{"text":"Question: What is the hundred thousands digit of 1152651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1550113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (0 + 1 + sqrt(1008) - (sqrt(1008)*2 + -3 + sqrt(1008))) + 3)**2.\nAnswer: -288*sqrt(7) + 4068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/(-2))\/((-7)\/7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 606*i**3 - 290*i**3 - 332*i**3.\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r = 3*k, 0 = -3*k + 5*r + 3 + 24 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-688)\/32)\/43*(-8)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6801709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 202720600 to the nearest integer?\nAnswer: 14238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -674156*y**2 + 2*y - 2*y + 674821*y**2 to the form k + v*y**2 + z*y and give v.\nAnswer: 665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 5 - 5)*(-778*y + 1197*y + 2495*y) to the form x + p*y and give p.\nAnswer: -23312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*j**3 - 127319150*j**2 + 506567670232684*j + 126641925515618.\nAnswer: 2*(j - 7957447)**2*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-63)\/27*7\/(-147)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 4, 3, 17\/5 in decreasing order.\nAnswer: 4, 17\/5, 3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**2 + 6*h - 3. Let w be b(-11). Let a = w - 87. Let u = a + 62. Calculate the remainder when u is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -25 - -32. Suppose p*i - 2*i - 20 = 0, -3*i = -2*j + 30. Suppose -j - 28 = -b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1660095 is divided by 42550.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**5*d*d)**19\/(d**(-1\/2))**(2\/15) assuming d is positive.\nAnswer: d**(1996\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.5 and 21596555362?\nAnswer: 21596555362.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the third derivative of -169*f**8\/112 - f**7\/210 + 8*f**5 - f**4\/12 - 556*f**2. What is the third derivative of v(k) wrt k?\nAnswer: -30420*k**2 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2749222891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3073.977 + -3071. Let r = d - -0.023. Sort -23, r, 0, 5 in ascending order.\nAnswer: -23, 0, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2049530 divided by 21574.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 11, 34, 87, 182, 331, 546?\n\"Answer: 2*u**3 + 3*u**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10 - -33. Let l = 3036407 - 3036430.0000225. Let n = l + j. Round n to 6 decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(40) + sqrt(640) - sqrt(40)) + sqrt(40))\/sqrt(2))\/(2*sqrt(16)\/sqrt(4) - sqrt(4)))**2 + 4*(sqrt(5) + 0)*1*1.\nAnswer: 4*sqrt(5) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*n - 4*n + 3. Let q(y) = y**2 - 2*y - 3. Let j(v) = v**2 - 1. Let z(r) = n*j(r) + q(r). Factor z(k).\nAnswer: -2*k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3124 < -0.072284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x**3 + 5. Let u(a) = a**2 + 4*a + 1. Let f be u(-3). Let n = 2 + f. What is the units digit of i(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate p**3*q**3 - 3*p**3 + 189*p*q + 493*q**3 with respect to p.\nAnswer: 3*p**2*q**3 - 9*p**2 + 189*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 2*u = -50, -u + 19 = v + 2*u. Suppose -v = -2*o + o. Let h = -16 + 30. What is the smallest common multiple of o and h?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u. Suppose -2*w - 6*w = 40. What is g(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 44220\/6633*9\/((-270)\/(-28))?\nAnswer: 56\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 2*i**2 - 22*i + 10. Let h be d(11). Let p(b) = -3*b**2 - 3*b. Let l(o) = 7*o**2 + 7*o. Give h*p(v) + 4*l(v).\nAnswer: -2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1128 + -2?\nAnswer: -112a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 38, -2, -32, -46, -38, -2, 68, 178?\n\"Answer: h**3 - h**2 - 44*h + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -5, 10, 31, 58, 91, 130?\n\"Answer: 3*v**2 + 6*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 619768837 to the nearest integer?\nAnswer: 24895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 869 and 4661.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 13812 and 48?\nAnswer: 55248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -8*x + 3*x + 346, -4*y - 3*x = -678. Let j = -5 + 8. Let o be 28 + j + (-2 - 1). What is the highest common factor of y and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (10 + 8 - 5)*(5*u - 8*u - 3*u) + (0 + 0 - 6*u)*(3 + 2 - 3) in the form q*u + m and give q.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 + 0. Suppose 3*s = -b*j + j + 9, -2*j = -3*s - 1. Suppose -2*k + 10 = 3*k. What is the remainder when k is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*b + 7*b + b - 7*b in the form u + k*b and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -315*f**3 - 3*f + 106*f**3 - f**2 + 98*f**3 + 107*f**3 - 2 + 2*f**2. Give y(2).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -87.1?  (a) 0.1  (b) -4  (c) 4\/9  (d) 262  (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -4*f. Let z(h) be the second derivative of -h**5\/30 + h**3 + 7*h. Let j(s) be the second derivative of z(s). Determine v(j(c)).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -15*c**3 + 44 - 88 + 44 + 11*c wrt c?\nAnswer: -90*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0 + (-3 - -6)\/1 + 1. Suppose -w*m + 4*x + 16 = 0, -3*m = -2*m + 5*x - 10. Is m smaller than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the product of 32 and 0.016?\nAnswer: 0.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*v + 36*v - 193 = 3*p, v = -2*p - 127. Which is the nearest to -1?  (a) 2  (b) p  (c) -2  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {c: 3, w: 2, t: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 200 - 557*r - 376 + 176.\nAnswer: -557*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(2\/9)\/((((g*g*g\/(g*g\/(g*g**(-20)))*g*g)\/g)\/g)\/g*g) assuming g is positive.\nAnswer: g**(164\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*y - 1221 = -72*y + 209 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -378*n + 378. Let b be q(1). Let j(f) be the first derivative of -1\/4*f**4 + 10 + b*f**2 + 2\/5*f**5 - 1\/6*f**6 + 0*f + 0*f**3. Factor j(y).\nAnswer: -y**3*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11489?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 697 or 806?\nAnswer: 806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in 0.2, -3, 10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**3 + 26*p**2 - p + 41. Let n(i) = -5*i + 50. Let x be n(10). Let q be 0 + x - (-25 + -1)*1. What is the remainder when 28 is divided by z(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {c: 1, r: 4, j: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*i**2*y**2 + 3*i**2*y + 8167662*i*y**2 - 2355*i*y - 18*i - 2*y + 2 wrt y.\nAnswer: 6*i**2 + 16335324*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 15?  (a) 17  (b) 2\/5  (c) 4  (d) 1.45  (e) -0.3  (f) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -65.2234145 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 17 = 18. Let y(n) = -n - 12. Let i be y(w). Is 8 a factor of (i - 3)*-2*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/99151 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 30*c. Let t be q(2). What is the greatest common divisor of t and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -4*p. Let s = 38 - 38. Let a be l(s). What is the closest to a in -2\/13, -2, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 311, -5, 8, -4.\nAnswer: -8, -5, -4, 8, 311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 21181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(72) - (1 + sqrt(72))) + sqrt(72) + -4 + 0 - (2 + -6*(sqrt(72) + -3 + sqrt(72))**2*1).\nAnswer: -426*sqrt(2) + 1773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/84*-3 - (-30)\/7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1373 - 1378. Is v > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 318419 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 81735892?\nAnswer: 2, 7, 139, 21001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/14 + (-19791)\/5131?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 586*o**4 - 3050 with respect to o.\nAnswer: 2344*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-52)\/260)\/(((-59)\/(-2))\/1))\/(2\/10).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -9d - 6?\nAnswer: -a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 5 - (1 + -1) - 3. Suppose 5*q + 41 = n*w, -q - 19 = -5*w + 118. Calculate the highest common factor of w and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 26 + -26. Suppose -21*m + 8*m + 104 = w. Solve 0 = 3*k + m + 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w - 224 + 264 = 0 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 4410*s - 3 - 8820*s + 4401*s.\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3230441023 (base 5) to base 4.\nAnswer: -122102022122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 22518 and 50775588.\nAnswer: 456980292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 7, c: 2, u: 1, j: 7}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 - 6 - (70 + -62)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (a + 0*a + 2*a + (0 + 5 - 3)*(0 + 0 - a) + a + 5*a - 5*a)*(-9 + 8 + 3*a - a) to the form x*a + k*a**2 + w and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of y**3 - 285*y**2 - 7*y - 4.\nAnswer: 6*y - 570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the first derivative of g**4\/4 - 4*g**2 - 3*g + 1. Let p be h(6). Let q = p + 388. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 5*k**3 + 2*k**2 - 2*k + 1. Suppose 2*a - 5 + 3 = 0. Let h be q(a). Suppose h*v - 5 - 889 = 0. List the prime factors of v.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-50)\/3 + (-116)\/87 + -3 + 3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -503ba (base 14) in base 15?\nAnswer: -3c207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 151\/423 - 10\/423. Solve 1\/9*h - n*h**5 + 10\/9*h**3 + 2\/9 + 2\/9*h**4 - 4\/3*h**2 = 0 for h.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38102041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 1079 + 312*v - 49*v - 1079 + 487*v as q + u*v and give u.\nAnswer: 750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 51489377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from unuq. What is prob of picking 2 u and 1 q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 4*x - x**2 + 1 + 13*x + 8*x - 28*x - x. Suppose -3*r - 5 = 10. Calculate k(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -123\/4430 and 40\/1404753.\nAnswer: 14047530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 11) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -211  (b) 3.979  (c) 3\/4  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -6.6, -3679.\nAnswer: -3679, -6.6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 - -2253201?\nAnswer: 2253176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 21971 - -116429. What is c rounded to the nearest 1000?\nAnswer: 138000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1505 is divided by 135.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4*1 - (-3 + 7). Let m be (-1 + u)\/((-9)\/45). Is 2 a factor of (-2)\/m + 432\/80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 4, n: 5, z: 6, s: 4}. What is prob of picking 4 s?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 40*a**3 + a**2 - 3*a + 2. Let l be k(1). What is the tens digit of (20 + 2)\/(5\/l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 64 - 19. Let h = o - 42. Suppose 5*w = h*w. Solve 8 = -2*f - l - l, -l = w for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3126500602 to the power of 1\/2, to the nearest integer?\nAnswer: 55915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -10.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15 + -15. Which is the nearest to -0.2?  (a) 2  (b) -5  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 10*a - 2. Determine i(-10).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and -275.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 525*g**2 + 2*g - 1. Let w be m(1). Let o = w - 95. Let u = -274 + o. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*b + 4*b - 4*b)*(5 + 3*b - 5) + 8*b**2 + 4*b**2 - b**2 + (2*b + 4 - 4)*(b + 4 - 4) - b**2 + 2*b**2 + b**2.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*c + 7*c + 3*c)*(638*c + 609*c - 964*c)*(0*c - 4*c + 3*c) + 5*c**3 - 5*c**3 - 4*c**3.\nAnswer: -853*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 513 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -13*z**3 + 11*z**2 + 4*z. Let m(k) = -7*k**3 + 6*k**2 + 2*k. Suppose -5*l = -b - 36, -b + 6 = 38*l - 36*l. Calculate l*g(f) - 11*m(f).\nAnswer: -f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 173489284 and -1829.67?\nAnswer: 173491113.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*m - 14 = -2*l - 2*m, 3*l = 5*m + 18 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -8 - -4 - (-42 - -2). Suppose 0 = -9*w + 6*w + f. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-52)\/7 - (300\/450)\/(2\/(-21)). Let s = 1\/4 + -7\/20. What is the third biggest value in s, p, 18?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 124185540, 248371082, 372556624, 496742166, 620927708, 745113250?\n\"Answer: 124185542*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2457 - -4?\nAnswer: -2453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.5?  (a) 5  (b) 0.1  (c) 12  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 3*w - 5)*(-62 + 8 - 65 - 36) as t*w + u and give t.\nAnswer: 465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -786641*k**3 + 2*k**2 - 4388578*k wrt k.\nAnswer: -4719846*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.008208 take away -571?\nAnswer: 571.008208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 5, q: 5}. What is prob of sequence ppqp?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = -4*z + 5, 1029*z - 1034*z - 5*f = 0. Solve 3*h + 8 = 3*q - 13, -z*q - 5*h = 15 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i - 65 = -v, 6830*i - 6832*i = 5*v + 53 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 41\/146568 and -17\/1654?\nAnswer: 121211736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 8 - (3 - (-4)\/(-2)). Let x(k) = k - 5. Let n be x(c). Suppose 0 + 1\/4*f + 1\/4*f**3 - 1\/2*f**n = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, n: 1, m: 1, h: 1, e: 1}. What is prob of sequence nmke?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*u = -3513 - 12759. Suppose 5*r + c = u, -r - c - 21 = -427. Round r to the nearest 10.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-9)\/4 - 1\/(-4). Suppose -95 = -54*z + 73*z. Sort z, 14, -4, b.\nAnswer: z, -4, b, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 2*j - 3*k = -5814860, -1453734 = -j + 4*k. Let f = -969718 + j. What is f rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 43*h - 3. Let y(j) be the second derivative of -43*j**3\/3 + 5*j**2\/2 - j + 5078. What is -5*i(z) - 3*y(z)?\nAnswer: 43*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8443 + -4851. What is the greatest common divisor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 292796971 is divided by 146398482.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11992*t - 25 - 33 - 11991*t)*(3*t - t - 5*t + (4*t + 0*t - 2*t)*(2 - 1 + 0) + 3*t - 8 + 8).\nAnswer: 2*t**2 - 116*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 minutes before 4:15 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jhe when three letters picked without replacement from hje.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -586801*v**2*z**4 - 2*v**2*z**3 + 2*v**2*z**2 + 384*v*z**2 + 2*v*z - z**3 - 709*z**2 - z wrt z?\nAnswer: -14083224*v**2*z - 12*v**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 56 + -48. Let l(z) = -22*z - 29*z + d + 15*z. List the prime factors of l(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 1, z: 2, p: 4}. What is prob of picking 1 b and 3 p?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-s - s + s)*(-s + 2*s + 0*s) - 3*s**2 + 2*s**2 + 3*s**2 + 13 - 13 - 11*s**2)*(3*s**2 - 4*s**2 + 0*s**2) + 3*s**3 - s**4 - 3*s**3.\nAnswer: 9*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8 - (-7 - -9)) + 0 + -10 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -18*y**2 + 2*y + 13. Let h(w) = -6*w**2 + w + 4. Determine -7*h(l) + 2*s(l).\nAnswer: 6*l**2 - 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -39*a + 2383. Calculate n(67).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 202*g + 1925 = -18*g - 55 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3428.\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 5  (b) 3  (c) 2  (d) 47.5504\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11 - -15. Suppose -3*w + s*w - 31 = 4*n, 2*w = -n - 19. Let z be 2\/((30\/n)\/(-5)). Solve 0 = u + z*v - 7, -u + v - 13 = -v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64 = 4*k + 44. Suppose -5*m = 3*v - 17, k*m = 3*m + 2*v + 10. Suppose y + 2150 = 4*z + 13746, 8684 = -3*z + m*y. Round z to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 50\/18 - 4\/(-18). Suppose f*o = 4*h - 360, 5*o = h - 48 - 42. Calculate the common denominator of ((-3)\/2)\/(h\/1310) and -57\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2536 - -2028. Which is greater: 1\/3 or f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -101\/504716 and 69\/5624?\nAnswer: 37348984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that 4*j**3 - 4116812*j**2 - 78220800*j - 74103984 = 0.\nAnswer: -18, -1, 1029222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 7:53 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**2 + 4*b - 3. Let i(u) = -u**2 + u. Let k(c) = g(c) - 6*i(c). Give k(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2012 (base 3) to base 7\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 173750\/4*(13 + 339). What is b rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 91 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -991*m = -889*m + 1428 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -108*o - 13106. Let k(r) = 26*r + 3277. What is 6*d(j) + 25*k(j)?\nAnswer: 2*j + 3289","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1336 and 32899668.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*u - 19*u + 18 + 12*u - 33 + 21.\nAnswer: 14*u + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the first derivative of -m**4\/20 - m**3\/10 - 7*m + 1. Let s(q) be the first derivative of k(q). Factor s(i).\nAnswer: -3*i*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -672*r = -671*r - 12837. What is the thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*u - 6894 + 6810 = 0. Let a(b) = -b - 15. What is a(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4603354 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 106 divide 719631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26991.\nAnswer: 3, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sum -147935709 and -21.\nAnswer: -147935730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 - -17. Let z = q - 12. Sort 0, z, -4 in decreasing order.\nAnswer: z, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -209*n + 13. Let m(f) = 278*f - 15. Let h(g) = 3*m(g) + 4*q(g). Suppose 3*d = -13 - 2. Calculate h(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 377*q*x**3 - q*x**2 + 1256*x**3 with respect to q.\nAnswer: 377*x**3 - x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 22347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 199 a factor of 22089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**3 + 67*k**2 - 210*k + 5. Let d be r(-70). Solve -d*s + 21 = -9 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-11)\/1309)\/((-20)\/14)*4.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of -39*3\/(-9)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -121 - -80. Let g = p - -40.9. Which is the closest to g?  (a) 3  (b) 0.3  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 2840, 2854, 2890, 2960, 3076?\n\"Answer: 2*j**3 - j**2 + 3*j + 2836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -605.1 + 605. Let h = -0.3 + 0.5. Which is the second biggest value?  (a) h  (b) y  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1345.23 - 199.1. Let t = d + -1154. Let o = 8 + t. What is o rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 - -22201?\nAnswer: 22212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a**5 + 0*a**5 - 2*a**5)*(5 - 2 + 2) - 3*a**5 - 2*a**5 - 2*a**5.\nAnswer: -22*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 8170913 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 785561 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 2198, 4511, 6940, 9485, 12146, 14923?\n\"Answer: 58*q**2 + 2139*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) -0.07  (b) 7  (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a - 24. Calculate g(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 18580*y**2. Let w(u) = -3*u. Give o(w(b)).\nAnswer: 167220*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/3 in -1\/6, -0.2, 2\/3, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qb when two letters picked without replacement from mmmffmfpbqp?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r + 7. Suppose -13*q - 18 = -70. Suppose 12 = -3*v, q*l + v = 2*v + 4. What is a(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3087 - -4768. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12*t - 24 - 3\/2*t**2.\nAnswer: -3*(t + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 2*x + 10. Let m(u) = u**2 - 11*u + 11. Let j be m(9). Let q be n(j). Let z be 10\/q*(-14)\/35. Solve r + z = 3*l - 2, 2*l = 2*r - 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.003 times -1\nAnswer: 0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-54)\/(-6)*(-6)\/333)\/(13\/(377\/(-58)))?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 734 + -290. Which is smaller: -0.1 or a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11375, 11366, 11351, 11330, 11303, 11270, 11231?\nAnswer: 11186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(294)\/(3*sqrt(7))*-3)\/(sqrt(864)*1 - ((sqrt(18)\/sqrt(3) - sqrt(6))*3 + sqrt(6))) + 3)**2.\nAnswer: -6*sqrt(7)\/11 + 1096\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 76 in -0.06, 341, 1, 44, 2\/3?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in -4, -0.16, 1.1?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*m**2 + m**2 - 4*m**2 - 3*m**2 as p*m**2 + y*m + h and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 210*g - 946 - 734 = 0 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 517076245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0006324302 rounded to five dps?\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 5 + 2 + ((((sqrt(567) - (sqrt(567) + (sqrt(567) - -2*sqrt(567)))) + sqrt(567))*-4 - sqrt(567))**2 + sqrt(567))*-1.\nAnswer: -27772 - 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000007069381 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mwwarbbabasb. What is prob of picking 1 a, 1 w, and 2 b?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -13320 by -60.\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -6115.1 times 0.8039\nAnswer: -4915.92889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/5 in -2, 1\/8, -5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 181614, 1453171, 4904600, 11625837, 22706818, 39237479, 62307756?\n\"Answer: 181656*f**3 - 35*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4617 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -222 divided by -3\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -3052 (base 6) to base 5\nAnswer: -10210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -1246*m - 1304. Is o(-4) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1252*q + 25 = -1257*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20785 is divided by 169?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 49\/(-6) - (-4)\/24. Let r = p + 11. Solve 0 = r*c + 3*h - 3, -4*c + 0*c - 1 = -h for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 205*p**2 - 4*p + 3. Let i(z) = 206*z**2 - 3*z + 2. What is -3*f(c) + 4*i(c)?\nAnswer: 209*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -43892 greater than -43896?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6901 + 6913. Solve 2*u = -k - 9, -13*k + 9*k - a = -4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -323857 + 323857. Let v = -6 - -9. Factor i*t**2 + 4\/3*t**5 + 0 + 0*t + 4\/3*t**4 - 8\/3*t**v.\nAnswer: 4*t**3*(t - 1)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**2 - 2*b + 11. Determine m(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2 + 7\/1 + -2. Let h be ((-24)\/10)\/((-48)\/30 - -1). Solve -h*d + n*d = -5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2847047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) 5  (b) 2  (c) 0  (d) -3  (e) 283\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(540)*-1 + sqrt(540)))\/(6*(sqrt(36)\/sqrt(3) + sqrt(12))*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -81 + 66. Let o(x) = x**3 + 15*x**2 - 14*x + 17. Is o(r) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 131 - 263 - 3*u**2 - 8*u**2 + u + 2*u**3 + 136 + 0*u**2 to r*u + o + p*u**2 + q*u**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 - 7. Let h be -1 + (k + 4)\/1. Which is the nearest to h?  (a) 3  (b) 1  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23971653?\nAnswer: 3, 887839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:39 PM and 2:42 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-2\/5)\/z*z\/(z*z*z**5)*(z**(-1\/2))**23)\/((z**(1\/2))**(-30\/11))**(2\/11) assuming z is positive.\nAnswer: z**(-21359\/1210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.1 or -37068?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/3*(13 - 4). Suppose -5*p + 7 = -x. Solve -2*q - 4*q**p + 2*q**2 + 2*q**3 - 4 + 3 + 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d = 4*i - 16, -3*i + 17*d - 244 = 16*d - 246 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and -11\/122 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*d + 7*d - 4*d + 5*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2, -0.4, -3, -3740?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the first derivative of 263*w**2\/2 - 27*w + 35. What is the units digit of z(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-15488)\/(-20))\/8*(-5)\/(-2). Let r = m - 2180\/9. Which is the second biggest value?  (a) r  (b) -1.5  (c) 2\/21  (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - q = -144. 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 the greatest common divisor of 177660 and 2181816?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 665 divide 1768684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2780544.\nAnswer: 2, 3, 13, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/(-2) - -4 - 0. Suppose 5*j = 5*a + 25, 3*a = -w*j + j + 9. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 70035456 and 1152?\nAnswer: 210106368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the first derivative of f**2\/2 - 7*f - 41. Suppose 4*u = -4*n + 8, 2*u + 0*u = 4*n - 8. Calculate c(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 82 + -74. Suppose -21 - 102 = -3*l. Calculate the remainder when (y - 9)*(0 - l) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 113, -1, -11, 6, 2\/11, 0.2 in descending order.\nAnswer: 113, 6, 0.2, 2\/11, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 128\/12 + (-2)\/3. Let b be 2\/h - (-76)\/20. Suppose -63 = -b*p + 17. Solve -2*l - 7 = -s, 2 = -3*s + 5*l + p for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -147*r - 4540 = -163*r + 101*r + 220 for r.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**3 - 7*s**2 + 8*s - 9. Let k be n(6). Let w be 1\/((-96)\/(-33) - k). Let p(f) = 5*f**2 + 11. Let l(v) = v**2 + 2. Determine w*l(o) + 2*p(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w**2\/11 + 4412*w\/11 + 278330\/11 = 0. What is w?\nAnswer: -2141, -65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1179, -1180, -1181, -1182, -1183, -1184?\n\"Answer: -k - 1178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-12)*(-984)\/(-1599)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 5 - 93*n + 92*n - 4. Let l be v(0). Solve 6*q - 2*q + l = a, 4*q - 3*a = 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2.2 and -131695140.3457.\nAnswer: -131695142.5457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (16\/(-7))\/(23 + -28 - (356\/(-28) + 8))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 9*h + 7. Give s(-5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1319*p + c - 7 = -1318*p, 0 = 5*c - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the third derivative of w**6\/120 - 7*w**5\/60 - 7*w**4\/24 - w**3\/2 + 3*w**2. What is the units digit of o(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00003875281 to seven dps.\nAnswer: 0.0000388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is (-33)\/9 + (-4691694)\/(-153) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-47 - -54)*5\/(15 + -10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 130, 3, 272 in ascending order.\nAnswer: -5, 3, 130, 272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, 18, 4?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1182368?\nAnswer: 2, 11, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (t + 3*t - t + (4*t - 3*t - 2 + t)*(1 - 2 + 2))*(t**4 + t**4 - 3*t**4).\nAnswer: -5*t**5 + 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w**3\/5 + 3694*w**2\/5 - 158046*w - 938986902\/5 = 0 for w.\nAnswer: -379, 1113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the second derivative of -d**3\/6 + 5*d + 83. Let l(a) = 4*a - 1. Determine 4*k(h) + 2*l(h).\nAnswer: 4*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 + -51 - 10 - -38?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 29699\/6 + -4935. Let i = 3125 + -18859\/6. What is the common denominator of i and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -175 - -175. Suppose 5*f + 23 - 53 = r. Solve -4*d = 3*g + 27, 19 = -5*g - f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d + 7 = -0*d. Let r = -4 + 2. Let z be (-2)\/(-6) + r\/(-3). Put d, z, 0 in increasing order.\nAnswer: d, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -39 + 38. What is the closest to o in -0.08, 0, 0.5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 833 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -10.007 from -230496.76.\nAnswer: -230486.753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 4916580 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = d - 7. Let c(l) = l - 15. Let b be c(8). Let j = d - b. Solve 5 = j*o - 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(272) + sqrt(272) + 1 + sqrt(272))*1 + (-2*sqrt(272) + 4 - -6*(-1*sqrt(272) + sqrt(272))) + -4)**2*5*-4.\nAnswer: -348240 - 2560*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 117*k + 3204. Let g be f(-27). Solve -g*q + 70 = -10*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -87 + 83. Let m = -0.504 + 0.304. Sort -2\/9, m, q, -9\/4 in descending order.\nAnswer: m, -2\/9, -9\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 59272, 4, 8 in increasing order.\nAnswer: 4, 8, 59272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w + 3*w + w**2)*(-3*w**3 + 4*w**3 + 0*w**3)*(-2 + 3 + 2).\nAnswer: 3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 521205.9 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**2 + 3*u - 7. Let n be v(-4). Let w(y) = 2*y**2 + 5*y + 2. Calculate w(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 10*z**2 + 7*z - 2. Let p(v) = v**2 - 2*v. Determine -2*p(f) - y(f).\nAnswer: -12*f**2 - 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 1067*z**2 - 16*z - 13. Let w(d) = -1060*d**2 + 15*d + 12. Determine -12*r(b) - 13*w(b).\nAnswer: 976*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.04 - -1. Let x = 0.38 - 0.04. Let c = x + g. What is the third smallest value in c, -0.1, 1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 227.0238 + -227. Let o = t + -0.02. Round o to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-42)\/4*12\/(-18). Suppose 4*a - x*c = -2*c + 6, -7 = a + 3*c. Let t = a - -1. Is -1 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -2*a**3\/3 - 565116*a**2\/7 + 403658*a\/7 + 484388\/21 = 0.\nAnswer: -121097, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, l: 1, p: 1}. Give prob of sequence pl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 820589 - 303093.\nAnswer: 517496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 133, -0.14, -3\/2, 4?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/(-8)*12\/2124. Is -1 at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2248839 and -12.\nAnswer: -26986068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3\/32  (b) -0.9  (c) -10\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 13, 19, 19, 13, 1?\n\"Answer: -3*s**2 + 15*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -4*s + 3*h, 2*s - 7*s + 2*h + 12 = 0. Suppose 24 = -2*f - s. Let g = 48 + f. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39707383 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -135380, -135378, -135374, -135368?\nAnswer: -135360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64*f + 9*f + 188650 = 0. Is f a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-1\/2)*(z*z*(z*z**(-1))\/z)\/z*z\/(z**(3\/7)\/z)*z\/z**8)\/((z\/z**(-1\/5))**(-39)\/(z**(2\/9)*z**7)) assuming z is positive.\nAnswer: z**(30299\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (6*(-5*sqrt(175) + sqrt(63)*3))**2*2.\nAnswer: 129021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -788704 = -7*t - 87983. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 220150373*c**2*j**3 - 5*c**2*j**2 - 44*c**2*j - c**2 - 2*c + 3*j**2 - 4950*j wrt j.\nAnswer: 1320902238*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - (-2 - -19) - (-626 - -642)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + (((-4)\/(-24))\/(35\/(-2702)) - -5)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*g - 1512 = 5*g. Let r = g - 199. Let o = 93 + r. Which is bigger: o or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 252 + -253. Sort 36, g, -3, 2.\nAnswer: -3, g, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 3486553*c - 3487*c**2 + 3486553*c to the form i*c**2 + r*c + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**2 - h - 6. Let c be u(3). Let p(j) be the third derivative of -1\/21*j**3 + 0 - 1\/210*j**5 + c*j + 1\/42*j**4 + 3*j**2. Factor p(d).\nAnswer: -2*(d - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the first derivative of 0*g + 54 + 0*g**2 - 10\/3*g**3. Let z(t) = -4*t**2. What is z(j(a))?\nAnswer: -400*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from mfdfdttmmddafmfm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5227 * -0.28.\nAnswer: -1463.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-12)\/10 - -2)*(-30)\/(-12). Let u be 8\/(r\/(-5) - (-36)\/15). Let m = -7.3 - -7. Which is the biggest value?  (a) u  (b) 0.5  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 60, 235, 528, 939, 1468, 2115?\n\"Answer: 59*n**2 - 2*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 0*m = m - 10, 4*m + 20 = 4*n. Suppose -n*g + 17 = -4*u, g - 13 = -5*u + u. Which is the biggest value?  (a) 2\/3  (b) -0.4  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 68.2 + -71.2. Which is the closest to -0.1?  (a) u  (b) 0.5  (c) 5  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.1 and 45.7723.\nAnswer: 45.8723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 16 + -9. Let z = h - -1. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -37*c - 1. Let q(m) be the third derivative of -2*m**5\/15 - 2041*m**2. Determine s(q(n)).\nAnswer: 296*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, t: 5, x: 9, s: 1}. What is prob of picking 3 x?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/51 and -93\/238?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*d - 0*d - 192. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 24 - 8.5. Let i = h - 16. Let k = -6 - -8. Which is the third smallest value?  (a) k  (b) i  (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 1028224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 184301 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(1*sqrt(432)*1 + 1) + (-3 + sqrt(432) + 1 - (sqrt(432) - -5*(sqrt(432) + 0))))**2.\nAnswer: 432*sqrt(3) + 15561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-11\/4)*h)\/(h**(-3\/5)*h*h) assuming h is positive.\nAnswer: h**(-63\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (162 + 2)*(158\/(-8))\/(-1). Suppose -5*a = 2*j - p, 0*j - 2*j + 1298 = 2*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes before 10:58 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -30*n**2 + 4518141*n + 53*n**5 - 4*n**2 - 4518129*n - 24*n**6 wrt n.\nAnswer: -2880*n**3 + 3180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -7*w**2. Let g(f) be the second derivative of -f**4\/6 + 7*f. Calculate g(q(i)).\nAnswer: -98*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 139662105?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**3 + 46*l**2 - 496*l - 497. What is x(21)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 2*n**3 + n**2 - 9*n - 9. Let s be t(-1). Let j be -3 + (-1)\/((-5)\/17). Are j and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z - k + 6 = 0, -65 = 111*z - 110*z - 16*k for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -20854, -41611, -62380, -83167, -103978, -124819?\n\"Answer: -z**3 - 20750*z - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 152\/(-128))\/(81\/36).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1078 - -1079. Which is the closest to 6?  (a) 4\/3  (b) y  (c) 2\/3  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 14 - 66*x + 0 - 5 + 10. Is w(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 30634.97 - 30857. Let k = s + 222. What is k rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 110*r**2 - 37*r**2 + 893 - 893 - 53*r**2.\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 16\/777 and -7\/37.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the second derivative of m**3\/3 - 9*m**2 + 2*m. Let j be q(11). Suppose -j*n = -8*n + 8. Solve 0*d - a + 4 = -n*d, d = 3*a + 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.789799 - 0.210191. Let u = 0.3 + -1.3. Let q = d - u. What is q rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 6 = -4*k + 44, -5*m = 2*k - 39. What is the remainder when 55 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o + 5*a = -25, a + 0*a = -4*o - 23 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*d - 43 = 53. Suppose b - 38 = -0*b + 4*l, 3*b = 3*l + 69. Let v be -26*(d\/b + 14\/(-12)). Calculate the highest common divisor of 65 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -354264, -1417028, -3188304, -5668092, -8856392, -12753204?\n\"Answer: -354256*o**2 + 4*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - (2 - (10 - 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 17*p - 12*p - 50, n = -5. Suppose 0 = -0*b - b. Solve -2*u = 2*r - p*r + 17, -u + 4*r - 13 = b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -784536+4\nAnswer: -784532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/5*(-12 - -2). Differentiate -10 - 1 + 5*g - u + 3 wrt g.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 10 = -3*r. Let b(g) = 3*g**2 - g + 1. Let x be b(r). Suppose -3*w = p - 1 - x, -6 = w - 3*p. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(162) - (sqrt(162) + -4*sqrt(162) + sqrt(162)))**2*-1 - 5*sqrt(162)*1) + (sqrt(162) + 2 + -5)**2 + ((6*sqrt(162) + -5)**2 - sqrt(162)).\nAnswer: -648*sqrt(2) + 4570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 41460 and 75918.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*i - 2*i**3 + i**3 + 5*i + 6*i to o + w*i**3 + l*i + f*i**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (17\/(306\/(-18)))\/((-2)\/18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 794 is divided by 734?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r\/(r\/(r**(-2)\/r*r))*r\/(r\/((r*r\/(r*r**6))\/r*r))*r**5\/r**(-2) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 12437 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 2496, 10007, 22568, 40215, 62984, 90911, 124032, 162383?\n\"Answer: 6*j**3 + 2489*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 171.57 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = y + 1. Suppose -5*k + 3*g = -20, 2 - 10 = -2*k + 3*g. Put k, -1, y in ascending order.\nAnswer: -1, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 162123600 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 856907140 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k = -2*k + m, 5 = 2*k - 3*m for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4814.9 - -4815. Which is smaller: -1260\/11 or t?\nAnswer: -1260\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/13 in 0.1, 0.5, 2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 75315 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 275 a factor of 44677002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1203 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-24)\/(-234)*1)\/(381\/1143*1\/(-3)).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -8 divided by -697\nAnswer: 8\/697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o + z + 1656, -o + 3*z = 1 - 321. Suppose 347 - o = -15*t. Let l(a) = -15*a**2 - 1. What is l(t)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 21*r**2*u - 302195*r**2 + 374*r*u**2 + 5*u wrt u.\nAnswer: 21*r**2 + 748*r*u + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/7*105\/(-35)*112\/(-48))\/(-7)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (((-5)\/(-2))\/((-871)\/156 - -6))\/(-3). Sort 3\/8, -2\/7, j, 28\/61 in increasing order.\nAnswer: j, -2\/7, 3\/8, 28\/61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h - 4*m - 5, 4*h + m - 14 = -m. Let d(l) = 2*l**3 - 5*l**2 + 2*l + 1. Determine d(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1950 and 18699.\nAnswer: 12154350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*v - 105 - 120 = 0 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t - 1. Let o be (-94)\/(-14) + 4\/14. Let p be (-2 - 0)\/(6\/(-24)). Let d = o - p. Let u(q) = -q**2 + 5*q + 3. Calculate d*u(g) - 5*r(g).\nAnswer: g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hxnn when four letters picked without replacement from {q: 4, x: 1, n: 3, h: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -j**4 - 25*j**3 - 426*j + 57682 wrt j.\nAnswer: -4*j**3 - 75*j**2 - 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 716049 minus -0.11124?\nAnswer: 716049.11124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 169401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.74 + 1.74. Let s = 43 - 43.27. Let h = s - 0.03. Which is the third biggest value?  (a) z  (b) h  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**3 - 8*o**2 + 17*o + 8. Let z(l) = -5*l**3 - 41*l**2 + 84*l + 41. Let g(m) = -11*x(m) + 2*z(m). Suppose 0 = 4*t + 38 - 6. Does 7 divide g(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.3 - 1.7. Let l(p) = -14*p**2. Let x be l(1). Let o be 2\/(-4)*(-8)\/x. Which is the second biggest value?  (a) o  (b) 1  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13*8\/(-4)*(-8)\/(-16).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44 = 4*x + 4*m, -x + 44 - 55 = -3*m for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/3)\/((-1)\/(-1)*1\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 20254 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 7*d - 19. Does 16 divide z(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -10*1 - 1 - (-374)\/33. Let j = 0 - 3. What is the closest to h in -0.3, 1\/3, j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50631 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 135*k**4 - 3255*k**3 + 17630*k**2 - 1680*k - 1280 = 0. Calculate k.\nAnswer: -2\/9, 1\/3, 8, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (32\/112*3)\/(-1*(-18)\/(-84))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -0.02, -34, 4, -0.5, 12?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 35  (b) -0.2  (c) 187\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*p**2 + 4*p**2 - 5*p**2)*((4 - 5 + 3)*(4 - 2*p - 4) + 0*p - p + 3*p).\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 325*k. Let w(u) = 17*u. Let s(x) = 2*o(x) - 39*w(x). Suppose 4*l - 7*l + 57 = 0. Let a(m) = -l*m + 37*m - 21*m. Give s(a(b)).\nAnswer: 39*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from edmyonodymnnymom?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l**3 - 5*l**2 + 10*l - 4. Calculate q(5).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = 5*z - 123. Suppose 4*k - 3*y + 2 = 121, -k + 3*y + z = 0. Suppose -9 - k = -5*p. Calculate the remainder when p is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10*t**4 - 346*t**2 - 14392*t?\nAnswer: -120*t**2 - 692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.1 + 1.2. Let d = 2.7 - -3.2. Let c = d - 0.9. What is the closest to h in 0.2, -1, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 2*g**3\/5 + 78162*g**2\/5 - 1955028*g\/5 + 10636832\/5 = 0.\nAnswer: -39106, 8, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**2 - 12*y - 16. Let x be t(-11). Put 0, 4, x in descending order.\nAnswer: 4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the second derivative of q**3\/2 + q + 36. Let s(r) = r**2 - r - 1. Let h(x) = -12*x**2 + 6*x + 6. Let c(p) = h(p) + 6*s(p). Give c(l(y)).\nAnswer: -54*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -380 divided by -4\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 3*j = 3*p - 25, -3*p + 21 = -3*j. Let o(s) = s**2 + 14*s - 11. Let v be (-14)\/1 + (-3)\/3. Let b be o(v). Solve -b*n = -n - p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 i when two letters picked without replacement from qgfinfz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47213.\nAnswer: 31, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 12610792 divided by 4198?\nAnswer: 3004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**3 + 4*j + 7. Let m(s) = 5*s**3 + s**2 + 20*s + 36. Let k(x) = 11*b(x) - 2*m(x). Let o(c) = 2*c**3 - 3*c**2 + 7*c + 9. Give -7*k(y) + 4*o(y).\nAnswer: y**3 + 2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 169*u**3 - 25 + 233*u**3 - 8*u**2 - 403*u**3 + 2*u**2 + 0*u**2 in the form p + i*u**2 + x*u**3 + t*u and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 3*q**2 - 7*q + 31. Let n(p) = 3*p**2 - 5*p + 30. Calculate 3*j(x) - 4*n(x).\nAnswer: -3*x**2 - x - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -62 + 108. Let n(s) = 6*s**3 - 2*s**2 + 1. Let q be n(3). Let j = q + k. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 5*g - 8. Suppose 13 = -2*t + r, -2*t - 5*r = -0*t + 31. Let i(q) = -2*q + 3. Suppose 25 = -4*z - 11. Let l = z + 6. Determine l*o(f) + t*i(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-460*n + 76799 - 76799)*(-2*n**2 - 1 + 1) + 2*n - 2*n + n**3.\nAnswer: 921*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = 2*u - 10. Suppose -4*i + 1 - 16 = 3*d, -u*d = i. Let q be ((-57)\/i)\/(4\/8). Calculate the highest common divisor of 209 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 (base 7) to base 10\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 5293 (base 11) to base 6\nAnswer: 52223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 15\/(-24) + (-3)\/4 and (-923)\/(-52) - 3\/(0 - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*z + 3*z**2 - 6*z + 3*z**2 + 5*z**2 - 2*z**2 + (0*z + 0*z - 2*z**2)*(3 + 2 - 3).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/(-2)*(-5)\/20?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 - -2541?\nAnswer: 2532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ccccccsccss. What is prob of sequence sccs?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i - 48 + 48)*(-4*i**3 + 0*i**3 + i**3).\nAnswer: 6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**2 - 4*l - 5. Let u be b(6). Let c be (-2)\/4*(-12 + 4). Let v(h) = -h + 1. Let o be v(c). Put 5, u, o in increasing order.\nAnswer: o, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fv when two letters picked without replacement from {v: 1, x: 1, f: 3, y: 9}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -92 + 129. Suppose 5*n + 2 = b. What is the remainder when n is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15596.62 rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 5*t - 20 = 0, -3*t - 59 + 34 = 5*i. Sort -11, i, -3, 1, 4 in ascending order.\nAnswer: -11, i, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4512\/29497 - -2\/2269. What is the closest to -0.03 in 0.5, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 300633846 rounded to the nearest 100000?\nAnswer: 300600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 12371380 a multiple of 898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 391794523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes after 11:36 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -3*n + 3*i, 0*i + 2*i = -n + 12. Suppose n*r + 0*r = 80. Let d be r\/(-6)*(-4 + 1). Solve d = -2*o - 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -6*t**2 + 6*t + 135. Let i(d) = -d**2 + d + 25. What is -11*i(m) + 2*z(m)?\nAnswer: -m**2 + m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 3*u + 24. Let l be b(6). Let v = l + -36. Solve -4*q - 5*g + 3 = -11, 2*q - 4*g = -v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**19*t\/t**(-10\/9)*(t**26*t)\/(t*t*t**(-6\/7)) assuming t is positive.\nAnswer: t**(2959\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14361043?\nAnswer: 14361043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65500 is divided by 356?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-342312)\/(-18216) + 2\/23 - (-7505)\/(-395)?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 14*a**2 + 8*a**4 + 0*a**2 + 6*a**4 wrt a?\nAnswer: 336*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 + -27 + 4 + (12 - 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7456 and 9087?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**3 - 5*k**2 + 5. Suppose 3*x + 6 = 0, 2*x - 7 = -m + 6*x. Let a(u) = -u**2 + 1. Suppose 4 + 16 = 4*p. Let l(i) = m*s(i) + p*a(i). Factor l(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 20*d - 8. Let q(b) = 7*b - 3. Let p(t) = 3*n(t) - 8*q(t). Let f(s) = -5*s + 3*s + s. Determine p(f(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -18, -44, -80, -126, -182, -248, -324?\n\"Answer: -5*m**2 - 11*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -7208452, -7208446, -7208440, -7208434, -7208428, -7208422?\n\"Answer: 6*o - 7208458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 16?  (a) 2  (b) 3.7  (c) 0.4  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -7*a**3 - 2*a**2 - a. Let z = -1 - -1. Suppose -7*t + 28 + z = 0. Suppose 8 = -4*l + t. Calculate g(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 305499222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -198.7 + 229.61. Let o = f - 29.3. What is o rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 44 - 43. Let k(q) = -q - u - 5 + 6. Let w(z) be the second derivative of 3*z**4 - 3*z - 14. Give w(k(d)).\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 366175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 111 and 622377.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/32*4\/366*6\/(-9)*-9.\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**3 + 45*m**2 + 40*m + 280. Let a be z(46). Factor -6\/5*f + 0 - 2\/5*f**a - 2*f**3 - 14\/5*f**2.\nAnswer: -2*f*(f + 1)**2*(f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.59235 - 0.09235. Let x = -0.2 - -0.3. Let k = x + -0.2. What is the nearest to k in f, -3, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31 is divided by (-1 + (-12)\/(-1))\/1 - -7.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -81097442 by -193.\nAnswer: 420194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3242, -9807, -20748, -36065?\nAnswer: -55758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: What is 5 + (-8 - -9) + (2 - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -3*a - 20. Suppose 0 = a*d - 34*d + 399000000. What is d rounded to the nearest one million?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 + 33 + -21 - (-1 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 less than 1.4012?\nAnswer: 2.4012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16 + -17. Let w be ((48\/4)\/(-3))\/o. Let s(d) = d + 4. Let j be s(-6). Put 3, w, j in decreasing order.\nAnswer: w, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7703, -15705, -23705, -31703, -39699?\nAnswer: -47693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 + -8c?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10882863.\nAnswer: 3, 107, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -24 - 16 + 34 + 115*b. What is the units digit of w(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -44*k**2 + 2*k + 1. Let v be w(-1). Let f be ((-12)\/(-10))\/((-6)\/v). Find the first derivative of f*d**2 - 2 + d - d - 17*d**2 wrt d.\nAnswer: -16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4 and 118.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 74.5 + -20.\nAnswer: 54.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 2, p: 7, w: 1, l: 3, j: 7}. Give prob of picking 2 p and 2 l.\nAnswer: 21\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 32 + -29. Suppose 4*v - 5*j = -p*j + 1040, -4*j = -8. What is the units digit of 6\/(-30) + v\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3304.06 take away 2908086?\nAnswer: -2911390.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 721*z + 123 - 367 + 126 + 118 in the form t*z + m and give t.\nAnswer: 721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the second derivative of f**3\/6 + 7*f. Let s(j) = -6*j. What is 5*k(v) + s(v)?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-5)\/(3 - (-20)\/(-6)). Suppose -114 = 9*n - s*n. Suppose -i + 2220 = n*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -2*g**2 - 18*g - 9. Let k be f(-8). Solve -4*a + 4*v - 4 = 0, 4*a = 2*v - 3 - k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 3*b, 4*a = 5*b - 1 + 2. Which is smaller: 2\/65 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -653, -719, -783, -845?\n\"Answer: c**2 - 69*c - 585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pppp. What is prob of picking 2 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*n - 126*i = 3*n - 124*i - 16, 0 = 2*n + i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 95\/2 + -134\/3. Let o = x + -37\/12. Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f - 1. Let p(o) = -4*o - 18. Let b(l) = 6*a(l) - p(l). Let s(z) be the third derivative of -z**5\/30 - 3*z**2 - 439. What is b(s(x))?\nAnswer: 4*x**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 2*r = -131 - 11, -p + 62 = 3*r. Suppose -g + d = -10, -5*d - 10 = g - p. What are the prime factors of (g\/(-2))\/((-17)\/102)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 215 = 5*p + 180. Suppose -3*w = 5*u - 3299991, 4*u + p*w = 10*w + 2640009. Round u to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j - j. Suppose j = 2*r + 4*q, 3*r - q = -2*q. Solve -4 = 2*i - r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*2*sqrt(242)*-3 - ((-2*sqrt(242) - sqrt(242))*2 - ((-1 + sqrt(242))*3 - sqrt(242))))**2.\nAnswer: 1056*sqrt(2) + 61961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n\/n**0*n)**(-22) assuming n is positive.\nAnswer: n**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 4 = 2*h - 8, 0 = h - 4*j + 11. Let g(a) = -6*a**2 - a. Let w be g(1). Let k = 3 + w. Which is smaller: k or h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 b and 1 q when four letters picked without replacement from qqqqqqqbbqbq?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -211 - -372. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -205 = -4*g - h + 6*h, -h = 1. Suppose -479*u = -484*u - g. Let o(c) = 5*c + 8. Give o(u).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27*u - 871*u + 72*u.\nAnswer: -826*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 47 + -23. Suppose 2*y - q = -4*m + 8, -5*m + 25 = 0. Let z(t) = t**3 + 5*t**2 - t - 3. Let b be z(-3). Calculate the greatest common divisor of b and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 8, 0.2, -24?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4.4 - -0.4. What is the closest to 0 in -2\/7, y, 1\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5*(-2)\/(-10)*(-2)\/(-4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-45)\/20*-1)\/(9\/12). Let c = 1 - 0. Does n = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 2*i. Let c(d) = d**2 + 1874*d + 1. What is a(c(f))?\nAnswer: 2*f**2 + 3748*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5.6 - -6. Let k = 4.583 + -1.583. What is the second smallest value in -0.1, k, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1087176 and 132?\nAnswer: 11958936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.143 and 129629.\nAnswer: 129628.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 368 divided by 728?\nAnswer: 46\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - q = 10. Suppose -5*m = q - 15. Suppose -3*k = -1 - m. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 88?  (a) 7.8  (b) 5  (c) -0.37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t + 43 = -143. Let i = 32 - t. Find the second derivative of -i + 2*c**3 + 7*c + 1 - 15*c wrt c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -2\/9, -27, 5, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10539, -27107, -43675, -60243?\nAnswer: -76811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -288, 450, 2474, 6426, 12948, 22682?\n\"Answer: 107*l**3 + l**2 - 14*l - 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xrkxbxrrxrbbdf. What is prob of picking 2 x, 1 b, and 1 d?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1754, 3595, 5448, 7319, 9214?\n\"Answer: f**3 + 1834*f - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 3*d + 27 = 2*d, -2*c = 4*d - 24. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 661049*i**4 + 170*i + 2395 wrt i?\nAnswer: 7932588*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ehh when three letters picked without replacement from {h: 5, e: 3}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-2)\/i**(-2\/3)*(i**(-1\/2))**(1\/3))**(9\/11))**30 assuming i is positive.\nAnswer: i**(-405\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -7, -216, -823, -2026, -4023, -7012, -11191, -16758?\n\"Answer: -33*b**3 - b**2 + 25*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 313063848 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*d**3 + 533*d**4 + 2*d - 533*d**4 + d**5 + d**5 - d**5 - 2*d**5 + (d**2 + 3*d**2 - 2*d**2)*(-5*d**3 + 3 - 3).\nAnswer: -11*d**5 + 2*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, j: 1, p: 5, r: 1, g: 1}. Give prob of sequence mpp.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7 - 5. Suppose 3 = p - f, -4*p = -4*g + 36. Calculate the smallest common multiple of (1\/(21\/(-36)))\/((-9)\/42) and g.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -87\/73546 and -73\/40116.\nAnswer: 441276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 153941 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4\/(-4))\/(1\/(-2)). Suppose z*y - 16 = -2*s, -5*y - 6 = -s + 32. Let r = -30 - -69. Calculate the highest common divisor of s and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 5 - 2)*(-v + v + 2*v) - 5*v + 2*v + 2*v - 4*v + 2*v + 0*v)*(13*v - 63 + 63)*(-2*v**2 - 3 + 3).\nAnswer: 26*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6\/21 - (-3364)\/(-14). What is the common denominator of -89\/2 and 5\/(m\/(-63)) + -2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 10 + 3 = 4*m, 2*f + 5*m - 26 = 0. Suppose -10*i = -f*i. Solve 2*w - 7*w = i for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 65879638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -58334, -58335, -58336?\n\"Answer: -f - 58333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2 + -2 - -537)\/(8\/(-88)). Let z be -4 + 0\/1 + i. Let k = 19556 + z. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 47088 = 1484. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 1 = 4*d. Suppose -3*i + 43 = d. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 595 - -1166. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 + -5. Let i = -13680 - -13675. Sort i, -14, l in descending order.\nAnswer: l, i, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7104?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, u: 1, i: 4}. What is prob of picking 1 u and 1 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -5  (b) -4069  (c) -4  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.02 + -2. Let q = i - 0.42. Let u = q - -0.4. Which is the second smallest value?  (a) u  (b) 3\/4  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -73.2 + 0.2. Let r = -73 - t. Is 132 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eeez when four letters picked without replacement from qeeaqqqeqezaaaaq?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 - 1. Let b = x - -17\/6. Suppose 416*k + 17 = 399*k. What is the third smallest value in 0.3, b, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 23.176 - 23.576. What is the second smallest value in 0.4, -411, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**3 - 34*x**2 + 87*x - 6. Calculate m(31).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the first derivative of 358*r**7\/7 - 19*r**3\/3 - 9*r - 490. Find the third derivative of c(n) wrt n.\nAnswer: 42960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:49 PM and 4:17 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbjv. Give prob of sequence vbb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-44)\/(-10) - (36\/15 + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2.05 - 0.05. Let u = 13393\/2 + -6692. What is the nearest to 1 in u, g, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/9 + ((-171)\/(-81) - 9) + 7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -56.5 - 0.5. Let t = p - -59. What is the second biggest value in -6, t, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2391*v + 2624*v - 488 + 22 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 118\/3 + -39. Let r = 2.9 - 0.1. Let b = r - 7.8. Put o, b, -2 in increasing order.\nAnswer: b, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -212\/377, 6\/5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + f + 5)*(-7*f - 90*f + 37*f).\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f. Let g(a) = 7*a. Let u(l) = g(l) + 5*j(l). Let n(c) = -4*c - 14 - 9*c + 14. Calculate u(n(v)).\nAnswer: -26*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 28463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 10*q**2 - 129*q - 16. What is f(13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -197347497*f**2*r**3 - 7*f - 7295*r**3 - 848*r**2 wrt f?\nAnswer: -394694994*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - u + 6*u + 2*u - 7.\nAnswer: 7*u - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 45 - 39. Let z be (-1)\/(2\/l)*(-7)\/3. Let y(j) = -j**2 + 9*j - 7. What is y(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 11*u**2 - 4*u - 23. Let r be x(-3). What is the first derivative of -117 + 72*b**3 + 110 - b**3 + r wrt b?\nAnswer: 213*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 14*y**4 + 71*y**3 - 34*y**2 - 17*y - 17. Let x(t) = -5*t**4 - 24*t**3 + 11*t**2 + 6*t + 6. Let r(i) = -6*f(i) - 17*x(i). Let r(b) = 0. Calculate b.\nAnswer: 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1773979369 to the power of 1\/4, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (119*x - 367*x - 269*x)*(7*x**3 - 3*x**3 - 5*x**3) + 3*x**4 - x**4 + 0*x**4.\nAnswer: 519*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2\/3, 0.1, -1, 20, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*y - 3*y + 3*y)*(3 - 4 - 5)*(y**3 - 2*y**2 + 2*y**2) to the form w + f*y + g*y**4 + x*y**3 + c*y**2 and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 3*o - 12. Suppose -5*g - o*v + 33 = 0, -4*g + 3*v = -15 - 6. What is the third derivative of 4*i**2 + 2*i**3 - 30*i**g + 40*i**6 - 2*i**3 wrt i?\nAnswer: 1200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 4*o**2 + 1)*(116 - 72 + 203 + 39)*(-4 + 1 + 5).\nAnswer: -2288*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 162 - 41. Let z = c - 61. What is the greatest common divisor of 40 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 0*v - 1 - 4*v + 5*v. Let i(z) = z**2 + 2*z - 6. Let h be (-240)\/(-100)*5\/2. Let s(k) = h*m(k) - i(k). Find the second derivative of s(f) wrt f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1451663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 132 divided by -66.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 2*m**2. Let q(i) = 31*i**2 - 14*i - 130. Let v(y) = -23*y**2 + 10*y + 87. Let g(r) = -5*q(r) - 7*v(r). Give u(g(s)).\nAnswer: 72*s**4 + 984*s**2 + 3362","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 4)*(2 + 1 - 4 + (2 - 7 + 2)*(0 + 0 + 2))*(-1 + 2 - 2)*(0 + 4*d**5 + 0).\nAnswer: -28*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*w + 3 + 4 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -277*o + 285*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (-2)\/(-1) - (3 - -5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -94.7 * 1\nAnswer: -94.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -2 and -122.24061?\nAnswer: 120.24061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -m + m - 2*m + (-1 + 4 - 5)*(-6*m + 4*m + 0*m) - 8 + 4*m + 8.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 13872 and 66708.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3730573 (base 8) in base 14?\nAnswer: 1cab47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 500\/(-2550)*((-6)\/5)\/((-18)\/27)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**(-1\/5)*v)\/(v**1*v))**(-1\/4) assuming v is positive.\nAnswer: v**(1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 10, 5, 2, 724, -2 in descending order.\nAnswer: 724, 10, 5, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*p**2 + 111*p**3 - 100*p**3 - 19*p**2.\nAnswer: 11*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j - t - 37, -3*t - 2*t = -25. Suppose -3*y = -j + 6. Is y != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 + -21. Let u = 0 - w. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3363)\/11210)\/(12\/5).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11087997 by 1.\nAnswer: -11087997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.06 - -0.16. Which is the second smallest value?  (a) -0.1  (b) r  (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -1 - 9\/(36\/(-32)). Suppose p*i - 11*i - 224 = 0. Let g = 115 + i. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 24*l. Let t(s) = -85*s**2 + 40*s**2 + 37*s**2. Determine k(t(x)).\nAnswer: -192*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 42.9 - 43. Let d(q) = -q**3 - 5*q**2 - q - 5. Let v be d(-5). What is the third smallest value in z, 1\/2, v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-6))\/((20\/(-4))\/30).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 192 + -187. Let y(z) = z**3 + 2*z**2 - 3*z + 2. Let i(u) = -3*u**2 + 5*u - u**3 - u**2 - 3 + 0*u**2. Calculate p*y(w) + 3*i(w).\nAnswer: 2*w**3 - 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.3  (b) 0.49  (c) 0.4  (d) 4  (e) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 475619841?\nAnswer: 3, 71, 167, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the first derivative of -6*i**4 - 5*i**3\/3 - 32*i + 12. Let l(d) = d**3 - d**2. Let q(w) = -5*l(w) + y(w). Differentiate q(x) wrt x.\nAnswer: -87*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - (-94 - -177 - 102).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 119\/3 in 5, -2, -0.3, 1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (42 + 5*z - 23 - 27)*(-3 - 3 + 3)*(1 + 1 - 3).\nAnswer: 15*z - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8893451, 2, 6.\nAnswer: 2, 6, 8893451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -11*k**2 + 7*k. Let a(h) = 10*h**2 - 6*h. Let g be ((-1)\/(-7)*12)\/((-464)\/1624). What is g*a(u) - 5*y(u)?\nAnswer: -5*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -37\/54 + 1\/54. Let p = 520\/2367 - -2\/789. Let c = -0.3 + 0.4. What is the nearest to -0.1 in z, c, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 15925 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 873440603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1533, 6138, 13817, 24570, 38397, 55298?\nAnswer: 75273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -4 * -11371861\nAnswer: 45487444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 156 = 1409*d - 1419*d - 88 + 44 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4 + -14 + 52 + -38. Let t(g) = 6*g - 29. What is t(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2549 is divided by 847.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0 - (8\/10)\/1. Let n = 39.4 + -44.4. Let t = -0.066 + 0.366. What is the third smallest value in t, n, 1\/3, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -3*j + 1. Suppose 3*t + 9 = 0, -2*t = -s + 2*s + 13. Calculate z(s).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3288 and 7809?\nAnswer: 62472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a. Let i(n) be the first derivative of 3*n**2 + n - 3. Determine -i(t) + 5*k(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 2 = -16. Let q be h\/(-5)*10\/3. Differentiate -1 + q - a**3 - 2 wrt a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 3, 3\/7, 53.\nAnswer: -3, 3\/7, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**3 + 8*p**2 + 9*p - 4. Let l be c(9). Let q(d) = -d**2 - 4*d - 1. Let g be q(l). Let o be g*2 + (-192)\/(-90). Which is greater: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.71 + -0.29. Let t = 4.5 - 5. Which is the closest to 0?  (a) t  (b) g  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -174 - -179. Suppose -12 = -b*t - 2. Solve -2*d = 5*l + 3, t*d + 2 - 3 = -l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1587 divided by 94?\nAnswer: 1587\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 2*c + c + 3*c. Let y(u) be the third derivative of -u**2 + 1\/30*u**5 + 0*u**3 + 0 + 0*u**4 + 0*u. Calculate a(y(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1213, -1210, -1207, -1204?\n\"Answer: 3*h - 1216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 4329*y + 109. Let o(x) = 3*x. Calculate o(h(k)).\nAnswer: 12987*k + 327","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 451594 (base 10) to base 14\nAnswer: ba80a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 5, e: 3}. Give prob of sequence euue.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 28065430 times 0.3\nAnswer: 8419629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 560652439 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (4 - (9 - -2)) + 15\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(720) - (sqrt(720) + sqrt(720) + -2 + sqrt(720))*-2)**2 - ((3 + sqrt(720))*2)**2)*-5*5 + 1.\nAnswer: -48000*sqrt(5) + 1619001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 544411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -754 - -764. Calculate the highest common divisor of 7010 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = 2*i - 67, 217 - 48 = 5*i + 4*z. Suppose 0 = 3*f + 2*j + 12, 6*j = 4*f + 3*j + i. Let t be f\/(-21) - 376\/336. Do -1 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 303829227 and 1?\nAnswer: 303829226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -93\/88 and -151\/10708902?\nAnswer: 471191688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.1 + 0. Which is the nearest to x?  (a) -0.5  (b) 0.6  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:48 PM and 7:31 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**2 + 9*x + 7. Let f be l(10). Let u(c) = -c - 3. Let h be u(f). Factor 3\/2*o + 1\/2*o**2 + h.\nAnswer: o*(o + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 2*v - 210 = 0. List the prime factors of v.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 8, x: 3}.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 10*124*4\/40. Let k = 513 - 509. Suppose 117 = k*v - 4*p + 17, 4*v + 4*p = d. What is the remainder when v is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 6*k**2. Suppose -w - 4*n + 3 = 0, 2*w + n + 3 = 2. Let z(i) = -1. Let v(h) = -3*h - 6. Let a(y) = w*v(y) + 6*z(y). Calculate j(a(m)).\nAnswer: 54*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 - -4. Suppose w = 5*n + 6. Let j be ((-2)\/9)\/(21\/63). What is the nearest to j in -0.2, 1\/2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*v + 3 - 3 + (6 - 2 - 3)*(-2*v + 4*v - v) + 2*v - v + v + (-33 + 207 - 17)*(2*v - 4*v - 9*v) to the form k*v + d and give k.\nAnswer: -1726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -213*i**3 - 4*i**2 - 15*i + 8. Let l(v) = 425*v**3 + 7*v**2 + 31*v - 14. Determine 7*f(j) + 4*l(j).\nAnswer: 209*j**3 + 19*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1681 times 0.044308\nAnswer: -74.481748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 12*o**2 - 70*o - 1. What is f(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*p**5 + 7910*p**4 + 15810*p**3 - 7910*p**2 - 15812*p = 0. What is p?\nAnswer: -3953, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g + 5 - 5)*(-2 - 4 + 4) + (-3*g + g + 3*g)*(-667 - 764 + 144 + 119).\nAnswer: -1164*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -7769, -31128, -70071, -124598?\n\"Answer: -7792*f**2 + 17*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 404484 and 30?\nAnswer: 2022420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 60, -1, 4 in increasing order.\nAnswer: -1, 0, 4, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**2 - 13*y - 30. Let v be a(15). Let f be (-3)\/(6*(-1)\/4). Determine k, given that 2\/3*k - 2\/3*k**3 + 0*k**f + v = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-6)\/(-4))\/(2\/(17540\/15)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c**2 + 5*c - 20. Let g be s(-7). Let m(a) = a**3 + 7*a**2 + 5*a - 8. Give m(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m + 2\/9*m**3 - 2\/9*m**2 + 0 = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z - 40*z + 43 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 2361933, 4723864, 7085795, 9447726?\n\"Answer: 2361931*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/5, 68, -2\/17, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**2 - 6*d + 2. Let i be g(3). Let h be (-2)\/(-7) - (-2)\/i. Solve -3*n = -2*q - 2*q - 4, h = -3*n - q - 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.292516774 rounded to four dps?\nAnswer: 0.2925","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hxhhxxxhhxhxxhhxhx. What is prob of picking 2 h and 2 x?\nAnswer: 36\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 856*n**2 - n + 265.\nAnswer: 1712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -8 + (50 - 25) + -1*(-2 - -3). Suppose -3*w + 8*w = 0. Solve -2*h - 4*i - u = w, 2*h - 10 = 3*i + 9 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-1*sqrt(187))\/sqrt(11).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -41 or -53221\/1273?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(((u**(-6\/11)\/u)\/u)\/u*u)*u)\/(u\/u**(-4))*(((u\/(u\/u**32*u))\/u)\/u)\/(u**(1\/5)*u))**(1\/45) assuming u is positive.\nAnswer: u**(1504\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 4604, 4629, 4670, 4727, 4800?\n\"Answer: 8*h**2 + h + 4595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/7, 43\/2, -5\/7, 5, -27\/2 in ascending order.\nAnswer: -27\/2, -5\/7, 3\/7, 5, 43\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 222786 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the third derivative of -13*z**8\/336 + 19*z**4\/12 + 42*z**2. Find the second derivative of h(g) wrt g.\nAnswer: -260*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/10 - 8\/(-40). Let k be (-3)\/(-5)*(-3 + 8). Solve m = -k*t + t - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**3 + 34*d**2 - 118*d - 11. Calculate the remainder when o(30) is divided by 37.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -242553083 greater than or equal to -242553085?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((h\/h**(3\/7))**(-3\/29))**15)**(-39))**(-2\/13) assuming h is positive.\nAnswer: h**(-1080\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*d**2 - 140*d**4 + 2*d + 141*d**4 - 3 + 2*d**3 + 2*d**2 to the form r*d**2 + w*d + o*d**4 + v + s*d**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from lddqldqqqddbdlqqqkql?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 9\/(-2430)*-10*-6. Let r = -0.53 + 0.13. Which is the closest to 2\/7?  (a) d  (b) -0.6  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 935471905?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/(-5)*20\/(-4). Solve -u - 12 = -r*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:06 AM and 2:34 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/108 and -89\/11484?\nAnswer: 34452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0\/(-2) + (-21)\/(-1). Let q = g - 12. Suppose -33729*i = -33800*i + 6390. What is the greatest common divisor of q and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 9 = 2*l, 3*n + 3*l = 5*l + 7. Let a = 6 + -4. Is a greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(168)\/sqrt(28))\/(sqrt(120)\/sqrt(90)).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 2*q**2 - 2*q + 4. Let u be s(3). Suppose 3*r - u = -2*y, 3*y - 16 = -4*r + 6. Suppose j = 2*i + 18, 69 = 5*j - y*j - 3*i. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8*t**2 - 3*t**3 + 8*t**6 + 3*t**3 - 3*t**6 wrt t?\nAnswer: 600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -4*v + 62 - 38, -a = -4*v + 24. Let y(o) be the second derivative of 1\/3*o**3 + 2*o**2 + 0 - v*o - 1\/6*o**4. Factor y(p).\nAnswer: -2*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 4*i**3 - 4*i**2 - 12*i + 5. Let b be r(7). Let p = b - 597. Is 30 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*d**2 - d**2 + 2*d**2)*(6*d + d - 5*d) + (3*d - 3*d - d**2)*(45*d - 21*d + 5*d) as s + z*d**2 + j*d + p*d**3 and give p.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-3)*0)\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -117, -237, -357, -477, -597, -717?\n\"Answer: -120*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x = -3*o + 25, -o + 29*x + 23 = 34*x for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 <= -849531047?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.0513 times 1.82644\nAnswer: 0.093696372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 27\/5 of a gram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2500030.9 * -6.\nAnswer: -15000185.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3.4 + 0.6. Let w = -25.59 - -28.59. What is the smallest value in 0.17, w, h?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 276256490.\nAnswer: 2, 5, 27625649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -25776 or -54?\nAnswer: -25776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**2 + 3*a + 27. Let l be h(7). Let x(s) = -19*s + 1. Determine x(l).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 - (-7 + 18) - (8 + -22 - -21)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/48 and 83\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -14881, -29671, -44461?\n\"Answer: -14790*j - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002433 to 4 decimal places.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -3*x**3 - 19*x**2 - 34*x - 65. Calculate d(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -2*b + 43. Let r be z(19). Suppose r*q = 7*q - 30. Suppose 16*g - 1027 = q*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*c - 10*c - 32 - 11*c.\nAnswer: -21*c - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 177939 and 38403.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1467, -1502, -1537, -1572, -1607?\nAnswer: -1642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -661, -1494, -2495, -3670, -5025?\nAnswer: -6566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 91 (base 14) to base 13\nAnswer: 9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 2*a + 3*a = -252, 2*c + 4*a = 114. Calculate the remainder when c is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-231)\/(-99))\/((-2*14\/288)\/(65\/(-52)))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, g: 1, f: 3, w: 8, z: 4}. What is prob of sequence zwf?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 8459235869?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11 - -2. What is the remainder when (3\/(-4))\/(4\/(-336)) is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(128) - 1*sqrt(128))*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1327*o*q**4 + 2*o*q + 590*o - 8*q**5 + 2*q**2 - 9*q wrt q.\nAnswer: -31848*o*q - 480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 216 and 483678?\nAnswer: 1934712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 506430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13 and 1703?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 295 = 2*r + 67, m = -2*r + 240. Calculate the remainder when r is divided by 43.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1264, -4, 30, -1, 0 in descending order.\nAnswer: 30, 0, -1, -4, -1264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 - 47 = -5*w - 3*r, -14 = -4*w - 2*r. Which is smaller: w or 1\/385?\nAnswer: 1\/385","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5849 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02201298155 to 4 dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1121034 by -6.\nAnswer: 186839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -192*u + 3 + 9*u**2 - 2 + 194*u. Suppose 0 = -w + 5*r + 24, 3*w = -0*r + 4*r + 17. Determine n(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-63) - (4096\/504 + -8)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 774270943?\nAnswer: 43, 661, 27241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - -14)\/(84\/(-168)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -103 (base 4) to base 8\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1662.1 + 1665. What is the second biggest value in 2\/7, f, -0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.3 - -0.3. Let o = 3 + -3. What is the closest to o in 0.5, -2\/9, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2767 + 5?\nAnswer: 276c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 1\/4, 1\/9, -190?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(7\/(21\/(-2))). Let j be ((-8)\/4 - x)*5. Suppose -j*y + 10*y = 10. Solve 7*n - 18 = 4*n + q, 0 = y*n + 5*q + 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 99\/(-18) - ((-29 - -10) + 11). Which is the smallest value?  (a) 6  (b) -10  (c) g  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 - -1. Let f be 0 - 7 - (k + -1). Suppose 0 = 3*z + 9, -2*j - 3 = z - 2. Sort 5, j, f in decreasing order.\nAnswer: 5, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 28 - 25. Suppose p - 5*x + 11 = -x, 3*p = i*x - 15. Let n(c) be the second derivative of -c**5\/20 - c**4\/3 - c**3\/2 + 27*c. Give n(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 69*c**3 + 3 - 29*c**3 - 36*c**3 + (3 - 3 + c)*(0 + 0 + 2*c**2) + 2*c**3 + 1 - 1 in the form v + j*c**2 + w*c + i*c**3 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 416001, 831920, 1247839, 1663758, 2079677?\nAnswer: 2495596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + sqrt(1728) + -3)*5)**2 - ((5*sqrt(768) + 3)**2 + -5).\nAnswer: -8880*sqrt(3) + 25221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51877 + 53095 = -42*x for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14*v + 2363*v**2 - 51*v - 2*v**3 - 2363*v**2 to g*v**2 + b + s*v**3 + p*v and give p.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 92, -3, 2 in descending order.\nAnswer: 92, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p + 4 = 2*w, -52*w + 51*w + 3*p + 1 + 1 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -73\/52 and -57\/403.\nAnswer: 1612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n - 14. Let c be y(0). Let b = c + 20. Let u = 0 - 1. Sort -0.5, b, u.\nAnswer: u, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f - x = -6*f + 11, 2*x = 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -69 + 65.7. Let h = 0.7 - b. Put h, -1, 2\/3 in descending order.\nAnswer: h, 2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 641.137 micrometers to centimeters.\nAnswer: 0.0641137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 958474201.\nAnswer: 5791, 165511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 81*t. Let u(h) = 10*h**2. Give u(q(k)).\nAnswer: 65610*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -2272667*q. Let w(d) = 4*d + 2. Give w(c(t)).\nAnswer: -9090668*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 2*p**2 - 3*p. Let i = 15 - 13. Let j be d(i). Is (-11)\/((-1 - j)\/3) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -188447 greater than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 8*f = 80. What is the derivative of -f*s**2 + 5*s - 33 - 5*s + 18 wrt s?\nAnswer: -32*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 16 = 2*p, 0 = p - u - 2. Let t be ((-10)\/4*2)\/(-1). Let w be t\/(-7) - p\/21. Do -2 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82179.83 decades in months?\nAnswer: 9861579.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 636 - 2949. Let x = 3273 + q. What is the hundreds digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 484 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - 5 - (-10 - 1) - -5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 2*l**2)*(-1 + 0 + 2 + (-1 + 9 + 4)*(4 + 2 - 5)).\nAnswer: -26*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10 and 25.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3085 + 3084.9994802. Round s to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -2*m**2 + 4*m. Let g be y(3). Let r be -2*(1 - (-21)\/g). Suppose 289 = 518*f - 391*f - 92. Solve r*j - f = 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -2*k**2 + 88*k + 482. Calculate s(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k\/(k*k**(2\/17)*k)*k**(-2\/25) assuming k is positive.\nAnswer: k**(-509\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 187, 188, 189, 190, 191?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-144)\/12*(10\/4 + -3). Solve 3*t - i*t - 12 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*w**5 - 125*w**4 - 1015*w**3 - 2755*w**2 - 600*w + 4500 = 0. What is w?\nAnswer: -10, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -3\/5, -4, 5, 3785, -215?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17 = -3*t - 26 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 49610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -0.11, -32\/27, 31\/6, 6.\nAnswer: -32\/27, -0.11, 1, 31\/6, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -25*h**5 + 20*h**4 + 80*h**3 - 110*h**2 + 25*h + 10 = 0.\nAnswer: -2, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6344 is divided by 489?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 33310579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l, 1 g, and 1 y when four letters picked without replacement from yylllyllllgyl.\nAnswer: 112\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 108.3 - 108. Sort 2\/27, a, -5, -0.2 in ascending order.\nAnswer: -5, -0.2, 2\/27, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n = -3, 3*n = 2*b + 6*n - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*j - 10 - 58. Let u = j - -19. Suppose 14 = -9*o + 50. Solve -u = -2*l - 5*p + 1, o*p = 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12329 - -14969. Round x to the nearest 10.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/2899 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**3 + v**2 + v - 1. Let z(u) = -17*u**4 - 4*u**3 - 4*u**2 - u + 4. Let x(d) = 4*o(d) + z(d). Find the second derivative of x(t) wrt t.\nAnswer: -204*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -2\/43, 11, -2 in decreasing order.\nAnswer: 11, -2\/43, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the first derivative of 8*r**3\/3 - r**2\/2 + 13. Calculate u(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5798.\nAnswer: 2, 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -20*n**2 - 14*n. Let a(b) = b**2 + b. Let h = 1175 + -1171. Determine h*u(s) + 56*a(s).\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from seeeeseseeesseee. Give prob of picking 1 s and 1 e.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -22\/5*m - 2\/5*m**3 + 2 + 14\/5*m**2 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 - 0.2. Let b = 0.3 + h. Let y = 2369 - 18951\/8. Put b, y, -2 in ascending order.\nAnswer: -2, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 155345441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 16895909651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 18 + 158 = 0. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2292595363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1381716*m*n - 29*m + 2*n + 9045 with respect to n.\nAnswer: -1381716*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16301791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 472, 175, -504, -1715, -3608, -6333, -10040?\nAnswer: -14879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70*z + 300 + 568 = -112 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -67*m + 60*m. Suppose -m + 58 = 9*g. Solve -4*y = -4*p - 3*y - 13, -2*y + g = 2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3943.\nAnswer: 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 m when two letters picked without replacement from mkmkkkkkxxkkkkx?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 2 t when three letters picked without replacement from cgtygttcykncttcnnt.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -18\/29 in 7, 0, -0.2, 2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4 - 1)*((3*i - i - 3*i)*(4*i**2 + 0*i**2 - 2*i**2) + 4*i**3 - 5*i**3 + 2*i**3 - 33*i**3 + 2*i**3 - 43*i**3).\nAnswer: -150*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 33 + 393 = 2*z, -2*m - 3*m = 0. What is the remainder when z is divided by 44?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**3\/4 - 41*u**2\/4 + 255*u\/4 + 297\/4.\nAnswer: (u - 33)*(u - 9)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -205542342 - -32?\nAnswer: -205542310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -5*o**2. Let d = -42 - -47. Suppose 0 = d*p + 25, 2*u + 4*p + 10 = -3*u. Let s(b) = 9*b**2 - 9*b**2 + u*b**2. Determine z(s(a)).\nAnswer: -20*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 97740 by 12.\nAnswer: 8145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5396 is divided by 77?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1502078*b*j**2*z**3 - 2*b*j*z**2 + b*z**2 + 46*b*z + 6217*b + 2*j**2*z**3 - 2*j**2*z - 3*z**3 wrt z?\nAnswer: -9012468*b*j**2 + 12*j**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/2*(-8)\/10*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -39*g**3 - 258*g**2 wrt g.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.03, 11\/2, -0.4, 0, -156?\nAnswer: -156","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -3*v**3 - v**2 + 2*v. Suppose -8 = -y + 2*o, -3*o - 35 + 10 = 5*y. What is a(y)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4751553 + 36?\nAnswer: -4751515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 965864, 1931696, 2897526, 3863348, 4829156?\n\"Answer: -j**3 + 5*j**2 + 965824*j + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-12)\/(-4 + 2)*(-2 - -3). Let y(x) = 3*x**2 + 5. Let r(o) = 17*o**2 + 27. Let a(u) = m*r(u) - 33*y(u). Solve a(j) = 0 for j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, 41, -2\/3, 0, 0.1, 12\/5, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 - 4. Let s be -4*(14\/(-4) + i). Solve c = 2*d + 11, -6 - s = -4*c - d for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbtbtndnbbtbtbbdtbbb. Give prob of picking 3 n and 1 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 11 = -2. Let y be (1 - -38)*(10\/15)\/2. Is m at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89*h - 95*h + 96 = 0. Suppose 556 = h*b - 164. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -12*o + 4. Let x = -12 + 9. Let m be j(x). Let z = 29 - 13. Calculate the highest common divisor of z and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that 3*y**2\/4 - 183*y\/4 - 357 = 0.\nAnswer: -7, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 435 = -5*q - 5*c, -4*q - 491 = -3*c - 766 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 170*r - 174*r - 24 = 0. Let i(d) = -7*d**3 - 6*d**2 - 5*d - 10. Let c(l) = 6*l**3 + 5*l**2 + 4*l + 9. Calculate r*c(h) - 5*i(h).\nAnswer: -h**3 + h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -97*h - 2. Let t(l) = -147*l + 2. Let a(d) = -490*d + 5. Let b(i) = a(i) - 3*t(i). What is -11*b(y) + 6*o(y)?\nAnswer: -43*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 715 divide 191617855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -756684*r**4 + 2421611 wrt r?\nAnswer: -3026736*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8 and 111\/15 + 8\/(-20)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = 5*f - 5*n, 0 = 3*f + 4*n - 1 - 13. Suppose -f*s = -3*s - 837. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of p**2*x**2 + 72*p**2 + 2*p*x**2 + 9*x**2 - 1 wrt x?\nAnswer: 2*p**2*x + 4*p*x + 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 2 = 2*r. Let s = -2 + 1. Let c be 0\/((r\/(-2))\/s). Solve c*b + 2*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 4, h: 2}. Give prob of picking 2 b and 2 h.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 143 divide 37609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 4 = -4*t, 4*x - 2 = -t + 12. Suppose -3*l = 9, 4*c - x*l + 13 + 50 = 0. Is -17 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -196, -3031, -5, 2, -2 in ascending order.\nAnswer: -3031, -196, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -6*(((-6)\/10)\/(96\/30))\/(14553\/(-1764))\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and 1079129.\nAnswer: -2158258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*f - 32 + 22 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 230121 (base 4) to base 12\nAnswer: 1789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*((1 + sqrt(304) + -1)*6*3 + -1))**2*-2 + -1.\nAnswer: -787977 + 1152*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -836479 divided by 301.\nAnswer: -2779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*f**4*t + 7*f**4 + 582*f**3*t - 2*f**2 - f + 1894*t + 21 wrt f.\nAnswer: 48*f*t + 168*f + 3492*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 4.737283mg?\nAnswer: 4737.283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3744 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r\/(r**(3\/7)\/r))*r*r**12*r)**(10\/11))**(-21) assuming r is positive.\nAnswer: r**(-2820\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ljxxxxullx. What is prob of sequence ulxl?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 176 and 836.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 3, x: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -2*d + 2. Let s(o) be the first derivative of -o**2\/2 + o - 46. Determine -3*j(k) + 4*s(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(19) - sqrt(171))*6 + -4 + sqrt(95)\/sqrt(5))*1)**2.\nAnswer: 88*sqrt(19) + 2315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 12461082.8 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (433 - -1) + (-42 - -36). Let n = -372 + r. What is the remainder when n is divided by 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*h**4\/7 + 32*h**3\/7 + 88*h**2\/7 + 96*h\/7 + 36\/7.\nAnswer: 4*(h + 1)**2*(h + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -24?  (a) -11  (b) -52  (c) 3  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1 + -a31aa1?\nAnswer: -a31aa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + j - 21 = 4*j, -2*j + 36 = 2*i. Is (-12 + 2)*(-228)\/i a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 17620008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 32, 75, 200, 449, 864, 1487?\nAnswer: 2360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 16\/623183 or -1?\nAnswer: 16\/623183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 387*c - 385*c - 14 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45461 = g + 3*s - 8319, -5*g = -2*s - 268815. What are the prime factors of g?\nAnswer: 5, 10753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5189088 and 34526.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the second derivative of v**8\/6720 - v**5\/30 - 7*v**4\/12 + 17*v. Let n(q) be the third derivative of b(q). Calculate n(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 325?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 32, 73, 140, 233, 352?\nAnswer: 497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (30 - 6 + 7)*(-11*g + 13 - 13) as c + f*g and give f.\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**3 + i**2 - i + 1. Calculate h(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.027317418 to 4 dps.\nAnswer: -0.0273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -89*i - 1152. Calculate w(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1143 + 2138. Suppose y + 4*y = k. Suppose 0 = -0*u - u + y. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8777.3 - 9333. Let p = 556 + q. Which is bigger: 8 or p?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*w + 2*w - 2*w)*(223*w + 158*w - 211*w)*(1 + 2 - 2) to q + j*w**2 + d*w and give j.\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -12612 - 0.1?\nAnswer: -12612.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*g + 4*g + 55. Let q = g - -27. Calculate the remainder when q is divided by 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((1 - 2 + 0)*(-4*f + f + 2*f) + 3*f - 3*f - 2*f - f + 3*f - 3*f)*(-2*f**2 + 3*f**2 + 2*f**2)*(2 + 0 + 2) to a + q*f + j*f**2 + r*f**3 and give r.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 - v - 37*v**2 + 0*v**4 + 35*v**2 - 4*v**3 + 3*v**3 - v**4 to the form j*v**4 + x*v**3 + q*v + w*v**2 + n and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3377278 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 61*q - 46*q + 125*q + 2236 - 6016 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*t**3 - 67*t**2 - 94*t + 165 = 0. Calculate t.\nAnswer: -15, -11\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sxlxlhhxx. Give prob of picking 1 h and 2 l.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.8?  (a) -2\/7  (b) -1\/8  (c) -106  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -3\/8, 23, 2\/7.\nAnswer: -4, -3\/8, 2\/7, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the third derivative of -h**6\/24 - h**5\/3 - 14*h**2. Factor v(b).\nAnswer: -5*b**2*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.3 - -1.3. Which is the smallest value?  (a) -2  (b) -2\/7  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-7)*((-10)\/(-5))\/6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p - 13613 = -11*g - 13605, -5*p - 4*g - 81 = -g for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a kilometer in meters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.7 or -2\/439?\nAnswer: -2\/439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**3 - 15*k**2 + 10*k + 54. What is v(-13)?\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3 + -2)\/(-10)*-20. Let u = w + 34. Calculate the highest common factor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 2*p**3 - 5*p**2 + 4*p - 3. Let f be r(2). Let t(a) = -10 + f + 3*a + 9. Let v(n) = 3*n. Determine v(t(u)).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -2*o. Suppose 5*f - h + 5*h + 1 = o, 2*f + 6 = -3*h. Suppose w = -f*w + 304. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*j - 3017*j**2 - 12*j - 946 + 944 in the form b*j + v + o*j**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -85585 - -85589. Let c(y) = 3*y + 1. Let q be c(-1). What is the closest to -4 in 1\/5, q, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -140 + 114. Which is smaller: -123\/5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 - -88618631557369.\nAnswer: 88618631557365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j**2 - 10*j - 12. Let k be h(-8). Let f = -1 + k. Let t be (-2432)\/(-1824) - (-2)\/3. Solve -16 = -4*i, f*x - 6*i + t*i = -13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-1))\/(210\/(-21))*-1.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 168\/3*54\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -106350.1*139\nAnswer: -14782663.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 58\/(-396)*-2 + 90\/(-495)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/(45\/(-6)))\/((-110)\/(-33))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 14713, 29728, 44743, 59758?\n\"Answer: 15015*o - 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*s - 8*s + 3*s + 8*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -128266.9985 + 128294. Let d = -25.51 + -1.49. Let z = l + d. What is z rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 3182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5139, 4501, 3863, 3225, 2587, 1949?\nAnswer: 1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 448211 (base 12) to base 3.\nAnswer: 2001111111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 2618611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 742086.9t?\nAnswer: 742086900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 996396200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is t in 6784*t**5\/3 - 609440*t**4 + 40910536*t**3 + 61125838*t**2\/3 + 2478780*t - 12150 = 0?\nAnswer: -1\/4, 1\/212, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9 + 11. Let m = 5 + h. Calculate the highest common divisor of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -118 - -1305. Suppose 8 = 2*n, -2*n - d - 2590 = -5*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-506)\/(-12) + 5\/10. Let r = -43 + j. Let x = -1 + 0. Which is the nearest to 2\/3?  (a) r  (b) x  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -2*b + 12. Let r be j(5). Suppose -5*q = -12 + 2. What is the greatest common factor of q and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 26*n - 4345*n**2 + 2151*n**2 - 4 + n**3 + 2187*n**2 in the form g + p*n**2 + c*n + v*n**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -12*r**2 - 28*r + 136. Determine c(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 443, 430, 429, 440, 463?\nAnswer: 498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -182 - -840. Suppose 3*t - t = f. What is the highest common divisor of 47 and t?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 107 + -92. Suppose -4*d = 5*i + 3, 3*d - 2 = -i + 4. Let a = i - -5. Solve 3*h + a*h = -g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 + -9. Let q = -4 - z. Let n be (-3)\/7 - 0\/(-5). Which is the nearest to q?  (a) -2\/3  (b) n  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 145785 is divided by 74?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 16245*a**3 + 16815*a**2 + 575*a + 5 = 0.\nAnswer: -1, -1\/57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 9754, 38925, 87534, 155575, 243042, 349929, 476230?\n\"Answer: -q**3 + 9725*q**2 + 3*q + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 27 + -47. Let u be (-2)\/(-10) - 12799996\/v. Suppose -3*r = r + u. What is r rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*x**4 - 2301508*x**3 - 44139931462*x**2 + 47084598448*x - 11771303048 = 0.\nAnswer: -38359, 2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.148 - 0.048. Let r = 89.2 + 0.8. Let u = r + -89.99. What is the closest to o in -2\/3, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 17 + 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29570 is divided by 22946.\nAnswer: 6624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes before 11:15 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 82907 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 940816613?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q + 5*x + 93, -4*q + 6*q = -3*x + 121. Calculate the remainder when q is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a + 8. Let k be q(8). Let b(v) = -v**3 + v - 4. Let j be b(k). Let u(g) = -4*g - 1. Let n(t) = 9*t. Let h(p) = -2*n(p) - 5*u(p). What is h(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0 + -1*(1 - 6). Let m(y) = -y**3 - 5*y**2 + 5*y + 5. Let b be m(-5). Let a = b + 22. Solve 3*w + u*d - 9 = 0, w = -2*d - a*d + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 469 is divided by (488\/(-14))\/((-5)\/35)?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7697\/810 + 16\/81. Find the common denominator of o and -63\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d - 48 = -14*d. What is the third derivative of 9*r**3 + 4 - 10 - 5*r**2 + d wrt r?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1620 + -1619. What is the nearest to j in 4, 3, -1\/4, 6\/17?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 5*x + 4. Let f(g) = 5*g + 4. Let p(b) = 4*f(b) - 3*o(b). Let j(a) = 9*a + 7. What is 3*j(y) - 5*p(y)?\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28771*s = z - 28766*s + 38, -3*z + 26 = -5*s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the second derivative of -31*k**4\/12 - k**2 + 31*k. Find the first derivative of x(d) wrt d.\nAnswer: -62*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -54*w. Suppose -56 = 32*n + 40. Let i(a) = 2*a. Let k(p) = n*u(p) - 72*i(p). Let s(y) = -16*y. Determine s(k(d)).\nAnswer: -288*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 61*k + 102 = -8 - 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/11 in 2, -2, 7\/11, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 356 - 397. List the prime factors of 173*(-2)\/4*(m + 35).\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*p - 2 - 3*p + p)*(-3*p**4 + 2 - 2).\nAnswer: -3*p**5 + 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 13735*j**3 + 80*j**2 + 161*j + 11. Let c(r) = -6868*r**3 - 39*r**2 - 80*r - 5. Let l(g) = 5*b(g) + 11*c(g). Find the third derivative of l(u) wrt u.\nAnswer: -41238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(11) + 0)*-4)**2 - (-4 + 2*sqrt(99)).\nAnswer: -6*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 420 and 346640?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 4949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/35)\/((-2046)\/(-4774)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3\/2*x**5 + 0*x - 4*x**4 + 0 - 3\/2*x**3 + 0*x**2 = 0. What is x?\nAnswer: -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:50 PM and 3:34 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((6\/(-27))\/(-2))\/(((-4)\/(-12))\/(152\/(-380))).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13448 = 94*x - 16268 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*h*z**3 - 761*h*z**2 - 10*h*z + 2*z**4 + 29*z**3 wrt z.\nAnswer: 24*h + 48*z + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, 591, 0.1?\nAnswer: 591","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + ((sqrt(102)*-1)\/sqrt(6) - ((sqrt(51)\/sqrt(3) - sqrt(17)) + 5))*-3 + 2)**2.\nAnswer: 96*sqrt(17) + 409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3564*t**2 + 2*t + 30.\nAnswer: -7128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 8\/15 of a minute?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/(-12)*(-12)\/21.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqfqqtffqf. Give prob of sequence qq.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 4*t**2 + 22. Let k be v(8). What is k rounded to the nearest ten?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3142 or 210570\/67?\nAnswer: 3142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 5, -1\/33, 0.4, -0.1, 0.1 in descending order.\nAnswer: 5, 0.4, 0.1, -1\/33, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3.439 - -3.\nAnswer: 6.439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 4 - (-112)\/640*-8.\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 36*g. Let z(i) = 196*i + 91. Let v(k) = 13*k + 6. Let o(y) = -91*v(y) + 6*z(y). What is -4*d(p) - 21*o(p)?\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 102 - 57. Calculate the remainder when j is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 8556233, 0, 0.3 in decreasing order.\nAnswer: 8556233, 2, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (33 - 15 + 5)*(5*t - t + 0*t) + t - 3*t + 3*t - 4*t - 2*t + 5*t + (-2 + 2 + 2)*(0 + 0 + t).\nAnswer: 94*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-1\/6)*o**(-1\/4))\/((o*o\/o**(1\/9)*o*o)\/o*o**(2\/11)) assuming o is positive.\nAnswer: o**(-1381\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 238 = 3*p - q, 5*q + 150 = -4*p + 6*p. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddddxccccdddcccn. What is prob of sequence dcn?\nAnswer: 7\/480","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:10 PM and 4:06 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 3*p**2 + p - 3. Let q be b(3). Suppose -35 = -5*l + 5*w, -5*l + 3*w - 2 = -q. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**3 - 7*w**2 - 5*w + 8. Let b be ((-28)\/(-6))\/(-1)*-3. Let h = 8 - b. Let d be m(h). Solve d*u - 2 = 4*i - 3*i, -5*u = -5*i + 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 175*y**4 + 15936705*y**3 - 1821353*y**2 - 1183869*y + 182134 = 0. Calculate y.\nAnswer: -91067, -2\/7, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(26) + (-1*sqrt(2106) - sqrt(2106))))\/(sqrt(18)\/(sqrt(1089) - sqrt(1089)*-3 - sqrt(1089) - sqrt(9))).\nAnswer: 2176*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1785.447 + -21.108. Let b = -1802 - o. Let m = -0.045 - b. Round m to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -4.025 and 1602502753?\nAnswer: 1602502757.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i*(i*i**0)\/i)\/i*i)**(-7\/5)\/(i**(-5)*i*i**(-3)*i*i) assuming i is positive.\nAnswer: i**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1, 1, 5.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*p**3*q**2*r + 13389946*p**3*r - 7*p**2*q**2*r - 59*p**2 + 4*p*q**2*r - 2338*q*r wrt p?\nAnswer: 12*q**2*r + 80339676*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**2 + 6*f - 5. Let u(k) = 10*k**2 - 54*k + 44. Let x(g) = 52*q(g) + 6*u(g). Factor x(w).\nAnswer: 4*(w - 1)*(2*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 149628550.\nAnswer: 2\/74814275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3456*k**3 - 397*k**2 + 130*k**2 + 137*k**2 + 130*k**2 + 730*k**3.\nAnswer: 4186*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the second derivative of 0*g**2 + 1\/10*g**5 - 1\/63*g**7 - 2*g + 0 - 2\/45*g**6 + 2\/9*g**4 - 4\/9*g**3. Factor f(o).\nAnswer: -2*o*(o - 1)**2*(o + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -c**5\/2 - 349*c**4\/2 - 1879*c**3 - 6784*c**2 - 8112*c = 0.\nAnswer: -338, -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -61210.638 rounded to the nearest one hundred?\nAnswer: -61200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j**3 - 9*j**2 + 8*j + 5. Let r be k(-10). Solve 5*o + 0*o = -r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 32010860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 3) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 201000012011 (base 3) in base 2?\nAnswer: 1011011010101100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 261 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -70 - -268. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10.9 - 11. Sort 5, 1, v in decreasing order.\nAnswer: 5, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eight thirds of a week in hours?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31c6ca (base 13) to base 15.\nAnswer: -1819de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum 4 and 103820.\nAnswer: 103824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*q - 5*q + 4*q)*(16 - 39*q - 16)*(3 - 5 + 4) in the form t*q + n*q**2 + f and give n.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 228\/15 - (-1)\/(-5). Suppose r = 4*r - u. Suppose -2*c - 8 = -5*b, 5*b - 3 - 9 = 3*c. Solve 0*j + j + r = b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20896310 is divided by 2553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, 2\/3, 0.6, 6, 4, 0.3, 70?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 13a (base 13) in base 3?\nAnswer: 22002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3269067 or 3269033?\nAnswer: 3269033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/(-18) + (-218)\/(-9). Let g = -50 + 53. Suppose g*u = -0*u + t. What is the least common multiple of u and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**2 - 12*s - 27. What is the remainder when 186 is divided by y(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0428 * -0.1.\nAnswer: 0.00428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 207*v - 24 = 208*v. Calculate the common denominator of (-2)\/v*-2 + 1372\/(-420) and (1 - -3) + (-326)\/24.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nuuuuxgxuuuuxtugu. Give prob of picking 1 g and 1 u.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 485 is divided by 42?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 44917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -114 = 89*y - 90*y. What is the highest common divisor of y and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-140)\/(-32))\/(-5)*(-930)\/(-1085)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2696*o + 8*j - 488 = -2688*o, -3*o = -4*j + 248 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 960 by -24.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -358, -789, -1260, -1771, -2322?\nAnswer: -2913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/3*24\/(-420).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 4*x + 369. Let i be 1 + 3 + 2 + -6. Let g be c(i). Is 3 a factor of g\/54 + (-1)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -143\/12 and -87\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sum 735 and 8.\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -2*a - 7. Let y be t(-8). Let r(d) = -d**3 + 7*d**2. Let m be r(7). Solve -4*k + 16 = 3*h, m = h - 4*k + y + 7 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/258 and -79\/6.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.46 + 0.06. Let x = 5.9093 - 5.1093. Are l and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 47*x**2 - 78*x**2 + 33*x**2. Let m(a) = 34*a**2. What is m(j(q))?\nAnswer: 136*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2366.5 + -2367.5. What is the closest to 0.3 in -0.1, -92, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the first derivative of -10*n**7\/21 + 4*n**4\/3 - 31*n + 12. Let x(q) be the first derivative of b(q). What is the third derivative of x(a) wrt a?\nAnswer: -1200*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (9 - (0 - (1 + -5))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in -0.5, -0.1279, 49, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 236*c + 13. Is n(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express m - 6*m + 2*m + (2 - 1 - 3)*(4 - 5 + 0)*(-1 - 1 - 2*m + 4) in the form g + u*m and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2002021 + 12?\nAnswer: -2002002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/5  (b) -0.2  (c) -5  (d) -2\/5  (e) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 14 = 1. Suppose z*q = 3*j, -j = q - 1 + 3. Let n be -2*10\/4*7\/35. Which is the nearest to n?  (a) j  (b) 7  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/6*(-10)\/(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(175) + (-1*sqrt(175) + sqrt(175))*1 + sqrt(175))\/sqrt(7))\/(-5*2*sqrt(80)).\nAnswer: -sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**3 + 5*p**2 - 7*p - 3. Let u be i(-6). Differentiate -2*v**3 + 2 + 9*v**4 + 5*v**3 - u*v**3 wrt v.\nAnswer: 36*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 26 + -22. Let f be q\/(-12)*-3*2. Suppose 2*p + o = 4, -5*p + f*o + 11 = 4*o. Solve -15 = p*r - 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 10839847, 43359407, 97558677, 173437657, 270996347, 390234747, 531152857?\n\"Answer: 10839855*q**2 - 5*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -5*j - 45, -2*j - j - 12 = 0. Let p = 0 - -0.2. Let s = 0.09 + -0.09. What is the closest to s in p, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*v + 15*v**2 - 4*v - 13*v**2 + 72 + (-1 - v + 1)*(13*v - 8*v + 8*v) as m + t*v + p*v**2 and give m.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(325) + sqrt(325)*1 + (2*sqrt(325) - sqrt(325))*1 + 3.\nAnswer: -2 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1766, -14014, -47228, -111890, -218482, -377486?\n\"Answer: -1747*f**3 - f**2 - 16*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5714268169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6409 + 6419. Solve 0 = 3*q - 9, -5*q + 3*q + t = r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 8*p. Let z be g(2). Suppose z = d + d. Suppose 0 = 3*n - d*n + 25. Is n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001723940206 to seven dps.\nAnswer: -0.0017239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -135*k + 159427 = 37*k + 160975 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-90)\/(-5) + -11)*((-10)\/7)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11, 11, 17, 29, 47?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence op when two letters picked without replacement from {o: 3, x: 1, a: 1, p: 1, t: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 97*x**2 + 15*x - 191. What is the hundreds digit of i(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) -2  (c) -51  (d) 1\/4  (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 22041411 (base 5) to base 9\nAnswer: 318847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the second derivative of -7\/6*j**4 + 40*j + 2 + 0*j**2 + 0*j**3. Let a(q) be the third derivative of -q**4\/24 - 3*q**2. Calculate p(a(y)).\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -t - 8*a, 15270*a - 15274*a = t - 14 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 492737 and 12341?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 177 - 156. Let i(z) = -10*z - 1. Let u be i(3). Let j = a + u. Which is smaller: j or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-7))\/(-12 - 483\/(-49)) - 1121\/6270\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 - -8. Put -3, 5, f in descending order.\nAnswer: 5, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*p + 8 - 1 - 7 in the form t*p + n and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, l: 2}. Give prob of picking 2 a.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.326522 times 16.16\nAnswer: 5.27659552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**3 - 8*h**2 - 6*h + 10. Let w be g(-7). Solve -x + w = -0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -83, 26, 135, 244, 353, 462?\n\"Answer: 109*d - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -3368.2799071 + 1\nAnswer: -3367.2799071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -20 - -31. Find the first derivative of -10 + l*w - 8*w - 7*w - 7*w wrt w.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 99*m - 1611 - 1359 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2017*d**3 + 4043*d**3 - 2024*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2653?  (a) -17  (b) -0.02  (c) -1\/6  (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 15, 41, 77, 123?\n\"Answer: 5*v**2 + 11*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5\/6?  (a) -0.1  (b) -51  (c) -3  (d) 864\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-4224)\/(-1))\/((-13)\/(-26) - 1). Let n be 6\/(z\/8440) + 6. Which is greater: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes after 3:42 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 3, m: 5, z: 2, f: 3}. What is prob of picking 3 f and 1 m?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 8\/3 of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 6 = 3*q. Let t(d) = 7*d - 14*d + q*d - 2. Let j be t(-7). Solve -12 - 8 = 4*a - 4*f, 4*f - 22 = j*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2244 (base 10) in base 15?\nAnswer: 9e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 - 0. Suppose -7*s + 8 + 20 = f. Suppose 25 = s*m + 13. Solve -2*g - 2*t - 2*t - 12 = 0, t - 4 = m*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*j + j - 45*t - 189 - 858, j + 5*t = -112 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**3 + 5*m**2 - 29*m - 105.\nAnswer: (m - 5)*(m + 3)*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-1 + sqrt(13) - sqrt(13))**2 + (1*sqrt(78))\/sqrt(6) - ((1*sqrt(1872) + sqrt(1872))*-5*-1)**2.\nAnswer: -187202 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**2 + 15*n + 36. Let g be o(17). Let p(c) = -c**3 - 6*c**2 + 2*c**2 + 5*c**3 + 3*c. Let f be p(g). What is the highest common factor of f and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*x**2 + 21*x**2 - 3*x**2.\nAnswer: 30*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -694, -2736, -6116, -10834, -16890, -24284?\nAnswer: -33016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 5, 1338, 2 in decreasing order.\nAnswer: 1338, 5, 2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 4 - 3 + 4 + 2 - 3 + (-3 - 2 + 3)*(-2 + 4 - 4) - 1 - 1 + 0)*(-f + 4 - 4).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*u = -6*u + 61 + 23 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -4*f - 4 - f + f. Let l(a) = 9*a - 1. Let u(i) = 17*i - 1. Let o(b) = 7*l(b) - 4*u(b). Let q(v) = 5*o(v) - 6*w(v). Give q(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*r + 64*r**3 - 104*r**3 - 6*r**2 + 20*r + 2*r wrt r?\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**3 + 47*d**2 - 48*d + 40. Let z be p(-48). What is the first derivative of -z*a**4 - 12*a - 55*a**4 + 148 - 16*a + 28*a wrt a?\nAnswer: -380*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 77661.5 + -3.\nAnswer: 77658.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -136, 1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(3\/7)*x*x)\/x*x**(-1\/8)*x\/((x**(-6)*x)\/x)*x**(5\/3)*x assuming x is positive.\nAnswer: x**(1843\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 157.9327794424 - -3574.0672169446. Let d = r - 3732. What is d rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 26268242 and 3003?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuuuuululqjqu. What is prob of sequence ujl?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 22*s - 1694 = 0, -186*v + 189*v - 3*s - 1146 = 0. Suppose -3*p + a = -p - 66, 5*a + 126 = 4*p. What is the greatest common factor of p and v?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 divided by -140532?\nAnswer: -2\/35133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 296130841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -31 + -10023233311?\nAnswer: -10023300002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -563*b + 562*b = 0. Solve b = -2*a + 4 - 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g - 60 = -75 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 - 9a?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 117012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 9*k**3 + k**2 - 5*k - 7. Let j(v) = -5*v**3 + 3*v + 4. What is 5*j(t) + 3*o(t)?\nAnswer: 2*t**3 + 3*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -408288*r - 1224862. Determine b(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*m**4 - 1329*m**3 + 2*m**2 + 729*m wrt m.\nAnswer: 48*m - 7974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 209654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 18341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 8\/2051 and -137\/3516.\nAnswer: 24612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/s**(1\/4))\/s**9)**13)**37 assuming s is positive.\nAnswer: s**(-15873\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 y when two letters picked without replacement from oyldcldp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -16 - -16.11. Let i = -9.1 + 8.6. Let j = -7 + 5. Sort j, i, m.\nAnswer: j, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5306111 is divided by 441?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a\/a**(17\/4)))\/a)**(2\/13)*((a*a\/(a*a**(-21\/4))*a*a*a)\/a*a*a)\/((a**22\/a)\/a) assuming a is positive.\nAnswer: a**(-37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7188?\nAnswer: 2, 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.1419 - -3.8581. Which is the third biggest value?  (a) 0.2  (b) g  (c) -3  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -65 - 6*n - 100 - 79 - 77 - 82 + 401.\nAnswer: -6*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 15\/((-84)\/98*14\/(-4)). Is 2\/y - ((-5416)\/10 + 2) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -96 + 96. Let s be (j - 1)\/(((-4)\/4)\/(-14)). What are the prime factors of (3\/9*s)\/((-6)\/135)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30633336647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -29840 divided by -1788\nAnswer: 7460\/447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8144?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 3*y**3 - 17*y**2 + 29*y - 37. Let f(u) = -u**3 + 8*u**2 - 14*u + 18. Let k(d) = -2*b(d) - 5*f(d). Is k(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2230271 + 3?\nAnswer: 2230274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes after 6:37 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4a0 (base 12) to base 10.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the first derivative of t**3\/3 + 9*t - 3. Let a(j) = -11*j**3 - 4*j**2 - 3*j - 4. Let o be a(-2). Let q = o - 74. Give h(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 + 9. Let l be 3 - (0\/2 - 1). Suppose 2*x - 299 = c*v, -v + l = 3. What is the greatest common divisor of 19 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*x**2 - x**3 + 2 - 4*x**3 + 8*x**2 + 9*x**3 in the form g*x + o*x**3 + j + f*x**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-2))\/((-2)\/232)*100*198\/(-39600).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -2*v**2 - v + 6. Let y(w) = w**2 + 9*w + 4. Let z be y(-8). Let i(h) = h - 1. Let s(k) = z*i(k) - c(k). Suppose -1 = -3*b + 8. Determine s(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5554?\nAnswer: 2, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 45 = 5*z, -3*y = 5*z - 16 - 13. Calculate the highest common divisor of z and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1143 + -1142. Solve -7*d + 2*d = n + 1, 0 = n - 4*d + g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 5081159, 10162319, 15243479?\n\"Answer: 5081160*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 2 + -2*(sqrt(2700) + -1) + 1)**2.\nAnswer: -1080*sqrt(3) + 10881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 293530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 601 or 600?\nAnswer: 601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -42164000 to the nearest 1000000.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-12)\/8)\/((-36)\/(-16) - 3). Suppose 2*c = -1 - 7. Sort y, 4, c in decreasing order.\nAnswer: 4, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -5*(-1)\/((-15)\/(-12)). Let n(o) = o**3 - 3*o**2 - 2*o. Let d be n(p). What is the second derivative of g**3 - g**3 - g + 7*g - d*g**4 wrt g?\nAnswer: -96*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p - 37 + 13. Suppose 0 = -d - p*d. Which is smaller: -11\/5 or d?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 795*z**3 + 1615*z**2 + 450*z.\nAnswer: 5*z*(3*z + 1)*(53*z + 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00220928666 to 5 decimal places.\nAnswer: 0.00221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0, -11 in increasing order.\nAnswer: -11, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2665113 or 2665106?\nAnswer: 2665113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*p = -61*p + 16. Determine o so that 4\/3*o - p + 2\/3*o**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) 2\/5  (c) -411  (d) -4  (e) -29  (f) 3  (g) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**2 + 8*g + 4. Let o(l) be the first derivative of 3*l**3 + l**2 - 5. Let c be o(-1). Is 5 a factor of s(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.956 - -26.956. Sort -0.5, 0.2, k in decreasing order.\nAnswer: k, 0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -581*a*f*g*w + 7404*a*g**3*w**2 - f*g**2*w**2 + 197*f*g*w - 3*f*w - 181*g**3*w with respect to a.\nAnswer: -581*f*g*w + 7404*g**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What is (9009\/(-36))\/13 - 34\/(-136)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 11 = 5*k. Calculate the remainder when 21 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 816532.\nAnswer: 2, 204133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 divided by -310391?\nAnswer: -51\/310391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((p*p\/(p*p*p*p**(1\/22)))\/p*p)\/(p**(-9\/4)\/p))**(-1\/20))**34 assuming p is positive.\nAnswer: p**(-1649\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (3*-4)\/(((-50)\/(-5))\/(-1))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 201092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/2574 and 83\/11466.\nAnswer: 126126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2249?\nAnswer: 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 4*m, x - 2*m - 4 = 6. Suppose x = 4*s - 43 - 5. Calculate the remainder when s is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12, -63, -172, -357, -636, -1027, -1548?\nAnswer: -2217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -13*c + 7 + 5 - 2 - 3. Let t(r) = 7*r - 4. Let l(o) = 4*s(o) + 7*t(o). Suppose 2*b = -f, 3*b - 2 = b - 2*f. Give l(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4731578?\nAnswer: 2, 2365789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**2\/5 - 318771*u\/5 + 39573732\/5.\nAnswer: -3*(u - 124)*(u + 106381)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-3 - (-45894)\/3) + 16?\nAnswer: 61, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**2 - z + 19. Calculate the remainder when 92 is divided by m(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(15*2)*2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.16 + -11.86. Let j = -10 - t. Which is the closest to 0.1?  (a) 2\/9  (b) j  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 7, w: 7}. What is prob of sequence ew?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 + 5. Let d be 46 - g - (-1 + 1). Let k be 10\/d + (-8)\/(-126). Which is the smallest value?  (a) 2  (b) 0.1  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2773 by -2.\nAnswer: -2773\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:24 PM and 1:08 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**3 + c**2 + 3. Let q be p(0). Solve m = 2*m - q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -55 in 2\/7, -345, -1\/2, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - 8*j - 21 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 divided by 9?\nAnswer: 53\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 275 + 106. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 21277940.0999958 + -21277938. Let t = -2.056 + -0.044. Let x = s + t. Round x to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 826 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: What is the square root of 1582 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -687415 or -687413?\nAnswer: -687415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = 3*g - 6. Suppose -o - 15 = -g*o. Let b = -2389 - -2392. Solve -4*c = 2*d - 16, b*c - 2 = o*d + 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 150\/(-124) + 13\/26. Let l = c - 949\/279. What is the common denominator of 2 - 70\/(-46) - 2 and l?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -31, 37, 1, 5, 147 in descending order.\nAnswer: 147, 37, 5, 1, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 35  (b) -19.63  (c) -1\/2  (d) 4  (e) -1.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 68 - 48. Let i = q + -9. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 14 - -133220?\nAnswer: 133234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**3 + 4*r**2 + 3*r. Give s(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**3 + 86*g**2 + 445*g - 2841. What is h(-80)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/6, 42, -3, -4\/3, 0.69 in decreasing order.\nAnswer: 42, 0.69, 1\/6, -4\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -185739 divided by -705\nAnswer: 61913\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-42)\/(-231))\/(22\/(-1331)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8*k**3 + 10*k**2 - 10*k**2 + (5*k**2 + 0*k**2 - 4*k**2)*(-k + k - 2*k) + 2*k - 2*k + k**3.\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that 2*c**2\/9 + 3906*c - 246176\/9 = 0.\nAnswer: -17584, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.5 - -1.76. Let f = -0.24 - h. Which is the second smallest value?  (a) f  (b) -1\/3  (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -6 + -20?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 - 19 = -4*t - 4*m, 5*t - 5 = 2*m. Suppose 0 = t*y - 4*c, y - 2*y - 16 = 4*c. Does 9 divide (1 - 88\/y) + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5402 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -7  (b) 1\/3  (c) 0.1  (d) -0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*x - 3*c + 2 = -4*x + 8, -5*x = -2*c + 31 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/26 + 3 + (-212)\/26.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9 - 3. Suppose -7 = 5*o + 5*m - 67, 3*m = o - 12. Let d be o\/(-9)*z\/4. Solve 3*f = -2*q + 5, -5*q + d = -4*f - 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**2 + 18*p + 74. Let t be m(-12). Solve 2*j + 3*f = -t*f + 19, 0 = 4*f - 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 13961 or 12118?\nAnswer: 12118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z - 9*v + 10 = -8*v, 0 = -4*z - 2*v - 28 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v + 2. Let r(f) = -f - 1. Determine -q(u) - 2*r(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -j**5 + 4*j**5 - j**5 + 0*j**5 + 0*j**5 + 2*j**5 + (0 + 0 + 1)*(3*j**5 - j**5 - j**5).\nAnswer: 5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**3 + l**2 + l + 1. Let r be g(-1). Suppose 1 = r*a - 29. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/2*(-840)\/(-5670)*(-2)\/18.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 20 and 716?\nAnswer: 3580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -965736.93 to the nearest 1000.\nAnswer: -966000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 358 divided by -6.\nAnswer: -179\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, b: 4, d: 10}. What is prob of sequence id?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 75*n - 53922 + 50247 = 0 for n.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -4*i**2 - 7*i + 3. Let w(n) = 3*n**2 + 5*n - 2. Let v(x) = 2*a(x) + 3*w(x). Let s(f) = f**3 - f**2 - 1. What is s(g) + v(g)?\nAnswer: g**3 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.74706 to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*o + 0*o - o)*(12 - 14 + 320 + 30) in the form l*o + m and give l.\nAnswer: 696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 28 + 26 - 56 + 17*k. Let g(b) = 25*b - 3. Let q(u) = -7*c(u) + 5*g(u). Let v = -2 + -1. Let t(w) = 11*w - 1. Determine v*t(p) + 5*q(p).\nAnswer: -3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 37, -5, 6, 356, 0 in descending order.\nAnswer: 356, 37, 6, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 - -11843728?\nAnswer: 11843725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1a27 (base 11) to base 5.\nAnswer: 40240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 603 and 6.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1724731.8 and 0.3?\nAnswer: 517419.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -136.9 times -12483\nAnswer: 1708922.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 246 minutes before 4:59 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 10*d**3*w*z**3 + 8*d**3*z - d**3 - 6*d*z**3 + 15*w*z**3 wrt w?\nAnswer: 10*d**3*z**3 + 15*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-36))\/(3170\/1902)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -878, -1754, -2630, -3506?\nAnswer: -4382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 80 + -140489539\nAnswer: -140489459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -15 + 6. Let a = 7 - o. Calculate the highest common divisor of a and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 16 + 2 = 0. Let v be -2*2 - 117\/d. Solve -4*a + v = -3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/((-12)\/9) + 7\/18?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2*(2 + -1)*150\/60. Let p(g) = -16*g**3 - 7. Let s(q) be the first derivative of 11*q**4\/4 + 5*q - 11. Calculate z*p(r) - 7*s(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-4)\/(-14))\/(6\/42). Suppose -2*v - r*g + 120 = 0, 2*g - 300 = -5*v - 2*g. Suppose 295 = 5*w + v. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 - 2.5. Let r = 2841 - 2436.9. Let i = r - 404. What is the nearest to 0.04 in w, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -412 = -312*k - 1149 - 6751 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-2\/5))**(-41)\/(j*j**(-1\/3)*j*j**(-3\/8)\/j*j*j*j))\/((j*j\/((j\/j**6*j)\/j)*j*j)\/(j\/j**(-3))*j\/j**(-6\/7)*j**(-1\/8)) assuming j is positive.\nAnswer: j**(1339\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**2 + 3*u + 17. Let f be d(8). Suppose 2*t + 3*i + 5 = 26, 5*t - f = 3*i. Suppose q + 0 - t = 0. Calculate the remainder when 71 is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6.23 - 6.23. Let j = 4.1 - 3.9. What is the closest to j in 4, q, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 6*t**3 + 5*t + 6*t**3 + 2*t**4 + 0*t**4 as o + x*t + f*t**4 + w*t**2 + n*t**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 2*g + 2*g - 14, -25 = -5*u - 2*g. Let z(h) = -h**3 + 3*h**2 + 2*h - 2. Let l be z(u). Solve 5*j = f - 1, -2*f - l*j + 2 = -0*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 892*r - 111 = 4349 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**2 - 5*d + 10. Suppose -2 - 26 = 4*t. Let g be o(t). Calculate the smallest common multiple of 6 and 18\/g*(-20)\/15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 312*-26.84.\nAnswer: -8374.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5464 - 1936*y - 5464)*(-4*y**3 + 6 - 6).\nAnswer: 7744*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 51893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 17 divided by -1383\nAnswer: -17\/1383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**3 - 17*h**2 + 50*h + 13. Let d be n(14). Suppose 20*o = 25*o - d. What is the lowest common multiple of 55 and o?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 27 + -24. Which is the second biggest value?  (a) -4  (b) 2\/11  (c) i  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 1 + -2 + 1 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32\/16*14\/(-210).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 364386980, 364386981, 364386982, 364386983, 364386984?\nAnswer: 364386985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that z**4\/12 - 33*z**3\/4 - 503*z**2\/6 + 308*z - 216 = 0.\nAnswer: -12, 1, 2, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 2\/13, -27 in ascending order.\nAnswer: -27, 2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 + 2. Let g = m + -5. Let j = -10.8 + 11. Which is bigger: g or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**4 - 4*c**2 + 9*c**3 + c**2 - 9*c**4 + 3*c**5 - c**4.\nAnswer: 3*c**2*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(3*sqrt(19) + 5 + 1*sqrt(19)*-1 + -1))**2.\nAnswer: 256*sqrt(19) + 1472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -4.0745*28\nAnswer: -114.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-364)\/(-6))\/((-90)\/(-75)). Let v = 105353\/6 + -17613. Let t = o + v. Calculate the common denominator of 75\/22 and t.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 7*y**3 - 4*y**2 + y + 2. Let j(d) = d**2 - d - 1. Give 2*j(s) + u(s).\nAnswer: 7*s**3 - 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 7 = -4*k, s = 2*s - 5*k + 8. Let i(u) = -u + 4*u - 148 + u**2 + 150. What are the prime factors of i(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -101*c**2. Let h(q) = 13*q**2 + 6. Give h(o(p)).\nAnswer: 132613*p**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 52\/8 + (-4)\/(-8). Let y = -4 + v. Let i be 3\/y*-1*-300000. Round i to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -115*j**6 - j**3 + 10*j**2 + 7*j.\nAnswer: -13800*j**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**2\/3 + 143120*p - 6870272\/3.\nAnswer: 2*(p - 16)*(p + 214696)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -107*c + 7718. Let n be u(72). Solve 6 = n*y - 9*y + 2*k, -y + 10*k + 22 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -31.67 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the second derivative of -217\/6*z**3 + 0*z**4 - 37\/14*z**7 + 51*z + 0*z**6 + 0 + 0*z**2 + 0*z**5. What is the second derivative of j(n) wrt n?\nAnswer: -2220*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(960)*6 - sqrt(960) - (sqrt(960) + (sqrt(960) - (sqrt(960)*-2 + sqrt(960))))*2)\/(sqrt(80) - 2*sqrt(80)*-1 - 2*-2*sqrt(80)).\nAnswer: -2*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**3 - 5*o**2 + 2*o - 6. Let r be a(5). Solve 0 = 2*c - r, -3*d - 3*c = -0*d + 6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 71 and 355.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert d1c (base 16) to base 5.\nAnswer: 101411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o + 13*o - 10965 + 10946. Let l be k(5). Which is greater: l or 50?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1638084874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fffffffoffffffoffff. What is prob of sequence offo?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 531 or -1.498?\nAnswer: -1.498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 75596\/45 - 1680. Let x(c) = c**2 - 4*c + 22. Let u be x(0). Let q be -3 - 11\/u*(-9 - -1). Are q and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -56 + 41. Let v be (-3)\/2*10\/o*-3. Is v < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**4\/7 + 32*p**3\/7 - 144*p**2\/7 + 256*p\/7 - 160\/7.\nAnswer: -2*(p - 10)*(p - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -423*i + 20361 = 183*i + 11*i for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/8*(-40)\/(-60)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -291 + 292. Let k = 8 - 10. Put h, 13, 0, k in decreasing order.\nAnswer: 13, h, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -173\/252 and 125\/42462?\nAnswer: 84924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**3 - 7*m**2 + 7*m. What is the least common multiple of 40 and a(6)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7894596?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000918288 rounded to six dps?\nAnswer: -0.000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 2*n. Let w be c(2). Suppose -2*b - 2*b + w = 0. What are the prime factors of (14 + -3)\/(0 + b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -63\/10354 and 79\/4?\nAnswer: 20708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 1465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from otoxtgttstuottst. Give prob of sequence sxug.\nAnswer: 1\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 43 - 43. What is the nearest to -2\/11 in -0.3, -0.1, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -4*c**2 + c - 2. Let h(s) = 7*s**2 - 2*s + 4. Determine -3*h(n) - 5*x(n).\nAnswer: -n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20, -4, 7, 209, -43, -6, -2.\nAnswer: -43, -6, -4, -2, 7, 20, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the first derivative of 17*g**2\/2 + 113*g + 66. Let s be p(11). What is the greatest common factor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -578*g + 127*g = -15785. Solve -g*b - 48 = -11*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 148*u + 1462 + 9638 = 0 for u.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 90466 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand l - l + l**2 + (-l - 1 + 1)*(4*l - l - 4*l) + 14*l**2 - 22*l**2 - 28*l**2 - 3*l**2 + 2*l**2 + 2*l**2 + (-3*l**2 + 5*l**2 + 0*l**2)*(0 + 5 - 3).\nAnswer: -29*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 9\/(-15) + 258\/30. Solve -z*m + 3*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -126 divided by -2\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 28234, 27897, 27010, 25297, 22482, 18289, 12442?\n\"Answer: -46*a**3 + a**2 - 18*a + 28297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**3 + 13*x**2 + 25*x - 15. Give p(-11).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 411 - ((-2)\/(-3))\/((-9)\/(-54)). Suppose f - a = -g, g - 407 = -f - 2*g. Suppose w = 5*p + 217, 4*w - 5*p + f - 1230 = 0. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 2*t - 3*b, 2*t - 4*b + 5*b - 19 = 0. What is the highest common divisor of 72 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 - 10 - ((1 - -3) + -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -17.52466 to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 693*n - 280 = 337*n + 321*n. Calculate the remainder when 258 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -88*i - 2 + 29*i - 23*i + 25*i + 0 in the form t*i + a and give t.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1173 is divided by ((-56)\/2)\/(2\/(-6) - (-238)\/(-357)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from jtaotaa.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**2 - 1. Let n(b) = 88*b + 27. Let o(u) = -4510*u - 1386. Let i(t) = -154*n(t) - 3*o(t). Calculate i(k(q)).\nAnswer: -22*q**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 + -3. Let b(i) = i**2 - 4*i + 1. Let f be b(4). Let o(d) = f - d - 3 + z. Let p(r) = r**2. Calculate p(o(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -9, -10, -17, -36, -73, -134, -225, -352?\n\"Answer: -u**3 + 3*u**2 - 3*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-29851 - -12)*(-6)\/(-30)*-5.\nAnswer: 53, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14075?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l = -3*r + 3, 328*l - 319*l - 2*r = -37 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*q**4*x + 8*q**4 + 2*q**3*x**2 + 2*q**2*x**2 + 4*x**2 + 35*x wrt q?\nAnswer: -120*q*x + 192*q + 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2222*g - 2229*g + 35 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 3*i + 12 = -4*w, -i = -5*w - 22. Let h(t) = -3*t**2 - 9*t + 13. Let n be h(-4). Is ((i - 0)*n)\/((-4)\/(-2342)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 5*r = -14, 0 = -4*k + 2*r - 3*r - 1. Let q be k\/2 - 1\/(-2). Let a = -39 + 350\/9. What is the closest to q in a, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3\/(-1) + -4 + 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 2 = -4*q - 0, -n = -2*q - 14. Suppose -n = -5*r + 10. Solve 2*o + 2 = -r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -1045391485058*f**2 + 40486712*f - 392 = 0?\nAnswer: 14\/722977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let -66\/5*w**4 + 1029\/5*w + 0 + 504\/5*w**3 + 3\/5*w**5 - 294*w**2 = 0. Calculate w.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-8)*a**20*a*a)\/(a*a**(-21)*a*a**(-9\/8)) assuming a is positive.\nAnswer: a**(273\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x and 2 t when four letters picked without replacement from xtttttxtxtxtxxtxxxxt.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -618.9 - -620.9. Which is the second smallest value?  (a) -39  (b) n  (c) -0.33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 3 - 9 = 0. Find the second derivative of 2*d + 0*d**2 + 0*d**2 - d**3 + 0*d**c wrt d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*v**4\/4 + 122695*v**3\/2 + 2699895*v**2\/4.\nAnswer: -5*v**2*(v - 49089)*(v + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6470, -25882, -58234, -103526?\nAnswer: -161758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 4*t - 7 = 10, 4*t = 4. Let x(i) = -2*i**2 - 48*i - 11. What is the hundreds digit of x(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**4 + u**3 - u**2 + u. Let y(d) = 10*d**4 - 4*d**3 + 4*d**2 - 4*d - 10. Let w(j) = -4*a(j) - y(j). Differentiate w(k) with respect to k.\nAnswer: -24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 15*f**4 + 770605*f**3 + 178686250*f**2 + 10441081120*f + 6881532960 = 0. Calculate f.\nAnswer: -51141, -116, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -5*z + 45. Let g(k) = k**3 - 5*k**2 - 5*k - 1. Is 2 a factor of g(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 3451*w**3 - w - 3447*w**3 + w**2 + w - 8*w**4 to the form s*w**3 + v*w + j + i*w**4 + r*w**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -116, -228, -342, -458, -576?\n\"Answer: -x**2 - 109*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3144\/11 - 286. Let c = -1\/11 - k. Which is bigger: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 3*j - 5. Suppose 3*g - 35 = -y - 12, -2*y + 36 = 4*g. Suppose 269 = -y*m + 213. What is f(m)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, 0.3, -279280?\nAnswer: -279280","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + 1 + sqrt(125) + -4 + (sqrt(125) + 0)*-5 + 0)*-6)**2.\nAnswer: 72000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the second derivative of -o**7\/42 - 29*o**6 - o**5\/10 + 5*o**4\/6 - 169*o**3\/2 - 10847*o. What is the third derivative of g(r) wrt r?\nAnswer: -60*r**2 - 20880*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*b - 30*b + 4 + 39*b - 4.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -104122324323 + -3?\nAnswer: -104122324331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6359426 is divided by 106?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -5*y + 16, 0*y + 2*s = -3*y + 16. Suppose -4*j - 11 = -2*n - n, 3*n = j - y. Which is the second smallest value?  (a) 2\/15  (b) -5  (c) 3  (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 310 = 3*a - 5*m, 0 = a - 5*m - 50. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 1073*r**2 + 4*r - 1. Let b(f) = -8*f**2 - 2*f - 1. Let z(t) = -b(t) - l(t). Find the second derivative of z(a) wrt a.\nAnswer: -2130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 180 and 72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1712 and 49106152.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2231224 - -2?\nAnswer: 2231231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 1326\/8 + (-3)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.177, -42, -5\/17 in ascending order.\nAnswer: -42, -5\/17, 0.177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -2.4  (b) -2\/9  (c) -4  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 107*a**2 + 6*a**3 - 95*a**2 + 85*a**2 - 2*a - 150*a**2 to y + n*a**3 + j*a**2 + s*a and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 203 = 15*h - 6 + 14 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -56 divided by -6.\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 57181639?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 5*q**2 + 11*q + 3. Let a(r) = r**2. Let c(n) = -4*a(n) + b(n). Let j be c(-12). Suppose -4*g - 12 = o, 0*o = -o + 5*g + j. Solve 3*i - 4*i = o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-5)\/2*12\/10. Let x(d) = -d**2 - 3*d + 4. Let r be x(y). Is 5 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.5138 - 10.5138. Let p = 1 + 1. Which is the third smallest value?  (a) -2  (b) -0.4  (c) y  (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1041 + 1044. Let d(j) = -7*j - 3 - 3 + 10*j + 2. Give d(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1140410621 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 5761 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -1618?\nAnswer: -1618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = -9*x + x. Suppose -3*m + 2*m = 3*w - 18, -2*m = x. Find the second derivative of -6*l**3 + 8*l - 3*l + w*l**3 wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -85*k**3 - 25*k - 143*k**3 + 17*k**3 + k**2 - 140*k**3 wrt k?\nAnswer: -2106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6 or 285867?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7554 is divided by 245.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 + 1)\/(3 - 5). Suppose -5*r - 5*t + 85 = m, r + 0*t - t - 23 = 0. What is the tens digit of -3 + 4 + r*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**2 - 3*p - 3. Suppose -2*v + 6 = -0*v. Let x(r) be the first derivative of 2*r**3\/3 + r**2 + 2*r - 9. Give v*x(d) + 2*s(d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 759, 4\/7, -5, 21, -1 in descending order.\nAnswer: 759, 21, 4\/7, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m - a - 0 + 52, -11*m = -3*a - 143. Solve -112 = -m*o - 15*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -52, 78840, -3, -2 in increasing order.\nAnswer: -52, -3, -2, 5, 78840","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*p - 108 = -324. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-1*sqrt(204))\/(sqrt(12) + (sqrt(12) - -6*sqrt(24)\/sqrt(2))).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 103 + -63. Suppose 3*t + 0*t - 285 = -5*l, t + 185 = 3*l. Let a = l - p. Calculate the highest common divisor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.1 + -0.1. Let q = 0.6 - 0. Let x = 0.8 - q. What is the closest to a in -3\/8, x, 1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a minute in milliseconds?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6)\/(-1) - (-1 - -2). Suppose -3*c - c + j = -19, -m*j - 15 = 0. Solve -2*d = v - 11, -d = -3*v - c + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the second derivative of r**3\/3 - 5*r**2\/2 - 9*r. Give p(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(931)*-6 - -6*-1*sqrt(931))**2.\nAnswer: 33516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 11, 22, -5 in increasing order.\nAnswer: -5, 11, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/3, 50\/31, 4?\nAnswer: 50\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -31251449.5 rounded to the nearest 10000?\nAnswer: -31250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**3 + 8*i**2 - 18*i + 22. Let p be a(-10). Solve 4*k = 2*k - p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -25\/33 and -10\/329901.\nAnswer: 329901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 29, 3, -37, -97, -183?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -29 + 8 + 11 + (118 - 79).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 19 - -2. What is the smallest common multiple of 5 and a?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f + 6 + 2 = -5*y, 0 = 4*y + 5*f + 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -56824794 * -2.\nAnswer: 113649588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**2 + 15*p + 54. Let k be l(18). Solve 219*h - 214*h + 25 = k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 351233 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 17 = -4*f + y, f = 5*y - 20. Let d(q) = -15*q + 16. What is the tens digit of d(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**3 - 9*f**2 - 9*f - 15. Is k(-10) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 325114.\nAnswer: 2, 162557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + -1 - (-63 - -45 - (-10 + 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i + 24*i = 0. Suppose i = -5*d + 4*w + 80, 3*d - 4*w = 50 - 2. What is the remainder when 25 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*a - 14355 = -39*a. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**3 + 9*c**2 - 2*c - 14. Let s be v(4). Suppose -54*k - 1416 = -s*k. Is 31 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l*l*l\/(l\/(l**0\/l*l)))**48\/(l**(1\/2)\/l)**(26\/3))\/((l\/((l\/(l**(4\/7)\/l))\/l))\/l*l**(-3))**14 assuming l is positive.\nAnswer: l**(589\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -2706 divided by -22\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/5 or -262408011?\nAnswer: -262408011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 7*t**2 + 27*t + 59. Is 34 a factor of o(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nbnbnbnbnnnnbnbnnn.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert aa (base 16) to base 11.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 + 11\/2)*44\/110?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10789 + -10312.9. What is d rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -12*b + 1. Suppose 8*w - 6 = 11*w. Let d be ((-455)\/(-5))\/(w - -1). Let l = -92 - d. What is g(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1405.43 to the nearest integer.\nAnswer: 1405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 133 a factor of 157020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 18 + 26. Suppose -7*n + 11*n = k. Solve x - n = 2*z - 0*x, -20 = -4*x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-9)\/(2*39\/1274)*(-1)\/3. Solve -k*a = -11*a + 190 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -61 + 86. Suppose -6*q + 5*q = -j. Is q a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -21.15 - -21. Let t = p - 1.85. Let z = 0.76 + -15.76. Which is the second biggest value?  (a) 0  (b) t  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.1*69501.1.\nAnswer: -145952.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-36)\/(-138)*(-45264)\/10496?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/(-4)*(264\/(-198))\/(2*-1). Which is the third biggest value?  (a) x  (b) 0.4  (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83510 = 2*u - 2*v, -163707 + 38435 = -3*u + 2*v. What are the prime factors of u?\nAnswer: 2, 7, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**3 - 2*x**2 - x - 3. Let g be u(-3). Suppose -36 = -0*k + g*k. What is the closest to 2\/7 in -2, -1, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 75.84707 hours to nanoseconds.\nAnswer: 273049452000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**3 + 198754*p**2 - 198751*p - 397506.\nAnswer: -(p - 198753)*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2603092*f**3*h**3*v - 5*f**3*h**2*v - f**3 - 6*f**2*h**2*v + 3*f*h*v + 192*f*v wrt h?\nAnswer: 15618552*f**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3556 and 2.\nAnswer: -7112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2894 - 2898. Which is the third biggest value?  (a) 1  (b) -4\/13  (c) -2  (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 723 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqttqutquqtttmqut. Give prob of picking 2 t.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -163633, -163632, -163631, -163630?\n\"Answer: z - 163634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2892637*g**2 + 5785279*g**2 - 2892641*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 80 divide 126259103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 5*a + 29 = 0, -3*c + 13 + 5 = -3*a. Let m(r) = 1 + c + 5*r + 3. Is m(4) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((6*-1*sqrt(117) + sqrt(117) - sqrt(117) - sqrt(117) - 6*sqrt(117)*-2)*-6)\/(6*(sqrt(441) + (-2*sqrt(441)*6 - sqrt(441)) + sqrt(441))).\nAnswer: -2 + 5*sqrt(13)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + -67 + (-26 - -31).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 - 22*l - 4*l**3 - 16*l**2 - 19*l + 62*l - 25*l = 0. Calculate l.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-49)\/(-14) - (-2)\/4. Suppose s + 12 = m*s. Solve -2*b + 20 = -s*c, 3*c + 4 = b - 11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5*20\/(-150)*18\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 414080, 1656320, 3726716, 6625268, 10351976, 14906840, 20289860?\n\"Answer: 414078*y**2 + 6*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the first derivative of x**2\/2 - 7*x - 1. Suppose -6*z + 5*z = -u - 66, z - 57 = -2*u. Let n be (-306)\/z + 2\/(-14). Calculate c(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -65, 367, 1067, 2035, 3271, 4775?\n\"Answer: 134*p**2 + 30*p - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*g**2 - 1322*g*j**2 - 3*j**2 - 1154*j - 2 wrt g.\nAnswer: 8*g - 1322*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 45807887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -13000 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6 + -5 + -2 + 2. Let a be (0 - 3) + n - 7. Let d = a - -58. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 83 + -11 + (2 - -21) - (-1 + 3 + 2)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 0)*(-3*i**2 + 3*i**2 + i**4) + (-3 + 3 + 2*i**2)*(0*i**2 + i**2 + 3*i**2) - i**4 + 4*i**4 - i**4.\nAnswer: 11*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -77*a**2 - 34*a**2 + 109 + 81*a**2 - 107.\nAnswer: -30*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.42 - 269\nAnswer: -268.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -569*i - 11121. Determine h(-20).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 231, 1711, 5641, 13215, 25627?\n\"Answer: 199*l**3 + 31*l**2 - 6*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 2 - 7)*(-3*w + 4*w + 2*w) - 5 - 11*w + 5)*(4 + 3*w - 4).\nAnswer: -87*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 89 is divided by 49?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 806528180?\nAnswer: 2, 5, 1657, 24337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 - 0 - (-2 - 0 - (-5 + 4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**3 + 6*i**2 + 3. Let p be c(6). Suppose p = -d, -4*q - d = q - 197. Suppose 0*g = 2*g - 16. Calculate the greatest common factor of g and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**3 + 10*j**2 - 9*j + 10. Let p be (1\/1)\/((-13)\/(-104)). Let q be (4 - p - -8) + 5. Calculate the smallest common multiple of 2 and t(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 - -9. Suppose 2*y - 3*y = 4*v + 9, -n*v = -5*y - 22. Put -4, 4, y in descending order.\nAnswer: 4, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:12 PM and 3:47 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 409564332?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3\/23, -2\/647, -954?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) -2  (c) 4\/3  (d) -313  (e) -3  (f) -115\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*j**2 + 25*j + 180.\nAnswer: -5*(j - 9)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (3555\/(-18))\/(130\/52)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/21829 or 5002\/5?\nAnswer: 5002\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-d + 3*d - d)*(0 + 1 - 3) + (2*d - 3 + 3)*(3 - 2 - 2) to i*d + h and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**9*(z*z*((z**5*z*z*z*z)\/z)\/z)\/z)**(-19\/6) assuming z is positive.\nAnswer: z**(-323\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*h - 6*h - 2375 = 1250. Calculate the remainder when 670 is divided by h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 280 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(48)\/(-1*sqrt(3)) - (sqrt(1600)*1 + sqrt(1600)))\/(sqrt(800)*2*-2).\nAnswer: 21*sqrt(2)\/40 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the first derivative of -2*z**3\/27 - 8*z**2\/9 - 32*z\/9 - 20. Find y such that x(y) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.3  (b) -47  (c) 16  (d) 0.2  (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1 + 2 + (-417)\/168 and (-1 - 0)\/((-1281)\/(-77) + -16).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*x + 5*x + 3*h + 8869 = 0, 2*h = 5*x - 8871. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2520)\/(-49))\/(3 - 88\/28). Does 14 divide (7136\/b + (-4)\/(-18))*-5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the second derivative of b**8\/6720 - b**7\/360 + b**6\/90 - 3*b**5\/40 + 3*b**4\/4 - 13*b. Let l(j) be the third derivative of f(j). Give l(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 303 is divided by 102?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 1 + 4 = 0. Put y, 5, -2\/3 in descending order.\nAnswer: 5, -2\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 3, t: 1, i: 3, z: 3}. What is prob of picking 1 h, 2 z, and 1 t?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**2 + 51*t + 564. Let x be o(-35). Suppose 4*r - 8 = 40. Sort 3, x, r in increasing order.\nAnswer: 3, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1181324483?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**2 - 40*d + 338. Let b be w(12). Which is smaller: -26 or b?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f + 16 = 2*m, -3*m + 5*f + 0*f = 16 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*c - 4*c + 2*c)*((4*c - c - c)*(1 + 1 + 0) + c - 2*c + 2*c).\nAnswer: -35*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 28917 and 1547.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4833 + -4829. Which is the second smallest value?  (a) -2.21  (b) 0.3  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -34, -56, -80, -106, -134, -164?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (24 - 60 - 102)*(-188*b + 9 + 184*b - 25) to o*b + k and give o.\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2\/9, -3\/2, 442\/3, 0.4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1536 and 111.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5.36 + 0.36. Which is the nearest to 0?  (a) 0.6  (b) 0.3  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 45740, 45984, 46228?\n\"Answer: 244*k + 45496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1468426133 divided by -1?\nAnswer: 1468426133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 9*r - 10*r. Suppose r*b = -2*b + 378. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18, 21, 26, 33?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4.682 - 0.682. Which is the second biggest value?  (a) h  (b) 0  (c) -4  (d) 4\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/22 >= 3.583?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 791830901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 382515536 to the nearest integer?\nAnswer: 19558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w**5 - 62148*w**4 + 1985852*w**3 - 18795068*w**2 + 46634688*w + 67477760 = 0. What is w?\nAnswer: -1, 8, 17, 15505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xg when two letters picked without replacement from {k: 2, q: 1, x: 4, g: 1, z: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**3 - 3*h**2 - 2*h - 1. Suppose -4 = -3*s + 2*s. Let t = 9 + -5. Let w be (s\/6)\/(t\/(-6)). Give p(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s - 1755138 = 12*s. Let p = -184477 + s. Round p to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3258 and 171161745?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the third derivative of y**7\/1260 + 17*y**4\/3 - 177*y**2. Let i(g) be the second derivative of o(g). Let f(j) = 4*j**2. Determine i(f(v)).\nAnswer: 32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 + -238 + -18 + -1 + -116?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y**3 + 4*y**2 - y - 1. Let r be m(-1). Suppose -3*d = 2*c + 1409 + 2754, c + 2077 = r*d. Round c to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the third derivative of 0*o**4 + 71*o**2 + 0 + 1\/3*o**5 + 0*o**3 + 0*o. Let q(x) be the second derivative of 2*x**3\/3 + 3*x. Determine q(f(b)).\nAnswer: 80*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (-b + 2*b + b)*(-2*b**2 + 0 + 0 + (4*b - 5*b + 0*b)*(-b - 3*b + 3*b)) in the form i*b + h*b**3 + g + w*b**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18 + -11. Let a = 15 - m. Suppose -8*z + a = -4*z. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**2 - 26*t - 90. Calculate r(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6.2 + 6.200011. What is k rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 548 - 1466*o - 1462*o + 869 + 2926*o to the form i + u*o and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -71.96\nAnswer: -71.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.256  (b) 1.05  (c) 0.3905  (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes before 8:39 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**2 + 7*f + 4. Suppose 0 = -6*g + 11 - 5. Let c(s) = -18*s. Let q be c(g). Let p = q - -12. Determine h(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 7*v - 51. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) 29  (b) -2  (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5580*i + 5754*i - 38 - 1619*i + 38 to the form v + z*i and give z.\nAnswer: 9715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.1  (b) -3  (c) 1\/4  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (5 - ((2 - 0) + -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -303, -624, -943, -1260, -1575?\nAnswer: -1888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -9*p - 1. Let h be i(1). Let r = 14 + h. Suppose 2*x = -2*x + 56. What is the remainder when x is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11263\/4510 + 6\/2255. Which is the closest to -4?  (a) 0.5  (b) p  (c) 16  (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27714 divided by -62?\nAnswer: -447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 48\/(-15) - (-2)\/10. Let p be (2 + 1*j)*0. Let k = p + 6. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4262955 - -7?\nAnswer: 426295c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 16141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1472683594 to the power of 1\/2, to the nearest integer?\nAnswer: 38376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -63*p**5 + 27*p**5 + 65*p**5 + (-5*p**3 + 0*p**3 + 4*p**3)*(-2*p**2 - p**2 + 2*p**2) - p**5 + 2*p**5 - 3*p**5.\nAnswer: 28*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i\/(((i*(i*i*i\/(i\/i**(-20)))\/i)\/i)\/i)))\/i*i\/i**(-29))\/(((i*i\/i**(2\/21)*i*i)\/i)\/i*i\/i**19) assuming i is positive.\nAnswer: i**(527\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 2*b = -12. Suppose 2*m = b*m - 24. Let t be (-2)\/(-8) - (-14)\/8. Calculate the greatest common divisor of t and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 55580, 56456, 57322, 58172, 59000, 59800, 60566, 61292?\nAnswer: 61972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(272) + 0 + 4 + (sqrt(51) - sqrt(306)\/(sqrt(24)\/sqrt(4) + sqrt(6)))\/sqrt(3) + -3.\nAnswer: 1 + 9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 39*x + 12. Let o(r) = -59*r - 18. Give -5*o(y) - 7*q(y).\nAnswer: 22*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 20*q**2 + 2*q - 5. Let n(p) = p**2 - 1. Let v(x) = i(x) - 6*n(x). Let j(z) = -z - 1. Let y be j(-7). Suppose y*o + 6 = -0*o. Calculate v(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*t - 13*t = -u - 50*t + 21*t - 3, 21*u - t + 39 + 67 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**3 + 8*n**2 - 7. Let q be l(8). Let w = 12 + q. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 24 + -19. What is the least common multiple of 8 and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the third derivative of s**6\/120 - s**5\/12 + s**4\/8 + 5*s**3\/6 - 9*s**2. Let q be k(4). Let m(b) = -9*b**2 + b - 1. Give m(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11.02 + 10. Let p = l + -3.98. What is the third biggest value in -2, p, 2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 15568 in -0.1, -5, -2\/3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -14*v - 14. Suppose 24 = 2*o + 6. Suppose 0 = -t + 4*d - o, 3*t + d + 38 = 11. List the prime factors of r(t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + ((sqrt(1575) - sqrt(1575)*-2) + sqrt(1575) + -5 + -1*(1 + sqrt(1575)))**2 + 0)*2.\nAnswer: -1080*sqrt(7) + 28412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-4 + (sqrt(75) - (3 + (sqrt(75)*-1 - sqrt(75)))))**2.\nAnswer: -4344 + 1260*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in twenty-one quarters of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12 and 996.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 13553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/23012 and 131\/215424.\nAnswer: 112666752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 = -4*a - 5*u, -2*a - 10 = 5*u + 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-8)\/12*9*(-1)\/(-3). Sort -4, w, 1, 3 in ascending order.\nAnswer: -4, w, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (12 - (0 + 9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/((-2 - -4)\/((-10)\/(-1)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -3*o + 0*o**2 + 5*o + 4*o**3 - 3*o**3 - 5*o**2 + 1. Let r be u(4). Let v(x) = 230*x + x**3 - 223*x - 2*x**2 + 10*x**2 + 3. What is v(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 2*d**2 - 15*d - 5. Let c be i(9). Calculate the highest common factor of c and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -44*d**2 - 2*d + 2. What is z(1)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from ffuxfxfxxjjxu.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccmiiccccmcc. What is prob of picking 1 c and 1 i?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a - 1. Let d(m) = -3*m + 6 + m - 2*m. Suppose 0 = -3*v - 86 + 71. Let w = -41 - -40. What is v*z(r) + w*d(r)?\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the second derivative of -3*o**5\/20 + o**4\/4 + o**3\/2 - 3*o**2\/2 - 12*o. Suppose d(m) = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 6351189, 6351230, 6351271, 6351312, 6351353?\n\"Answer: 41*f + 6351148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 472c - -e?\nAnswer: 473b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add together -367929.743 and 55.\nAnswer: -367874.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -535624*l + 3*j + 133 = -535628*l, 0 = -4*l + 2*j - 138 for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 99*m + 47 = -97*m, 2 = -m. Which is the biggest value?  (a) x  (b) 2\/5  (c) -59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 2 - 2)*(150 - 108 + 59)*(-i + 1 - 1) to the form h*i + y and give h.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**2 - 5*m - 8*m + 2*m**2. Let t be o(-13). Let k = t + -109. What are the prime factors of k?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 5)*(2 + 1 - 4)*(-1 - 1 - 1)*(-5 + 0 + 3)*(d**3 + 4*d**3 - 4*d**3 + (d - 2 + 2)*(-2*d**2 + d**2 + 6*d**2)).\nAnswer: -108*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 56431 (base 7) to base 11.\nAnswer: a803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 37 + -71. Let t = -33.896 - a. Let u = -0.104051 + t. Round u to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6.66 - 1.34. Which is the nearest to o?  (a) 6  (b) 2  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -44 in -0.4, -2, 0.04, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the first derivative of 11*u**3\/3 - 14797. Let a(g) = 2017*g. Calculate a(p(z)).\nAnswer: 22187*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-2\/17)\/i**(5\/6) assuming i is positive.\nAnswer: i**(-97\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -3234 divided by -147\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**2\/5 - 2*n\/5 - 24\/5.\nAnswer: 2*(n - 4)*(n + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**3)**(-20\/7))**10 assuming r is positive.\nAnswer: r**(-600\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, 4, -5, -4 in descending order.\nAnswer: 13, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -498582a (base 11) to base 7.\nAnswer: -133420142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 16720, 17109, 17764, 18691, 19896?\n\"Answer: d**3 + 127*d**2 + d + 16591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-184*g + 184*g + 52*g**2)*(0*g + g + g)*(67 - 41 + 38) to k*g + q*g**2 + n + y*g**3 and give y.\nAnswer: 6656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 22040 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -1\/4  (b) 0.029  (c) 3\/5  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-56)\/312)\/(255780\/7560)?\nAnswer: -2\/377","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and 8?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5675*b**4 - 2932*b**4 - 2961*b**4 - 196*b**2 wrt b?\nAnswer: -5232*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 59*l + 356. Let k be g(-6). Solve 12 = 4*f + k*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + (5 - 2 - (-3 + 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j + 5. Suppose -8 = 2*o - 0*o, -a - 3*o + 8 = 0. Suppose -5*x - 15 = a. Give r(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 92 a factor of 828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-53)\/(-30) - ((-1029)\/(-42) + -23).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzzeeeeeeeezzeeeeez. What is prob of picking 1 z and 1 e?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 1 = 4*y - 0, 3*y + 15 = h. Solve -4*m + 35 = 3*a, -5 = 2*a - h*m - 0*m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 3*i**2 - 5*i + 7. Determine b(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80 = -2*y - 2*y. Suppose 4*b - 2*z = -0*b + 16, -z = -3*b + 13. Calculate the greatest common factor of b and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -3*o**2. Let q(x) = -5205*x**2. What is q(p(n))?\nAnswer: -46845*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -53, -209, -471, -839, -1313, -1893?\n\"Answer: -53*b**2 + 3*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -34343 (base 5) to base 14\nAnswer: -c89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -810 - 2169. Let i = 205 + n. Is i\/(1 + -5) - 0 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1 - 0) + 3 - 6) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 15.12 * 0.2\nAnswer: 3.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 13010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s**2 + 48*s - 162 = 0. What is s?\nAnswer: -27, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 283986655.\nAnswer: 5, 37, 457, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 3\/352?\nAnswer: 3\/352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -64*u**4 + 125*u wrt u?\nAnswer: -768*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(243) + sqrt(243) - sqrt(243))*-5 + sqrt(243) - (sqrt(243) + 1 + 3)**2.\nAnswer: -259 - 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1134746 and -6995.\nAnswer: 1127751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -33b53b (base 12) to base 9\nAnswer: -1502412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1383*h**2 - 692*h**2 - 689*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**2 + 5*j + 6. Let t be -2*(-4 - 4*-2). Let m = t - -13. What is the units digit of d(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14 + 135*h - 14 + 111*h**2 - h**3 + 116*h**2 - 225*h**2 to z*h**3 + g*h**2 + u*h + l and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37384995?\nAnswer: 3, 5, 67, 37199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 + -354 - 28\/196*14. What is the third biggest value in 3, 1\/3, t, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11632269 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wkkb. What is prob of sequence kw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-80)\/(-28))\/(10\/35) - -4. Solve -5*n = v + 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7\/(-60)*13*3\/91?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-74)\/(-148))\/(11\/2)*121\/55?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 1 + 574*r + 6 - 5.\nAnswer: 574*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1637 + 20077.35?\nAnswer: 21714.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 410*n**2 + 204*n**2 - 110*n**2.\nAnswer: 504*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the second derivative of 25*n**8\/7 + 17*n**4\/4 - 2*n + 51. Find the third derivative of x(w) wrt w.\nAnswer: 24000*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the third derivative of 0 + 0*y**3 - 12*y**2 - 1\/420*y**6 - 1\/21*y**4 + 0*y - 1\/42*y**5. Suppose a(b) = 0. Calculate b.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -4*t**2 + 2*t. Let m(s) = 17868*s. What is m(u(i))?\nAnswer: -71472*i**2 + 35736*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 11 = 2*p + 19, -4*i + 100 = 4*p. What is the first derivative of -416 + t**3 - i*t**3 + 369 - 12*t**3 wrt t?\nAnswer: -93*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i**2 + 3944*i - 1188704 = 0. What is i?\nAnswer: -1228, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 2*m**2. Let o(r) be the second derivative of 0*r**2 - 5*r + 23\/12*r**4 + 0*r**3 + 0. Give z(o(s)).\nAnswer: 1058*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3254807 rounded to the nearest 1000?\nAnswer: 3255000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 438747?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes after 6:49 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the second derivative of -b**5\/4 - 2*b**3\/3 - 2*b**2 + 108*b. Let a(x) = -6*x**3 - 5*x - 5. Determine -4*a(p) + 5*o(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2815 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**8*r*r**(-10)*r\/(r**(-1)*r)*r*r*r\/(r*r**(2\/15))*r assuming r is positive.\nAnswer: r**(43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19745, 39507, 59257, 78995?\nAnswer: 98721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 393082082?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.955357nm in kilometers?\nAnswer: 0.000000000008955357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*x**4 - x**3*y - 15*x**3 - 479*x**2 - 702*x*y + 88*x - y + 5 wrt x.\nAnswer: -48*x**2 - 6*x*y - 90*x - 958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -161, -949, -1.\nAnswer: -949, -161, -6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-295)\/(-204) - (-15)\/(-10) and 1\/9?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (207\/27)\/(4\/12). Calculate the greatest common factor of p and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 minutes before 4:04 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1166 is divided by 66.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 2028 divide 813092124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 12546 divided by -369\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5257739*w - 19515296.\nAnswer: -5257739","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26130 is divided by 278?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 51513121547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -164 + 24. Solve 3*q + 5*o = z, -q + 0*o = 5*o - 26 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2025 is divided by ((-570)\/(-190))\/((-3)\/(-1007)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, 1\/3, 0.7748 in ascending order.\nAnswer: -2\/3, 1\/3, 0.7748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 66403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6206327, 12412705, 18619085, 24825467?\nAnswer: 31031851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -2*u**3 + 31*u**2 + 547*u + 356. What is h(-10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 2*n**2 + 114*n. Let p(r) be the first derivative of 4*r**3\/3 - 7582. Give f(p(z)).\nAnswer: 32*z**4 + 456*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -4 + (-4 + -5 - -3). Let x(w) = -3*w - 27. Calculate the least common multiple of x(s) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2170043 to the power of 1\/2, to the nearest integer?\nAnswer: 1473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -8*m**2 - 10*m + 2. Let x(z) = -7*z**2 - 9*z + 1. Let j(k) = -5*c(k) + 6*x(k). Let u(f) = -6*f**2 - 11*f - 11. Determine 11*j(n) - 4*u(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 84*z + 80*z + 81*z - 243*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4 or 1.67?\nAnswer: 1.67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = -4*i + 3*r, -21295*r + 6 = i - 21300*r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1002500496 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*i = -1 + 65 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(-2))\/((-30)\/(-225)*25\/(-20))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (8\/20)\/((-4)\/(-15)). Let l = k - 11\/6. Which is the second biggest value?  (a) 0  (b) l  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 164 - 145. Suppose 308 - n = j. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.036 + -4.926. Let w = -0.11 + s. What is the third biggest value in w, 0.1, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 21\/(-28) - (-2 + 3\/(-4)). Suppose -76 = -s*p + 106. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46966328 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (30\/56)\/(((-4)\/(-56))\/(273\/5733))\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 426*w = 4*r + 430*w - 40, 0 = 4*r + 3*w - 38 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -828667 rounded to the nearest one thousand?\nAnswer: -829000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (6\/(-12))\/(1\/(-14)). Suppose 9 - o = f. Solve 4*v = f*v + 3*r - 4, 0 = v + 5*r + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.4 and 10097.63.\nAnswer: 10097.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 2 h when three letters picked without replacement from {n: 4, h: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*a - 142*a + 264 + 3984 = 0 for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 744 - 743. Solve 0 = -4*u, -2*j - 1 = u + h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5922453 litres in millilitres?\nAnswer: 592.2453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -21101 + 1?\nAnswer: -21100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/3, 38, -7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 15) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1514104 + -5?\nAnswer: -1514113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -374094221\/2968 + 7107645\/53. Let p = 8062 - q. What is the common denominator of 2\/4 + 32\/7 and p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.6492909 to 4 dps.\nAnswer: -1.6493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -20103*d*r**2 + 3*d*r + 3969 wrt r.\nAnswer: -40206*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -4*w - 1. Let j(d) = -17*d - 4. Let v(n) = n**3 + 8*n**2 + 2*n + 7. Let l be v(-8). Determine l*i(y) + 2*j(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 26210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s**3 + 6*s**2 - 6*s + 8. Let k be (14*1\/2)\/(-1). Let q be v(k). Solve -z + q = -4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 90  (b) -5  (c) -36  (d) 676\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12 - (-74 - 2) - (-27 - -48)) + -13.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-12 + 7)*(-3 + 1). Suppose 4*s = 5*v + 5, 5*v + 5 = -5*s + w*s. Suppose -15 = -3*y - 0*y. Solve q = -s*q + y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -117026, -3, 3, -1.\nAnswer: -117026, -5, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 123, -39, -309, -687, -1173?\nAnswer: -1767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 997*u + 2009*u - 312*u + 234378 = 0 for u.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -255*q - 17. What is the remainder when k(-2) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes after 1:52 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p - 16 + 4. Suppose -p*z + 10 = 4. Suppose 3*w - 14 = -2. Solve -w*r - z + 6 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.008177172621 to five dps.\nAnswer: 0.00818","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z - 2*z - z + 4*z - 3*z. Let w(t) = 214*t**2. What is q(w(n))?\nAnswer: -214*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7 - 6. Suppose 2*z = 2*k - 4, 0 = 3*z + 2*k - 4*k + a. Suppose 2*c + 4*h - 15 = z*h, 4*c - 35 = 3*h. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 9*y - 32. What is m(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 5*h + 685 = 0, -3*b + 3*h - h = -411. Is 415\/3 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the second derivative of -5*y**4\/4 - 4*y**3 + 3*y + 5. What is v in u(v) = 0?\nAnswer: -8\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-2)\/(-2)*(-7 + 17).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8.3 + -2.1. Let k = -182499143.80000185 - -182499150. Let d = z - k. What is d rounded to seven dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = 11 + 9. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f + 9 - 19. Let g = 2187 + -2188. What is the closest to g in f, -3, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 54, -1, 217, 5 in increasing order.\nAnswer: -1, 3, 5, 54, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 99 - 102. What is the nearest to 0 in z, 5, -2\/9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t - 9. Let m(r) = r - 19. Let v(y) = 2*m(y) - 5*s(y). Let n be v(0). Let p(d) = -d**3 + 8*d**2 - 6*d + 17. Is p(n) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11 + -3. Suppose -4*x + 5*l = l - 32, -4*x = 5*l + 13. Calculate the smallest common multiple of x and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 3*a = 20458, 18767 - 6489 = 3*d - 5*a. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes before 4:17 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 3 + 1)*(0 + 0 + 2*n) + 12*n + 14*n - 12*n + 0*n - n + 2*n to the form f*n + k and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -22 + 4*k + 48 + 18. Let z be w(21). Let q be (480\/z)\/(10\/(-16) - -1). Calculate the highest common divisor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v - 2*v. Suppose -5*p = -v*p - 25. Suppose 7 - 37 = -p*n. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**3 - r**2 + 6. Let p be a(-4). Let o = 17 + -2. Calculate the smallest common multiple of (-9)\/(p\/(-184)) + 4\/(-6) and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(102)*6)\/sqrt(6).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1\/(-1))\/(-18))\/(27\/(-108)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17 + -10. Suppose -4*a = 5*s - 19, s + 2 - m = -a. Let v(n) = 2*n + 153 + 0*n - 315 + 154. What is v(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 divided by 30\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**2 - 2*s + 41. Calculate l(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ydd when three letters picked without replacement from {d: 11, y: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0075 minus 4305711931.7?\nAnswer: -4305711931.6925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-5 + 12 - 8)*-5. Solve 16 = 2*s + 2*s - k*v, 5*s = v - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**2 - 12*m - 29. Let l be w(-6). Let x(f) = -8*f - 34. Let a be x(l). Are a and -89 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4  (b) -21.7  (c) 5\/3  (d) -2  (e) 0.4  (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 7813493 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: What is the next term in -7453, -7445, -7435, -7423, -7409, -7393, -7375?\nAnswer: -7355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -199 + 213. Calculate the lowest common multiple of l and 46.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5306, -8457, -11608, -14759, -17910, -21061?\nAnswer: -24212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (sqrt(1573) - -2*(sqrt(1573) - -3*sqrt(1573))))*-1*1.\nAnswer: -99*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*n**2 + 38*n**3 + 97*n**3 + 88*n**3.\nAnswer: 223*n**3 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1465 at most 4393\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(132) + 3*2*sqrt(132))\/(-2*(sqrt(48) + sqrt(12)) + sqrt(12) + sqrt(12)).\nAnswer: -7*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2900*m**3 + 14038 - 14038.\nAnswer: 2900*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2.773 and -62049.\nAnswer: -62051.773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**(1\/4)*r)\/(r*r**0) assuming r is positive.\nAnswer: r**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 5*i + 8. Let u be o(-7). Let x = 11 - u. What is the remainder when (x\/(-4) - -1)*-2 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15972 divided by -66.\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d and 1 j when three letters picked without replacement from jdjjdjdjddjjjdjjw?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**2 - k. Let b(l) = l**2 + 3*l + 10*l**2 - 10*l**2 - 2*l. What is -3*b(m) - 5*c(m)?\nAnswer: 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -2687, -2687, -2683, -2675?\n\"Answer: 2*n**2 - 6*n - 2683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 378 and 27237?\nAnswer: 26859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(117)*-1)**2.\nAnswer: -18*sqrt(13) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -27 + 29. Let i(c) = -c**n - 163 + 322 + 11*c - 176 + 6*c. What is i(16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 13*i**2 + 5*i - 27. Let g(q) = -13 + 10*q**2 - 1 - 3*q**2 + 2*q. Let j(h) = 11*g(h) - 6*p(h). What is the lowest common multiple of j(-8) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -3*s. Let x = -14 - -9. Let f = x + 6. Let u be n(f). Let b(q) = 3*q - 2. Calculate b(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve q + 8*m - 13 = 11*m, -9 = 3*q + 3*m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2041 (base 7) in base 9?\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 2*x + 3 + 0 - x**2 + 30*x**3 + 0 in the form r + b*x + q*x**2 + m*x**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*d**6 + 6*d**4 + d**2 + 54*d.\nAnswer: 720*d**3 + 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 0 = -4*u + 1, -5*w - 5 = 4*u. Let x(p) = -p**3 - 4*p**2 - 2*p + 5. Let z(r) = -1. Let y(b) = w*x(b) - 4*z(b). Let j = -52 + 49. What is y(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 262176332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -r**3*z**2 + 62*r**3*z - 35*r**2*z**2 - r**2 + 2*z**2 wrt r?\nAnswer: -6*z**2 + 372*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -17, -5, -2, -20 in descending order.\nAnswer: -2, -5, -17, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 11122054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 46.082 - 0.082. Let o = 21 - l. Let f = o - -21. What is the second smallest value in f, -6, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 minutes before 2:52 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 45381, 90878, 136491, 182214, 228041, 273966, 319983, 366086?\nAnswer: 412269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 715667 is divided by 3598?\nAnswer: 3263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 14338 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-2)*i)\/i**(3\/23))\/(i**6)**(-35) assuming i is positive.\nAnswer: i**(4804\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 + 15 + 6)*(4 + 2 - 4)*(-2 + 1 - 1)*(-2*r + 1 - 1).\nAnswer: 224*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*i - 28*i + r + 15 = 0, 0 = i + r - 1. Solve i*f = -4*q, -f + 18 = 5*q - 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 28*(-4*(-3)\/(-102)*-1)\/(354\/6018)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -18*p**3 - 18*p**2. Let a(n) = -n**2. Calculate 18*a(m) - c(m).\nAnswer: 18*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-29)\/(-4) - (24\/3 + -3). Put 0, -4, n in decreasing order.\nAnswer: n, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (-2 + 5 + -7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 1 = 2*r + 5, -7 = r - 4*t. Suppose -7*i = -9*i - 4*h + 24, -4*i + 5*h = 30. Put i, 2, r, -31 in ascending order.\nAnswer: -31, i, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 192 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3077\/1940 + 142\/97. Calculate the common denominator of 53\/728 and s.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x - 5. Let a be u(5). Suppose a = 2*c + 5*c - 14. Suppose c*b - 3*b = -29. What are the prime factors of b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -22*g - 5. Let n be r(-3). What is the second derivative of -16*o - n*o**2 + 46*o**2 + 6*o wrt o?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 87656988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 - 1 + 6)*(7 - 5*v - 8 + 2*v)*(4*v**4 + 0*v**4 + 10*v**4).\nAnswer: 84*v**5 + 28*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v + 2. Suppose -11 = -2*w + c, -6*w + 3*w + 2*c + 15 = 0. Determine o(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1711 - 6841\/4. Is s >= -0.204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 648 by -6.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 - (5 - -30)) + (54 - 58)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**3 - 34*j**2 + 152*j + 5. Let a be r(4). Solve 8*v - 5*v - 2*c + 11 = 0, 2*v + a*c = 18 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -474, 0.1, -7273?\nAnswer: -7273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(425)*-1*1)**2 + -2 + -3 + sqrt(425) + sqrt(425))*-5.\nAnswer: -2100 - 50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 5*z, -48*p + 44*p + 18 = 3*z. Suppose -2*g - 2*c - 18 = 0, 4*g + 1 + 7 = 3*c. Put p, g, 1, 4 in descending order.\nAnswer: 4, 1, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**2 - 6*i + 2. What is the remainder when 1562\/99 - 16 - 724\/(-18) is divided by c(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5.24 - 0.24. Let z = -54041\/12 + 4499. Let q = z + 25\/6. What is the third smallest value in k, 4, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 v when two letters picked without replacement from nixvjnjxnnixnxxn?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3012757 is divided by 993.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 27 - 0. Let c = l - 48. What is the remainder when 296\/7 + 6\/c is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -900198*u**3 - u**2 - 1828895 wrt u.\nAnswer: -2700594*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 9, j: 4, x: 3}. What is prob of sequence xjx?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78*q - 37852 + 32234 = 352480. Is q a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d - 130 = 2*x - 106, -x + 13 = -3*d for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 206554\/417 + 2\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1604708 times -2?\nAnswer: -3209416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 - -5145131?\nAnswer: 5145134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -557*n + 292*n + 6 + 268*n.\nAnswer: 3*n + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -f**6 - 90*f**3*q + 7*f**2*q - 9*q wrt f.\nAnswer: -120*f**3 - 540*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -0*f + 3*c - 3648, f + 5*c = 1228. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1228)\/28 - (-103 - -59).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1574 = 9*j - 7*j. Let t = 1679 + j. Suppose 0*r + 4*r - t = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.1  (b) 5  (c) -1611\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 256.666 microseconds to nanoseconds.\nAnswer: 256666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that -3*z**2\/5 + 12536778*z - 65487834425535 = 0.\nAnswer: 10447315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9\/7 - 11\/7. Let l = -4.6 + 5. Which is the nearest to u?  (a) -0.1  (b) l  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 59 or 137?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7 - 8. Let k be 108\/(-84) + p\/(-1). Sort -2\/5, -1\/2, k in decreasing order.\nAnswer: k, -2\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17000 + 18823 - 10*y**2 - 4*y**2 + (0 - y + 0)*(-y + 2 - 2) + y**2 + 3*y**2 - 3*y**2 to o*y + r*y**2 + g and give g.\nAnswer: 1823","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/15, 0.1, -0.07, 3, 1\/3, -2\/9, -4\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 11083165 divided by -1\nAnswer: -11083165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 17*m**3 + 11*m**2 - 42*m - 13. Let q(i) = 8*i**3 + 5*i**2 - 18*i - 6. Calculate 6*k(u) - 13*q(u).\nAnswer: -2*u**3 + u**2 - 18*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11568 + 11808. Calculate the least common multiple of 240 and p.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 22751 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -13514, -27051, -40588?\n\"Answer: -13537*m + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29 + 49*p - 33 + 60.\nAnswer: 49*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 24*f**2 - 2*f**2 - 11*f**2 - 6*f**2 - 10 - 13*f. Let a be j(7). Suppose a = 5*v + 49. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 36.715 + -10.715. What is the second smallest value in -4, -3, -5, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (17100\/(-3))\/((-1)\/(-8)*-6). Round m to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 452 = 428. Let q(a) = -190*a - 4160. Let j be q(-22). Calculate the highest common factor of s and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -47886573 - -4?\nAnswer: -47886568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Do -66 and -621 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 18860 and 1427620?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes after 10:36 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2873*v - 7064 - 9348 = -12263*v + 11758 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/8*-2)\/(117\/(-1404))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 11*z**3 - z**2 + 3*z - 2. Let p = -1 - -3. Let x be m(p). What is the greatest common divisor of x and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13503 is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 50*g**4 - 4440*g**3 + 131424*g**2 - 6483584*g\/5 = 0.\nAnswer: 0, 148\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 478 = 4*y, -j + 5 - 3 = 0. Suppose 3*x + z - 110 = -12, 0 = 3*x - 5*z - y. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 132776727*y**2 - 9303310*y wrt y.\nAnswer: 265553454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 353, 680, 1015, 1358, 1709, 2068?\n\"Answer: 4*k**2 + 315*k + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2577 - 1546. Is 26 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -9*v**2 - 13*v + 26. Let u be h(-20). Is u*3*3\/(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 289*l - 173*l - 83440 = -1374*l for l.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i - 4. Let x be w(-5). Let h(k) = 2*k**2 + 3*k. Let l(p) = p + 5. Let q be l(-7). Let j be h(q). Solve 0 = y - j*y + x for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**3 + 8*s**2 + 10*s + 11. Suppose 2*q + 2*q + 28 = 2*x, x + 1 = -3*q. Calculate the remainder when i(-6) is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 13*p**2 + 22*p + 60. What is the tens digit of m(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 2*g**4 - 508*g**3 + 1506*g**2 + 8*g - 2008 = 0.\nAnswer: -1, 2, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, 6\/11, 333, 0.3, -4, 18.\nAnswer: -4, -1\/3, 0.3, 6\/11, 18, 333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-30)\/14 + -4 + 6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 55 + -50. 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: Express (698 - 698 + 47*z)*(5*z**2 - z**2 - 2*z**2) + z**3 - 4 + 4 as s + c*z + j*z**3 + k*z**2 and give j.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3794 is divided by 376?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 91202\/19 + -4800. Which is the nearest to t?  (a) -39  (b) 0.4  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.4 - -0.9. Let f = -0.6 + x. Is 0.7 at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*s**3 + 31*s**2 + 88*s + 20.\nAnswer: -(s - 10)*(s + 2)*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 + 6. Suppose -2*x - g*x = 0. Solve -4*q = -2*j - 8, -4*j - 2*q = -x*j - 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) 4  (b) 10\/7  (c) 430\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 18*-0.46\nAnswer: -8.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -145 and -1884.78?\nAnswer: 1739.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4\/3*b + 1\/6*b**2 + 8\/3.\nAnswer: (b + 4)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -830, -807, -788, -773?\n\"Answer: -2*z**2 + 29*z - 857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1025*q = 1029*q + 4*v - 200 - 52, 4*q - 15*v - 233 = 0 for q.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(171\/(-114))\/(1\/6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 1056 - 1816 + 2*g**2 + 887 as r*g**2 + k*g + w and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 - -25254020214?\nAnswer: 25254020210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -905a99 (base 11) to base 16.\nAnswer: -163d18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -64 + 2*k**2 - 85 + 31*k - 79 + 212.\nAnswer: (k + 16)*(2*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d + 4*d. Let i be 12\/(2 - 3 - d). Let t = 38 + i. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1918918917 + -3?\nAnswer: 1918918914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2188108657 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-21)\/(-12)*(-59)\/((-1062)\/72)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:29 AM and 8:00 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 - -11. Let c = i + -2. Suppose 0 = 4*o + c*x - 7*x - 64, -4*x = -4*o + 68. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14446848 to the power of 1\/2, to the nearest integer?\nAnswer: 3801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3.498 or 9\/2?\nAnswer: -3.498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 2*j + 12. Let s = 11 - 18. Let z be m(s). Let n be 96\/56 - z\/7. What is the highest common divisor of 2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1165234 - -4?\nAnswer: -1165230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 92*c*n**2 + c*n + 267*c - 419671*n**2 wrt c?\nAnswer: 92*n**2 + n + 267","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 2*s = 4581. Let n = s - -13757\/9. Let a be -2 - -16 - (7 - -4). Is n > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -12*i + 4*i**2 + 19 - 2*i**2 - 10 + 9 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 86 in 5\/4, 2\/7, -4, -0.2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -2*z**4\/7 - 436*z**3\/7 + 4968*z**2\/7 - 15980*z\/7 + 11450\/7 = 0.\nAnswer: -229, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*n - 2*n + 150. Let y = n + 43. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that -z**4\/2 + 23*z**3 - 481*z**2\/2 - 552*z - 288 = 0.\nAnswer: -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-1\/2)\/r)\/(r\/(r*r\/r**6*r*r))*r*r*r\/(r*r\/(r\/r**(-2)))*r*r*r**(4\/3)*r*r*((r\/r**(-3))**(-8\/3))**0 assuming r is positive.\nAnswer: r**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a + 3*a - 192 = 0. Let s be 4\/10 + a\/40. Suppose s*y = 4*y - 6410. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1a (base 13) in base 2?\nAnswer: -10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7052 + 106712 = 5*x. Suppose 4*i - 4*t - x = 0, t - 15641 - 9298 = -5*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hwk when three letters picked without replacement from {w: 7, k: 6, h: 6}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4 + 1364.\nAnswer: 1363.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/266 at least as big as -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8543*x**2 - 16529*x**2 + 7978*x**2.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 713 = -59*q + 932 + 1256 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**4*z**(-5\/3))\/(z\/(z\/(z*z\/z**(3\/14)*z))*z**21) assuming z is positive.\nAnswer: z**(-901\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d + 8 = 4*x, 2*d + 11 = 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - k + 112 = 0, -c - c = 4*k - 100. Calculate the remainder when c is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1539) + 3 + sqrt(1539))*-6)**2 - (5*sqrt(228)*3)\/sqrt(12).\nAnswer: 3873*sqrt(19) + 221940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((-32)\/(-48))\/((-6)\/63)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 85\/48 and 37\/1356828.\nAnswer: 5427312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -2\/13  (b) 4  (c) -2  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -3*-0.001\nAnswer: 0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3765, -3768, -3773, -3780?\nAnswer: -3789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 6*y - 6. What is the remainder when 16 is divided by v(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 999 + -5731.4393.\nAnswer: -4732.4393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 248582 is divided by 49710?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 3*4*((3 + 0 + sqrt(3))*2 - ((sqrt(3) - (sqrt(3) + 3*-1*sqrt(3))) + 5))**2.\nAnswer: -24*sqrt(3) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 388 + 0.094.\nAnswer: 388.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 96 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 83241870 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1490?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23822\/(-154843)*(-13)\/(-243).\nAnswer: -2\/243","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -14.9455 rounded to 1 dp?\nAnswer: -14.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -6817, -4288, -33, 5978, 13775, 23388, 34847, 48182?\n\"Answer: 5*o**3 + 833*o**2 - 5*o - 7650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 183329\/4 + -52960. Let p = m + 7089. Let z = -39 - p. What is the nearest to 0.2 in z, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13920*t**3 + 6963*t**3 + 6958*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -48 + (5 + 20 - -5).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 2129581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/1737 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8425 and 155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8306 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**(-2\/9))**18*(m**(-18))**(-44) assuming m is positive.\nAnswer: m**814","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hddhdhdflfihtdith. What is prob of picking 1 i and 1 l?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 62 by 1.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 78, 138, 180, 204, 210, 198?\n\"Answer: -9*j**2 + 87*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -76 divided by 1040\nAnswer: -19\/260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 + 22 = -4*l. Let i(r) = -3*r**3 - 4*r**2 - r + 3. Let z be i(l). Let v(k) = -z - 2*k**2 + 98 - 47. Let f(n) = 27*n. Calculate v(f(u)).\nAnswer: -1458*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**3\/3 + 16*y**2\/3 + 8*y\/3 - 64\/3.\nAnswer: -2*(y - 8)*(y - 2)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-15)\/(-6)*24\/15. Suppose -268 = -o*q + 20. Let c = 62 - q. Put 1, 0, c in decreasing order.\nAnswer: 1, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(2\/7))**(-3\/16)\/(p*(p*p\/(p**(1\/3)\/p))\/p*p**(-3)*p)*(p\/p**(3\/8)*p*p\/(p*p*p\/((p\/(p**(-6)*p))\/p)))**30 assuming p is positive.\nAnswer: p**(23189\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-3\/4))**(-1\/9)*(n**(-2\/5)\/n*n)**(-10) assuming n is positive.\nAnswer: n**(49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1072*f - 1100*f = -84. Solve -1\/4*n**2 + 1\/2 - 3\/4*n - 1\/4*n**4 + 3\/4*n**f = 0 for n.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**2 + 7*n + 7. What is f(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3313 (base 5) to base 11.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/33285 and 123\/18620.\nAnswer: 17707620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 minutes before 8:41 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 343 = 3*j - 5*n - 406, n = -4*j + 968. Suppose t = -2*t + j. Calculate the greatest common divisor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2230 and 202484.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 t when two letters picked without replacement from {q: 3, o: 3, j: 3, b: 2, g: 4, t: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 3*s + 86 = 0, -5*s = 4*l + 6 - 44. Solve 6*x + 5 - l = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -391, -725, -967, -1111, -1151, -1081, -895, -587?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 5 - 6)*((2*h - 3 + 3)*(0 - 2 + 1) - h + 3*h - h + 4*h - 2*h - 3*h)*(0 - 3 + 1).\nAnswer: -36*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/7140 and 113\/24837000?\nAnswer: 173859000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes before 4:09 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1 - -1ba8827?\nAnswer: 1ba8826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (39 - 39 + 5*h + (-2 - 1 + 8)*(-17*h + 7 - 7) + 0*h - 2*h + 4*h)*(-2*h + 2*h - 2*h**2) as a*h**3 + r + u*h**2 + n*h and give a.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 877014149 to the nearest integer?\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 259, 397, 621, 931, 1327?\n\"Answer: 43*s**2 + 9*s + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 54*d**2 + 63*d**2 - 116*d**2 - 2*d**3 - 22*d**5 + (0 + 0 - 3*d**2)*(0*d**3 + d**3 - 3*d**3).\nAnswer: -16*d**5 - 2*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = 4*w - 104, 4*w = -r + 6*w + 17. Solve 0 = r*x - 21*x - 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 38 and 1425.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1138727 is divided by 230.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -875 + 2026. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1873676?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*a = -292 + 332. Sort 0, 6, -4, a in ascending order.\nAnswer: a, -4, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 82986398 is divided by 2800.\nAnswer: 2798","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 78640 and 23592?\nAnswer: 235920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -47.9707849 to the nearest integer.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = -5*r + 2944511 + 3785119, 4*r = -5*o + 6729624. What is o rounded to the nearest ten thousand?\nAnswer: 1350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, 88, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1030.72 times 302?\nAnswer: 311277.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 6.06+96445\nAnswer: 96451.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**3 - 7*q**2 + 8*q + 3. Let x(m) = 3*m - 5. Let g be x(5). Let p be -2 + g + -2 - 0. List the prime factors of c(p).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 7*r**3 + 228*r + 3*r**2 + 1586 - 36*r**3 - 1658 - 3*r**4 + 7*r**2 - 36*r**2.\nAnswer: -(r - 2)*(r + 6)**2*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -95 - -95.1. Let c(k) = -k - 1. Let j be c(4). Let z be j\/3 + (-1 - -3). What is the third smallest value in z, w, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 121584 + -47846. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 596.6121ml?\nAnswer: 0.5966121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2 less than -23\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -4, -10, -14, -16, -16?\n\"Answer: a**2 - 9*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -b - 3*t + 2*t, 5 = 5*t. Suppose 4*s - 3398 - 698 = b. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -463\/33 - -6085\/429. What is the biggest value in 46.46, -1, p?\nAnswer: 46.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13514 greater than -577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d. Let s(r) = 92828*r**2 + 5. What is g(s(o))?\nAnswer: 92828*o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 479900\/19 or 25257?\nAnswer: 25257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (21*y**2 + 3*y**2 - 2*y**2)*(1 - 1 - 2) to the form a + h*y**2 + u*y and give h.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-76)\/(-28)*-5 + 13. Let o = 2\/115 + 337\/460. Which is the biggest value?  (a) -0.1  (b) l  (c) -26  (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -a3 - -2?\nAnswer: -a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r\/((r**(-7\/4)\/r)\/r)*r)*r)\/r*r*r**(1\/3))\/(r**(13\/5)*r**(2\/11)) assuming r is positive.\nAnswer: r**(-4091\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3423 and 495194?\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 5*f + 8 + f**2 + 5*f - 3*f. Let s(j) = -j - 23. Let c be s(-19). Let h be w(c). Sort -5, 2, h in ascending order.\nAnswer: -5, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2252041mg to micrograms.\nAnswer: 225.2041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 14374*h - 7184*h - 7187*h. Let u(f) = f + 6. Determine u(t(l)).\nAnswer: 3*l + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yjbjbbbjjbyjy. Give prob of picking 1 j and 1 b.\nAnswer: 25\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -u - u. What is the closest to -2 in -2, u, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2685 - -18916\/7. Let c = 17 - d. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/(-26) + (-529344)\/(-234). Let t = r + -1307. Suppose 2*q - 4*q + 3*c = -t, 0 = -4*c + 4. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12718 + 12889. Calculate the remainder when w is divided by 41.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -377368356.3 rounded to the nearest 1000000?\nAnswer: -377000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3140\/29830)\/((-15)\/760*4\/(-6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**2 - 3960*j + 3962.\nAnswer: -2*(j - 1)*(j + 1981)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0.34791477 * 0.4\nAnswer: 0.139165908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put together 5557.3 and 0.00052.\nAnswer: 5557.30052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-255)\/68)\/((-5)\/20). Suppose 9 = -d + 3*s, 10 = 5*s - 0*s. Let r be ((-4)\/d)\/(f\/(-9) - -2). Solve -3 = 5*g + r*p, -2*p = g + 3*p - 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 346664 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -27306 divided by 34?\nAnswer: -13653\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.328 - 0.072. Let x = 7666.8 - 7670. Which is the closest to 0?  (a) -1  (b) -1\/3  (c) x  (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1060 and 235.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/(-28)*-3*(-19)\/(11115\/(-182))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-64*k - 204 + 205 + 224*k)*(13*k + 0*k + 19*k) as m*k**2 + b + o*k and give o.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8963.92 + -9231. What is a rounded to the nearest ten?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -341*u**3 + 678*u**3 - 347*u**3.\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 5)*(1 - 4 + 2)*(2*x + 3*x - 2*x).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 17867413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -56 + 55.5. Sort -5, 0.3, q, 2 in descending order.\nAnswer: 2, 0.3, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.02?  (a) -25488  (b) -2  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -14\/51?  (a) -4.6  (b) 2\/3  (c) 4  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3.31 and -0.3.\nAnswer: 0.993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -6*a - 21. Let l be r(-4). Solve -w + l*w - 2 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**3 + 5*k**2 - 4*k - 3. Let x(y) = -4*y + 22. Let s be x(5). Let b be d(s). Let a = -54\/11 + 464\/99. What is the biggest value in b, a, -1, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the third derivative of r**8\/80640 + r**7\/6720 + r**6\/1440 - r**5\/15 + 4*r**2. Let b(h) be the third derivative of g(h). Solve b(i) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6080 (base 9) in base 3?\nAnswer: 20002200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -367, -342, -309, -268, -219, -162?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -30*q**2 + q. Let u(b) = 21*b - 5. Determine y(u(s)).\nAnswer: -13230*s**2 + 6321*s - 755","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the first derivative of a**4\/4 - 13*a**3\/3 - 11*a**2\/2 - 19*a + 7. Let o be m(14). Calculate the greatest common factor of o and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -240910*x - 1801851 wrt x?\nAnswer: -240910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.93 - -1. Let g = -2.07 + i. Let j = 2.5 + g. Sort 0, j, -3 in increasing order.\nAnswer: -3, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 + -4. Suppose -827*b + 385 = -816*b. What is the greatest common factor of h and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1642120 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 520294805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**3 - 6*b**2 - 5*b. Let n be v(-5). Suppose -r + n*t + 143 = -3*t, 0 = -r - t + 163. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7 + 6. Let m = 4251 - 4255. Let s = -0.4 - 0.6. What is the closest to o in s, 4, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*j - 27 = 9*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -29 or -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 706 minutes before 11:17 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -4976300 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**3 + 15*a**2 + 16*a + 21. Give p(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7644 = -2*c + 5*v, -9*c + 5*v + 19065 = -4*c. What are the prime factors of c?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4 + -b77?\nAnswer: -b73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 3, y: 1, p: 1, u: 1, a: 1}. What is prob of sequence pqa?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 7817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 36.7544 decades?\nAnswer: 0.367544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10319598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (6*(-77)\/28)\/((-10)\/20*1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14 + -39. Let h = -425\/8 - q. Let w = 26 + -36. Which is the second biggest value?  (a) h  (b) w  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(2\/7)\/(c*c\/(c\/c**6*c*c))*c**(-2\/7)\/(c\/(c**(-2)*c)*c) assuming c is positive.\nAnswer: c**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*y**5 - 21*y**5 - 14*y**5 + 0*y**5 + 3*y**5 - y**5 + (y + 0*y - 2*y)*(-2*y**4 + 0*y**4 + 0*y**4).\nAnswer: -28*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 526 + 1158. List the prime factors of x.\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 23288*m - 6 + 23244*m - 5)*(2 + 0 - 3) to p*m + s and give p.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*o**2 + 38 - 10 - 19 - 9.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 3*i**2 - 21*i + 24. What is g(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1431 - -1312?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -3721*u + 1. Let o(g) = -7462*g + 2. Determine 6*o(n) - 11*s(n).\nAnswer: -3841*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - x**3)*(8*x**2 + 2*x - 2*x) - 4*x**5 - x**5 + 3*x**5 + (x - x - x)*(2*x**3 - 2*x**3 - x**4).\nAnswer: -9*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -3*x - 15. Let f(b) = b**2 - 14. Let l be f(x). Which is smaller: l or -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = -0*a + 4*u + 16, 0 = a + 2*u - 12. Let y(l) = 5*l**3 + 3*l**2. Let r(j) = 14*j**3 + 8*j**2. Determine a*y(d) - 3*r(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1088) - (3 + 2*sqrt(1088) - sqrt(1088) - sqrt(1088))) + sqrt(1088) + (1 + sqrt(1088) - sqrt(1088))*-4 - (2*sqrt(1088) + -1 + -1))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 6*k**2 + 3*k. Let d(u) = -5*u**2. Give l(d(q)).\nAnswer: 150*q**4 - 15*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2960 + -2405. What is the remainder when i is divided by 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 445*n = 2*y + 441*n + 2, n = 3*y - 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -57*1146\/(-9) + -2. Let m = k + -177256. What is m rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -156*i = -159*i + 60 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*j + o - 37, 3*o - 4 + 28 = -3*j. Let b = 17 + j. Find the common denominator of 61\/9 and (4\/40)\/(b\/90).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -370*s + 36652 = 39612 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**3 + 1. Let a(h) = -3*h**3 + 2*h**2 + h - 1. Let s(j) = j + 10. Let l be s(-11). What is l*r(u) - a(u)?\nAnswer: 2*u**3 - 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -6*v + 53. Determine j(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0, 8, -1, -28\/29?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -121, -157, -243, -403, -661, -1041, -1567?\nAnswer: -2263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w - w - 15. Let u(g) = -g**2 - 7*g - 6. Let t be u(w). What is the second derivative of a - 3*a + 6*a**4 - t*a**4 wrt a?\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -86*w - 2*w**3 - 82*w - 100*w + 268*w.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4296.0002301 - -4296. Round s to five decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -83208.017 + 83148. Let y = 60 + g. Round y to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -15*z + 14*z. What is the remainder when 17 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4700\/(-1645) + (9048\/(-224))\/(-13).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -149707*i**2 - 9*i + 10. Let a be n(6). Let w be a\/11 - 2\/(-11). Let t = 6489954 + w. Round t to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v = 5*s + 21, -182*s - 402 - 516 = -4*v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(-2) - (-45)\/6. Let o be 2\/x - 77\/84. Are o and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the first derivative of -5*c**9\/3024 + c**5\/15 + 5*c**3 + 9. Let s(k) be the third derivative of v(k). What is the second derivative of s(f) wrt f?\nAnswer: -100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -12*r**2 - 852*r - 903. Let z(d) = -3*d**2 - 214*d - 226. Let f(g) = -5*i(g) + 21*z(g). Solve f(c) = 0 for c.\nAnswer: -77, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 386443 is divided by 573.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 314 + -312. Solve -d*g - 12 = g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 4, p: 2, z: 3}. Give prob of sequence pzzz.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u + 17 + 26 = 4 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 480047.2um to nanometers.\nAnswer: 480047200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4600?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 78904.17 centuries in years?\nAnswer: 7890417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 603 is divided by 76?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 580674701 to the power of 1\/2, to the nearest integer?\nAnswer: 24097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*m + 6*m + 32. Let b(q) = 16*q**2 + 143*q - 4. Let x be b(-9). Suppose -2*g + 2*n + m = 0, -n + 8 = -2*g - x*n. Solve g = -y + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -6*(5 + sqrt(12))**2*-2.\nAnswer: 240*sqrt(3) + 444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 12.8286788 to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 476642140, 953284277, 1429926414, 1906568551?\nAnswer: 2383210688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-19)*t\/t**(-3)*(t*t**(-1\/3)\/t)\/t**(2\/17) assuming t is positive.\nAnswer: t**(-788\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, x: 1, j: 2, w: 1, i: 1, a: 1}. What is prob of picking 1 j and 1 b?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/27 - 32\/(-36))*540\/120.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -498*m + 497*m + 38418, 3*k + 38410 = m. List the prime factors of m.\nAnswer: 2, 11, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 803920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -88.31204 less than -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 + 3 = 3*d. Let m(k) = k**2 - k - 1. Let a be m(6). Let h = a - 19. What is the smallest common multiple of h and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.3 + 2.3. Let n = -23 - -38. Let l = n + -15.5. What is the third biggest value in l, -1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3088 - 2972 - 585 + 1145)*(-s**2 + 2*s**2 + 0*s**2).\nAnswer: -5500*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 128*s - 926197 = -930549 for s.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 542 is divided by 181?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -2303829 divided by 16\nAnswer: -2303829\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k\/k**(-2)*k))**(-46)\/(k*k*k\/k**(2\/11))**(16\/9))\/((k*k**0)**(-50)\/(k**(-6)\/(k*k*(k**7*k)\/k))) assuming k is positive.\nAnswer: k**(16631\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d and 1 f when three letters picked without replacement from zrzdrrrlrdrf?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.544 - -0.97. Let a = 0.026 - v. What is the nearest to -2 in 1\/7, a, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c - p = -3, 0*p + 2*p + 8 = c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*y + 6*y - 3*y - y - 2*y + 4*y + (-y + 1 - 1)*(4 + 0 - 6) - 2*y + y - y)*(y**3 - y**2 + y**2).\nAnswer: -3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -48*y**5 - 10*y**2 - 2*y**5 - 66*y**2 wrt y?\nAnswer: -3000*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10310 + 3?\nAnswer: 10313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -24*c**2 - 48*c + 315. Let f(j) = -5*j**2 - 10*j + 63. Calculate 19*f(w) - 4*x(w).\nAnswer: w**2 + 2*w - 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15 and 1815?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -2*b + 7, -5*m + 30 = -128*b + 131*b. Solve -5*v + 18 - b = o, -5*v = -o - 17 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 2*l - 10 = -7*l, 5*l = -p - 35. Let q be (p\/(-2))\/((-39)\/(-26)). Suppose 0 = q*s + 3*i - 84, 5*s + 0*s - 5*i = 60. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(5\/2)\/u**(1\/5)*u**(-27)\/((u\/u**20)\/u) assuming u is positive.\nAnswer: u**(-47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 42 - 14. Suppose -p - b = p. List the prime factors of 48\/21 - (-4)\/p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -352, -670, -988?\n\"Answer: -318*v - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -4*q**2. Let m(s) = 3*s - 4 - 3*s**2 + 6*s**2 + s. Let p(g) = 4*g**2 + 5*g - 5. Let l(u) = 5*m(u) - 4*p(u). What is w(l(f))?\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*v + 124*v = -60*v + 1169 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 44100*r**5 - 19218255*r**4 + 2091733576*r**3 + 444287928*r**2 - 19201440*r + 190096 = 0.\nAnswer: -1\/4, 2\/105, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1253.7 - -1258.7. Let k = 2 - 1.8. What is the third biggest value in c, k, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 49340*k**4 + 98752*k**3 - 147876*k**2 - 216*k = 0.\nAnswer: -3, -18\/12335, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is four thirds of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79*v = 81*v - 16. Suppose 4*j + 12 = v*j. Let l(q) = q**2 - 3*q + 3. Determine l(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 66974319?\nAnswer: 3, 7441591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 2*c = 17, -5*t + 5*c - 2*c = -106. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 657 = -6*c + 1365. Let g be (0 - 1)*10\/(-2). Suppose -c = -g*h + 2*s, -h + 84 = 3*h + s. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/4, 2, -4559125, -6\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.05 in 1.5, -6, -3, -5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -749 + 777. Suppose 2*x + 3*y = -9 + 3, 2*x - 4*y - 8 = 0. Suppose x = 5*h - 8*h + 42. What is the greatest common factor of h and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18 + -4 + 10 + -37?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-25)\/(-11))\/5*(-144)\/(-120)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -13503384 by 562641.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {m: 3, a: 11}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 175 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(3\/11))**(2\/23) assuming w is positive.\nAnswer: w**(28\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 398064.3 seconds?\nAnswer: 398064300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -1177*h + 2. Let g be p(1). Let i = 11767\/10 + g. Find the common denominator of i and 56\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = -2*p + 40. Let q = p + -3. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/39 and -56\/143.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -998*b**3 + 131454*b - 950594357?\nAnswer: -2994*b**2 + 131454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 1686*k - 13487. Let l be t(8). Let p = -2 + 2.6. Let s = -0.4 + p. Put l, 0.4, -4, s in decreasing order.\nAnswer: l, 0.4, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 897645441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-28)\/(-11) + 210\/(-385). Solve -4*i + 7 + 5 = -4*n, 0 = t*n + 2*i + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand 0*n + 6*n - 3*n + (21 - 11 + 25)*((0 - 5 + 4)*(0 + 0 + n) - 3*n - 3*n + 4*n).\nAnswer: -102*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*b + z = 11*b + 270, 0 = b - 2*z - 43. Calculate the greatest common divisor of 1643 and b.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - ((-16524)\/(-2295) + -1*17)?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -9*r + 8. List the prime factors of v(-6).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -27 + -10. Let w = 36.99088 + i. Let q = w - -0.01. What is q rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**3 + 17*p**2 - 41*p - 55. Let m be f(-19). Suppose -m*b - 592 = -4*n, -7*b + 4*b + 4*n = 886. Is b greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24\/(-9)*(-3)\/60?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0, -2, 9, -1.5367, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -8 greater than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 41201711 to the power of 1\/3, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 199061944.\nAnswer: 2, 107, 232549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Total of 5858601 and 10.\nAnswer: 5858611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.596 - -0.104. Let p = 0.3 + l. What is the third biggest value in -1\/6, -2\/11, -4, p?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q. Let j(n) = 2*n. Let z(l) = -j(l) + 4*t(l). Let o(x) be the third derivative of 1\/12*x**4 + 0*x + 0*x**3 + 0 - x**2. Give z(o(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 930359.2*-0.5\nAnswer: -465179.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 8, l: 3}. What is prob of sequence ggg?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 590877?\nAnswer: 3, 7, 83, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6518*d + 6516*d + 12998 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -102122 (base 3) to base 4\nAnswer: -10322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 + 4. Suppose -4*d + 53 - 13 = k. What is the smallest common multiple of d and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 2*d = 5*d - 168, 0 = 3*d - 12. What is the highest common divisor of 1222 and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 1 = -3*r, -11603 = -5*w - 2*r. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-36)*(-45)\/6)\/(40\/(-3200))\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 3, m: 2, f: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -a5727b + 4?\nAnswer: -a57277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34055850 divided by 6675.\nAnswer: 5102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8*h**3 - 11*h**2 + 3*h**2 + 3*h**3 wrt h?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8 + -11. Let y = -44 - -44.3. Let o = -4.7 - -0.7. Which is the closest to 1?  (a) y  (b) m  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 347884 is divided by 1474?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 3*o**3 - 9*o**2 + 9. Suppose 2*m - 17 = 3*s, 2*s - 2 = 2*m - 16. Let z(q) = -22 + 40 - 22 + m*q**2 - q**3. Calculate 4*i(l) + 9*z(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 180687118 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 96801.29 meters?\nAnswer: 9680129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3, 0.4, 5, -0.4, -3\/8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (((-2472)\/(-103))\/1584)\/((12\/11)\/2)\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t + 16, 0 = 2*b - 2*t + 5*t + 2. Suppose 5*v - 15 = -60. Put 3, b, v in descending order.\nAnswer: b, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 + -20. Let p = 14 + h. Solve 15 = 3*y - 5*z + p*z, y - 15 = 4*z for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 3 + (1295 - 1280).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 3 and 1.551?\nAnswer: 1.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6)\/(-4)*(3 + -1). Let m = -3 + -1. What is the remainder when -1 - -4 - (k + m) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**0)**16*u\/((u\/u**(-6))\/u)*u\/(u**(-6\/5)\/u))\/(u**4\/(u*u**(-6\/11)*u*u)*(u**0)**(-25\/2)) assuming u is positive.\nAnswer: u**(696\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 208238412 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-6\/5)\/c*c*c)\/c)\/(c*c**6\/c)*c**(-1\/8)*c**(-2\/5) assuming c is positive.\nAnswer: c**(-309\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -746 = -14*i + 6058 - 1260. Calculate the highest common divisor of i and 836.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 129, 284, 419, 522, 581, 584, 519?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1025002726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -43467000 rounded to the nearest one hundred thousand?\nAnswer: -43500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -201 divided by 4.\nAnswer: -201\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 + 2. Let g(b) = -b**3 - b**2 + b. Let d(m) = -m**2 + 2*m - m - 39 + 41. Let q(c) = v*g(c) + d(c). Find the first derivative of q(f) wrt f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j - 634*c = -666*c + 266, -5*c = j - 42 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 126, 254, 382, 510, 638?\nAnswer: 766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 518, 373, 122, -241, -722, -1327, -2062?\n\"Answer: -s**3 - 47*s**2 + 3*s + 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1539) - (-3 + sqrt(1539) + sqrt(1539)*-4) - ((((sqrt(1216))**2 - sqrt(19)) + sqrt(19))*2 + sqrt(19))*3.\nAnswer: -7293 + 33*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 94*w + 312 + 214 + 132 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 - -14. Suppose -3*v + 1 = 3*m + 4, 2*v + 14 = 4*m. Solve -7*l + m*l = p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 94189181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -27 + -36 + (73 - -8).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 384419078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 29, 59, 93, 131?\n\"Answer: 2*z**2 + 24*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**3 - 12*r**2 + 29*r - 63. Calculate d(10).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 - -51. Let g = 196 + -164. What is the highest common divisor of g and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 144, 285, 426, 567, 708?\nAnswer: 849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 579.4327 centuries?\nAnswer: 695319.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, k: 1, g: 1, i: 1, r: 1}. What is prob of sequence rhh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the third derivative of -f**10\/105840 + f**8\/11760 - f**6\/2520 - f**4\/12 - f**2. Let m(s) be the second derivative of h(s). Factor m(l).\nAnswer: -2*l*(l - 1)**2*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -254 = -17*v - 288 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the second derivative of z**3\/6 + z**2 + 3*z. What are the prime factors of o(9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 2*i + 31 = -131, 5*i = 5*l - 210. Let a = l + -27. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 36*g + 111. Let k be n(-3). Let i(b) = -4*b + 2. Let m(h) = 13*h - 6. Let t(p) = k*i(p) + m(p). Let j(l) = -l**2 + 1. Give j(t(q)).\nAnswer: -q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -4517.43504 rounded to the nearest 10?\nAnswer: -4520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*p**2 + 815592063*p + 815592060.\nAnswer: 3*(p + 1)*(p + 271864020)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 302 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*n = 16*n + 8, 194 = 3*f - 2*n. Sort 0, -1, -3, f in increasing order.\nAnswer: -3, -1, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 2*p = -66, p + 23 = 76*a - 77*a. Put 287, -2\/9, a in increasing order.\nAnswer: a, -2\/9, 287","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 163*q**2 + 167*q**2 - 324*q**2. Let k(w) = w**2. Give t(k(s)).\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 127664 divided by 98\nAnswer: 63832\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the second derivative of -s**6\/195 + 17*s**5\/65 - 197*s**4\/78 + 200*s**3\/39 + 432*s**2\/13 - 3*s + 245. What is y in r(y) = 0?\nAnswer: -1, 4, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 99 + -105. Let v(q) = q**3 + 8*q**2 + 11*q - 3. Let c be v(w). Suppose 0 = -2*y + o + 32 + 127, c*o = y - 72. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1458 = -26*b + 28*b. Suppose 2*i - b = -i. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**2 + 7*x - 3 - 20*x + 12*x - 2. Give f(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 31 - 25?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 172975, 347295, 521615, 695935, 870255?\n\"Answer: 174320*y - 1345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 2*j**2 - 10*j - 727. Let w(f) = 3*f**2 - 14*f - 1091. Calculate -7*m(o) + 5*w(o).\nAnswer: o**2 - 366","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10100 - 1111001001010?\nAnswer: -1111000110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cv when two letters picked without replacement from gbvcgbgggyvgb?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (-11 - (-8 + -4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -f + 441*a - 444*a, 3*a + 9 = 0. Let u = 0 + 0. Let v = u + 1. Which is bigger: v or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 m, 1 u, and 1 w when four letters picked without replacement from ueeesmugugwusmeeu.\nAnswer: 5\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 3*q**3 + q**2 + q. Let x(g) = 4*g**3 - g**2 - 4*g. Let l(z) = z**3 - z. Let j(r) = -3*l(r) + x(r). Let y be (-1)\/2*1*2. Calculate y*b(s) - j(s).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39725*z + 40216*z = 2946 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes after 4:32 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) -1\/2  (b) 0  (c) -2\/115  (d) -4  (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -920 + 1675. Let n be (0 + -3)*(-4)\/3. Suppose -583 = -5*y + 4*i + 345, -i + f = n*y. Is 40 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 9343546?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/10 + 126\/35 - 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*w**3 - w**3 - 2*w**3 + (-w**3 + 0*w**3 + 0*w**3)*(3 - 5 + 4) - 8*w**3 - 4*w**3 + 6*w**3 + 2*w**3 + 0*w**3 + 2*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, 22, -1, 3, -33, 35.\nAnswer: -33, -4, -1, 3, 4, 22, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -99 - -142. Calculate the common denominator of 8\/9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k\/(k\/k**(-1\/4)))**(1\/41))**(-5\/8)*(k**(-2\/7))**(-17)\/((k*k*k**6*k)\/(k**(-1)*k*k)) assuming k is positive.\nAnswer: k**(-28969\/9184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -31366 (base 7) in base 3?\nAnswer: -101121201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*n + 32 = 18*n. Solve k = -n, -3 + 22 = -s - 5*k for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*a - 19*a - 4*a.\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -24814 - -35807. Does 62 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -59, -102, -123, -110, -51, 66, 253, 522?\nAnswer: 885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 73*n**2 - 4*n. Let p(h) be the third derivative of h**4\/12 + 518*h**2 - 3*h. Calculate p(s(j)).\nAnswer: 146*j**2 - 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + (3 - 1) + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h**6*h*h)*h)\/((h\/(h**(-1\/21)\/h))\/h*h))\/(h**10*h*h**3) assuming h is positive.\nAnswer: h**(-463\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 368 + -179. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 23693304 and 418.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -173\/966 and 19\/7651686.\nAnswer: 7651686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 31.2 - 27.2. Which is the closest to -1?  (a) 3  (b) -0.9  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -14, -84, -276, -650, -1266, -2184?\n\"Answer: -10*f**3 - f**2 + 3*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**3 + 15*a**2 - 90*a + 233. Determine b(4).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -133, -636, -1477, -2662, -4197, -6088, -8341, -10962?\n\"Answer: -w**3 - 163*w**2 - 7*w + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sshhhshvsvsv?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -14674351, -14674349, -14674347, -14674345, -14674343?\n\"Answer: 2*u - 14674353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 48 and 55662.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(2160)*3)\/sqrt(5) + -2.\nAnswer: -1 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 15 + (5 - 4)*-5. Let r(l) = l**2 - 14*l + 40. Let h be r(y). Suppose 3*b - 768 = 3*c, -3*b + 771 = -h*b - 2*c. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 11*j**2 + 19*j + 31. Let x(k) = 7*k**2 + 13*k + 21. Let n(p) = 5*c(p) - 8*x(p). Let u be n(-4). Solve 4*l - 27 + u = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -239*o**2 - 235*o**2 - 236*o**2 + 704*o**2.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -0.09, -73, -1, -4, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 8, n: 5}. What is prob of picking 2 i?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 - 13022211121100?\nAnswer: -13022211121111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 4*i + 22. Let d(x) = -3*x - 21. Let o be (-12 - -2) + 522\/87. Give o*j(a) - 5*d(a).\nAnswer: -a + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (t**2 + 0 + 0)*(t + 2*t - 5*t)*(-131 + 73 - 113).\nAnswer: 342*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -5120*q + 931837. Determine m(182).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 105661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4480674150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -427\/13 or -8?\nAnswer: -427\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 10604177?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(76)\/sqrt(4) + sqrt(19) + -3)*1.\nAnswer: -18 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 436 = -20. Let y be (-4)\/(-18) + p\/36. Suppose -4*i + 24 = 2*c - y*c, i + 5*c = 30. Solve -2 = -4*g - 2*w - 4, -i = 2*g - 2*w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 134*z - 130*z - 56. Let w be (((-22)\/z)\/11)\/((-1)\/(-6)). Which is the nearest to 0?  (a) w  (b) 1  (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (573\/24)\/((-20)\/(-5)). Let u be 0 - 0 - (-75)\/160. Let a = m - u. What is the common denominator of -73\/2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 458701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 558653412?\nAnswer: 2, 3, 83, 560897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (75\/300)\/(6\/(30\/(-5))*(-4)\/(-20))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 25*a**2 - a - 4. Let z(r) = 0*r - 3 + 4 + r. Suppose -13*w = -65938 + 65990. Let s(m) = w*z(m) - u(m). What is the second derivative of s(v) wrt v?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -98, -62, 3, 6 in decreasing order.\nAnswer: 6, 3, -62, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 980\/(-5)*(-33)\/(-8). Let v = l + 775. Calculate the common denominator of (9\/(-6))\/((-6)\/5) and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -18*(-1)\/(63\/14). Suppose -2*h + 5*s + 2 = -6*h, -n*h - 3*s - 6 = 0. Put h, 2, -4, -1 in decreasing order.\nAnswer: 2, -1, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.16003 months to centuries.\nAnswer: 0.004300025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*s - 11 + 35. What is the highest common divisor of s and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-15))\/((21\/(-4))\/((-2415)\/322)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**2 - 67*c + 1148. Determine b(63).\nAnswer: 896","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 176816?\nAnswer: 2, 43, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -1627*s**6 - 4*s**4 - 5*s**2 - 133. Let a(h) = h**4. Let f(i) = 4*a(i) + x(i). Find the third derivative of f(o) wrt o.\nAnswer: -195240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -2*x + 45. Let y be (5\/10)\/(-2*(-2)\/544). Suppose -2*l - 2*l = -12, 0 = 4*j - 4*l - y. Does 3 divide q(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 20 - 20 - 29*g**2. Let k(j) be the first derivative of 2*j**3\/3 + 54. Determine k(l(v)).\nAnswer: 1682*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o - 8 = 0, -o = 2416*g - 2420*g + 18 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 5778 = 1383. What is the remainder when j is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the first derivative of q**5\/60 - q**4\/6 - 3*q**3\/2 + 9*q**2\/2 - 10. Let m(t) be the second derivative of g(t). Is 12 a factor of m(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 44*0.28.\nAnswer: 12.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 2*n**2 - 2*n - 2. Let k be x(2). Suppose 13615 = 3*z + k*z + 5*g, 2*z + 4*g - 5456 = 0. Let u = z + -1805. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 14*r**2 + 3*r - 2. Let n be c(-3). Let y = 1 - -21. Let g = n - y. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -20021 - 120?\nAnswer: -20141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1a (base 16) in base 10?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -434309207*q - 736295256 wrt q.\nAnswer: -434309207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7992*s**6 - 189*s**2 - s - 10?\nAnswer: 959040*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2b5 (base 16) in base 8?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 153718 a multiple of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4792 by 211.\nAnswer: 4792\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.00167 - 1293.50167. Round l to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z + 2*z - 192. Suppose -5*h - 5*l = -2*l - 578, -5*l = h - 120. Let n be (-7370)\/h - 4\/46*-1. Does z = n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o - 2*o - 2*o + (2*o + 0*o - o)*(0 - 3 + 4) - o + 0*o - o)*(0 + 3 + 1).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1303064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 28*g. Let t(w) = 4*w**2 - 5*w. Let k(h) = 14*h**2 - 16*h. Let y(b) = -5*k(b) + 16*t(b). What is r(y(o))?\nAnswer: -168*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -24124546 - -15.25?\nAnswer: -24124530.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.0587 and 343?\nAnswer: -20.1341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 40009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -303*s**2 - 32*s - 238*s**2 + 29*s in the form p + v*s + g*s**2 and give g.\nAnswer: -541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 + (-5 - (-1280)\/8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 82, -3, 779613.\nAnswer: -3, 82, 779613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**2 - q + 1. Let w(i) = 10*i**3 + 5*i**2 - 2*i + 4. Let n(h) = -5*p(h) - w(h). Let x(m) = 3*m**3 - 2*m + 3. Calculate -2*n(s) - 7*x(s).\nAnswer: -s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes before 10:00 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*i*l*r - 2*i*l - 11665*i*r - 9*i + 2*l - 19 with respect to r.\nAnswer: -5*i*l - 11665*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 940315.29 take away 1024?\nAnswer: 939291.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2044305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 540770 or -25\/2?\nAnswer: 540770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -42, -139, -288, -489?\nAnswer: -742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3100 divided by -62?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-3)\/(-1))\/3)\/(176\/11).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 2 e when three letters picked without replacement from gggggegewg?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 231215 bigger than 231220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -3*n + 78. What is u(17)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -14*o**4 + 64*o**3 - 20*o**2 + 14*o - 22. Let s(w) = -2*w**4 + 9*w**3 - 3*w**2 + 2*w - 3. Let v(g) = -6*m(g) + 44*s(g). Let v(t) = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 14  (b) -4639  (c) -55  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**2 - 21*u + 1350.\nAnswer: -3*(u - 18)*(u + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 167*w**2 + 4*w + 10 - 210*w**2 - 8 - 3*w in the form u*w**2 + a*w + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -v + 7, 16*h + 18 = 21*h + 2*v. Which is the nearest to 0?  (a) -5\/4  (b) -9  (c) -0.09  (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b - 6. Let n be m(-7). Let v(o) = o**2 + 3*o - 3 + 3 - 4*o - n + o**3. Give v(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -181\/285 + -3\/95. Which is the biggest value?  (a) 10  (b) -0.1  (c) k  (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -2 - (-1 - 0 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -170, -2 in decreasing order.\nAnswer: 2, -2, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d - 2*q = -2*d - 1282, 3*q - 323 = -d. Suppose -59 + d = u. List the prime factors of u.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -3, 68 in decreasing order.\nAnswer: 68, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (4 - 3) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 38446917 and 894?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 25*q**5\/3 + 91*q**4 + 584*q**3\/3.\nAnswer: q**3*(q + 8)*(25*q + 73)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -8*m - 1. Let b be j(-1). Let v be b\/(-2)*12\/(-21). Solve -v*w + x + 4 - 2 = 0, 0 = -2*x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c - 6*f = -192, 19*c + 96 = 39*f - 36*f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*d + d + 2*d - 4)*(-2*d**2 + 3*d**2 - 3*d**2)*(-14*d**2 - 1107 + 1107).\nAnswer: -28*d**5 - 112*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -2340375, -2340376, -2340379, -2340384, -2340391, -2340400, -2340411?\n\"Answer: -l**2 + 2*l - 2340376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hsss. Give prob of picking 2 s.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 7814.48ng in grams?\nAnswer: 0.00000781448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 531 - 375 = -12*g for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 2*f**3 + 6*f**2 + 68*f + 56. Let z(m) = 17*m**2 - 31*m**2 + 16*m**2 + m**3 + 19 + 23*m. Let v(n) = 3*t(n) - 8*z(n). Factor v(y).\nAnswer: -2*(y - 4)*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 75 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -10*m - 7. Suppose 0 = -3*a - 9. Let v be y(a). Let u = 103 + -34. What is the highest common factor of v and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -392 + 742. Let f = x - -27. Does 19 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 693 and 579843?\nAnswer: 4058901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 1267.797  (b) -1\/4  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -231 (base 6) to base 14\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -24 + 28. Suppose 0 = 3*d + f*u + 30, 5*u = d + d - 3. Let v(r) = -13*r + 18. List the prime factors of v(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -15*h**2 - 1043*h - 552. Let j be c(-69). Find u such that -u**2 + u**4 + 0*u + 1\/2*u**5 + j - 1\/2*u**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -35*k**4 + 1 - k**2 + k + 39*k**4 - 4 + 1 to the form o*k**3 + d*k**4 + j*k + u*k**2 + a and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 171456?\nAnswer: 2, 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 3*l**3 + 2*l**2 - l + 1. Let o be r(-2). Let u = 13 + o. Let a = 15 + u. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q = -5*q + 20. Let u be ((-1)\/2 - -2)*2. Put -2, q, u in decreasing order.\nAnswer: q, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that q**3\/2 + 14755*q**2\/2 - 59041*q\/2 - 73795\/2 = 0.\nAnswer: -14759, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 7324.16 rounded to the nearest 100?\nAnswer: 7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -4*l**2 + 3 + 4*l**2 + 2*l - l**3. Let f = -4 - -2. What are the prime factors of m(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = -w + 8, 5*w + 5*v = 108 - 38. Suppose 3*f - 3*t + 2 = -7, -5*f = 3*t - w. Is (-76)\/8*(f - 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 45063 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -773 - -1?\nAnswer: -772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 24\/(-10)*(-150)\/60\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2361440 or 2361508?\nAnswer: 2361440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1725 and 300?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n**2 + 91*n\/4 + 33\/4 = 0.\nAnswer: -11, -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -2*o - 4. Let r be (-38)\/(-14) + (-6)\/(-21). Suppose -4 = -r*c + 8. Suppose 3 - 19 = c*q. What is v(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 * -63.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*o + 2*l, -3*o - 6*l - 15 = -l. Let c = o - -32. Solve c = -4*z + 4*n, -2 = 3*n - 11 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 210*n = 762 - 2062 - 1010 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the third derivative of -61*u**4\/24 + 5*u**2. Let s(c) = -2*c**2. Determine j(s(i)).\nAnswer: 122*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13775*y**3 - 89*y - 47 wrt y?\nAnswer: 82650*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/(288\/(-56))*(-7)\/2352*-4.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 2801 - 2*p**2 + 3*p**2 - 3*p**2 - 2801. Let d(r) = 32*r + 2. Give t(d(c)).\nAnswer: -2048*c**2 - 256*c - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1849453 to the power of 1\/2, to the nearest integer?\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 188386326 to the power of 1\/2, to the nearest integer?\nAnswer: 13725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u + 2*u - 126*u**3 + u**2 - 3*u + 3*u. Let f be d(-1). Calculate the greatest common divisor of 14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -136*z**4 - 7*z**3 - 30*z**2 - 33901*z wrt z.\nAnswer: -1632*z**2 - 42*z - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 12036668641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the third derivative of r**6\/120 - r**5\/10 + 7*r**4\/24 - r**3\/3 + r**2. Let v be y(5). Is v*3 - -2 - 0 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11503158851160 - -6.\nAnswer: -11503158851154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 115 + -189*(-128)\/(-3456).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -997 - -900. Let z be (2 + (-42)\/18)\/1. What is the nearest to -1\/4 in z, -2\/3, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/z**(-2\/5))**(-2\/7)\/(z*z*z**(4\/7)*z**(-1\/5)))**(-6))**22 assuming z is positive.\nAnswer: z**(12804\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**3\/11 + 56*y**2\/11 - 882*y\/11 - 936\/11.\nAnswer: 2*(y - 12)*(y + 1)*(y + 39)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 73612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s + 2 = 2*c, 4*c = -c - 5*s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5 and 6915.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1501853735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h = -2*z - 23, z + 6*h - 2*h - 16 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6859\/3 + 7942\/3*w + 1\/3*w**4 + 58\/3*w**3 + 380*w**2.\nAnswer: (w + 1)*(w + 19)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -20 at least -42.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 232 and 928.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0\/(6\/1*(-17)\/51)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -t - 356, -7*a + 4*a - 4*t = -1082. Suppose 5*j - 451 = 3*s, -5*j + a = -j - s. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 189 = 5*a + 219 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 679 = 102. Let c = s + -553. What is the remainder when 382 is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 88253294 to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(90)\/sqrt(2) - (5 + (sqrt(5)*2 - sqrt(5))))**2.\nAnswer: -20*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-a + a + 2*a**3)*(-a - a + 0*a) - 2*a**4 + 0*a**2 + 0*a**2 + 2)*(4*a - a - 5*a).\nAnswer: 12*a**5 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 759489?\nAnswer: 3, 383, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3 + -3. Suppose -5*z + 48 - 3 = b. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l - 3*q - 20, 0*q - 24 = -4*l + 4*q. Factor -7 - 19 + 1915*v**l - 30*v - 1914*v**2 - 5.\nAnswer: (v - 31)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.156 + 3.844. Let m(p) = 2*p**3 + 10*p**2 - 11*p + 7. Let s be m(-6). Let j be 0 - (s + (-20)\/44). Put 2, i, j in descending order.\nAnswer: i, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1632633104 to the nearest integer?\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 285943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 1386 to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5315510.\nAnswer: 2, 5, 531551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -115*b - 19. Is a(-6) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -33945, -32678, -30565, -27606?\nAnswer: -23801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 178420196 and 268.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes after 9:55 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7203*j - 1704 + 3424 - 1720 to f*j + m and give f.\nAnswer: 7203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zco when three letters picked without replacement from {f: 5, o: 2, c: 2, z: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -295, -297, -299, -301, -303?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -10.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*w**3 + 4*w**6 - 12099*w**2 + 11763*w**2 - 169*w**5 - 2*w**3 - 2*w**6 wrt w?\nAnswer: 240*w**3 - 10140*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**2 + 4*b - 5. Suppose 9 = 3*q, -11*q = -2*f - 13*q - 4. Let w(y) = y**2 + 2*y - 3. Calculate f*w(o) + 3*h(o).\nAnswer: -2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 1731 = -2407. What is the remainder when w is divided by 38?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6038 + 11440. Does 146 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21*p + 41*p + 15*p)*((0 - 2 + 1)*(-5*p**2 + 3*p**2 + 6*p**2) + 3*p**2 - 4*p**2 + 4*p**2) + 4*p**2 - 4*p**2 + 4*p**3.\nAnswer: -73*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13.19 + 13. Let a = 0.3 + -0.31. Let k = a + o. What is the third biggest value in k, -2\/7, 2\/9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**2)\/(p**(-3\/23)\/p) assuming p is positive.\nAnswer: p**(95\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 5 = 5*t, -5*q + t = -1 - 24. Let u = 14 + -8. What is the lowest common multiple of q and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1121012022021 (base 3) in base 14?\nAnswer: 181bd3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8.5 in -0.3, 2\/13, 2, 3\/32, 1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6954000 rounded to the nearest 100000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.5  (b) 1  (c) -3\/5  (d) -0.044\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 171785?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 548 - 1367 = 61*d + 1804 for d.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Do -190\/271 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 5 + (-14 - -19) + 1 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**2 + 96*k + 3167. Give n(122).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 454*g + 6105. What is d(-14)?\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 100*u - 807. Determine r(7).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 263290, 263292, 263294, 263296, 263298, 263300?\nAnswer: 263302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 34*q + 37*q + 31*q + q**3 - 4 - 8*q**2 - 97*q + 13. Give h(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 55 and (((-210)\/9)\/7)\/(4\/(-846)).\nAnswer: 7755","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 8 = -6. Solve -3*d = -o - 11, y*d = -4*o - d - 14 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5284137l in millilitres?\nAnswer: 528.4137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 144 and 522?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:33 PM and 1:26 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1 + 6505a1a?\nAnswer: 6505a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12131 = -342*t - 1047*t - 678*t - 76750 for t.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-1\/3)*a**(-2)\/a*(a*a**(2\/11))\/((a**(-2)*a)\/a))**28)**(-34) assuming a is positive.\nAnswer: a**(4760\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -37, 3, -8, 5.\nAnswer: -37, -8, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the first derivative of 4\/15*x**3 - 1\/10*x**4 - 49 + 3*x**2 - 72\/5*x. Factor l(y).\nAnswer: -2*(y - 3)**2*(y + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 5*m**2 - 3*m + 18. Let z(c) = -14*c**2 + 10*c - 55. Let h(g) = -17*o(g) - 6*z(g). Let f be h(-11). What is the units digit of 171\/(-12)*-6*f\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -35 and 33.\nAnswer: -1155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 - -6. Suppose p*j - 10 = -2*j. Let y(m) = -m**j + 4 - 4. Let i(u) = 2*u**2. Determine y(i(z)).\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 + 43. Let p(n) = -n**3 - 10*n**2 + 9*n - 14. Let t be p(-11). Let c = y - t. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 17 + 15 = 2*o, 4*m + 5 = -5*o. Let l be ((-65)\/(-39))\/(o\/(-3)). What is the closest to -3 in 0.5, -2, l, 20?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 1 + 3)*(47*t + 29*t - 45*t)*(3 + 1 - 7)*(3*t**3 - 2*t**3 - 2*t**3).\nAnswer: -93*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - 13 - (-8 - (-5 + 14 - 13)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 10779604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from yjjyjbjbj?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 3331, 3330, 3329, 3328?\n\"Answer: -g + 3332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8, 12, 8, -10, -48?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 16 and 2232.\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**3 + 7*q**2 + 10. Let l = 4 - 4. Let f be (1 + -8)*(l + 1). What is the smallest common multiple of 2 and t(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes before 5:53 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = z + 59. Let y = -36 - z. Which is smaller: -1\/63 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, r: 10, c: 1, t: 2}. Give prob of picking 1 z and 1 c.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -4, 4, 1 in descending order.\nAnswer: 4, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -4*c + 4*d + 23, -12 = -c - 5*d. Solve -69*y = -70*y + c for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -8*i + 2. Let j be i\/(2\/(270\/(-3))). Is 12 a factor of ((-4)\/(-5))\/((4 + -1)\/j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Round 3.37082051 to three decimal places.\nAnswer: 3.371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**3 - 9*r**2 + 8*r - 11. What is i(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (10\/(-6))\/((-55)\/198). Suppose 9*l = v*l - 114. What is the remainder when -4 - -6 - (-1 + l) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 20 or -0.191?\nAnswer: -0.191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (22*l - 8*l + 0*l)*(9 - 4 + 12 + 11 - 5 + 2 + (-3 + 1 + 0)*(-6 + 4 + 1)).\nAnswer: 378*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -3, 323.422, -0.2.\nAnswer: -3, -0.4, -0.2, 323.422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*l*p**2*u + 179*l*u + 68*l + 7*p**2 - 2*u wrt u?\nAnswer: 3*l*p**2 + 179*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -237, 3, -1306, -2, 5 in descending order.\nAnswer: 5, 3, -2, -237, -1306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 25 = -5*h, -2*h - g = 2 - 12. Suppose 2*p = -0*p + 4. Suppose 10 = -p*q, 0 = h*x - 2*q + 7*q - 340. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -156226*p**4 + 23*p**3 + 13543*p**2 - 136 wrt p?\nAnswer: -3749424*p + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 11644069, 23288135, 34932201, 46576267?\n\"Answer: 11644066*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 26 + -11. Solve -2*n + 5*n = j for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 448 by 52.\nAnswer: 112\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-40)\/270*(-270)\/(-60)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -2*g**2. Let h be ((-14)\/(-4))\/((-1)\/(-2)). Let z(y) be the second derivative of -h*y - 27*y**3 + 26*y**3 - y. What is z(l(s))?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -75*k**4 - 15*k**4 - 41*k**4 + (k**4 + 2*k**4 - k**4)*(-2 + 0 + 1) + k**4 - 2*k + 2*k.\nAnswer: -132*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 10716860723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/5*90\/36*3\/27\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 92 or 179?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2535\/596 + 1\/298. Calculate the common denominator of -36\/11 and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 189 and 1050441?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p + 11 - 3 = 4*k, 3 = p + 2*k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11 + -10. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 13 + 70?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 270*t - 3077. Calculate k(11).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 x when two letters picked without replacement from vggxgggggvgvggg?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 1131.\nAnswer: -1\/377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:08 PM and 2:37 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00135846744 rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m - 5*m + 3*m)*(1 + 0 - 3)*(6 - 3 + 1).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**2 + 13*q + 61. Let r be a(-8). Solve 2 = r*n - 23*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of w**2 - 469*w - 80274 - 2*w**2 + 78507 wrt w?\nAnswer: -2*w - 469","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -115 + 101.6. Let u = -13 - z. Sort u, 1\/3, -3, 4 in descending order.\nAnswer: 4, u, 1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 51748637?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-4 + 5 + 16)*(2 - 3 - 1) - 3 - 1 - 1)*(v**3 + 0*v**3 + v**3)*(4 - 3 + 0) as n*v + c + t*v**3 + z*v**2 and give t.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00007873951 to six dps.\nAnswer: -0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -13143 + 104?\nAnswer: -13035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3336440 + 0?\nAnswer: 3336440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 2*b**2 + 18*b + 4. Calculate the least common multiple of 54 + (-18)\/(4 + -10) and w(-10).\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 7*b = 2. Let o be 0\/(2 - (6 + b)). Let s be 1 + (-1 - 0) - -12. Solve -s = 3*m - 5*q, -3*q + o = -2*m - 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.9042 + -1.9. Round u to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3540?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = 2*p + 8. Suppose z = -4*l + 9, p*z + 2*l - l = -9. What is the units digit of (-2)\/(-3) - 13\/z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 - -6203011?\nAnswer: 6203005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(11) + 0 + sqrt(275) - (4*(sqrt(11) + 2))**2.\nAnswer: -240 - 58*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -32 + 104. Suppose -5*n + 171 = 3*s, -n + 23 = -s + v. Suppose -3*x - 2*l = -0*l - s, 0 = -l + 2. What is the smallest common multiple of x and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 * -1291.\nAnswer: 645.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 7*s + 13 + 17 - 20*s - 29*s**2 + 11 - 43. Let f(o) = 9*o**2 + 4*o + 1. Let r(i) = -7*f(i) - 2*j(i). What is r(-2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 692221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -247120000 to the nearest one million.\nAnswer: -247000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mpi when three letters picked without replacement from {p: 1, f: 1, v: 1, i: 2, m: 1, c: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 112124602 to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -159 - -1275\/8. Which is the smallest value?  (a) 3  (b) -4  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1187805135738 less than 0?\nAnswer: 1187805135738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 + 1. Let c be (1 - -2)\/(3 + z). Suppose -k = 5*u - 21, 3*u - c = -3*k - 0*k. What is the biggest value in k, 5, 0.04?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2b6a3b0 (base 12) in base 13?\nAnswer: -1aabb05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20 divided by 78.\nAnswer: -10\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5653 + 62239\/11. Calculate the common denominator of f and 119\/160.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/(-18) + -130*4\/(-72). Suppose k*r - 1737 = 174. What are the prime factors of r?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 10c7 (base 14) to base 3\nAnswer: 11000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2.3, 15741, -197?\nAnswer: -197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*u, 4*u = -2*j + 10 + 6. Suppose j*d = k + 82, -5*d + 165 = -k - k. Calculate the remainder when 28 is divided by 3\/2*k\/(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.044 and -16.\nAnswer: -0.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 213*x + 4902. Let j be v(-23). Suppose 2*f + 5*k = -f + 8, -4*k = 8. Calculate the greatest common factor of f and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -308457, -616944, -925431, -1233918, -1542405, -1850892?\nAnswer: -2159379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 472.7545 kilometers?\nAnswer: 472754.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j = -2, -3*i = 92*j - 93*j + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -12110 (base 3) in base 16?\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 11 = -1. Suppose -133 = 5*j - 463. What are the prime factors of j\/c - 1\/(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express f**4 + 3*f**3 + 0*f**4 + 1 + f**3 + f**3 as d*f + j*f**4 + t + s*f**2 + z*f**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.26157g to nanograms.\nAnswer: 2261570000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 11383097?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7623334*v**2 + 66569904*v.\nAnswer: -15246668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the third derivative of w**5\/120 + 5*w**4\/24 - w**3\/3 + 5*w**2. Let l(n) be the first derivative of g(n). Is l(7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2496*n + 2497*n - 3*z = 2, -5*n - 3*z = -10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3110 + -3109.6. Let w = -0.1 - -0.2. What is the nearest to y in 1\/2, w, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x + 9. What is the remainder when 21 is divided by k(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32\/(-20) + (-51)\/(-30).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 1, 1.3, 5, 1\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**6\/y)**(-2\/53) assuming y is positive.\nAnswer: y**(-10\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.019 and 5.\nAnswer: 0.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 - 5842b9?\nAnswer: -5842bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -166440 from -28.7877983.\nAnswer: 166411.2122017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = -5*r - s, 3*r + 3*s = 2*s - 19. Let j(w) = -w**3 - 6*w**2. Determine j(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24521 is divided by 481.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 140, 176, 262, 422, 680, 1060, 1586?\nAnswer: 2282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -196b601 + 25?\nAnswer: -196b598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1993, -1142, -291?\nAnswer: 560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o**3 + 16*o**2 + 13*o - 19. Let v be l(16). Is v at least as big as 188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:50 PM and 9:46 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -120*k**3 + k**2 - 9*k + 20. Suppose -312 - 136 = -7*m. Let v = -59 + m. Let g be n(v). What is g rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/251592 and 1\/20.\nAnswer: 1257960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -121042303 (base 5) to base 11\nAnswer: -356815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**2 + 52*b + 332. Give w(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*n + 24 = -24. Put 15, n, -4, 4 in increasing order.\nAnswer: -4, n, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = 4*q. Suppose 0 = 3*t - 0*p + 3*p - 39, t - 4*p - 8 = q. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 3*o**3 + 4*o**2 - 7*o. Let p(a) = -2*a**3 - 3*a**2 + 5*a. Let k(h) = 7*p(h) + 5*u(h). Calculate k(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 9 - (2 - 6)\/(-4). Suppose 8*i = 4*i + s. Suppose 0*f = -i*f + 822. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.81*-21\nAnswer: -38.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -130030 at most as big as 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*l - 7*l = 18. What is the remainder when l is divided by -1 - -2*(-11)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 18211933*c - 854027 wrt c.\nAnswer: 18211933","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-20)\/(-30))\/(1\/3). Find the second derivative of -17*w**d - 18*w**2 - 2*w**4 - 140*w + 96*w wrt w.\nAnswer: -24*w**2 - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let x = -77.2 - -69. Let q = -1.2 - x. Suppose -11 = 3*a - 0*p + 4*p, 0 = -3*p - 6. Which is smaller: q or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pupppoov. What is prob of sequence ou?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -26 + -0.1795.\nAnswer: -26.1795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-5)\/(-30))\/((-28)\/(-5348952)) a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13606 is divided by 139.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 979171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*i**3 - 316*i**2 - 242*i**2 - 14*i**3 + 5*i**3.\nAnswer: 2*i**3 - 558*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 90 is divided by 66.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 80556514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 88 = 3*l + 4*d, -3*d - 59 = 64*l - 68*l. Calculate the greatest common factor of l and 7190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the first derivative of f**4\/4 + 17*f**3\/3 + 15*f**2\/2 - 6*f - 8. Let d be r(-16). Suppose m + m - d = 0. Let w(q) = -q + 7. Calculate w(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 233677 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 6819*i + 27811. Give k(-4).\nAnswer: 535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 4*m**3 - 2*m. Let j(h) = -5*h**3 + 4*h - h + 0 + 1 + 0*h**3. Let t(k) = -5*k - 5. Let v be t(-2). Suppose 10 = -v*o - 0*o. What is o*j(u) - 3*x(u)?\nAnswer: -2*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6542982 and 28548.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -4*l - 13 - 15, 3*l = -3*u. Let m(c) = -c**2 - 7*c + 10. Let a be m(-9). Let d = l - a. What is the remainder when 19 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*r**4\/4 - 27*r**3 - 87*r**2\/4 - 9*r\/2 = 0. What is r?\nAnswer: -3, -2\/3, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/(r**(-1)\/r*r)*r)\/r)**(3\/32))**(-7)\/(r**(1\/2)*r**3*r**(2\/15)*r*r**(-1\/6)*r) assuming r is positive.\nAnswer: r**(-1627\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is c in 3394146*c**3 + 20364868*c**2\/3 + 10182422*c\/3 - 8\/3 = 0?\nAnswer: -1, 4\/5091219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 2 x when three letters picked without replacement from azxx?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in 0.01, 3\/8, -0.3, 154\/925?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 3*f = -5*b + 1413, -1411 = -5*b + 4*f. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -557 > -556?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 + 1553423?\nAnswer: 1553416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*z - 11062 + 11012 = 0. Solve -o + 16 = -z*m, 8*m = 7*m - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -175 - -471. Calculate the remainder when t is divided by 61.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/17, -0.6, 0.19, 0.3 in descending order.\nAnswer: 0.3, 0.19, 2\/17, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*n**2 - 313*n + 70.\nAnswer: -(n + 35)*(9*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 4) + (4 - -1 - 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 0)*(-1 + 0 - 1)*(-8*i + 26*i + 1754 - 1751).\nAnswer: 72*i + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*c - 12*c - 570 = 1310 for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 + -4. Let m be (-2 + k)*(-5)\/(-4). Which is the third biggest value?  (a) -1\/3  (b) -1\/4  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the second derivative of r**6\/120 - 143*r**5\/16 - 717*r**4\/16 - 2153*r**3\/24 - 359*r**2\/4 - 7*r - 28. Factor n(p).\nAnswer: (p - 718)*(p + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l**2 + 4*l + 1. Calculate o(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -19 + 14. Let v(u) be the third derivative of 5*u**4\/24 - 10*u**2. Let n(g) = -14*g. Let j(f) = -6*n(f) - 17*v(f). Determine j(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 65389940 to the power of 1\/2, to the nearest integer?\nAnswer: 8086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:38 PM and 7:42 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 61, -1, 0, -6.\nAnswer: -6, -1, 0, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 538\/5 at most as big as 107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 - 8c925?\nAnswer: -8c928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 664228 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 206*a**2 + 78*a.\nAnswer: 412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -599, -2385, -5361, -9527, -14883, -21429, -29165?\nAnswer: -38091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3*-15)\/3*6. Let q be ((-4)\/10)\/(6\/n). Factor 3*j**2 + q*j + j**2 - 4*j.\nAnswer: 2*j*(2*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -5  (b) 0.2  (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*c**2 - 3414 + 3414 + 18*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 130*n**2 + 18*n - 32. Let v(t) = -387*t**2 - 60*t + 97. Determine 10*a(z) + 3*v(z).\nAnswer: 139*z**2 - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 4 = 3*w. Let p(n) = 2*n + w*n + 42*n. Let o(c) = -c. What is p(o(f))?\nAnswer: -46*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 * -231992.\nAnswer: 92796.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 - -7. Let n = f + -4. What is the smallest value in -0.3, n, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*n**3 + 11612804*n**2\/3 + 624338536296*n - 138742088112.\nAnswer: 2*(n + 322578)**2*(9*n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12 (base 3) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2288 * -13\nAnswer: -29744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qrrlqqmcyryrmmr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**3 - 19*v**2 - 14*v + 39. Let g be o(-19). Calculate the greatest common divisor of 61 and g.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4962*n + 1903*n = 48944 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11\/8679547 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -945 - -3797\/4. What is the common denominator of 1*-87*(-2)\/16 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 + 12*u**3 - 5)*(148 + 3 - 75 + 249) as h*u**2 + s + a*u**3 + w*u and give a.\nAnswer: 3900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 272\/(-40) - 4 - 1554\/370.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 92*d**2 + 136*d**2 + 60*d**2 + d.\nAnswer: 288*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2660 - 873. Let k = p - 19633\/11. What is the common denominator of -11\/7 and k?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/(-2) + 298508\/(-147). Is z at most -2029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -110400 = 110886*o - 112358*o for o.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2244168 is divided by 98?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3.2 + 9.8. Let c = -2.5 + 2. Let z = 27 + -27.1. What is the biggest value in z, u, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -23 < -151\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 + -3. Let v(h) = 0*h**2 + 2*h**2 - 4 + h**3 + 4*h**2 - 8*h. Let r be v(a). Solve -c = -r*c + 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -184 = 179*y + 13 - 18. Sort 9, y, 17, 2.\nAnswer: y, 2, 9, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o = -10*x + 62, -23*x + o = -21*x - 13 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 13\/4 of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 57886 less than or equal to 57392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -4*d**2 + 34*d - 9. Let q(f) = 11*f**2 - 63*f + 21. Determine 5*i(v) + 2*q(v).\nAnswer: 2*v**2 + 44*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00004607 rounded to six dps?\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.08 + 0.38. Suppose 19*x - 18*x - 3 = 0. What is the smallest value in 2\/13, d, x, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -351, -726, -1113, -1518, -1947, -2406, -2901, -3438?\n\"Answer: -z**3 - 368*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -121*j + 113*j - 24 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:05 PM and 3:30 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 28 = -3*y. Suppose y*j - 24 = -4. Solve -12 = -j*n + 13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -56*y + 1700. Calculate d(30).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6\/(-14) + (-96)\/(-28). Let v(d) be the second derivative of d**3\/3 - 2*d**2 + 116*d + 1. Calculate v(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {p: 5, o: 8, q: 5}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 850350, 1700701, 2551052?\nAnswer: 3401403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 187*z - 6. Let v(c) = -185*c + 8. Determine -3*v(q) - 4*w(q).\nAnswer: -193*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q + 9 - 7. Let j(h) = -147 + 73 + q*h**2 + 74. Let c(p) = 53*p**2. What is c(j(o))?\nAnswer: 212*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 444*r**2 - 177*r**2 + 153*r**2. Let a(p) = 2*p. What is q(a(o))?\nAnswer: 1680*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -207b (base 12) to base 15\nAnswer: -10bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uk when two letters picked without replacement from ukqukqqlkykuuqk?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(612) + -4*(sqrt(612) + sqrt(612) + -1))*-3)**2 + 2 + -2 + 5 + (sqrt(612) + 1*sqrt(612))*-6.\nAnswer: -3096*sqrt(17) + 270041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((45\/(-9))\/(-98615))\/(5\/(-10)). Is u smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(99) + sqrt(99)*1) - (sqrt(99) + sqrt(99) + 6*-3*sqrt(99)))\/(-4*-1*sqrt(9) + sqrt(63)\/(sqrt(42)\/sqrt(6))).\nAnswer: 26*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 1006667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 24*(1 - (-13)\/(-2)). Is (-2)\/5 - d\/30 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:32 PM and 11:50 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1274, -3658, -7158, -11768, -17482, -24294, -32198, -41188?\n\"Answer: w**3 - 564*w**2 - 699*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 6 = -18. Suppose -239 = -4*o + y*s - 2*s, -s = -1. Is -1*(o\/(-3) - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1393678127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-28)*(-120)\/45.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q - 4*u + 1706 = 1710, 4*u + 4 = -4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -7\/27, -4\/9, -0.7, -3\/14 in ascending order.\nAnswer: -6, -0.7, -4\/9, -7\/27, -3\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 0.4, 0.121, -1, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**2 - 2274*s + 1277651. Give q(1014).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 + 31?\nAnswer: 2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2, -5, -3, 62\/17 in ascending order.\nAnswer: -5, -4, -3, 2, 62\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.002474 rounded to four decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -2947900 to the nearest ten thousand.\nAnswer: -2950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 105880 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3020062352 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1070 = 4*p + a + 309, 5*a - 781 = -4*p. Is p a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the second derivative of 49*s**5\/60 - 7*s**4\/12 - 4*s**3\/3 - 2*s**2\/3 + 7*s. Let v(a) = 0. Calculate a.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2*sqrt(56))\/sqrt(8) - sqrt(448)*2) + 3)**2.\nAnswer: -84*sqrt(7) + 1381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-45*i - 34*i - 289*i)*(3 + 3 - 1) - 2*i - 3*i + 4*i + (4*i - 6*i + 4*i)*(4 - 4 - 2).\nAnswer: -1845*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8755 divided by -5.\nAnswer: -1751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a day in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-15 - -11) + 1)*(-2)\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (5 - 31)*(0 - 1). Suppose 1 - k = 5*g. Let x be ((-3)\/g)\/((-6)\/15). Which is the closest to 1?  (a) -0.4  (b) 0  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3156, 12820, 28944, 51504, 80476, 115836?\nAnswer: 157560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 3*w**2 + 9*w + 6. Let b(x) = -6*x**2 - 13*x - 13. Let o(h) = -7*h**2 - 14*h - 15. Let l(m) = -4*b(m) + 3*o(m). Determine 6*f(u) - 5*l(u).\nAnswer: 3*u**2 + 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -33772, -67217, -100664, -134113, -167564, -201017?\n\"Answer: -s**2 - 33442*s - 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1029*k**3 + 1 + 501*k**3 + 489*k**3.\nAnswer: -39*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 171675092.\nAnswer: 2, 43, 998111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 + -1. Let c = 39 + -39. Let d be 6\/15 + (8\/5 - c). Solve j = -d*s + 3*m - 7, -4*s + 5*m - 13 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -15*t + 136. Give s(-15).\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 10 - (3 + (-5 - (-2 + -4)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 - 212000?\nAnswer: -211212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one twentieth of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 5*b + 1 = 0, -23 = -0*v - 5*v - 4*b. Solve -3*w = -2*o - 29 + 8, v*o - 16 = -5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 40\/15 - (-4)\/(-6). Solve 4*u + 5*o + 32 = 0, -a*u + 3*u - 1 = o for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in thirteen quarters of a second?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -18.4327 - -0.0327. Let w = v - -18.9. Which is the second biggest value?  (a) -0.049  (b) w  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand b**5 - 2*b**5 - 7*b**5 + (3*b**5 + 2*b**5 - 6*b**5)*(1 + 1 - 3) + 4*b**5 + 4*b**5 - 4*b**5.\nAnswer: -3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = -2 - 3. Let w = 2 + r. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 4, 93, 5 in descending order.\nAnswer: 93, 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 128, 124, 120?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*o + 18*o - 30 = 0. Solve -12 = o*y - y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4941785 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**0)**(-20)*(b**(2\/3))**45)\/((b\/(b*b**3)*b**(-4\/3)*b)\/(b**(-7)*(b\/((b*b**(-7\/3)\/b*b*b)\/b))\/b)) assuming b is positive.\nAnswer: b**(83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/18 and -31\/8966.\nAnswer: 80694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 344515 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5729 is divided by 669.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -44\/3 + 15. Let n(w) be the first derivative of 0*w**2 + 1 + y*w**3 + 1\/4*w**4 + 0*w. Find the third derivative of n(a) wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k - 8*k + 20. Suppose -k*x + 16 = -36. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 53694 and 131621892.\nAnswer: 394865676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1578\/31, -1\/3, 1, -21.\nAnswer: -21, -1\/3, 1, 1578\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.2735499327 to 2 decimal places.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 17001*f + 17701*f - 4277 - 33168*f wrt f.\nAnswer: 1534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 44, 47, 60, 89, 140, 219, 332, 485?\n\"Answer: x**3 - x**2 - x + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((44\/(-8))\/11)\/(1\/(-12)). Let k(g) = g - 6*g**2 + 0*g + g**3 + 6 + 2*g. What is the remainder when k(p) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12306 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 5117 = q - 22997, 2*k = -q + 7152. Let t = -1967 + k. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 171993439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the first derivative of -2*s**3\/3 - 2*s**2 - 2*s - 1207. Factor w(q).\nAnswer: -2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -159 = -6*u + 159. Suppose s - 384 + u = 0. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 129641784.\nAnswer: 2, 3, 37, 67, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 + -1. Let x(q) = -2*q - 6. Let p be x(j). Suppose b = 4, -7*g + 3*g - 24 = -p*b. What is g rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -71661 = -2792*f + 25304*f + 18387 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xgkkqfd. What is prob of sequence kq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -10*p + 50. Give f(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.98 - 0.02. What is the closest to -2\/35 in u, 0.1, 1\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.7, -84, 1\/2, 0.6, 1\/11 in increasing order.\nAnswer: -84, 1\/11, 1\/2, 0.6, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1\/1812 + -1211\/5436. What is the third biggest value in -49, c, 0?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.005378208 rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (22\/(-55))\/((-2)\/(-5)). Which is smaller: -24\/17 or a?\nAnswer: -24\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 199 = 2*p - 2802, 0 = o + 3. What are the prime factors of p?\nAnswer: 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 471.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 2680, -4, 352.\nAnswer: -4, 2, 352, 2680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 46\/19 and 46\/7.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**2\/13 + 7232*q\/13 - 6537728\/13.\nAnswer: -2*(q - 1808)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1925 and 5940.\nAnswer: 207900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19171422?\nAnswer: 2, 3, 229, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is two sevenths of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-6*(-4*sqrt(156)*-1 - sqrt(156)))\/((sqrt(72) + ((sqrt(72)*2 - sqrt(72)) + sqrt(72))*1 + sqrt(72))\/(sqrt(486)*2)).\nAnswer: -486*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -58 divided by -4.\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 797, 792, 789, 788, 789, 792, 797?\nAnswer: 804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22 (base 3) to base 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 57006 = -2*x, 2*m = -m - 3*x + 57009. Round m to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the second derivative of -22*b**3\/3 + 3*b**2\/2 + 4*b. What are the prime factors of o(-1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 5698*j - 57270. What is v(10)?\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 14374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*f + 55266 + 55285 - 110551.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 4\/3  (b) 2\/13  (c) -23  (d) 2\/11  (e) -142\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 6384199 from -2268177.36.\nAnswer: -8652376.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12870 is divided by 677.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 + -1)\/(-1) + 0. Let u = r - -2. Solve 2*c - 4*x + 12 = 0, -u*c - 3*x = -x + 14 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.326 rounded to two dps?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the third derivative of 47*l**5\/12 - l**4\/4 - l**3\/6 - 3*l**2 + 16*l. Find the second derivative of z(h) wrt h.\nAnswer: 470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 8. Suppose 2*x - 175 = -u*t + 6*x, -3*x = 0. Let q be (-8)\/t*(-10)\/4. Is 0 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that 2*r**2\/13 + 21460*r\/13 + 8250 = 0.\nAnswer: -10725, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - (-11 + 4 + -1 + (19 - -5))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -101 + 104. Let u be 126\/12*(5 - d). Differentiate 19 - 56 + 3*x**4 + u + 17 wrt x.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 166750.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*n + 18*n = 1630. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(-6)*g)**16)**(2\/19) assuming g is positive.\nAnswer: g**(-128\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -4, 39, -0.3 in ascending order.\nAnswer: -4, -0.3, 8, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 33 (base 4) to base 8\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(5 + -4 + -3 + (sqrt(125) - (-1 + sqrt(125))) + sqrt(125) + (sqrt(125) - (sqrt(125) + 1 + sqrt(125) + -5))) + -5)**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1728)\/(-28) - 6\/(-21). Let k = p + -58. Suppose 2*w = -5*a - 3*w + 50, 58 = k*a - 5*w. What is the greatest common divisor of 48 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = 7 + 1. Suppose -12 = 4*n, t*b + 4*n + 20 = -2*b. What is the second smallest value in -0.01, b, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10 + 22. Suppose 2*t + 2 = l. Suppose -23 + 68 = t*q. Solve 3*d - 5 = -2*d, 2*m = -d - q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 2*k**3 - 19*k**2 - 38*k + 282. Let r be w(10). Which is the closest to 0.1?  (a) -1  (b) -529  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 20*d + 80. Let a be m(-4). Suppose 3*t = 6*t - 30. Solve 5*z + t = -a*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -29 + 92. Suppose i = 4*v - 121, 0*v - 3*i = -2*v + f. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i - 2*u - 1818, -2732 = -13*i + 16*i + 2*u. Which is bigger: i or -906?\nAnswer: -906","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -436 - -208. Sort g, 1, -0.2.\nAnswer: g, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1631?\nAnswer: 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m + 13. What is the units digit of l(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 459223608.\nAnswer: 2, 3, 97, 197261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 26 = -194. Suppose -3 = 5*u - c. Let k = 48 - u. Calculate the greatest common divisor of 165 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f**5\/4 + 2391*f**4\/4 - 423951*f**3\/4 - 358343283*f**2\/4 + 16933205910*f - 16843514700 = 0. What is f?\nAnswer: -635, 1, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (422*q**4 + 120*q**4 - 134*q**4)*(15 + 9 - 14).\nAnswer: 4080*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 104098*y. Let g(o) = -2*o**2. Calculate l(g(n)).\nAnswer: -208196*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -112, -390, -862, -1534, -2412, -3502, -4810?\n\"Answer: -h**3 - 91*h**2 + 2*h - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -84, -62, -28, 24, 100, 206, 348, 532?\nAnswer: 764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 + 204?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 2*v**2 + 4*v + 1. Let c = -205 + 204. Let q be (c - -4)\/((-2)\/(-2)). Give y(q).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -452 + 451.75. Which is the smallest value?  (a) -0.4  (b) 1\/6  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 2*a**3 - 5*a**2 + 5*a - 6. Let d(z) = -4*z**3 + 11*z**2 - 10*z + 12. Let g(o) = 3*d(o) + 5*l(o). Let x be g(7). Is 18 a factor of x\/(-6) - 3\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 60 + -64. Let j(s) be the first derivative of -1 - 3\/2*s**2 - 6*s. Calculate j(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:11 AM and 8:40 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2348 - -2346. Let o = 3.04 - 0.04. Let y = o - 0. What is the fourth biggest value in 4, y, m, 1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 3*r**2. Let d(y) = 293*y - 1. Calculate d(p(j)).\nAnswer: 879*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + u - 9 = 0, -3*q - 3*u = -q - 7. Let o = 1 + q. Factor l**3 + o*l**3 - 2*l**3 + 2*l**2.\nAnswer: 2*l**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -3\/1087?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 4, f: 1, s: 3}. What is prob of picking 1 f and 3 s?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -696 divided by 3196?\nAnswer: -174\/799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 10 = -4*g, 3*n + 2*g + 0*g = 5. Is n equal to 19\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4446 - -4497. Calculate the remainder when 1524 is divided by z.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58 = -64*f - 250 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 2*q + 2)*(3 - 3 + 2) - 16*q + 2*q + 45*q + (-4 + 2 + 4)*(q - 3*q + 0*q) + 2*q - 3*q - q to the form c + o*q and give o.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -36 - -39. Suppose 0 = -3*p - p - x*a + 2723, 15 = -5*a. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(-4)*48\/(-20). Let d(y) = y**3 - 22*y**2 + 41*y - 23. Let x be d(20). Let v = 0.1 - -4.9. What is the nearest to -0.3 in v, x, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -289 + 288. Let h(a) = a + 5. Let y be h(-5). Sort t, -4, y in ascending order.\nAnswer: -4, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 14794 and 1686230?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the second derivative of p**7\/168 + p**6\/60 - 3*p**5\/80 - p**4\/6 - p**3\/6 + 21*p. Solve i(t) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4 and -0.73?\nAnswer: -2.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 145\/13 + -3253\/273. Calculate the common denominator of y and 89\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2*(1 + -2 + 2). Suppose 4*r - 18 = 5*v, -2*v = 5*r - 2 - 4. Let m(h) = 4*h**2 - 3*h**r + 0*h**o - 5*h - 6. Let k(y) = y + 1. What is 4*k(x) + m(x)?\nAnswer: x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2188 - -2186. Which is the biggest value?  (a) -0.3  (b) 1\/5  (c) -1\/4  (d) 0.4  (e) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*p**4 - 115*p**3 - 8141*p**2 - 27433349*p?\nAnswer: 36*p**2 - 690*p - 16282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*m - 169 + 103. Solve b = 5*y - 15 + m, 1 = y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**3 - 80*b**2 + 290*b + 789. Determine w(76).\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.13 times -1376987?\nAnswer: -179008.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2928\/5 - 578. Let a = -62 - -71. Which is greater: y or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes before 9:03 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 37296*m. Let l(d) = -8077*d**2. What is l(z(v))?\nAnswer: -11235039282432*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.552 >= 62740?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3311 is divided by 278.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b**3 - 10*b**2 + 10*b - 9. Let r be n(9). Suppose 5*s - 465 + 80 = r. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -4*c + 20, -4*c - 2*s + 14 = -3*s. Solve -4*w - 20 + c = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 3*k - 174 = -8*k, s - 142 = 3*k. Let c = 172 - s. Solve 4*g - 3*q + 2*q = 22, 2*g - 4*q - c = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p - 55 = -51 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 659*j - 714*j = 110 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w + 0*w**3 - w**3 + 0*w + 2*w**2 - 21 + 22. Let l be z(-2). Which is smaller: 18 or l?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.04?  (a) -3  (b) -252.7  (c) -5  (d) -34.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/5600*56\/8?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -206 (base 14) to base 8\nAnswer: -616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -55 - -59. Suppose 4*l - c + 5 - 24 = 0, 3*l - 24 = r*c. Suppose l*q = -3*h + 6221, 2*q + 3*q - 2*h = 7805. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence twvq when four letters picked without replacement from {w: 1, v: 1, q: 1, t: 1, r: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 89*g**2 - 160*g**2 + 5 + 9*g + 77*g**2 + 2 to s*g**2 + r*g + z and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2072, -4474, -7202, -10244, -13588, -17222, -21134, -25312?\nAnswer: -29744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/(-14) + (-897)\/(-28). Let p = -32 + a. What is the biggest value in p, 0.5, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2448) - sqrt(2448)*4) + sqrt(2448))*3.\nAnswer: -72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*t - 2*t + 32. What is the common denominator of -15 and 1\/(-4) - 692\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 2*g**3 - 373*g**2 - 516*g - 8961. Give p(188).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -627654 to the nearest ten thousand.\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/(-20))\/((-4)\/10). Suppose -2*q - p - 3*p = 4, 3*p + 25 = 4*q. Let h(o) = o**3 + 5*o**2 - 5*o + 7. Let b be h(-6). Sort q, v, b in increasing order.\nAnswer: v, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 3*r - 2*g + 8 = 0, 5*r + 2*g = 20. Suppose 100 = -r*z - 8. Let y = -59 - z. Which is the smallest value?  (a) 1  (b) y  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (126\/(-8))\/(-7)*(-136)\/51?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y = -3*d - 24, -5*y + 2429 = -19*d + 2361 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 21 + -1. Let t = -29 + b. Let v = t + 23. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 39 and 75777.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -36000 divided by -120\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/27 and 10\/49684023.\nAnswer: 49684023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1139)\/(-85) + -13 - (-2)\/(-30)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3)*-2 - sqrt(3)) + 4 + sqrt(18)\/sqrt(150) + 1.\nAnswer: -14*sqrt(3)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -4 + 3. Let a be (-4)\/(-8)*u*8. Let g(h) = h**2 + 7*h - 102. Let l be g(-17). Calculate the greatest common divisor of a and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -78*k - 139. Let w be r(-8). Let g = 746 - w. Is 20 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, h: 4, i: 8}. Give prob of picking 3 i.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -59635*((-148)\/80 + (-45)\/(-36)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 170644836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3424736*g**2 - 22500917.\nAnswer: 6849472*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7798 - 19222 = -28*c. Suppose 4*y = 3*z + 1264, 3*y = -2*z - 0*z + c. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2410 by 482.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -344 - -333. Let j(x) = 17*x**2 + 158*x + 9. Is j(t) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h = -2*c + 26, 0 = -5*h - 133 + 128 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -u**3 + 5840 + 28*u + 0*u**3 - 22*u**2 + 29*u - 37*u + 7*u**2 wrt u.\nAnswer: -3*u**2 - 30*u + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p + 1. Suppose 16*w - 17*w = 1. Let m = 3 - 2. Let t(g) = -g - 4 - 3*g + m - g**2. Calculate w*t(o) - 4*y(o).\nAnswer: o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2790 rounded to the nearest 10?\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + -5 + -3 + -14 + (5 - -2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -99*a + 7388. Calculate w(10).\nAnswer: 6398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -6, -72164 in increasing order.\nAnswer: -72164, -6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 9.175415 centuries?\nAnswer: 91.75415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are 920 and 923 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**2 - 10*n + 5. Let t be 6*8\/12 + 9. What is the remainder when r(t) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the first derivative of -7*w**2 + 8\/3*w**3 + 28 + 2*w**4 + 4*w. Let z(m) = 0. What is m?\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1164584322?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 47 and 11.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -17685 + 17685.0026. Is y equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 + a2905?\nAnswer: a2902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 29*l + 5 - 60*l - 1 + 27*l. Let i(j) = j - 1. Determine -2*i(c) - w(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 422691888 to the power of 1\/2, to the nearest integer?\nAnswer: 20559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -4*h - 131. What is n(-30)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 70209801341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 182*y - 2650 + 421 - 2139 = 0 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Total of -40265 and -115.27986365.\nAnswer: -40380.27986365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 16*o**2 + 6*o - 48. Is 11 a factor of t(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9631 is divided by 109.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 3*g - 3 = 3, 4*b = 2*g + 6. Suppose 2*m - 4*m - p + 5 = 0, 3*p = 2*m - 25. Suppose 69 = m*i - b. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.074912463224 and 0.4?\nAnswer: 0.325087536776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2276, -2254, -2232, -2210, -2188?\nAnswer: -2166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 468 divided by 78\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*m = 1803285 + 4385435. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 159 = 56. Suppose 2*g - 15 - 29 = 0. What is the remainder when m is divided by g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -2*v**2. Let q(f) be the third derivative of -f**5\/60 - 7*f**4\/24 - 16*f**2 + 2*f. Let o(x) = x. Let z(u) = -14*o(u) - 2*q(u). What is a(z(d))?\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 17 + 69 = 0. Let s = d + -32. What is the highest common divisor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -230349*i**2 - 3187736*i**2 - 1626559*i**2 - 1170283*i**2.\nAnswer: -6214927*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the second derivative of d**5\/30 + d**4\/4 + 2*d**3\/3 + 5*d**2\/2 + 6*d. Let n(a) be the first derivative of x(a). Solve n(g) = 0 for g.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 20\/(-8) + (8 - (-1185)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2 or 62\/73?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 36320873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 156 = 6*b - 540. Calculate the remainder when b is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/6?  (a) 1\/71  (b) -4  (c) -685\/2  (d) 1\/4  (e) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 1172426*g + 17586374. What is p(-15)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -13, -5, -2, 3, -2963, 1 in ascending order.\nAnswer: -2963, -13, -5, -2, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 38 in -4, -52, 0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -0.058, -1292, 5, -0.3 in descending order.\nAnswer: 5, -0.058, -0.3, -2, -1292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -29 - -18. Suppose -99 + 87 = 4*b. Let s be 2\/(k\/b + -3). Solve -15 = 2*o + s*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 277196 and 36.\nAnswer: 2494764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3734405580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 0, 1, 2, 3, 4, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -32 - -22. Let n = 12 + y. Suppose n*q - 16 = 24. Solve 3*r = -r - q for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 26*y - 44*y + 18*y + 4*y**2. Let r(a) = a**2 - 2. What is q(r(s))?\nAnswer: 4*s**4 - 16*s**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -310231200033 (base 4) to base 11.\nAnswer: -7888631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 51 (base 10) to base 6\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 9, h: 10}. What is prob of sequence ffh?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 22*g**4 - 428*g**2 - 370738 wrt g?\nAnswer: 88*g**3 - 856*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 6, x: 4, c: 1, r: 6, t: 1}. What is prob of sequence cr?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**1)**43*f**(2\/5)\/(f*f*f**(-2))*(f\/(f\/(f\/(f\/f**(3\/7)*f*f))))\/(f\/f**(-2\/13)*f*f)*f**3\/f**6 assuming f is positive.\nAnswer: f**(16232\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:10 AM and 4:30 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 120*u - 6592 + 2366 = 7774. Which is smaller: u or 109?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the second derivative of j**3\/3 - 923*j. Let a(w) = -5*w**2 + 7. Give b(a(q)).\nAnswer: -10*q**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 86*s + 593. Let k be l(-7). Suppose 4*r + p = 9, -2*p - 6 = -0. Sort -5, k, r in descending order.\nAnswer: r, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -365000 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sum -38125 and -8.\nAnswer: -38133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20552, 20553, 20554, 20555?\nAnswer: 20556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sum -12.4 and 0.2288845754.\nAnswer: -12.1711154246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 303 divide 292473972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 765765 and 3060.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is (5*-1 + 5986458\/126)*294\/84 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4346 - 4338. Solve 5*y - 2 = 4*s - i*s, 4*s + 4*y = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100 - -100101100001101011011001011?\nAnswer: 100101100001101011011000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 divided by -18554?\nAnswer: -5\/9277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**3 - 4*p**2 + 2*p + 9. Let x be r(-4). Let g = -219 + 2407\/11. Is x not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**3 + 3*g**2 - 2*g + 2. Let h be w(-3). Let p = h + -18. Let s = p + 30. What is the lowest common multiple of 6 and s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7755625 litres in millilitres?\nAnswer: 775.5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 2*l**2 - 41*l + 345. Let w be n(15). Suppose 3*g + 3*a - 168 + w = 0, 4 = 4*a. Let f = -1 + -19. Sort -2, f, 4, g in ascending order.\nAnswer: f, g, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -463358117.72000658 + 463358122. Let y = t - 4.28. What is y rounded to seven decimal places?\nAnswer: -0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2363 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8370108 is divided by 13307?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, t: 6, y: 5, r: 4}. What is prob of sequence yr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -3*m - 19. Let k be x(-7). Suppose k + 13 = -3*d. Let r(f) = 5*f - 13. Let g(z) = z - 3. Let l(c) = 9*g(c) - 2*r(c). What is l(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 78*v + 6. Let n(t) = 125*t + 10. Let c(r) = -5*n(r) + 8*p(r). Let o be (-14)\/(-8) + (-2)\/(-8). What is c(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2174?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -6 from -24747.\nAnswer: -24741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the third derivative of a**7\/180 + a**4\/12 + 9*a**2. Let z(j) be the second derivative of w(j). Let b(f) = f. Determine z(b(s)).\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**10*t**(1\/8))\/(t**(-2\/9))**2 assuming t is positive.\nAnswer: t**(761\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the second derivative of 1\/60*b**4 + 0 + 1\/30*b**3 + 0*b**2 - 1\/100*b**5 - 1\/150*b**6 - b. Solve w(p) = 0 for p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -498, -935, -1380, -1839, -2318, -2823, -3360?\nAnswer: -3935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, -5, 0.01, -2\/7, -2\/5 in increasing order.\nAnswer: -5, -2\/5, -1\/3, -2\/7, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-32)\/(-6)*28476\/10555104?\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 2*p**2 - 4*p + 3. Let u be s(4). Let x = -17 + u. List the prime factors of x*-2*(-5 + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -4, -3\/23, -6, -1, 6.\nAnswer: -6, -4, -1, -3\/23, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 678616 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 221635451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29616 - 3207 - c + 348.\nAnswer: -c + 26757","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.05, 0.1, 3\/8?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 2*n + 3. Let p(s) = s + 2. Let m(f) = -2*j(f) + 3*p(f). Let q(o) = o**2. Calculate m(q(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45 is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**3\/4 + 3*t**2 - 29*t\/4 + 9\/2.\nAnswer: -(t - 9)*(t - 2)*(t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 54876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-4))\/(1\/(-1)*3567\/584988)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18)\/12*5\/15*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 121018615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 3, 2, 1536, -1 in ascending order.\nAnswer: -4, -1, 2, 3, 1536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10254 is divided by 1460.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 102393779?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 34616 and 317944?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -400.3048 to the nearest ten.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o + 4 + 6. Suppose -6*s + o = -5*s. Differentiate 5 + 0 - s - 3*q**4 with respect to q.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -9, 0.2, -5\/4, -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80 = q - 82. Let b be 9\/21 + q\/14. Solve -2*d - 2*d = r - 6, b = 4*d + 4*r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 70 - 60. Which is the second smallest value?  (a) v  (b) -0.4  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u - 16. Give l(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 93 times 37330?\nAnswer: 3471690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**3\/6 + 1280*u**2 + 7687*u\/6 - 7681.\nAnswer: -(u - 7681)*(u - 2)*(u + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -146 - -149. Solve -9*c = -8*c + f*h + 5, 0 = -c - 4*h - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 2 + 794*o - 3884*o.\nAnswer: -3090*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((1*sqrt(85))\/sqrt(5))**2 - -1*(sqrt(34)\/sqrt(2) + -4 + sqrt(17))**2.\nAnswer: -16*sqrt(17) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 6, 1\/2, 6\/17, 0.16?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 39 and 133094?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i**2\/5 - 2096*i\/5 + 8416\/5 = 0.\nAnswer: -1052, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.17 - -7.27. Let o = p - 1.1. Let z = 7.96 - 10.96. Sort z, o, -1\/4 in decreasing order.\nAnswer: o, -1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -2*r**3 + 8*r**2 + 49*r - 212. Give o(-6).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 510, -3, 0, -6 in descending order.\nAnswer: 510, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 90\/1134*7*2\/15*-6?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*y**2 + 2*y**3 - 6*y**2 + 0*y**2 wrt y?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 2*v**3 + 2*v**2 - 14*v - 11. Calculate q(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 405*p - 10. Let q(s) = -s + 1. Let y(o) = g(o) + 10*q(o). Let n(c) = -3*c. Calculate n(y(k)).\nAnswer: -1185*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the second derivative of y**3\/2 + 2*y. Let x(s) = -2*s - 3*s - 2*s. Let k = -49 - -45. Determine k*x(z) - 10*f(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1675.7 and -666.\nAnswer: -1116016.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3605.\nAnswer: 5, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 1270 = 3*a - 2*a, 0 = -2*r - 3*a + 628. Let m = r - 202. List the prime factors of m.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 30888 - -5892. List the prime factors of n.\nAnswer: 2, 3, 5, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*q - 22 - 48 = 0. Solve -u = -0*u + q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1083697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*u**2 + 100*u + 96 = 0. Calculate u.\nAnswer: -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -3*c - c**2 + 3*c. Let y(b) = -19*b**2 - 5*b - 4. Let m(k) = -14*k - 5*k**2 + 18*k**2 + 5 + 6*k**2 + 20*k. Let v(s) = 4*m(s) + 5*y(s). Give v(q(a)).\nAnswer: -19*a**4 + a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1727.9129 + 1728. Which is bigger: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**26*m)\/m)\/m**(-3\/10)*(m**(-2\/13))**(7\/3) assuming m is positive.\nAnswer: m**(10507\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 808 is divided by 285.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29 is divided by (-6)\/(-15) - (-166)\/10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 480 - d8?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 26362470559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-198)\/(-21) + (-6)\/14. Let g = n + -5. Let j be 2*6*g\/3. What is the highest common factor of 128 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 58 divide 1625856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j = -7*i - 21, -3*i - 3*j = -222 + 204 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-5)\/(-3))\/(350\/2450))\/((-14)\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, d: 2, a: 2, x: 1, r: 1}. What is prob of sequence aa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2 + (-24)\/15 + ((-355704)\/(-40) - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -26, -52, -102, -182, -298, -456?\n\"Answer: -l**3 - 6*l**2 - l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(117) + (sqrt(325)*3)**2.\nAnswer: 3*sqrt(13) + 2923","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -669*t**3 + 85 - t + 567*t**3 + 2*t**5 - 410*t**3 - 2*t + 6*t**2 wrt t.\nAnswer: 120*t**2 - 3072","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6672 a factor of 1860145486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2263 is divided by 282?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 464*l + 496*l**3 + 51*l + 312*l - 500*l**3 as r + i*l + u*l**2 + z*l**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**3 + f**2 + f + 9. Let c be m(0). Let s(z) = -7*z + 552 + c*z - 550. What is s(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 11 - 2)*(2*g**2 + g - g + (86*g + 61*g - 26*g)*(-g - 1 + 1)).\nAnswer: -714*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -28*h**2 + 2918*h. Let n(x) = -21*x - 1. Determine n(q(o)).\nAnswer: 588*o**2 - 61278*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 13, 2\/9, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1513211 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -97 + -19902?\nAnswer: -19999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.07  (b) -1  (c) 15287  (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -4340, 2, 1, 0.2?\nAnswer: -4340","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -848 divided by -891\nAnswer: 848\/891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5429 and 366?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -2*sqrt(17)*3.\nAnswer: -6*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1581.\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11452898*b**2 + 38288*b + 32 = 0. Calculate b.\nAnswer: -4\/2393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**3 + 2*c**2 + c - 1. Let x(h) = -3*h**3 + 5*h**2 + 3*h - 3. Let i(z) = -5*n(z) + 2*x(z). Let o(g) = 2*g**3 - 2*g + 4. Determine -6*i(f) - 2*o(f).\nAnswer: 2*f**3 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 14 + 452366?\nAnswer: 452402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*h + 165 - 165 in the form f + u*h and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(11) + -2)**2 + -5)*-2 + sqrt(99)*3 + 1.\nAnswer: -19 + 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 41 by 360648.\nAnswer: 41\/360648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3045129587?\nAnswer: 3301, 922487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the third derivative of -s**5\/60 + s**4\/8 - s**3\/3 - 2*s**2. Let o be c(2). Suppose 4*b + 19 - 79 = o. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/(-2 - (-3)\/2). Is 229\/7 + p\/(-7) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -2\/13, -0.0035, 1, 6\/7, 8\/5 in descending order.\nAnswer: 8\/5, 1, 6\/7, 0, -0.0035, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 - -6. Let k be (-6)\/(-15) + v\/(-10). Suppose 5*p - 35 = -k*p. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/245, 0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1\/(-3) - -3)\/((-5)\/(-15)). Suppose -5*a = -s*a + 42. Let g = 33 - 19. Calculate the greatest common divisor of g and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -94 * 41.\nAnswer: -3854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 21743 + -4898. Suppose -12*o = -l + 801. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:11 PM and 6:37 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + 14 = 2*l. Let k(c) = c**2 - 6*c + 2. Let r be k(l). Let h = r + -3. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -258*h**3 - 4 - h**2 + 11 + 260*h**3 to the form z*h**2 + p*h + c*h**3 + q and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4.265 - 36.355. Let h = j + 65.45. What is h rounded to 0 dps?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(88) - -2*(sqrt(88) + sqrt(88)*1)) + sqrt(88) + -4*((sqrt(88) - (2*sqrt(88) - sqrt(88))) + sqrt(88)))\/((sqrt(162)*-3)\/sqrt(9)).\nAnswer: -4*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the third derivative of 0*g**3 + 0*g + 0*g**5 + 2*g**2 - 3\/8*g**4 - 7\/120*g**6 + 0. What is the second derivative of u(l) wrt l?\nAnswer: -42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, x: 10, t: 4, z: 4}. Give prob of picking 2 x.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 + -3031?\nAnswer: -3032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 198 - 142. Suppose -51*v - 9415 = -m*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 78198750 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 smaller: 10 or 41?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 105\/88 and -85\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25230.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - g = -707, 2*t + 2*t = 5*g + 689. Let s(h) = -2*h - 16. Let a be s(-8). Suppose 2*i - 39 + 7 = a. What is the greatest common divisor of i and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d = -3*d + 31 - 207, 5*m - 130 = 50*d - 45*d for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f. Let q(s) = 479*s + 67. Give q(i(b)).\nAnswer: -479*b + 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 51 + 44 + -74 - (64 + (-9 - -2))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 15300 and 24?\nAnswer: 30600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 g when two letters picked without replacement from {n: 3, g: 3, h: 13}?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -1840 (base 10) to base 3\nAnswer: -2112011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -101 + 1657245?\nAnswer: 1657144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g and 2 w when four letters picked without replacement from {w: 1, r: 1, g: 1, k: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4  (b) -6\/5  (c) 15  (d) -7  (e) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, n: 2, e: 1, b: 1}. Give prob of sequence jj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*c - 16. Let y(v) = v**3 - 8*v**2 + 6*v + 7. Let u be y(c). Solve 4*r + u*r + 8 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.284672 - -0.3071. Round r to three decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 - 6. Let l be (-2)\/10 - 6\/(540\/2442). Let m = l - -83\/3. Which is the third biggest value?  (a) 2  (b) k  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39160?\nAnswer: 2, 5, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d\/(d*d\/d**(-10\/9)*d))\/(d*(d*(d\/(d*d**(-8)))\/d)\/d*d))**(5\/8)\/(d**(-3\/11)*d*d\/(d*d**8)*d*(d**0)**(-43)) assuming d is positive.\nAnswer: d**(-133\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-20)\/5 - -3) + 1. Suppose 2*o - 5*x + 18 = b, -x - 4*x = o - 21. What is the remainder when 2 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14 - 27*p - 14 + (-3 + 1 + 4)*(-p - 3*p + 5*p) + 3*p + 4 - 4)*(-7 - 1 + 3).\nAnswer: 110*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) 5  (c) 2\/17  (d) 105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -344 - -2821\/8. Find the common denominator of o and 43\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 + (4 - 28) + 48?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 62*n**2 + 260 - 75 - 111 - 75. Let u(t) = t**3 + 5*t**2 - t - 4. Let f be u(-5). List the prime factors of q(f).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*n**2 - 3*n**3 + 2*n - 2*n**3 + 6*n**2 + (-4 + 4 - 2*n**2)*(3*n - 3*n - n) as i + a*n + k*n**3 + w*n**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 14) + (12 - 1) + 107 + -121.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 3*b - 0*b - 4*w, -5*b = -3*w - 43. Let q(u) = -2*u - 2. Let c be q(-2). Let f = c - 0. Solve -3*p + 4*p + b = -3*d, -f*p + d = 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4169584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w + 0*w + w**2)*(-1338 + 1338 - 3*w**3 - 8*w).\nAnswer: -3*w**5 - 8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes before 5:01 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v**5 + 28996*v**4 - 144892*v**3 + 86908*v**2 + 144896*v - 115904 = 0 for v.\nAnswer: -1, 1, 4, 7244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 2*l**2 - 31*l - 22. Let n(w) = -w**3 + 12*w**2 + 16. Let f be n(12). Let z be i(f). Let b be ((-6)\/10 - 0) + z\/15. Is b at most -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 1, -20, -5, -2, 4, -13 in increasing order.\nAnswer: -20, -13, -5, -2, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r + 8*r - 5 = 0. Suppose 20 + r = 5*a. Suppose a*d = 4*y + 16 + 6, d + 13 = -5*y. Solve -5*w + 5*g = 10, 2*w = 3*g + d*g - 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 424330*z**6 + 461*z**2 - 2*z - 9440 wrt z?\nAnswer: 50919600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**2 - 3*s + 6. Let g = -13 + 8. Does 16 divide f(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y + 4*y - y. Solve y = -l + j + 7, 5*l + j + 0*j - 17 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -204 - 311 + 515 - 5212*t.\nAnswer: -5212*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2.1 + -3.1. Let t be 58\/18 + 4 + 3 + -10. What is the closest to 1 in t, -1\/5, -2\/11, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73*v - 960 - 1119 + 327 = 0. Let p be (2\/(-4))\/((-2)\/104). Which is smaller: p or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -32032270 (base 8) to base 7\nAnswer: -112022215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 16341889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/20*(-5 + 16\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 24\/12 - (-3 - 0). Suppose 2*z + n = 9. Solve -z*b - v = -1, -2*b + 3*v - 6 = 13 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*m + 3138 = -19527 + 5913. Solve 0 = m*s - 355*s + 30 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1283 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 305 - -1550114?\nAnswer: 1550423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 2)\/(-559 - -562).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1355 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -71*3*40\/(-3). Round v to the nearest one hundred.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*l - 7150 = 341*l for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3595978 by -1094.\nAnswer: -3287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - (3 - (9 + -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 972253 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 4, x: 3, q: 1}. Give prob of picking 1 x and 3 m.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16*-2248528.\nAnswer: -35976448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 20*u**2 - 971*u - 149. Give x(49).\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 177\/11 at most -0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**2 - 7 - 3 - 2*c + 5 + 4*c**3 - 4. Let q(v) = 5*v**3 - v**2 - 3*v - 9. Let s(p) = -4*n(p) + 3*q(p). What are the prime factors of s(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 331110330 (base 4) to base 6\nAnswer: 5214540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7*p**2*y**3 - 20*p**2*y**2 - 3*p*y**4 + 1037*p*y**2 - 2035*y**4 wrt y.\nAnswer: -42*p**2 - 72*p*y - 48840*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r + 3*d - 12 = -36, 0 = -2*d - 6 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 2 l when three letters picked without replacement from memejlmmlxmlmx.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 579240978794 + -0.0489?\nAnswer: 579240978793.9511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55 = -5*i - 5*t, 0 = i - 3*t + 194 - 193 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**3 + 3*k**2 - 4*k - 3. Give o(4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 265 divide 40310125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 222 + -213 + (-4)\/10 + (3 - 16)\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i**3 + 53*i**2 - 228*i + 1. Let k be r(-57). What is the third smallest value in k, 26, 19?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1\/5, -0.225, 7054\/5, 13 in descending order.\nAnswer: 7054\/5, 13, 0, -1\/5, -0.225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 + 1)\/(4\/26). Let k = y - -16. Suppose -4*c - m = -41, 4*m = 4*c - 7 - k. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4701*z - 1640*z - 2375*z)*(-1 + 1 - 3*z).\nAnswer: -2058*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x + 26*u = -165, 5*x + 638*u = 634*u - 39 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -31 - 3*h**6 + 203*h**2 + 6 + 25 wrt h.\nAnswer: -360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 224 = 4*v, -19*v + 18*v - 4*l = -37. What is the highest common divisor of v and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*w**2 - 636*w + 11*w + 618*w - 8*w**2 + 7*w.\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 65479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4956)\/(-3717)*(5*2 - (0 - -1)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of (-252)\/(-3) - 4\/((-4)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-20)*48160\/(-151704)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (22 - 6028\/275)*37 + (-4 - -1)?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 216014*c**3 - 645958*c**3 - 301770*c**3 - 186967*c**3.\nAnswer: -918681*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*r = -6*r - 336. What are the prime factors of ((-68)\/6)\/(1 - 23\/r)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, y: 2, m: 1, d: 1, v: 2}. What is prob of picking 1 d and 1 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/3 less than -165821?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -39*m**3 + 5*m**2 + 2*m - 6. Determine x(1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 92999 - 21575813\/232. Let s = 2\/29 + i. Let u(r) = -2*r**3 - r. Let g be u(1). What is the second smallest value in s, g, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -32.36207047 rounded to 3 decimal places?\nAnswer: -32.362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 14 + 6. Let l = -16 - -26. What is the smallest common multiple of l and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 250517 or 250518?\nAnswer: 250518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-156)\/(-42) + (-2)\/(-7). Solve q*x + c + 1 = 0, -5*c = -6*x + 3*x + 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -3*z**2 + 26*z - 3. Let m be t(7). Is 22 a factor of (m\/6)\/((-20)\/60)*-11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 2*b**2 - 9 + 0*b - 3*b + 8 + 3. Let x be k(4). Let z = x - 20. Solve -u + 1 = z*d - 5*d, -u + 1 = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 b, and 1 u when three letters picked without replacement from {p: 2, g: 1, b: 1, u: 2, o: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1, -0.0631, -1\/10, -0.16?\nAnswer: -0.0631","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.05 + 10.05. Let v = -10.000039 + j. Round v to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the second derivative of -w**6\/120 + w**4\/24 - 3*w**3\/2 - w**2\/2 + 8*w. Let g(m) be the first derivative of h(m). Determine g(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*b + 9*b**2 - 42*b + b + 20*b + 181.\nAnswer: 9*b**2 - b + 181","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -24 + 52 + 5*i**3 - 5*i**2 + 3*i**2 - 29 - 2*i**3 to the form b*i + r*i**2 + x + m*i**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 2*v = i - 15, 0 = 2*v - 3*i - 10. Suppose -v + 1 = 4*r + 3*q, 0 = q + 4. Solve -r*h + 1 = -3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -9*c**2 + 5451*c + 335638. Calculate m(662).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rn when two letters picked without replacement from {r: 3, n: 7}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((sqrt(7) + 1)**2 + 1 - sqrt(7)) + 2 - ((sqrt(1694)*2)\/(sqrt(162) - (-1*sqrt(162) - sqrt(162))))**2.\nAnswer: sqrt(7) + 3173\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(245)*4 + -5)**2 - (0 + (2*sqrt(5))**2 + sqrt(5))*-4).\nAnswer: -8050 + 552*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -364714 + 364910.079. Let j = l - 196. Round j to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ugegeuuuuuggu. Give prob of picking 3 u.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 17 and 5.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -8*o - 8*o - 11*o. Let f(h) = -2*h**2. Determine q(f(c)).\nAnswer: 54*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 348 = 4*q, 3*a = 2*a + 5*q + 350. Is 20 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 67\/5 of a kilogram?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -120 divided by 8\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -53 - -48. Which is the closest to 0?  (a) o  (b) 0.5  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 + 8. Let x be (34\/(-51) + (-2)\/(-3))\/1. Solve -t*h = -x*h + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 48 and 432?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (50*q - 358 + 358)*(-90*q**2 + 90*q**2 - 25*q**3) in the form x*q**3 + f*q**2 + k*q + s + l*q**4 and give l.\nAnswer: -1250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 c, and 1 l when three letters picked without replacement from {t: 1, b: 2, l: 1, c: 9, y: 4}.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s**4 - 2*s**4 - s**4 - 2*s**2 + s**4 + 2*s**2 + (-2*s**2 + s**2 + 2*s**2)*(3*s**2 - 4*s**2 + 0*s**2) - 2*s**4 + 2*s**2 - 2*s**2)*(5*s + 1 - 1).\nAnswer: -20*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.251788km to millimeters.\nAnswer: 4251788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -21713905, -21713907, -21713909, -21713911, -21713913?\n\"Answer: -2*a - 21713903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (60\/150*8*8\/448)\/(6\/28)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -151\/4*r**2 - 1925\/4*r - 625\/4 - 3\/4*r**3.\nAnswer: -(r + 25)**2*(3*r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 - 1a25?\nAnswer: -1a2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 18993 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15 + -19 - (-1 - 13)) + 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 15 in 21, 4, 0.5, 5, -4.65?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 10 - p + 11 - 2.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -857*d**2 - 40*d**4 + 62*d**4 - 26*d**4 - 11232 + 6480*d - 511*d**2 + 124*d**3.\nAnswer: -4*(d - 13)*(d - 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23e (base 15) in base 3?\nAnswer: -200212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*s**2*t**2 - 418192*s**2*t - 121*s*t**2 - 56563*t wrt s?\nAnswer: -16*t**2 - 836384*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of m**4 - 72026*m**3*p**2 - 2*p**2 + 3*p - 53 wrt m?\nAnswer: 4*m**3 - 216078*m**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = -6*l - 213. Let u be 14\/10 + -1 + (-184)\/l. Suppose -4*v = 3*o - 384, u*v - 645 = -8*o + 3*o. Is o a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7\/4 + -17\/12. Factor 0*d + 0 + l*d**3 + 1\/3*d**2.\nAnswer: d**2*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h - s + 44 = 0, -172*h + 77*s - 75*s - 1546 = 0 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11483 + 11483.05003. Let p = j - 0.054. Round p to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/6 and -23\/121488?\nAnswer: 121488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -850, -916, -990, -1072, -1162, -1260, -1366?\nAnswer: -1480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (169*j**2 - 38*j**2 + 76*j**2)*(3*j**2 + j**2 - 7*j**2).\nAnswer: -621*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1101.889 - 1.945329?\nAnswer: -1103.834329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -6*l**2 + 6*l + 11. Let o(y) = -7*y**2 + 5*y + 10. Let h(f) = -4*k(f) + 3*o(f). Let w be h(8). Suppose c = -c + w. List the prime factors of c.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s + 2*s + 14 + 28. Let p(q) = -4*q - 13 - 25*q**2 - 5*q + 0*q - 4*q. Let y(j) = 12*j**2 + 6*j + 6. Calculate s*p(x) - 13*y(x).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*q - 3*q**3 - 1 + 6*q**2 + 4 - 3 - 2*q**4 in the form l*q + z + i*q**3 + x*q**4 + g*q**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -15*q - 747. Let g be h(-50). Let r be (-21)\/9*(-3)\/(-4). Is r bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - 1 - (1 + -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jhhj when four letters picked without replacement from hhhhhhhjhhjh?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**3 + 16*v**2 - 31*v - 99. Let d be a(9). Calculate the highest common divisor of d and 1782.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -367*w + 13568. What is j(37)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-21 + 21 - 5*z**2)*(4*z + 3*z - 3*z) + (3*z**3 - 11*z**3 - z**3)*(-1 + 1 - 1) to the form v*z**3 + n*z**2 + j + w*z and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 57505 is divided by 553.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*i**4 - 565*i**3 + 21425*i**2 - 279435*i + 258570.\nAnswer: 5*(i - 39)**2*(i - 34)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 523 divided by -21?\nAnswer: -523\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*x**2 - 10560*x - 419445.\nAnswer: 5*(x - 2151)*(x + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 + 2 = -l. Suppose -3 = l*h - 8*h. Let y(m) = 3*m**2 + 2*m - 1. List the prime factors of y(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -356 + 437. Let z(v) = -v**3 - 7*v**2 + 59*v + 6. Let f be z(-12). Calculate the greatest common divisor of d and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 283350 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -7*i. Let f(n) = -35*n + 10. Let w(d) = 11*d - 3. Let x(y) = 3*f(y) + 10*w(y). Determine c(x(v)).\nAnswer: -35*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 72.19 + 1.81. Let a = 74.0000488 - u. Round a to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.47406 - 1901.17406. Round b to the nearest ten.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve p - 17 + 10 = 4*c, -2*p = 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 2104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {s: 1, k: 2, d: 1, m: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -33897*x**2 + 62*x - 81. Let b be p(7). What is b rounded to the nearest ten thousand?\nAnswer: -1660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 38 + 22. Suppose -v = -c + 3*d, -2*c + c = 3*d - 3. Calculate the remainder when ((-65)\/(-6) - 3)*(-24)\/(-4) is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -282 - 18*d + 139 + 139 - 12*d to the form n*d + m and give n.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**2 - 6*r - 1. Let o be k(-5). Let m be o + (-2 - -3 - 1). What is f in 1\/4*f**m + 1\/4 + f + f**3 + 3\/2*f**2 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1911709168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -5*r**3 - 2*r**2 + 2. Let v = -45 - -41. Let u be 1 + ((-40)\/v)\/2. Let o(z) = 4*z**3 + 2*z**2 - 2. Give u*o(h) + 5*c(h).\nAnswer: -h**3 + 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1229?\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 9035  (b) 0.4  (c) -109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1884 <= -332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 295 - 334 = -4*i, -3*i + 468 = 3*z. Suppose 4*f + i = 753. What are the prime factors of f?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -102 + 85. Which is bigger: d or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-1\/5)\/((a*(a*a**0*a)\/a)\/a)*(a**(-2\/3))**(-2\/85)*(a**(-1\/4))**(-1\/3)*(a\/a**(-6))\/a**(-1\/4) assuming a is positive.\nAnswer: a**(1568\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8\/3 in -3, 3\/2, -74\/7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 347857 is divided by 3221.\nAnswer: 3210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x + 3*z - 99 = z - 5*z, 6115*x - 37 = 6114*x - 3*z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c - 4. Let r be g(4). Let p = -101\/18 + 55\/9. Let r - p*b**2 + 0*b = 0. What is b?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 14496 = -4*q, -8*s = 2*q - 3*s - 7238. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -31280*q**4 + 3*q**3 - 270*q**2 + 2*q - 32 wrt q.\nAnswer: -750720*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 9*z + 292 = 0. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 41*q + q**4 - 22*q**3 + 468 + 44734*q**2 + 19*q - 44841*q**2.\nAnswer: (q - 26)*(q - 2)*(q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eqppplpeklkqqfqel. What is prob of sequence eqk?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 20 - 18. Let b(v) = 0 + 4*v - 9*v**2 - 6 + 10*v**f. Let x be b(-7). Solve -5*z = -4*t + x, 0*z = -5*t + z + 24 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -311004 - 101444?\nAnswer: -413003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-21 + 1 - (19 - 31)) + -37\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1535534229*s**2*u**3 + 2*s**2*u - 1031*s**2 + 13113*s + 1 wrt u?\nAnswer: -9213205374*s**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 11519.53cm?\nAnswer: 115195300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -36*n**2 - 17*n + 14. Let b(m) be the first derivative of 4*m**3 + 3*m**2 - 5*m + 5. Let a(v) = -17*b(v) - 6*l(v). Is 12 a factor of a(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(242)*4 + sqrt(242) + sqrt(242) + -5 - (-6*sqrt(242)*-2 - (sqrt(242)*-1 + -4 - sqrt(242))))**2 + 2.\nAnswer: 704*sqrt(2) + 15506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -4*r - 4*u + 60, 3*u = -3*r + 78. Let v = r - 10. Let s be (v\/18)\/((-2)\/(-6)). Let f(y) = -2*y + 2. What is f(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 495657593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t - 3*k + 16, k + 2 = t - 1. Let b be 1\/t - 24\/(-5). Suppose 2*r + 4*d - 32 = 0, 3*r - b*d = 2*r - 19. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -9*m**2 + 177*m + 31. Calculate b(21).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5370158 is divided by 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s - 9*s + 7*s)*(-7 + 2 - 4).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6017, 5051, 4087, 3125, 2165?\nAnswer: 1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 f when two letters picked without replacement from {u: 2, f: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2\/4125 + 2473\/4125. What is the third smallest value in -12, x, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(35)\/(-2*sqrt(5)) - sqrt(7)) + -4 + sqrt(70)\/((sqrt(90) - -2*sqrt(90))\/sqrt(9)))**2 + 0.\nAnswer: 28*sqrt(7)\/3 + 919\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28\/9*k**3 - 2\/9*k**5 - 4\/9 - 2*k - 4\/3*k**4 - 32\/9*k**2 = 0. Calculate k.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 13 - 14. Which is the nearest to -2\/3?  (a) 3  (b) s  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the second derivative of 5*z**3\/6 + 2*z**2 + 5*z. Let s(c) = -4*c - 3. Calculate 3*d(x) + 4*s(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**2 + 23*n - 56. Let q be o(20). Let l(d) = -d - 1. Let i(a) = -18*a + 1. Let w(k) = q*l(k) + 4*i(k). Let z(j) = j**2. Determine w(z(r)).\nAnswer: -76*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - 0 - (-8 + (-2 - -7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 26530786714 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -37671*c**2 + 4*c + 38169*c**2 + 2*c**3 - 4*c + 0*c to the form n + z*c**2 + o*c + p*c**3 and give z.\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b + 6 = -4*n, -3*n = 4*b - 429 + 426 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1081*x**2 - 8616*x + 8616*x.\nAnswer: 1081*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2*z - 2)*(-4*z + 2*z + 3*z) - 12*z + 12*z - z**2 + 2*z**2 + 2 - 2 - 28*z + 28*z - 10*z**2.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:37 AM and 6:31 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -204*a - 1582*a = 132164 for a.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve k - 8 = y - 6*y, -3*y = 2*k - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the second derivative of -10*z + 5\/6*z**4 - 12*z**2 + 4\/3*z**3 + 0 + 4\/15*z**5 + 1\/30*z**6. Let h(i) be the first derivative of c(i). Factor h(u).\nAnswer: 4*(u + 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 956962.\nAnswer: 2, 478481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = -m + 144. Calculate the remainder when 23\/3*(-6)\/(-1) is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 10 - 4 = 0. Let y(o) = 3*o + 22. Suppose -2*t + 7 = 3. What is the smallest common multiple of t and y(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1218?\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**3 - 7*l**2 + 5. Calculate v(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4190 or -4192?\nAnswer: -4192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3491, -14684, -33339, -59456?\nAnswer: -93035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 313*h + 381. Let y(a) = -314*a - 392. Let j(x) = -4*f(x) - 5*y(x). What is the first derivative of j(o) wrt o?\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*x + 13*x - 122*x**2 - 124*x**2)*(-3*x**2 - 2*x**2 + 6*x**2 + (0 - 2*x + 0)*(0*x + 0*x - 2*x) + 3*x - 2*x**2 - 3*x - x**2 + 0*x**2 + 0*x**2).\nAnswer: -492*x**4 + 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15608712.\nAnswer: 2, 3, 7, 53, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.004734053 rounded to four dps?\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -199345, -397833, -596321, -794809, -993297, -1191785?\nAnswer: -1390273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 82703520 divided by -2\nAnswer: -41351760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 93 - 93. Suppose -5*s + 13 + 17 = d. Put 12, s, 2 in descending order.\nAnswer: 12, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -982*t + 51 - 51 - 966*t + 2035*t. Let s(p) = -20*p**2 - 2. Give i(s(o)).\nAnswer: -1740*o**2 - 174","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that 2*h**5 + 28*h**4 + 156*h**3 + 432*h**2 + 594*h + 324 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1331321130 (base 4) to base 2.\nAnswer: 1111101111001011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000876 to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 1180  (b) -3  (c) -0.1  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqkklkqqqk. What is prob of picking 2 k?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 4, s: 2}. Give prob of sequence sos.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1045388922.\nAnswer: 2, 3, 17, 10248911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*f + 28*f + 107098 = 2*b, 0 = 5*f. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -40 - -45. Suppose a*j = 3*j + 12. Calculate the remainder when j is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 150196 is divided by 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 89 a factor of 429784492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-212)\/(-44) - (-2)\/11. Let l be 24\/40 + 397\/v. Calculate the highest common factor of l and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -7002532*y - 128. Let t be g(-4). What is t rounded to the nearest 1000000?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = 5*q - 4523, 3*b - 1096 = -5*q - 4497. Let f = 1917 - 2718. Let g = f - b. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 101934, 203874, 305814, 407754?\n\"Answer: 101940*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*h - 11*h - 4*h**2 + 13*h.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 114 and 216\/(-32)*228\/(-9).\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 60, -2\/7, -51?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 150 by -3.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the first derivative of 23 + 0*a - 9\/4*a**4 + 0*a**2 + 11*a**3. Find the third derivative of k(g) wrt g.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 5472 = -o. Let c = 8368 - o. Round c to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 208*o = -334*o + 25989984. What is the ten thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 30762 and 62?\nAnswer: 953622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -327 = -14*w - 117 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**3 + 15*d**2 - 12*d - 5. Let l be r(-16). Let n = -56 - l. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 0 + 2 = 0. Suppose -j*g = g - 9. Is 5 a factor of 2*(2 + g\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1453 = 20*p - 151*p + 774. What is the remainder when 2356 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(52)\/(sqrt(20)\/sqrt(5)) + 3*(0 + sqrt(13)))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 231851?\nAnswer: 47, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.08 - 54139.3.\nAnswer: -54139.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13781 (base 10) to base 16.\nAnswer: 35d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -854.748 plus -0.0391?\nAnswer: -854.7871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes after 9:16 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -56.38 and 10565?\nAnswer: 10621.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 5e (base 15) to base 3\nAnswer: 10022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 450, 900, 1350?\nAnswer: 1800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1134, 1156, 1178, 1200, 1222, 1244?\nAnswer: 1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15 + 59\/4. Suppose 0 = m + 6 - 2, 0 = 3*k + 3*m + 15. Is k bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, x: 2, s: 1, g: 1, q: 1, d: 2}. Give prob of picking 1 g and 1 s.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/(-4))\/(200\/(-14880)*-341)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -235, -261, -287?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -198 - -205. Suppose 3*i + 3 = -2*l, x*i - 11*i - 5*l - 11 = 0. Let d = -2.9 - 0.1. Which is the smallest value?  (a) 6  (b) d  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 175 and 665.\nAnswer: 3325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -674*q - 1200. Let j be u(-2). What is the highest common divisor of j and 14393?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 2 z when three letters picked without replacement from axpazpzaaajp.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from ddddduddudu.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 687490193 minus -157?\nAnswer: 687490350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 + 13?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:38 AM and 12:07 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4242 and -0.137?\nAnswer: 0.0581154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7485 or 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -78, -163, -314, -531, -814?\n\"Answer: -33*t**2 + 14*t - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -7*h + 4*z - 11, -3*z + 12 = 0. Solve -h*i = 4*l - 8, -3*l - 20*i + 6 = -15*i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -144557 rounded to the nearest one thousand?\nAnswer: -145000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:49 PM and 4:10 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**3 - 12544*z**2 - 364620*z - 77. What is b(-29)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -s**2 + 32*s - 48 wrt s?\nAnswer: -2*s + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -10*j**3 + 23*j**3 - 9*j**3 - 3*j**3 - j**2. Let q(x) = 5*x**3 - 15*x**2. Give q(p) - 4*v(p).\nAnswer: p**3 - 11*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the second derivative of -3*o**5\/20 - o**4\/6 + o**2 - 138*o - 2. Determine z(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**3\/3 + 16042*n**2 + 96256*n\/3.\nAnswer: -n*(n - 48128)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2560824.\nAnswer: 2, 3, 7, 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -30, -62, -94, -126?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 41, 96, 225, 464, 849, 1416?\nAnswer: 2201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the third derivative of k**8\/10080 - k**5\/15 - 4*k**2. Let w(x) be the third derivative of y(x). Let a(d) = -336 + 169 - 4*d + 167. What is w(a(q))?\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/((-11)\/((-44)\/628) + -14 + 7)\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 a factor of 13733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*m**5 + 292*m**3 - 416*m wrt m.\nAnswer: 40*m**3 + 1752*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 4589 divide 18801133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - 6\/9*-3)\/(-8 + 48\/9)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 284.2746199 + -22.2748219. Let v = -262 + g. What is v rounded to five decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -33 - -25. What is the common denominator of (-6)\/o*6\/(-27)*-109 and -8\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 7809821100 to the nearest 1000000.\nAnswer: 7810000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 141868403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2320 + -3332?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 63 - 39. Solve 2*n + 8 = -2*a, -g = 5*a + n + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-5 + 5 - 1)*(-4 + 0 + 2) + 2 + 0 - 4 - 2 - 3 + 3)*(7*r**2 - 2*r**2 - 2*r**2) to q + b*r**2 + k*r and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 721.000809 - 721. Round w to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*d**4\/7 - 206*d**3\/7 - 202*d**2\/7 + 206*d\/7 + 204\/7 = 0. Calculate d.\nAnswer: -102, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-2)\/2)\/(-4))\/(-9*(-120)\/(-810))?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 32 + -22. Calculate the least common multiple of b and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 548.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 4*x**2 - x + 7. Let h(v) be the first derivative of -3*v**3 + v**2 - 15*v - 2207. What is 6*h(d) + 13*k(d)?\nAnswer: -2*d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2549720 to the power of 1\/2, to the nearest integer?\nAnswer: 1597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2696 is divided by 225.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*b**2 - 15*b**2 - 2*b**2 - 4*b**2 + b**2 + 2*b**2 + (-b + 3*b - b)*(6*b - 5*b - 2*b) as m*b + l*b**2 + n and give l.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g\/g**(-2\/13)*g)\/((g\/(g*g*g*g*g*g**(2\/17)))\/g*g))\/((((g**(2\/9)*g)\/g)\/g)\/g*g*g**(-5\/2)))\/((g\/g**(-2\/7))\/g**(3\/4))**(-23) assuming g is positive.\nAnswer: g**(1218023\/55692)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -2*z + 3, 3*z = -l + 2*l + 11. Let c be (-10)\/(1\/(2\/l)). Do -0.01 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -45 + 1e?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*m**2 - m + m)*(-1033 + 1189 + 4305) in the form j + r*m + w*m**2 and give w.\nAnswer: -8922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -38, -35, -18, 19, 82, 177?\n\"Answer: w**3 + w**2 - 7*w - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 138 a factor of 848507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - u + 0)*(-3 + 3 - 2)*(2*u - u + 4*u)*(-2 - 2 + 3 + (-11 - 4 + 14)*(-3 - 2 - 1)) in the form k*u + m + y*u**2 and give y.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -119.94 - -119.77. Which is the third biggest value?  (a) k  (b) -0.125  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 25283, 50566, 75849, 101132, 126415?\nAnswer: 151698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1596 - 1596. Factor 4\/3*v**4 + i*v**3 + 0*v**2 + 0 + 0*v.\nAnswer: 4*v**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 6157537 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**3 + 100*o**2 + 735*o - 3. Give f(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-32)\/396)\/(176\/(-132))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 0 - 4*r + r + (-2 - 1 + 1)*(-4 + 2*r + 4) to n*r + c and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 30 - 61. Let f = 338 - p. Suppose -3*z - 10419 = -f. What is z rounded to the nearest one hundred?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that 5*j**5 + 970*j**4 - 10*j**3 - 1940*j**2 + 5*j + 970 = 0.\nAnswer: -194, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (12\/2)\/((-16)\/(-8)). Find the second derivative of -8*v**w + 0*v - 7*v**3 - 4*v + 2*v**3 wrt v.\nAnswer: -78*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 106201499 is divided by 4206.\nAnswer: 4205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c**3 + 4 - 5*c + 2*c**3 - 4*c**3. Let x(s) = 5*s**3 + 8*s - 6. Let z(w) = 8*p(w) + 5*x(w). Differentiate z(o) wrt o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4\/(-14))\/2 + 1\/7. Factor -4*m**2 - 15*m - 4*m**2 + l*m**2 + 3*m**2.\nAnswer: -5*m*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:23 AM and 10:11 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 - 1. Let r be (1\/((-615)\/(-6)))\/(32\/(-2008)). Let h = 1\/82 + r. Which is the nearest to -0.1?  (a) -2  (b) i  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 3 - 6)*(-5*v + 3*v + 0*v)*(-3 + 1 + 1) - 3*v + 4*v - 3*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*v**5 - 357*v**4 - 4213*v**2.\nAnswer: 300*v**2 - 8568*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, -0.07, 0.034, -0.2, 4, 0.169?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 13256589 to the power of 1\/3, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(36)\/(sqrt(45)\/sqrt(80))*6)\/((sqrt(54)\/sqrt(3) + sqrt(128)*-1)*-6).\nAnswer: 4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -82*x - 324. Let t be p(-4). Let -8\/3 + 32\/3*f + 38\/3*f**3 - 14\/3*f**t - 50\/3*f**2 + 2\/3*f**5 = 0. Calculate f.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 848213.\nAnswer: 848213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 3*y - 15. Let t be j(5). List the prime factors of 54 + (t - -3) + 1.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h**2 - h**2 - h**3 + (0*h**2 + 0*h**2 - 2*h**3)*(5 + 0 - 4))*(-2 + 2 - 2)*(15 - 10 + 0).\nAnswer: 30*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 2*q = 166, -13*b + 40 = -14*b + 2*q. Let j be -2 + b\/(-54) - (-4)\/3. Suppose 1\/9*y**3 - j*y + 1\/3*y**2 - 2\/9 - 1\/9*y**4 = 0. What is y?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10 and ((-3)\/12)\/((-1)\/16)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*b + 29*b + 733 + 254 = 0 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 148428285.\nAnswer: 3, 5, 19, 241, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -2*i**3\/7 - 260*i**2\/7 - 10334*i\/7 - 124476\/7 = 0.\nAnswer: -66, -41, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = b + 2*b. Let l = 60 - 57. Suppose 4*h - b = l*q, 4*q + q = h + 2. Which is bigger: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22169, -44338, -66507, -88676, -110845?\nAnswer: -133014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53246*t - 2592*t**2 + 2592*t**2 + 53246*t - 3*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -13 by -3702.\nAnswer: 13\/3702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -84 - -283. Let p = 220 - z. Calculate the remainder when 37 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes after 1:25 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express i**2 + i**2 + 6*i**3 - i**2 - 2*i**2 as q*i**3 + c*i**2 + g + d*i and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 2*h = 48. Suppose -39 = -h*g + 17. What is the smallest common multiple of 11 and g?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/4*2*-1. Let n(c) = -c. Let y(i) = -3*i. Let f(r) = r. Let s(b) = -9*f(b) - 2*y(b). Let x(m) = q*s(m) + n(m). Calculate x(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 1516667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 59496 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/((-6)\/(-460))*-12. Round s to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**5\/6 - 1207*m**4\/6.\nAnswer: m**4*(m - 1207)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 1 + 3)*(4*c**4 - 4*c**4 - c**4) + 6*c**4 - 4 - 5*c**4 + 2*c**4 as t*c + o + v*c**3 + p*c**4 + d*c**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 30593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, -2\/21, -0.2, -0.4, 67 in decreasing order.\nAnswer: 67, -2\/21, -0.2, -0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1312 rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*a + a**3 - 3*a)*(-a + 0*a + 0*a) + 112*a**4 - 176*a**4 - 190*a**4 + 2*a**2 + 3*a**4 - 2*a**2.\nAnswer: -252*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 695*s**2 + 1374*s**2 - 95*s**2.\nAnswer: 1974*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/(-2) - 1\/2. Let z = 617 + -617. Which is the nearest to j?  (a) -5  (b) z  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/2  (b) 126  (c) 0.5  (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the first derivative of -3*r**3 - 6*r - 1. Suppose -10 = 3*f - 5*d + 3*d, -2*f - 20 = 2*d. Let c(n) = -26*n**2 - 17. Determine f*c(l) + 17*h(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pdp when three letters picked without replacement from dpppppd.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (13\/4)\/((-3)\/(-180)). Suppose -21*v + p = -16*v. Let n = 72 - v. What is the remainder when n is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/6, 3, -4, 2\/5 in increasing order.\nAnswer: -4, 1\/6, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the second derivative of -25*x**4\/6 + x**3\/6 + 31*x**2\/2 + 14*x - 3. Find the second derivative of y(d) wrt d.\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1010000101001110 + 1?\nAnswer: -1010000101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (3\/(-21))\/((6\/7)\/(-6)). Let s be (((-12)\/(-28))\/l)\/(2\/14). Solve -4*h = -16, 4*c - 6 = s*c - h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7500*-27\nAnswer: 202500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 338*y**4 - 1420*y + 1420*y + (-3 + 13*y**3 + 3)*(-3*y + 0*y + 4*y).\nAnswer: 351*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 4, f: 2, o: 1}. What is prob of picking 1 o and 3 i?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -31.6988412 rounded to two dps?\nAnswer: -31.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(10\/9))**(-14\/3)*x\/x**(-15)*x**(-5) assuming x is positive.\nAnswer: x**(157\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((1034\/319)\/((-132)\/(-638)))\/(20\/(-12)).\nAnswer: -47\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -9603  (b) -2  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*r**2 - 79777333*r + 67 + 79777333*r.\nAnswer: -2*r**2 + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes after 2:55 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p = -5*p + 4, -160*i - 5*p + 11 = -157*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dpddddpaxaoaap. Give prob of picking 2 d, 1 a, and 1 o.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**2 - 4*r + 1. Let t(g) = g**2 - 6 - 22*g - 2 + 26*g. Let a be t(-6). Let l be h(a). What is the highest common factor of 2 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 664 by -8.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -0.2, 2\/11, -3, 0.3, -0.9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -18 + 17.828. Let q = y + 0.084. Let m = -2.188 - q. Round m to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11297 and 2794.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -1. Let l(r) = -16*r**2 + 4. Calculate l(f) + 6*x(f).\nAnswer: -16*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-m + 4*m + m)*(6*m - 955*m - 39*m) + 3*m**2 - 4*m**2 + 2*m**2)*(-1 - 2 + 1)*(-2 - 4 + 4).\nAnswer: -15804*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5982*s**2 - 6836*s + 42158268 wrt s.\nAnswer: -11964*s - 6836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 18 + 16 - 34 + 205*q**2 to the form m*q + y*q**2 + o and give y.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 37.47 times 0.237\nAnswer: 8.88039","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Is -4516366 bigger than 0.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(228)\/(2*sqrt(12)) + -4 + -1)**2.\nAnswer: -5*sqrt(19) + 119\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.28226259 to 2 decimal places.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 412762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 5 + -2 + 30\/(-8). Suppose 2*b + 10 - 20 = 0. Suppose 0*q - s = 5*q + 24, 5 = b*s. What is the third smallest value in -4, g, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 - 7 - 4*g - 2*g + 4*g.\nAnswer: -2*g - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - (21 - (7 - -3) - 3) - -61.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the first derivative of d**3\/3 - 15*d**2\/2 + 7*d - 1. Let s be y(15). Is s >= 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 - -1. Suppose -2*v - s = 0, 5*i - 2*v = -v + 6. Suppose -5*x = c + 25, -2*c - 21 = 4*x - i. Solve -20 = 4*g - c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 235 - 200?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-901)\/221 + (-8)\/(7 + -9)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 6*v**4 - 4*v**2 - 4*v + 11. Let y(l) = 12*l**4 - 7*l**2 - 7*l + 22. Let g(f) = -7*q(f) + 4*y(f). Find the first derivative of g(t) wrt t.\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1911197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 648*n + 87 - 67 + 99 + 154.\nAnswer: 648*n + 273","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9270, 18540, 27810, 37080, 46350, 55620?\nAnswer: 64890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -71*o*u**3 + 2*o*u**2 + 988*o*u + u wrt u?\nAnswer: -426*o*u + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 4*n**2 - 22*n + 7. Give s(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -10400, -42728, -96588, -171980, -268904, -387360?\n\"Answer: -10766*m**2 - 30*m + 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 139*h**5 - 182485*h**4 - 17430200*h**2 + 2 wrt h?\nAnswer: 8340*h**2 - 4379640*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 184548127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 49574\/1053657 + -1\/36333. Calculate the common denominator of b and -35\/29.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 110732 is divided by 55317.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 0, 16.8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 39 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 17 - 10. Let c be j\/(-28) - 178\/(-8). Suppose -30000 = -c*q + 17*q. What is q rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkakaaakkakakkakkkk. What is prob of picking 1 k and 2 a?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/6 and 23\/78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) 5  (c) 0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from {p: 7, y: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1176*b*f**2 + 4*b*f*l**2 + 2379*b*f - 1307*f**2*l**2 + 10*f + 8*l - 2 wrt f.\nAnswer: 2352*b - 2614*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12411*j + 12451*j - 24870*j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11173, 44389, 99749, 177253, 276901, 398693?\nAnswer: 542629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1597*s - 3195*s + 1598*s - 9123*s**2 + 9107*s**2.\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -299520, -1198073, -2695662, -4792287?\nAnswer: -7487948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 p, and 2 o when four letters picked without replacement from {z: 2, o: 1, b: 2, p: 1, q: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p*((p*p**(-6)*p)\/p)\/p*p)\/p**(-7)*p**(3\/7)*p**(3\/5)*((p**(-2\/3))**(-13))**(6\/25) assuming p is positive.\nAnswer: p**(1244\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.053026 + 10.98043.\nAnswer: 11.033456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5580 and 6696.\nAnswer: 33480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.09 >= 229430?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -132748*i**2*s**2 + 228*i**2*s + 2*i*s**2 - 11*i*s wrt s.\nAnswer: -265496*i**2 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes after 4:05 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3356718?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 3*c**2. Let h(a) = -a**2 + 33. Let n(d) = -1. Let u(o) = -h(o) - 3*n(o). Calculate u(z(j)).\nAnswer: 9*j**4 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/20)\/((-2)\/(-2))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 327 minutes after 2:06 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 - 18*g - 31*g + 34*g + 12*g**2 - 3*g**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4\/5?  (a) -4  (b) -1\/2  (c) 2\/65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 4, y: 3, e: 5, n: 1}. Give prob of picking 1 e, 2 j, and 1 y.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 36 + -32. Let s(d) be the second derivative of 0 + 3*d - 2*d**3 + 9\/4*d**l + 0*d**5 + 3\/4*d**2 - 27\/20*d**6. Factor s(c).\nAnswer: -3*(c + 1)*(3*c - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*s + 6 = 3*c, 3*s = -78 + 151 - 85 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-5)\/(5\/2) - -2. Suppose m = -4*s + 77 + 3. Suppose 3 = -2*b + 9. Solve -s = 2*a + b*a + 5*d, -3*a + d = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange v**2 + 2052*v**4 + v**3 - 2 + 0*v**3 + 0 - 10*v - 2049*v**4 to a*v**3 + r*v**2 + g*v + n + p*v**4 and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 16924 - ((-7)\/2 + (-6)\/4) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 126 + -231. Let z be (15\/5)\/(-3)*1. Is n\/(-7) + z + 0 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.003 - -3795988366264?\nAnswer: 3795988366264.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 f, and 2 v when four letters picked without replacement from tvtfatvtf?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c**3 - 5*c**2 + 4*c + 2. Let f be ((-7)\/(-21))\/(1\/(-3)). Let i = f + 5. Let b be a(i). Solve 0*l = -l + b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q**2 + 3*q**2 + 0*q**2)*((-3*q + 0*q + 2*q)*(0 + 1 - 6)*(5*q**2 - 7*q**2 + 4*q**2) + 0*q**3 + 4*q**3 - 3*q**3 + (0 - 2*q**2 + 0)*(2*q - 5*q + q)).\nAnswer: 30*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -50\/21 + 613\/231. Suppose -4*m + 15 = m. Suppose -x + 2*h = 4 - 14, -h = m*x + 5. Which is greater: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 10\/7 of a week?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -751*x + 766*x + 308*x + 1840*x + 846*x to the form f + n*x and give n.\nAnswer: 3009","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**10*c**(1\/56)\/c*c*c**(-3\/11)*c**31)**(-1\/17) assuming c is positive.\nAnswer: c**(-25715\/10472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sum 76216.4919004 and 1.\nAnswer: 76217.4919004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -384.1 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.51167 to 3 dps.\nAnswer: 0.512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**1*v*v)**25 assuming v is positive.\nAnswer: v**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-132)\/(-946) + (-52572)\/40248?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000055897 to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 + (1 - -22) + (-3 - (-7 - 5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 11538, 92350, 311692, 738828, 1443022, 2493538, 3959640, 5910592?\n\"Answer: 11544*t**3 + t**2 + t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -44, -91, -138, -185, -232?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 81623331?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-8)\/u**(-9\/11))\/(u**(15\/2)*u**31) assuming u is positive.\nAnswer: u**(-1005\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*c**4 - 36*c + 9*c**4 - 2 + c**2 + 0 + 0 in the form i*c**3 + a*c**4 + n*c**2 + j + l*c and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (3954\/(-659))\/(12\/(-22))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 u when two letters picked without replacement from uqtt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*j + 59977 = 17*j + 14677. Calculate the smallest common multiple of j and 22.\nAnswer: 16610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**3 + 5*x**2 + 6*x + 8. Let o be 84\/15 + 4\/10. What is j(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 - 1. Let s = 0.3 + 1.7. Let g = -1.8 + s. Which is the second biggest value?  (a) 2\/11  (b) y  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 49, -1, -2\/23, -164?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/((12\/42)\/2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -352 - -352. Solve t = 5*p - 50 + 60 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2614318386 and 516?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*m + 20*m - 96 = 0. Calculate the remainder when 143 is divided by m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(130) - (sqrt(130) - -6*2*sqrt(130) - sqrt(130)))\/sqrt(10) + -4)**2 + -6*(sqrt(1053) - (3 + sqrt(1053)*-1)).\nAnswer: -20*sqrt(13) + 1607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1639 by 1.\nAnswer: 1639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2375 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -4*(0 + sqrt(432) + 5 + sqrt(432) + sqrt(432)*2*-4)**2 + -1.\nAnswer: -62304 + 2880*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 812853359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1 and 95\/(6 - 1242\/50) + 5.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 117 a factor of 8052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i**3 - 12192*i**2 - 12183*i + 24378 = 0. What is i?\nAnswer: -4063, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 118 = 3*o - 11, 0 = 2*o + 5*v - 93. Suppose 0 = 4*z - x - 49, 2*x = 3*z - x - o. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 905 - 298 - 306 - 304 - 2*g.\nAnswer: -2*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -225290 divided by 17330?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(1\/5)*h*h**(-5)*h)**(-2\/19) assuming h is positive.\nAnswer: h**(18\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2860417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 93\/(-1081) - (-1270)\/29210?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 116761 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 344 and 12.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) 48  (b) -0.1  (c) -0.8  (d) -27  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u**10\/u)\/u)\/(u**(1\/5)\/u))\/(u**(-1\/5))**(-2\/9) assuming u is positive.\nAnswer: u**(394\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7*(-6)\/168*6*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 5721979 (base 11) to base 4\nAnswer: 212031202312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the second derivative of -u**5\/140 + u**4\/84 + 20*u. Factor g(y).\nAnswer: -y**2*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 63*g**2*p**4 - g**2 + 4*g*p**4 + 2*p**3 - 1071*p**2 wrt p.\nAnswer: 1512*g**2*p + 96*g*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1978.066 - -1978.04600049. Let b = -0.02 - f. Round b to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1351*q + 52 = 6*j + 1349*q, 5*q = 4*j - 75 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w = 22*w + 22. What is the closest to 2\/9 in 1\/10, 3\/5, -2\/21, w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the first derivative of r**3\/3 + 2*r**2 + r + 11. Let w = -8 - -3. What is f(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 19*i**2 - 101*i + 30. Calculate s(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the first derivative of q**5\/60 - q**4\/12 - 7*q**3\/3 + 2*q + 27. Let k(z) be the third derivative of d(z). Let w(f) = -f. Give k(u) + 5*w(u).\nAnswer: -3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -6*c**3 + c**2 + 2*c - 4. Let m be p(3). Let o = 104 + m. Let l = o - -74. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 + 24 = 2*u. Suppose -4*l = -2*p - 8, 2*l + u*p + 8 = -12. Let w = l + 6. Solve -4*x + w*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -2*p, -2*v + 15*p - 17*p = -1238. Is 7 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 972 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -g + 16, 20 = 115*g - 119*g + 6*j. Solve -17\/4*o**2 - 1\/2*o**3 + 0 + 17\/4*o**g + 1\/2*o = 0 for o.\nAnswer: -1, 0, 2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-1)\/6)\/(1\/(-4)). Let d = -1.8 - -1.8. Which is the biggest value?  (a) f  (b) 1  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 211549, 211550, 211551, 211552, 211553?\nAnswer: 211554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 21193427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 327734?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**3 + 74*g**2 - 536*g + 659. Determine s(66).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*1*-6*24\/(-16).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 4*l - 16*l + 4 - 5. Is 20 a factor of b(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 50841657 divided by -2\nAnswer: -50841657\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u + 4*f - 61924, -7 = -5*f + 4*f. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, z: 6, x: 4}. Give prob of picking 2 x.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 710*x + 141 = 707*x for x.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h - 1, 5*t - 4*h + 55 = 246. Suppose -3*o + 3*s + t = 2*s, -s + 3 = 0. Calculate the greatest common factor of 42 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 4*x + 127229, -32483 + 244592 = 5*o + 2*x. What is the thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -63 - -64. Which is smaller: 2\/9 or o?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j = -3*a - 7*j + 2, -a - j + 2 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 14692196605 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2246804 - 2246799.000003. Let n = l - 5. Round n to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -232*y = -546 - 204 + 54 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 + 8 + -13 + -3 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*n**4 - 7091*n**2 - 5*n - 2 - 3*n**5 + 7091*n**2 wrt n?\nAnswer: -60*n**3 - 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5434 by -286.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 19181 and 71?\nAnswer: 1361851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1929890161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -67 - -220. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6524858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**3 + 29*w**2 - 564*w - 16573. Give j(-28).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5380 divided by 13.\nAnswer: 5380\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 744439 is divided by 148?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 - -3. Let b(y) = y**2 - 5*y + 6. Let u be b(a). Let z be 1\/((20\/8)\/5). Solve 2*i = i - z*c, u*i - 3 = -c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k - 5. Let s be c(5). Solve 2*g = -b - b - 4, s = 5*b - 4*g - 26 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -5*j + 82. Give m(14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p**3 + 2*p**3 + 9*p**3)*(5*p**2 - 4716 + 4710 + p**2).\nAnswer: 60*p**5 - 60*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(13) + -1*sqrt(13)*-1 + (-4 + sqrt(13) + -1)**2 - (2 + sqrt(208))*2.\nAnswer: -16*sqrt(13) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d**5 + 0 + 0 + (-3*d**4 + 8 - 8)*(-3*d - 2*d + 4*d) + (0*d**4 + 8*d**4 + 10*d**4)*(15*d - 32*d - 54*d).\nAnswer: -1276*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10)\/40)\/((-1)\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 7 + 1*(0 - -1). Suppose -4 = -l - 2. What are the prime factors of 4 + -3 - (l - g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 5*p + 16 = 0, 2*w = w + 4*p + 11. Let m(v) = 6 - 6 + 4 - 7*v + v**3 + 1 - w*v**2. Let t(r) = -r**2 - 7*r - 2. Let z be t(-6). Give m(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 70 - -63.3708179734?\nAnswer: 133.3708179734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 2*d + 1. What is n(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m and 1 b when four letters picked without replacement from mmmmmmmbmmb?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4077394.\nAnswer: 2, 23, 137, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 48, 103, 186, 309, 484?\nAnswer: 723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**4*z)\/z*z)\/(z**0*z))**(-15)*(z**(-2\/11)\/z**(1\/5))\/((z\/z**1)\/(z*z*z*z*(z*((z*z**(2\/3))\/z)\/z*z)\/z*z)) assuming z is positive.\nAnswer: z**(-9028\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 19*u. Let v(i) = -5*i + 462. Give k(v(w)).\nAnswer: -95*w + 8778","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 60 + -51. Suppose 29 - 4 = 4*d - 5*h, 21 = 5*d + 4*h. What is the smallest common multiple of d and r?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h = -3*h + 9. Let x be (h - 1) + -1 + 13 + 8. What is the greatest common divisor of 110 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 5*n + 3*y, -6*n = -2*n - 2*y. Suppose -t + 469 = -n. Suppose t = 4*q + q. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 4605 and 69.\nAnswer: 4674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s - 1. Let m(t) = -3*t**2 + 6*t + 7. Let o(x) = -m(x) - 6*n(x). Suppose -5*p + 12 = -p. Suppose v = 3*b - 2, 3*b + 1 - 13 = p*v. What is o(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 k when two letters picked without replacement from {k: 3, n: 1, z: 5, j: 4}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/h**(-1\/5))\/(h\/h**(-34)))\/((h\/(h*h\/h**19)*h)\/h)**(-33\/4) assuming h is positive.\nAnswer: h**(1147\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 - ((-151)\/(-12) - 10)\/((-11)\/(-44)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**3 - 13*i**2 - 11*i + 5. Give o(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 21 + 19?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-6484)\/6)\/(3*8\/(-36)).\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3645 - 62682?\nAnswer: -65cc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 257868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1482675801 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 20 = -5*p - 0*p, -3*p - 6 = 0. Solve -f*x - 3 = -3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18773198 and 4.\nAnswer: 37546396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a meter in micrometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -276 = 4*b + 2*b. Let l = b + 53. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 56*r**2 + 3 + 40*r**2 + 62*r**2 to the form h*r**2 + x + l*r and give h.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -2134*o**2 - 8538*o - 6. Give i(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 150162 * 109\nAnswer: 16367658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 14*b - 6. Let k be n(7). Let h = 24 + k. Suppose -3*a + h = a. What is the remainder when a is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 132129 and -0.5?\nAnswer: -66064.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + (-2 - (-6 - -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 766*c**2*x**2 - 527066*c**2 - 8*c*x + 4*c - x**2 + 111918 wrt c?\nAnswer: 1532*x**2 - 1054132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5 + 45081?\nAnswer: 45075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 967194253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 78954667 * 1.\nAnswer: 78954667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -25.064 + 0.064. Let t = s - -5. Let z = t + 20.0000057. Round z to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -15\/227 <= -0.1069?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 94*b + 5*b - 152 = 23*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**2 - 5*g - 1. Let h be c(6). Suppose 2*d + 2*m - 55 = -727, 2*m = -5*d - 1671. Let t = d + 333. Solve t = -n + h*n - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2*l**2 + 2)*(2*l - l**3 - 2*l) + (-104 + 4*l**2 + 104)*(-2*l**3 - 4*l**2 + 4*l**2).\nAnswer: -6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (225\/(-875))\/(6\/(-20)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = 49*o - 43*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12\/12 - (-15 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -11291 >= -15552?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75*h + 68*h + 112 = 0. Suppose -17*f + 396 = h*f. Suppose -5*m = -4*t + t - 54, -4*t - 28 = -3*m. What is the greatest common divisor of f and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (10 - 9) + (-2 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 7*p**3 + 2*p**2 + 2. Let s(r) = -21*r**3 - 7*r**2 + r - 7. Let q(a) = 14*i(a) + 4*s(a). Find the second derivative of q(f) wrt f.\nAnswer: 84*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(2\/19)\/(u\/(u**(-2\/29)*u)*u*u) assuming u is positive.\nAnswer: u**(-1082\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6*b*y + 10*b + 73*y + 2 wrt b.\nAnswer: -6*y + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*n**2 - 49*n**2 + 0 + 0.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -282777 (base 9) to base 8\nAnswer: -521211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of 4693168 and 0.048.\nAnswer: 4693168.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that -5*s**5 + 10*s**4 + 445*s**3 - 450*s**2 = 0.\nAnswer: -9, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -11 - -28. Let u be 2\/(((-8)\/22)\/(-2)). Let h = u - 6. What is the remainder when d is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 2*l + 3*l - 23 = 0, 3*f = 2*l + 9. Determine z so that 4*z + 5 + 3*z**3 - 6 + f*z**2 - 3*z = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -3*v**2 + 11*v + 4. Let q be 4*(-1)\/(-2) - 0. Suppose m = -1 - 4. Let r(p) = -p**2 + 5*p + 2. Let g(c) = m*r(c) + q*a(c). Solve g(f) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*h*l**3*x**3 - 268226*h*l**3*x + 187*l**3*x**3 - 4*l**3*x - 2*l*x**3 + 394 wrt h.\nAnswer: 2*l**3*x**3 - 268226*l**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 412510 (base 6) to base 3\nAnswer: 1200021220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 78304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -3520302.79 to the nearest 100.\nAnswer: -3520300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:08 PM and 3:56 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 60006572.\nAnswer: 2, 677, 22159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -259\/20 - -13. Find the common denominator of b and -145\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2358209*j**2 + 1179142*j**2 + 1179110*j**2.\nAnswer: 43*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the second derivative of -s**4\/12 + 2*s**3\/3 + s**2\/2 + 5*s. Let t(a) = 3*a**2 - 9*a - 2. Calculate 3*t(p) + 7*z(p).\nAnswer: 2*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*a = 54 + 546. What is the highest common factor of a and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 79 + 186 = 0. Suppose t*x = 57*x - 20. Let w(v) = 5*v**2 - 4*v - 4. What are the prime factors of w(x)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 divided by -56519.\nAnswer: 9\/56519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 49192 - 16699. Is 44 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 80 and 39024?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -5*((-13)\/5 - -1). Suppose 0*o - 4 = -o. Suppose -4*h - b - 8 = 0, o*h - 6 = -2*g. What is the remainder when 21 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -4*n + 52*n + 6*n**2 - 5 + n**2 - 4*n**2 - 5*n**2. Calculate o(24).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 425 + -422. Suppose 0 = -3*t + 2*p + 13, -4*t - 2*p - 1 = -3*t. Suppose -t*j + 2 = -2*j. Solve -5*c - 3*b - 5 = 0, -d*c = j*c - b - 15 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 24 + -16. Let g be l\/(-2)*(-6)\/8. Solve 2*c - m = -g, -3*c + m = -7*c - 21 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3\/10  (b) -4  (c) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 22*s + 3 - 58*s + 20*s - 2 + 19*s. Let c = 1 + -2. Determine r(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.022 - 0.978. Let m = 29 - 320\/11. Which is the second smallest value?  (a) v  (b) 4  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (11\/363)\/(1\/(-6)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 505 and 404?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -14 - -9. Let s = 569507 - 569507. What is the nearest to s in 178, b, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*n - 109 = 5*f + 461, 2*n - 56 = f for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1652*b + 47944 - 148716 for b.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*f - 8*f - 3*f + (3*f - 3*f + 3*f)*(1 + 1 + 0) + (f - 4*f + f)*(2 - 2 + 1) to the form g*f + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 81483 and 1038?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12900 and 1144750?\nAnswer: 295345500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cm when two letters picked without replacement from hcttttmh.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14452391 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-1\/42))**(-1\/2)\/(i**(-1\/7)\/i**(1\/13)) assuming i is positive.\nAnswer: i**(253\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 143634 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1050 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 40577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*v**3 - 30*v - 2*v**2 + 30*v to h*v**2 + i + p*v**3 + f*v and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 7396031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2315 is divided by 1035.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 5046 times 4\nAnswer: 20184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7748, 30990, 69738, 123998, 193776?\nAnswer: 279078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11230694?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1388 and 51706817?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4*(-1)\/(-52)*-2. Let g be (4\/7)\/(30\/595). Let x = g - 59\/6. Which is bigger: x or u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 482961 at least as big as 965921\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 4*r, -1 - 18 = -2*t - 3*r. Suppose -j + 180 - 33 = -3*b, 5*j + t*b - 795 = 0. What are the prime factors of j?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes after 9:19 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 169\/462 and -125\/49104.\nAnswer: 343728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 - 8 - -10 - (-46 + 45).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -11*t**2 - 474*t - 38. What is w(-43)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 2, 2\/11, 0.5, 1\/7, -1.95 in increasing order.\nAnswer: -1.95, 1\/7, 2\/11, 0.5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 104 is divided by 58.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -588*j = -579*j - 49581. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4199 - 3809. Solve o*i - 393*i = 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1577.0025 to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 36 = -4*d, 2*d - 13 = 3*r - 2*d. Let a = -5 - -3. Let q = 13408\/9 + -1490. What is the smallest value in a, q, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 5242958213 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 0*x**2 - 1002148 + x**2 - 25*x + 1002243. Give g(21).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*i = -29*i - 2460 for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 11?  (a) 1\/3  (b) -15282  (c) -81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x - 2*d = 10, 33*d + 12 = 4*x + 29*d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3\/4, 2\/17, -108, 5\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > -3884\/549695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13090?\nAnswer: 2, 5, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.183 and -1218.\nAnswer: -222.894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -49, -2\/7, -2\/45?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-15)\/(-21)*8\/20. Let u = -31.37 + 30. Let j = u - -0.37. Which is the smallest value?  (a) -5  (b) r  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 - 15 + 8845*j + 81 + 13.\nAnswer: 8845*j + 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49837 is divided by 89.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 186 = 234. Suppose 3*y = 6*y - 2*r - x, 0 = -r. Let p be y\/24 + -2 - 3. Which is the fourth smallest value?  (a) -1\/4  (b) 0  (c) 0.4  (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6487973 and 1019?\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 take away -61754041.9?\nAnswer: 61754041.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 k when two letters picked without replacement from {t: 2, c: 2, j: 1, k: 1, z: 12, u: 2}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 - -1. Let b(l) = -l**3 - 5*l**2 + 9*l + 9. Let d be b(-5). Let j be ((-15)\/4)\/(d\/48). Sort v, j, 4 in increasing order.\nAnswer: v, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the first derivative of k**10\/2520 - k**6\/360 - k**3\/3 - 1. Let d(m) be the third derivative of p(m). What is the third derivative of d(y) wrt y?\nAnswer: 240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 - 0. Let t = -131.108 + 129. Let k = b - t. What is k rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-25659*o + o**3 - 220*o**2 + 25659*o)*(-o**2 + 2*o**2 + o**2)*(-3 + 2 - 1).\nAnswer: -4*o**5 + 880*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00018198569 rounded to six dps?\nAnswer: 0.000182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 26 - 24. Solve i*u = 2*j + 8, 3*j = j - 3*u + 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2\/3, -1060296 in increasing order.\nAnswer: -1060296, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 s when two letters picked without replacement from {s: 1, t: 2, f: 4, a: 9}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t - 11*t = -3*g + 6*t - 19*t + 42, 0 = -3*t - 36 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + 54\/(-4 - -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1850 and 3\/31 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (136 - 3) + 2 + 0 + -4. Let o = f + -128. Solve -2*h - 2*h + p = 16, -o*p = h + 17 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12827 divided by 21\nAnswer: 12827\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 518060518?\nAnswer: 2, 521, 541, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -cb41 (base 13) in base 6?\nAnswer: -334524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*d**2 - 1510*d + 10325.\nAnswer: 5*(d - 295)*(d - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-23)\/(y\/((y\/y**(-6))\/y))*(y*y**(3\/5)*y)**(-1\/23) assuming y is positive.\nAnswer: y**(-2083\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 57 + -142. Suppose -5*n - i + 884 = -0*i, 179 = n - 2*i. Let f = u + n. What are the prime factors of f?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1008651?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -20609449 - 4?\nAnswer: -20609453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 61 + -51. Suppose y*i = 4*i + 24. Factor -53*s**i - 2*s + s**2 + 55*s**4 + 2*s + 3*s**3.\nAnswer: s**2*(s + 1)*(2*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 82575659 and 102509.\nAnswer: 9319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 135 - 134. Put -5, w, 13 in descending order.\nAnswer: 13, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6111*i + 46450 - 92896 + 46446 as d*i + g and give d.\nAnswer: 6111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(108) - (sqrt(108) - (1*sqrt(108) - sqrt(108)))) + 5 + sqrt(528)\/(sqrt(11)*2))*6*-4)**2*-6.\nAnswer: -127872 - 69120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27 - -1*1\/(10\/(-50)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -280*a - 3846. What is the remainder when o(-15) is divided by 48?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s\/(s**12\/s)*s**(-2)*s)\/(s**(-16)\/(s*s**(1\/8))) assuming s is positive.\nAnswer: s**(57\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 10*w**2 + w + 1. Suppose 0 = -2*x - 5*c + 23, 3*x + 3*c = -c + 17. Give j(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**2 + 1. Give i(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/8085 and -67\/78100?\nAnswer: 11480700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 7*t. Let p(a) = -627*a. What is p(y(b))?\nAnswer: -4389*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-159)\/(-84) + (-1)\/7. Let h = 29\/12 - p. Suppose 3 = -3*x + 6*x. Is x < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 75 and 54?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t + 4*t - 2*t)*(0*t**2 - t**2 + 0*t**2) + 3 - 3*t**3 - 3 - 215*t**3 - 13921 + 13921.\nAnswer: -219*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bff when three letters picked without replacement from {o: 1, f: 4, c: 1, b: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 2613*z**2 + 4*z + 11. Does 123 divide y(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33872 to the power of 1\/2, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i**2 - 2*i**2 + 2*i**4)*(7*i + 14*i - 5*i).\nAnswer: 32*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*s + 11 = 11 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(((-18)\/(-4)*(-1)\/(-6)*-2)\/12)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1.7 times 444.1\nAnswer: -754.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1895001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*o - o + 5*o + 88*o**5 + 208*o**5 - 583*o**2 wrt o.\nAnswer: 17760*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - 8 - (-39 + 40)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**2 + z. Let g(s) = 10*s**2 - 3*s**2 + s**2 + 2*s**2 + 2*s. Let k = -887 - -888. Determine k*g(a) - 2*r(a).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put together 8554 and -5328.6.\nAnswer: 3225.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35 is divided by (-30)\/(-4)*(-16)\/(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 3*x = 627, 0 = -3*x + 9 + 3. Calculate the remainder when z is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 27 - 25. Let a(u) = u - 14. Let h be a(12). What is the closest to -1 in h, c, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3722?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -361*s - 47. Is 11 a factor of a(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 5*v**2 + 1. Let g be p(-1). Let s = g + 8. Suppose -4*z = -3*x + s, -2*z - z - 8 = -2*x. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + u - 5*p = -42, -3*p = 4*u - 38. Suppose -2*q + u - 16 = 0. Which is smaller: q or -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 8362, 8856, 9338, 9802, 10242, 10652?\n\"Answer: -f**3 + 501*f + 7862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**2 + v - 7. Let n be s(-4). Suppose n*m - 336 = m - 4*x, -2*m + 159 = -x. Calculate the remainder when m is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5 + -12 - -2) + (-2 - -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -1754 + 228*g - 1755 + 169*g + 3511 in the form s*g + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -5  (b) -1  (c) -38\/13  (d) 427\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 131*z + 2. Let f(g) = -2*g. Let y be f(-2). Suppose -2*p = 0, 0 = -4*s + 3*p + y - 0. Is q(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -56 (base 8) to base 12\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -27*g**5\/4 + 1608*g**4 - 42450*g**3 + 2928*g**2 + 169908*g - 37440 = 0.\nAnswer: -2, 2\/9, 2, 30, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 366 and 427?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.0675 in 0, -1\/2, -2\/15, -0.13, -1\/4, 0.4?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -2*z - 22. Let p be q(-12). Suppose 2*c + p*c - 352 = 0. Let a be (-1 + 12)*2\/2. What is the highest common divisor of c and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 278216 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 9522549, -0.3 in decreasing order.\nAnswer: 9522549, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4397.44 rounded to the nearest ten?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9.1 - -9. Sort -0.02, -1, d.\nAnswer: -1, d, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8081a9 (base 14) to base 2.\nAnswer: -10000011111111000011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes before 12:49 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4*s**3 + 209577*s - 1239292 wrt s?\nAnswer: 12*s**2 + 209577","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 183*c + 92. Let j(o) = 3*o**2. Give j(v(t)).\nAnswer: 100467*t**2 + 101016*t + 25392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/1430220 and -82\/8743845?\nAnswer: 384729180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 114 (base 5) in base 8?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 26539 or 62?\nAnswer: 26539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 268, 255, 232, 199, 156, 103?\n\"Answer: -5*g**2 + 2*g + 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*y + 6*y - 7*y + (-2 + 3 + 0)*(-4*y - 33 + 33) in the form i*y + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (122 + 324 + 14)*(3 - 3 + 2*b) in the form o + n*b and give n.\nAnswer: 920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 156\/(-702) + (-5834)\/(-9). Let k = 650 - j. Let m = -2 + 0. Which is the third smallest value?  (a) 46  (b) k  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -46, 658, -1.76 in decreasing order.\nAnswer: 658, -1.76, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 11*p - 33. Let y be n(10). Let u = 77 - y. Suppose -3*x + r + 54 = u, -4*x - 2*r - 23 = -5*x. Do x and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, 1.87, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 < 3\/3565277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 15295*m + 152953. Calculate v(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes before 3:29 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000054547 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 13?  (a) -4\/9  (b) -2  (c) -3  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 215*u**3*x + 421*u**3 + u**2 wrt x?\nAnswer: 215*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 81.99243ml to litres.\nAnswer: 0.08199243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**1)\/x*x)**(-10)*(x\/(x*x\/(x\/x**(-1))))**22 assuming x is positive.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -14 * 226892\nAnswer: -3176488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + -1 + -1 + 3 + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*y + 5*u + 23 = 49*y, 11*u + 42 = y + 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(624) - sqrt(624)*1)*1 + sqrt(624))\/(3*sqrt(48)\/sqrt(4)))\/(((sqrt(80)\/(2*sqrt(5)) - sqrt(16)) + sqrt(16))\/((sqrt(88)\/sqrt(2))\/sqrt(11))).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -2 - 4 + 48*d**2 + 2 - 42*d**2. Let m(j) = -2*j**2. Determine u(m(o)).\nAnswer: 24*o**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + -7 + 0 + 42 + -15.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1165 (base 11) to base 4\nAnswer: -113303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**2 - 49*h + 138. Let v be j(3). Let r(x) = 2*x + 9. Calculate r(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 258574.5 millilitres to litres.\nAnswer: 258.5745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*g*k**3*o**2*q + 98*g*k**3*q - 2*g*k**2*o*q + g*k*o**2 - 219*k**2*q + 2*k**2 + o*q wrt k?\nAnswer: 18*g*o**2*q + 588*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and -44.8266.\nAnswer: 44.8266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1827122?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9357.0000006975 + -9357. What is b rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000408372 rounded to 7 dps?\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1834*b - 41892 = 9460 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -91, -268, -533, -886, -1327?\n\"Answer: -44*k**2 - 45*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30 + (7\/(-14) + -1 + 6 - (-16)\/(-32)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(2187)*-1)\/sqrt(9))**2.\nAnswer: 18*sqrt(3) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37868095?\nAnswer: 5, 17, 445507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/30 of a decade?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**2 - g. Let o(v) = v**3 + v**2 - 5*v + 8. Let x(i) = o(i) - 3*p(i). Give x(-6).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 2714088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 4*a - 2. Let l be g(1). Find the second derivative of -10*w**2 - 3*w + 5*w + 4*w**l wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-27)\/(-216))\/((-10)\/8) - 74\/(-140). Which is the nearest to -14?  (a) 1  (b) 5  (c) z  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-990)\/(-176) + (-7 - 2\/(-2))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 3*q - 231 = 0, 2*q - 25 = -u - 107. Calculate the remainder when 143 is divided by 15*(u\/(-225))\/((-4)\/(-30)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1040 and 22?\nAnswer: 11440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -15*o**2 + 116311*o - 116298. Determine d(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*y + 19*y - n + 20 = 0, 3*n - 12 = 3*y. Let h be ((-2)\/y)\/((-22)\/20152). What is h rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*m**3 - 6*m**3 + 0*m**3)*(3 - 3 - 1)*((-2*m + 1 - 1)*(2 + 0 - 1) + 0*m - 6*m + 3*m + 5*m - 3*m + 2*m).\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1353*a**4 - 22*a**5 + 1353*a**4 - 6*a - 20*a wrt a.\nAnswer: -440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 divided by -6?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(209)*-2*-6)\/((sqrt(11) - sqrt(33)\/sqrt(3) - sqrt(11))*2).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes after 10:17 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {a: 8, k: 5}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-3)\/(-12) - (-10648)\/32?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6299125 and 439139?\nAnswer: 7199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**3 + m**2 - m + 2. What is the units digit of n(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 828 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 12*h**2 - 2*h**2 + h**2. Let u be (-2)\/1 + (1 - 1). Let f be i(u). Calculate the greatest common divisor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 60\/690 - (-2376)\/184. Solve -7 + 20 = -j*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c\/(c\/c**1))*(c*c**(4\/3))\/c*(c**(-1))**(-4\/9))**(-6\/7))**11 assuming c is positive.\nAnswer: c**(-352\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the first derivative of 11\/2*v**4 - 89 + 0*v**5 + 0*v**6 + 113\/3*v**3 - 3\/7*v**7 + 0*v**2 + 0*v. Find the third derivative of i(y) wrt y.\nAnswer: -360*y**3 + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d\/(d\/(d\/d**(-2\/5)))*d))**(-48)\/(d*d*d**0*d*d\/(d**3\/d*d))*(d**4\/d)\/(d**(1\/9)\/d*d*d)*((d\/d**(4\/9))\/d)\/d*d*d**(-1\/9)*d assuming d is positive.\nAnswer: d**(1028\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28938, -28926, -28906, -28878, -28842?\nAnswer: -28798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -23.5 + 23. Which is the smallest value?  (a) 2  (b) -1\/3  (c) 2\/7  (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*z - 2 + 17 - 12*z.\nAnswer: -2*z + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 14613 = 5*n - 0*j, 4*n - 4*j = 11716. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3*6*(-2)\/(-162)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12541947.\nAnswer: 3, 11, 380059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {d: 9, p: 3}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zhhhhhzhhzhhhz. What is prob of picking 2 h and 1 z?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12772090 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -3*k + 5. Let o(l) = l**2 + 7 + 3*l**2 - 6. Let i be o(-1). Suppose -m - 2 - 13 = i*u, -4*m + 2*u = -28. Determine p(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -165*q**2 + 122*q**2 - 249*q**2 - 74*q**2.\nAnswer: -366*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*q + w - 68 = -w + 6*w, 4 = -2*w for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 5 = 10. Let t be 5\/f - (-14)\/6. Solve -3*q - t = -3*v - 5*q, 2*q + 22 = 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c - 3*z + 15 = 0, 1240*c + 5*z = 1245*c + 30 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 19*-1 - (11926\/(-134) - -107)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -19*c + 16. Calculate the remainder when j(-2) is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three sixteenths of a day in minutes?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b + 4 + 0 + 4 - 2. Give m(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**2 - 22*k + 670. What is o(-28)?\nAnswer: 502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -104, -178, -268, -368, -472?\n\"Answer: u**3 - 14*u**2 - 39*u - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 360789 is divided by 161.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 1 - 16*t**3 - 1.\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1031*j*x + 18*j - 15*x - 739 wrt j?\nAnswer: 1031*x + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 99503 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from cccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*t + 4*p = -30*t - 16, 3*p = -5*t + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -8*p**3 - 10*p**2 - 11*p + 5. Let u be a(-5). Let i = u - -358. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1244 is divided by 229.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -393  (b) 0.16  (c) -282\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 37*p - 184. Let j be k(8). Suppose w + j = 116. Solve 14 = w*a - 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26056*x**3 + 51897*x**3 - 25988*x**3.\nAnswer: -147*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the second derivative of 1\/240*i**6 - 1\/32*i**4 + 18*i - 1\/6*i**3 + 0 + 1\/80*i**5 - 1\/4*i**2. Factor u(w).\nAnswer: (w - 2)*(w + 1)**2*(w + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of m**2*z + 4248188*m*z - 9012203*z wrt m?\nAnswer: 2*m*z + 4248188*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-32)\/(r\/(r**8\/r)))\/(r**(-3\/11)*r**(-26)*r) assuming r is positive.\nAnswer: r**(-8\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2a2ec - -15a?\nAnswer: -2a192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4 - -8. Suppose 3*j - 159 = 6*u - 11*u, 161 = 5*u + 2*j. Calculate the lowest common multiple of u and p.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6 - ((-9)\/6 + (-262700)\/(-8)). What is t rounded to the nearest one thousand?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.3 - -1.3. Put -4, c, 5 in descending order.\nAnswer: 5, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, t: 1, g: 1, j: 1, z: 1}. What is prob of picking 1 j and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (85\/(425\/14)*200\/14)\/(2\/(-4)).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 8  (b) -0.01  (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3020396400.\nAnswer: 2, 3, 5, 7, 29, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 62, 2, -1\/8, 2\/89?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -49 + 46. Let r be j + (56\/6)\/2. Solve 2\/3*l - r*l**2 + 0 = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1219.5 - -1219.4. Let k = -0.7 + 0.4. Let y = -3 - -4. Sort k, y, i, 5.\nAnswer: k, i, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -72784 by -92.\nAnswer: 18196\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the first derivative of -r**3\/3 - 3*r**2\/4 + r - 12. Let o(l) = 0. Calculate l.\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, r: 6, z: 1, x: 3}. What is prob of picking 2 x?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2498 + 1\/(6\/(-42)*1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 293*d - 9371. Let m be u(31). Sort 4, 5, m, 3, -2 in decreasing order.\nAnswer: 5, 4, 3, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 6*p**2 + 6*p - 4. Let a be c(-3). Let z = a + -30. Let y = z - -41. What is the remainder when y is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3.04 + -3. Let s = 1.55 - 0.51. Let g = s - h. Which is the smallest value?  (a) 2\/13  (b) g  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1e45 (base 15) to base 5\nAnswer: -202330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 0, 10, 5, -5 in increasing order.\nAnswer: -5, 0, 5, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30 - (-2 + 1 + 1)) + (376 - 374).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 88 - -5. List the prime factors of l.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15015 divided by 77.\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 10*h + 9. Suppose 3*g - 4 - 17 = 0. Let k(z) = -3*z - 3. Give g*k(o) + 2*b(o).\nAnswer: -o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.4, 1\/86, 4, -1\/20, -116, -5, -3\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 701 is divided by 88.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 35 - 532*c - 35 - 52*c to j*c + n and give j.\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/4 + 3\/(-6). Let z be 8 + 9 + ((-420)\/7)\/4. Solve -z*x = -2 - d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2860.222 and -0.12.\nAnswer: 343.22664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -281 + 816. Suppose 2*y - u - 487 = 0. Is 1\/(-4) + 14\/(-8) + y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 372\/(-1064)*20\/15 and 23\/7?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4616 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 22 - 12. Is 10 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 37367 and 637131.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 167336 - -17?\nAnswer: 167354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -10*q**4 - 2*q**3 + 81*q**2 + 52*q - 1. Let j(p) = -p**3 + p**2 - 3*p - 1. Let a(u) = b(u) - 2*j(u). Find the second derivative of a(n) wrt n.\nAnswer: -120*n**2 + 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76) - (-1*sqrt(76)*3 - sqrt(76)))\/(sqrt(16)*-5).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, h: 1, k: 2, b: 1}. What is prob of sequence khb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2\/419 - -435\/3352. Suppose q - 14 = 2*q. Let m = 4 + q. Put 5, f, m in increasing order.\nAnswer: m, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:47 PM and 1:23 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/10 - 28\/60.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(-5))\/(g*g**(-2\/3)))\/(g**(-2\/5)\/(((g\/g**(5\/2))\/g)\/g)) assuming g is positive.\nAnswer: g**(-223\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 277819171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minus 244948?\nAnswer: -244929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -28 - -26. Calculate the remainder when (j\/4)\/(11\/(-770)) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4275.4 - 4275. What is the smallest value in -1, 4, -3, 1, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -35870324 + 25504324. What is b rounded to the nearest 100000?\nAnswer: -10400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m + 0 = 5*m - m + 5*r - 9*r - 6, -2*r = -5*m - 96 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3.4 and 0.06.\nAnswer: 0.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0067242909 to 5 dps.\nAnswer: -0.00672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12828 + -1255. Suppose 17*s = p + 4050. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-26)\/6 - (-66 - (-15830)\/240)*88.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(459)\/(5*sqrt(9)*2 + sqrt(9) - sqrt(9)))\/(sqrt(30)\/(sqrt(10) + sqrt(1960))).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 34183479?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the second derivative of c**6\/105 + 2*c**5\/35 - c**4\/42 - 4*c**3\/21 - 6*c - 17. Factor n(q).\nAnswer: 2*q*(q - 1)*(q + 1)*(q + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -3\/35072522?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 63501118?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 13, j: 5}. What is prob of picking 3 j and 1 d?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -2*n. Let z(r) = 505*r**2. Calculate f(z(v)).\nAnswer: -1010*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 15*o - 42. Let g(f) = 7*f - 21. Let u(s) = -3*b(s) + 7*g(s). Let d be u(5). What is the common denominator of -23\/16 and (((-54)\/14)\/d)\/(-2)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*u + 24*u - 28 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v**2 - v**2 + 3*v**2)*(-v**2 + v**2 - 2*v**2) + 112*v**2 - 29 - 319 + 336 - 3*v**4.\nAnswer: -5*v**4 + 112*v**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 38 - 26. Calculate the lowest common multiple of 10 and 7*k\/63*3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 175511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i - 69. Give v(-63).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-4)*q\/(q*q**(-13)) assuming q is positive.\nAnswer: q**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -26 + 5 - 5*s**2 - 2*s**3 + 8 - 6*s + 6. Let u be f(-6). Let b = u - 72. What are the prime factors of b?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -50*o**5 - 58470*o**4 - 17017382*o**3 + 44709462*o**2 + 19924000*o + 2060376 = 0.\nAnswer: -586, -1\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 7) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 5 - (1 + (2 - 1)). Let n be 6*(-1 - (-2)\/6). Which is the nearest to -1?  (a) f  (b) -3  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -67482, -67476, -67468, -67458, -67446?\n\"Answer: x**2 + 3*x - 67486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**3\/7 - 112130*r**2\/7 + 64072*r.\nAnswer: r*(r - 112126)*(r - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 170 and 25738?\nAnswer: 128690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 5, g: 2}. What is prob of sequence oo?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (4 - 9 - 3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 20047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 10039*j**3 - 21 - 10039*j**3 - 9*j**4 - 4*j**2 wrt j.\nAnswer: -36*j**3 - 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - l**3 + l**2 + 2*l**3 + l**3 to i + o*l**3 + j*l + z*l**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -10938266, -21876530, -32814794, -43753058, -54691322?\n\"Answer: -10938264*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -7*u**3 + 12*u**2 - 7*u - 3. Let r(a) = 3*a - 6*a**2 + 105*a**3 + 1 + 1 - 101*a**3. Let t(b) = -3*d(b) - 5*r(b). What is t(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -3*b**2 + 5*b - 4*b**3 - 2*b**2 + b**3 + 4*b**3. Let s be r(4). Factor 3*u**3 + 20*u**2 - s*u**3 + 5*u**3 - 14*u - 4*u**4 + 26*u.\nAnswer: -4*u*(u - 3)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**3 - 32*q**2 - 100*q - 175. Calculate j(35).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-86)\/1462 - 423\/(-1989)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-1\/3))**(-21\/8)*(d\/(d*d**(13\/3))*d)\/(d*(d**(-6\/11)*d)\/d*d) assuming d is positive.\nAnswer: d**(-1033\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m + 0*m - 2*m)*(44 - 1330 + 270)*(-5*m**2 + 2*m**2 + 2*m**2 + (-1 + 5 - 2)*(0 + 2*m**2 + 0) + 6*m**2 - 11*m**2 - 7*m**2).\nAnswer: -27432*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**3 + 12*l**2 + 34*l + 19. Let q be b(-8). Solve -5*n = q*d + 1, 0 = 3*n + 4*d - 2*d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 64 = -16. Solve 3*k = 5*a + b, 5*k + 2*a = -a + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s = -2*l + 19, 743*s + 3*l + 24 = 746*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 + -4. Let m = 5 + 1. Suppose -j*h = -m*h + p + 81, -3*h = -2*p - 62. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 1176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61*l = l + 18*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 30 = 4*b, 0*u + u + 8 = -b. What is the units digit of (b - (-10)\/2)*1569\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the third derivative of 0*a + 0 + 1\/24*a**4 - 11*a**2 - 1\/3*a**3. Calculate s(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 + -41. Let h = -26 - r. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 378113 is divided by 1212?\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 60211 times 0.4\nAnswer: 24084.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (4 - -3 - -1) - -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f + 7 = -p, 13*p + 5*f + 25 = 18*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 194973 divided by 10?\nAnswer: 194973\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 - 2 - 5 + 3*m)*(1 - 1 + 3)*(-2*m + 6*m - 3*m).\nAnswer: 9*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*d**2 - 14479*d + 4*d**2 - 15223*d.\nAnswer: -d**2 - 29702*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 204 and 25476168?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -31 + 40. Suppose 4*m - k - q = 3*m, 2*m + k - 6 = 0. Suppose -4*z = 2*c - 2, 7 - 14 = -m*z - c. Solve j - t = 3, 3*j = -2*j + z*t + 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/32 and -163\/953040.\nAnswer: 1906080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 305556 or 58.2?\nAnswer: 58.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 + 3. Let x be (s\/3)\/(-2)*-2. Suppose 3*y - 4 = 4*a - 3, -x*y + a = -4. Solve -2*z = y*c - 2*c + 14, 4*z - c = -16 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*w - 240 = 8*w. Suppose -w*r + 40 = -120. Solve 0 = -9*m + r*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19928 is divided by 304.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is o in 2*o**4 - 130*o**3 + 2134*o**2 - 10406*o = 0?\nAnswer: 0, 11, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 4*b = -j + 20, j - 3*b - 5 = 0. Suppose -3*z + j*z = 15. Suppose -z*l + 132 = 3*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2491*x + 2509*x - 90 = 0. Sort -5, x, -7, -1 in decreasing order.\nAnswer: x, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 10140219 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the first derivative of -5*m**3\/3 + 2*m**2 + 6*m - 1. Suppose -2*f + 0*f = 2. Let j(g) = g**2 - g - 1. Calculate f*i(a) - 6*j(a).\nAnswer: -a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y + 4*v + 12 = -2*y, 5*y + 4*v + 6 = 0. Let b(k) = -3*k**3 + 2*k**2 - 4*k + 3. Calculate b(y).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 2*z - 5. Let m be s(4). Let u be (-11 + 11)*(1\/2 - 1). Solve -16 = -a - 4*i, u = -5*i + m*i + 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y**3 - 15. Let c = 88 - 88. Calculate p(c).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -9  (b) 3  (c) -11  (d) 1  (e) 546\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 4 - 981*n**2 - 3 + 2*n + 8*n**3 + 986*n**2 to m*n**3 + w + g*n + k*n**2 and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -5*a**3 + 44*a**2 - 53*a + 576. Calculate g(9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.8, -6, -30, 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -13894*u**3*z + 68*u**2*z + u*z - 15*z wrt u?\nAnswer: -83364*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 700 and 364.\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1032\/(-688)*1\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v**4 - 3*v**4 + 6*v**4)*(2 - 1 - 2) + v**4 - 90*v**3 + v**4 + 114*v**3.\nAnswer: -v**4 + 24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*v**2 - 5*v**2 + 8*v**2)*(0*v + v + v)*(v + 0 + 0).\nAnswer: 38*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 110*k = 108*k - 72. Let c be k\/30*20\/(-8). Solve -2*q = -5*j, c - 8 = -q + 5*j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 6*3*(2*sqrt(704) - (sqrt(11) + (4*sqrt(99))**2 + sqrt(11) + sqrt(11))).\nAnswer: -28515 + 234*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9198 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 813566347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in eleven halves of a century?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -3*g + 58 - 20 - 14 - 13. Let r = -7 + 15. Give z(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 71425*l**3 - 7 - 71422*l**3 + 4*l**2 + 7 - 4*l**2.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12 + -9.1. Let t = p - -0.1. Which is the biggest value?  (a) 0.4  (b) 5  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 212 - 209. Let m(v) be the third derivative of 0*v**4 + 0 + 0*v - 1\/60*v**6 - v**2 + 0*v**n - 3\/20*v**5. Find the third derivative of m(w) wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 33457 + 264569.6\nAnswer: 298026.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x - 2. Let k be v(2). Let m be 0 + (3\/(-1) - -5). Suppose 124 = -3*w + 139. Sort k, 3, w, m.\nAnswer: k, m, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13732 is divided by 1304?\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 205125456 - -22?\nAnswer: 205125511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.1936 - -2.8064. What is the biggest value in -0.3, -0.1, -0.61, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30542 is divided by 926.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 + 2.15?\nAnswer: -17.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v\/((v*v*v\/(v\/(v\/v**(-2\/3))*v))\/v))**(-1\/58))**(36\/5)*(v**(1\/4))**1\/((v**(3\/7)\/v)\/v**(3\/2)) assuming v is positive.\nAnswer: v**(9257\/4060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes before 3:16 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 140 - -21. Suppose -5*g = -2*y + 114, -2*y + x = y - 5*g. What is the remainder when 278 is divided by y?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z - 7*z = 16, -31*n - z + 5 = -30*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2616563903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 280877, 98, 14 in increasing order.\nAnswer: 14, 98, 280877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 10 in 0.3, -5, 0.2, -29?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -218254 = 44*u + 311154. What is u rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 - 2 + (1 + 0 + 1)*(-2 + 2 + 2))*((a + 3 - 3)*(-1 + 0 + 0) - a - 6 + 6).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the first derivative of -8*k**3\/3 + 21. Let d(h) = 2*h**2. Determine c(d(v)).\nAnswer: -32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -12, -2, 67437 in descending order.\nAnswer: 67437, -2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 140402623 to the nearest integer?\nAnswer: 11849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from snttsn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 10*h**2 - 7*h. Let k(q) = 48*q**2 - 37*q + 1. Determine -2*k(f) + 11*r(f).\nAnswer: 14*f**2 - 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -392*l**3 + 3*l**2 + 2*l + 141. Let r(p) = -394*p**3 + 4*p**2 + 3*p + 136. Let g(t) = 3*n(t) - 2*r(t). Find the third derivative of g(f) wrt f.\nAnswer: -2328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (121\/33)\/(1\/3). Suppose 0 = 3*k - 4*l - x, -2*k - 2*l - 1 = k. Let u(r) = r**3 - r**2 + r + 1. Let a be u(0). Are a and k non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/((-35)\/10) - 74\/(-14). Solve -y*b - v = 21, 3*b + 0*v - 1 = -4*v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k + 5. Let y be m(-5). Suppose y*o = -5*o. Solve o = 6*s - 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 13056 and 2220.\nAnswer: 2415360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - j = 0, -2*x + j + 27 = -4*j. What is the derivative of c**2 - 2*c**2 - x - 2 wrt c?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*w**2 + 2*w**3 - 28*w**2 + 91*w - 232*w - 690*w.\nAnswer: 2*w**3 - 831*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 166 + -90. Let y = p - 76.00595. What is y rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in seven quarters of a week?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 + 2461?\nAnswer: 2465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rh when two letters picked without replacement from {r: 3, h: 5}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1069 = 2*c + 51. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**3 + r - 1. Let c(i) = -i**3 + i**2 - 9*i. Let k(h) = -c(h) - 2*o(h). Calculate k(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1734457719 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the second derivative of t**5\/20 - 7*t**4\/12 + 4*t**3\/3 + t**2 - 4*t + 199. Calculate c(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((-1*(1 + sqrt(52)) + (sqrt(468) + 3 + sqrt(468) - sqrt(52)))**2 + -1)*-4.\nAnswer: 384*sqrt(13) + 10020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 - -0.065173457.\nAnswer: 0.465173457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 133051049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the second derivative of 0 + 0*i**2 + 0*i**3 + 7\/4*i**4 + 5*i. Let o(k) = -2*k**2. Determine o(f(b)).\nAnswer: -882*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 - -64?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6 - 5.97. Let s = i + 0.27. Let m = 2 + -5\/2. Which is the closest to m?  (a) -1  (b) s  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ojvovs. Give prob of picking 2 v.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 768296013 and 2469.\nAnswer: 2469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*k**2 + 4 + 0*k**2 + 0*k**2)*(-14*k**2 + 5*k**2 - k**2) to r*k**2 + a + v*k**4 + i*k + h*k**3 and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbf when three letters picked without replacement from mfrpfrbfrbmpbm.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -63 + -12434631?\nAnswer: -12435024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 4\/7  (b) 4\/45  (c) -225  (d) -4  (e) -5  (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 16, 37, 48, 37, -8, -99, -248, -467?\n\"Answer: -2*l**3 + 7*l**2 + 14*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 214 and 5291364.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3, 19, -4 in descending order.\nAnswer: 19, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 - 2 - 2)*(2*j - 5*j + j) + 110*j - 21976 + 21976)*(3*j + 1 - 3*j - j**3).\nAnswer: -120*j**4 + 120*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.6 + -0.6. Let d = 5.1 + 3.3. Let h = 8 - d. What is the nearest to v in h, 0, -3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1, 7, 3 in decreasing order.\nAnswer: 7, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5537266?\nAnswer: 2, 7, 137, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 2*b**3 + 24*b**2 + 23*b + 4. Give f(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2321 - 2321. Let m = 0.04 - -1.96. What is the nearest to -7 in w, m, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -35.6522 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 30 and 134870?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7743209.\nAnswer: 7743209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 2127, 4242, 6335, 8406, 10455?\n\"Answer: -11*z**2 + 2148*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = -13*v + 95. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 (base 8) in base 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g = 3*f + 1, -16*f + 20*f - 4*g = 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.1 + 7.1. Let c = 1.6 - 12.6. Let n = z + c. What is the biggest value in n, 2, 1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47*y + 114 - 28*y + 552 + 45*y.\nAnswer: 64*y + 666","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 19*i + 2*o + 59, -6*o + 2*o - 84 = 4*i - 0*o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 2*c**3 + c**2 - c. Let y be t(1). Suppose -y*v + 3*h + 44 = h, 79 = 4*v + 5*h. Let i(x) = 4*x - 5. What is the remainder when v is divided by i(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 19*h**2 - 66*h - 756. What is the hundreds digit of j(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: d (base 16) to base 13\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8688 smaller than 8686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*w = 29 + 121 + 10. Let q be (-6)\/(-2)*(-5)\/(-3). Solve w = -3*y + q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 2*q = -50. Let w(l) = 2 - q + 14 + 5*l. What are the prime factors of w(3)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/194 and 53\/1940.\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -121 by 10894.\nAnswer: -121\/10894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*y + 254 = 2*y + 59. Solve x - 19 = -3*v, -4*x + v - y = -6*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -4, 5, -2, -8, -85 in increasing order.\nAnswer: -85, -8, -6, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 7412*w + 163078. Give f(-22).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**2 - 305*y + 17304. What is w(75)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 7*r**2 - 11*r - 3103. Let g(z) = -18*z**2 + 28*z + 6205. Determine 2*g(s) + 5*o(s).\nAnswer: -s**2 + s - 3105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*l - 2*l + 41 + 310.\nAnswer: l + 351","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3, 2, -1, -6, -13, -22?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve n - z + 0*z - 2 + 11 = 6, -5*z - 231 = 36*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2710*y**4 + 7869338*y**2 - 7869338*y**2 + (1 + y**2 - 1)*(-2*y + y**2 + 2*y).\nAnswer: -2709*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a**(2\/9)*a)\/a)**(-16))**3*((a**2\/a)\/a**(1\/6))**(-25\/3) assuming a is positive.\nAnswer: a**(-317\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(2 + (-3*sqrt(57)*1 + sqrt(684)\/(sqrt(12) + sqrt(48)))\/(-4*-1*sqrt(300))).\nAnswer: -sqrt(19)\/15 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22 is divided by -3 - (-3)\/(6\/22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 5, c: 6, m: 3, n: 1}. What is prob of picking 3 c?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 184 - 58. What is the highest common factor of n and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes before 4:55 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -93 - -92 - (11 + (-4 - -7))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 347838751?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5760 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:30 AM and 8:15 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 15238616143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1305*v = -816*v + 18093 for v.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 3*k = 144, -5*k + 50 - 192 = -3*r. Suppose -r*h + 48*h = -7. Calculate the greatest common factor of h and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dv when two letters picked without replacement from dddqqqvddqq.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 74747981551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the third derivative of k**6\/120 + k**5\/15 - k**4\/3 - 5*k**3\/6 - 980*k**2. Let n be -1 - 1*-1 - 5. List the prime factors of q(n).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (-5 - -9) - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(3630)*2 + sqrt(3630))\/sqrt(6) + (sqrt(1125) + 0)*-3.\nAnswer: -12*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 11001010 (base 2) to base 14\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -980.2001+-4\nAnswer: -984.2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 76\/573 and 101\/1755.\nAnswer: 335205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2465*j + 20638 + 83454 = -856*j - 115094 for j.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*g - 157*g - 30 + 60 - 30.\nAnswer: -123*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-1*sqrt(160))\/(sqrt(288)*-1 - (sqrt(2) - (sqrt(8)\/sqrt(4) + sqrt(2))*5 - sqrt(2))).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((((sqrt(13) + -1 - sqrt(13))*1)**2 - (sqrt(13) - sqrt(39)\/(2*sqrt(3)))) + (sqrt(260)\/sqrt(5))**2*-2).\nAnswer: -309 - 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 61941 - 26338. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**3 + 18*u**2 - 35*u + 189. List the prime factors of i(24).\nAnswer: 3, 7, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s - 7. Let b(d) = 2*d + 13. Let w(n) = 3*b(n) + 5*z(n). Let r be w(-5). Let p = -5\/102 + 1\/6. Do p and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*s**5 - 35*s**4 - 10*s**3 + 300*s**2 - 360*s.\nAnswer: 5*s*(s - 6)*(s - 2)**2*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*s = 574 + 1897. Let p = -127 - s. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + -1*sqrt(2)*-1*1)**2*-5 + (4*sqrt(450) - sqrt(150)\/sqrt(3)*4)**2.\nAnswer: -50*sqrt(2) + 3065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3 - 13*k**2 - 31*k + 20. Let h be d(15). Solve -2*b**5 + 2*b + 36*b**3 - 3*b**h - 18*b - 7*b**5 - 8*b**4 = 0.\nAnswer: -2, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (4 - (2 - -5 - 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -9*h*k**2 - 2*h*k - 37*k**2 + 3 wrt h?\nAnswer: -9*k**2 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the second derivative of -x**7\/2 - 5*x**3\/6 + 2*x**2 + 97*x. What is the second derivative of z(i) wrt i?\nAnswer: -420*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -347.\nAnswer: -5\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 46 and 3659714.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 31, 93 in decreasing order.\nAnswer: 93, 31, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m**3 - 13*m**2 + 15*m + 11. Let l = -872 - -858. Give c(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -2112, -3377, -4634, -5871, -7076, -8237, -9342, -10379?\n\"Answer: 2*n**3 - 8*n**2 - 1255*n - 851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 31200.183 minutes?\nAnswer: 3.09525625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 5*c = 15, -3*c + 27 = 4*h - 5. Let x = 108.446 + -112.446. What is the closest to 6 in -5, 2\/15, x, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t - 4*t + 3*t)*(5 - 4 + 5) - 7027*t + 14072*t - 7040*t - 560.\nAnswer: -7*t - 560","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 2*c + 13. Let d(m) = -942*m**2. Calculate x(d(h)).\nAnswer: -1884*h**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**3 - 12*n**2 + 0*n**3 + n + 5 + 0*n**3. Let k = 301 - 289. Does 15 divide p(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1372 - -1372. What is the second biggest value in -0.09, y, -33?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(36)\/(sqrt(588)*-1) - 6*(-5*sqrt(18)\/sqrt(6))**2.\nAnswer: -450 - sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 2*z**3 + 5*z**2 - 17*z - 45. What is w(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2 and 727.\nAnswer: 1454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put together -7190.158437 and -0.003.\nAnswer: -7190.161437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -5061\/8354?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 2*h + h. Suppose -b = -2 - h. Suppose 5*y - 586 = b*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 333.02070722 and -0.3.\nAnswer: 332.72070722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vwhhbvwvbpnbnhvw. What is prob of sequence vb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qzqqz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g - 4*q + 20, -2*g - g + 3*q = 15. Suppose -4*l + 3 = -3*y - l, g = y - 2*l. List the prime factors of 292\/12 + y\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggwggwggggg. Give prob of sequence wg.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -14*m. Let u(h) be the first derivative of -2*h**3\/3 - 28. Calculate u(x(d)).\nAnswer: -392*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = -3*i + 18, 5 = i - m + 2*m. Find the third derivative of 11*a**i + 13*a**3 + 14 + 9 - 23 wrt a.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -2*m - 40, -3*m + 2*m = 2*x + 45. Let n be (-60)\/x - 2\/5. What is the second biggest value in -0.2, n, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2321255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -220*v + 221*v - 5 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - ((0 - (-4 - 8)) + -8).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1829542638.\nAnswer: 2, 3, 7, 11, 3960049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 39469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 9*k - 56. Let c be (54\/(-8))\/(-1) - 9\/12. Solve -k = c*h + 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 4*o**2. Let f(r) = 129*r**2 - 2. What is f(w(j))?\nAnswer: 2064*j**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 20 and 459660.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/2*4\/(-21). What is the closest to o in -5, 2\/9, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2 + (-7)\/(-5) - 62\/155. Let m(i) = i - 1. Let z be m(5). Solve -3*d = 4*j - 7, -z*d + 6*d - r*j = -1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*t**4 - 9*t**3 - 12*t**2 + 36*t.\nAnswer: 3*t*(t - 3)*(t - 2)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -4, 397.\nAnswer: -4, -3, 397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 180024179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -13*s - 26. Let i(p) = -6*p - 13. Let c(b) = 4*f(b) - 7*i(b). What is the derivative of c(w) wrt w?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the third derivative of y**7\/420 - y**5\/120 - y**4\/12 - 2*y**2. Let k(i) be the second derivative of f(i). What is the units digit of k(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 20576\/9 - 2290. Calculate the common denominator of 67\/12 and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 523*y + 837*y + 20 - 20 - 21*y in the form n*y + f and give n.\nAnswer: 1339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -61520 + 89274. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1030*w**3 + 97*w**3 + 774*w**3 - 519*w**3 + 450*w**3.\nAnswer: 1832*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -e3 (base 16) in base 11?\nAnswer: -197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 330*m**2 - 1647*m - 15.\nAnswer: 3*(m - 5)*(110*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 230141*w**5 + 5*w**2 + 306*w + 6 wrt w?\nAnswer: 13808460*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 33\/5 of a milligram in micrograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the first derivative of -2*q**3\/3 - 200*q**2 - 20000*q - 149. Factor d(r).\nAnswer: -2*(r + 100)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 35154221 to the nearest integer?\nAnswer: 5929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1132043034 (base 5) in base 13?\nAnswer: -70602a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1161350607 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u + 28. Let y be z(-12). Let r = 43 - y. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 5 - 12*l + 14*l + 14*l. Let g be c(5). Suppose 0 = 3*a - 8*a + g. Is 17 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v, 2 m, and 1 o when four letters picked without replacement from {v: 3, m: 2, t: 1, o: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 10221 (base 3) to base 13\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**2 - 6*z + 4. Calculate the remainder when 15 is divided by u(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 4*b + 143 = 0, -4*b = -z - 3*b - 148. Let i = -145 - z. Solve -i*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6820.\nAnswer: 2, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (8\/(-6) - -1)*-6. Let p(s) = -5*s - 5*s - s + c*s. Let t(b) = 0*b + 4*b - 3*b. Give p(t(v)).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 3*p. Let h(q) = 7*q. Let d(k) = 5*f(k) - 2*h(k). Let o(t) = -t**2. Give d(o(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the second derivative of 420*b**3 + 1900*b**2 - 8930*b. What is the first derivative of c(g) wrt g?\nAnswer: 2520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 - -28.85\nAnswer: 23.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 198.4 - 198.1. Let u = 5.3 + 1.7. Let p = u - 7.3. Put p, s, -2 in decreasing order.\nAnswer: s, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes after 5:11 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -11*w - 72. Let s be i(-7). Solve 2*a + 5*d + 30 = 0, 45 = -s*a + 4*d - 9*d for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3719\/(-2)*(-5)\/1855. Let j = h + -12\/53. Find the common denominator of j and -63\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c + 67 - 71. Suppose -3*i = -3*w + 12, 0*w + c*w + 6 = -5*i. Let g be -1 + 4 - (6\/w + -2). Solve -a = -g + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 342287.\nAnswer: 11, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 193111 and 8?\nAnswer: 1544888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 110773 - 1436?\nAnswer: 107335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 2, j: 4, f: 1}. What is prob of sequence tfjj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 333 - 438. Which is smaller: -108 or g?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s**3 + s**3 + s**3)*(-1 + 0 + 3) + 2483999*s**2 - 24*s - 3 - 2484009*s**2 + 2*s**3 - 167*s.\nAnswer: 4*s**3 - 10*s**2 - 191*s - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 31254, 29718, 28182?\n\"Answer: -1536*n + 32790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5093*v**3 - 10923*v**3 - 26333*v**3 + 5117*v**3.\nAnswer: -27046*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -275*g + 275*g - 55*g**5 + (2*g**2 - 2*g**2 - 2*g**3)*(-4*g**2 + g**2 + 4*g**2) - 3*g + 3*g + g**5.\nAnswer: -56*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10 + 7. What is the remainder when 75 is divided by ((-7)\/(-2))\/(b\/(-18))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15 - 18*z**2 + 15 + (2*z**2 - 4*z**2 + 3*z**2)*(-2 + 1 + 3))*(-8 - 44*z**2 + 8).\nAnswer: 704*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 92 and 859832.\nAnswer: 859832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d\/(d**0*d))\/d)\/d*d**(-6))**30 assuming d is positive.\nAnswer: d**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:38 AM and 5:42 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 116 and 93634.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes after 2:31 PM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -3 + -1 + 6 - (-8)\/(-5). What is the nearest to t in 5, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -18 in -11\/4, 0.2, 3\/4, 59?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.9148 * -4.\nAnswer: 7.6592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 24 and 333204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*p**3\/5 + 370284*p**2\/5 + 3407565*p + 195953238\/5.\nAnswer: -3*(p - 123474)*(p + 23)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -23, -20, -5, 28, 85, 172, 295?\n\"Answer: c**3 - 4*c - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 75677160 a multiple of 3492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2105 + 12?\nAnswer: -2083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the third derivative of -o**7\/1365 + o**5\/130 + o**4\/78 - 8*o**2 - 5. Factor a(k).\nAnswer: -2*k*(k - 2)*(k + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-18)\/(25\/(-20)*(-36)\/30)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**2 - 749331*u + 6743898.\nAnswer: (u - 749322)*(u - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 85\/448 and -103\/30010.\nAnswer: 6722240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (3\/4)\/((-1)\/(-4)). Let b be 1\/(-1) + ((-82)\/(-205))\/(2\/(-5)). Does 34 divide 1222\/12 + b\/(-36)*u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3956244 and 300?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -51*o - 3. Let f be b(-6). Let s = f - 203. Suppose -160 = -6*u + 80. What is the greatest common divisor of s and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 352*b - 12 = 348*b. Let m = 13 - 5. Suppose b*w + a = m*w - 2899, -w + 581 = a. Round w to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.81 - 1.8099911. Round l to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -3\/8324?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1334 - -4?\nAnswer: -1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2619?  (a) -0.2  (b) 2  (c) -0.1  (d) 2\/3  (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*o + 28*o - 12897 = -1131. What is the highest common factor of 53 and o?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-322)\/(-126))\/(-23) + (32\/(-9))\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes after 11:07 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(((-4)\/(-8))\/(7\/119))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 5 = 8. Solve 2*d + f = 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the first derivative of -u**3\/3 - 13*u**2\/2 - 12*u - 1. Let o be (-1 + 0)\/(17\/204). Let h be w(o). Solve -3*k + 8 = -y, h*y + 3*k - 12 = 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, d: 11}. What is prob of picking 2 d?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 11261040 (base 7) to base 13\nAnswer: 28856a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -44*j**2*w + 3576764*j**2 - 14848*w**4 wrt w.\nAnswer: -44*j**2 - 59392*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 780\/(-2600)*(-10)\/33\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 5*g**5 + 7*g**4 + 2*g**3 - 8*g**2 - g + 7. Let f(d) = -4*d**5 - 6*d**4 - 2*d**3 + 7*d**2 + d - 6. Let o(q) = -6*f(q) - 5*r(q). Factor o(x).\nAnswer: -(x - 1)**3*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -49*d + 3. What is z(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.36, 5\/6, -2\/455, -47, -4, -3 in decreasing order.\nAnswer: 5\/6, 0.36, -2\/455, -3, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(10\/13)\/x*x*x*((x**46\/x)\/x)\/x*x**(-1\/3)*x*x*x**13\/x)**(21\/2) assuming x is positive.\nAnswer: x**(15953\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 2*a**2 + 10*a - 12. Let w be (-1 + (-1 - 1))\/(21\/42). Let x be i(w). Factor 0 - 1\/7*d**2 + 0*d**3 + x*d + 1\/7*d**4.\nAnswer: d**2*(d - 1)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 2251, 4447, 6643?\n\"Answer: 2196*j + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2117092\/13 greater than or equal to 162852?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 43159 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the second derivative of 2287*s**7\/42 + 2323*s**4\/12 + 34*s - 7. What is the third derivative of x(y) wrt y?\nAnswer: 137220*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 494112637?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -8922801 rounded to the nearest one hundred thousand?\nAnswer: -8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes before 10:42 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 4*(5 + (-2*sqrt(28) - sqrt(567)*2)*5))**2*6.\nAnswer: -89760*sqrt(7) + 8132934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -9, 0, -2, -23, 33.\nAnswer: -23, -9, -5, -2, 0, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 3*j**2. Let v(r) = 116906001*r. Determine v(h(i)).\nAnswer: 350718003*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 153478 and 338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -9256*z. Let w(x) = -106*x - 24. Give v(w(c)).\nAnswer: 981136*c + 222144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes after 10:26 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (66\/(-110))\/(39\/65). Let o(h) = -3 + 3 + h**3. Let v(d) = -3*d**5 - 15*d**4 - 28*d**3 - 12*d**2. Let n(c) = x*v(c) - 4*o(c). Factor n(y).\nAnswer: 3*y**2*(y + 1)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1074167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s - 1. Let h(p) = -27*p**2 - 38*p - 1. Let c(q) = -h(q) - 5*v(q). Factor c(g).\nAnswer: 3*(g + 1)*(9*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -239476 and -5.\nAnswer: -239481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 32 and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/32*51330\/2655?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9800210*k**4 + 17*k**3 + 527426366*k**2 wrt k?\nAnswer: -235205040*k + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (14\/3)\/7*3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((sqrt(80)*2 + 3)*-2)**2*3.\nAnswer: 576*sqrt(5) + 3950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 627598.3 rounded to the nearest one thousand?\nAnswer: 628000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 3*z - 11 = 0, -5*q - 5*z + 30 + 15 = 0. Suppose -8*g = -4*g. Solve k + 5*r = -0*k + 25, g = -k + q*r - 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -15*m**3*v**2 + 3*m**3 - 57*m**2*v**2 + 3*m*v**2 + 26*v wrt v?\nAnswer: -30*m**3 - 114*m**2 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8*y**3 - 7*y**4 + 8*y**3 + (3*y - 3*y - y**3)*(-8*y + 2*y + 4*y).\nAnswer: -5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**2 + 2*x + 6. Give k(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -177.665 and -2.\nAnswer: 355.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1636550894 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {l: 1, t: 7}?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 266223439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(228) - 1*sqrt(228)*-2)\/(sqrt(432)*-1) + 0.\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14293 is divided by 840?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*n*o**2 + n*o + n*y - 6*n + 1662*o**2*y + 6*o*y + y wrt o.\nAnswer: 4*n + 3324*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 680794?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 599, 604, 597, 572, 523, 444, 329?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 95 = -4*b - 33, 0 = 2*b - 8. Let a be (640\/112)\/(1\/35). Suppose -249*l + 244*l + a = 0. Calculate the remainder when l is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y - 1. Let p(r) = -r + 5*r + 6*r - 3*r - 5. Let u(l) = l - 12. Let f be u(6). Calculate f*j(a) + p(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t - 3*t + 4*t)*(t - 1 + 1) + (0*t + 2*t - 5*t)*(3 - 3 - 1)*(3 - 2 - 2)*(-2*t + 0*t + 0*t).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17.5 - 22. Let p = l + 5. Let d = 93 + -92.88. Sort 0.1, 3, p, d in decreasing order.\nAnswer: 3, p, d, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 13135, 26814, 41081, 55942, 71403, 87470, 104149?\n\"Answer: a**3 + 288*a**2 + 12808*a + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/4  (b) -1\/6  (c) -2\/37  (d) -0.3  (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 16477, 32952, 49427, 65902, 82377, 98852?\n\"Answer: 16475*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -5*p + 4*v, -v + 25 = p - 6*v. Suppose p = 4*k + 3*k - 581. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b = 2*w - 21, -434*w + 432*w - 3 = -3*b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o - 14 - 2 + 10. What is the units digit of n(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -11653, -11677, -11701, -11725?\n\"Answer: -24*y - 11629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 10*w + 6 + 3*w - 3*w + w + (3*w - 6*w + 0*w)*(-3 - 2 + 2))*(-9 + 9 + 13*w**4).\nAnswer: 260*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = -p + 2287, -p + 18 = -k + 473. Let n = k + -209. Calculate the greatest common factor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -15 + 10. Let t be 3 - (-3 - m)*7. Let c = 19 - t. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.1117 - -0.1117. Let v = 0.3 + -1.6. What is the second smallest value in -1\/7, n, v?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 3*v**2 - 2*v - 3. Let a be 10\/(-35) - (-99)\/(-21). Let r be (8\/a)\/((-4)\/(-10)). What are the prime factors of s(r)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b = -14 - -18. Suppose 6 + b = 5*i. Let a = 41 - 37. Solve -2*k = 4*l + 10, 0 = l + 5*k + i - a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g**2\/4 + 2294*g - 5262436 = 0. Calculate g.\nAnswer: 4588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -355.17 - 6.83. Let g = y - -357. Which is the second smallest value?  (a) -4  (b) 9\/7  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2278690612459 + 88?\nAnswer: 2278690612547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -70, -67, -64, -61?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.1 and -4995.8.\nAnswer: -4995.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -112 - -188. What is the highest common divisor of j and 1406?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -293*l + 376. What is the thousands digit of g(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -w**3\/5 + 46*w**2\/5 - 141*w + 720 = 0?\nAnswer: 15, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11)\/11 + (0 - (-4)\/6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3627 - 2005 = 29*u + 99*u for u.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-40)\/260 - (-1018)\/26. Calculate the highest common divisor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 - 4. Suppose 3*n = -w - 0. Let c be 2\/(-7) + 74\/14. Sort n, 2, c.\nAnswer: n, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x**3 + 5*x**2 + 18*x - 4. Let t = 27 - 20. What is the tens digit of s(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggcgzgczzzzzczgzgzcz. Give prob of picking 2 g and 2 z.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3 + 14\/4)*12. Find the second derivative of -2*w**5 + f - 6 - 3*w wrt w.\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 201 + -10 - (-4)\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7229770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 92*v = -63372 + 64476 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -392719 + -1?\nAnswer: -392720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 14\/215 and -107\/15960.\nAnswer: 686280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 1 j when three letters picked without replacement from dzddjmzdmdd?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -522.0189 rounded to the nearest 10?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -101022 (base 4) in base 3?\nAnswer: -1111200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2283596 and 392?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, -1501, 142, -0.05, -0.2?\nAnswer: -1501","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 14 = 2*a + 18, -5*a = n + 57. What is the third biggest value in -0.1, -7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 489515*i**5 + i**4 - 5*i**3 - 900255*i**2 + 2.\nAnswer: 29370900*i**2 + 24*i - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(108)\/sqrt(4)*-5)**2 + -5.\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2656154 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 688 and 258.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2772, -5513, -8240, -10947, -13628, -16277?\nAnswer: -18888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -19, -188, -657, -1576, -3095, -5364?\nAnswer: -8533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1111141784 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the first derivative of s**3\/3 + 12*s**2 + 77*s + 2. Let j be v(-20). Which is smaller: j or -1\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 343 and 294?\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, b: 2, w: 1}. Give prob of sequence wb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f**2 + 3*f - 3*f)*(-5 + 5 + 2) - f**2 + 14*f**2 + 5*f**2.\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10001000010 - 1111110110010?\nAnswer: -1101101110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 11*n**3 - 7*n**2 + 4*n + 9. Let z(k) be the second derivative of k**5\/4 - k**4\/4 + k**3\/3 + 2*k**2 - 68*k. Calculate 4*v(s) - 9*z(s).\nAnswer: -s**3 - s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -2*n**2 + 2*n**2 + n - 1 - n**3. Suppose -4*j - 148 + 160 = 0. Let y(z) = -1248*z**j + 4*z + 1244*z**3 - 1 - z. Give -3*l(f) + y(f).\nAnswer: -f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes after 12:31 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f**3 + 5*f**2 - 2*f - 6. Let x be y(2). Solve -3*k - 17 = x*i - 1, 2*i = -5*k - 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 138057 to the power of 1\/2, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*g**2 - 154*g - 160*g + 325*g to b + q*g + u*g**2 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -27*b**2 - 4*b + 4776. Calculate y(0).\nAnswer: 4776","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 807 by -321.\nAnswer: -269\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -30.62343922 to the nearest integer.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1444982 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 57 - 53.2. Let n = p + 74.2. Let v = n - 78.000498. Round v to 5 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*r - r + 155. Calculate the remainder when 54 is divided by r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 1 j, and 1 m when three letters picked without replacement from {n: 2, j: 1, m: 3, e: 1, d: 5}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {v: 6, m: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bzbb when four letters picked without replacement from {v: 8, b: 6, z: 3}.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*y + 54*y + 2270 = n, -2*y = n - 2282. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.12 + -0.12. Let j(t) = -t**3 + 0*t**3 + 5*t + 5 - 3*t**2 - 4. Let n be j(-4). What is the closest to z in 0, -0.3, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 61600 - 8785. Suppose 3*z = -3*s + w, -4*z + 45538 = 2*s - 24872. Suppose 0*i - 4*u + 8800 = -2*i, 5*u + z = -4*i. Round i to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that x**5\/6 + 152*x**4\/3 - 7399*x**3\/6 - 36743*x**2\/3 + 28906*x + 283620 = 0.\nAnswer: -326, -6, 5, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*k - 4*k + 5*k)*(4*k**2 + 841*k - 841*k) + k**3 + 0*k**3 + 0*k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, 328, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 8*h - 59. Suppose 2*q + q = 6. Calculate the lowest common multiple of h and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 604010678?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13064 by -4.\nAnswer: -3266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 324 minutes after 6:15 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0*8\/(-64)*((-492)\/(-123) + (-5)\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 179, -1, -6055, -3 in ascending order.\nAnswer: -6055, -3, -1, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 764162329?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 85923869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-301)\/105 - 112\/(-35)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6197)\/5 + 8\/20. Let u = s + 11177\/9. Calculate the common denominator of u and 50\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 1, 2408, 4, -1 in decreasing order.\nAnswer: 2408, 4, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -605, -1212, -1819, -2426, -3033, -3640?\n\"Answer: -607*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -92*t = -5*l - 88*t + 333, 2*l - 123 = 5*t. What is the remainder when l is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4040879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -28.3 - -25.4. Is c less than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -5*c + 288, -3*b + 8*b = -c + 743. What is the remainder when b is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k + 1 = a, 4*a + 4 = 5*a - k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-63)\/(-315) - (1\/(-20))\/1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 171688 and 264?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 234430590?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 253104 to the power of 1\/2, to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (35\/25)\/((-4)\/(-40)). Suppose 9*i = p*i + 145. Let q = i - -132. What is the remainder when q is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 209*s - 167*s = -106*s + 130240. Sort -1, -3, s in descending order.\nAnswer: s, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 21633*z**2 + 13. Let n(w) = -6*w. Give u(n(l)).\nAnswer: 778788*l**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 23480 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -3, -2970, 1, -6, 4 in ascending order.\nAnswer: -2970, -6, -4, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add together -142072 and 9.\nAnswer: -142063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/4, 5, 2\/7, -32, 0.2 in increasing order.\nAnswer: -32, 0.2, 2\/7, 3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*b**2\/3 - 365198120*b + 25006812534662700.\nAnswer: 4*(b - 136949295)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 3189442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*w + 3*w - 2*w - 5*w - 801444.\nAnswer: -w - 801444","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 68.476923 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-16)\/(-1))\/(-4) - -8. Solve -u*k - 23 + 4 = -j, -2*k - 9 = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -127*r + 183. Calculate g(6).\nAnswer: -579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -38\/3558219 and 103\/2033268.\nAnswer: 14232876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 43512482 divided by -26.\nAnswer: -1673557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 13474 + -21374. Round z to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 14) to base 9\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 3 = -0, -4*g + h = -35. Let u(b) = b**3 - 9*b**2 - b + 8. Let f be u(g). What is the nearest to 1 in -11, 1\/6, f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l + 86. Let h be i(0). Suppose 0 = 4*s - 3*s - h. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8065110 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((1 + sqrt(275) - sqrt(275)) + -5 - sqrt(891)*4*-2).\nAnswer: -4 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 123117861?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 352 = 2*z, 48*z - 44*z = 4*y - 648. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - (-2 - (-8 + 6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 6885  (b) 4  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -1\/6, 0.5, 406\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -2*p**4\/15 + 7301132*p**3\/15 + 7301136*p**2\/5 + 21903412*p\/15 + 7301138\/15 = 0.\nAnswer: -1, 3650569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -2*y + 43. Let a be z(17). Put a, 5, 17 in decreasing order.\nAnswer: 17, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5892, 70, 4 in ascending order.\nAnswer: 4, 70, 5892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 343020 (base 5) to base 2\nAnswer: 10111111100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -14 + 26. Suppose -8*i + 4*i + d = 0. Solve -g - i*f = -f + 13, 4*f = g - 17 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes after 12:30 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 405092 and 4.\nAnswer: 405092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (36*i - 40*i - 35*i)*(2 - i - 2) - 2*i**2 - 14*i**2 + i**2.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9 (base 11) to base 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 742, 2\/9, 1\/76?\nAnswer: 742","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c - 3 - 1 + 2. Let d be q(-4). Suppose 5*b - 6 - 2*b**d + 6 - 3*b = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0 + 7\/(-28) + 219\/12. Solve 0 = -5*b + 11*b + d for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 2 + -1 - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 2*y**2 + 442*y + 8381. Calculate i(-200).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 72 and 12456.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/89713397 or -1?\nAnswer: 2\/89713397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*q + 3*q - 6. What is the third derivative of 0*w**q - 3*w**6 - 3*w**2 - w**5 + w**5 wrt w?\nAnswer: -360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1375 and 6633?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a\/(a**(-14)*a)))\/a)\/((a\/((a\/(a\/(a**(-47)*a)))\/a*a)*a)\/a) assuming a is positive.\nAnswer: a**(-61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -10*m + 5. Let a be z(-5). Suppose 0 = -3*k - 3*v + 27, 0*v - a = -5*k - 3*v. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1337214 by -18834.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(832))**2 - sqrt(832))*-1*-1.\nAnswer: -8*sqrt(13) + 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 109*t - 10. Suppose 94*x - 93*x = 3. What is the tens digit of l(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8?  (a) 2\/17  (b) 5\/3  (c) -0.2  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2 - 3)*(13*f**5 - 64*f**5 - 502*f**5).\nAnswer: 1106*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 122469 to the power of 1\/2, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6 * -0.351.\nAnswer: -2.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/2)\/(-28)*2\/(-2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -103 - 32 = -30*w + 15. Put 4, 2, 11, w, -3 in descending order.\nAnswer: 11, w, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 2\/5  (b) -1  (c) 1\/15  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 833.4076 nanograms?\nAnswer: 0.0000008334076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-29 - -6) + -52 + 45 + -3.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 d when three letters picked without replacement from dhydddh?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -4*r + 41068, -2*r - 3*i - 10299 = -30843. What are the prime factors of r?\nAnswer: 2, 3, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*s**2 - 4\/9*s + 2\/9*s**4 + 4\/9*s**3 - 2\/9.\nAnswer: 2*(s - 1)*(s + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 59  (b) -10\/11  (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1926 divided by -82?\nAnswer: 963\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -73*n + 2. Let o be t(-2). Suppose 2*g - 89 = 5*j, -2*j + o + 90 = 4*g. Is g a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 5*g + 27 = 0, 0*v + 5*g = -2*v - 9. Suppose -j + 32999988 = 2*j + 4*u, 43999991 = 4*j + v*u. What is j rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (47 - 35) + (4 - (-2 - 2))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1730207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the second derivative of d**7\/840 - d**6\/90 + d**5\/30 - d**4\/6 + d**3\/3 - 3*d. Let q(x) be the second derivative of u(x). Does 12 divide q(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 41711520*z**2 + 39202662.\nAnswer: 83423040*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w\/((w\/(w*w**(4\/13)))\/w)*w\/(((((w\/(w*w**5))\/w)\/w)\/w)\/w)*(w**(1\/5))**(-5\/18) assuming w is positive.\nAnswer: w**(2867\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 11 - (0 + 8 + -8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3361*g**4 - 19*g**3 - 167309*g**2 wrt g?\nAnswer: -80664*g - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -33 + 131\/4. Let w = -0.163 + -658.837. Let r = w - -654. What is the closest to 1\/4 in 0.4, x, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.1 + -0.5. Let w = 0.15 + i. Let r = w + 0.05. What is the nearest to 0 in 4, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9747181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 484*r - 34. Let i be a(7). Let f be (-8 - -6)*(i + 1). What is f rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5265225 divided by 16715\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1398696 + -2656.032.\nAnswer: -1401352.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a - 4*b = -a + 18, -3*a - 3*b = 15 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 329398 is divided by 150?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -v + 5. Calculate the least common multiple of v and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1510471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 407940814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -66 + c + 62 - 2*c. Determine y(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 3*a - 4. Let d be k(4). Suppose -2*n + 1 = 9. Let s = d - n. Calculate the lowest common multiple of 10 and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b\/b**(-10\/9)*b*b**(1\/10) assuming b is positive.\nAnswer: b**(289\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 2*l + 3. Suppose -2*k = -5 - 1. Suppose 0 = -k*n + 9. Let w(r) = -2*r - 4. Determine n*w(p) + 4*d(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 6 + -3 + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 175\/(-945)*966\/(-115)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*g + 3*h + 28 + 12 - 11, 0 = -2*g + 5*h for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4466 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3156, 25183, 84964, 201375, 393292?\nAnswer: 679591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -7*l - 52. Let j be n(-7). Let g(p) = -4 - 416*p + 9 - p**2 + 413*p. What is g(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/6 less than -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 2*v - 2. Let l(i) = i - 1. Let g(o) = o**2 - 3*o - 7. Let p(d) = d**3 - 8*d**2 + 4. Let z be p(8). Let s be g(z). What is s*b(y) + 8*l(y)?\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z\/(z*z*(z\/(z*z**7))\/z)*(z**(8\/7)\/z)\/z*(z*z**(-1)*z)\/z**(-10) assuming z is positive.\nAnswer: z**(120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 2*b**3 - 5*b**2 + 4*b - 3. Let a be t(3). Suppose 33*o - 3*o + 9420 = 0. Let m = o + 331. Which is bigger: m or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4718 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14.78 - -15.4. Let n = -2.62 + u. Which is the nearest to n?  (a) 2  (b) 0.5  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*f**3 - 11*f**3 - 26*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the second derivative of 7*g**4\/12 - g**2\/2 + 10*g. Suppose -2*q + 1 = -q, 2*z + 5*q - 9 = 0. Let t(o) = -29*o - 2*o**z + 29*o. Determine d(t(n)).\nAnswer: 28*n**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-6)\/(-5))\/((-12)\/(-20)). Find a, given that 0 + 4\/3*a**4 + 2\/3*a**m + 1\/3*a**5 + 5\/3*a**3 + 0*a = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -t - 5. Suppose t*b = 3*o + 3, 2*o - 2*b - 2 = -4. Which is smaller: o or -1\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 p, and 1 c when three letters picked without replacement from ppbpppccpcmchc.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = -0 - 20. Sort n, 17, -1.\nAnswer: n, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -32\/1964053 and -16\/140007.\nAnswer: 347637381","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-318)\/(-12)*(-1 + 3).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-49680)\/104328)\/(4*2\/(-14))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14562.\nAnswer: 2, 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 3*j + 2)*(-1 + 2 + 0) + 1 - 46*j - 6*j - 52*j.\nAnswer: -107*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1*-1)\/(29\/(-58)*14).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4\/18 + 1428697\/279?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 15*n + 2. Let f(v) be the second derivative of 5*v**3\/2 + v**2\/2 - 16*v. Let q(i) = 7*f(i) - 6*p(i). What is the first derivative of q(d) wrt d?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 179 + -256. Let t = 131 + g. Suppose 2*s = t + 54. What is the highest common divisor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w = t - 11, 11 = 8*w + 45*t - 44*t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3400 and 16?\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 4 + 0 = 0. Solve 1 = i - z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 16133957\/2 and 8066979 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 613219\/3 less than 204406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**2 + 2*c - 1. Let a be -2 + 1 - (16 - -1). Let x = -16 - a. What is j(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8679 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 t be (-1)\/2*10\/15. Let s be (-4)\/(-6) + ((-125)\/(-15) - 4). Which is the nearest to t?  (a) 0.1  (b) -4  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 17 - 12. Let r(w) = -4*w**2 + 91*w + 122. Let x be r(24). Sort x, h, 0, -0.3.\nAnswer: -0.3, 0, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -388 divided by -4\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6193429 is divided by 1496?\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3750928896.\nAnswer: 2, 3, 11, 13, 17077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 247*m**4 - 5*m**3 - 3*m + 4355 wrt m.\nAnswer: 2964*m**2 - 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than -91\/7405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that -19*s + 54*s + 2883 + 151*s + 3*s**2 = 0.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s + 98 = 4434038*r - 4434033*r, 10*s = -2*r + 28 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-12)*(53 - 41)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the second derivative of -q**4\/24 - 5*q**3\/3 - 9*q**2 - 26*q. Let b(y) be the first derivative of h(y). What is the units digit of b(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -0*r + 2*r. Let z be (-2)\/(-4*(-3)\/(-30)). What is the first derivative of -r*j + 1 - j - z wrt j?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -21*u**2\/4 + 51609*u\/4 - 364350.\nAnswer: -3*(u - 2429)*(7*u - 200)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -12*d - 24*d - 13 - 58 + 11*d with respect to d.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 1037205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 77, -318, -1697, -4552, -9375?\nAnswer: -16658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5868189.\nAnswer: 3, 157, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 16 in 0.2, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 981, 7708, 25989, 61620, 120397?\n\"Answer: 966*j**3 - 19*j**2 + 22*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 27431 (base 12) to base 10\nAnswer: 54181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -249*j + 25688 + 426*j - 176*j + 3*j - 5*j + 3*j + (4*j + j - 3*j)*(2 + 2 - 2) + 0*j + 2*j + 0*j as y*j + p and give p.\nAnswer: 25688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 16722, 26 in decreasing order.\nAnswer: 16722, 26, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 + (-25)\/10)\/((-1)\/(-2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 85 + -60. Suppose 6*z = z + t. What is the greatest common divisor of z and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2)\/(1088\/(-542) - -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000009542663665 rounded to 7 dps?\nAnswer: -0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 828037782 a multiple of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 13*g**2 - 1236 + 64*g**2 - 67*g**2 in the form u*g**2 + x*g + m and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -81.8?  (a) 2\/3  (b) -0.61  (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 813721757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 2. Let x(v) = v - 1. Let s(l) = -j(l) + x(l). Let g(c) = 2*c**2 + 11 - 8*c - 4 - 5 - c**2. Let u be g(8). Let a(p) = -2. What is u*s(m) - 3*a(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 83122\/9 or 9237?\nAnswer: 83122\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -35295*n - 15. Let o be k(-17). What is o rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the first derivative of x**5\/300 + x**4\/60 + x**3\/30 - x**2\/2 - 1. Let o(j) be the second derivative of z(j). What is g in o(g) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 5*k**3 + 35*k**2 - 10*k - 384. Let f(v) = -17*v**3 - 113*v**2 + 29*v + 1154. Let w(q) = -7*a(q) - 2*f(q). What is the derivative of w(n) wrt n?\nAnswer: -3*n**2 - 38*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*n**4 + 5668*n**3\/3 - 39742*n**2\/9 + 30296*n\/9 - 7576\/9 = 0. Calculate n.\nAnswer: -947, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 338*l - 1358. Determine f(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1044*k**2 + 1608*k**2 + 1067*k**2.\nAnswer: 1631*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l + l + l)*(-2*l - 4 + 4)*(824*l**2 + 210*l**2 - 177*l**2).\nAnswer: -1714*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3 and 1884.\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -242413240 (base 5) to base 15.\nAnswer: -17754a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 38*q. Let h(m) = 49*m. What is p(h(i))?\nAnswer: 1862*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -71807 divided by -14?\nAnswer: 71807\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wc when two letters picked without replacement from {c: 1, w: 7, r: 1}?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 4) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 226860 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 + 14203?\nAnswer: 14143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1155 - 1162. Let n = -171 + 108. Let z be 12\/54 + (-4)\/n. Which is the closest to z?  (a) 5  (b) -4\/7  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -5 and 238268.\nAnswer: 238263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16725, -16724, -16721, -16716, -16709, -16700, -16689?\nAnswer: -16676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3.01 + 0.01. Let k = 3885 - 3884.8. Sort k, m, -0.3 in ascending order.\nAnswer: m, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -137, 1, -1, -3, 3, 63 in decreasing order.\nAnswer: 63, 3, 1, -1, -3, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, -4, 52, 4, -34 in decreasing order.\nAnswer: 52, 4, 2, -2, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:59 AM and 3:04 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 4259, 8339, 12449, 16589, 20759, 24959, 29189?\n\"Answer: 15*f**2 + 4035*f + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 60038 and 127289.206?\nAnswer: 67251.206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1362928 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 - -9. Suppose 2*o = -i + 3. Which is smaller: o or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that -1\/2*j**5 - 4\/3 + 14\/3*j - 5*j**2 + 4\/3*j**4 + 5\/6*j**3 = 0.\nAnswer: -2, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -166, -659, -1482, -2635?\nAnswer: -4118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o + 3. Let f be u(-7). Suppose -5*l = -f - 10. Is 10*(-51)\/(-2) - l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 227310?\nAnswer: 2, 3, 5, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 729933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 9) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 11 or 23\/2?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 98242099 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 562798 - -15321.4?\nAnswer: 578119.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -48085, -53600, -59115?\nAnswer: -64630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-27 - 474 - 364)*(-10*m**4 - 12*m**4 - 3*m**4) to g*m**4 + n*m**3 + p + r*m + h*m**2 and give g.\nAnswer: 21625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -12\/1435 and -1\/42?\nAnswer: 8610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 32 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in 99, 21, -5\/9, -3, 18\/17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -185814 - -4577.88\nAnswer: -181236.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 43304 (base 6) to base 13\nAnswer: 2923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes after 9:06 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2494 + -1.029.\nAnswer: -2495.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**3 - 4*k**2 + 3*k - 2. Let o be v(3). Is (-1)\/(3\/132*o) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 6, -117 in increasing order.\nAnswer: -117, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**3 - 8*w**2 + 9*w - 9. Let b be n(7). Solve 3*o + 6 = -4*v - 6, -b*v - 15 = o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -674 + 46. Let r = i + 919. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 41, 15, 1?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11085421 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 102001441 (base 5) to base 2\nAnswer: 1100111000011101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (143\/((-10439)\/5548))\/2?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1497*v**4 + 16*v**2 - 39*v wrt v.\nAnswer: 35928*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -7 - (10 - (27 - 11))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**3 + w**2 + 1584*w + 3153. Determine y(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(39)\/(sqrt(6)\/sqrt(2)) + sqrt(52)\/sqrt(4) + 3)**2.\nAnswer: 12*sqrt(13) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*z**5 + 7407*z**4 - 3078*z**3 - 63420*z**2 + 56232*z + 48384 = 0.\nAnswer: -3, -6\/11, 2, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12)\/2*(-162)\/(-486).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 2 = 0, 3*o + 0 = b + 17. Let n(u) = u**3 + 3*u**2 - 5*u - 9. Let m = -261 + 259. Let x be n(m). Calculate the greatest common factor of o and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2.59 * -19209\nAnswer: -49751.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**2 + 507854*w - 12695724. Calculate u(25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**25)\/(a*a\/a**4*a) assuming a is positive.\nAnswer: a**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 9*u = -f + 36, -f = 4. Solve -3865 = u*w - 3817 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-54)\/99 + (-18)\/(-33) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/((l**(3\/5)*l)\/l*l))\/l*(l*l**(-2\/11)*l)\/l*((l*l**(2\/15))\/l)\/(l\/(((l\/(l*l**4*l))\/l*l)\/l)) assuming l is positive.\nAnswer: l**(-1262\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 840681 and 3393.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1058 and 506.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 + 8. Suppose v*x = -x. Suppose -5*l + h + 75 = 0, x = -2*l - h + 7 + 16. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -3349, -27096, -91835, -218152, -426633?\n\"Answer: -3431*s**3 + 90*s**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1808137 is divided by 66967.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 464219.45900066 - 464219.5. Let s = -0.041 - k. Round s to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2.32 + -41.52. Let a = 45 + r. What is a rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - (-3 + 7) - (-8 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -45 + 53 + (-8)\/1. Solve b = -9*i - 2*i + 33 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the second derivative of w**5\/2 + w**4\/6 + 652*w. Let m(s) = 3*s**3 + s**2. Calculate -4*c(t) + 14*m(t).\nAnswer: 2*t**3 + 6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7704 and 5481396.\nAnswer: 10962792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnzzijijnzz. What is prob of sequence znzi?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 61883802 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -17148 - -0.21.\nAnswer: -17147.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**2 + 19*g - 6. Let w be v(18). Suppose -4*m + 10 = 3*o - 5*o, 0 = 3*m + 5*o + w. Solve 3*r - 14 = m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -5*i**3 - 130*i**2 + 16*i + 423. Give k(-26).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/32, -675, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.3  (b) -0.2  (c) 2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -78*y**2\/5 - 21532*y\/5 + 7186\/5.\nAnswer: -2*(3*y - 1)*(13*y + 3593)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (5 - (4 - 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) 5.8  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9 + -1. Suppose 0 = 2*g - l*g + 582. Suppose -2*j = q - g, 0 = 4*j - 3*q + 7*q - 200. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/5, 2\/21, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 5*o - 74 = 0, 4*u + 19 = -9*o + 8*o for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 220261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 15 + -4. Suppose -c*d + 9*d = -18. Calculate the greatest common divisor of 3 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4.64 - 4.94. Which is the closest to -0.3?  (a) -6  (b) m  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 892\/455 + (-6)\/(-39). Let o = -12\/5 + c. Let v = 7 - 7.1. Which is greater: o or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 6*m**2 + 92*m + 115. Let c be v(-14). Solve 8 + 3 = z + 4*k, 0 = -2*z + c*k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 30459991?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1016*t - 1106*t - 486*t + 846*t.\nAnswer: -1762*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-23 - 0 - -1) + (22 - (28 + -8))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q - 1. Suppose 2*a = -0*a - 2. Let w(c) = -c - 6. Give a*w(j) + 6*p(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - n + 35 = -3*g, 0 = n + 4*g + 16. Suppose n*v - 15 = -v. What is the least common multiple of v and -1 - (-5)\/(5\/8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*z + 11*z + 20 = 0. Let a be (-2 + -1)\/(z\/5 + -1). What is the closest to 0 in 4, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1800)*2 - sqrt(1800))*-2.\nAnswer: -60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*k + 2*k - k)*(-3 + 2 - 1) - 7*k + 2*k + 3*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*h + 5*k = 2*h, -14 = -3*h + 4*k. Let g be (-6 + -2)*h\/(-2). Solve 2*d - g = -4*j + 4, -4*j + 26 = -5*d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/4*(-2)\/((-6)\/(-3)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 23*a**4*j - a**4 - 66*a**3*j + 2*a*j + 166*j + 4 wrt a?\nAnswer: 276*a**2*j - 12*a**2 - 396*a*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 40959?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.01 in 2, -5, -2, -497?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 4 = 0, -3*c - m + 4*m = 0. Let h be (4\/(-32))\/(c\/2). Factor -z + h + z**2.\nAnswer: (2*z - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fi when two letters picked without replacement from {f: 8, u: 6, i: 2, y: 3}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 448.9 - 444.934. Let g = m - 0.066. Let h = g + 0.1. Sort h, 3, -0.3 in increasing order.\nAnswer: -0.3, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -16 + 12 + 13*7. Suppose 3*v = 5*g + p, 3*g - 4*g - 27 = -3*v. Let o = 24 + g. What is the remainder when 24 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -32, -146, -350, -656, -1076, -1622, -2306, -3140?\nAnswer: -4136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 + 1. Suppose 3*y = m*y - 30. Let t = y + -6. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-12))**(-34) assuming d is positive.\nAnswer: d**408","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 239503 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z + 3*z + z)*(-11*z**2 + 0*z**2 - 2*z**2) + (3*z - 3*z + 2*z)*(z - z + z**2).\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 4\/17, -6 in increasing order.\nAnswer: -6, -0.3, 4\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 0.093*-3\nAnswer: -0.279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -a5231 (base 16) in base 7?\nAnswer: -5515005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 210, 428, 646?\nAnswer: 864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*o - 8*o - 16. Let l be (66\/(-18) - -4) + o\/3. Suppose n = l*n. Solve n = -4*j + 2*j + 3*p + 12, -2*p - 4 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**3 - 6*b**2 - 7*b + 10. Let f(c) = c + 12. Let p be f(-5). List the prime factors of h(p).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the second derivative of -3\/2*p**3 + 0 + 11\/2*p**2 - 6*p + 1\/12*p**4. Let y be w(8). Solve -y*j + 8 = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5710807.1099846 + 5710735.11. Let b = -72 - l. Round b to six dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + 2 + (-9 - -22) - 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pnp when three letters picked without replacement from mmpmwpwmmnkmkmm.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**3 + 18*t**2 + 57*t - 103. Let d be w(-13). Solve -d = -265*m + 264*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5885 or -347142\/59?\nAnswer: -347142\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1470153722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m + 4*t = 12*m - 21, 5*m = 2*t + 23. Solve -5*h + 20 = -5*z, 3*z - m*h + 4 = -4*h for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 - -61. Let s be (-1)\/((-14)\/(-119))*-2. What is the greatest common factor of w and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.3  (b) 6  (c) -43.15  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k**4 - 15*k**3 - 210*k**2 - 500*k - 360 = 0 for k.\nAnswer: -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**2\/11 - 10*t\/11 - 208\/11.\nAnswer: 2*(t - 13)*(t + 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 252454474 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10 - -13. Suppose 577 = 2*t - i*u, -3*t - 2*t + 2*u = -1459. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/62 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**3 - r**2 - 1. Let w be l(1). Suppose 0 = -2*a + 7*a - 60. What is the remainder when 38 + 1*(-2 + w) is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 555 - 1158. What is k rounded to the nearest ten?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -20 - -20.101. Which is smaller: 0.1 or i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -11, -5 in decreasing order.\nAnswer: 3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001320118 rounded to 6 decimal places?\nAnswer: -0.000132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 329 - 307. Let z = 14 - 2. Calculate the remainder when u is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1020.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1719 or 1749?\nAnswer: 1719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -49167, -87897, -126627, -165357, -204087?\nAnswer: -242817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 2, h: 1, w: 1, u: 2}. What is prob of picking 1 w, 1 h, and 2 u?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 63*i + 4. What is a(-3)?\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132 = 4*x - 4*y, 5*y + 27 = x - 2. What is the remainder when 74 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = -5*n - 2*j + j, -3 = -n - j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/(-6)*(11 + -2). Suppose y - v*y = 4. Let q be 1\/y*(1 - 7). Solve -q*n - 4 = z + 15, 0 = 2*z + 5*n + 33 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13070455?\nAnswer: 5, 503, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 106 a factor of 21579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**2 + 4*i + 3. Let k(l) = -l**2 + l + 2. Let m be k(0). Suppose -m*w - j - 6 = 2*w, -j = w. Calculate v(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8 + 1 - -1) + -14 + (-5 - -39)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i**3 + 1625635*i**2 - 9753990*i = 0 for i.\nAnswer: -325133, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -45141730 to the nearest 10000.\nAnswer: -45140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 654896 and 224114?\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 218, 271, 322, 371, 418, 463, 506?\n\"Answer: -y**2 + 56*y + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.78 + 0.39. Let f = 0.3900185 + k. Round f to six decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*n + 120 = -29*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9766598.\nAnswer: 2, 179, 27281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*f**3 + 4*f**3 - 5*f**3 + (1 + 2 - 1)*(0*f**3 + 3*f**3 - f**3) + 4 + 2*f**3 - 3*f**3 - 1.\nAnswer: 4*f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**2 - a + 1. Let w(y) = -4*y**2 - y + 2. Let v be w(-2). Let b = -11 - v. Determine m(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1450 - 5388 - 26930 = 1206*m for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 77539806?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 4*((-66)\/935)\/((-84)\/(-105))?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 87 - -59. Suppose 0 = 28*v + 374 - 507 - 567. Calculate the remainder when u is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 28 + -250\/9. Let f = 15 + -18. Which is the closest to f?  (a) -0.2  (b) k  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -48*i**2 + 336*i**3 - 677*i**3 + 52*i + 337*i**3.\nAnswer: -4*i*(i - 1)*(i + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 2*x**2. Suppose 4*k = 13*k - 72. Let n(r) = r + 12 + 6*r - k - 4. Calculate g(n(p)).\nAnswer: 98*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and 28.01406.\nAnswer: -14.00703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/(-114)*-4 - 80\/(-38). Solve -3*k - 15 = 5*p, 0 = 3*p + 5*k - i*k + 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((11 - 21) + 11)\/(1\/(-124)). Let g be w*(10\/2)\/10. Which is smaller: -365\/6 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4 + q - 4)*(-1 - 3 + 3) + 0*q + 2*q + 0*q - 2*q - 2 + 2)*(3 - 3 - q)*(848*q + 2821*q - 1576*q).\nAnswer: 2093*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2244 = -23*y + 6*y. Let m = y - 126. Solve 0 = 9*g - m*g - 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -255 by 57.\nAnswer: -85\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**2 + 8*q + 10. Calculate the lowest common multiple of 16 and r(8).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -4*j + 20, 2*v - 3 = 2*j - 13. Solve g + 0*g = -w + 10, j*g = -2*w + 35 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-88))\/(15 - 16)*(-5 - 1)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 o when two letters picked without replacement from {i: 4, o: 10, j: 1, n: 4}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.124 - 0.076. Let t(o) = o**3 - 2*o. Let h be t(2). What is the nearest to z in h, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 153624 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: Suppose 4*q = -2*l, -5*l - 8*q - 6 = -4*q. Let f be l - -5 - (-3 + 3). Sort 5\/2, f, -1, -3 in decreasing order.\nAnswer: f, 5\/2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 q when two letters picked without replacement from qjjpjdpdpppjqpjpp?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.6192 - -26477.25?\nAnswer: 26467.6308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 71*h**2 + 21*h**2 - 24*h**2.\nAnswer: 68*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 809*w**2 - 4*w - 200. Let a(x) = 24*x**2. Give s(a(g)).\nAnswer: 465984*g**4 - 96*g**2 - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1724*a - 5267*a + 1772*a + 1769*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -4, 3, 0, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d - 4*d = 18. Suppose 2*m - d*m = -6000. Let a = -2100 + m. What is a rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 7407\/2  (b) -3  (c) 0.5  (d) 1  (e) -5  (f) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z + 3*z - y, 0 = -4*y. Suppose -2*g + 4 = -z. Suppose -m - g = 3*c - 9, -m - 25 = -5*c. Solve 19 = -5*t + 2*v, c*t - 2*v + 14 = -0*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -4807, -8950, -12391, -15136, -17191, -18562, -19255, -19276?\n\"Answer: -q**3 + 357*q**2 - 5207*q + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -x**3 - 26 - 65*x**2 + 50*x**2 - 3*x**3 + 5*x**3 in the form w*x**2 + n + u*x + k*x**3 and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 439778 divided by 2.\nAnswer: 219889","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Solve -292*p - 7279 = -63*p - 2774 + 2136 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**3 - 20*z**2 + 25*z - 94. Calculate r(19).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -33*h + 157*h - 24*h + 173*h as q*h + y and give q.\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/9*(-9 + 0). Suppose 8 - 23 = -i*q. Solve 4*v + 27 = -4*t - 5, -q*v = -2*t + 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 178, 171, 164?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 78.10872 rounded to zero dps?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.05 minus 0.4?\nAnswer: 9.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 131\/6 and -53\/1914.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/(-5) + (-13)\/((-26325)\/1090) and 29\/90.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 202 = 2*d + 1, 5*v + 25 = 0. Suppose z - i + 2*i = d, -2*z = 5*i - 203. Which is the nearest to -1?  (a) z  (b) -1  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 740676 (base 9) in base 16?\nAnswer: 6b74e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1576232?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-92015)\/24708 - 37\/148. Let a = 274\/71 + k. Which is greater: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (13 - (-920)\/(-72)) + (-40)\/261. What is the closest to 0 in -0.4, i, -3\/4, -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 70*(186\/12)\/(-31).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 11 = 4. Let d(g) = a*g + 0*g + 0*g + 0*g. Let y(k) = -4*k**2. Determine d(y(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**3 + 17*a**2 + 15*a - 31. Let r be t(-16). Let c be (-13)\/(r - 11)*(0 - -18). Solve 4*j = 25 - c for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19723*h**3 + 19721*h**3 + 19715*h**3 + 19717*h**3 - 98591*h**3 + 19716*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 17249508 plus 0.017?\nAnswer: 17249508.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 800 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 35245189 to the power of 1\/2, to the nearest integer?\nAnswer: 5937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 184 = t, -4*t + 491 = -i - 232. What are the prime factors of t?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 4, d: 8, e: 1, s: 2}. What is prob of sequence ds?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1272761929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 18*l**3 + 18*l**2 + 3*l + 5. Let d be v(3). Let y = d - 655. Solve -y*h + 11 = 4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 1, 3, -1, 319, 58, 4 in ascending order.\nAnswer: -2, -1, 1, 3, 4, 58, 319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 584818197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 16002 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 667.7625g?\nAnswer: 0.6677625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3424 + -3420. Let y(g) be the third derivative of 0 - 1\/4*g**5 - 1\/3*g**3 - 8*g**2 + 0*g + 0*g**v. What is the first derivative of y(s) wrt s?\nAnswer: -30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 64 = 51. Let f = -80 - h. Suppose 3*l + 3 - 29 = -4*u, 5*u = -5*l + f. Solve y + y = l for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-6*(sqrt(76) - ((sqrt(76) - 1*sqrt(76)) + sqrt(76)))*-1)\/(sqrt(400) + sqrt(44)\/(sqrt(11)*3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 970 - 1957 = -2*y + 3*x - 972, -4*y + 4*x + 32 = 0 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 45*v**3 - 100*v**2 + 235*v + 555. Let h(k) = -11*k**3 + 25*k**2 - 56*k - 138. Let m(j) = 25*h(j) + 6*l(j). Factor m(z).\nAnswer: -5*(z - 4)*(z - 3)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 10 + 11*p**2 + 5*p**3 + p - 4*p**3 + 0*p**2. Let w be h(-11). Let z = w + 4. Solve z*k = -k - 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o - 11 - 8 = d, 5*d = o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 26741835 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 36379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/4)\/(1\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2254\/(-12) + (-59)\/354. Which is greater: -193 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-5 - -3)*2\/14. Let o = 547.8 - 548. What is the closest to o in 3, k, 1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -191*p + 123*p + 476 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -272491.4 to the nearest 100.\nAnswer: -272500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = -0*l - 10, d - 5*l = 36. Suppose -2*w = 3*z - d, -3*w = z + 4*z - 17. Solve 5*i - 1 = w for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 936618 and 888?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 78 - 123. Let i be 21\/2*(-5)\/(q\/(-6)). Let l = 37 + i. Calculate the greatest common divisor of 18 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1024) + (2*sqrt(1024) - sqrt(1024)) + sqrt(1024) + sqrt(1024) + sqrt(1024))\/sqrt(8) + 0 - (0 + sqrt(98) + -2 + -1).\nAnswer: 3 + 33*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 38 (base 11) to base 12\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 0*y + 5*c = -297, -c + 159 = 2*y. Let s = -55 + y. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.37 + 14.37. Let q = j + -14.54. Round q to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.4799878 - 0.48. Round d to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2699 > 2886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-two fifths of a millennium in years?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 497.98 + -502. Let k = 0.02 + r. Let a = k - -4. Is a greater than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 93*x + 85 = -8. Is x greater than 2\/22105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 346169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u**3 + 3*u**2 + 3*u + 7. Let c be a(-6). Let k = -23 - c. Let p = 347 - k. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q**3 + 2*q**3 - 2*q - 2*q**3)*(2 - 2 + 2*q**2).\nAnswer: 2*q**5 - 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72*q = 222*f + 74*q - 392, 0*q = 5*f + 3*q + 68 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -k + 2934556 - 2934556.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 424333\/591 or 718?\nAnswer: 424333\/591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -42, -34, -26?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*j + 4161 = 4189 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1100001010011001000110 (base 2) to base 6\nAnswer: 152200342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -2*f**3 - 5*f**2 - 2*f - 10. Let y(m) = -m**3 + m - 1. Let b(g) = -s(g) + 3*y(g). What are the prime factors of b(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**3 + 3*l**2 + 12*l - 8. Determine v(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0.1, 0.03, -0.3 in decreasing order.\nAnswer: 0.1, 0.03, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1049 divided by -861\nAnswer: -1049\/861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.1474 - 0.0526. Which is the biggest value?  (a) -22  (b) 1  (c) p  (d) 5  (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Round 0.2804949 to 4 dps.\nAnswer: 0.2805","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is (14\/3)\/((-10)\/(-105)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -120 - 145?\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*g + 29752 = -g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4*(-4)\/16*-1. Let a(k) be the first derivative of -k**4\/4 + 4*k**3\/3 + 3*k + 1. Let p be a(4). Put g, 5, p in ascending order.\nAnswer: g, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60*n + 80 = 58*n. Let p = n + 20. Is ((-8)\/p)\/((-1)\/(-510)) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 194002540?\nAnswer: 2, 5, 19, 83, 6151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 4*d + 13. What is o(-7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 - -4. Suppose 434 = -j + 4*v - 20, 3*j + i*v + 1432 = 0. Let r = -227 - j. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 83 + -412\/5. Let o(m) = -m**2 + m - 2. Let h be o(3). Let r = 12 + h. What is the nearest to 0.1 in r, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 3*w = 32, 7 = -t - 5*w + 2*w. Solve 2*h = -3*i + t - 0, 3*i + 5*h = 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10*s**6 + s**5 - 34*s**3 - 2*s**2 + 3*s + 5 wrt s.\nAnswer: 1200*s**3 + 60*s**2 - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ennrxkkd. Give prob of picking 1 r and 1 k.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c + 5 = 3*y - 6*y, -2*y = 3*c + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -133*a = 3377 - 584 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggggcggggggggggggg. Give prob of sequence gc.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 183*u**3 - 37661*u**2 + 37661*u**2 + (0*u**2 - 3*u**2 + 5*u**2)*(-3*u + 0*u + 2*u) + (3*u - 3*u - 2*u**2)*(-u - 2*u + u) - 8*u**3 + 19*u - 19*u.\nAnswer: 177*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -17 + 13. Sort 1, c, 0.\nAnswer: 0, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20157 is divided by 224?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the second derivative of -a**3\/3 - 2*a**2 + 25*a. Let r be q(-5). Solve -3*m - 15 = -4*o, 3*m + r = o - 0*o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2121533 + -14?\nAnswer: 2121517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -w**4\/4 + 327*w**3\/2 - 106025*w**2\/4 + 1316175*w - 4851000 = 0.\nAnswer: 4, 105, 440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3580 by -358.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -2*j. Let q(w) = -844193102*w**2. Calculate q(k(b)).\nAnswer: -3376772408*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34*p - 290*p + 2*p.\nAnswer: -322*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -18\/23?  (a) 0.1003  (b) 4  (c) -6  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 4*k**2 - 55*k + 164. Calculate m(15).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m - 41 + 37 = 0, 2*j = -2*m - 18 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = 3*s - 32 + 100, -2*s = 3*c - 149. Let w = 88 - c. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*j - 70000 = j. Round j to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 minus 529?\nAnswer: -528.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -31 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9423 is divided by 78.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 30*u**3 + 38*u**2 + 7*u. Let x(g) = 14*g**3 + 18*g**2 + 3*g. Determine -6*h(k) + 13*x(k).\nAnswer: 2*k**3 + 6*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**3 + 6*s**2 - 2*s + 14. Let y be q(6). Put y, -1, -3 in descending order.\nAnswer: y, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -25 - -42. Suppose 16*s - t*s = 0. Solve b + s*b = -2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68*r - 67*r = 4109. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + sqrt(75) + 1 + (sqrt(75) + (0 + sqrt(75) - sqrt(75)))*-4 + -3 + sqrt(75)*2 + sqrt(75) + 2)*3*-5)**2 + 0.\nAnswer: 5625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76*k = 65*k + 440. What is the lowest common multiple of k and 52?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that 4*q**2\/9 - 112*q\/9 = 0.\nAnswer: 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 76192.\nAnswer: 2, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -39227*d + 78445*d - 39220*d + 5. Calculate j(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.08 and 7067?\nAnswer: -565.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.141 - 4.141. What is the third biggest value in 4\/7, -2\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-16 - -15)*(-90 + 18\/6). Solve 92*t - i*t + 15 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**3 - 5*g**2 + 9*g - 5. Let t be k(5). Let c = t + -23. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 6*p**4 - 94*p**3 - 36*p**2 + 64*p = 0. What is p?\nAnswer: -1, 0, 2\/3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1155095*j + 12599270 with respect to j.\nAnswer: 1155095","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in -4212, -1\/3, 0.3, 8\/3, -1\/8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 5 - 213017*q.\nAnswer: -213017*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (516\/(-602))\/((-3)\/14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-13)\/(286\/12)*(-6)\/18\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 29 + -28. Let f be b\/(-5) + 13\/65. Suppose 5*u + 2*j - 11 = 0, 2*u + 5*j + f = 17. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 15319 - 14265. Does 34 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2002125, 8008531, 18019215, 32034183, 50053441?\nAnswer: 72076995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 67 + -66. Let c be (-81)\/(-18) + 6\/4. Let v(s) = -2*s + 0*s - s + c. Let i(r) = -r + 1. What is d*v(b) - 6*i(b)?\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 9321.5 to the nearest one hundred.\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -w**4 - 312*w**3 - 337*w + 1101337?\nAnswer: -4*w**3 - 936*w**2 - 337","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sfffffffsfsfffsffffs. What is prob of picking 2 f?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 71262543 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -26*b**2 + 2*b - 6. Let i(x) = 25*x**2 - 2*x + 5. Give 6*i(k) + 5*l(k).\nAnswer: 20*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002200447 to five dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 12022 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + -15 + 40 + -15 + 14.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 16942*r**3 + 980*r**2 + 84121651 wrt r.\nAnswer: 50826*r**2 + 1960*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -246*h**3 - 26*h**2 - 7*h. Let b(j) = 123*j**3 + 13*j**2 + 3*j. Let w(q) = 7*b(q) + 3*c(q). Find the third derivative of w(m) wrt m.\nAnswer: 738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3.7 - 4. Let y = 13\/8 + -9\/8. What is the closest to y in q, -0.5, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 58776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 220968, 441939, 662910, 883881, 1104852?\n\"Answer: 220971*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1 - (-2467)\/3) + (-8)\/24. Suppose 4*h - 265 = 4*p - b, 4*p - h = 550. Suppose 4*d - 277 = -5*l + 370, -l = -3*d - p. List the prime factors of l.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9688 and 4.\nAnswer: 9688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d = -5*c + 25, -3*d + 3*c = 22 + 18 - 22 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -3*f**3 - 6*f**2 + 13*f + 6. Let y(r) = -r**3 + 2*r**2 + r. Let l(t) = -n(t) + 2*y(t). List the prime factors of l(-8).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.7*0.08\nAnswer: 0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2646481775 to the power of 1\/3, to the nearest integer?\nAnswer: 1383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 5292751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 8*u**3 + 11*u**2 + 17*u. Let d(y) be the second derivative of 3*y**5\/20 + y**4\/3 + y**3 + 19*y + 2. What is -11*d(b) + 4*l(b)?\nAnswer: -b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 258*f**4*k**2 - 3*f**4 - 490*f**3*k**2 + f**2 + 843*f*k**2 - 18*k**2 + 22 wrt f?\nAnswer: 6192*f*k**2 - 72*f - 2940*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -378, -4.\nAnswer: -378, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 201005359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2948, -5856, -8762, -11666, -14568, -17468, -20366?\nAnswer: -23262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 77 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*n + 341 = 817. Which is the closest to -1\/2?  (a) 4  (b) 0.1  (c) 0  (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvvvvvnvnvvvvvvvvnvv. Give prob of sequence vn.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (51 - -1) + 5 + -1. Let z(b) = -4*b - 4. Let r be z(-3). What is the greatest common factor of q and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 46 and 9154.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 + -3506031?\nAnswer: -3506033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 14 + -50. Let d = c - -36.128. Let u = -0.12747 + d. What is u rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 + (-7 - 20) - (33 - 46)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-46)\/23)\/(2*(-2)\/(-16))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 75 by -15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -49?  (a) -23\/4  (b) -1\/9  (c) 0.3  (d) -482\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -43053333441 + -2?\nAnswer: -43053333443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**3 + l**2 + 29*l - 12. Let x be m(6). Let b be (2\/8)\/(-2 - x\/16). What is the third biggest value in -37, 0.4, b, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.05, -5, 0, 71, -0.3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/(-8) - 9\/(-4). Let x(n) = n**d - n + n + 6 + n - 3. Let y be x(0). Solve 5 = -4*i + y*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the second derivative of k**6\/6 - 5*k**4\/12 - 4*k. Factor w(q).\nAnswer: 5*q**2*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**2 - 12*b - 16. Let l be t(-10). Let p be (-273)\/(-126) + 8\/(-48). Solve 14 = -3*u + l*w, 0*u + 5*u = -4*w - p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 45*a - 19*a + 26 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/(2\/510*3). Suppose -5*d + 4*k = -g, -3*d = 5*k + 41 - 129. Is d a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 2*h**2 + 13*h + 16. What is l(-7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1580, 12752, 43084, 102158, 199556, 344860?\nAnswer: 547652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 3 + 1)*(3 - 2 - 3 + x)*(-3*x + 4*x + 4*x).\nAnswer: -10*x**2 + 20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/(-7) + (-1092)\/(-49). Calculate the greatest common factor of 44 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 57862964204*u - 57862964204*u - 2*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5810 and 210.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u\/u**6)*u**3)**(5\/8)*(u\/(u**0*u)*u**(2\/5)*u)\/(u*u**(5\/3)\/u*u\/((u*u**4)\/u)) assuming u is positive.\nAnswer: u**(1003\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 470*s + 3271. Give l(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**2 + 3*i + 1. Give g(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -186836, -373671, -560506?\n\"Answer: -186835*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + 11 + 0 - -8 - 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes before 10:12 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11 and 65841721?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 199002 and 6?\nAnswer: 199002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 10) + 13 + 3 + 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 3  (b) 2\/41  (c) -6  (d) 0.4  (e) 0.2  (f) 89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1442156518.\nAnswer: 2, 11, 31, 163, 12973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6975363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 56 or 6927\/121?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.039 + 4.039. What is the fourth smallest value in -1\/2, 0, 1\/9, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 83 + -29. Let n be (2\/3)\/(12\/w). Solve 2 = o - n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 6, d: 1, s: 3, q: 4}. Give prob of picking 3 q and 1 s.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 19 + -18.8. Which is the biggest value?  (a) 0  (b) l  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -105*n = -3*v - 101*n + 161, 0 = -4*v - 2*n + 4*n + 68 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -23723 divided by 3836?\nAnswer: -3389\/548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 209 + 8 = -29*s - 44 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.038 or 1?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -5*a, 2*a - 408 = s - 407. Sort 1, 6, s, 58.\nAnswer: 1, s, 6, 58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -12010114*s**3 + 495*s + 3048?\nAnswer: -72060684*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 22180 + 4*f - 22180. Let x(t) = -t**2 - t + 1. Let u(d) = 5*d**2 + 2*d - 2. Let j(n) = u(n) + 2*x(n). Calculate j(k(m)).\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d = -6 + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 15.9 - 88.9. Let a = f - -72.8. What is the second smallest value in 0.2, 0, -1\/2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 - 1)*(2*i**4 - 5*i**2 + 5*i**2 - i**3 + i**3 - 2*i**4 + (-i**3 + i**3 + 2*i**3)*(2*i - i - 3*i) - 142*i**4 - 19132*i**3 + 19132*i**3).\nAnswer: 292*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -86, 27, 1, -1 in decreasing order.\nAnswer: 27, 1, -1, -2, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 61 = 2*l - 7*l, -43 = -3*l - 5*k. Let f be l\/3 + 3\/9. Suppose f*a = 2 + 14. Solve -5*j = -5*x, -x + 4*x - 4 = a*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 377673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qn when two letters picked without replacement from {n: 6, q: 6}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29808 = 1897*n - 1713*n. Suppose 31 = 3*v - 23. Calculate the greatest common factor of n and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 529869079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 49, -2, 1.\nAnswer: -5, -2, 1, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 40\/22 - 4\/(-22). Let d = 10 - -16. Suppose 0 = 2*n + 4*z + 6, -4*z = -x*n - 0*n + d. Solve -2*p - n = 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -288312, -288329, -288364, -288423, -288512, -288637?\n\"Answer: -z**3 - 3*z**2 - z - 288307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 5*h**2 - 18*h - 123. Give k(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 201*v**2 - 108*v + 44*v + 61*v + 28. Let w(r) = 100*r**2 - 2*r + 14. Let t(y) = 3*l(y) - 5*w(y). Find the second derivative of t(k) wrt k.\nAnswer: 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**2 + 3*d + 22. What is the lowest common multiple of 12 and g(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4087435 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -24*u**3 - 6*u**2 - 30*u - 1. What is the thousands digit of v(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-9)\/(-84)*-4 - 8\/(-56)*-200. Let l(q) = -q**3 - 28*q**2 + 32*q + 72. What is l(c)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**3\/3 + 31*x**2 - 961*x + 29791\/3.\nAnswer: -(x - 31)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 874 is divided by 60.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**3 - 5*d**2 - 4*d - 7. Let t(y) = -4*y - 10. Let z be t(-5). Let g = z + -4. Determine q(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -30.6 - -33.06. Let l = o - -0.04. Let n = -2.5 - l. What is the nearest to 2 in -2\/23, 4, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**3 - q**2 - 2*q - 2. Let t be v(-1). Suppose -5*r + 5*z = -195, t = 4*r + 4*z - 95 - 45. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10120 + -1013012?\nAnswer: -1002342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 107 a factor of 14124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15 + 21. Let s be 1\/((t + -3)\/27). Let u(h) = -h - 1. Let f(r) = -5*r - 4. Calculate s*u(w) - 2*f(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 4*d + 47 = 132, -3*y = 3*d - 210. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 299 - 299. Let u(f) be the first derivative of -2\/15*f**3 - 3 + b*f - 1\/5*f**2. Let u(a) = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8804 - -22190. Let h(l) = -l**2 + 7*l + 2. Let i be h(5). Suppose y + 20378 = i*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7850 + -3686. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66 - 18 = -12*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -26332, -60851, -103554, -154441?\nAnswer: -213512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -130 = -20*g - b + 3*b, -4*g = -b - 23. Solve -g*h + 346 = 367 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 132 and 638?\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the second derivative of -10\/3*q**3 + 128*q + 175*q**2 + 0 + 1\/42*q**4. Factor t(v).\nAnswer: 2*(v - 35)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7040290*b - 20973*b**4 + 7040290*b + b**4 + 0*b**4 - 3*b**4 + (-b**2 + b - b)*(3*b + 2*b**2 - 3*b).\nAnswer: -20977*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -1\/9, 0.5, -1\/7, -1\/2, -2\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 0, 968, 3570, 8616, 16916, 29280?\n\"Answer: 135*i**3 + 7*i**2 + 2*i - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(1\/3))**(1\/14)*p**(-1)*p**(3\/2) assuming p is positive.\nAnswer: p**(11\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 4, -31, 2, 0, 8 in descending order.\nAnswer: 8, 4, 2, 0, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -7*q**2 + 1010*q + 753. What is u(145)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -253\/331?\nAnswer: -253\/331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) 5  (c) 0  (d) 47  (e) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 71554*f - 71555*f - 2*q - 1, -3*q - 4 = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-23)\/((-2415)\/826) + 68\/60 + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 45 - ((-8 - (14 + -16)) + -17 + 8 + 6)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1026643 < -1026643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -263470 or 17\/10?\nAnswer: -263470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z = d - 41, -3*z - 475*d + 28 = -477*d for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-two fifths of a meter in centimeters?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (2*(-32)\/16)\/(2\/(-3739))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -3*q + 64. Calculate the highest common divisor of q and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t, 1 y, and 1 f when four letters picked without replacement from {e: 1, k: 2, t: 4, f: 1, y: 2, l: 5}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -0.02 + -1.893\nAnswer: -1.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 123*j + 5. Suppose 2*k - 16 = -4*z, -12 = -z - 3*z. Let b(g) = 61*g + 3. Let c(o) = k*f(o) - 5*b(o). Let t be c(5). Round t to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 - -1. Suppose -16 - 19 = -s*m. Suppose m*g - 12 = 2*u, -3*u - 6 - 7 = -5*g. Solve l - g*x = -2, 0 - 2 = l + 3*x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 6\/5, 1176, 2\/5, -3\/136, 23?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r - 3*r - 5*r)*(-2 + 7 + 1)*(0*r - r + 3*r).\nAnswer: -108*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.5964237254 and 0.\nAnswer: 0.5964237254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -2\/11  (b) -306  (c) 0.3  (d) 1\/14  (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 358\/8 + (-5)\/(-20). Let a = u + -42. Solve 5*o = a*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 25*d**3 + 12*d**2 - 102*d - 40. Let b(c) = 25*c**3 + 13*c**2 - 77 - 39*c + 37 - 96*c + 32*c. Let g(l) = 2*b(l) - 3*y(l). Factor g(q).\nAnswer: -5*(q - 2)*(q + 2)*(5*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 + -83145?\nAnswer: -83145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c - 3*a + 23214, 7*c + 5*a - 13922 = 4*c. Let l = 37221\/8 - c. Find the common denominator of -37\/12 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the first derivative of y**4\/12 + 56*y**3\/9 + 279*y**2\/2 + 486*y + 323. Factor c(b).\nAnswer: (b + 2)*(b + 27)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -7*b + 1. Let x be q(1). Let v = x - -19\/3. Factor -1\/2*h**2 + v - 1\/2*h + 1\/3*h**3.\nAnswer: (h - 2)*(h + 1)*(2*h - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (7*(-32)\/(-672))\/((4\/6)\/(-1))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 256332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9.57 - 315.43. Let g = 323 + p. Put -0.2, 0.1, g, 1\/5 in increasing order.\nAnswer: g, -0.2, 0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -59\/7 - -8. Which is the closest to 0.1?  (a) i  (b) -5  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 - 7 = -4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -9 + 1 - (-153)\/(-36)*-8. Solve 32*o - 45*o + i = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2202220 - 101?\nAnswer: -2210021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/2 greater than or equal to -288282?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 167\/11 + ((-98)\/(-77))\/(-7). Solve -m*k = -16*k - 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 275*k**2*l*z + k**2*z + k**2 + 4*k*z - 54155*k - 77*l*z + z + 2 wrt l?\nAnswer: 275*k**2*z - 77*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-20)\/5)\/12)\/1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -532368 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 9*t + 2. Let p be ((2 - 1) + t)\/(-2). Suppose p*r + 2*r - 165 = -5*n, 0 = 2*r + n - 153. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-2*z**2 - z**2 + 2*z**2)*(-986 + 411 - 1361) - 3*z**2 - 2*z**2 + 3*z**2)*(1 - 2 + 0) as m*z + p*z**2 + x and give p.\nAnswer: -1934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes after 2:02 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xz when two letters picked without replacement from {m: 4, x: 1, z: 1, e: 4, t: 4, y: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -1975  (b) 2\/15  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**2 - 7*c + 12. What is n(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s**2 - 7028925*s + 28115620 = 0 for s.\nAnswer: 4, 1405781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*f = -62 + 917. Solve 58*k + 2 = f*k, 4 = -5*h + 3*k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -31059 - -53619. What is h rounded to the nearest 1000?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 9}. What is prob of sequence cc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 14 + -6. Let c = 85 + -183. What is the remainder when 22 is divided by (-2)\/8 - c\/z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d. Let c(w) be the third derivative of -101*w**4\/8 - 62*w**2 + 2. Calculate f(c(y)).\nAnswer: -303*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 98, 286, 560, 914, 1342, 1838, 2396?\nAnswer: 3010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29063*z - 9345 = 29330*z for z.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1223423242?\nAnswer: 2, 611711621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2171703*o**5 + 605831838*o + 1.\nAnswer: 43434060*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**2 + 8*q - 3. Let p be t(5). Solve -5*g + 5*j + p = -g, -10 = g + 2*j for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**3 + 23*p**2 + 26*p + 4. Let l be b(-21). Suppose l = w - 3117. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 74*r = 20*r + 486. Solve 15 - 15 = -r*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*l - 168 = 43*l - 90*l. Calculate the remainder when 225 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 126694*l - 38875 wrt l.\nAnswer: 126694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -854 + 854 + 12*i**3 + (0*i**2 + 0*i**2 - i**2)*(6*i - i - 3*i) + i**2 - i**2 + i**3 + (0*i + i - 3*i)*(-4*i**2 - i**2 + 4*i**2).\nAnswer: 13*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6166 - 6011.025. Let h = 127.97445 - z. Let l = h + 27. What is l rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20120120 (base 3) to base 16.\nAnswer: 12ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(110)\/((sqrt(90)\/sqrt(3))\/sqrt(3)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 79295121 and 1512441.\nAnswer: 555065847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*f - 24 = 40*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -715*y + 754*y = 1638. Calculate the greatest common divisor of y and 90.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 6*c. Let n(r) = r - r + 7*r**2 - 11*r**2 + 3*r - 13*r**2. What is p(n(s))?\nAnswer: -102*s**2 + 18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 36, 14, 4, -2, 3 in ascending order.\nAnswer: -2, 3, 4, 14, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 157*y + 49 - 23 - 26 + 561*y as z + w*y and give w.\nAnswer: 718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*l = 57*l + 5*k - 28, 5*k = 4*l + 12. Let b = -5 + 9. Solve 5*w - 12 = b*f, 2*f + l*w - 12 = 6*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24 - 16 - 75*x**3 - 9.\nAnswer: -75*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 80553669?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 9}. Give prob of picking 2 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(-3\/10)\/t)\/t)\/t)**33 assuming t is positive.\nAnswer: t**(-1089\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -2865000 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.04223 meters in kilometers?\nAnswer: 0.00104223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20186, -80341, -179852, -318107, -494494, -708401?\nAnswer: -959216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.9 - 2. Let q be (-2)\/(-6) - (-15)\/(-9). Let t = 6 + -11. Which is the closest to y?  (a) q  (b) 0.4  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3800)*-1*4 + sqrt(3800) + (sqrt(3800) + sqrt(3800)*2)*1)\/(sqrt(192)\/(sqrt(384) - (sqrt(384)*-3 + sqrt(384) - sqrt(384)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 83648657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -17*i - 26*i - 36*i - 809 + 27*i - 6*i**3 wrt i.\nAnswer: -18*i**2 - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*p*t**3 + 54*p*t**2 - 427*p*t*z + 2*p*t - 6*t**2*z + 3*t*z + z wrt t.\nAnswer: -12*p*t + 108*p - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 28*1\/(10 + -6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 49750 * -0.033.\nAnswer: -1641.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1263 is divided by 159?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 26786798449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -4*(-9)\/48 + 99\/12. Let y(v) = 8*v**2 - 10*v + 12. Let l be y(s). What is l rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -23 + -231331?\nAnswer: -232020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 5193 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 7 - 1)*(22*m**4 + 595*m**3 - 595*m**3 + 28*m**4).\nAnswer: -200*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*u + 4 = -31*u + 17*u. Solve -5*c = 25, -5*s - u*c = 3*c + 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 4, m: 8, g: 2, r: 2}. Give prob of picking 1 m and 1 g.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the third derivative of c**8\/840 - c**6\/72 - 2*c**3\/3 + 6*c**2. Let r(o) be the first derivative of f(o). Find the third derivative of r(h) wrt h.\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*h + 2*r - 108, -r = -7*h + 11*h - 71. Solve 9*s - 7 = -3*q + 13*s, 3*q + 2*s = -h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-2 + ((-2*sqrt(2057) + 4)**2 - sqrt(2057)) + -2 + (-3*sqrt(2057)*-5)**2 + sqrt(2057)).\nAnswer: -471065 + 176*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 422329.\nAnswer: 107, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z + 2*r + 3*r = -40, 0 = 4*z + 2*r - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 99\/2932 and 93\/4726?\nAnswer: 6928316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:24 PM and 1:43 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 3 - 6)*(-3*b**3 - 5*b**3 + 6*b**3).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 - -2. Let b be -1 + (-3 - (-50)\/p). Suppose -43 - b = -2*d. What is the greatest common factor of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v - 5. Let i be z(0). Let s be 2\/(-1) + (-70)\/(-10). Let t be (s + -7)\/(2\/(-5)). Sort t, -4, i in descending order.\nAnswer: t, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -146 + 147. What is the closest to -0.3 in -2\/9, 0, b?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 256191615?\nAnswer: 3, 5, 17, 334891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -1315*t. Let b(w) = -w**2. Determine b(l(g)).\nAnswer: -1729225*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - d + 60 = z, 0 = -4*z - 2*d + 54. Suppose -4*l + b + 10 = 4*b, 5*b = -l + z. Solve -l = -0*r - r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:31 AM and 6:44 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7511 - -7511.5. Sort -90, 4\/3, -2\/7, 0, t in decreasing order.\nAnswer: 4\/3, t, 0, -2\/7, -90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -15*k + 0*k + k + 16*k - 13*k**2 as y + m*k**2 + l*k and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 25722 divided by -25722\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 444\/6 + (-1)\/(-1). Suppose 3*o + 10 - 1 = 0. Let h be (-30)\/(3 - (2 - o)). What is the greatest common divisor of h and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.43, -0.2, -1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 12 = -7*l. Find the common denominator of 28\/(-72) - (l + 2) and ((-1)\/6)\/(-1 + 12\/11).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 9, e: 1, z: 2, h: 1, d: 4}.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 24707 + -222343\/9. What is b in -t*b**4 + 40\/3*b**3 - 28\/9*b**5 + 0 + 80\/9*b**2 - 32\/9*b = 0?\nAnswer: -2, -1, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 3*q**2 + 8*q - 24. Let a(t) = 4*t**2 + 11*t - 33. Let v(n) = 8*a(n) - 11*p(n). Let o(y) be the first derivative of y**2 - 43*y + 2. What is v(o(r))?\nAnswer: -4*r**2 + 172*r - 1849","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -87*a + 142891 - 144109 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 219 is divided by 41?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -47*t + 5*t - 25*t + t - 3*t - t + (1 - 1 + 2)*(0*t - 3*t + t) in the form q*t + w and give q.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 39*s**2. Let c(f) = f**2 + 22. Give q(c(j)).\nAnswer: 39*j**4 + 1716*j**2 + 18876","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 47 + -37. Let l = -10.08 + t. Let j = -0.19 + l. What is j rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50 is divided by (8\/12)\/((-2)\/(-81)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -62.464 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3739 + 3738. Let x be (-4)\/(-6)*6 + 0. Suppose -x*q - q = 0. Sort q, v, -0.5.\nAnswer: v, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/(-10)*(-17 - -2). Let a be (-3*1)\/((-9)\/s). Let g = -1 + -1. What is the second smallest value in -0.5, a, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 450 and 942.\nAnswer: 70650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 66*o + 161. Let m(t) = -23*t - 54. Let d(a) = 7*m(a) + 2*z(a). Let j be d(-2). Determine s, given that 8\/5 - 8\/5*s**j - 4\/5*s + 4\/5*s**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -11*h. Suppose 3*o = 5*o - 52. Let b = 27 - o. Determine y(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1*1 + 14 + -27. Let p be ((-21)\/z)\/(6\/8). Solve -p*t - t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(36)\/((sqrt(192) + sqrt(48))\/sqrt(4)).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/272623 and -21\/40690.\nAnswer: 2726230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*p + m, 0*p - 18 = p + 5*m. Let t be 1\/((0 - p) + 1). Which is the third biggest value?  (a) 1  (b) t  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 19 = 4*m, m = -3*q + 923 - 933. Sort 1, -1066, q in decreasing order.\nAnswer: 1, q, -1066","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4976919?\nAnswer: 3, 552991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 4, 3, -60, -2 in decreasing order.\nAnswer: 4, 3, 0, -2, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-3)*-2*3. Let l(p) = p**3 - 3*p**2 - 2*p - 5. Let c be l(g). Suppose -j - 2*f = 2*j - 20, c*f = -15. What is the highest common divisor of j and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 534273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1670*x - 1991*x - 12085 = 15258 - 4873 for x.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + ((-1 - -1) + -2 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -14.8 - -14.8149. Round d to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.7 - -1.7. Let c = -0.8 + p. Let l = 2 + 1. Sort c, 4, l in ascending order.\nAnswer: c, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 135\/((-46761300)\/37398) + 4\/120*3.\nAnswer: -2\/251","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31800 = 10*i - 7190. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 17, n: 2}. Give prob of sequence lnn.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 26822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 1017 = -9*y, -72 = -4*t - 60. What is the remainder when y is divided by (52\/(-16))\/(2\/(-24))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l**2 - 5*l + 6. Let s be r(6). Let q = -5 + 7. Let y = -2 + q. Solve 3*u + 0 + s = y for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the third derivative of 0*i - 1\/5*i**5 - 7\/3*i**3 + 13*i**2 + 0 - 1\/60*i**6 - 1\/12*i**4. Let k be h(-6). Let w(p) = p**3 + 3*p**2 - 1. What is w(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 87*k - 11963. What is r(138)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-45)\/(-12) + (-2)\/(-8). Suppose 4*a - 16 + 4 = 4*d, -d = -2*a + 7. Suppose a*v - b + o*b = 2645, -b = -4*v + 2649. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-1 + sqrt(98))**2 + -1.\nAnswer: -14*sqrt(2) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a. Let f(j) = 10*j - 2. What is -f(c) + 8*l(c)?\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.1, -1\/5, -147036?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z**3 + 2301*z**2\/4 - 33441*z\/4 + 7788 = 0.\nAnswer: 1, 59\/4, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 1 = -z. Let k = 171 + 89. Let b(v) = -k*v - 1 + 259*v + 1. Let x(s) = -4*s - 1. Give z*b(c) - x(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 444 is divided by 50.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -63, -314, -6, -3 in ascending order.\nAnswer: -314, -63, -6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 times -2102?\nAnswer: -56754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*n**3 + 4*n**3 + 3*n**3 + (-2*n + 2*n + n**2)*(2*n + 0*n - 3*n) - 2*n**3 + n - n - 13975*n + 13975*n + 1729*n**3.\nAnswer: 1728*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 140131 + -1031?\nAnswer: 137100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00010956 to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 40569 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.46 + -0.06. Let c be (-103)\/(-66) + 468\/(-7722). What is the nearest to -1 in c, i, 13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 203276 to the power of 1\/2, to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -16.93 - -17.52. Which is the biggest value?  (a) 5  (b) q  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 1, w: 1, u: 1, c: 1, j: 4}. What is prob of sequence jpuj?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/132*(224\/(-2240))\/(1\/4)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 7, 22, -4, 3, 5, -689 in ascending order.\nAnswer: -689, -5, -4, 3, 5, 7, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1801126*y**3 + 900616*y**3 + 900639*y**3.\nAnswer: 129*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 426701412 to the power of 1\/3, to the nearest integer?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) -5  (b) -17.5  (c) -94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 15\/4 of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**3 - 196*k**2 + 377*k + 2504. Determine s(194).\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 937611 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*c**2 + c**2 + 5*c**2)*(-1 + 5 - 3) + c**2 - 3*c**2 + 4*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 - -7d401?\nAnswer: 7d404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1910969 to the power of 1\/2, to the nearest integer?\nAnswer: 1382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 460 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1195.477 rounded to the nearest integer?\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 11356354.4 to the nearest 10000.\nAnswer: 11360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 8*y**2 + 2*y - 6. What is r(-4)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 - 95 = -4*q. Suppose 7 = m - q. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5258446, 5258262, 5258078?\nAnswer: 5257894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the first derivative of 1 + 3*j**2 + 5 - 5 - 11*j. Let f(v) = 3 + v - 2*v - 1. Determine 11*f(m) + 2*r(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7265082 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3232.3 - -3233. Which is the nearest to -2\/15?  (a) -3  (b) 3\/4  (c) -2  (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -527 - -529. Let r(l) = 2*l - 8. Let h be r(6). Suppose -f - 10 = -4*a, h*f = y*a + 2 - 0. Solve 2*v = -a*c - 6, 15 = -5*v + 2*c - 0*c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v**2 - 2*v**2 - v**2)*(v**2 - 3 + 3) - 6177258 + 6177258 - 1678*v**3 - 2*v**4.\nAnswer: -5*v**4 - 1678*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 205 divided by -532?\nAnswer: -205\/532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72*r + 799 + 1108 = 539. Solve t - 20 = -4*g, -16*g = -r*g + 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuwasusaauappupa. Give prob of picking 2 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3251860 - 0.008.\nAnswer: -3251860.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -4  (b) -0.1  (c) 10.4  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 - -3. Let x be y - -2 - 2*-1. Suppose -x*s = 5*z, 4*z = 6*z - 3*s. Solve z = -2*j - 0 + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -38*o + 598. Let y be h(16). Which is the nearest to -1?  (a) -0.5  (b) -0.26  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 88 - 54 = 17*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3856 and 11327.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 169*k - 173*k - 32 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1637866780?\nAnswer: 2, 5, 11, 1583, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 685\/306, -0.4, -0.2, -1 in descending order.\nAnswer: 685\/306, -0.2, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of w**6*z + 332*w**4*z**3 + 4*w**2*z**3 - 64*z**3 wrt w.\nAnswer: 120*w**3*z + 7968*w*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 5) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**2 + 16*q + 52. Let u be d(-3). What is the hundreds digit of 134*45\/10*u\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 7\/3 of a week?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**2 + 5*r - 44. Let v be g(-15). Let s = v - -121. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3882 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -q**3*x**2 - 3*q**3 + 258*q**2*x - 146*q*x**2 wrt x?\nAnswer: -2*q**3 - 292*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13 - 11. Sort f, -5, 1.\nAnswer: -5, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/(-18) + -1*(-10)\/45. Suppose c = -o + 8*o. Solve o = -r + 6*r - 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1208 + 1211. Solve 3*n - 4*f - 31 = 0, 4*n + 7*f - 4 = t*f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 40 and 21584?\nAnswer: 107920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 383702 is divided by 577.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 + -1. Let r = 11 - w. Calculate the lowest common multiple of 5 and r.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -28.3 and 104.\nAnswer: -2943.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 take away 68.04?\nAnswer: -67.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 121 + -115. Sort t, 1, 2, 4.\nAnswer: 1, 2, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jfl when three letters picked without replacement from {j: 1, l: 1, f: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/2560 and 187\/480?\nAnswer: 7680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -55 - -68. Suppose 4 = -2*y - 24. Let b = -10 - y. Calculate the remainder when l is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -49, -159, -343, -601, -933?\n\"Answer: -37*g**2 + g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 58143*k**4 + 37*k**3 + 11885608*k**2?\nAnswer: 1395432*k + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 x, and 1 a when three letters picked without replacement from {x: 1, a: 3, i: 1, s: 9, o: 4}.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 10010111 (base 2) to base 12\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 145 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gdem when four letters picked without replacement from rmrmgdbddmrmdmmgemgg?\nAnswer: 14\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-4))\/((-15)\/210*-21)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -350.97 rounded to the nearest ten?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -5, -1, 2, -3401, 4 in ascending order.\nAnswer: -3401, -5, -1, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 (base 16) in base 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 601 - 599. Let i = 0.3 + -0.2. Let d = 0 - i. What is the third smallest value in q, -3\/4, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/(-10) - 66\/(-10). What are the prime factors of (n\/14)\/(2\/140)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l + 4. Let z be q(7). Let b = -6 + z. Let r = -14 - -19. Solve -5*v + b*g - r = 0, -2*v - 6*g + g = -19 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 4*p**2 + 2*p + 1. Suppose 3*d = 3*c - 3, d = 3*c - 0*d - 7. Let k be c*(0 + 1\/(-3)). What is the units digit of v(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 501*t**2 + 833*t?\nAnswer: 1002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101110001 + 11?\nAnswer: -101101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 28932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 535079?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*k + 5*d - 443 = -256, -2*k = -4*d - 22 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 18754 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -p + 5*h - 16, 0 = -3*p - 3*h + 42 - 36 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 580, -5, -4, 9, -1123 in decreasing order.\nAnswer: 580, 9, -4, -5, -1123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 15 = -2*r, -4*r - 3*g + 3 + 18 = 0. Let f be (r\/(-1))\/(18\/(-4)). Let c be 4\/(-18)*(-6)\/8. Put -0.4, f, c in decreasing order.\nAnswer: f, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 b when two letters picked without replacement from {c: 7, j: 3, b: 3}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(80) + -1 + (1 + sqrt(5))*1 + -5)**2 - (-1 + sqrt(5) + sqrt(5) + 0 + (sqrt(180)\/sqrt(3))\/sqrt(12)).\nAnswer: -53*sqrt(5) + 151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -6, 35, -2, -14, -3.\nAnswer: -14, -6, -3, -2, 0, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -74 or -980\/13?\nAnswer: -980\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 92800 rounded to the nearest 1000?\nAnswer: 93000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 5042, 5053, 5070, 5093?\n\"Answer: 3*t**2 + 2*t + 5037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 3*p**2 - 3*p - 3. Let q be g(4). Let m = 17 - q. Let a = 12 + m. Sort 2, 1, a in decreasing order.\nAnswer: 2, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*u - 5*u - 44. Is 16 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7146 + -7148. Which is the nearest to 12?  (a) -2\/7  (b) -1  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -586*n + 642*n + 586*n + 656*n + (5 - 5 - 2)*(2*n + 1 - 1) in the form p + b*n and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 148 + -149.74. Let k = y - -0.74. Let p = 646\/5 + -130. Which is the third smallest value?  (a) p  (b) k  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 5*j = 7*d + 21, 0 = 2*d + j + 1. Solve -3*q - 2*r = -21, 7*q + 2*r - 31 = d*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*x - 3*x - 250*x**2 + 248*x**2 + x.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7452736 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 105 - (236 + -37 + -120)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -2442*b + 92800. What is k(38)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*x**2 - 2*x**2 + 0*x**2 - x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -3*o**5 - 1164*o**4 + 10692*o**3 - 10842*o**2 - 48705*o + 50022 = 0.\nAnswer: -397, -2, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-8 + 11 - 4) + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 26897633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 64*w. Let g(d) = 35169*d - 17726*d - 17650*d. Give k(g(m)).\nAnswer: -13248*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4099676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.23 + -0.126. Let b = 8.91 - 9. Let k = g + b. What is k rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 336\/20 - (-2)\/10. Suppose -u = -3*q + 11, -5*q + 3*u + 0 = -n. Solve q*x + 10 = -6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12\/353 + 4229\/10590. Find the common denominator of x and (-28)\/21 - (-273)\/495.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 14977.308 months?\nAnswer: 1.248109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -301 (base 7) to base 10.\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (324\/153)\/((-456)\/3876)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 3, n: 1, s: 1, w: 3, f: 2, o: 3}. Give prob of sequence oswn.\nAnswer: 3\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -4*x**3 + 42*x**2 + 2*x. Let b(s) = 3*s**3 - 40*s**2 - 2*s. Determine 3*b(f) + 2*h(f).\nAnswer: f**3 - 36*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -43826 - -606?\nAnswer: -43220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*l + 25*l = -2. What is the highest common divisor of l and 77?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5\/1408 and 35\/2112.\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1039.4 - 1038.4. Let t = -80 + 40. Let z be (t\/18 + 2)\/(-1). Which is the closest to i?  (a) 2  (b) z  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**(-2\/9)*c*c\/c**(-4))\/(((c*c*c*c*c**(2\/11)*c*c)\/c)\/c**(-3)))**(-21))**(-43\/2) assuming c is positive.\nAnswer: c**(-35819\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are -233057 and -233057 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 + -1 - -4) + (3 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:40 AM and 8:04 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*y**2 + 0*y**2 + 3*y**2)*(0*y**2 + 4*y**2 - 3*y**2 + (-3*y + 0*y + y)*(-2*y - y + 2*y) + 0*y**2 + 0*y**2 + y**2 + 21*y**2 - 6*y**2 + 4*y**2).\nAnswer: -23*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 47.\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34464738?\nAnswer: 2, 3, 7, 11, 10657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*o + 2*o - 10 = 0. Let r be (o\/2)\/(4\/(-32)). Is 5 a factor of ((-4)\/(-4) - -11)*20\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -4  (b) 31  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 158.6238385 - 269.62381. Let y = -111 - a. Round y to six decimal places.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -10897799 and -0.5?\nAnswer: 5448899.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ckzzhhhtthz. What is prob of sequence thk?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*r - 2423 = 8917. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16445397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that o**5 + 78*o**4 + 1234*o**3 + 2088*o**2 - 1235*o - 2166 = 0.\nAnswer: -57, -19, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 431 - 1911 = -5*s + 4*a, 4*s = 3*a + 1184. Let j = s - -84. List the prime factors of j.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 5*r = -8*t + 235, 4*r = -3*t + 271. Calculate the greatest common divisor of 15 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s = -23 - 61. Let x(w) = 8*w**2 + 9*w**2 - 25*w**2 + 2 + 9*w**2 + s*w. Let q be x(-14). Solve 5*v - q = -27 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 883895626?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1078 - 553722.\nAnswer: -552644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 100797 is divided by 14392?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1048578121?\nAnswer: 1048578121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 4145854, 1, -0.1, -0.2 in decreasing order.\nAnswer: 4145854, 1, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62*i = -30*i - 263*i. Solve 19*c - 4*c - 105 = i for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3 + 6 + p)*(-4 + 0 + 2).\nAnswer: -2*p - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -359, -716, -1073, -1430, -1787, -2144?\n\"Answer: -357*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -4*j - 102. Let i(h) = -3*h - 68. Let l(z) = -2*f(z) + 3*i(z). Let y(p) = -222*p. Determine y(l(t)).\nAnswer: 222*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -11*a**3 + 7*a**2 + 7*a + 4. Let j(l) = -5*l**3 + 4*l**2 + 4*l + 2. Let d(f) = -7*j(f) + 4*k(f). Differentiate d(p) with respect to p.\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -9*d - 2. What is l(-3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 24*t - 40. Let p(b) = 25*b - 41. Let w(r) = -7*k(r) + 6*p(r). What is the remainder when w(-9) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 6\/29  (b) -1  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 58931 <= 58895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 120 and 100058.\nAnswer: 6003480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0.5, 0.06, 26, 2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.0378 and 20.93?\nAnswer: 20.9678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2069713424 and 3616?\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33002 is divided by 173?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 6 = 6. Let h(d) = -70 + 65 + 2*d**2 - 2*d**2 + d**a. What is h(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 15290548*n**3 + 792296*n + 2 wrt n.\nAnswer: 91743288*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h and 1 d when three letters picked without replacement from ddddhhd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-1)\/6)\/((-16)\/(-680349)). Let b = k + 7088. What is the common denominator of 212675\/(-14100) - ((-42)\/12)\/(1\/2) and b?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (152 - 166) + 4 + (1 - -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 144 - 12. Let v = -131.999999324 + b. What is v rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2035 is divided by 73?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - (-2 + 2) - (9 - -19 - -1).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 - (3 - (1 - 3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5 + 0. Suppose 0 = -4*q + o*q + 1. What is the smallest value in q, -4, -1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9171 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 592381825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64*v**4 + 3024*v**3 + 15335*v**2 + 24354*v + 12584 = 0. Calculate v.\nAnswer: -2, -11\/8, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1798?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.209 and 886831.\nAnswer: 886831.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 4*b - 7 = -4*j, -25 = -2*j + 5*b. Let z(p) = -p**3 + p**2 + 8*p - 8. Let n be z(3). Sort 4, j, -4, n in ascending order.\nAnswer: -4, n, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-38 + (-646)\/(-51))\/((-8)\/30)\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22819.\nAnswer: 19, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 0*h = 0, 0 = 5*q - 4*h - 385. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*q + 3*q - 22*q + 15*q - 221*q**2 in the form x*q**2 + o*q + z and give x.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 13948 and 8882340?\nAnswer: 97705740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2510371205 to the nearest integer?\nAnswer: 50104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -306 + 558. Suppose z = 39*y - 51*y. Is -22 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 1 = -5*z - 9, 38 = 4*f + z. Let c(w) = 4*w. Let y(s) = 1 - 3 - 2 + 3 + 17*s. Calculate f*c(o) - 2*y(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2671, 2690, 2707, 2722, 2735, 2746, 2755?\nAnswer: 2762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -496 - 48*h - 492 + 1420 + 4*h - 432.\nAnswer: -44*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -105 + 346 + 4*v**2 - 111 - 114 - v**2 - 19.\nAnswer: 3*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.24 and 13.571502296513.\nAnswer: 13.331502296513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9700.273 decades to months.\nAnswer: 1164032.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 77 in -2\/11, 0.07, -2, 9, 0.0122?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.17 and 1208492744797.\nAnswer: 1208492744796.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 12624*v - 34963?\nAnswer: 12624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1652188 divided by 826094?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -27.85 - -29. Sort -2, 5, l.\nAnswer: -2, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*v**5 - 84*v**4 + 204*v**3 + 1252*v**2 - 1488*v - 2448 = 0. Calculate v.\nAnswer: -3, -1, 2, 6, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1015*k - 3 = 1017*k + 5*a, 0 = -4*k - 5*a - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -15\/496502 and 1?\nAnswer: 496502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 119*m**5 - 133*m**5 - 200*m**5 + (0*m**3 + m**3 - 3*m**3)*(4*m + 0*m - 7*m + (2*m - 5*m + 2*m)*(0 - 2 + 3))*(-3*m - m + 2*m).\nAnswer: -230*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = -4*w + 2*v, 12 = -4*w + 4*v - 8. Let f(y) = y**2 + 10*y + 11. Let p be f(w). What is the third derivative of -d**4 - 2*d**p + 0*d**2 - d**4 wrt d?\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:43 AM and 11:01 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 1071960 * 0.028\nAnswer: 30014.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h**5 - 67*h**4 + 314*h**3 + 672*h**2 + 288*h = 0. What is h?\nAnswer: -1, -2\/3, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2469*v**6 + 243*v**4 - 6*v**3 + 393049*v**2 + 192*v?\nAnswer: 296280*v**3 + 5832*v - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -22662 + 45327\/2. Let s be 2\/(-3) + (-20)\/(-3). Factor 0*h + 15\/2*h**3 - u*h**4 + 0 - s*h**2.\nAnswer: -3*h**2*(h - 4)*(h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1545*r - 623*r + 2452*r - 2 + 1399*r.\nAnswer: 4773*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 + 9. Suppose 2*m + 2 + 1 = -c, 4*c - i*m - 24 = 0. Solve 0 = c*y + 6 - 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -232916580 + 232916562.99999928. Let j = 8 + -25. Let g = j - y. Round g to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 2*u = 0. Suppose -4*t + t + 6 = u. Is 133\/t + (-2)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3*(-2)\/21 + 69\/21. Suppose -l*s + 30 = 5*x, 5*x - 5*s = -17 + 7. Solve 2*y + 2*y = p + 6, 0 = -p - x*y + 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 620125818 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 7*w + 11. Let n(z) = -156*z + 10. Let b(o) = 69*o - 5. Let d(c) = -9*b(c) - 4*n(c). Calculate 5*d(i) - 2*h(i).\nAnswer: i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 11*w**3 - 2*w**2 - 2*w + 2. Let p be t(2). Let b = 200 - p. List the prime factors of b.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 2667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2358526?\nAnswer: 2, 1179263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1427599276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffffffbfffbfbffffbb. Give prob of sequence bfff.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 (base 14) in base 6?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1864 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: Is 44953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4770\/71137 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 29 + -15 + (-9 - -1) - (2 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -168*q = -170*q + 14 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**2 + 16*b + 22. What is the units digit of q(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(-15))\/(-1*1\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dpdprpcrsscrcsskpcr. What is prob of picking 2 r and 1 p?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-3\/4)\/y)\/y)\/y*(y*y\/(y**(-1\/5)*y))\/y*(y*(y*y**5*y*y)\/y*y)\/y*y*y*y\/y**(-8) assuming y is positive.\nAnswer: y**(309\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u - 0*u - 9. Let a(q) = q + 10. Let g be a(u). Sort 2, -4, g in ascending order.\nAnswer: -4, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 26380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 58, 51, 24, -29, -114, -237, -404?\n\"Answer: -s**3 - 4*s**2 + 12*s + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the second derivative of 3\/2*t**2 + t - 5\/6*t**3 + 0. Is o(-2) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -2  (b) -1\/2  (c) 1\/25  (d) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -795732*q**5 - 5*q + 619162 wrt q.\nAnswer: -15914640*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in nine tenths of a microsecond?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*h - 277 = -121 - 57 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5719?\nAnswer: 7, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 150 - 601\/4. Let w = -36 - -32.6. Let l = 2.9 + w. Is l less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the first derivative of -15123*x**4\/4 + 9656*x**3 + 2529*x**2\/2 + 54*x - 6517. Factor h(o).\nAnswer: -3*(o - 2)*(71*o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7*z**4 - 84*z**2 - 1141 wrt z.\nAnswer: -28*z**3 - 168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 168 is divided by (-8 - 1736\/(-98))\/(-2 - 45\/(-21)).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7273*v - 38 + 21851*v - 7290*v - 7287*v + 12.\nAnswer: v - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -p*r**3 - 6*p*r**2 + 17*r**3 wrt p.\nAnswer: -r**3 - 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 6676, 3805, 934, -1937, -4808, -7679?\n\"Answer: -2871*a + 9547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 2*y**3\/5 - 26514*y**2\/5 + 100472022*y\/5 - 80253698454\/5 = 0.\nAnswer: 1083, 6087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.7957 + 0.8157. Which is the nearest to -0.3?  (a) 5  (b) x  (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u**3 - 12*u**2 + 5*u + 17. Let h = 179 + -192. Is 5 a factor of x(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 9*t - 4*t - 2 = 0, -3*t - 15 = 3*f. Let k be (-54)\/2*(-39)\/f. Let j = 199 + k. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 261\/17 or -7\/3601?\nAnswer: 261\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwqmwmwwwwllwmwwfwwf. What is prob of picking 2 l?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 + 0. Let l be n\/20 - (-11)\/5. Suppose d - 4*p - 10 = 0, -4*d - l*p + 44 = -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: Calculate the greatest common divisor of 323457 and 274.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 4, -14, 3\/31, -18\/11, 6?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -536, -1935, -4194, -7307, -11268?\n\"Answer: b**3 - 436*b**2 - 98*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*j**2 + 11*j - 3*j**2 + 11*j**2 - 5*j**2 as p + o*j**2 + x*j and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -151 + 158. Solve 27 = -4*n + r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -98142880 to the nearest 1000000.\nAnswer: -98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 175 divided by 29682\nAnswer: 175\/29682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 55, 33, 11, -11, -33, -55?\n\"Answer: -22*g + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 - -10. Let i(w) = 6*w**2 - 2*w - 2. Let m be i(2). Calculate the greatest common divisor of m and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -423*0.58514.\nAnswer: -247.51422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 29981374*g**3 + 51935203 wrt g?\nAnswer: 89944122*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 43 and 559.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 290 = 10*w + 6*s, -11*w = -2*w - 8*w - 5*s + 223 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000399941571 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange t + 6*t**2 + 4*t**2 - 6*t**2 + (343*t - 271*t + 453*t)*(4*t - 2*t + 0*t) to a + h*t + l*t**2 and give l.\nAnswer: 1054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -65, -101, -145, -203, -281, -385, -521?\nAnswer: -695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:50 PM and 4:43 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.2 - -1.6. Let n = 1.36 - -0.64. Let r = -326 - -2286\/7. What is the closest to u in n, -0.4, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 h when two letters picked without replacement from hffhiu?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**3 + 7*q**2 - 4*q + 99. Give s(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7027352039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 3*p**2 + 7*p - 5. Let h(a) be the second derivative of -9*a + 1\/2*a**3 - a**2 + 1\/12*a**4 + 0. Give -3*f(w) + 7*h(w).\nAnswer: -2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -3 - (-12)\/14*(-21 - -434). Calculate the highest common factor of v and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1743085?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 267 at least as big as -2\/1535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 7*g**3 + 4*g**2 + 3*g - 2. Let i(d) = -6*d**3 - 3*d**2 - 3*d + 1. Calculate -4*i(z) - 3*w(z).\nAnswer: 3*z**3 + 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -27 - -24. Let p = -0.73 + -4.27. Which is the closest to u?  (a) -2\/11  (b) p  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -4*a + 6378, -2 = -x - 0. Let v = 2473 - a. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 105199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10 + 11 + 3 - 3 + s to q + v*s and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (1\/1)\/(10\/50) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 84.03465 nanometers in kilometers?\nAnswer: 0.00000000008403465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -2394*h + 7134. Calculate z(3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let k = 29 - 25. What is the remainder when 9 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-7 + 5)\/(6\/(-39)). Let d = -11 + i. Suppose -g + 0*u - d*u = -52, u + 61 = g. List the prime factors of g.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 172*b**2 + 4*b + 278 wrt b.\nAnswer: 344*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01 plus 4125876830.1188?\nAnswer: 4125876830.1088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (13728\/1560)\/(2\/(-10)) - -17?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.3 and -3.315702.\nAnswer: -4.3104126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/(-12) + 16\/3. Suppose 2 = -3*f - 5*i + 222, i + 404 = 5*f. Suppose d*c + f = 255. Calculate the greatest common divisor of c and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o\/(((o**(4\/5)*o)\/o*o*o)\/o))**(3\/28)\/(o**(-3)*o**(-2\/19)*o) assuming o is positive.\nAnswer: o**(5657\/2660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 3*a**2 - 3*a - 8. Let q be h(7). Suppose q = 4*p - 162. Calculate the remainder when p is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 33981 and -471.\nAnswer: 33510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 (base 4) in base 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33*a**3 + 2911 + 2851 - 5762.\nAnswer: 33*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(99) - -2*sqrt(99)) - (sqrt(99) - (sqrt(99) + -1*sqrt(99)*1 + sqrt(99))))\/(sqrt(99)\/(sqrt(1100) + (sqrt(1100) + -3*sqrt(1100) - sqrt(1100)))).\nAnswer: 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g**4 - 10*g**2 - 2*g - 16*g**2 - 4*g - 8*g**2 + 24*g**2 - 2*g**3 = 0. Calculate g.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5 + -2)\/((-61)\/(-122))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*a**2 - 576460*a - 16615306580.\nAnswer: -5*(a + 57646)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3\/8 of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18401?\nAnswer: 18401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.2 + -2. Let p = -34453\/223691 - -3\/17207. Sort p, -0.6, 2\/7, k in descending order.\nAnswer: 2\/7, k, p, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a - 3*c - 27 = 0, 36 = 4*a - 2*c + 8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(231)\/sqrt(63))\/((-2*sqrt(3) - sqrt(3))*-6).\nAnswer: sqrt(11)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is seven fifteenths of a decade in months?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the third derivative of c**6\/120 + 7*c**5\/60 + c**4\/6 - 5*c**3\/6 - c**2. Let u(v) = v**3 + 4*v - 7. Let x be u(3). Let t = 26 - x. Calculate a(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:26 AM and 7:00 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76) - (3*sqrt(76)*2 - sqrt(76))) + sqrt(76) - sqrt(76))\/(sqrt(144)*3 - sqrt(144)).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -13*a + 180. Let v be ((-2)\/(-5))\/(a\/(-25))*6. Is -508*1\/(-1 + v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 5*d = 528, z + d - 6*d - 234 = 0. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w + 1 - 1)*((-w - 5*w**2 + w)*(2*w + 1 - 1) + 28*w**3 - 80 + 80).\nAnswer: -36*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5510388 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -8*n**2 + 177437 - 177443 - 107*n + 26*n. Give t(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1289 - -73469\/57. What is the third smallest value in h, 3, -5, -1\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 + -756150?\nAnswer: -756151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 7062.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 705459352 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -13*x + 9. Let v(d) be the first derivative of 25*d**2 - 16*d**2 - 4*d - d**2 - 5*d**2 - 68. Calculate -5*v(t) - 2*z(t).\nAnswer: -4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3217525087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2 - 2. Let r be (-1 - (-3)\/2)*12 + -3. Let v be 202\/44 - 4 - r\/6. What is the third smallest value in 1, z, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:35 AM and 11:44 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 90.3 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q - 3*w - 2, 4*q - q - 5*w - 14 = 0. Let x be (q - 486\/15)*-5. Let d = x - 93. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/((y**(-3)\/y)\/y))\/(y\/((y\/(y\/(y\/y**(-7))))\/y))*(y*(y*y\/(y*y\/(y**(-9\/5)*y)))\/y)\/(y*y**12*y) assuming y is positive.\nAnswer: y**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -579 - -579. Let c(k) be the third derivative of 0 + 0*k**4 + 0*k - 9*k**2 - 1\/15*k**6 - 7\/6*k**3 + x*k**5. Differentiate c(j) with respect to j.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 64 - 65.07. Let n = -0.93 + w. Let r = -0.4 - 4.6. What is the nearest to n in -0.5, r, -2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 22*j - 3*j - 21*j.\nAnswer: -2*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Are -7 and 22 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -8 + 38 + -3 - 22. Let g be 18*2*6\/18. Solve -u - g = k*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.82 + 0.82. Let n = 11.93 + -12. Let r = -0.23 + n. Which is greater: j or r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -126586, -126533, -126462, -126367, -126242, -126081?\n\"Answer: h**3 + 3*h**2 + 37*h - 126627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/2, 4, -0.1, 3\/7, 3.\nAnswer: -0.1, 3\/7, 3\/2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.08, -63, 4, 2\/15, -0.8?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 2*b**2 - 5*b + 1. Let l(d) = -d**2 + 6*d - 1. What is 3*l(o) + 2*v(o)?\nAnswer: o**2 + 8*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3489*h - 39 - 1169*h - 1160*h - 6 - 1159*h.\nAnswer: h - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -237 + 252. Calculate the remainder when ((-21)\/(-7))\/(15\/655) is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10 and 876?\nAnswer: 4380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((-2)\/(-300)*5*-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the first derivative of -p**6\/360 + 3*p**5\/20 + 11*p**4\/12 + 3*p**3 - 238. Let c(k) be the third derivative of a(k). What is c(19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 25*j - 14*j - 220. What is the lowest common multiple of 5 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -15*m. Let l(z) = -8*z + 27. Let u(o) = -2*o + 6. Let x(f) = -2*l(f) + 9*u(f). What is x(k(q))?\nAnswer: 30*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -17604.5337 rounded to zero decimal places?\nAnswer: -17605","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 5*b - 3130 = -7*p, -5*b = -4*p + 2513. Calculate the greatest common factor of 114 and p.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**0)**(-2\/11)*p**(-3\/5)*p**(2\/5)*(p**(1\/6)*p)\/(p**(-4)\/p)*(p**1)**(3\/16) assuming p is positive.\nAnswer: p**(15767\/2640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-24 - ((-35 - 15) + -13)) + 2 + -4\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 18\/(-20) + (-2)\/(-5). Let i = 3.1 - 3. Let o = 2 + 2. Which is the closest to h?  (a) i  (b) o  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1538 + -1526. Solve z*p - 78 + 30 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 98777218?\nAnswer: 2, 1459, 33851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -817287 - -4?\nAnswer: -817283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 - 7. Suppose 4*u - 3*u - 11 = o. Solve -3*y = -5*f + 9, -3*f - 3*y + u = -2*y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 82868147.\nAnswer: 71, 1167157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15197162 is divided by 7598579?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23028425*d - 1224 = 23028493*d for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8.22 + 1.18. Let a = -9.4 + m. Let x = 0.2 - 0.3. Sort x, a, 0.2.\nAnswer: x, a, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + sqrt(1088))*2)**2.\nAnswer: 256*sqrt(17) + 4416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2765 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 210480 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 471500 a multiple of 820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 241140318?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -2*k + 5. Let p be y(-4). Suppose 4 - p = -3*m. Solve 3*z + 20 = 4*x, 3*x + 1 = -m*z - 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6)\/(-5)*(-30)\/(-9). Suppose 8*r = 3*r + 450. Suppose 6 + r = 16*i. Solve w - 5 = q - 2*q, -i = -o*w + 3*q for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (6 + 0 + 12)*(-2 + 2 - l) + 0*l + 3*l + 3*l + (l + 3 - 3)*(-3 + 1 + 3) - 2*l + 0*l + 5*l as w*l + i and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 plus 551577.9634301?\nAnswer: 551579.9634301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000318 rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*k*s*w**3 + 5*k*s*w**2 + 33*k*s + 2392*k*w**3 + 2*k + 3*w**3 + 6 wrt w?\nAnswer: 12*k*s + 14352*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 684285 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -12*r**3 + 3*r - 3. Determine j(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -733356, 34.\nAnswer: -733356, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -57 - -297. Let t be (h\/(-16))\/((-3)\/2). What is the remainder when 8\/t - (-12736)\/80 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 51\/140 and -115\/28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*i + 4 + 4*i - 2)*(4*i + 57*i + 5*i) - 2*i**2 + i**2 + 0*i**2 + (0 + 0 + i)*(i + i + 0*i) as p + o*i + l*i**2 and give l.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 729 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) -2\/7  (b) -2\/1207  (c) -307\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 773.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4615883 times -0.155?\nAnswer: 0.0715461865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 3147, 6289, 9433, 12579?\n\"Answer: j**2 + 3139*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21617 is divided by 679.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c**5 + 180*c**4 - 33530*c**3 - 3820*c**2 + 699648*c + 669760 = 0.\nAnswer: -182, -4, -1, 5, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 2*a + 5, -21 = -5*a - 4*j - 91. Let c be (-16)\/a + (-8)\/(-20). Solve d - 4*d + 2 = z, -d = -z - c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 16 in 0, 4\/7, -3\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 111111 (base 2) to base 9\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the first derivative of r**5\/20 + r**4\/8 - 5*r**3\/6 + 2*r**2 + 4. Let y(c) be the second derivative of n(c). Is y(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -74\/27 + -2201\/54. Let u = -16408 - -295255\/18. Calculate the common denominator of l and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 586*l**3 - 90*l**3 + 343*l**3.\nAnswer: 839*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 203\/5 at most 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1128, 1119, 1100, 1065, 1008, 923, 804?\n\"Answer: -q**3 + q**2 - 5*q + 1133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3 + -3*241\/132 and -103\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -2226, -4467, -6708, -8949?\n\"Answer: -2241*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 246\/(-40)*(-1)\/9. Let y = -13\/12 + q. Let l = 1\/95 + 471\/380. What is the nearest to y in 0.5, 4, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 30\/7 + (-6)\/21. Suppose 0 = -3*x + p*t - 9, -4*t + t = -4*x - 12. Put x, 5, -5 in increasing order.\nAnswer: -5, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 533915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -4115?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3739 bigger than 3739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 1, -7, 2\/13 in descending order.\nAnswer: 1, 2\/13, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.1398 - -0.1398. What is the biggest value in -8\/145, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -13*s**2 - 5*s - 24. Let n(a) = 3*a**2 + a + 6. Calculate -2*g(z) - 9*n(z).\nAnswer: -z**2 + z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 22*v**4 - 18*v**3 - 10*v**2 + 42*v - 12. Let x(p) = -9*p**4 + 7*p**3 + 4*p**2 - 17*p + 5. Let z(s) = -12*x(s) - 5*y(s). Factor z(g).\nAnswer: -2*g*(g - 3)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.21, -0.5, -11, 1\/4, 2\/11 in increasing order.\nAnswer: -11, -0.5, -0.21, 2\/11, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 244688*f**4 + 3*f**3 + 2*f**2 + 12445271 wrt f.\nAnswer: 978752*f**3 + 9*f**2 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.2, 5, -3, -6, -1.1, -4?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (59580\/810 + -72)\/(1\/2 + 2\/4).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 333424840 divided by 718\nAnswer: 464380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 26 - 65424?\nAnswer: -65398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d - 0*d + 4*q + 2, -2*q = -4*d + 14. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b\/b**10*(b**0\/b)\/b assuming b is positive.\nAnswer: b**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -10*z**4 - 66*z**3 - 388*z**2 - 570*z - 268. Let c(b) = -29*b**4 - 199*b**3 - 1164*b**2 - 1711*b - 802. Let d(q) = 6*c(q) - 17*s(q). Factor d(x).\nAnswer: -4*(x + 1)**2*(x + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -866 + 865.7. Which is the third smallest value?  (a) -9  (b) -2\/41  (c) 0.3  (d) 3  (e) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**3 + 53*s**2 + 496*s - 11. Determine j(-13).\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.1 and -38086.\nAnswer: -38085.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 457497 to the power of 1\/2, to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p - 3*p + 2*p)*(-1 + 3*p - 1 - 5*p)*(3*p - 4*p**3 - 3*p) - 37*p**4 + 373 - 373 - 3*p**5.\nAnswer: -11*p**5 - 45*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes before 3:02 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.19 * -5.349.\nAnswer: -1.01631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -2*c**3 - 3*c**2 + 3*c + 6. Suppose 2*z + 3*f = 1, z = 6*z + 4*f + 8. What are the prime factors of q(z)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3157174 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 733*z**2 - 2405*z**2 + 1 + 796*z**2 + 768*z**2 + 6*z to the form u*z + y + q*z**2 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.2 - -0.2. Let s be (2 - 1)\/((-9)\/5 - -2). Let b be 450\/(-48) + s - -4. What is the closest to h in 0.1, b, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 8) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**2 + 2*p - 6. Let h be (-2)\/(-4) + 26\/(-4) - -8. Calculate l(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 3*p + 23. Calculate x(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 39 - 39.078. Let r = s - -0.178. Let v = -1 - -3. Which is the third smallest value?  (a) -2  (b) v  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (207\/6 + 12)*(-394)\/(-591)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.13 and -64.\nAnswer: -8.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0.23, 0.2, -2\/11, -3.1 in ascending order.\nAnswer: -3.1, -2, -2\/11, 0.2, 0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -90844, -99355, -107866?\n\"Answer: -8511*l - 82333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -51*v**2 - 42*v**2 + v + 4*v**2 - 114*v**2 as z + w*v + s*v**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 92787 is divided by 2292?\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -9 - 0 - (-2 + -27) - (2 + -5)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16251351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 440 and 11110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1862788 and 388?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8656*c - 14449*c - 9589*c - 5568*c.\nAnswer: -20950*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 189*y + 11. Let k(v) = 309*v + 21. Determine -4*k(r) + 7*s(r).\nAnswer: 87*r - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (21\/63)\/((-1)\/2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2885771 divided by -7?\nAnswer: 412253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -58.38 - 0.37. Round l to zero decimal places.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 285205.\nAnswer: 5, 57041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 23*v + 34. Suppose -3 - 7 = -d. Is 22 a factor of a(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 1)*(2*q - 2*q - 2*q**2)*(1 - 4 + 1).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 301.2737mm?\nAnswer: 30.12737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12.7*-1.\nAnswer: 12.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 16784902 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 19\/3?  (a) -5  (b) -3  (c) 0  (d) 40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uyuyjjuy.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g - 8 - 11*g**2 - 4*g**2 + 28*g**2. Let f be m(-4). Suppose f = 11*z - 7*z. What are the prime factors of z?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 8, 45, 162, 401, 804?\n\"Answer: 7*c**3 - 2*c**2 - 6*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 79 divide 134072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 20992 - 20940 + 5*l - l. What is w(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (33516\/(-1029))\/(33\/((-231)\/(-2))).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -332*f + 2013. Let l be g(6). Solve -5*x - 45 = -5*d, 0 = 2*d + 2*x + 23 - l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1\/(-3))\/(2\/(-12)). Suppose -3*d - 10 = g*d. Is -2 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -v*w**4 - v*w**2 - 2*v - 52*w**3 + 8*w**2 + 2855*w wrt w.\nAnswer: -12*v*w**2 - 2*v - 312*w + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 24860 and 9880.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 377872097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*w - 40*w - 1645*w**2 - 42*w - 38*w + 189*w - 34*w.\nAnswer: -1645*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.2 - -1.2. Let q = -0.3 - 0. What is the closest to d in q, 4\/9, 1\/3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 281, 279, 291, 323, 381, 471, 599, 771?\n\"Answer: x**3 + x**2 - 12*x + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**2 + 3*p + 7. Let x be m(4). Suppose x*s + 469 = 4*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/53, -2\/19, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -29290 + 31163. What is the remainder when f is divided by 207?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 652*d**2*n**2*o**2 + 831*d**2*o**2 wrt n?\nAnswer: 1304*d**2*n*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 + -1 + 0*(-1)\/3. Solve 2*k = o + 6 - w, 2*o = -3*k + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the third derivative of r**4\/24 + 4*r**3\/3 + 42*r**2 - r. Suppose -3*q + 2*c - 4 = 0, 4*q - 2*c = -c - 2. Suppose 4 = -q*s - s. Determine h(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 10, 0.1, -1\/11, -0.2, -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-18)\/(-3) - 35\/315*45\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:13 PM and 11:50 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n + 3*n - 76. Calculate the greatest common factor of 19 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 2 = -2*v - j, -13 = 3*v + 5*j. Suppose 5*x = x + v. Is 1 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 142, 178, 214?\n\"Answer: 36*w + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -41*b - 2. Let t be y(-2). Suppose 4*m - 14 = 3*u - 6*u, -3*u - m + 26 = 0. Calculate the highest common divisor of t and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the third derivative of -c**5\/60 + 3*c**4\/8 - c**3 - 93*c**2. Suppose -20 = -10*d + 5*d. Suppose -17 - 11 = -d*z. Calculate q(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 230 - 3534*k**3 + 1776*k**3 + 2*k + 64*k**2 + 1751*k**3 - 59 wrt k?\nAnswer: -21*k**2 + 128*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve q + 3*b - 14 + 8 = 0, b - 6 = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1843 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and 6.6.\nAnswer: -26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -51 - -51. Solve v = 1 - q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 4 + (-5)\/(90\/1) and 769\/(-60) - (-6)\/15.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -21277.9 - -21278. Sort 10.5, f, 1 in descending order.\nAnswer: 10.5, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v**2 - 3*v**2 - v**2 + 2*v)*((4 - 4 + 2*v**2)*(-3*v + v + 0*v) + 5*v**3 + 13*v**3 - v**3).\nAnswer: -26*v**5 + 26*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**2\/17 + 10016*n\/17 + 159744\/17.\nAnswer: 2*(n + 16)*(n + 4992)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the third derivative of s**4\/12 - s**3\/2 + 4*s**2. Let w be j(3). Suppose 0 = 5*r - w*r + 18. Which is smaller: -8 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in one tenth of a second?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6873.\nAnswer: 3, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o. Let r(a) = 140*a**2. Give r(x(n)).\nAnswer: 140*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 4*18\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 9103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -13, -3, -1, -12, -4 in ascending order.\nAnswer: -13, -12, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*(1\/(-2))\/((-3)\/(-6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -91*k - 1. Let p be m(-1). Suppose 0 = 2*g + 3*g + c - p, 2*g = -c + 33. Let f = 32 - g. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 161507 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -54*c. Let x be ((-3)\/12*-2)\/(1\/10). Let r(y) = 17*y - 9*y - x*y - 5*y. What is r(b(n))?\nAnswer: 108*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 + -1. Let l be 3\/(-4)*-4 + (5 - 13). Put f, l, 2 in increasing order.\nAnswer: l, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**3 + 14*i**2 + i - 14. Let y be c(14). Solve y*k + 4*k = 0, -2*q = 5*k - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h - 15 = -3*k, 5*h = 4*h - 2*k + 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 + -103638?\nAnswer: -103637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4, 12, 32, 70, 132, 224, 352?\nAnswer: 522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 1036*s + 1515. List the prime factors of r(29).\nAnswer: 11, 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 9639*z + 188. What is the ten thousands digit of w(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 + -3.7. Let v = 1340\/3157 - 2\/9471. Let n = v + -12\/11. What is the biggest value in t, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - h - 5 = 0, -3*o = -4*h + 8 - 13. Factor 1\/3*i**4 + 0 + 0*i - 2\/3*i**2 - 1\/3*i**o.\nAnswer: i**2*(i - 2)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 511 + -353. Let l = k + -131. Calculate the remainder when 53 is divided by l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 249 = 4*g - 5*x, 5*g + 3*x - 270 = x. Let l be (-8)\/g + (-1)\/(-7). Suppose -5*s + 5*u = 10, -5*u - 6 + 31 = l. Solve 2*p - p + 3 = -2*w, s*p = 15 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 173.3 + -173.4. Suppose 0 = 4*i + 3 + 9. Which is the second biggest value?  (a) j  (b) -14\/15  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 5 = -b. Suppose -6 = -i + 2*l + 7, -b*l - 7 = i. Solve 0 = k + i*k - 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1228\/1103 != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of -225695 and -5.\nAnswer: 1128475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -362 + 366. Solve -3*m = -2*f + 11 - c, 0 = -f + 2*m + 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1111001011001 - 101?\nAnswer: -1111001011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 300.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((10\/(-2))\/(-5))\/(1 + 0). What is the units digit of (-39396)\/(-48) - (w - 5\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6*l**3 - 6*l**2 + 6*l**2 - 22 wrt l.\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2403773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -0*w - 6. Let s(c) = 2 - 5 + 2*c - 1. Let i be s(3). Solve 2*z + i = -w for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 - (46\/(-10) + (-14)\/35). Solve v = i*v - 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2 - (3 - -1)) + 8. Solve a*d - c + 9 = 0, 3*d = 4*d + c + 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = 4*y - 26, -6*y = -4*y + 5*h - 18. Calculate the smallest common multiple of 9 and y\/(-4) + 2 - -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*j**5\/5 + 14*j**4\/5 - 58*j**3\/5 - 78*j**2\/5 - 16*j\/5 + 8\/5 = 0.\nAnswer: -1, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1469839000 to the nearest integer?\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(240) + (sqrt(240) - sqrt(240)*-1) - sqrt(15))*3)\/(sqrt(147) - 2*sqrt(147)*1).\nAnswer: -99*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 2 = -1. What is the derivative of 19*h**3 + 5 - 19*h**s - 4*h**4 wrt h?\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(((3*sqrt(90))\/sqrt(3))\/(sqrt(66)\/sqrt(275))*5 + 2)**2.\nAnswer: 600*sqrt(5) + 56258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 964697.\nAnswer: 964697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, 5, -5, 12, 1816, -14, -2 in ascending order.\nAnswer: -14, -8, -5, -2, 5, 12, 1816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 27853116 and 716.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Is -654 > 58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6 + -3064150951.\nAnswer: -3064150945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 18\/(5\/(20\/8))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - -0.8. Let l = -3 - -7. Let o = -4 + l. What is the nearest to o in -5, v, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 641400413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/(((-8)\/(-18))\/(-2)*-6). Let v(i) = i**3 - 3*i**2 - i - 1. Determine v(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -32692, 0.2, 1, 9?\nAnswer: -32692","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 200145222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 376332701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the second derivative of g**7\/33 + 13*g**6\/33 + 3*g**5\/2 + 175*g**4\/66 + 80*g**3\/33 + 12*g**2\/11 + g + 227. Find n such that w(n) = 0.\nAnswer: -6, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**5\/7 - 19*y**4 + 132*y**3\/7.\nAnswer: y**3*(y - 132)*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**3 - 67*h**2 - 661*h - 38. Give w(-55).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the second derivative of n**3\/3 - 2*n - 15. Let m(t) = 1. Let b(s) = -s - 3. Let u(h) = b(h) + 3*m(h). Give u(g(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 279985 + -279929. Let h = -564 + 1488. What is the greatest common factor of g and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 952*h - 83*h - 91*h - 7156 - 8404 = 0 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t**2\/13 - 272*t\/13 - 270\/13 = 0 for t.\nAnswer: -135, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8634, 17538, 26454, 35388, 44346?\nAnswer: 53334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 291, 283, 275, 267, 259, 251?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13663181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 86502439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*g**2 + 16*g**2 + 15*g**2 - 15*g**3 + 17*g**3.\nAnswer: 2*g**3 + 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 66 - 27. Let w = v - 38. Suppose -5*k + w + 19 = 0. Calculate the lowest common multiple of k and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -65*q**2 - 110. Suppose 14*d + 56 - 96 = -68. Let y(u) = -3*u**2 - 5. Calculate d*z(n) + 45*y(n).\nAnswer: -5*n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 25727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 124*w**3 + 125*w**3 + 31*w - 56*w + 157*w**3 - 405*w**3 + 25*w.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**0)**45*(j*j*j\/(j*j*j\/(j\/(j*j**(-2\/5)*j))*j*j)*j*j)\/j**(-2\/13) assuming j is positive.\nAnswer: j**(2896\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*-2*sqrt(3) - (-2 + (sqrt(9)\/sqrt(3))**2)) + (sqrt(12) - (sqrt(12) + sqrt(1200) + -1)).\nAnswer: -26*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -0.5, 4, 6, 0.07, -1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 125034 (base 6) in base 10?\nAnswer: 11470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/13 smaller than 4\/69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 135 = 5*m, -2*m + 12*x = 8*x - 36. Suppose -157*n - m = -161*n. Solve -5*z = -15, n*s + 3*z = 3*s + 15 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - -9) + (-10 - -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-109545)\/((-10)\/2) - 7*(-10)\/(-35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 22 and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 16339553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 25, -19, -12\/37 in descending order.\nAnswer: 25, -12\/37, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-1\/4)\/f)**(3\/8)\/(f**(2\/3))**37 assuming f is positive.\nAnswer: f**(-2413\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.3  (b) 2\/9  (c) 3\/2  (d) 62  (e) 2.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1456 and 2870.\nAnswer: 298480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*(-3)\/54 - 465\/(-630).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 8 = -7, -v + 177 = 5*b. Suppose 3*g = 4*i - 24, 16 = 3*i + i - g. Solve 3*d + 2*u = -i*u + 37, 4*d = -4*u + b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 1009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**2 + 3*g + 8. Let p be x(6). Let y(z) = z**3 + 10*z**2 - z - 6. Let k be y(p). Solve -2*r - 2*l = -k, -l = l - 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 + 3. Suppose -y*h = 15, 0 = 3*z + 3*h - h - 23. Let m = z - 5. 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 value of 16*(-36)\/(-504)*7\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {s: 2, f: 2, k: 4, w: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 25269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2183 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 a factor of 140392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((-4*(sqrt(98) - 1*sqrt(98)) - sqrt(98))**2 - sqrt(98) - (sqrt(98)*-1*3 - sqrt(98))**2) + 0 + (sqrt(98) - (sqrt(98)*-1 + sqrt(98)))**2 + -5.\nAnswer: -1381 - 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9421036, 18842072, 28263108, 37684144, 47105180?\nAnswer: 56526216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lpxlrslllal. What is prob of sequence rla?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + 4*sqrt(99) + sqrt(99) - ((sqrt(99) - (sqrt(99) - (sqrt(99)*2 - sqrt(99)))) + -2))**2 + -1)*-2*-4*-3.\nAnswer: -38016 - 576*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 416538 - 1613419. Let r be z + (-3)\/(-6)*-2. Let p = r + 1716882. What is p rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 850001355?\nAnswer: 3, 5, 7, 101, 26717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-7))**(2\/47)\/(p*p*p**(-11))**(-31) assuming p is positive.\nAnswer: p**(-13127\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzgaazazg. What is prob of picking 3 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 151 = 5*q + 46. Suppose -4*f + 2*x = 2, -2*f + f = -x. Calculate the remainder when q is divided by 217\/28 + ((-6)\/8 - f).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that 5*q**4\/6 + 2191*q**3\/2 - 695495*q**2\/6 - 140763*q\/2 + 46629 = 0.\nAnswer: -1413, -1, 2\/5, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 2*d**2. Let t(k) = -38*k + 16. Let x be t(-3). Let j(o) = 130 + 6*o - x. What is s(j(p))?\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 171301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 213 and 322198?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 919448280.\nAnswer: 2, 3, 5, 467, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -0.011511687 + 7947\nAnswer: 7946.988488313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -220*y**4 + 4*y**3 + 5*y**2 - 40*y + 42 wrt y.\nAnswer: -5280*y + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -3*x. Let h(f) be the second derivative of -f**4\/6 + 4*f. Determine h(a(u)).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2343 - -2303?\nAnswer: 10201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-73)\/((-1095)\/6)*-3*(-4)\/6?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*d**5\/2 + 201*d**4 - 1422*d**3 + 975*d**2 + 507*d\/2 = 0. Calculate d.\nAnswer: -1\/5, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 36 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 316*k - 21840. What is p(62)?\nAnswer: -2248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 65789463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 71 + -69. What is the third derivative of 8*u**2 - 86*u**3 + 103*u**3 - 24*u**s wrt u?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(-3)*1*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vaappappppppvavppp. Give prob of sequence vava.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 371*v - 365*v = 342. Calculate the greatest common divisor of 513 and v.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*-7315.\nAnswer: 7315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.19 - 8.19. Let u = -6 - p. Let b = -0.201 - -0.001. Which is bigger: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -83265 divided by 1?\nAnswer: -83265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -914*k + 12812. Let c be b(14). Sort 0.2, c, 1, -1 in increasing order.\nAnswer: -1, 0.2, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) 1\/3  (b) -2  (c) -0.3  (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:35 PM and 10:08 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*m = -44*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - (19 + -3)) + (-31 - (-17 + -23)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a\/(a*a**(-4)\/a)*a**0*(a*a*a\/(a*a**(-2\/13))*a)\/(a**(2\/3)\/a) assuming a is positive.\nAnswer: a**(331\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2.90838 - 0.09162. Which is the smallest value?  (a) -3\/2  (b) 0.2  (c) t  (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 311 a factor of 45546108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = -4*v - 17 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 51*i. Suppose 0 = 5*x - 5*h - 23 + 138, -3*h = -6. Let a(o) = 5*o. Let m(p) = x*a(p) + 2*z(p). Let n(b) = -4*b - 6*b - b + 9*b. What is m(n(q))?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of b**2 - b*m - 648*b + 5607*m wrt b?\nAnswer: 2*b - m - 648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 312027, 312016, 312003, 311988, 311971, 311952, 311931?\n\"Answer: -b**2 - 8*b + 312036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*u + 3*u - u)*(-11*u + 19*u + 6*u)*(2 - 1 + 0) + u - u - u**2.\nAnswer: -155*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -31 + 31. Let u be (y + 0)*(-5)\/(-10). Which is smaller: 1\/21 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*h - 668 = -62*h - 94*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6\/10 - (1 - 64\/10). Suppose r*a - 36 = -0. Let j(g) = -g**2 + g. Let o(l) be the first derivative of -8*l**3\/3 + 3*l**2 - 3. Determine a*j(k) - o(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*r**3 + 32*r**2 + 16*r - 64 = 0.\nAnswer: -4\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/165 and 1\/19?\nAnswer: 3135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1916 and 230000.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22063 is divided by 4309?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 251988.8 litres?\nAnswer: 251988800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (24 + -8)*-1 + 1\/1. Let q be (-92)\/(-260) - (-3)\/a. Let l = 1\/3 + -11\/24. What is the smallest value in -3, -1, l, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 3, n: 1, s: 1, h: 1, i: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 3*b + 12. Let a be f(-3). What is the third derivative of -34*u**2 + a*u - 48*u**5 + 6*u**5 + 28*u**2 wrt u?\nAnswer: -2520*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -241 + 244. Let y = 234 - 229. Solve y*o = -v - 3, 2*v - m*o = -0*v + 7 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -103409 (base 10) to base 16\nAnswer: -193f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 8, 20, 34, 50, 68, 88, 110?\n\"Answer: d**2 + 9*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 120659103 to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 j when two letters picked without replacement from {k: 3, j: 6, b: 8}.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/(-11))\/2*(-14321)\/28642?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 111 a factor of 1046925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*h + 3*h - 2*h)*(-1 + 1 - h**2 + (3*h + h - 2*h)*(-40 + 40 - 2*h)) to the form g*h + n + j*h**3 + u*h**2 and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (114\/266)\/(1\/189). Suppose -d*w = -86*w + 430. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 85793917.\nAnswer: 11, 17, 458791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 986063 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-207)\/92 + (-2)\/(-8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1, 5, 135, -4 in descending order.\nAnswer: 135, 5, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6 and 7720437.\nAnswer: 15440874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 412452.\nAnswer: 2, 3, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 72993855 to the power of 1\/3, to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 697 + 1 - (-4 - 1).\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 4  (b) 0.341  (c) -136\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - -5) + 3 - 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeoovvbq. What is prob of sequence qvo?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6871659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 34*p**3 - 3. Let c(x) = 1767*x**3 - 155. Determine 3*c(i) - 155*w(i).\nAnswer: 31*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7144 - -14413. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5199 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 57*d + 26*d + 24*d - 14*d.\nAnswer: 93*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -29 - -29. Suppose -u + 3*u = p. Let d be 12\/(-330)*(u + 5). Sort d, 0.05, 1\/3 in increasing order.\nAnswer: d, 0.05, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 36926 or -4\/75?\nAnswer: -4\/75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.18 - -6.82. Let i = b - 7. Let x = i + 0.000007. What is x rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is y in 5*y**5 - 4165*y**4 + 805135*y**3 + 25801105*y**2 + 242101320*y + 668739600 = 0?\nAnswer: -12, -5, 431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (62\/(-8))\/((-16)\/(1024\/(-16)))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*l - 2*l + 3*l**2 + 4*l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -244 - 13.53\nAnswer: -257.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.2 - -0.2. Let n = -3.27 - -3.37. What is the nearest to n in s, -1, -1\/16?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18284 (base 9) to base 6\nAnswer: 134251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*s + 83 = -181 - 450 for s.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 15*b**2 + 7*b + 16. Let o be -13 - (-8 - (5 - (-35)\/(-5))). Let r(x) = -10*x**2 - 5*x - 11. What is o*r(u) - 5*a(u)?\nAnswer: -5*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u**2 + u. Let f(q) = -26*q**2 + 4*q. Calculate 4*c(i) - f(i).\nAnswer: 22*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bt when two letters picked without replacement from {t: 1, b: 3, a: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -151\/18305010 and -67\/225.\nAnswer: 91525050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-324)\/16*-2*2\/3. Differentiate -x*h - 55*h - 43 - 23 with respect to h.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 10, z: 3, n: 1, t: 1}. Give prob of picking 2 p.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-45)\/18 + (-846)\/(-12)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 117897*j - 30889014. What is b(262)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*r**3 - 65*r**2 - 150*r.\nAnswer: -5*r*(r + 3)*(r + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6 and 249?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g + 6*g + 15, 5*t + g = 87. Suppose 0*s - 2*s + t = 0. Let l = 114 + -51. Calculate the highest common divisor of l and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**3 + 8*q**2 - 6*q - 8. Determine x(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 3, r: 9}. Give prob of sequence rrrj.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 110 a factor of 126610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Total of 354.7 and -8.\nAnswer: 346.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 4293931091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add together -77 and 2787.\nAnswer: 2710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.9 + 3. Let g = u - -3.9. What is the third biggest value in g, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 0*p + 15 = 0. Let j be 1 + 0 + 2 + 2. Calculate the greatest common divisor of p and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 147.575 - 78.714. Let g = z - -0.139. Let f = g - 56.5. What is f rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6)\/15 - 34\/(-10). Solve -u*x = -2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 61*b**2 + b. Let r(a) = 8*a. Calculate r(g(k)).\nAnswer: 488*k**2 + 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 20  (b) 2\/41  (c) 2  (d) -1  (e) -3  (f) -0.18  (g) -8\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 5 = 5*n, 0*n - n + 14 = 2*w. Suppose 0 = -n*h - 5*y + 4627, -2*h + 2165 = -4*y - 181. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*-4*(sqrt(15)\/(sqrt(20)\/sqrt(4)) + (sqrt(3) - sqrt(33)\/sqrt(44)) + (2*sqrt(144) + sqrt(144))\/sqrt(12)).\nAnswer: 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -101101001011110 (base 2) to base 3\nAnswer: -1011201211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -16482*b + 214332. Calculate r(13).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*1*sqrt(121))\/((sqrt(44)\/sqrt(4) + sqrt(11))*-3).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.091742 rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21125 + 0.669.\nAnswer: 21125.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 399019.17 - -4.\nAnswer: 399023.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -369, -1056, -2057, -3372, -5001, -6944?\n\"Answer: -157*x**2 - 216*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 112113 - 11252?\nAnswer: 100531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -88 + 91. Suppose a*k = -4*p + 29, -p = 2*p - 4*k - 28. Solve -p = 3*c + 7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n + 1. Let m be r(1). Suppose -6*d + 829 - 277 = m. What are the prime factors of d?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/3 and -39\/30694?\nAnswer: 92082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the second derivative of -1\/6*p**3 + 0 - 67*p - 1\/20*p**5 + 1\/15*p**6 + 0*p**2 - 1\/6*p**4. What is the third derivative of o(c) wrt c?\nAnswer: 48*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ajjjjjjjaajajjaaaaa. Give prob of sequence ajaa.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = c - 4*s, c = -c + 4*s + 40. Solve c + 0 = 3*v + 2*d, -4*v = -d - 14 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 264 = -236. Solve -u*k + 2 = -13*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**2 - x - 1. Let f(m) = 3*m**3 - 8*m**2 + 9*m + 8. Calculate -3*f(s) - 24*k(s).\nAnswer: -9*s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the third derivative of -13*r**6\/60 + 9*r**5\/20 - 32*r**2. What is the third derivative of b(a) wrt a?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -35 + 58 - 2*z**2 + 6*z - 17 in the form j*z + g + f*z**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*u + 0*u - 4*u + (-2 + 2 + 2)*(-2*u - u + u) + u + 1 - 1 + (-2*u - u - u)*(-5 + 7 - 8) + 3*u - u - 3*u.\nAnswer: 19*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1766*h - 3535*h + 1621*h)*(1 - 1 - 17*h) to y*h + n + a*h**2 and give a.\nAnswer: 2516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1095*h = -1086*h - 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -206 - -205. Let p = 3 - 1. Let h = 3 - p. What is the nearest to 1 in h, -4, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7574 = w + 7582 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.3367 from -20.894.\nAnswer: -20.5573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(132)\/sqrt(3)*5 - (3*sqrt(220)\/sqrt(4))\/(sqrt(80) + sqrt(80) + sqrt(80)*2 + sqrt(80) + sqrt(80)))**2.\nAnswer: 72171\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.06*0.27.\nAnswer: 0.0162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12243 (base 5) to base 11.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:37 AM and 11:08 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 2*n**3 - 10*n**2 - 2*n + 4. Let z(d) = d**2 - 1. Calculate j(i) + 4*z(i).\nAnswer: 2*i**3 - 6*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is (33\/12 - 2) + 43285\/20 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 53 = 2*u - 3*c, -55 = -u + 2*c. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 4148094311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/8 and -7\/9641956.\nAnswer: 19283912","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.9677 + 0.0323. What is the biggest value in -5, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 19983 + -6663. What is the thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -238 + 221.1. Let j = n - -34. Let v = -17 + j. Which is the closest to v?  (a) -2  (b) 3  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes after 5:48 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -511*x + 506*x + 35. What is the remainder when 235 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7089, 7090, 7091, 7092, 7093, 7094?\nAnswer: 7095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 - (-12 - -31 - (-3 + 14)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, r: 1, p: 1}. What is prob of sequence rp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -211*g - 199*g + 386*g + 24 = 0. Which is bigger: g or 1\/20261?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1612109?\nAnswer: 83, 19423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 117287 is divided by 23421?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Sort 241, -2, -4, 2, -75, 0, 1 in decreasing order.\nAnswer: 241, 2, 1, 0, -2, -4, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.09?  (a) 0.05  (b) 0.4  (c) 5  (d) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 111*m + 148 + 518 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -74*d**3 + 2*d**2 - 316.\nAnswer: -222*d**2 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -3*z**3 - z**2 - z - 2. Let w(g) = 4*g**3 + g**2 + g + 3. Let k(q) = 3*t(q) + 2*w(q). Let p(u) = -3*u**3 - 5*u**2 - 7*u + 2. Determine 5*k(v) - p(v).\nAnswer: -2*v**3 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 325 and 425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 45060 or 2542.2?\nAnswer: 2542.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 57 and 24681.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -51*k**3*z**3 - 9*k**3 - k**2*z**3 + 95*k*z**3 - 4*z**3 wrt k?\nAnswer: -306*k*z**3 - 54*k - 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 4*x + 2*n - 206 = 0, -5*x - 4*n - 225 = 0. Let o = -79 - x. Let h be 6\/o + 378\/15. What is the highest common divisor of h and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (3 + 0 + 4 - 10)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -16\/9?  (a) 0.053  (b) -2\/3  (c) 3\/2  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 426551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 115 divided by 57.\nAnswer: 115\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8297\/3 + 2397860\/867. Let c = u - -22795\/1156. Let l = 35 - 57. Calculate the common denominator of l and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 7*r**3 - 9*r - 1. Let a be 2 - 2\/(-4)*-22. Let f(i) = 4*i**3 - 4*i - 1. Let t(p) = a*f(p) + 4*y(p). Differentiate t(m) with respect to m.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 21361832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 14 - (0 - -1)*4. What is the highest common factor of 90 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 361 divide 84677205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 23550529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20079, -80038, -179969, -319872, -499747, -719594, -979413?\nAnswer: -1279204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = -4*x - 2483, 0 = -2*c - 2*x - x - 996. Is 20 a factor of (-28281)\/c - (13\/(-15) - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:01 AM and 11:26 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-160)\/(-64))\/(3\/2 - 1). Suppose -2*c = -3*l - 5*c + 18, k*l - 30 = c. Solve l*b = 2*b - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b - 3. Let u be r(5). Suppose u*s + 4*m = 8, 0 = -s + 5*m - 2 + 6. Suppose 0*c + 5*i = -c + 9, 5*c + s*i = 45. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 20 = 0, -4*p + 4*n + 72 + 140 = 0. Suppose 0 = -4*w - 21 + p. Let u = 28 - w. What is the highest common factor of 57 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jgz when three letters picked without replacement from fpjngzf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12, -3, -14, -9, 24, 97, 222, 411?\nAnswer: 676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 732*o - 775*o - 8*o**2 + 1 - 3 + 54*o**2.\nAnswer: 46*o**2 - 43*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the third derivative of -a**4\/24 - a**2 + 455. Let t(b) be the third derivative of 11*b**4\/6 + 2*b**2. Calculate w(t(x)).\nAnswer: -44*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 9) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 8 = h - 0*p, 0 = h - 2*p + 11. Let y be 1*(-2 + h\/(-2)). Let s = 0.1265 + 2.8735. Which is the closest to -3?  (a) s  (b) y  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23156 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -553.4 + 553. Which is the nearest to -4?  (a) q  (b) 0.4  (c) -4  (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 126 + -73. Calculate the remainder when 104 is divided by q.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 14 = 89. Calculate the remainder when b is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -912 - -928. Let y be (-2)\/6 + 49\/3. Solve -l = -h + 4*l - y, -5*h = -l - v for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) 39  (b) 3  (c) 0.0483  (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85*f = -58 - 112. Let m = 6 + -6. Let o = 0.3 - m. What is the second smallest value in f, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 2*g**2 - 41*g + 44. Determine n(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the second derivative of -3 - 6845\/2*v**2 - 5\/12*v**4 + 185\/3*v**3 + 18*v. Find j such that q(j) = 0.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1667*0.05.\nAnswer: 83.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4.3 + 5.1. Which is the nearest to 1\/2?  (a) p  (b) 4  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-5))\/((-30)\/(-330))*(-70)\/14?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-42)\/(-105))\/(2\/(-40)*1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 328533*w**4 + 3*w**3 - 5*w**2 + 5729156*w wrt w?\nAnswer: 3942396*w**2 + 18*w - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 939?\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -44*u - 4*u**4 + 3*u**2 + 11*u**3 - 2 - 10*u**3 + 105*u - 62*u to the form o + k*u**3 + x*u**2 + t*u + r*u**4 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -250 by 2.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add -2.55 and -4927.\nAnswer: -4929.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 4*g**3 - 11*g - 11. Let y(f) = -f**3 + 3*f + 3. Suppose 7 - 37 = 5*m. Let q be ((-4)\/(-6))\/(2\/141). Let c = q - 69. Determine c*y(o) + m*k(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 12*f**6 + 1585*f**5 + 9*f**4 - 184*f**2 + 4306*f wrt f?\nAnswer: 1440*f**3 + 95100*f**2 + 216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 3*q + h + 3, 0 = q - h + 1. Is (-187)\/(-2) - 6\/q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 309305810 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of 9065 and -0.0001.\nAnswer: -0.9065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 78*-94325\nAnswer: -7357350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-259)\/(-49) + 2\/(-7). Solve 4 - 11 = -3*y - z*p, -1 = p for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7387, 14718, 22045, 29368, 36687?\nAnswer: 44002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -25 + 9. Let i = b + 15. Let j(g) = 8*g**3 + 4*g**2 - 3. Let w(z) = -39*z**3 - 21*z**2 + 16. Let s(v) = -11*j(v) - 2*w(v). What is s(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 4*m**2 + 20*m. Let w = -229 - -223. Is l(w) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 43*k**3 + 12*k**2 - 2*k + 35. Let b(w) = 132*w**3 + 35*w**2 - 5*w + 97. What is 4*b(a) - 11*c(a)?\nAnswer: 55*a**3 + 8*a**2 + 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, a: 2, g: 1, d: 1}. What is prob of picking 1 n, 1 a, and 1 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 2*g**3 - 20*g**2 + 3*g - 23. Let s be d(10). Let a = -5 + s. Solve 2*w = -a*w + 3*u - 6, -5*u + 10 = -4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 11544*l + 199. Is p(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2716 is divided by (-1)\/((-6)\/(-3))*(-7)\/(14\/572).\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the first derivative of -17*u**3 - 135*u + 164. What is the first derivative of z(l) wrt l?\nAnswer: -102*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2038093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 6717*m**2. Let r(h) = 7*h**2. Give r(w(z)).\nAnswer: 315826623*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert c3c42 (base 15) to base 4.\nAnswer: 2113131203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 206425?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/39680 and 199\/208320.\nAnswer: 833280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 111*m + 140*m + 85644 = -54*m + 64599 for m.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -88 - -87.929. Let r = 0.008 + g. Is r less than or equal to -5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1261615 take away -0.28?\nAnswer: 1261615.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 2*i = 16, -j + 4*j + 5*i - 14 = 0. Let l = j - -1. Which is the closest to -0.1?  (a) 5  (b) -0.1  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11123111 (base 5) to base 16\nAnswer: -180e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 + 0. Let g be 158\/(-13) - 18\/(-117). What is the least common multiple of p and 3 - (1 + g\/3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the first derivative of c**3\/4 + 15*c**2\/2 - 63*c\/4 - 9. Let v(j) = 0. Calculate j.\nAnswer: -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 528200 and 55100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 42 and 5.26.\nAnswer: 220.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 90656, 362429, 815350, 1449413, 2264612?\nAnswer: 3260941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 351087 to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 436 - 383. Solve -23*g = w + 85 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3054882 a multiple of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3\/11  (b) -4  (c) -1\/5  (d) -544\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-72)\/20 - -4) + (-1227)\/30 and -91\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10203 (base 7) to base 4.\nAnswer: -213012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 616 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 1\/10 of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.9  (b) -3\/4  (c) -2  (d) 5  (e) 77  (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 121021210 - 11000?\nAnswer: 121010210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a - 2 - 1, 2*c + 2*a = -90. Is (c\/40)\/(2\/(-25)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -50520209*h**3*x - 2*h**2*x + 885161*h*x wrt h?\nAnswer: -303121254*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 15 - 12. Suppose 4*c - c + l = 0. Let n(j) = -j + 1. Let o(i) = -14*i + 3. Let p(a) = c*o(a) + 2*n(a). Differentiate p(t) with respect to t.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*j - 1559 + 335 = 1082 - 489 for j.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -30*v**2. Let c(m) be the first derivative of m**5\/6 - 9*m**2\/2 - 3*m - 134. Let o(q) be the second derivative of c(q). What is o(z(h))?\nAnswer: 9000*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 116*v - 123. Let y(a) = -59*a + 61. Let q = -166 + 164. Let r(s) = q*g(s) - 5*y(s). What is the derivative of r(m) wrt m?\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -4800*l. Let s(n) = -8*n. What is q(s(m))?\nAnswer: 38400*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1940 divided by -127640.\nAnswer: 97\/6382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes before 4:31 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 230*t + 7. Let u(c) = c**2 - 27*c + 84. Let s be u(24). Is d(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 333 - -998. Are 1330 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 30011601 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**3 - 7*c**2 + 8*c + 11. Let q be f(-8). Let a(d) = 17*d. Let m(i) = 6*i. Let k be 116\/36 - 4\/18. Suppose 2*u + 20 = -k*u. Give q*m(n) + u*a(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6436 (base 7) to base 4.\nAnswer: -203221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/((-4)\/(-3)))\/((-4480)\/5376*(-63)\/(-3080))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -37 + 18 + 14 + -2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**2 - 138*a + 489. Determine w(135).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -561 - -453. Let k(q) = 15*q**2 + q. What is the remainder when k(2) is divided by 4\/(-6) + 45\/s*-28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 4 = 2*g. Put g, -2, -6 in ascending order.\nAnswer: -6, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -2*b**3 - 12*b**2 = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -96*j + 7. What is the units digit of k(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 + 2. Let r = -0.4 + 1.4. Let n = r - 2. What is the nearest to n in 2\/13, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(1*((-192)\/40 + 6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 729603 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.346 + -1.654. Put -3\/11, -3, 0.3, d in descending order.\nAnswer: 0.3, -3\/11, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2331644342 a multiple of 849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*b + 27 - 9. Solve 5*x + 5 = 0, -b*x + 3*x = 3*l + 11 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 3*z**2 - 37*z + 74. Let l be b(10). Solve -l*s = w - 4, -4*w - s + 10 - 24 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 79 and 94247.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 12*y - 15. Let l be t(-17). Let r = -77 - l. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rru when three letters picked without replacement from {u: 7, r: 4}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.003499 to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 118772 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:56 PM and 3:46 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 76*q**2 - q + 1. Let d be z(1). Let j be d\/18 + (-10)\/45. Solve 0 = 3*a + 5*g - 6, -5*a - j*g + 0 = 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 575575756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -677199, -1354412, -2031639, -2708886, -3386159, -4063464?\n\"Answer: -f**3 - f**2 - 677203*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -182*v - 36*v - 278*v as t + h*v and give h.\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 50 - 35. What is the remainder when (28\/406 - 415\/(-290))*58\/3 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (v**4 - v**4 - v**4)*(5 + 3 - 2) - 3*v**4 + 5 + 1 + 2*v**4 to the form c*v**4 + s + m*v**3 + l*v + q*v**2 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1705*p - 1705*p + 991*p**2 + (0 + 2 - 6)*(p**2 - p**2 - 2*p**2) to the form x*p + b*p**2 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 4 * -1575\nAnswer: -6300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 + (139512\/60)\/((-2)\/(-30)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4.08968 + -1.70976. Let f = h - -5.8. What is f rounded to five decimal places?\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 214604056 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 90 + -89.6. Let q be (1 + 0)*(-1 - -3). Put q, f, 3 in increasing order.\nAnswer: f, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 122*q**2 - 231*q**2 + 108*q**2. Let z(i) = -i**2 - i. Let l(h) = 342*h**2 + 304*h. Let j(x) = 5*l(x) + 1520*z(x). Give j(k(a)).\nAnswer: 190*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3552890805?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**3 - 81*z**2 + 1482*z + 112. Let w be o(53). Let v be ((-12)\/(-10))\/(9\/30). Solve 14 + w = -v*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 2849, 2888, 2951, 3038, 3149?\n\"Answer: 12*l**2 + 3*l + 2834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -42*y**2 + 28 - 14 - 14 to j + d*y + q*y**2 and give q.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2 - 4)*(1 - 1 + 2*c) + 21*c + 8*c + 3*c + 4 + 27*c + 6 - 11 + 3*c + 3*c - 5*c + 2*c - 2*c - c + (4 - 2 - 4)*(-1 + 1 + 2*c).\nAnswer: 57*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*z + z - z)*(2 - 3 - 1) + (-3 + 3 + z)*(-1 + 3 - 3))*(-5 + 4 - 2).\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3*j + 1)*(5*j - 4*j + 5*j)*(-j**3 - 2*j**3 - 4*j**3).\nAnswer: 126*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*r**3 - 3*r**3 - 6*r**3.\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -646.71 + 643. Let o = 0.11 - 0. Let v = o + i. Round v to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (7\/2 + -2)*(-18)\/(-9). Let g(v) be the first derivative of 1\/2*v**4 + 0*v**3 + 0*v**2 + f*v - 2. What is the first derivative of g(z) wrt z?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-7)\/14)\/((-2)\/4). List the prime factors of -2*(-1 + -1 + a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (20\/28*-1)\/(42\/(-294)). Sort 24, 8, -5, t, 3 in descending order.\nAnswer: 24, 8, t, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 38\/(2 - (-441)\/(-224)). Let v = a - 235. What are the prime factors of v?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1.94924 and -1799641386.\nAnswer: -1799641387.94924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 107*j - 3. Let r = -5 - -7. Is d(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*v + 133 = -0*v. Solve f - 1 = -2*a, 4*f - 37 = 5*a - v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1109656*0.8\nAnswer: 887724.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 83 + -14 + (-1192076)\/17278.\nAnswer: 1\/163","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve o - 16 = 5*o, -5*o = 5*s + 15 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a*((a\/(a*a*a*a**(2\/3)))\/a)\/a*a*a*a*a*(a**(-2\/13)*a)\/a*(a\/(a*a**1*a)*a)\/a**(-1)*((a*a*a**(-3))\/a*a**4*a*a)**(-38) assuming a is positive.\nAnswer: a**(-5921\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2075)\/350*(-305 + 291).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 600043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 239.6295 millennia?\nAnswer: 239629.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-38)\/46)\/(-5 - -3 - -22). Let x = 24477\/3220 - y. Calculate the common denominator of x and -103\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.15*4\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 12\/(-21)*14\/(-4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 77915 is divided by 15566.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.23 and 2.59618?\nAnswer: 2.36618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 236 and 118.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.246 - 1.246. Let y = -65 - -65.9. Which is the nearest to i?  (a) y  (b) 3  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/13  (b) -3  (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**3 + 0*w**3 + w**2 - 4*w**2 - 2 + 4*w. Let p(g) = -29*g - 27*g**2 - 2*g**3 - 19*g + 34*g - 17. Let o be p(-13). Calculate i(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26259323 to the power of 1\/2, to the nearest integer?\nAnswer: 5124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.49 - 0.434. Let x = r + 0.144. What is the biggest value in -3, 0.4, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-3 + sqrt(2) + sqrt(8) - (sqrt(8) - sqrt(128))**2)*-3*-5.\nAnswer: -225*sqrt(2) + 5625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -92*t**2*w - 81775*t**2 + 6*w**2 - 5*w wrt w.\nAnswer: -92*t**2 + 12*w - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -151\/24 and 7\/1611?\nAnswer: 12888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 3, h: 5, k: 4}. What is prob of sequence rkkk?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 9 - 3 = -2*g, -9 = -g - d. Suppose 368 = 5*y + r, 2*r = 2*y - g*y + 366. Suppose 26 + y = 5*a. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -17\/38 or -1?\nAnswer: -17\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five halves of a hour in minutes?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 18649607 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**2 + 5*t + 2. Let i be v(-4). Let a(s) = -s**2 - 6*s - 3. Let k be a(i). Suppose 0 = -k*m - 1 - 4. Is 2\/27 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10615, 2, 16, 1, 5 in descending order.\nAnswer: 16, 5, 2, 1, -10615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 23 and 529.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + 0 + 31 + -12 + -5.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes before 8:02 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 + 18. What is the common denominator of -73\/28 and ((-34)\/10)\/((-18)\/h)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20808372 divided by -533548.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -9496+-7\nAnswer: -9503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are 6\/131 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7*4\/(-84))\/((33\/72)\/11).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -2682821*r**2. Let s(o) = -5*o. What is i(s(w))?\nAnswer: -67070525*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.53 - -6650195946703.\nAnswer: 6650195946702.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, -1, -103.\nAnswer: -103, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:40 PM and 5:18 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {i: 8, n: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 440 by -20.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9858323 is divided by 4929143.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 39681*t**5 + 39*t - 2863 wrt t?\nAnswer: 793620*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 5, e: 8}. What is prob of sequence ooe?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.9665 to 2 decimal places.\nAnswer: 2.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 16562489399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that 4*q**5 + 128*q**4 + 332*q**3 - 464*q**2 = 0.\nAnswer: -29, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 146*p**3 - 54*p + 1.\nAnswer: 876*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*(((-95)\/380)\/(2\/206) - -14)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*d = 21*d - 1299787 - 1760704. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*s**2 + 66*s**2 - 21*s**2 - 26*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.134*-1985900\nAnswer: -266110.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 321958 is divided by 2535.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 134*i**3 - 49*i**3 - 97*i**3.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 10 + -8 + 2\/(-2). Which is smaller: 12 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -2*c + 2*n + 38, 4*c - 5*n - 41 = 0. Suppose 4*v = c*v. Suppose 3*f - 1 - 14 = v. Solve 7*q - 40 = 5*m + 2*q, 3*m = -f*q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -20 - -15. Let h be 1 + u - (-21)\/3. Let z(t) = -2*t**2 - 8*t + 1. Let m be z(-4). Solve h = -w - m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 169344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 781364?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -1996 to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*u = -2*j - 26*u - 6, 3*u = -3*j + 21 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 48298 - 16856020\/349. Is -1 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*u + 2392 = -u. Let p = -102 - u. Which is the second biggest value?  (a) 1\/3  (b) p  (c) 0.5  (d) -5.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - 4*i + 14 + 6, -2*a + 2 = 2*i. Let j be a + (-10)\/(-5) + 4. Solve -4*z - 2*p = p + 13, 5*z - 7 = j*p for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60*a - 36*a - 4*n = 22*a - 40, -2*a = -5*n + 43 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 150 and 315?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**2 - 7*w - 5. Let b be o(8). Suppose -20 = -b*h - 2*h. Suppose f + 20 = h*d + 4, 0 = -d - 5*f + 25. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -2*n + 3. What are the prime factors of -2 - -52 - (0 - n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 minutes before 6:08 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(-1))**9*u**(-1)*u*u**(3\/4))\/(((u**(-4\/7)\/u)\/u)\/u**(-2\/3))**(2\/33) assuming u is positive.\nAnswer: u**(2399\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 51800 to the nearest 1000.\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1, -22, -123, -344, -727, -1314?\n\"Answer: -7*f**3 + 3*f**2 + 17*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5077 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 69 - 54. Solve n + 3*n = 2*o - 28, b = -3*n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2612, 899, -1956, -5953?\nAnswer: -11092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the second derivative of -5*c**4\/6 + c**3\/3 - c**2 - 268*c. Suppose 3*z = -3*w + 15, 0*w - 5*w = 3*z - 21. Calculate a(z).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*s - 157*s = 4168 - 768 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2232254342 - -54?\nAnswer: 2232254440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*r**4*z + 18755627*r**4 - 2*r**2 + 2564589*r*z wrt r?\nAnswer: -48*r*z + 450135048*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-469)\/(-84) - 7)*-15 and -51\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30097 equal to 842687\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 8*n - 1. Suppose 0 = -42*f - 6 - 162. Calculate g(f).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(-11)*((-5)\/(-3) - 75\/(-225)). Let f = 1 + -5\/4. What is the second smallest value in f, k, -9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jjm when three letters picked without replacement from urumwrjuwrrjuwuw.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -4  (b) -5  (c) 170  (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in twenty-one fifths of a hour?\nAnswer: 15120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9855.8 + 9855.79955129. What is r rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (0 - 2) - (19 + -23).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64410 = -o + 23590. What is o rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -5*c + 7, -o + 3*c - 3 = 2*o. Suppose o*w - 843699 + 5443699 = 0. What is w rounded to the nearest 100000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((63\/140)\/1)\/(78\/4160*-10).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3*57\/(-9) - (2 + -3). Calculate the highest common factor of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 59165941 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.889 and 1145.\nAnswer: 1145.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.2 + -3.6. Let p = l + 4. Let n = 0.04 + 0.56. Put n, -0.5, p in increasing order.\nAnswer: -0.5, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 266, -3\/10, -83, 1\/3, 5?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from ttttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from lppralrllt.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -196 + 201. Let c = -28\/65 + 3\/13. What is the nearest to -2\/3 in i, 2\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, n: 1, t: 1}. Give prob of sequence nr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 549 + -218. List the prime factors of n.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -1 - 4*x + 4*x - 11*x**2. Suppose 2*b - 3*y + 4*y - 3 = 0, 3*y + 1 = 4*b. Calculate h(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-53)\/265*8\/(-1).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -357 + 357. Let w = -5 - -3. Let x be -1 + (-20)\/(-6) + w. What is the nearest to 1\/2 in g, -0.3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9 + (-1)\/((-670)\/(-96) + -7) and 266.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 3*p**3 + 2*p**2 + 3*p + 3. Suppose 36*n - 60 = 16*n. Calculate the remainder when k(n) is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 191 + -8. Let m = w - 96. Calculate the greatest common divisor of 29 and m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/i**(-3\/4))**(-1\/3))**2)**(-1\/17) assuming i is positive.\nAnswer: i**(7\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s**3\/4 - s = 0. What is s?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o + 8*o - 40 = 0. Suppose 6*k - 2*k - r = 96, -120 = -o*k - 5*r. Solve 0 = -3*u - 2*w - 13, -5*u + 0*u - w - k = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 150 and 650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((2*sqrt(228)*1 - sqrt(228))\/sqrt(6))\/(sqrt(8)\/sqrt(4)*-3 - (-1*sqrt(18))\/sqrt(9)).\nAnswer: -sqrt(19)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 4 = 4*v. Suppose -4*h - 16 = -3*k - k, -3*k + v*h + 7 = 0. Let y = 0.3 - 3.3. What is the nearest to k in 4, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 10*p**2 - 2*p - 24. Let n(a) = -a**3 - 39*a**2 + 6*a + 98. Let c(d) = -2*n(d) - 9*o(d). Factor c(q).\nAnswer: 2*(q - 5)*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -1  (b) -5  (c) 4.3  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(-5) - 0 - 18\/5. Let b be -400001 - (a + 1)\/3. Round b to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -22 and 0.1348654.\nAnswer: -2.9670388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, 5, 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2109 + 3054. Calculate the greatest common divisor of 35 and l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -65.02 - -65. Let g = 21\/65 - -1\/13. Suppose -x + 6 = 11. Sort g, r, x.\nAnswer: x, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r = -4*r + 8. Suppose 27 = 5*l + r. Suppose 0 = l*o - 258 - 157. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2168847.01647 - -2169211. Let h = v + -364. Round h to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -64, -61, -56, -49?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 113709187\/26555 - 402123\/94. Let q = 12\/565 - i. Calculate the common denominator of q and -151\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 41*g + 251. Let f be j(-6). Sort -7, f, -4, -3, 4 in decreasing order.\nAnswer: f, 4, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15019 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:23 PM and 10:27 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cxcxxx. What is prob of sequence cc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from shjvjscjjcjqs. Give prob of picking 1 h, 2 s, and 1 v.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -50 >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*2\/(-54)*-2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*t**3 + 2*t**2 - 2*t**2 + (-t**2 + 2*t**2 + 0*t**2)*(-2*t - 4*t + 3*t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 21 and 15402093?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 672 minutes before 4:35 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -2529964021122 - -209\nAnswer: -2529964020913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1340, 1501, 1924, 2735, 4060?\n\"Answer: 21*n**3 + 5*n**2 - n + 1315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2548532.\nAnswer: 2, 7, 91019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 255611 is divided by 31927?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-5)\/g**6)**(-28) assuming g is positive.\nAnswer: g**308","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00022789938 rounded to 6 dps?\nAnswer: -0.000228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -123*d**2 + 484*d**2 - 131*d**2 - 229*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -584 - -3?\nAnswer: -581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the third derivative of -q**7\/105 + 7*q**4\/8 + 19*q**2. What is the second derivative of p(l) wrt l?\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -717960 + 717963. What is b in -1\/5*b**t + 0 + 16\/5*b**2 + 17\/5*b = 0?\nAnswer: -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1ea5 (base 15) in base 12?\nAnswer: 3a48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1707 (base 10) in base 6?\nAnswer: -11523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(7\/(63\/27)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**2\/5 - 27*m\/5 - 28\/5.\nAnswer: (m - 28)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 2*a + 10, 7*l - 2*l + 10 = -5*a. Suppose -l*t = -3*t. Let w(z) = -z**3 - z + 7. Let f be w(t). Solve -3 - 1 = -4*o + 4*g, 0 = 4*o - 3*g - f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/11 and 14\/505.\nAnswer: 5555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -4429, -9124, -13819, -18514, -23209?\n\"Answer: -4695*l + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.53315 rounded to 2 dps?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 16633 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 222*b + 1127. Calculate g(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wzwa when four letters picked without replacement from zcwaaczw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10809 is divided by 1675.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -128 + 0*c**2 - 7*c**2 + 44 + 39 + 49. Let y(f) = 7*f**2 - 3. What is -4*j(k) - 5*y(k)?\nAnswer: -7*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -302*y**3 - 34*y**2 + 304*y**3 + 33*y**2 - 350 - 7*y + 2*y**4 + 10*y as a*y + s + t*y**3 + i*y**4 + o*y**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 16*t**3 - t**2 + 1. Let g be h(-1). What is the units digit of (2\/6)\/(g\/(-144))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the second derivative of -4*p - 4\/39*p**4 + 4\/39*p**3 - 1\/195*p**6 + 0*p**2 + 0 + 1\/26*p**5. Solve k(a) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -239*p + 29*p**5 + 13*p**2 + 8*p**2 - 31*p**5 - 440*p wrt p?\nAnswer: -40*p**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -72*h**2 + 106*h + 78. Determine d(0).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 94*b - 561. Determine y(7).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**2 - 128*z - 2104. Calculate k(-14).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15147652?\nAnswer: 2, 13, 37, 7873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 1576 divide 297904623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Are 1858900\/1609 and 1156 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.06 + -0.06. Let q = j + 4. Let k = 0.05 - 2.05. Which is the third biggest value?  (a) 2\/3  (b) q  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence emm when three letters picked without replacement from {x: 1, u: 2, m: 11, e: 1}?\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 324670462 divided by 2.\nAnswer: 162335231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -5*n - 299, -3*y + 3*n = -7*y - 384. Is y\/(-2)*(-2)\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*y**5\/9 - 3140*y**4\/9 - 446212*y**3\/9 + 3263684*y**2\/9 - 636464*y\/3 - 624016 = 0. Calculate y.\nAnswer: -129, -1, 2, 6, 907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 398449905 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(5)*4 + sqrt(5) - sqrt(5))*-3)**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q**4\/7 - 3561381*q**3\/7 + 21368262*q**2\/7 - 42736508*q\/7 + 28491000\/7 = 0. Calculate q.\nAnswer: 2, 3561375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eggeeeeeeggg. What is prob of sequence eg?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*p - 6 + 6)*(27 + 60 - 38*p - 39 + 25 + 0) in the form n*p + b + y*p**2 and give n.\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20 + 4 + 12)*(0*j**2 + 3*j**2 + 0*j**2).\nAnswer: 108*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -19139, -2\/9, 7\/2 in descending order.\nAnswer: 7\/2, -2\/9, -19139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*v**3 + 101414 + 101424 - 304260 + 101422.\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes after 8:46 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jffjff?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/42 and 41\/108?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4770 divided by 10.\nAnswer: -477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -0.142084 * -6\nAnswer: 0.852504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(-1)*2\/(-8) - 125\/(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*p - 950 + 135 = 301 for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3312256840?\nAnswer: 2, 5, 82806421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-3) - (-16720)\/37944. Let b = -2\/527 - f. Factor b*u**2 + 2\/3*u**3 - 4\/9 + 2\/9*u**4 - 2\/3*u.\nAnswer: 2*(u - 1)*(u + 1)**2*(u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 679622814 and 58331?\nAnswer: 8333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 612070 is divided by 18533.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 610844 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2393 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**2. Let k(o) = -5*o + 6. Let a = 10 + 5. Let d = 10 - a. Let j(c) = -4*c + 5. Let u(z) = d*k(z) + 6*j(z). What is x(u(n))?\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**3 - 10*s**2 + 19*s - 22. Let p be g(8). Suppose -p*x + d + 2 = -x, -5*x = 2*d - 3. Which is greater: x or 3\/188?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11184 = 11180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.36 + 0.06. Let a be 70\/22 + 12\/(-66). Let b = -11\/4 + a. Is b at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**3 + 8*t**2 + 4*t + 10. Let i = -27 - -22. Is b(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-39349)\/275443)\/((-9)\/174*2\/(-21))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (342\/513)\/(((-5)\/((-45)\/6))\/(-2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = 51 + 39. Let b(m) = -2*m**2 - 9*m + 9. Let o(d) = -d + 1. Determine n*o(f) - 2*b(f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -66 + ((20 + (-4112)\/208)*13 - 17).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1290 is divided by 1231?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.5 and 352306.\nAnswer: -176153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*k = -15*k + 102. Suppose 92 = -4*w + 7*w + 2*r, 5*w - 3*r - 185 = 0. Calculate the greatest common divisor of w and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-119)\/(-357)*12\/22*33?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-4)*j**(2\/3)*(j*j**(-1\/8)\/j)\/j**(3\/7))**(-3\/10) assuming j is positive.\nAnswer: j**(653\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - 2 - (-24 + (27 - 20))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1634 is divided by 93?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d**2 + 2*d**3 + 2*d**2)*(-47*d - 11*d**2 + 47*d).\nAnswer: -22*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.1 - 0.1. Let m = 0.283 - 0.2672. Let l = 0.0158 - m. Which is the closest to 0.2?  (a) q  (b) 6  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (19\/(-9) + 2)*648\/(-1836).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 5789 and 0.2052117.\nAnswer: 5789.2052117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 278 - 135. Let d = 141.97 - v. What is d rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -2*n + 4*n. Solve 5*v + 14 = -4*d, -n*v - 2*d = -v + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -23552762 - -0.06\nAnswer: -23552761.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -59043052 divided by 5.\nAnswer: -59043052\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**2 + 8*q + 1. Let d be (10\/8)\/(3\/(-24)). Let b be -18*(-2 + d\/(-6)). Is j(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**3 - 4*i**2 - 4*i - 6. Determine h(-5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -62 + 272. What is the remainder when r is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3364201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 2 m when three letters picked without replacement from {c: 2, m: 2, o: 5, t: 4}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**2 + w + w**3 - w**3 - 2*w**3 + 1. Let k be q(-1). Let j = 167 + -164. Solve 0*s = -j*s - k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 804989, 804979, 804969, 804959, 804949?\nAnswer: 804939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.0737 - -4.9057. Round c to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 3*y**2 + 6*y - 44. Calculate the least common multiple of 9 and z(-16).\nAnswer: 5652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes after 5:26 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -24292, -24296, -24298, -24298, -24296?\nAnswer: -24292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/16920 and 157\/3666.\nAnswer: 219960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**2 + q + 2. Let w(c) = -8*c**2 + 2*c + 9553. Let o(m) = -3*g(m) + w(m). Is o(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/4, -4, 2, 4037.9?\nAnswer: 4037.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 136341.\nAnswer: 3, 15149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 8404.013 millilitres?\nAnswer: 8.404013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 75 = -48. Suppose 9*p - t = -0*p. Which is the second smallest value?  (a) -2\/9  (b) 0.5  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -131620 to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9841 - 9845 + 34*z**3 - 10*z**2 - 189*z**3 to the form v*z**2 + w*z + d*z**3 + c and give d.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 20406226 and -0.4?\nAnswer: -8162490.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tci when three letters picked without replacement from tsicninnanic?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 891 and 15?\nAnswer: 4455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 take away 686?\nAnswer: -687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -3*j + 8. Give x(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.1 or -3678046?\nAnswer: -3678046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 9*r - 12*r. Suppose -r = 3*t + 1. Let o be (4 + t + -2)*1. Let z(a) = a + 5. What is z(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*v + 3*v + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 221249 = -2290*v + 72399 for v.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 32 = -7*f. Let n be f\/56 + (2680\/14)\/2. Calculate the greatest common divisor of n and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, a: 2, f: 1, z: 1, k: 1, i: 1}. What is prob of sequence za?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Do 122 and 63384\/515 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 87500*s. Let r be m(-4). Round r to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 119 - -86. Calculate the greatest common factor of y and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**2\/4 + 535*a\/4 - 533\/2.\nAnswer: -(a - 533)*(a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1189 is divided by 1188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 40028004?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68) + 5*((sqrt(68) + -1*sqrt(68) - sqrt(68)) + sqrt(68)) - sqrt(68))\/sqrt(4) + (sqrt(4896) - (sqrt(4896) + sqrt(4896)*-1))\/sqrt(2).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11 + -30. Let r = g - -15. Which is the smallest value?  (a) r  (b) -0.3  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*g**3 + 2*g**3 + 2*g**2 - 2*g - 1637 - 21684*g**4 + 29867*g**4 + 108 wrt g.\nAnswer: 196392*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.9, 48610, 4 in ascending order.\nAnswer: -1.9, 4, 48610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.8741 + -0.4741. Which is the fourth smallest value?  (a) 146  (b) g  (c) 1\/11  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18834, -37656, -56478, -75300, -94122, -112944?\nAnswer: -131766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4611, 17361, 38597, 68325, 106551, 153281?\nAnswer: 208521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 19280 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1118 divided by -13?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p\/(p*p**22*p)))**(-43)\/(p*p**(-2\/21)*p*p**(2\/11)) assuming p is positive.\nAnswer: p**(-238874\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 36*v + 11. Let i = -25 + 5. Let z = i - -31. Suppose -19*g + 4*p = -23*g + 24, 5*p - 16 = 2*g. Let c(k) = -7*k - 2. Determine g*n(r) + z*c(r).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f**2\/5 - 624*f - 9225 = 0.\nAnswer: -1025, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**3 + 6*j**2 - j - 6. Let v be w(5). Let b = 23 - v. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r + 3. What is l(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -130 - -128. Let g(u) = -u**2 + 2. Let m(d) = 2*d**2 - d - 7. Give z*m(l) - 7*g(l).\nAnswer: 3*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 367819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 23054727 and 302124?\nAnswer: 4443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 23313304 - -44?\nAnswer: 23313403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 54230 + 54499 = -33*p, 5*p + 2*u + 51 = 1 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/18)\/(2\/(-3))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 - (7 - ((-9 - -2) + -5) - -10).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -3*p**5\/5 - 42*p**4\/5 + 297*p**3\/5 + 5628*p**2\/5 + 4476*p + 5040 = 0.\nAnswer: -14, -5, -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1835961216 to the nearest integer?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 102224471 by 967.\nAnswer: 105713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-23)\/(1449\/(-36))*63\/(-6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 60514 (base 7) to base 2\nAnswer: 11100101000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 + -198628?\nAnswer: -198631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*i**5 + 2*i**4 - i**3 - i**2 - 365*i?\nAnswer: 300*i**2 + 48*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the third derivative of 491*g**5\/60 - g**4\/6 - 7*g**3\/2 - 696*g**2 + 2*g. What is the second derivative of r(l) wrt l?\nAnswer: 982","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 1192 = 5*o, -1797 = 4*z - z - 3*o. Let x = -344 - z. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -2*r. Let c be x(-2). Let w = c + 0. Suppose 57*n = 49*n + 80. Calculate the highest common factor of w and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 1, o: 1, n: 1, p: 2, l: 2, i: 1}. Give prob of picking 1 i, 1 o, 1 n, and 1 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ogoo when four letters picked without replacement from oogoogggogogggogoooo.\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 747688\/13 or 57515?\nAnswer: 747688\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1925, 1921, 1917, 1913, 1909?\n\"Answer: -4*q + 1929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 15*v. Let b be (27\/(-18))\/(1\/(-2)). Let t(k) = -11*k. Let s(a) = a. Let y(o) = b*t(o) + 24*s(o). What is y(f(m))?\nAnswer: -135*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/(-24) + (-111)\/(-18). Suppose 5*f = v*f - 26. Suppose 47 = 2*i + 15. Calculate the remainder when f is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -34, 2, 5, 3, 4 in descending order.\nAnswer: 5, 4, 3, 2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 2*i**3 - 5 + 3 + 54*i - 52*i. Let g(m) = 1 + 7*m**3 - 8*m**3 - 2*m + m. Suppose 2*r + 15 = 3*k, 0 = 5*k - 4*r - 0*r - 25. What is k*y(h) + 8*g(h)?\nAnswer: 2*h**3 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11102 + 321130213?\nAnswer: 321201321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 5*w**2 - w + 4. Let z be o(0). Solve 0*c + 5 = z*c - 3*g, -2 = c - 4*g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-12)\/(-15))\/(1\/((-10)\/4)). Let n be (6 - 6) + y\/6. Let g = 0.6 - 1. Which is the biggest value?  (a) n  (b) g  (c) -1  (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 2 m when four letters picked without replacement from ymssymsssyy?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1341478.2 take away -561514?\nAnswer: -779964.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12 (base 5) to base 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(8)\/sqrt(4) + -3 - (3 + sqrt(18))**2.\nAnswer: -30 - 17*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.878277km in meters?\nAnswer: 1878.277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 362b0 - -32ac?\nAnswer: 3957c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 15\/(-2)*(-14)\/21. Suppose -2*b - 54 = -r*b. Suppose -4*w + b = -18. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 653084892 divided by -3\nAnswer: -217694964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 + 3\/1)\/(-2). Let l = -602 + 319. Let f = l - -280. Is f less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1624869919?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 3*w**2 - 5*w - 6. Let s be u(6). Suppose -s = -3*l - j, 0*l - 3*l + 60 = 5*j. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12 and 120708.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -404 divided by -2\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x - x**2 + x + (-3 + 0 + 2)*(0*x**2 + 0*x**2 + x**2) + 2*x**2 + 4*x**2 - 2*x**2)*(3 - 3 - 3*x).\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 - 2*n**2)*(3*n - 3*n - 3*n) - 2 - 2059453*n + 2059453*n + 205*n**2 + 4*n**3 as u*n**3 + o + a*n**2 + z*n and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -3*r**3 - r**2 + 1. Let w be z(1). Let k be 2*1 + 3\/w. Let t be 6\/(-5 - (-4 + k)). Let g(y) = -y**3 - 3*y**2 + y - 4. What is g(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.05 - -0.05. Let u = -2 + 1.9. Let j = u + d. Which is the second smallest value?  (a) 3  (b) j  (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.6906 times 1267?\nAnswer: -7209.9902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-6)\/(-18))\/((-3)\/(-243)) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(2\/12*3). Suppose q*l + 9 = 45. Calculate the highest common factor of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -126899*o + 146591 wrt o?\nAnswer: -126899","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 70 = -5*k, 2*k + 16*n - 11*n - 37 = 0. Calculate the remainder when 392 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1159868 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 342 - 397. Let g be (-284)\/11 - (-10)\/d. Which is smaller: g or -24?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 2*q + 15. Let u be o(-7). Let w(g) = 4*g**3 - g**2 + g. What is w(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i*i*(i*i**(-8\/11))\/i)*i**(2\/43))\/((i\/i**(1\/8))\/((((i**20\/i)\/i)\/i*i)\/i)) assuming i is positive.\nAnswer: i**(60161\/3784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 10*j - 11*j. Let d be -6*2*j\/(-12). Solve 6*q + d = 4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {o: 1, g: 1, h: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3.1, -2, -0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 1 + 2 + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in 0.2, -4, -8, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 1495 = -1501. Let o = a + -1096. Let c = o - -1498. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 divided by 24?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 + c22?\nAnswer: c25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 266271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-15)\/10)\/(5\/(-2) + 2). Solve -2*j + 7 = -4*x + 1, x - p*j + 9 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 89 - 109 - (52 + 1 + 10 - 8)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -103, 50, 277, 578, 953?\nAnswer: 1402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-31494)\/3196641 + 5282\/406?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = -6*s + 11*s. Is 2019\/(-4)*s\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0  (b) 55.4  (c) -3.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -5*j + 259. What are the prime factors of b(-24)?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 269 + -485. Let s = z - -302. Calculate the remainder when s is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -20*k - 41. Let j(q) = 7*q + 14. Suppose -32*h + 93*h = -366. Determine h*w(r) - 17*j(r).\nAnswer: r + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 2*y**2 + 9*y - 2. Give l(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5790170901?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j**3 + 4*j**2 + 2*j - 5. Let o be h(4). Let a(i) = -36 + 64 - 27 + 6*i**2. What is the tens digit of a(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 375 - 213. Let f = -162.5 + g. Which is the nearest to -0.1?  (a) f  (b) -5  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: (13 - (-4 - (44 + -40))) + 29\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2c47 (base 15) in base 3?\nAnswer: -111001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001792423 rounded to 7 decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the third derivative of 0*m - 4 - 144*m**3 - 2\/21*m**7 + 91\/30*m**6 + m**2 - 186\/5*m**5 + 198*m**4. Determine r so that d(r) = 0.\nAnswer: 1\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-2*sqrt(170)*-2 + sqrt(170))\/(((1*sqrt(90) - sqrt(90)) + sqrt(90))\/sqrt(9)).\nAnswer: -2 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 + 18. Let h = 26 - d. Which is the closest to -0.3?  (a) 5  (b) -1\/4  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -26*m + 1042 + 3352. Let g = 348 - m. What are the prime factors of g?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9 + -7. Let p(i) = i**3 - 2*i**2 + 2*i. Let o be p(k). Solve -3*b = -b - o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 158981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.5, -1, 2, 13.3 in descending order.\nAnswer: 13.3, 2, 1.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 7*i**3 - i + 1. Let j(x) = -2*x**2 + 4*x + 1. Let g be j(3). Let p(z) = -z - 5*z**3 + 7 - z**2 + z**2 - 6 + 11*z**3. Calculate g*c(f) + 6*p(f).\nAnswer: f**3 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 806 = 8*v - 6*v, 4*m + 2*v - 1618 = 0. Calculate the highest common factor of m and 303.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2033510442.\nAnswer: 2, 3, 1543, 219649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1069 + 14051. What are the prime factors of b?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 293 + 1345 = r. Suppose 0*m + r = 9*m. Suppose -m - 130 = -3*c. What is the greatest common factor of c and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1675984 divided by 21.\nAnswer: -1675984\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 171, 371, 583, 795, 995, 1171, 1311, 1403?\n\"Answer: -2*k**3 + 18*k**2 + 160*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -25  (b) -1  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 202 is divided by 95.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b + 5*c + 10, -5*c = 3 - 13. Let u = b - 7. Let x(k) = k**3 + k + 0*k**3 + 2*k + 4*k**2. Determine x(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*l + 8 = -4*l. Suppose -l*o - 15 = -61. Calculate the highest common divisor of 115 and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 1470786*a. Let t(i) = -i**2 - 17*i. Give l(t(f)).\nAnswer: -1470786*f**2 - 25003362*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 + 1. Let y = 15 + -14.94. Let g = 522\/5 + -104. What is the third smallest value in y, g, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-90)\/630)\/(2\/(-4)). Sort -79, k, 0 in decreasing order.\nAnswer: k, 0, -79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p - 17627 = -45067. What is p rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-4)\/(20\/3))\/(-1). Let l = 118.6 - 119. Let z be (28\/(-21))\/((-2)\/(-3)). Which is the second smallest value?  (a) 1\/2  (b) z  (c) p  (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 + 5. Let o(k) = -2*k + 5*k + k**2 - 2*k**2. Let l be o(3). What is the smallest value in m, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.31 - 0.3100012. What is b rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -1 + 4*s - 7*s + s**2 + 0*s. Suppose 15*o + 30 = 20*o. What is the remainder when 65 is divided by p(o)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/(((-4)\/(-5))\/(3\/5)). Suppose v*w = 5*j - 11, -2*j + 7*w - 7 = 2*w. What is the common denominator of (-1 + (-6)\/j)*(-522)\/(-240) and 85\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 71916901111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-2)\/(-18))\/(25\/(-30)). Let p = 2\/39 - 43\/78. Let r = -1193 - -1192. Which is the closest to p?  (a) m  (b) r  (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -53742 - 4?\nAnswer: -53746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.238, -0.5, -1779\/4, -2\/11, 0, 1\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 202 + -262. What is the remainder when (72\/k - 10)*30\/(-4) is divided by 53?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5 + 5.34. Let f = -14 - -14.35. Let u = h - f. Which is the closest to 0?  (a) u  (b) -3\/4  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1509495 + 1509266 = 4*f + 5*x, -6*f - 271 = -7*x for f.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 62687\/10 + -6274. What is the common denominator of 75\/8 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ses when three letters picked without replacement from esiaqsrq.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0, 17, 4, -14355.\nAnswer: -14355, -4, 0, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -24 - -31 - (-1 + 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 8, l: 2, p: 9}. What is prob of picking 2 l?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(891) - (sqrt(891)*-1 + -2))**2 + sqrt(891) + 4 + sqrt(891)*-2 + sqrt(891) - ((-5 + sqrt(891)*1*-5)**2 + 1).\nAnswer: -18729 - 378*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2242233823 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 11475 and 57205.\nAnswer: 7722675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -172, -175, -178, -181, -184, -187?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9237150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, g: 2}. Give prob of sequence ggt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes after 11:16 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 87 + -99.2. Let t = 12 + g. Which is bigger: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-2\/5))**(-10\/7))**(-1\/14)\/((o*o**(-2)\/o*o)**(-5\/8)*o**(-6)\/(o**(-6)\/o*o)) assuming o is positive.\nAnswer: o**(-261\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 299 + 293 - 887 - 883*v + 292.\nAnswer: -883*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -6 - h + 3*h - 3*h. Let i be j(0). Let s(z) = -z**2 - 7*z - 3. What are the prime factors of s(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1244, -3710, -7398, -12308, -18440?\nAnswer: -25794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -491 - -302. Find the common denominator of ((-109)\/(-4))\/(63\/(-14)) and (x\/(-24))\/((-3)\/4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -3*w**3 + 4*w**2 + 6*w**3 - 1 - 2*w**3 - 6*w. Let j(q) = q**3 + 7*q**2 + 6*q + 9. Let d be j(-6). Let a = d - 14. What is p(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 16 - 13. Suppose -2*f + 3 = j - 5, -r*j + 5*f = -68. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12623376 is divided by 1247?\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28082*f - 432 = 28055*f. Calculate the least common multiple of 2*1\/3*96 and f.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 21329 + -17605. What is the highest common divisor of 380 and c?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes after 10:40 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -24864\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -207c66 (base 13) to base 12.\nAnswer: -307a39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2462395.\nAnswer: 5, 13, 43, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -82 + 84. What is the third derivative of 6*j**l - 5*j**3 - 18*j**3 + 20*j**2 + 0*j**3 wrt j?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/12*(-4)\/2. Let a = 4.9 + -3. Let h = a + -2. Which is smaller: h or m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*n - 1892 + 652. List the prime factors of n.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -515\/3, 4\/3, 4\/13, -4, 0, 5509, -1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 23 + -64 + -5 + (-13 - -36).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**3 + 4*b**2 - 2*b + 4. Let c be k(4). Let r be c\/(24\/9)*-2. Let u(n) = n - 4*n + r*n - 2*n. Let f(a) = a**2. Calculate u(f(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -41153 (base 8) to base 13\nAnswer: -797c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2046 * 2.\nAnswer: 4092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27 - (108 + (-16416)\/190).\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 12 + -7. Let j = 11 - y. Solve -j*h + 3*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 745  (b) 1\/5  (c) 9.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - f - 564 = -a, f - 5*a = 204. Let c = f + -117. Is c a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-4)*s\/s**(-1\/22) assuming s is positive.\nAnswer: s**(-65\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 26 by -11119492.\nAnswer: -13\/5559746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pc when two letters picked without replacement from {p: 4, r: 2, n: 5, d: 2, c: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 82732, 330964, 744684, 1323892, 2068588, 2978772?\nAnswer: 4054444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-62)\/14 + (-12)\/(-28). Let j be (-6)\/u*(-16)\/(-6). Suppose -j*a + 71 = -77. What is the remainder when a is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/t**23*(t*(t*t**13*t)\/t)\/t*t*t\/(t**2\/t)*t**10 assuming t is positive.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -18*u - 444*u**3 + 3650*u**3 + 1179*u**2 + 1002*u**2 + 3792*u**3 + 19*u wrt u?\nAnswer: 41988","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 11*i - 6. Let d(v) = -21*v + 13. Let b(r) = -3*d(r) - 7*k(r). Let t = -262 + 256. Let m(w) = 5*w - 1. Determine t*b(j) - 17*m(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((-24)\/20)\/(-3)*-5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -28*x**2 - 4112*x + 1166384. Let m(n) = 2*n**2 - 13*n + 1. Let q(k) = -i(k) - 16*m(k). Determine s, given that q(s) = 0.\nAnswer: 540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-59538)\/(-4)*16\/(-12). Let j be (d\/6)\/((-21)\/9). Let t = -1415 + j. Calculate the common denominator of -4\/7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19 - (13 + -9) - 10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*w + 6 + 4*w - 2 - 4.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f - 8 = -14*f. Let r be (6\/(-66))\/((-3)\/(-3)). Which is the smallest value?  (a) r  (b) 3  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 15 = 2*v. Suppose 63 = v*r + 21. What is the highest common factor of r and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + g + 2)*(g**2 + 3*g**2 - 5*g**2 + (g + 5 - 5)*(-g + 0*g + 3*g) - 4*g**2 - 4*g**2 - 5*g**2).\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -9*x**2 + 13. Suppose 5*z = -2*s - 59 + 23, 3*z + 2*s = -24. Let c(a) = -3 - 10*a**2 + 14*a**2 + 2*a**2 - 3*a**2 - a**2. Give z*h(m) - 26*c(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 310 by -62.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 5 - 6 - -1061 - (2 + -2). Calculate the greatest common factor of 60 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -307002 and 214.\nAnswer: -306788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the second derivative of d**9\/15120 - d**8\/960 + d**7\/140 - d**6\/36 + d**5\/15 - d**4\/3 - 4*d. Let g(u) be the third derivative of t(u). Factor g(j).\nAnswer: (j - 2)**3*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/((-2400)\/(-260))*20\/2?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -30*l**2 - l - 1. Give r(-1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**2\/7 + 15006*o - 394065063.\nAnswer: -(o - 52521)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -25*u + 129 + 271 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -7*v + 3. Let g(n) = -6*n + 2. Let x be ((-1408)\/96)\/44 + 17\/(-3) + 0. Give x*g(c) + 5*q(c).\nAnswer: c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4\/(-10))\/(13\/(-650)). What is the highest common divisor of w and 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 24668 and 1.58 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 164244409 + 683?\nAnswer: 164245092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 - -9. Let v be ((-7)\/(-2) - 0)*m. Calculate the highest common factor of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**3 - 25*n**2 + 130*n + 193. Determine i(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 4 - 5)*(-23*d**4 - 12*d**4 + 3*d**4).\nAnswer: -32*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 3\/13, -1\/22 in descending order.\nAnswer: 3\/13, -1\/22, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dui when three letters picked without replacement from nunuinfnfdqfq?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-825)\/(-100))\/((-27)\/24)*9\/6. Which is the third smallest value?  (a) 1  (b) z  (c) 3\/5  (d) -18\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (350316\/(-5260))\/(4*(-24)\/160)?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 1 = 3*z, 0 = -5*z + 4*a + a + 45. Solve -2*d + 4*v - 33 = -v, -z*v = 5*d - 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25981 - 31530?\nAnswer: -57511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 2\/413, 0.06, 19, 1\/3?\nAnswer: 2\/413","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the first derivative of -184*q + 50*q**3 - 52 - 182*q + 157*q + 14. What is the derivative of m(t) wrt t?\nAnswer: 300*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -12748, -12753, -12772, -12811, -12876, -12973?\n\"Answer: -a**3 - a**2 + 5*a - 12751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -8799*w. Let c(z) = 78344*z**2. Determine c(y(u)).\nAnswer: 6065580583944*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 936421869 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -63*g**5 + 119*g**5 + 123*g**5 + 16*g**5 - 78*g**2 - 48*g**2 wrt g?\nAnswer: 11700*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 2\/3 and -103\/70776426.\nAnswer: 70776426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 173 is divided by 151?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 288 and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5.601  (b) 20  (c) -159\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 + 16.6\nAnswer: 16.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(2448))*1 - (1 + sqrt(2448))*2)**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p + 1628 + 234 = 0. Suppose 0 = 7*g - p + 21. Does 26 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*q**3 + 2*q**2 + 6*q**2 + 2*q**2 + 2 - 11*q**2 + 2*q**4 to the form v*q**3 + r*q**4 + b + o*q**2 + c*q and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4459 = -w + 4*a, 5*w + 16*a = 13*a + 22364. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:32 AM and 4:26 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 3*v + 36. Let i be u(0). Suppose -6 = 5*m - i. Suppose 2*n + m - 14 = 0. Solve 5*o + 24 = n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x = -5*z + 10, z - 7 = -5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 164 divided by 377?\nAnswer: 164\/377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0799 * -12220.\nAnswer: -976.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*p**2\/13 - 82*p\/13 = 0. What is p?\nAnswer: -41, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 13648325 divided by 13648325?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqda when four letters picked without replacement from {q: 5, o: 5, d: 1, a: 1}.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 356882 (base 10) to base 5\nAnswer: 42410012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 27*o + 1209. Determine c(-44).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8627 - 2178. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 405715 or 405711?\nAnswer: 405715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*i = -0*i + 200 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.01 and 44998.\nAnswer: 44998.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 22147, 22075, 21953, 21775, 21535, 21227, 20845, 20383?\nAnswer: 19835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2000 divided by 20.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 39879 - 39878.86. Which is bigger: d or -614?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -60 + 56. Calculate the remainder when (-228)\/(-4) + 1 + x is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 407 + -401. Let b(m) = m**3 + m - 1. What is the remainder when v is divided by b(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.4, 1\/7, 30, -2\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -0.5, 3, -6.4 in increasing order.\nAnswer: -6.4, -3, -0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.048, 0.4, -5\/4, 126 in descending order.\nAnswer: 126, 0.4, -0.048, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-1) - 18\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -658*w - 3945. Let f be r(-6). Solve -4*x + 6*c - 7*c + 16 = 0, -x - f*c = -15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/8 - 99\/(-36). Solve f*s + 12 = -0*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1054 and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -17*a**3 - 5*a**2 - 5*a + 13. Let g(n) = 9*n**3 + 3*n**2 + 3*n - 6. Let u(x) = 3*c(x) + 5*g(x). What is the first derivative of u(v) wrt v?\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3299464*t + 200 = 3299474*t for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the first derivative of -13*s**7\/210 - 3*s**3\/2 + 7*s**2 - 18. Let n(q) be the second derivative of f(q). Find the first derivative of n(t) wrt t.\nAnswer: -52*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -112 + 233 - 69 - 10*v - 106 as p*v + h and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6 times -1.7?\nAnswer: -1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -3504 (base 12) to base 4\nAnswer: -1130110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 35500 and 852?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the third derivative of 0 - 11*w**2 + 1\/6*w**3 + 0*w. Let h(z) = 2*z - 15. Let a(q) = h(q) + 6*t(q). Determine a(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 6*t**2. Let z(n) be the second derivative of n + 0*n**3 + 0*n**2 + 13\/12*n**4 - 10. Determine f(z(k)).\nAnswer: 1014*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 224870?\nAnswer: 2, 5, 113, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 888.9635 millennia to decades.\nAnswer: 88896.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -117462.\nAnswer: -1\/58731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 71*(-2 - 1\/((-1)\/3)). Let o = b - -51. What is the remainder when o is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*b + 16866 - 3666 = 0. What is the least common multiple of b and 220?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2230891193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 20653776 and 1416?\nAnswer: 20653776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5\/24 of a decade?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, l: 4, s: 3, z: 1, m: 4}. What is prob of picking 2 l?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1129 = -3*z - 2*x, 1056 + 450 = 4*z + 2*x. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000070379 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -32 + 34. Suppose 2*t - 2*b = 312, -l*t + 4*b = -3*t + 141. Suppose h - t = -2*h. Calculate the remainder when h is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2*(-1)\/8 + 927\/36. Calculate the greatest common divisor of v and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 10\/6*(-18)\/(-15). Solve -3*x = -4*m + p - 14, 5*m + 2*x = 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.03 - 1.03. What is the nearest to r in 2\/9, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 225900318 by -130277.\nAnswer: -1734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11 - 1 - -4) + 31 + -18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 not equal to 1484?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 32499305.64?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 9 - (6 + (2 - 16))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*f**2 - 5*f**2 - 20*f**3 + 37*f**2.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -650 divided by 130?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*a + 7 - 1 - 6.\nAnswer: -21*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p + 2*p - p)*(1 + 4 - 6)*(-2*p**2 + 0*p + 0*p).\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 717*w + 24806 - 12401 - 12405.\nAnswer: 717*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*u**3 - 20292*u**2 + 231890*u wrt u.\nAnswer: -18*u - 40584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 125 and 675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 702*v**3*x + 3*v**3 - v**2*x**2 - 5*v*x**2 - 2*x**2 - 336*x + 2 wrt v?\nAnswer: 4212*v*x + 18*v - 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 - -4. Let n be (12 - -4)\/(-4) - -2. What is the remainder when b is divided by (n + 0 + 4)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 + 363*i**2 - 8 - 18*i**2.\nAnswer: 345*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 16962 - -4127. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 - 7363040?\nAnswer: -7363034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*r + 4 - 4)*((-7*r**2 + 3 - 3)*(-5 + 3 + 4) - 2*r**2 + 6*r**2 - 2*r**2 + 34*r**2 - 15*r**2 + 10 - 17*r**2 + (2*r + 2 - 2)*(-2*r + 6*r - 3*r)).\nAnswer: 40*r**3 - 50*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*i = 52 - 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(110) - 1*(sqrt(110) - -2*sqrt(110))) + sqrt(110))*4*1)\/(-2*(sqrt(160)*2 - sqrt(160))*2).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -1 - 9. Suppose 4*w - 26 = -2*t, f*w - 2*w - 6 = 3*t. Let h(o) be the first derivative of -o**4\/4 + 4*o**3\/3 - 5*o**2\/2 + 2*o - 1. What is h(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4442 divided by 201?\nAnswer: 4442\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 37 (base 12) to base 11.\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the third derivative of i**4\/12 + 2*i**3\/3 + 19*i**2. Calculate p(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*q = 4*l + 159 - 46, l + q - 1 = -3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i**2 + 4 - 4 + (3*i + 4*i - 5*i)*(-i - 3 + 3))*(-38 + 8 + 2).\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 23\/(690\/(-20))*-24?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/2838 and -169\/5868984.\nAnswer: 5868984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7299?\nAnswer: 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + (-13 - -12) - (17 + -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 25.9 + -460.9. Let x = a + 439. What is the biggest value in -2, -1.2, x, 1\/6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1224 + -1124. Is 18 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 368 divide 63993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 6160935899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*2*sqrt(1458).\nAnswer: 324*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -33 - 550?\nAnswer: -603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -9 - -4 - (5 - 7 - -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -2, 3, 8, 0.01 in ascending order.\nAnswer: -5, -2, 0.01, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i + 2 + 3 + 3*i)*(-1 + 1 + 3 + (2 - 5 + 2)*(2 + 1 - 2) + 1 - 3 + 4).\nAnswer: 4*i + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -11 in -4\/17, -0.12, 2?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -102.43*1.872.\nAnswer: -191.74896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 303477201 to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the third derivative of -1\/4*u**4 + 1\/20*u**5 + 0*u + 25\/6*u**3 - 2 - 13*u**2. What is the derivative of y(s) wrt s?\nAnswer: 6*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 284.8, -1\/3, -17\/5, 37 in descending order.\nAnswer: 284.8, 37, -1\/3, -17\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -470741, -470745, -470751, -470759?\nAnswer: -470769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 10*x - 707. Let g be d(71). Which is the third biggest value?  (a) -0.3  (b) -719  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/(-6) - 1\/(-3). Suppose 2*f = 2*l + s - 3, 17 = -f + 5*l. Let a be (1 + 9)*(f + 0). Calculate the greatest common divisor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*h**2 - 341*h - 5 + 6 + 343*h)*(0 - 5 + 4).\nAnswer: 10*h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -13242 - 430132?\nAnswer: -443424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7295, -14589, -21883, -29177, -36471?\nAnswer: -43765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -140 + 151. Solve 5*i - 9 = g for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 982717, 1965434, 2948151, 3930868, 4913585?\nAnswer: 5896302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -2774350 >= -2774349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24671 is divided by 199.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 7*j**3 + j**2 + j. Suppose 5*u = -5*z + 10, 25*z - 4*u = 23*z - 14. What is r(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence twp when three letters picked without replacement from {w: 1, o: 3, k: 2, u: 10, t: 2, p: 1}?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 80544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/5)\/((-16)\/(-200)*-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + (-4 - (-11 + 6 + 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**2 - 6*m. Let u(r) = -6*r**2 + 24*r. Let d(y) = -12*p(y) - 3*u(y). Suppose 2*j = 2*g - 12, 5*g - 20 = -2*j + 5*j. Calculate d(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22119677 minus 0.02393?\nAnswer: -22119677.02393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 641 minutes after 4:28 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*f**3 + 29*f**3 - 11*f**3 + 6*f**3 - 17*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) 0.1  (b) -0.2  (c) -1  (d) -47  (e) -3  (f) 0  (g) -468\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u**4\/4 + 81*u**3\/2 - 1599*u**2 - 3362*u = 0.\nAnswer: -2, 0, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-92)\/598*338\/5564?\nAnswer: -1\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/6*2\/4*12. Find the second derivative of -7*y**2 - 16*y - 12*y + 64*y - z - 25*y + y**3 wrt y.\nAnswer: 6*y - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from fweinnm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2839 - -4569822438?\nAnswer: 4569825277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 11, 594, 2177, 5258, 10335, 17906?\n\"Answer: 83*h**3 + 2*h**2 - 4*h - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 85 - (11038 - 11030).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -40*19\/(-3496)*(-4)\/10. Which is the closest to -0.37?  (a) -5  (b) z  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 162968326 to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-86 - -82) + (-22)\/(-4))\/(6\/(-44)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31*j - 90 + 11*j - 92 + 182.\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3750193129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.14, 1, 3\/22, 0.4, -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 70 + -54. Suppose 91 - q = -5*z. What is the remainder when 53 is divided by 1\/(z\/(-207)) + (-1)\/(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 393*w + 1187 + 347 = -38 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -3*u + 18, 5*i + 16*u - 14*u = 25. Let n be 1 + (-38)\/(-14) - 2. Factor 0*b - 10\/7*b**4 - n*b**i - 2\/7*b**2 + 0.\nAnswer: -2*b**2*(b + 1)*(5*b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 99594.62ml to litres.\nAnswer: 99.59462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1555254 + 3?\nAnswer: -1555251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2875 and 125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventy-three fifths of a litre?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*a + a + 2*a)*(0*a - 2*a**2 + 0*a) + 8*a**2 - 4*a**3 - 8*a**2.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13681353.\nAnswer: 3, 7, 43, 109, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 28 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 54364*g**3 - 34403 wrt g?\nAnswer: 163092*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 + 24*i**2 - 2*i**4 + 68*i**3 - 68*i**3 - 14*i**2 - 7*i in the form o + g*i**3 + c*i**2 + v*i + q*i**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let -142\/13*r**2 + 54\/13*r**3 - 14\/13*r**5 + 24\/13 + 40\/13*r + 38\/13*r**4 = 0. What is r?\nAnswer: -2, -2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**3 + 9*r**2 - 7*r - 5. Let b be f(8). Suppose -3*u - b*d = 2 + 4, -2*u + d = 10. Let s be u\/10 + 186\/15. Solve -m = 2*m + s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l + 0*l = 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in -0.2, 0.24, 4.7, 3?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -321 divided by 17\nAnswer: -321\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 - 75 = -11*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is (1 - (-2508)\/16)*4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 742 by 14.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.11 minus 317?\nAnswer: -317.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -288?  (a) -2  (b) 0.3  (c) 0  (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 5*j + 36 = 0, 4*o + 0*j + 3*j = 44. Let i be (o\/(-6) + 2)*63. Let r = i - 30. What is the remainder when r is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*s - 64 = 27*s. Let p = s - 23. Let u(y) = 9*y - 36. Let b be u(p). Calculate the greatest common divisor of 18 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1914 and 77172.\nAnswer: 24617868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 78995114*h*j**3 - 12*h*j**2 - 3*h*j - 64*h - 18*j**2 - j - 2 wrt j.\nAnswer: 473970684*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 66841*h**3 - 106*h + 56*h + 50*h.\nAnswer: 66841*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 922415023 - -0.5\nAnswer: 922415023.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 368 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4.9 + -1.9. What is the second biggest value in -3, c, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 5) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 39072 divided by 6?\nAnswer: 6512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n + n - n)*(-n**4 - 3 + 3) + 2*n**5 - 6*n**3 - 507572 - 2*n**2 + 507570 + 3*n**5.\nAnswer: 3*n**5 - 6*n**3 - 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 21 and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -16\/3 and 37\/288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(72) + -3 + sqrt(72) + -1) + 4)**2 + -4*(4 + sqrt(72) + 1)**2 + 1.\nAnswer: -4272*sqrt(2) + 10765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 120 divide 152931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -2134 greater than -2130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1259.1 + -1259. What is the nearest to 0.1 in 2, 0, -2\/63, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 2*l**2. Let s(j) be the third derivative of j**5\/15 + 5*j**2. Determine s(f(m)).\nAnswer: 16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -188.057 + 8.987. Let s = v + 259.011. Let p = -80 + s. Round p to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9363087 a multiple of 1801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o*o\/(o\/(o*o**(1\/4))*o)))**(-10\/3) assuming o is positive.\nAnswer: o**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 151144 is divided by 1192?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f**2\/2 + 49645*f + 10063475\/2 = 0. What is f?\nAnswer: -32995, -305\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -7*c - 1. Let s be -3 + 1 - (3 + -4 + -4). Calculate the remainder when d(-2) is divided by 10\/s - (44\/(-12) + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -1031*q - 2183. Is 10 a factor of g(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (2 + 263\/(-130))\/(40\/1700) and 97\/44?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, t: 5, e: 5, f: 7, b: 1}. What is prob of picking 1 e, 1 t, 1 f, and 1 i?\nAnswer: 175\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 99178*j - 5 - 198352*j + 4 + 1 + 99167*j.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 66567761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 6 - 617?\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10078.\nAnswer: 2, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 178121?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 1\/2  (b) -2\/15  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**2 + 7*t - 5. Let y be m(6). Let x be (2\/4)\/(y\/4). List the prime factors of 2 - (-147 + 2\/x).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1683 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/20096 and 39\/640?\nAnswer: 100480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**2 - 6*h. Let i(o) = 4*o. Let b(r) = 3*i(r) + 2*k(r). Let g be 2\/4*28\/7. Let x(d) = -8*d**2 - 2*d**2 + 4*d**2 - 10*d**g. Give x(b(n)).\nAnswer: -64*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9731092 is divided by 107.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2617975263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*y - 37 - 5. Let z(g) = -g - 3*g + 5*g - 6. What is z(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-34)\/u**(4\/13))**(-10\/7) assuming u is positive.\nAnswer: u**(4460\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:00 AM and 8:12 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 n when two letters picked without replacement from {y: 3, n: 5, x: 1, t: 6}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 4*f**2 + 65*f - 114. Is 133 a factor of c(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-105)\/(-1458) - 0\/((-18)\/18) and -41\/24.\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g + 5*g - 6 = 0. Let b = g + 10. Suppose -6*n = -b*n - 12. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 785590849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 14623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(1344) - sqrt(1344) - -1*sqrt(3024))\/(sqrt(72)\/sqrt(6) + sqrt(12) + (sqrt(3) - sqrt(48)*3)).\nAnswer: -12*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -1 + 1 + 2*c**2. Let r(v) be the third derivative of 0*v**3 + 6*v**2 + 0*v**4 + 0*v + 0 + 1\/10*v**5. Give r(m(u)).\nAnswer: 24*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2786556 + -5627.773.\nAnswer: -2792183.773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, j: 1, m: 1, c: 3, t: 5, y: 1}. What is prob of picking 1 n and 1 y?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 207 a factor of 2052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-988)\/(-19)*(-1)\/10*5?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (172\/(-215))\/(2170\/35*1\/(-5)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 16) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + w = 4*w - 6, l + 2*w = 5. Suppose 211 = l*v - 2*j, -2*j = -1 - 1. Suppose 431 = 5*b + v. Does 24 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 2*i - 8 = 2*i, -p + 3*i + 1 = 0. Suppose 2 = -v + 2*v. What is the smallest common multiple of v and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**2 + 147*r - 1853. Determine a(133).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q + 101 - 47 = 0. Let k(t) = -7*t - 12. Let d(b) = -16*b - 27. Let g(c) = q*k(c) - 4*d(c). Let f(x) = -3*x**3 - 3*x. Determine -4*f(m) - 12*g(m).\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -706 + 665. Is m <= -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the first derivative of -y**5\/2 + 35*y**4\/4 - 235*y**3\/6 + 25*y**2\/2 + 180*y - 3865. What is v in z(v) = 0?\nAnswer: -1, 2, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w**2 + w - 1. Let i(y) = -9*y**2 - 7*y + 3. Calculate i(c) + 6*p(c).\nAnswer: -3*c**2 - c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 1 p, and 1 n when three letters picked without replacement from bppppbppppnbbp?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 3*x + 5. Let m(j) = -4*j - 7. Let v(u) = 5*m(u) + 7*o(u). Let i(s) = 8*s. Calculate i(v(w)).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes after 9:13 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the second derivative of -a**5\/20 - a**4 - a**3\/3 - 11*a**2\/2 - a. Is 13 a factor of y(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 144, 291, 426, 549?\n\"Answer: -6*c**2 + 165*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 28173236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -346748*g**2*m**2*o + 4*g**2*m*o + 3*g*m**2*o - 18*g*m**2 + 734*g*o - 2*m**2 - 3*m wrt g.\nAnswer: -693496*m**2*o + 8*m*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 69224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -100 + 13300441?\nAnswer: 13300341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g - 2637 + 2642. Let q = -0.1 - 0. Let w be (-26)\/40 + (-4)\/(-10). What is the closest to g in w, -4, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xvv when three letters picked without replacement from {x: 1, v: 5, e: 10, r: 4}.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.13?  (a) -24\/14003  (b) 0.5  (c) -3  (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 15855 from 49.6.\nAnswer: -15805.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide (21 - -2) + -3 + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11121271 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00088173 rounded to 5 decimal places?\nAnswer: 0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12*p**5 + 8437212*p**4 + 691761576*p**2 wrt p.\nAnswer: -720*p**2 + 202493088*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*y**2 + 10*y - y**2 - 7*y**2.\nAnswer: 2*y**2 + 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -57859\/6 + 9668. Calculate the common denominator of b and (0 + (-15)\/6)*208\/90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -189 - -213. Which is the third smallest value?  (a) s  (b) -3\/4  (c) 2  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y**5\/7 + 18*y**4\/7 + 60*y**3\/7 + 92*y**2\/7 + 66*y\/7 + 18\/7 = 0. What is y?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -9*u - 11. Let j(l) = -5*l - 6. Let a(i) = -3*b(i) + 5*j(i). Give a(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 112 equal to 66955\/601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*f + 9*f = -91. Solve -2*m + f = 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/10 of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -3*t + 21 + 0*t - 13 - 7. Determine z(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 + 8 + -5 - (11 - 2 - 4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 108.25 + -107. Let k = n - -2.75. Let a = 6.1 - 1.1. What is the third biggest value in a, -0.4, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**2 + 790400*r - 78091520000.\nAnswer: -2*(r - 197600)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 62 = -51*y - 864 - 134 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 406 divide 547076880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*l - 8 - 10*l - 110 + 21 in the form u + q*l and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7 - 4. Let u be ((-8)\/(-24))\/(2\/(-6)). Let f be (-1)\/p*(u + 1). Is 2 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 divided by -73483927?\nAnswer: -7\/73483927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -13311 - -36437?\nAnswer: 23126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 754, 6784, 23366, 55774, 109282, 189164, 300694, 449146?\n\"Answer: 879*l**3 + 2*l**2 - 129*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k**2 + 2 - 2)*(3 + 1 - 5)*(11 + 6 - 14) + (11*k**2 - 10*k**2 + 6*k**2)*(-1 + 3 - 4).\nAnswer: -17*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*q**2 + 2*q**2 - 3*q**2)*(0*q - 31*q - 29 + 31).\nAnswer: 155*q**3 - 10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((155*20\/(-20))\/(-5))\/(-1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 819 and 4.\nAnswer: 3276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1434.\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-8)\/(-10))\/((-4)\/10)*4. Let a(t) be the third derivative of t**5\/60 + 13*t**4\/24 + 6*t**3 + 21*t**2. Let p be a(m). Which is smaller: -5 or p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve r - 4*i = 16, 12*i - 31*i = -5*r - 17*i + 26 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 0 + k**2 + 9*k - 2 - 9*k. What is p(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (48 - 50) + (3 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 5*o - 11 - 19 = 0, 2*w + o - 7 = 0. Solve 0 = p + c + w, p + 3*c = -2*c - 17 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 581446 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 176959 is divided by 160?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 8*f - 16. Let m be s(12). Suppose -1 = -d - 4*l + 2, -4*d + m = -l. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -12, 1, -37 in decreasing order.\nAnswer: 1, -4, -12, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, x: 1}. What is prob of picking 2 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -2*i**2 - 39*i - 164. Let j be x(-13). Sort j, 2, 3, -47 in decreasing order.\nAnswer: j, 3, 2, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 691 divided by -32814.\nAnswer: -691\/32814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -28\/9?  (a) -1  (b) 4  (c) 2\/11  (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 21\/5 and 127\/2158050.\nAnswer: 2158050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 3*q + 8*q - 850*q**2 + 0*q + 849*q**2 - 2 - 4. Give w(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 27*h**2 - 29*h + 21. Let s(m) = -10*m**2 + 10*m - 7. Let j(b) = -3*a(b) - 8*s(b). Let g(d) = -2*d + 2. What is 14*g(y) + 4*j(y)?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 139 - 277. Let d = l + 130. Let u = 6496\/17 + -382. Which is the smallest value?  (a) u  (b) d  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/770*5*(2380\/(-18360))\/((-1)\/6)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k + 6 - 14. Suppose 5*u = -w + 5, -3*u = -5*w + k - 5. Let r(j) = j**2 - 876*j + 879*j + u + 1. Give r(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2\/(-7) + (-548)\/(-7) + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*b + 4*b = -10*b - 1872. Calculate the lowest common multiple of 22 and b.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -15 + 10. Suppose 8 = -21*w - 13. Which is the third biggest value?  (a) -2\/5  (b) w  (c) r  (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 34031572*a*r**3 - 455*r**3 - 1023*r**2 - 2*r + 6 wrt a.\nAnswer: 34031572*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**4\/5 + 6*o**3\/5 - 4*o**2\/5 - 24*o\/5 - 16\/5.\nAnswer: 2*(o - 2)*(o + 1)*(o + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(17\/952*-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 4\/14 - 934\/280 and (21\/30)\/(27\/15).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10352536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 169 = -r - 12*r. Suppose -3 = -3*n + 5*p + 6, 3*n = p - 3. Let j = n - r. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9560.969989 + -9561. Let l = -2 + 2.03. Let z = l + q. Round z to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes before 3:51 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 11 - 3 + r**3 - 8*r**2 + 0*r**2 + 3*r. Let o(k) = -12*k - 4. Let x be o(-1). Is 16 a factor of q(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the second derivative of -h**5\/20 - h**4\/3 + 2*h**2 - 5*h. Let y be w(-4). Solve d + 0*d = -y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -198*u**4 + 14*u**3 - 5*u - 484520 wrt u.\nAnswer: -2376*u**2 + 84*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (485\/5)\/(10\/4*-8*(-71)\/(-1420)).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 12773*v**2*z**3 + 6*v**2*z**2 + v**2*z + v**2 + 9373*v - 144*z**3 wrt v.\nAnswer: 25546*z**3 + 12*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1121\/3 - 373. Let l(w) be the first derivative of 0*w**2 + 3 + j*w + 2\/15*w**5 - 4\/9*w**3 + 0*w**4. Solve l(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -16, -1343, -3, 1\/15.\nAnswer: -1343, -16, -3, 1\/15, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -3*t, 0 = 5*u + t + 27 + 43. What is the units digit of ((-3)\/u)\/(1\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 38\/11, 5, 3\/5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 10 divided by -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 3 - 3)*(17 - 14*m - 17 + (3*m - 2*m - 3*m)*(-5 + 0 + 4) - 1 + 2*m + 1 + (-1 + 0 + 2)*(4 + 2*m - 4)) as t + b*m and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the second derivative of -x**5\/5 - x**3 + x**2\/2 + 2*x - 18. Find the second derivative of z(w) wrt w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 2*q**2 + 3*q**2 - 4*q**2. Suppose 5*h - 21 = 14. Let t(g) = 10*g - h*g + 2*g. Give t(b(k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 + (-2 - -16) + (7 - 16) - 51) + -10?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -20 - 10. Suppose 0*i + 14 = 2*i. Calculate the remainder when 3 + p + (-6)\/(-3) is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 3*m - 59. Calculate the lowest common multiple of -1 - -2*(-10)\/(-2) and c(22).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15800 is divided by 229.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 48 + -28. Suppose 20*d = 25*d - x. Suppose -5*j = d*s - 2*s - 763, 5*s - 1893 = 2*j. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -17.201 and 6983?\nAnswer: 7000.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*x + 13*r - 10*r - 162, 0 = 3*x + 124*r + 25 for x.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-92)\/5*(1320\/(-48))\/(-55)*2*-5?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a hour in seconds?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**3 - 18*z**2 - 39*z - 20. Let p be a(20). Suppose 2*r - 2872 = -2*k, r + 2*r - k - 4328 = p. Calculate the remainder when r is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + 3 + -6 - (132 + 11 - 103).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 8639823281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**2 + 15*h + 11. Let s be d(15). Find a, given that -40 - 35 + 624*a - 4*a**2 - 692*a + s = 0.\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*j**3 - 7*j**2 + 7*j**2)*(13*j - j + 2*j + 17*j).\nAnswer: -93*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 16689382 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/7, 26\/111, -4 in increasing order.\nAnswer: -4, -4\/7, 26\/111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*s**2 + 71 - 5*s**2 - 71 + 7*s to the form o + n*s**2 + b*s and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/9  (b) -251  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**2 - k - 1. Let n be s(-2). Suppose 12 = n*p - 18. Let z = -73 - -127. Calculate the greatest common factor of z and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*b + 3*b + 4*b)*(-5*b + b - 2*b + (-3 + 1 + 4)*(2*b - 2 + 2)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, u: 3}. Give prob of sequence uu.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78\/5*v - 3\/5*v**2 - 507\/5 = 0. What is v?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1273 a factor of 547284341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 26.1 in 2\/5, -8, -7, -6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**3 + 11*r**2 + 55*r + 73. Determine o(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 30 and 510.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**2 - 2*z - 44. Let c be u(8). Suppose -75000008 = y + 4*b, -2*b + 56430888 = -c*y - 243569108. Round y to the nearest 1000000.\nAnswer: -75000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6523 - 6341 - 5538 + i - 10546.\nAnswer: i - 15902","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 2*b**2 + 8*b - 22. Let l be u(-6). Suppose 4*z = -o - 4, -3*o - l = 4*z + 2. Solve -12 = -3*y - o*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -89241 or -89243?\nAnswer: -89243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1477 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v - 5*p + 28, 4*p + 5 - 19 = v. Let a be (-38)\/v - (-2)\/3. Suppose -5 + 6 = o. Calculate the highest common divisor of o and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 853 - 829 = 12*s. Solve -s*y + 4*y = d - 2, -3 = d + 3*y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -36 + 37. Sort -6, 3, n.\nAnswer: -6, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 minutes after 11:41 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 104841059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -581425 less than -4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**3 + 3*h**2 + 2. Suppose -r = -3*r - 4, -5*r = -5*c + 25. Give t(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1*(-5)\/(5\/(-3)). Calculate the remainder when c*-1*106\/6 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*c = -57*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 94, 105, -582, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 48 - 218 = -35*q. Let x = -23.9 - -24. What is the closest to x in 5\/4, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 8 = 2. Let j = 45 - 31. Calculate the smallest common multiple of b and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (13\/(-1846))\/((-6)\/4). Let j = -433\/1491 + k. Is -95 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 21854*((-13)\/(-2) - 6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -13*k**2 - 1. Suppose -h + 0 = -1. Let q be s(h). Is 0 - (q + -1 - -1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/10 and (-17*6\/(-26) + -4)*-9.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -279499825 and -6.\nAnswer: -279499831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the second derivative of -2*p + p**4 + 1\/20*p**5 - 7*p**2 - 5\/3*p**3 + 0. Calculate the remainder when t(-12) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:09 AM and 11:55 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (-3 - (1 + 0)) + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3585115 divided by 1?\nAnswer: 3585115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 0.74  (b) -49  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -2*y - 3. Let k(o) = o - 7. Let i be k(7). Suppose -v + 6*v - 15 = i. Let j(m) = m + 2. Determine v*j(q) + 2*s(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = 5*m - 6285, 3339 = 2*a + m - 844. List the prime factors of a.\nAnswer: 2, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4600 = 409518\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20\/(-45)*3)\/(((-1856)\/89784)\/(2\/3))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-4*(-6)\/(-3))\/((-2)\/(-1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 - 4. Let r = u - 0. Let o = r - -13. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 76\/133*7\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 2 = n, 12*n = 4*u + 14*n - 20. What is the second derivative of 8732*w + 2*w**2 - 68*w**u - 8904*w - 2*w**2 wrt w?\nAnswer: -408*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3468148 (base 10) to base 13.\nAnswer: 945778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/(-8) - ((-330)\/24)\/55. Solve 0*a**2 - k + 3\/2*a**3 + 3\/4*a**4 - 3\/2*a = 0 for a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 1)*(672*a**5 - 2*a**2 + 2*a**2 - 1062*a**5) + (-2*a**2 + 2*a - 2*a)*(-4*a**3 - 7*a + 7*a).\nAnswer: 398*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -23\/2*v + 23\/2*v**3 - 25\/2*v**2 + 12 + 1\/2*v**4.\nAnswer: (v - 1)**2*(v + 1)*(v + 24)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1010001220 (base 3) in base 8?\nAnswer: -52641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 28 = 4*t. Let k = 454 + -4997\/11. Sort -5, k, 1, t in decreasing order.\nAnswer: 1, k, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 5, -57, -2, -29105.\nAnswer: -29105, -57, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -528 - -526. Let z = 10 + -73\/7. Sort z, -0.5, g in descending order.\nAnswer: z, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -40443, -40442, -40441?\nAnswer: -40440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9133 is divided by 381.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w = -1616*f + 1619*f - 89, 4*f + 150 = -5*w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 60 = -4*q. Let m = q - -20. Differentiate 0*k**2 + m - 2 - 3*k**2 wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**0)**(-25)*(t\/(t**(-2\/7)*t))**(2\/113))**26 assuming t is positive.\nAnswer: t**(-514046\/791)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**3 - 7*b**2 - 7*b - 8. Let q be o(8). Suppose 632 = 2*j - 2*u, -j - u = -q*u - 318. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4\/5  (b) 2\/9  (c) 0.4  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes after 10:58 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -148.6 and 179?\nAnswer: -26599.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n + 2. Let t be y(1). Let s be -1*(t + -3 - -1). Is 54 - (3 - (s + 1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-9)\/11 + 3 + -2. Suppose 2*h - 6 = -4. Which is smaller: o or h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the third derivative of s**5\/60 - s**4\/2 + 5*s**3\/2 + 4*s**2. Let p be n(11). Solve -p*k - 5*x = -x, 0 = k + 4*x - 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j\/(j*j\/(j*j*j**(-11)\/j*j*j)))**(2\/51)\/(j**(-30)\/j)**(-2\/65) assuming j is positive.\nAnswer: j**(-4202\/3315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**(-2))\/k)**(1\/56)*k**5\/k**5 assuming k is positive.\nAnswer: k**(1\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l**2 + 30*l - 650. What is the remainder when r(-53) is divided by 103?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2060, -8191, -18410, -32717, -51112, -73595, -100166?\nAnswer: -130825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0, 509.\nAnswer: 0, 3, 509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-13)\/1 - 14151\/(-1068).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8478151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 4*h - 1. Let v(y) = -20*y + 4. Let u(m) = 3*v(m) + 14*x(m). Let q be u(-5). What is q rounded to zero dps?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5*(-27)\/375*10\/(-6)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o**2 - 4*o + 4*o)*(-5*o - 5 + 5) + o**3 - 4*o**3 + 0*o**3.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54356 is divided by 776.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 4170335, 4170339, 4170343, 4170347, 4170351?\n\"Answer: 4*u + 4170331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) + sqrt(102)\/sqrt(6)*6)*3.\nAnswer: 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 859282?\nAnswer: 2, 17, 127, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-5)\/(25\/(-8)) - 1. Let u = -3 - -5. Let o = u - 1. Which is the closest to 0?  (a) 2  (b) o  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*t**2 - 203824 + 203824.\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -130*w - 917. Determine z(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 800609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 11303 + -10?\nAnswer: 11273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 3*g + 0*g + 171 = 0, -5*a = 5*g - 915. What is the least common multiple of a and 330\/(-110)*(-32)\/6?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25886 is divided by 8460.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**2 - 8*y + 6. Let g be h(6). Let n = 9 - 5. Suppose n*j = -3*t - 2 - 5, -3*j - 5*t - 8 = 0. Which is smaller: g or j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i**2 - 16*i - 15. Let d be u(17). What is the third derivative of -8*c**5 + 117*c**d - 102*c**2 + 0*c**5 wrt c?\nAnswer: -480*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - (1 + (-6 - -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*n + 93 = -6*n. What are the prime factors of n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 66246\/3801*(-3)\/((-60)\/(-70)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -3*j**2 - 7*j - 7. Let u(h) = -2*h**2 - 3*h - 3. Suppose -27*b + 23*b + 12 = 0. Give b*t(z) - 7*u(z).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 410 - 0?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -274 - -274. Suppose -b - 2*o = -o - 1, 4*o + 8 = v. Solve j = -m, -b*j + 1 = -5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -2*q - 4. Let m be u(-3). Let s(y) = 243*y - 1. Let v be s(m). What is the tens digit of (-4)\/(-18) + v\/45?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (41*c - 23*c + 15*c + (2 + 1 - 1)*(1 + 3*c - 1))*(c - 4*c + 0*c) to w*c + d*c**2 + g and give d.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 - -1.5. Let o = 1516\/11 + -138. What is the smallest value in b, o, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -40*l**4 - 5*l**4 - 7*l**4 + (1 + 0 - 2)*(6*l - 6*l - 14*l**4) to the form h*l**2 + i*l**4 + u*l**3 + n*l + v and give i.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 470 is divided by 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 2027 divide 129805271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 72925621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes after 4:49 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-110 + (109 - -3))\/(-1 + 12\/14)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 31, -4, 0, -9, 1 in ascending order.\nAnswer: -9, -4, 0, 1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:21 PM and 3:11 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -5*x, 4*x - 44331 - 54993 = -4*a. Is 72 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-6)\/h*h\/(h**(-21)\/h) assuming h is positive.\nAnswer: h**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/31 in -2440, -4\/3, -38?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p\/p**(-2\/35)*p)\/p)**(-2\/33)\/(p**(-4))**21 assuming p is positive.\nAnswer: p**(32292\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 10*j**2 + 111*j - 16. Let v be m(-11). Let k be -84*(-9)\/(v\/485). What is k rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2, -7, -261, 3\/8, -1\/2, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 take away 3591083?\nAnswer: -3591082.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9724 - 10641. Is f not equal to -915?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0036847 rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.7396333 rounded to 1 dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-203)\/(-870)*(-4)\/(-7))\/((-12)\/54).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 + (-2)\/2 + -1. Let l(b) = 35*b + 3. Let u(f) be the third derivative of -f**4\/2 - f**3\/6 + 3*f**2. Let x(j) = 3*l(j) + 8*u(j). What is x(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -4532084, -9064174, -13596264, -18128354?\n\"Answer: -4532090*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**3 - 6*n**2 + 10*n + 1. Give s(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t. Let r(p) = -9*p. Let l(b) = -3*r(b) + 24*x(b). Let z(m) = 4*m**2. Give z(l(k)).\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*j**3 - 31*j**3 - 141*j**3 + 37*j**3 - 84*j**3.\nAnswer: -202*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 50874 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(162) + 1 + (sqrt(162) - 1*sqrt(162))**2).\nAnswer: -27*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 2737745, 21901654, 73917975, 175212914, 342212677, 591343470, 939031499?\n\"Answer: 2737701*x**3 + 2*x + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -83389\/13 - -6415. Determine g, given that 2\/13*g**3 + 2\/13 + s*g**2 + 6\/13*g = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 82904125?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 18965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/9, -3, -5, -0.3, 44\/5 in ascending order.\nAnswer: -5, -3, -0.3, 2\/9, 44\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -355016 - -31?\nAnswer: -354985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 105*j - 31*j - 574 + 2*j**2 - 33*j - 41*j to the form d*j + n + t*j**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ucz when three letters picked without replacement from {z: 3, u: 7, c: 3}?\nAnswer: 21\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 2*j + 8 = 0, -5*j - 10 = -2*o - 11. Let v be 2\/12*-5*34\/(-170). What is the closest to 8 in v, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**3 + 6*d**2 + 10*d + 1. Let g be k(7). Suppose -20*s = -g*s + 6. Solve 10 = -2*c, 6*c - 2*c + 20 = s*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -16 + 70. Let u = 7 - 5. Suppose -x = -u*y + 10. Calculate the remainder when y is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -5*h**2 + 295*h. Let l(z) = z**2 + 18*z. Let t(g) = -5*k(g) - 20*l(g). Find b, given that t(b) = 0.\nAnswer: 0, 367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*b*g*h**2*r**3 + 2793*b*g*h**2*r**2 - 2*b*h*r**2 + 97*g*h*r**3 + g*h*r + 2*h wrt h?\nAnswer: 4*b*g*r**3 + 5586*b*g*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1*1\/(-4))\/(4\/16). Put 5, 2, -1, c in decreasing order.\nAnswer: 5, 2, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q*q**(-1))\/(q**(-1\/3)*q)*(q\/(q*q**(-1)*q)*q)**(4\/43))**10 assuming q is positive.\nAnswer: q**(550\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**2 - 3*n - 4. Let x be m(4). Suppose x*z + 48 = 3*z. Suppose l - z = -1. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -122*x + 118*x + 4*y = -116, 4*y + 79 = -13*x - 54 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -10*h - 18. Let l(s) = s**2 - 21*s - 35. Let o(g) = 3*l(g) - 5*y(g). Let a(t) = -2*t**2 + 7*t + 8. Calculate 11*a(m) + 6*o(m).\nAnswer: -4*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, -16.9, -16\/9, 1.137, -0.1?\nAnswer: 1.137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1505047 + 6?\nAnswer: 1505053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*z + 6*z + z**4 - 9*z - 2*z**2 - 3*z**3 as v*z + t*z**4 + s*z**2 + j*z**3 + l and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 + 4. Let h = 13 - p. Let r = 18 - h. Solve t + r*k - 11 = -0*t, 4*k = 4*t + 28 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2010 (base 4) to base 7.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 7 = -5*v. Let x(l) = -l**2 - 1. Let m(c) = 21*c**2 + 2*c + 5. Let t(p) = v*m(p) + 4*x(p). Let s = -1223 + 1222. What is t(s)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23799 is divided by 184?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 93 + -71. Let a be (48\/560)\/(-2 + y\/10). What is the second biggest value in 1, a, 3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5026*d**2 - 5024*d**2 - 24 + 24.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-5*65\/50).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 185*o**2 - 3 + 6 + 794*o - 795*o - 2.\nAnswer: 185*o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 5, b: 2, w: 2}. Give prob of picking 1 w, 2 d, and 1 b.\nAnswer: 20\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*d = -7*d - 19*d - 99 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 252*x = 419*x - 835 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (236\/(-531))\/(4\/(-3))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 13*x + 219. What is n(-16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that 4*o**2 + 56*o - 288 = 0.\nAnswer: -18, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 387*l = 1653*l + 34182 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -145 divided by -1?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 67438645 a multiple of 632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**3 + 5*a**2 - 6*a - 8. Let x be c(-6). Does 9 divide (x + 20)\/((-2)\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + -1 - (5 - (1 + 3 + 9)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3 + (-185)\/75 - 2\/6. Which is smaller: 7 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 8520705, 17041230, 25561755, 34082280?\n\"Answer: 8520525*d + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 380338 is divided by 3657.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 278*l**4 - 651 wrt l?\nAnswer: 1112*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**3 + 4*i**2 - 32*i.\nAnswer: i*(i - 4)*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.1 - -0.4. Let n = 1\/104 - 5\/13. Which is the second smallest value?  (a) r  (b) n  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -58 - -137. Suppose -a - 5*q + 100 = 21, a - x = -q. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the second derivative of -8*f**4 + 2*f**3\/3 - f**2\/2 + 79*f. Find the second derivative of v(b) wrt b.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 171 and 172 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-25)\/9 + 4\/(-18). Let y(c) = 3*c**2 - 2. Calculate the remainder when y(3) is divided by (-1)\/(1*p\/39).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 71 = -0*u + 3*l, -l = 4*u - 83. Suppose -3*q + 4*h = -u, 2*h + 0*h = -2*q - 10. Let s = 1 - q. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12554 - l**2 + 46505 - 33951.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(242) + sqrt(242) + -3)**2.\nAnswer: -44*sqrt(2) + 969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 2*h**2 - 3*h + 8. Determine x(-5).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10028 and 3231040?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -11*u**4 + 9*u - 123 - 8*u + 63 wrt u.\nAnswer: -44*u**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2 + (-16)\/(-14))*(-49)\/35)\/(424137\/(-74410)).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1939, -15489, -52243, -123799, -241755, -417709, -663259?\n\"Answer: -1933*o**3 - 4*o**2 - 7*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3.218 and -750.\nAnswer: 2413.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 173\/30 - 37\/6. Let g = 271 - 220. Let m = -50.9 + g. What is the nearest to 2\/9 in 3, m, f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -0.1  (b) 159  (c) -5\/3  (d) -4\/7  (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-8)\/10 + (-1017)\/(-15)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2226\/(-583) - (-2)\/(-11). What is the third smallest value in 37\/3, d, 4?\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-8))\/(346\/2076*(-3)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 22125393\/3159 - 1\/(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/9101085 and -52\/35?\nAnswer: 9101085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 15, 2 in descending order.\nAnswer: 15, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/1*(154327\/194)\/(-43)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q + 2 - 1 - 3)*(-2983*q**2 - 2401*q**2 + 4054*q**2).\nAnswer: 2660*q**3 + 2660*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 8*l + 33. Let n be f(12). Let x = n - 65. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 423\/(-5170) + 0 + (-1)\/10?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -17*f + 15*f - 4*i + 18354, 5*f - 2*i - 45957 = 0. Is 68 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*o - 41*o + 2280. Let z be (-66)\/(-4)*16\/6. Let y = z - o. Solve 2 = -y*m - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 668\/34 - (-408)\/1156?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 + 1. Suppose -5*a - l - 6 = 3*q, 3*q - 2*a - 22 = 0. Suppose -4*u - 2 = 14. Sort q, u, 1.\nAnswer: u, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 40\/(-2) + (113 - 88). Solve -4*f + 4 = 3*q - w, 2*q - 26 = 4*f for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -15*d**2 - 12*d + 7. Let v(l) = -3*l**2 + 1 + 6*l + 0*l**2 + 10*l**2 - 4. Let f(p) = 6*b(p) + 13*v(p). What is the units digit of f(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1120 (base 4) to base 5\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 220721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.148 + 89.852. Let g = 85 - n. Let q = 482\/5 + -96. Which is the nearest to q?  (a) g  (b) 0.3  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2874097*l + 2*l**3 + 2875240*l + 2*l**3 to h*l**3 + p*l**2 + v*l + x and give v.\nAnswer: 1143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l - 2. Suppose 3*r + 6 = -m - 21, -5*r + 2*m - 34 = 0. Let a = 8 + r. Give y(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6067357?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6\/11, -3\/10, -6, 4\/15 in ascending order.\nAnswer: -6, -6\/11, -3\/10, 4\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the second derivative of q**6\/15 + q**5 + 2*q**4 - 58*q**3\/3 + 35*q**2 + 91*q - 3. Determine a, given that y(a) = 0.\nAnswer: -7, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2304 and 78768.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2752 - -2728. Put 0, 3, j in descending order.\nAnswer: 3, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the second derivative of 0 + 9\/20*o**4 - 7\/10*o**3 - 3\/5*o**2 - 4*o. Determine a, given that j(a) = 0.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 1)*(20*n**2 + 22*n - 22*n) + 5*n**2 - 4*n**2 + 2*n**2.\nAnswer: -17*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 210655021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 284 and 49132.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, w: 10}. What is prob of sequence hwhw?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35411053 + -2784169.\nAnswer: -38195222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 5467 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 286029 and 14823?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 340\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 4883953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 10*p = -128. Solve -b = 2*l - 2*b - 8, p = 4*l - 5*b for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 26\/117 - (-256)\/(-18). Let w(k) = k**2 + 12*k - 14. Does 14 divide w(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 - 751*d + 1512*d - 760*d.\nAnswer: d + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1667963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 5*f**2 - 7*f. Let v(m) = -2*m**2 + 3*m. Let p(x) = -6*o(x) - 14*v(x). Let d(y) = -26*y. Calculate d(p(j)).\nAnswer: 52*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -r - 4*r**2 - 228*r**3 - 3562*r**3 + 7*r**2 - 5*r**2.\nAnswer: -3790*r**3 - 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 19*r**2 + 6*r - 6. Let q(i) = 65 - 95*i - 208*i**2 - 146*i + 176*i. What is -6*q(c) - 65*u(c)?\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 204 - 200. Suppose -5*c + 175 = 5*n, 3*n - 140 = -0*n + l*c. What is the greatest common factor of 24 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes before 8:50 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 times 2302?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -606*n**3 + 596*n**3 + 8*n - 9*n + n.\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -6\/11, -68, -3, 11\/5, 0.5 in descending order.\nAnswer: 11\/5, 0.5, -6\/11, -3, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r - r + 3*r)*(4*r - 3*r - 6*r)*(3 - 5 + 3).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-1\/3)*m*m)**(-4\/21)\/((m*m*m*m**(-2\/3))\/(m\/((m*m**(-4\/9)\/m*m)\/m)*m)))\/((m**1)**(-4\/5)*(m**0)**(-37)) assuming m is positive.\nAnswer: m**(187\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y. Let f(i) = i**2 + 3*i - 2. Let v be f(-4). Let t(w) = 4 - 4 + 4*w + v*w. Determine t(q(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1432 + 1429 = 3*u. Let t be -3 + 9 - (10 - (u - 0)). Let a(x) be the second derivative of x**5\/20 + x**4\/4 - 7*x**3\/6 + x**2 - x. Calculate a(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f - 12 = -3*g, 14169*f = 14162*f - g - 36 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the third derivative of -p**6\/120 - p**5\/15 - 5*p**4\/24 + 2*p**3\/3 - 2*p**2. Let b = -3 - 3. Is r(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 2*c - 9. What is the units digit of (4 + -6)*(-2)\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 3*w - 18 = 0. Suppose -3*u - 2*q + 82 + 31 = 0, 4*u = 5*q + 120. Calculate the remainder when 4\/w - (-925)\/9 is divided by u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 7668*t**3 - 48*t**2 - 3*t + 3. Let i(l) = 7670*l**3 - 42*l**2 - 4*l + 2. Let d(m) = -4*i(m) + 3*q(m). What is the third derivative of d(v) wrt v?\nAnswer: -46056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -108*i + 111*i = 2*t + 33, -i = -15*t - 269 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j - 21. Determine g(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -413, -5, 532 in ascending order.\nAnswer: -413, -5, 532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 36 and 348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -5*y**3 - 3*y**2 - 6*y - 4. Let i be f(-1). Factor -14*u**5 + 12*u**5 - u**i + 13*u**4.\nAnswer: -2*u**4*(u - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -147 - -147. Solve l = -0*r + 4*r + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*t - 225 = 19*t. Let a be (2\/(-3) + (-30)\/t)\/1. Suppose 5*v + h - 130 = 4*h, v + h - 26 = a. What is the remainder when v is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(4*-2*sqrt(7) - sqrt(7)))**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 74 a factor of 792178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 19.4 + -4.9. Let z = -14.69998 + 0.19308. Let n = d + z. Round n to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 477 = 4*s, -5*s - 109 = -3*a - 685. What are the prime factors of s?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*v - 4 - 6. Let y = 1193 - 1192.862. What is the nearest to -1 in y, -2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.22?  (a) 1\/3  (b) -2  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01722611144 rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -3\/2, -1\/5, -5\/8?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 - -4. Let q be 2\/(-4)*-7*p. Suppose -3 - q = -2*b. Let d(o) = -o**2 + 4*o - 2. What is d(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2339 - 1297. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q + t - 21, -2*t - 6 = 4. Let k = q + 1. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5874109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-eight fifths of a microsecond in nanoseconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -7672, -15672, -23694, -31744, -39828?\n\"Answer: -f**3 - 5*f**2 - 7978*f + 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -1120975 to the nearest ten thousand.\nAnswer: -1120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11 or 12601\/1259?\nAnswer: 12601\/1259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -0.0311*-1\nAnswer: 0.0311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is ad + -1?\nAnswer: ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -55 + 61. Suppose 3*v + v = 3*m + 26, 0 = 2*m + 2*v - 6. Let a be m\/4 - 15\/(-6). Is a at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 479870492?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 2, u: 3, o: 1, z: 1}. What is prob of picking 1 u, 1 o, and 2 b?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggnbeneebgegvvgveg. What is prob of sequence gbvv?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b = -4*b - 40. Suppose 2*d = -3*d + b. Let j(u) = -u**2 + 3*u - 1. What is j(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5478227000 to the nearest one million.\nAnswer: -5478000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-3)\/(-2))\/(332\/64 - 5). Solve j = 3*t - 2*k, -3*t - 4*k - k = -1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2662 - 1604. What are the prime factors of k?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 560 = 3*w + 5*c, 190 = -w - 4*c. Let t = w + 274. List the prime factors of t\/12*(-6)\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**3 - 5*z**2 + 5*z - 2. Let a = 58 + -28. Let g = 557 + -521. Let v = a - g. Give h(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 216*v + 1. Let z be n(1). Let r(q) = 3*q - 13. Let h be r(6). Suppose h*g = z - 42. What is the highest common factor of 5 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1384 is divided by (-1)\/(-7) + (-511497)\/(-1127)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 3*g + 43. Let o be t(-15). What is the smallest common multiple of ((-2)\/(-4) - o)*558\/31 and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**3 + 6*n**2 + 2*n + 1. Let c(x) = -3*x**3 - 17*x**2 - 6*x - 3. Suppose -2*d + 6 = d. Suppose 2 = -d*g - 2. Let f = -4 + g. Give f*c(i) - 17*w(i).\nAnswer: i**3 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 95 and 874?\nAnswer: 4370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8 - 14. Let l be 6\/15 + b\/(-60)*-2. Which is greater: l or -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.6*-1659.\nAnswer: -995.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.12705 times 0.89?\nAnswer: 0.1130745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**3 - 12*z**2 - 7*z + 48. Let d be c(14). What is the greatest common factor of d and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*w - 3*w - 15. Let q be (0 + 5)*(-11)\/w + 1. Let o be 2*(15\/(-10))\/((-9)\/q). Solve -8 = -o*s - 3*n, -5*n + 8 = -3*s - 15 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-11 - 1 - 1)*(2*m - 2*m + m**2) as v*m + i*m**2 + r and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*v + 138 = 1944. Sort v, -2, -5 in descending order.\nAnswer: -2, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.94379 - 42.05826. Let y = 149 - 106. Let z = p + y. What is z rounded to 4 dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + 0 + -2 + 52 + -54?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v**2 + 6*v - 1. Let b be f(4). Suppose -b = 2*x - 25. Suppose 12*d + 141 = x*d. Which is bigger: -46 or d?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/22 - (-68)\/(-11). Let u(k) = k**2 - 3*k + 7. Suppose 3*d = 23368 + 6008. Let b(c) = -4896 + d - c**2 + 3*c - 4904. Calculate s*b(y) - 7*u(y).\nAnswer: -y**2 + 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 3*k**2 + 7*k - 3. Let n(o) = -4*o**2 - 7*o + 3. Let c(q) = 5*i(q) + 4*n(q). Let d be c(6). Let g be 3\/((-3)\/(-4) - 0). Solve 0 = -d*w + 1 - g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 4*f + 6. Let v = 2 - f. Let a(q) = q. Let i be a(-3). Put 2, v, i in decreasing order.\nAnswer: v, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0277258 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 13690031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -3*q**3 + 19*q**2 + 104*q - 826. Calculate r(8).\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -115218 by 50.\nAnswer: -57609\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/7 + 0*g - 1\/7*g**2.\nAnswer: -(g - 1)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o + 18. What is the remainder when 27 is divided by w(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 54263342?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n**2. Let p(z) = -20*z**2. Let b(r) = 25*o(r) + p(r). Let i(v) = -4*v. Calculate i(b(j)).\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1314248 is divided by 119?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 238 and 860846?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**3 + 7*d**2 - 3*d. Let k be x(7). Let r be 90\/21 + 6\/k. Suppose -5*w + 70 = 2*o, w + r*o + 70 = 6*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1078*o + 6720 + 10528 = 0 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 5\/(5\/6) - (-27 - 5)\/(-8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -36 + (-13 - -32) + (1 - -1 - -2)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (-4 - (-2 + 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 5 + 0 = 0. Let z be (-18)\/(-10) - 1\/t. What is the second derivative of -s**5 + 4*s**5 - z*s - s wrt s?\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 197 minutes after 10:44 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-14)\/91 - (-108)\/26. Sort -1, c, -5 in decreasing order.\nAnswer: c, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -30013 - 2*c**3 - 126*c**2 + 30013 + (4*c + c - c)*(-7*c**2 + 3*c**2 + 5*c**2) to z + s*c**3 + y*c + v*c**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1504\/(-94))\/112*-469?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5d9b620 - 2?\nAnswer: 5d9b61d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the first derivative of 31*k**4\/4 - k**3\/3 + k**2\/2 + k - 2. Suppose 8 = 5*v - v. Is l(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from jmmunwmwwmmummwjumu.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 13743 + -13734. Solve t + 3*b = -10, -b + 4*b = -n for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 4 - 25)*(-1 - 3*p + 1).\nAnswer: 57*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -6*q**2. Let z(m) = 31*m**2 + 7*m. Let r(f) = 11*f**2 + 2*f. Let c(p) = 10*r(p) - 3*z(p). Calculate c(g(k)).\nAnswer: 612*k**4 + 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -291 + 292. Is (-12490)\/(-1 + -4) - g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.117 and 5?\nAnswer: -0.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3583 is divided by 898?\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 2) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = -2*u + 14. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -45 - -5 - (1000 + -1089)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -8813194 divided by -204958?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9055*l + 149*l**2 - 9055*l)*(-6 + 2 - 1).\nAnswer: -745*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 16*y + 13*y = -82, -4*y = -5*b + 182. Let a be -2 + (-2)\/1 + 122\/3. Which is greater: b or a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2590 or 2149?\nAnswer: 2149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*u - 870*u**2 - 876*u**2 - 1345*u**2 + 3969*u**2 - 875*u**2 - 2*u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 172283.\nAnswer: 172283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, v: 12}. What is prob of sequence bv?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 511621*r - 511621*r - 3*r**3 - 3.\nAnswer: -3*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 691 a factor of 46603433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes after 2:56 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20)\/42 - 6\/(-18)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4521979 divided by -411089?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wlwl when four letters picked without replacement from llwllwl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*a - 5532 - 10*a + 29*a.\nAnswer: 38*a - 5532","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 2*b**3 - 1 - 2*b + 1 + b**2 to z*b**2 + y*b + o + k*b**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-20)\/4 - 24\/16*-4. What is the fourth biggest value in n, -1\/3, -0.006, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**3 - 13*r**2 - r - 6. Let q(m) = -10*m + 7. Let t be q(2). Let a be o(t). Let x(u) = 2*u - 9. Give x(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*p**4 - 28*p**3 - 104*p**2 + 28*p + 102 = 0. Calculate p.\nAnswer: -3, -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -981*l - 976*l - 933*l + 3*l**2 - 979*l + 3869*l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the first derivative of -5*q**3\/3 + 4. Let o(n) = n**2. Determine g(o(h)).\nAnswer: -5*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11 - -13. Suppose -l = 3*o - o + 2, b*l = 4. Is 47 + 2 - (-6)\/o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 28231*f**5*o - 2*f**4*o - 3*f**3*o + 3*f**2*o - 2*f*o + 2*f - 2*o - 690 wrt f.\nAnswer: 1693860*f**2*o - 48*f*o - 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 186 (base 14) to base 12.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the third derivative of 0*n**3 - 1\/300*n**6 + 17*n**2 + 0*n - 1\/30*n**4 + 2 - 1\/50*n**5. Determine i, given that v(i) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1573581 divided by 3.\nAnswer: -524527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1122012002212 - -202020?\nAnswer: 1122012212002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 226299 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**2 - 611*j - 32558. Determine y(-49).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/z**(-1))\/z)\/z)**(-44) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 15 + -9. Let k(p) be the second derivative of p**4\/6 - 2*p**3\/3 - 2*p**2 - 2*p. What are the prime factors of k(x)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -x, -1 = -5*a + 4*x - 15. Let y(l) = -2*l + l + 2*l - 5 - 2*l. Let g be y(0). Sort 8, a, g in decreasing order.\nAnswer: 8, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13670 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the second derivative of 1\/15*i**3 - 5 - 34*i - 1\/30*i**4 + 2\/5*i**2. Factor p(g).\nAnswer: -2*(g - 2)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/7 - 696586\/(-252). Let l = n + 27929\/9. Let j = -5885 + l. Calculate the common denominator of -6\/11 and j.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -m - 969, 3*m - 175 - 471 = -2*p. What is the tens digit of p + 3 + 1 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + 335240327771.1?\nAnswer: 335240327778.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(44) + (sqrt(4400) + -1 - sqrt(4400) - sqrt(4400) - sqrt(4400)))**2.\nAnswer: 76*sqrt(11) + 15885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes before 10:39 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 471217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - (1 + -5) - 52) + (15 + 28 - 51)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the first derivative of -c**3\/3 + 7*c**2\/2 - 5*c - 1. Let j be o(6). Suppose 2*y = 1 + j. What is the remainder when 3 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ssks when four letters picked without replacement from {k: 2, a: 1, s: 4, t: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -12*n*x**4 + 15*n*x**3 - 3*n*x**2 - 44559*n*x + 7*n + 164357*x**4 + 31 wrt x?\nAnswer: -288*n*x + 90*n + 3944568*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*n**2 + 165*n - 188?\nAnswer: 4*n + 165","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 37442160 divided by 24?\nAnswer: 1560090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the first derivative of -t**2 + 0*t**2 - 1 + 0*t + t - 8*t. Let w be n(-5). Solve -4*x = -w*x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(112) + sqrt(112) + -3*(-2*sqrt(112) - sqrt(112)))\/(sqrt(288) - -2*sqrt(288) - sqrt(288)))\/(sqrt(968)*1 + sqrt(968) + (2*sqrt(392) - sqrt(392))).\nAnswer: 11*sqrt(7)\/696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**3 + 8*p**2 - p + 4. Let t be j(8). Let f be (-5 + -16)*t\/6. Let b be ((-10)\/(-8))\/(-1) - -1. Which is greater: b or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -130987 or -130988?\nAnswer: -130987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 1022210022001 (base 3) to base 9\nAnswer: 1283261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the third derivative of -z**7\/42 + 11*z**5\/6 - 721*z**4\/6 + 5*z**2 + 38*z - 3. Find the second derivative of a(j) wrt j.\nAnswer: -60*j**2 + 220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 47612 divided by -27\nAnswer: -47612\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 194427021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/13, -47, -7, 2\/11?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -r + 1156*r**3 + 7*r - 5*r - 2*r.\nAnswer: 1156*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -49, -73, -123, -211, -349, -549, -823?\nAnswer: -1183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.0918 + -0.10615. Round v to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1107698 rounded to the nearest 1000?\nAnswer: -1108000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -2\/19187?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the third derivative of 3*x**7\/70 - 13*x**6\/20 + 13*x**5\/5 - 3*x**4 - 211*x**2. Factor w(n).\nAnswer: 3*n*(n - 6)*(n - 2)*(3*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-6)\/(-9))\/((-50)\/45). Put -0.5, j, -1 in descending order.\nAnswer: -0.5, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 34, 4.\nAnswer: -6, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**2 - 4*l - 7. Let g be k(5). Let w = 177 - 173. Sort w, -2\/9, g.\nAnswer: g, -2\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-1\/2))**11*f**(-9)*(f\/(f*(f*f*f**8)\/f))\/f)\/(((f*f**(4\/5))\/(f**(2\/21)\/f))\/(f\/(f*f*f**(-3\/7))*(f**(6\/11)*f)\/f)) assuming f is positive.\nAnswer: f**(-62903\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*u = 2*u - u + 18*u. Let i be 0\/(1\/(0 + 1)). Suppose i*y**4 + u + 0*y + 0*y**2 - 1\/4*y**5 + 0*y**3 = 0. Calculate y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4 + 35)\/(((-48)\/9)\/(-16)). Put k, 1, 6 in descending order.\nAnswer: k, 6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -100 + -133?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**3 - j. Let s(x) = -14*x - 14*x**3 + 6*x**2 - 6*x**2. Let p(a) = s(a) - 10*y(a). What is the second derivative of p(h) wrt h?\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -45*h**3 - 3*h**2 - h + 1. Let c be x(-1). Suppose b - 111 = -3*u, -b + 3*u + c + 67 = 0. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -67*r - 2*r**2 + 70*r - 13*r**2 in the form x*r + y*r**2 + o and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b + 31 - 41, 0 = 2*m - 3*b - 7657. What is m rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5\/4, -3, -976045, -1\/6?\nAnswer: -976045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 69189971527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -121.2379 + -367963.1.\nAnswer: -368084.3379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**3 + 7*m**2 - 5*m - 4. Let n be z(6). Suppose 3*o - 23 = -5*c, 2*o + 7*c = n*c + 17. Let d(v) = v + 0*v - 10 + 0*v. Determine d(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 20 = -6*t, -5*t - 24 = -c. Suppose c*w = w - 12. Let a(g) = 2*g. Let q(n) = 2*n. Give w*a(v) + 5*q(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 597649704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**2*n**(1\/3)*(n**0)**15)**(-2\/5) assuming n is positive.\nAnswer: n**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 191778 is divided by 1728?\nAnswer: 1698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 235 divided by -1\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 89780.65 millilitres to litres.\nAnswer: 89.78065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3 + -1)\/(1\/(-7)). Let f = -54 + 56. Find the first derivative of u**2 + u**f + o - 34 wrt u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 222 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 31 - (-30 - -55 - 4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 p when three letters picked without replacement from hhhphppphhhp?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 10*x**2 + 38*x**2 + 13*x**2 - 6*x**2. Let o(z) = 299 - 299 - z**2. What is o(n(d))?\nAnswer: -3025*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -527*k + 523*k. Let t = 21.59 + -21.7. Which is the biggest value?  (a) 0.1  (b) k  (c) t  (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the third derivative of 1\/15*h**5 + 0*h + 0*h**6 + 0*h**3 + 0*h**4 + 0*h**7 - h**2 - 5\/336*h**8 + 0. What is the third derivative of k(y) wrt y?\nAnswer: -300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -40*d + 2584. What is q(40)?\nAnswer: 984","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1, 66, 3, -367?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -49.87 + 50.37. What is the fourth smallest value in -10, 2.4, x, 1.2?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14, 13, 12, 11, 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*y**2 + 1 - 1)*(46109 - 5*y**2 - 46094 + 12*y**2) - y**2 - 2*y**4 + y**2 to the form k + h*y**3 + g*y**4 + d*y + u*y**2 and give u.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x\/x**(-2\/11)*x*x*x**(1\/12))**(-2\/97) assuming x is positive.\nAnswer: x**(-563\/6402)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 176 and 110?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-1 + 2*(-4 + (sqrt(68) - (4*(sqrt(68) + sqrt(68) + 1) + sqrt(68))))**2 + -5).\nAnswer: -17652 - 1024*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000060115445 to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(66)*-1 + sqrt(66))*2)\/((sqrt(60) - (sqrt(240) + sqrt(60)) - sqrt(60))\/sqrt(10)) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(120) - sqrt(120)*2 - sqrt(120))\/(sqrt(12)\/sqrt(2)*-6)*-4*4)**2.\nAnswer: 5120\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(432) - -1*sqrt(432)*5)**2 + -5.\nAnswer: 15551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -6807800 to the nearest one hundred thousand.\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 40 - 54 = 0. What are the prime factors of u?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 89220 = -5*k, 1284 + 87908 = 4*f + 2*k. What is f rounded to the nearest one thousand?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1060954, 1060922, 1060890, 1060858, 1060826, 1060794?\n\"Answer: -32*i + 1060986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3075?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -275\/6 - -46. Let s = 34.42 - 34. Let f = s - 0.12. Put 0.5, d, f in descending order.\nAnswer: 0.5, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (-3*sqrt(112)*-1 - sqrt(112) - (2 + sqrt(112) + (sqrt(112) - (sqrt(112) + 2)))) + -1*sqrt(112)*1 + sqrt(112) + 1*(sqrt(112) + -2 - sqrt(112)))**2.\nAnswer: -16*sqrt(7) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5185946 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55820436?\nAnswer: 2, 3, 7, 664529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 2*r - 4. Let s be t(2). Suppose s*z + 3*z = 0. Solve -3*o + 7*o + 12 = z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 120 and 1380?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s = 20*q - 23, -5*q - 1690 = -9*s - 1668 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 - -7. Suppose r*u - 13 + 7 = 0. Suppose k + u = 4. Which is smaller: k or 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -10487, -20968, -31459, -41966, -52495, -63052, -73643?\n\"Answer: -r**3 + r**2 - 10477*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 278 or 277?\nAnswer: 277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 7) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -45, 0.3, 0.2, 2\/11, 0, -2\/329 in increasing order.\nAnswer: -45, -2\/329, 0, 2\/11, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 68 = -2*t. Let b = t + 19. Solve 3*h - 1 = -4*f + 2, -b*f + 3 = 3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 8  (b) -3.3  (c) -0.4  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 14\/3?  (a) 13  (b) -5\/6  (c) -8  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (60060\/(-242))\/21 + 4\/(-22). What is the third biggest value in -3\/8, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p - 168327 + 168319 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1187538 (base 10) to base 3.\nAnswer: 2020022222220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k**3 + 30*k**2 - 146*k + 50. Calculate o(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 22*q + 5. Let v be t(-4). Let g = 117 + v. Is g a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**2 + 4*h - 7. Let l be x(-6). Let u = 471\/7 + l. Factor 0*w + 0*w**2 + 0 - 2\/7*w**3 - u*w**4.\nAnswer: -2*w**3*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) 4  (c) -0.04  (d) -5\/184  (e) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -326, -9 in decreasing order.\nAnswer: 2, -9, -326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.05 + 0.35. Let v = 0.96 - -0.04. Let t = 10 - 15. Which is the nearest to v?  (a) t  (b) 0.1  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20\/(((8\/5)\/(-2))\/((-346)\/(-865)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m = -5*w + 16, -3*m + 11 - 2 = 3*w for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-21 + -3)\/4 - (24 - 35). Solve -h*k - 25 = -2*g + 4*g, 3*g = -4*k - 27 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 378871 and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.3725 to two decimal places.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 13455 (base 7) in base 15?\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -464 - -975. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-17)*f\/f**12)**12 assuming f is positive.\nAnswer: f**(-336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 2275 (base 14) to base 9\nAnswer: 8177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m + 3, -6*r = -r - 3*m - 34500003. Suppose -t - 3*n = r, 0*n + 5*n + 20700000 = -3*t. Round t to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 291068742 to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 24 = 9*x. Which is the closest to x?  (a) -0.3  (b) 3  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9894488231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 91197805?\nAnswer: 5, 73, 249857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (1*(-2)\/8)\/((-23)\/92)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -790 - -517. Let w = z - -177. What is the smallest common multiple of ((-2)\/(-4))\/((-3)\/w) and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 272 and 101898.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 20655 (base 9) in base 12?\nAnswer: 7aa2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the third derivative of 0*k**3 + 0*k + 1\/35*k**7 + 0*k**6 + 0*k**4 + 17*k**2 + 0 - 23\/60*k**5. Find the third derivative of l(f) wrt f.\nAnswer: 144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jjr when three letters picked without replacement from {f: 2, b: 6, r: 6, p: 2, a: 1, j: 3}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 18*l**2 + 4*l + 4. Let v(o) = -40*o**2 - 9*o - 9. Let m(u) = 9*b(u) + 4*v(u). Let q(k) = 73*k**2 - 28*k**2 + 20*k**2. What is m(q(i))?\nAnswer: 8450*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the third derivative of 0*t + 133\/24*t**4 - 120 + t**2 + 9*t**3. Differentiate r(g) with respect to g.\nAnswer: 133","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 5) + 1 + 5 - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the first derivative of -k**4\/2 + 4*k + 22. Let v(c) be the third derivative of -c**6\/120 + c**3\/6 + c**2. What is -4*v(m) + x(m)?\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**0)**(-1\/16)\/(j\/j**(-2\/9)*j**(2\/5)\/j)*(j**(2\/7)*(j\/(j\/j**(-1\/10))*j)\/j*j)\/((j*j**(2\/7)*j)\/j)**2 assuming j is positive.\nAnswer: j**(-253\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o - 955855*f + 955860*f - 60 = 0, -2*f + 24 = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -23*c**2 - 138*c**2 + 178*c**3 - 45*c**2 - 69*c**2 wrt c.\nAnswer: 1068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1964497*t - 7 - 1965139*t + 21)*(2 + 1 - 4).\nAnswer: 642*t - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 665*g**3 - 3*g**4 + 214*g - 684*g**3 + g**4 - 323*g + 2*g**2 + g**4 to y*g**4 + b*g + t + h*g**3 + v*g**2 and give b.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (-5 + 2 + sqrt(2299) - sqrt(2299) - sqrt(2299) - ((sqrt(2299) + 1 - sqrt(2299))*-4 + sqrt(2299) + sqrt(2299) + sqrt(2299)))*-5 + 1)**2.\nAnswer: 919600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4*(-27)\/(-120))\/(72\/30).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (-2 - -1) - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:27 AM and 6:58 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(8\/(-6)))\/(4\/96*-6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -252 - -330. Let x = -1012\/13 + o. Is x > 2\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -4*n - 4. Let t be i(9). Let z be (5 - (-3 + 6)) + 43. Let l = z + t. Solve l*m - 5 = 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/7, 0.51, 2\/13, 4 in descending order.\nAnswer: 4, 0.51, 2\/13, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 11 - 19. What is the highest common divisor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -13*n**3 - 4*n**2 + 9*n + 5. Let r be (105\/(-18) - (-20)\/24) + (-4)\/1. Let b(o) = 3*o**3 + o**2 - 2*o - 1. What is r*b(z) - 2*g(z)?\nAnswer: -z**3 - z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*o - 2*o**5 + 2*o + (0*o + 0*o + o**4)*(0*o + 2*o - o) + 2*o**5 + 0*o**5 - 4*o**5 + o**5 - 5*o - 5*o - 5*o.\nAnswer: -2*o**5 - 15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1212196 is divided by 293.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11724, -23454, -35184?\nAnswer: -46914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 21288.81634 - 21289. Let a = 0.184 + y. Round a to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pppj when four letters picked without replacement from {p: 3, j: 11}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((sqrt(52) - sqrt(4212)*2) + (sqrt(6292) - 1*sqrt(6292)))**2.\nAnswer: 15031","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24941032?\nAnswer: 2, 43, 72503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -459*i**2 - 11920*i + 352. Give h(-26).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t*t**(-1\/3))\/t*t**(1\/2)\/t)\/(t**(-1\/2)*t*t\/(t\/((t*t**(-2))\/t))))**(-1\/27) assuming t is positive.\nAnswer: t**(-5\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -6 + 36*b - 79*b + 44*b. Let y(s) = -3*s + 13. What is -5*r(j) - 2*y(j)?\nAnswer: j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 93\/88 and ((-5)\/(-60))\/((-36)\/690).\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2237, 0, -2, 25 in decreasing order.\nAnswer: 25, 0.2237, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the third derivative of 0 - 13\/60*d**5 + 0*d**4 + 0*d**3 + 0*d + 2*d**2. Let z(p) = 2*p. Calculate o(z(x)).\nAnswer: -52*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -13 <= 668?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -3*u. Let l(p) = -p**2 - p + 17. Let y be l(-5). Give m(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 25*p + 55. Let s be r(-2). Let d(b) = -b**2 - 15*b - 19. Let g be d(-11). What is the highest common factor of g and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 45480, 45481, 45482, 45483, 45484, 45485?\nAnswer: 45486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5\/39 + 29\/78. Let v = 9 + -37\/4. Which is the closest to -1?  (a) v  (b) -5  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 170 + -165. Let d be ((-2)\/u)\/((-328)\/(-20)). Are d and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 115 by 5.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 127858429.\nAnswer: 19, 83, 81077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 377954388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + b**3 + 2)*((0 + 3 - 4)*(b - b + b) - 48*b + 0*b - 10*b) to the form w + s*b + q*b**4 + y*b**2 + v*b**3 and give q.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes before 2:02 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.39650242 - 0.39686. Round c to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1505557 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 2968cb (base 15) to base 4\nAnswer: 13213131020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**3 + 8*h**2 + 11*h - 10. Let q be x(-4). Let t(y) = 3*y**3 - 10*y**2 - 28*y - 13. Is t(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22553215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 956343\/2*z**2 + 954271*z + 1907161\/4 + 691*z**3 + 1\/4*z**4 = 0. What is z?\nAnswer: -1381, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1129*g - 4307*g + 12914 + 206368 = 0 for g.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (2\/33)\/((18\/243)\/(1\/(-9)))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + f = -6. Solve 4*s + 2*p + 18 = 0, 3*s = p - 4 + f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3621*i**3 + 2429*i**3 - 482*i + 480*i in the form n + j*i**3 + g*i**2 + u*i and give j.\nAnswer: 6050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*f**3 + 3*f**3 - f**3.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -67708414, -135416826, -203125238, -270833650, -338542062?\n\"Answer: -67708412*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 + -5 + 3 + 10 + -5 + -1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 36666 by -3.\nAnswer: -12222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -2*g**2 + 5 - 3*g**2 - 10*g + 4*g**2. Suppose -r + 22 = -4*a, -72 = 1918*r - 1914*r + 4*a. Give n(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 18 = -6*h. Let x(g) = 507*g + 500*g - 1007*g + 7*g**2 - 96*g**3 - 338*g**3 + 4. Let v be x(h). Round v to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 - -4. Suppose 5*q - 81 = -4*q. Suppose 0 = m - 11 + q. Put m, -3, f in descending order.\nAnswer: f, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5 and -0.02002?\nAnswer: 0.1001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a tonne in kilograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 2*a - 36 = 0, -48*t = -50*t - 2*a + 14. Is -150 >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 206690*m**2 - 58*m - 888. Let l be a(-31). Round l to the nearest one million.\nAnswer: 199000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6)\/(-3) + (0 - 2). Suppose t - 4 = -y*t. Suppose -t*u + 12 = -0. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pew when three letters picked without replacement from {m: 1, f: 2, e: 2, p: 5, w: 1, u: 6}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 0.3, 3\/2, 166874, -5, -4\/3, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1965 and 96276485.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 209*l - 4385. Let a(u) = u - 5. Let d be a(4). Let i = 3 - d. Calculate the least common multiple of f(21) and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*c + 50*c = -28 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5\/108763 or 1?\nAnswer: -5\/108763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 365785513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 35730102 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -715 + 31192. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand l**2 + l**5 + l**2 - 6*l**2 + (1 + 2*l**5 - 1)*(1 - 3 + 0) + 4*l**5 + 0*l**5 - 3*l**5.\nAnswer: -2*l**5 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -99476*b**2 - 20*b**3 - b**4 + 99477*b**2 + 6*b + 0*b**4 in the form d*b**4 + h*b + v*b**2 + l*b**3 + p and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*g + 9*g - 4*g + 3*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 252564 and 624.\nAnswer: 1010256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/8, -1, -0.2, -10, -448 in descending order.\nAnswer: 3\/8, -0.2, -1, -10, -448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -101*p + 215. What is c(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**2 - 3*p - 1. Let i be s(-2). Let a be (0 - i)*(-2 + -3). Suppose -24 = -a*m + 91. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.009 + 0.012. Round n to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4.06 - 0.06. Let y = -0.298 - -2.298. What is the third biggest value in 11, p, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 - 0.1. Suppose 3*x + 19 = -2*a, -16 = -4*x + 6*x + 3*a. Is x greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 838 + -97.8600139\nAnswer: 740.1399861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the second derivative of -o**4\/12 + 2*o**3\/3 + 3*o**2\/2 + o. Suppose 19 = 5*j - z, -3702*z = -2*j - 3698*z - 14. Give y(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-20)\/56*4)\/((-118)\/413). Solve -9 = l*m + 5*f + 6, 0 = 3*m - 2*f - 21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.0242 - -0.0242. Which is the third smallest value?  (a) -1408  (b) -2\/3  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 103, -1, -4 in descending order.\nAnswer: 103, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add 66.9 and -0.08.\nAnswer: 66.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2661667109?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -22 + 16. Let n be 3\/a - 13\/(-2). Let o be 49 - (-1 + 2 + 0). What is the greatest common factor of n and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {u: 1, s: 17}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -5*z - 105, -19 = -4*f - 5*z + 20. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(104) - (sqrt(104) - ((sqrt(104) - sqrt(104)*-2) + sqrt(104)))*-4) + 3*sqrt(104)*-1)\/(5*sqrt(8)*3*-4).\nAnswer: 7*sqrt(13)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -632332, -2529303, -5690920, -10117183, -15808092, -22763647, -30983848?\nAnswer: -40468695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 4*q**2 - q**2 - 5 + q - q**2 - 5*q. Is 25 a factor of t(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 576 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*g**4 + 30*g**3.\nAnswer: -5*g**3*(g - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 87*s - 13570. Give i(156).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**2 - 23. Let d(k) = -11*k**2 - 376*k - 5. Determine d(p(s)).\nAnswer: -11*s**4 + 130*s**2 + 2824","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2 + 2)*66\/8. Suppose 0 = -0*c + c - n. Solve -2*o - 17 = 5*l - 4*o, -5*l - c = 2*o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 41360625?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y + h = y + 4, 10 = -5*y + 3*h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, -25, 3 in decreasing order.\nAnswer: 3, -14, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*z**2 + z**3 - 3*z**2 + (-1 + 2 + 0)*(0*z**2 + z**3 + 0*z**2).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve h + h + 69*a = 5*h + 72*a + 144, -294 = 3*h + 33*a for h.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.0258 and -1.3.\nAnswer: -0.03354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c + 5. Let m be i(-5). Put 8, -5, 2, m in ascending order.\nAnswer: -5, m, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 976 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 639647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 + -123032010011?\nAnswer: -123032010020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, 13, 217, -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 22409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 170186*1\nAnswer: 170186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the second derivative of -7*w**6\/15 - 18*w**2 + 26*w. Differentiate r(n) with respect to n.\nAnswer: -56*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**2 - z. Let y(x) be the third derivative of -x**6\/40 - x**5\/15 + x**4\/4 - 16*x**2. Calculate -6*g(h) - y(h).\nAnswer: 3*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((30\/(10\/25*-95))\/(-3))\/(1\/2).\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = 4*h + 142, -17*h + 22*h - 22 = -y. Solve 0 = y*u + 31*u - 219 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-2\/9))**(-47))**(37\/4)\/((t\/((t\/((t\/(t**(-4)*t))\/t))\/t)*t\/(t\/t**(2\/17)*t))\/(t*t**(3\/2)*t*(t*t**(2\/29))\/t*t)) assuming t is positive.\nAnswer: t**(435103\/4437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 5*f**3 + 7*f**2 - 12*f - 9. Let s(a) = -a**3 + a + 1. Let m(y) = -q(y) - 6*s(y). Let z be m(6). What is the units digit of 20\/5*(z + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 5*o = 16. Suppose -5*v - 5*k = -4*v - 5, -3*v = -k + 1. Suppose 5*u = -26 + 41. Sort v, o, u.\nAnswer: o, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.7728 - -0.0728. Which is bigger: 7 or y?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - z - 71 = -2*i, -91 = -3*i + 5*z. Solve 5 = -n + 3*j, 3*j + 3 = -5*n - i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 144 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -19992 - 39957\nAnswer: -59949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -20400342 by 6.\nAnswer: -3400057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, k: 6}. What is prob of picking 2 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**3 - 64*n**2 + 238*n + 118. Let i be h(60). Which is the closest to 0?  (a) -3  (b) 2\/11  (c) -16  (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -39757*i - 8452.\nAnswer: -39757","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -18*t**3 + 95*t**2 - 91*t. Let w be m(4). Suppose -4\/3*c**4 + w*c**3 + 32\/3 + 8\/3*c**2 - 16*c = 0. Calculate c.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 21135 - 21130. Let q(w) be the first derivative of 39 + 5\/2*w**2 - z*w**3 + 15*w - 5\/4*w**4. Factor q(g).\nAnswer: -5*(g - 1)*(g + 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2761 divide 273066566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 576173\nAnswer: 2\/576173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12041*s = -11985*s - 219744. List the prime factors of s.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2842?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 122780 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 30496125?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s\/(s\/s**(-12))*s*s**1 assuming s is positive.\nAnswer: s**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + m)*(-12 + 7 - 33).\nAnswer: -38*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100 - -1010001100000010001001100000?\nAnswer: 1010001100000010001001011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-1\/26)\/(i\/i**(-8)))\/(i\/((i**(-1\/11)*i)\/i))**46 assuming i is positive.\nAnswer: i**(-16937\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -91*a - 2159. Let g be o(-25). Let k = -221 + 321. Let c = g - k. Solve -4*v - 5*n - c = -v, -2*v + n + 11 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.36  (b) 5  (c) -8  (d) -2  (e) -2\/21  (f) 475\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3.725 + 2.725. Sort 6, 43, p.\nAnswer: p, 6, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 5*t + 4 = -4*k, -24 = -2*k + 5*t. What is the third derivative of -g**2 - 2*g**2 + 6*g**4 - k*g**4 wrt g?\nAnswer: 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the first derivative of 0*m + 3\/2*m**4 - 9 + m**3 + 0*m**2. Find the third derivative of y(q) wrt q.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 100*o + 17*o**2 + 3 - 3.\nAnswer: 17*o**2 + 100*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6.85 - 0.15. Let a = m - -8. Sort a, 2, 5 in descending order.\nAnswer: 5, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -143340 = -29*k - 13*k - 148254 for k.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 381 - 75 = 2*v + 4*r, -3*v + 455 = 2*r. Solve v*k - 149*k + 4 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 4*l - 30 = -p, -l = 2*p - 71. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -37*d**3 - 2*d**2 - 5*d + 3. Is w(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 63059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*s + 12*s = -150. Let r(k) = k**3 - 30*k**2 + 17*k + 77. What are the prime factors of r(s)?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9509 and 364683?\nAnswer: 13493271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeeeeceeeeeeeeeeee. What is prob of sequence ec?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 6016893 a multiple of 488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4614 (base 7) in base 9?\nAnswer: 2263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of m**4 - 961*m**3 + 2*m - 3*m**4 + 100*m**3 - 2*m + 206*m**2 wrt m?\nAnswer: -48*m - 5166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11 - (-22 + 40) - -58\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(16) + sqrt(144)) - sqrt(16))\/(-2*sqrt(56)\/sqrt(7)).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 113520 and 46200.\nAnswer: 3973200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 4*t, 3*t - 4*t + 3*c = 0. Let r(u) be the first derivative of 0*u**2 + 0*u**4 + 2 + t*u**3 + 2\/5*u**5 - 2*u. What is the derivative of r(q) wrt q?\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-52)\/(-2) - -1*2. Let u be 5\/(20\/(-8))*-2. Let x(q) = -q**2 + 11*q - 14. Let t be x(u). Calculate the greatest common divisor of m and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (2 + -1*sqrt(76))**2 + (sqrt(76)*1 + 5)**2 - ((4*2*sqrt(76))**2 - ((sqrt(76)*-1 - sqrt(76) - sqrt(76))**2 + 0)).\nAnswer: -4000 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.05 and 21396514412.\nAnswer: 21396514412.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -2*k**2 + 4*k**2 - 4 - k**2 - 3*k. Let b be d(4). Suppose -4*v - r + 41 = b, 0 = v - r - 13 - 1. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = -0*b - 144. Suppose -16 - 14 = -2*u + 2*l, 4*l - b = -5*u. Let c = 19 - u. Calculate the greatest common divisor of c and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6155 or 6175?\nAnswer: 6155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h + 76. Suppose 3*q + k + 58 = -0*k, -5*q + 4*k - 74 = 0. Let r be w(q). Suppose r*z + 14 = 65*z. Solve 0 = 5*c - z - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1728a - 530?\nAnswer: -1780a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 737*m - 654. What are the prime factors of k(13)?\nAnswer: 79, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-1)\/(u**10\/u)*(u**(-4\/3))**23)**(10\/13) assuming u is positive.\nAnswer: u**(-1220\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:12 PM and 9:02 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2 - 1)*(2 - 5). Let p = -4 + c. Let g(h) = -h - 5. Give g(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -18*u**3 + u**2 + u + 3. Let g be z(-3). Let w = g - 971\/2. Find the common denominator of w and 10\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/((-6)\/(-228)) - 5. Let w(v) = 15*v**3 - 33*v**2 - 33. Let n(q) = -2*q**3 + 4*q**2 + 4. Give i*n(z) + 4*w(z).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, -24, 4 in descending order.\nAnswer: 4, 0.4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*q - 138*q = -1425 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -44 + 40. Which is the fourth biggest value?  (a) -171  (b) p  (c) 0.3  (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5499496949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 6*v - 11*v, -4*b - 2*v = -48812. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.12 and 17124.425043238.\nAnswer: 17124.305043238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-5)\/u**1*(u**0)**17)\/((u**2\/u)\/(u*u*u**(-1\/3)))**(1\/25) assuming u is positive.\nAnswer: u**(-448\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the third derivative of 0*h + 0*h**3 + 0 + 2*h**2 - 1\/30*h**5 + 0*h**4. Let l(g) = 27*g. Calculate a(l(o)).\nAnswer: -1458*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 6*k = 12, 0 = -2*v + 5*k - 24. Let c = -9 - 3. Let p be ((-3)\/v)\/(c\/32). What is the closest to 0.2 in 5, p, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 3*s + 59 = 0, 4*q + s - 19 - 31 = 0. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -17320.3 to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the first derivative of 64*t**3\/3 - 13*t**2\/2 + 9*t + 116. What are the prime factors of l(4)?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 48104798 and 22?\nAnswer: 529152778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 20096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**2*j)**(-20\/9))**(-34) assuming j is positive.\nAnswer: j**(680\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - 3) + 1 - -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2910 and 3395?\nAnswer: 20370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the first derivative of -h**7\/420 - h**6\/60 - h**5\/30 - 2*h**3\/3 - 3. Let q(l) be the third derivative of d(l). Factor q(x).\nAnswer: -2*x*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 43 * 0.7902.\nAnswer: 33.9786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 309686 and 23822?\nAnswer: 309686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 2*k**2. Let c(a) = -24159*a + 4. Determine c(o(g)).\nAnswer: -48318*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*p**3 - 23 + 50 - 27.\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1429*c**3 + 20*c**2 + 6442*c**3 - 1483*c**3 - 20*c**2 + 4448*c**3.\nAnswer: 7978*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8, 18, 30, 44, 60?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0013527 to five dps.\nAnswer: 0.00135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -11101 (base 6) in base 14?\nAnswer: -7c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(96)*-2)\/(sqrt(108)\/sqrt(6) + sqrt(2)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 167 divide 43958408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-6)\/(-4) - 3)\/(3\/16). Let f(i) = -i**3 - 6*i**2 - 9*i - 7. What is the tens digit of f(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11110111 + 11?\nAnswer: 11111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bdux when four letters picked without replacement from wxjwjdubxuxuxud?\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**3 - 5*h**2 - 7*h + 2. Let f be d(6). Let y be 32\/f*3\/(-12). Solve z + 3*r = 6*r + 5, -y*r - 4 = -z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 439.934um in centimeters?\nAnswer: 0.0439934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 297 = 83*o - 35. Let c(b) = -b**2. Let a(p) = -9*p**2 + 2*p + 1. Calculate o*c(v) - a(v).\nAnswer: 5*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 8.719449 centuries?\nAnswer: 0.8719449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/4*5\/((-5)\/(-1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**3 + 7*a**2 - 22*a - 160. What is f(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times -733775?\nAnswer: 1467550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(4\/5))**(-11\/3) assuming r is positive.\nAnswer: r**(-44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o*o**(7\/3)*o)\/(o\/(o\/(o**6*o))))**(-6)\/((o**(-1\/3))**(-40)\/(o**(4\/5)*o**(2\/5)*o)) assuming o is positive.\nAnswer: o**(-17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -289028*q. Let h(u) = 53*u**2. Calculate h(l(o)).\nAnswer: 4427470793552*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 191 is divided by 38.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*j**3 + 5*j**3 + 3*j**4 + 0*j**3 + (2*j**2 - 3*j**4 - 2*j**2)*(2 - 4 + 1).\nAnswer: 6*j**4 + 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.1, 0, -96, -1\/3, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3833257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*c - 31*c = 84*c - 2703 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.25402 + 0.04598. Which is the nearest to -3?  (a) p  (b) -0.3  (c) 3\/7  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(2) + (sqrt(2) - sqrt(2)*-4)) - (sqrt(2) - sqrt(32)*1)) + -5 + (sqrt(2) - (sqrt(2)*-1 + 5)) + 2 + 0)**2.\nAnswer: -560*sqrt(2) + 2514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -40*z**3 + 3*z**2 + 14*z - 16. Calculate w(1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7065\/7 + -1009. Which is smaller: 142 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i + 3*o - 9 = 2, -2*o = 5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 12) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**2 + 28. Let y be x(0). Suppose 0*r = r + 4*t + y, r + 26 = -2*t. What is the remainder when 35 is divided by (r\/(-15))\/((-6)\/(-45))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8924, -17874, -26824, -35774, -44724?\nAnswer: -53674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 21.81644 years?\nAnswer: 0.2181644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -b**2 + 89*b - b**2 - 89*b.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the third derivative of 1\/6*i**4 - i**2 + 0 - 2\/3*i**3 + 0*i. Let f(r) = -r**2 - 2*r - 3. Let a be f(-2). Let s(q) = -5*q + 5. Give a*s(t) - 4*c(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 1020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -79637 divided by -83.\nAnswer: 79637\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 5*d**2 + 4*d + 2. Let t be j(-4). Let k be t*(0 - 4\/(-3)). Calculate the highest common factor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1 and 2609666.\nAnswer: 2609667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -8\/3, 0.4, 2\/15, 1, 1\/5, 587.9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 - -16. What is the remainder when 50 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -6*u - 79. Let l be p(-13). Let c = 1.7 - -3.3. What is the second smallest value in c, 1\/4, l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 33509579 and 397?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 118410.6119 + -118405. Let m = 5.6 - o. Round m to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 13\/4 of a millisecond?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 10*x + 21. Suppose -17199 = 2*b - 17177. Let t(k) = 2*k + 4. Calculate b*t(f) + 2*n(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) 5  (c) 0.2  (d) -0.823  (e) -0.11  (f) -0.4  (g) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**3 + 8*j**2 + 2*j + 4. What is the tens digit of s(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, 3, 8, 3591, 0, 5 in descending order.\nAnswer: 3591, 8, 5, 3, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -253*n + 175 = -228*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = k - 62, 2*k - 156 = -k - 4*t. Let b(z) = -26*z + 1205. Let d be b(46). Suppose -5*u + k = -d. What is the remainder when 76 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1004 is divided by 25.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 18424362 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 55178 (base 11) to base 15\nAnswer: 18acb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17445376*l = 17445659*l + 26319 for l.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v - 13. Let z be t(15). Suppose 0 = -4*a - 4*n + 24, -a + 2*n = -z*a + 6. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, v: 16, t: 3}. Give prob of picking 2 t.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -f - s - 18, 3*f = 2*s - 18. Let x be (-9)\/f - (-9)\/(-2). Let g be 42*(x\/6 + 1). Solve 5*c = -4*z + 40, 5*z = -3*c + 4*c + g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6*(1\/(-3) - 0). Let v be 1*(t - -17)\/3. Suppose 0 = -v*d - 2*z + 38, -d = -z - 0*z - 2. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 a when two letters picked without replacement from {l: 7, c: 1, a: 2, v: 1, b: 5}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 18*y + 4466 - 4592 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10.95402466441 - 8.6.\nAnswer: -19.55402466441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the second derivative of 5\/33*j**4 + 1\/55*j**5 - 5\/11*j**2 - 1\/33*j**6 + 0 - 1\/231*j**7 - 176*j - 1\/33*j**3. Determine i so that w(i) = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 139\/4502820 and -15\/64628.\nAnswer: 481801740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 411 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1604737963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -473 less than or equal to -473?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 312\/(-52)*4\/((-6)\/3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.2 in -3\/4, -18, -0.153?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 355523207 to the nearest integer?\nAnswer: 18855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -152890, -305783, -458676, -611569, -764462?\nAnswer: -917355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.181 plus 4?\nAnswer: 4.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2610258 divided by -38.\nAnswer: -68691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3822  (b) 1\/5  (c) -3  (d) 2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -6*h**4 - 6*h**3 - 5*h**2 - 5*h + 5. Let l(s) = s**4 + s**3 + s**2 + s - 1. Let d(b) = -5*l(b) - t(b). Determine x so that d(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1420 and 87140.\nAnswer: 123738800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/2, 1\/2, -0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -40 + 40.2. Let w = 4 - 6. Let f = -303\/52 + 66\/13. What is the nearest to 0.1 in f, r, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9.37000174 - -9.37. What is c rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 15056 or 15115?\nAnswer: 15056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the second derivative of -55*b**7\/42 - 3*b**5\/20 + 1057*b**4\/6 + b + 498. Find the third derivative of w(r) wrt r.\nAnswer: -3300*r**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 10815, 21643, 32471, 43299, 54127?\n\"Answer: 10828*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 + -40)\/(((-28)\/49)\/(-4)). Let r = h - -424. What are the prime factors of r?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 70975950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 0.9387807 tonnes?\nAnswer: 938780700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 2*c**2. Let t = -1 - 2. Let g be t\/5 + 3\/5. Let n(m) = 0*m - m + g*m. Determine n(p(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -28*p**2. Let y(t) = -59311*t. Give y(m(v)).\nAnswer: 1660708*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**3 + 23*p**2 - 37*p + 18. Let c(f) = -f**2 - f - 1. Let n(r) = -a(r) - c(r). Is n(-32) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.039024014 and 25.5.\nAnswer: 25.539024014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from exxlxsxexllxsxxllg. Give prob of picking 1 s and 3 l.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4324212 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -110*a + 86*a = 5*o + 826, 9*o - 84 = 3*a for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*s + 20 = 4. What is the closest to s in -7.4, 0, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -936214*w**3 - 935988*w**3 + 1872200*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - -4 - (-3 + -8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 727996 and 1804.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 0) + (-30 - (65 + -10 + -18)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lllblllnblnl. Give prob of picking 1 b and 1 n.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -1001, -85 in increasing order.\nAnswer: -1001, -85, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jvkvjjjcjjjjjhvmjj. Give prob of picking 2 j and 1 v.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 4698*-2\nAnswer: -9396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 1, 71, 9.\nAnswer: -3, 1, 9, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 960671*l + 1 + 3.\nAnswer: -960671*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = d - 1, 6 - 1 = -4*n + 5*d. Let c(b) be the third derivative of 1\/6*b**3 + n*b - b**2 - 1\/24*b**4 + 0. What is the derivative of c(k) wrt k?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -177179471+3925\nAnswer: -177175546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 8, j: 8, q: 1}. Give prob of picking 1 j and 1 q.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -43748183, -87496364, -131244543, -174992720, -218740895, -262489068?\nAnswer: -306237239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 5*i = 122075, -72*i = -5*b - 76*i + 203467. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1121 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 - -3*20\/15. Let r(a) = a**2 - 3*a - 2. Let s be r(14). Let x = s - 56. Calculate the highest common factor of k and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -36*o + 27850 + 47786. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.06 in 29, -1, -4, 1334, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -10*i + 28. Give j(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 102889 is divided by 2789?\nAnswer: 2485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15 - (25 - (-1 - -18))) + 1 + -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1*2*-3*1. Let m = -18 - -27. Calculate the lowest common multiple of y\/4*(-4)\/(-3) and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the third derivative of s**6\/120 + 3*s**5\/5 + s**4\/24 + 13*s**3\/6 - s**2 - 409*s + 2. Calculate k(-36).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the second derivative of 9*t**3 - t**2\/2 + 26*t. Let n = -2 - -3. What is the units digit of f(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = 48 - 0. Suppose k = 8*n - 6*n. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1457\/4 - 369. Which is bigger: -4 or i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -6 - 1674\/((-27)\/3). Suppose 42*n + 12 - z = 0. Solve -20 = 5*m - 2*h + 2, 4*h = -n*m - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -85912125*-5.\nAnswer: 429560625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 284.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 + 2)\/(7*21\/49)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 - 324345?\nAnswer: -324345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.6 - 0.3. Which is the second biggest value?  (a) o  (b) 0.2  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9 by -115.\nAnswer: -9\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 15 - 11. Let t = -132 - -128. Let a be (t - 28\/(-4))\/1. Solve -1 - a = -x*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12 - -20. Which is the third smallest value?  (a) g  (b) 0.4  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*a - 35*a = -73*a + 180 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -202 + -30?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -4, -9, 7, 37 in decreasing order.\nAnswer: 37, 7, -1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 2*v + 432 = 45, 0 = -2*v - 6. Does 39 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10 + 21. Suppose -3*j - 22 = 3*f - 244, 0 = -f. What is the remainder when j is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -277*a + 223*a = -35 - 19 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (8045 - 8033) + (2 - 19)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3526 + 12?\nAnswer: -3514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13502 + -13502.040297. Round h to three dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -5*m + 41, 52*m + 22 = t - 20*m + 77*m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 8*g + 9 = 3*q, -2*g + 2*q = -8. Suppose -p = 3*u - 0*u - 2810, 5*u - 4688 = g*p. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 41*t**2 - 93*t - 1. Let f be h(3). What is the third derivative of f*o**6 + 3*o**2 + 4 - 487*o**3 + 487*o**3 wrt o?\nAnswer: 10680*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**3 + 31*k**2 - 100*k + 663. What is s(27)?\nAnswer: 879","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 3*s**2 - 2. Suppose 4*x + 2*b + 4 = 2*x, -2*b - 10 = -4*x. Let t be (-1)\/(x\/(3 + -11)). Suppose 0*w + m = -4*w + t, 0 = -3*m. Determine o(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 2*g**3 + 70*g**2 - 2*g - 67. Let j be k(-35). Solve -1 = -5*q - j*a + 9, -2*q - 2*a = -8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence va when two letters picked without replacement from dsviavsissiydyassv?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -614 - -353. Let y = 785\/3 + g. Find n, given that -y*n**4 - 2\/3*n**2 + 4*n**3 - 16*n - 32\/3 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**15\/(o\/(o*o*o**(-2\/49))) assuming o is positive.\nAnswer: o**(782\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 34 = -g, 4*g + 12*d = 8*d + 120. Solve g = 5*i + 2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -v + 27391*v**2 - 15*v**3 - 27391*v**2 + 16 wrt v?\nAnswer: -45*v**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.4?  (a) 3  (b) -6  (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 121\/44 - (-2)\/(-8)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -448228 + -51?\nAnswer: -448280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f + 4*f - 6*f)*(-180 - 186 - 366)*(3 - 2 + 1).\nAnswer: 1464*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -32 - -30. What is the second smallest value in 4\/7, -0.176, a, 0.2?\nAnswer: -0.176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the first derivative of -i**4\/2 - 145*i**3\/3 + 297*i**2\/2 + 391. Find the second derivative of o(w) wrt w.\nAnswer: -12*w - 290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*t**3 + t**3 + 5*t**3 + t**3 + t**3 + 0*t**3 + (3*t**2 + 0*t**2 - t**2)*(6*t - t - 4*t) + 0*t**3 + 2*t**3 + t**3 + t**3 + 4 - 2*t - 4.\nAnswer: 10*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 25 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2881.\nAnswer: 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 138.15361 to one decimal place.\nAnswer: 138.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 79363841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 5*k + 22, 0 = -4*k - 0*k - 16. Suppose n*f + f = 33. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 61172\/(-2460) + 6\/5 + -1. What is the third smallest value in 0.3, w, 1\/4, -3\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -42 + (11 - (4 - (-4 + 11))).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 - 7. Let s = i + 4. Which is smaller: -3\/8 or s?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 32.5 + -32.1. Which is the nearest to o?  (a) -13  (b) 2\/3  (c) -6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 = 3*c + 2*z, 0*z + 32 = 4*c - 4*z. 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: In base 3, what is -111 + -210012?\nAnswer: -210200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -5*2\/(70\/(-10367)). Suppose 4*m = y + b, 19*y - 1845 = -5*m + 14*y. List the prime factors of m.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(-1\/3))\/s**(-1\/7)*(s**(1\/3)*s)**(2\/69))**(-42) assuming s is positive.\nAnswer: s**(-2458\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 3*t**2 + 2*t - 56. Let g be b(-5). Solve 23*c - g = 20*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-5*1*sqrt(1573)*1 + (sqrt(1573) + 1 + -3 - (-4*(sqrt(1573) + 2*sqrt(1573) - sqrt(1573) - sqrt(1573)) - sqrt(1573))))**2.\nAnswer: -264*sqrt(13) + 9462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 15\/(-2)*-4*2\/12. Let p(c) = -c**3 - 8*c**2 - c - 6. Let r be p(-8). Let b(g) = -3*g**r + 5*g - u*g + g**2. Let n(z) = 2*z. What is b(n(q))?\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 2.23428 millennia?\nAnswer: 2234.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 820*i**2 + 94*i**2 + 58*i**2 + 2108*i**2. Let d be o(-5). Round d to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -11*a - 10. Is f(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-434)*665\/1710)\/(7\/(-84)).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10 and 126700?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -121\/1004640 and 131\/35880?\nAnswer: 1004640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) -44  (c) 1  (d) -2\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -37*d - 2. Suppose -19 = -30*i + 11*i. What is t(i)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*v**2\/2 - 92001189*v + 2821406259137907\/2.\nAnswer: 3*(v - 30667063)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 69 - -10?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sum 586113480 and 81.\nAnswer: 586113561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 80\/300*3\/(-2)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1191544565.\nAnswer: 5, 227, 293, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 30 * -2240.\nAnswer: -67200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.69 - -1.8. Which is the biggest value?  (a) v  (b) 1  (c) 3  (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -4*m + 5*m. Let g be (-6)\/42 + (-64)\/m. Let a be g\/21 + 43\/(-35). Is a > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 66 + 32 - 88 + 2*c + 66 to the form b*c + x and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 2306*j - 2306*j + 172*j**2 in the form s + g*j + w*j**2 and give w.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -675*p = -688*p + 1300. Suppose 2*j + 3*d + 9 = -0*d, 0 = -d - 1. Let c be -1 + 41\/(j\/(-3)). Calculate the highest common divisor of c and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -6*(-4 - (-6 - -1)). Let s(g) = -g**2 - 7*g. Let r be s(f). Suppose 4 = -p + 4*x, 0 = -r*x + x + 10. Solve -p*h + 6 = 22 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 60\/(-14) - (-12)\/42. Let v(r) = -r**2 - 9*r - 13. Let d be v(m). Is ((-5215)\/d)\/(-1 + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 126690.000064207 + -126690. What is n rounded to 7 decimal places?\nAnswer: 0.0000642","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2991601 + -1502468. Let o = -5121780 - -8030913. Let g = v - o. What is g rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.2551 + -0.1449. Which is the second biggest value?  (a) -1  (b) 0  (c) t  (d) 190\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 4*p - 5*p = 13, -2*h + 4*p + 2 = 0. Let i(a) = a**3 + 5*a**2 - 6*a - 12. What is the least common multiple of 22 and i(h)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3313 (base 4) to base 9.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 + -9.5. Let f = -0.1 - v. Let o = 2.4 - 0.4. Put 1, f, o in increasing order.\nAnswer: f, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {a: 7, j: 1, n: 1, b: 2, y: 6}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.43 times 18690?\nAnswer: 8036.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 3, 10, 8 in descending order.\nAnswer: 10, 8, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18637 is divided by 9220?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 9274409*x**2 - 15540652 wrt x?\nAnswer: 18548818*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 96 and 153564?\nAnswer: 1228512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13930, -13924, -13914, -13900, -13882?\nAnswer: -13860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -12 + 15. Suppose -100 = -j*k + 8*k. Let q = k + 30. Calculate the greatest common divisor of q and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 33 + 133 = 0. Suppose 0 = -2*c + w + 36. Suppose 3*j + 14 = c. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 234*l - 231. What is the units digit of c(21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -6*v**3 - 10*v**2 - 15*v - 40. Let x be u(-6). Calculate the greatest common factor of x and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 27 = 5*z, 2*p + 3*z - 23 = -2*p. Let f = 11 - p. Let h = f - 4. Solve -16 = h*u - u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1323 (base 6) to base 16\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3175 - -1264. What is the thousands digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -12*q**2 + 2*q - 1. Let d be t(1). Let l = -9 + d. Find the common denominator of ((-2)\/11)\/(l\/(-135)) and 101\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 31*k + 159. Let o be v(-5). Let p(n) = 8*n + 7. Let s be p(6). Suppose s = o*m - 129. List the prime factors of m.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5.63 * -12.75\nAnswer: 71.7825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -708.2 or 0.0272?\nAnswer: -708.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is aaa - -4?\nAnswer: ab1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 651*k - 791*k = -444360. What is the greatest common factor of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 127288*i - 1400163. Give z(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Express 3504 - 1898 + 1961 - 3*s + 5*s as f + z*s and give f.\nAnswer: 3567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -251 - -352. Let v = f + -509\/5. What is the smallest value in 0.5, 0.3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 3*o = 47, -3*f + 0*o = -3*o + 33. Let v = f + 14. Solve z = -v*z + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 - -1. Suppose o = -202*x + 200*x + 9346. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -2176 and 1.768.\nAnswer: -2174.232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -776898*n**2*r*z**3 - n**2*r*z**2 + 2*n**2 + 2*n*r + 7*n*z**3 + 2*n*z + 3*r*z + 2871*r wrt n?\nAnswer: -1553796*r*z**3 - 2*r*z**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -132022200023 (base 4) in base 9?\nAnswer: -15781742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3853612 is divided by 142724.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -92 + 77*s**2 + 92.\nAnswer: 77*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6 - -1)*4 + 1. Let a be (-84)\/8 + 2\/(-4). Let d = a - h. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1*3*(-9 - -8 - 0). Let f(a) = -9*a**3 - a + 1. Let z be f(-2). Suppose 3*r - z = -2*r. Solve r = -h*l - 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*i - i - 3*i)*(35*i**2 + 24*i**2 + 29*i**2 + (0*i + 3*i - 2*i)*(-i + 0*i - i) + 0*i**2 - 3*i**2 + 2*i**2).\nAnswer: 85*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000094 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2960 and -0.1?\nAnswer: 2960.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(3 + ((sqrt(147) - (0 + sqrt(147)*2 + sqrt(147)))*-5)**2)*-5 + 3.\nAnswer: -147027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**4 - 6*j**3 - 6*j**2 - 2*j.\nAnswer: -2*j*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7054 - 16254. What is k rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1257, -10126, -34185, -81030, -158257, -273462, -434241?\nAnswer: -648190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 34698717*s**3 + 68944911*s wrt s.\nAnswer: 208192302*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1244093, 1244097, 1244103, 1244111, 1244121, 1244133, 1244147?\n\"Answer: v**2 + v + 1244091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 - -10. Let t be (o\/15)\/(18\/10). What is the third smallest value in 0.2, -0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -435.63 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/(1 - 44\/42). What is the tens digit of 670\/(c\/(-7) + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h + 13*h - 40*h)*(4*h - 3*h + 2*h)*(-2*h**2 + h**2 + 2*h**2 + 3).\nAnswer: -87*h**4 - 261*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n. Let f be z(-9). Let c be -5*f\/15 - -21. Let u be ((-126)\/c - -5)*-8. Solve 4*x - 8 = -0*t + u*t, 2*x - 2*t = 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -57 * -20240.\nAnswer: 1153680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the first derivative of 1\/2*s**2 - 2\/5*s**5 - 3 + 0*s + 0*s**4 + 0*s**3. What is the second derivative of l(b) wrt b?\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the first derivative of k**3 - 5*k**2 + 8*k + 42. Is i(-8) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 777*n**2 + 6343*n + 33. Let l(g) = -1556*g**2 - 12686*g - 77. Let m(s) = 3*l(s) + 7*p(s). Find the second derivative of m(t) wrt t.\nAnswer: 1542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33 and 13629.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -560*g + 557*g + 14 = 4*n, -4*g + 43 + 1 = -n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**3 + 31*z**2 - 62*z + 119. Give q(-33).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9822 + 59081\/6. Calculate the common denominator of k and 10*1*2\/(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**3 - 17*t**2 - 33*t - 39. Give r(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 + 4*g**3 - 2)*(2*g + 0*g - g) + 50*g**2 - 50*g**2 - 11*g**4 + (0*g - 3*g + g)*(3*g**3 - 5*g**3 + 3*g**3))*(-8*g - 4*g + 3*g).\nAnswer: 81*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 13*v**2 + 1 - 18*v**2 - 4*v - v**3 + 4 + 12*v. Give c(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 234891.3m to kilometers.\nAnswer: 234.8913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 17214 and 87882.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 4*g + 1 = 0, 3*g - 42 = -5*u - 15. Solve 0*b = u*b - 15, -2*b = 2*i - 12 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 142*b - 114700 = 1692*b for b.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6890\/10057 - 72\/89. Let s = 776\/791 + p. Factor -6\/7 + s*w**2 - 3\/7*w + 3\/7*w**3.\nAnswer: 3*(w - 1)*(w + 1)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the first derivative of 27\/2*g**2 + 21 - 49*g. Let f be h(4). Is f <= 60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 8*l + 26 = 0. Solve 0*s - 4*h - 10 = l*s, 2*s = -2*h - 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the third derivative of -169*d**6\/60 + d**5\/20 - 4511*d**4\/24 - 2*d**2 + 207*d + 2. Find the second derivative of b(k) wrt k.\nAnswer: -2028*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 78521681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1634517?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -398 + 403. What is the second derivative of -s*u + 8*u + 62*u - 12*u**2 wrt u?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8665288 divided by 20246.\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*a + 3772 = 3412. Solve 3*j + a*j - 132 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*x**2 + 3*x**2 - 2*x**2 + 10*x**2 - 3*x wrt x?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 697\/7 - 100. Let j = 228.6 + -230. Which is the third smallest value?  (a) -3  (b) j  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the first derivative of -d**4\/4 - 5*d**3 - 7*d**2 - 8*d - 4. Let f be m(-14). Is f + 8 - 2*-47 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*u**3 - 13809 + 6907 - 2*u**3 - u**3 - 10*u**3 + 6902 + 15*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00094771859 rounded to 6 decimal places?\nAnswer: -0.000948","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**2 - c. Let o(b) = -b**2 + 4*b. Let y be (-2)\/(-2 + 1 + -1). Suppose 0*h = 3*g + 2*h, 4*g + 2*h - 2 = 0. What is g*f(n) + y*o(n)?\nAnswer: n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 111231303210 (base 4) to base 6\nAnswer: 322002500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the first derivative of 3*r**4\/4 + 20*r**3\/3 - 2*r**2 - 8*r - 58. What is the tens digit of v(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {y: 1, f: 3, c: 6, a: 9}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the second derivative of 11*i**4\/6 - i**3\/6 + 16*i**2 - 10*i - 44. Let j(w) = w**2. Determine l(j(f)).\nAnswer: 22*f**4 - f**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*p**2 + 2*p - 2*p + (2*p + p - p)*(-p - p + 0*p) - 2*p**2 - 3*p**2 + 2*p**2 + (-p**2 + 2*p**2 + 5*p**2)*(-6 + 2 + 3).\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.08 - -2. Let n = y + 8.08. Let j = -5 + n. Which is the closest to 0?  (a) 0  (b) 4  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the second derivative of -h**4\/5 - 14*h**3\/15 + 12*h**2\/5 + 15*h. What is w in u(w) = 0?\nAnswer: -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.3 and -0.261?\nAnswer: 0.561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 20964527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -7 + -102152?\nAnswer: -102161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 141019, 282055, 423089, 564121, 705151, 846179?\n\"Answer: -a**2 + 141039*a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (131*c - 6639 + 6639)*(-2*c + 3*c - 2*c) as y*c**2 + t + p*c and give y.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, b: 1, r: 4, u: 1}. Give prob of sequence bc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -88 + 87.9999997. Round l to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 139*b**5 + 6 - b**3 - 137*b**5 - 13 + (-4*b**5 + b**5 + b**5)*(3 + 4 - 6) + 0*b + b**5 + 0*b - 2*b**5 + 0 + 0.\nAnswer: -b**5 - b**3 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6219*y - 16 = -6211*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*f + 20*f - 832. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 29\/(261\/90) - 12. What is the nearest to k in -1\/2, 37, 6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -67?  (a) 813  (b) 0.3  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 205.4 to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 239*n**6 - 2*n**5*y - 4*n**2*y + 2*n*y - y + 3 wrt n.\nAnswer: 28680*n**3 - 120*n**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/(((-28)\/6)\/2). Let m = -197841\/11 + 17985. Which is the second smallest value?  (a) m  (b) v  (c) 2  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -15 - 272\/(-18 - -1). Is i >= 31\/106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2466749416 - -2466749407.950000158. Let h = u - -8.05. What is h rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*x - 5 - 3*x**2 - 4 + 7 + 8*x.\nAnswer: -3*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -577 and -0.3.\nAnswer: 173.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -16*j**2 + 18*j + 161. Determine y(5).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -2*o**2 - 20*o + 1. Calculate f(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((i*(i\/i**(-4\/7))\/i)\/i)\/i*i)\/i*i*i\/(i**(-4)*i)*i**(-3\/13)\/i**9)\/((i**(2\/5))**(14\/11)\/(i\/(i**(-2\/9)*i))**27) assuming i is positive.\nAnswer: i**(4162\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 663.107 nanograms to micrograms.\nAnswer: 0.663107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.0523 - -0.05017. What is t rounded to four decimal places?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d + 2*i - 6543, -4*d + 2*i = -2*d - 4352. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7 - 5. Solve -y*h - 4 = -4*t, -2*h = h - t - 9 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.112881 from -1163882.\nAnswer: -1163882.112881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 48 = 17*v. Calculate the remainder when 15\/v + 9 - -1 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**3 + 4*f**2 - 3*f + 3. Let d be r(3). Suppose -d*y = -7*y + 4. What is the remainder when 81\/3 + 2\/y is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2\/(-18))\/(13\/(-6)). Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10022002 (base 4) to base 7\nAnswer: -100432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:55 PM and 7:44 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -3419.\nAnswer: 1\/3419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -17 + 9491?\nAnswer: 9478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 + 2.5. Let r = 5.62 + -7.62. Let t = -0.3 - -0.7. Put t, r, w in descending order.\nAnswer: t, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/1506, 32, -0.34, 0.5?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 461 + 781. Round h to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1*(-3 + 2) - -3. Let b(w) = 3*w**2 + w + 14. Let s(v) = -v**2 - v - 1. Let m(n) = b(n) + 2*s(n). Let r be m(0). Solve 0 = u*a - 0 - r for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/216 and 97\/108?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1352, -1049, -680, -251, 232, 763, 1336, 1945?\n\"Answer: -i**3 + 39*i**2 + 193*i - 1583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 4*q - 14. Let v be a(4). Solve 0 = -v*z - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -138 + 348. Let w be 6\/(-20) + 63\/j. Factor -6\/11*y**5 - 6\/11*y**3 + 6\/11*y**2 + 4\/11*y - 14\/11*y**4 + w.\nAnswer: -2*y*(y + 1)**3*(3*y - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3+446425083\nAnswer: 446425083.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 146646601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1b1 (base 14) to base 8\nAnswer: -537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -20*z + 206503 - 17363. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n**5\/4 - 5*n**4\/2 - 5*n**3\/4 + 5*n**2\/2 = 0. Calculate n.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 82 a factor of 513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u*u\/u**(1\/17)*u*u)\/u**(2\/85))**37)**(-30) assuming u is positive.\nAnswer: u**(-73926\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 40 or 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-12)\/(-10))\/(-1) + 1. Put 1\/5, h, -17, 5 in decreasing order.\nAnswer: 5, 1\/5, h, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31009.\nAnswer: 11, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3582624 and -6.\nAnswer: 21495744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d + 166 = -17*d - 296 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -6*s + 84. Let w be i(13). Suppose w + 4 = -10*t. Suppose -2*a + 2*b + 10 + 4 = 0, 4*b = -20. What is the second biggest value in -0.09, a, t?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1833\/28 - 257\/4. Find the common denominator of 51\/254 and g.\nAnswer: 1778","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5904767 and 6831.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -37, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 3*z - 12 = 0. Find the third derivative of -13*f - 29*f**2 + 13*f + 4*f**3 + 18*f**z wrt f.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 20 - 65)*(-4 + 3 + 4)*(-4*y + y + 4*y)*(4*y - y - y).\nAnswer: -474*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6 or -191164?\nAnswer: -191164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2\/6)\/((-8)\/(-120)). Let u = 1.8 - 0.8. Which is the nearest to 0?  (a) u  (b) w  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0469343 rounded to three dps?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2808836 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -17*c**2 + 482*c + 19. Calculate o(27).\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -89018506 or -89018505?\nAnswer: -89018505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000000081 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -62 - -70. Suppose -5*m + 9 - 36 = -2*j, -5*m = 2*j + 23. Let k be 0 + j + 1 - -1. Solve n = -k*h - h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 519 and 549 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 190 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00129416 rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/6*(-5 + 14). Let r(s) = s**2 + 6*s - 1. Let x be r(z). Let v(u) = -50*u**3 + 2*u**2 + 2*u + 1. Is 24 a factor of v(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-four fifths of a milligram in micrograms?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -114 - -188. Let y = 77 - x. Suppose -2*q = -5*f - 1762 + 7063, -y*f + 3189 = -4*q. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 25 = 13. Solve 2*h = -3*d + 4, -5*d + 2*h = p*h for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 59988986 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1922*u - 1923*u - 5*o = -35, 4*u = -4*o + 44 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 6*w**2 - 4*w**2 - 30 + 3*w + 8*w**2 + 7*w**2. Let b(n) = 50*n**2 + 10*n - 90. Let f(m) = -10*a(m) + 3*b(m). Find the first derivative of f(y) wrt y.\nAnswer: -40*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-598)\/(-11960)*(-20)\/11\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 18, 74, 168, 300, 470, 678?\n\"Answer: 19*q**2 - q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -3*q**5 + 732*q**4 + 147*q**3 - 35868*q**2 = 0.\nAnswer: -7, 0, 7, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 577.7586 centimeters to nanometers.\nAnswer: 5777586000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9853 + 23666. List the prime factors of m.\nAnswer: 19, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -3*a + 4. Let h(l) = -2*l + 4. Let c(v) = -3*h(v) + 4*o(v). Let u(r) = -76*r**3 + 227*r**2 + 3*r + 3. Let p be u(3). Determine c(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -71, -307, -701, -1253, -1963, -2831, -3857?\n\"Answer: -79*v**2 + v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 119*h**2*k**2 - 324*h**2 + 3*h*k + 2*h - 13*k**2 - 20 wrt k.\nAnswer: 238*h**2*k + 3*h - 26*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(225) + (sqrt(225) - (sqrt(225) - (sqrt(225) + -1*(sqrt(225)*2 + sqrt(225)) - sqrt(225) - sqrt(225)))))\/sqrt(9))\/(sqrt(720)*-6 - sqrt(45)).\nAnswer: sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -46*d**3 + 3*d - 2. Let k be o(1). Let u = 224\/5 + k. Let z = -0.02 + 3.02. Which is the biggest value?  (a) z  (b) u  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.43, 1\/3, 0.16.\nAnswer: 0.16, 1\/3, 0.43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes after 1:22 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x. Let f(m) = -90*m + 21. Let z(c) = -c**2 + 5*c + 106. Let a be z(13). Let p(s) = 2 + 0 - 10*s + s. Let w(k) = a*f(k) - 21*p(k). Calculate w(q(v)).\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -4061 <= -3868?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 10\/(-48) - 51\/34 and 97\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15 + (1 - 21) + 26 + (44 - 3).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 84 + -89. Put 1\/5, m, -0.4, 20 in ascending order.\nAnswer: m, -0.4, 1\/5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w - 6*r - 20*r + 17*r = 37, r + 2 = 2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 261 - 5219\/20. Let r(h) be the second derivative of -h + 1\/6*h**4 + 0*h**2 + 1\/6*h**3 + f*h**5 + 0. Suppose r(c) = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2760 (base 9) in base 3?\nAnswer: -2212000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 4*z + 26 - 26. Suppose -9 = -2*o - 1. Let d(h) = -2*h. What is o*k(r) + 9*d(r)?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1621861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 59 + 18. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -887 = 10*c - 1037. Solve -c = -3*p + 3*d, 0*p - 5*d = p + 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = d + 2*d. Suppose 0 = -d*u + 4*u. Let m(k) = k**3 + 58*k**2 - 87*k - 1652. Let n be m(-59). Solve n*z + 2*z = u for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -304 - -469. Suppose 3*c - 86 = -4*d, 4*d + 29 = 2*c + d. Calculate the greatest common factor of c and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -2*f**3 - 27*f**2 + 245*f + 3348. Give g(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 135026, 270063, 405100?\nAnswer: 540137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-80)\/6 - 330\/(-99)) + 13. Let w(d) be the third derivative of -d**6\/120 + d**5\/20 - d**4\/12 - d**3\/2 + 2*d**2. Give w(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -151*v + 160.\nAnswer: -151","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6150 and 390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3.907 in -2, -1, -151?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + o + 0 = 18, 4*q + 3*o = -37. Let l be (-9)\/7 - 2\/q. Let d = 194 + -2524\/13. What is the third smallest value in l, -4\/7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*o - 2*d + 72, -5*o + 14*d - 24 - 55 - 34 = 0 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28688 is divided by 1099?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = 7*n + 9*n. Solve 4\/11 - 2\/11*r**3 + 6\/11*r + n*r**2 = 0 for r.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15941 divided by -21.\nAnswer: -15941\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -18?  (a) -2\/3  (b) -4\/7  (c) 4291\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p**2 + 2*p**2 - p**2)*(6*p + p - 4*p) - 2*p + p + 2*p + p**3.\nAnswer: 7*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**3 - 15*j**2 - 17*j + 16. Let h be s(16). Suppose 3*y = -4*q + 1 + 1, -3*q + 3*y + 12 = h. Solve 16 = -q*k + 14 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7)\/49*2)\/2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*u - 6*u - 21 + 79 - 14 - 12.\nAnswer: -12*u + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.14  (b) -0.6  (c) 31.1  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -148*t + 563. Let z(f) = -223*f + 844. Let p(w) = -8*c(w) + 5*z(w). What is the first derivative of p(q) wrt q?\nAnswer: 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 65955?\nAnswer: 3, 5, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 79\/2 of a century in months?\nAnswer: 47400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**2 + 5*m + 2. Let b be i(-4). Let y be ((-13)\/5 - (-162)\/(-405)) + 4. Sort b, y, 2.\nAnswer: b, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -31 - -35. Calculate the highest common divisor of u and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/(-6) + 888\/333. Solve -y*h = -9 + 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/(-9) - (-4)\/(-6) - -8. Let t = -453 - -797. What is the highest common divisor of z and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 24 + -20. Let s(v) = v + 3. What is the units digit of s(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 7) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the second derivative of 13*m**3\/6 - 4*m. Let k(s) = s. What is k(f(o))?\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(1*sqrt(152) + sqrt(152)))\/(sqrt(16)\/sqrt(8)) + (sqrt(19) + -1*sqrt(76)\/sqrt(4) + sqrt(19)*-2 + -2)**2)*4.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.14 - 49.86. Let i = -51 - v. Let b be (-2)\/(-6)*(-3)\/4. What is the nearest to i in -0.3, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.071 and -27?\nAnswer: 26.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2656 - -2655.5. Let w be (-35*3)\/((-6)\/4). Suppose -w = f - 6*f. Which is the third smallest value?  (a) k  (b) 5  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + o - 63 = -26, -2*t - 3*o + 78 = 0. Calculate the greatest common divisor of 561 and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 70\/20062527 and -3\/1442948.\nAnswer: 1043251404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -22311110 (base 4) to base 6\nAnswer: -541232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.698 - -1.298. What is the smallest value in 0.1, -5, u, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(6)\/sqrt(18) + sqrt(3) + (sqrt(3) - sqrt(9)\/sqrt(12)).\nAnswer: 11*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 94176 divided by 15696.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qzz when three letters picked without replacement from {q: 1, h: 2, r: 1, z: 3, o: 1, g: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v - 9 - 11. Let o(z) = -3*z**3 - 11*z**2 - 10*z - 6. Let b be o(v). Which is smaller: b or 51?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1431 - -21113302?\nAnswer: 21111431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2214, -4428, -6644, -8862, -11082, -13304?\nAnswer: -15528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 31172628 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*b + 87*b - 65*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*x**3 + 2379*x**2 - 3156*x.\nAnswer: -3*x*(x - 263)*(3*x - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-5838)\/(-105) + 2 + 26\/(-10). Find the third derivative of -55*t**3 + 189*t**3 - y*t**3 - 60*t**2 - 62*t**3 wrt t.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000092852185 rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9 + -2. Suppose z - 2*z + w = 0. Solve -8 - z = 3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*m + 9*m + m + (-4*m + m + m)*(2 + 3 - 3).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 minutes before 5:48 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -221000021 (base 3) to base 13\nAnswer: -83b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o - 23066334 - 33033666. What is o rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p\/p**(-6))\/p**(-8) assuming p is positive.\nAnswer: p**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w**2 + 10*w + 15. Let r be a(12). Find the first derivative of f - f - 14*f**3 + 301 - r wrt f.\nAnswer: -42*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 54*o - 1347 + 267. What is the highest common factor of o and 2740?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -12864 - -122?\nAnswer: -12742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 88.86964 micrometers to kilometers.\nAnswer: 0.00000008886964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48780 = 1389*u - 576*u. Let m be (64\/6)\/(4\/18). What is the highest common divisor of u and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 69\/2 of a gram?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 26052 rounded to the nearest 1000?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 36117 or 36118?\nAnswer: 36118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2*(286\/(-117))\/11. What is the closest to -3 in -3, -0.1, -0.2, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4894\/7341)\/((-2)\/87)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 252 + -276. What is the hundreds digit of -125*(-2 + (m\/(-15) - 4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dtz when three letters picked without replacement from {z: 2, t: 6, g: 2, d: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 37086 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/16 in -2849.5, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1 - (7 + -4) - -5. Suppose -5*p - 15472 = -3*n, 2*p + c*n + 2*n = -6164. Let z = -2099 - p. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*h + 74 = -11 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/2*(-5 + 7). Which is bigger: 4\/303 or a?\nAnswer: 4\/303","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -26.2573 * -45.\nAnswer: 1181.5785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 3) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p - 2*r + 18, 2*r = 11 - 3. Let l = p - 0. Let g(x) = 7*x**2 + 7*x + 1. Let a(f) = -11*f**2 - 11*f - 2. What is l*a(b) + 8*g(b)?\nAnswer: b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 44\/12*5*-3. Let f = -42 - p. Let z(w) = w**3 + 5*w**2 + w - 2. Let a be z(-3). What is the greatest common divisor of f and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**3 - q**2 - 14*q - 4. What is s(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tteoholoohhe. What is prob of picking 1 l and 1 t?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 209051769 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 75494946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/210 and -76\/1095.\nAnswer: 15330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 19 - 4 = 0. Suppose 17*c - 14*c - 12 = 0. Which is greater: c or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 70 and 728?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 3\/2, -6, -30 in increasing order.\nAnswer: -30, -6, 0.5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c**2 - 3*c**2 - c - 2*c**2)*(-c + 4*c + 8*c).\nAnswer: -33*c**3 - 11*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -604, -598, -580, -544, -484, -394, -268, -100?\n\"Answer: y**3 - y - 604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -141*s**5 + 2*s**4 + 61*s**3 + 161687*s**2.\nAnswer: -8460*s**2 + 48*s + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1362034 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dyccqcycdyqdccyqycd. Give prob of sequence ydd.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.23 and -23.\nAnswer: 5.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1229591161 to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5875, 11702, 17529, 23356, 29183, 35010?\nAnswer: 40837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*q**3 - 64491*q**2 - 451266*q + 515760.\nAnswer: -3*(q - 1)*(q + 8)*(q + 21490)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*r = -5*b + 10*b + 1852, 5*b + 1193 = -22*r - 953 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 2 = 2. Let d(c) = c**3 + 16*c**2 + 15*c + 3. Let q be d(-15). What is the second derivative of -2*t + 5*t - 2*t - i*t - 3*t**q wrt t?\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59676 divided by -14919?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 677176 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1121043 - -3?\nAnswer: -1121040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(22) - (sqrt(198) - (sqrt(198) + 2*sqrt(198)))\/sqrt(9))\/(sqrt(110)\/sqrt(250) + sqrt(11)) - (((4*sqrt(72) + sqrt(72))*-6)**2 + 3))*-5.\nAnswer: -25*sqrt(2)\/2 + 324015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = -2*k. Let d(y) = y + y + 2 + k - 4 + 2*y**2. Is 11 a factor of d(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -5*z**2 + 15*z - 9. Let r(c) = -3*c**2 + 8*c - 5. What is 4*d(b) - 7*r(b)?\nAnswer: b**2 + 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3970138 or 3970139?\nAnswer: 3970138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-129)\/(-4) + 4\/(-16). Suppose -v - 3*v + j = 0. Let q be (-6 + 3)*v\/(-6). Solve 2*r - 2 = r - d, -8 = -q*r + 3*d for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2087000 to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -2556 divided by 2\nAnswer: -1278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0\/(-2))\/(2*-1). Let i be (o - 0) + 2\/(-13). Let b = 13087 + -13085. What is the closest to 0.1 in 1\/4, i, b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -467 (base 8) in base 5?\nAnswer: -2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r - 2 - 4*r**3 - 1 - r**2 + 2*r. Let q = 107 + -113. Let t(g) = -1 - g**2 + g - 3*g**3 - 1 + 0*g**2. Give q*t(i) + 4*s(i).\nAnswer: 2*i**3 + 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.34, 2, -2, -0.11, 73 in increasing order.\nAnswer: -2, -0.34, -0.11, 2, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the second derivative of d**5\/45 - 5*d**4\/9 + 50*d**3\/9 - 250*d**2\/9 + 81*d. Determine a so that j(a) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5 and -236024.\nAnswer: -1180120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 308 and 5159.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -5*h. Let s(v) = -343930328*v. Determine g(s(i)).\nAnswer: 1719651640*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**3 - 7*v**2 - 7*v - 3. Let r be b(-6). Let g(d) = 3 - 5*d - 5*d**3 + 5*d**3 + 2*d**3 + 7242*d**2 - 3*d**3 - 7237*d**2. Determine g(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l + 2. What is the remainder when 5\/10*12\/9*(-15561)\/(-266) is divided by a(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 0*h = -h + 4, 3*h = 0. Let a be ((-1)\/9*1)\/1. Which is smaller: a or g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -20*o**2 + 4698*o - 4698*o in the form c + u*o**2 + p*o and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/550771 and -69\/8?\nAnswer: 4406168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 11*h**5 - 5*h**4 - 36*h**3 - 6*h. Let o(q) = 155*q**5 - 70*q**4 - 505*q**3 - 85*q. Let l(v) = -6*o(v) + 85*z(v). Let l(y) = 0. What is y?\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -30a + -19805?\nAnswer: -19b10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k + 7*k = -336. Let z = -2183\/4 + 546. What is the nearest to z in 0, k, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -110*4.\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.284 to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -120.726 + 120. Round i to 2 decimal places.\nAnswer: -0.73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -23 - -40. Suppose -22*y = -4*y. Suppose y = -5*f - 4*q + 18, -q + 8 = 2*f + q. Solve -5*h = -4*i + 16, f*i + 4*h = i - r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1 + 331 - 1)*1. Let m = b - 197. List the prime factors of m.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1609\/451 - 27\/41. Let d(o) = 2*o - 2. Let j be d(3). Suppose 6 = j*i - a - a, -a - 1 = -i. Which is bigger: i or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 121 - -1210121?\nAnswer: 1211012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1358366.\nAnswer: 2, 679183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f + 1. Let m(i) be the first derivative of 3*i**2\/2 + 6*i - 2. Let y(v) = m(v) - 6*o(v). Let w(c) = 2*c. Calculate y(w(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b - 8. Let x be i(-12). Suppose -18 = 3*l + 3*g, 4*l - 1 = x*g + 7. Let z be ((-5)\/15)\/(l\/18). Solve -20 = z*y + y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 14\/12 - 2\/(-4). Let u = 0.55 + 11.45. Let p = 8 - u. What is the third biggest value in p, a, 1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 17069188 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.035 - -2.035. What is the third biggest value in c, 5, -1\/3, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-20))\/(32\/(-240)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**2 - m - 6. Let p(i) = 10*i + 103. Let a be p(-10). Let v(z) = z**2 + 2*z + 7. Calculate a*v(k) + 4*s(k).\nAnswer: -k**2 + 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = -0*c + 4*c. Suppose 3*g - 2 - 12 = -y, 4*g - 19 = -y. Suppose 14 = g*k - 6. What is the least common multiple of c and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100110001 - -1001001000010010001?\nAnswer: 1001000111101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7454 (base 11) to base 15.\nAnswer: 2dc5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -32 in -2\/345, 3, 19?\nAnswer: -2\/345","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 8 - 56525?\nAnswer: -56516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 2 a when three letters picked without replacement from {a: 4, s: 3, z: 3, n: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -211058 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -98581*w**2 + 98582*w**2 + 925 + 1386. Let u(p) = -2*p. Give y(u(o)).\nAnswer: 4*o**2 + 2311","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 51330 is divided by 770.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 244 - 276. Suppose -2*x + 3 + 9 = 0. List the prime factors of x\/4*c\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3441 rounded to two decimal places?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -48 + 52. Suppose -5*o - 2*n - 32 = -6*n, 2*o + n + 5 = 0. Put -1\/3, o, f, 3 in decreasing order.\nAnswer: f, 3, -1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b. Let o(h) = 46*h - 198 - 18*h - 27*h. Calculate n(o(m)).\nAnswer: -m + 198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -3\/5, 4, 37, 1, 0.05 in descending order.\nAnswer: 37, 4, 1, 0.05, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -11, -74, -4\/3 in decreasing order.\nAnswer: 2, -4\/3, -11, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-240)\/8 + 30 - -14\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes after 7:54 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/((-2)\/10)*12\/(-30). Suppose b = -0*q + 3*q - 3, -z*q = -4*b - 12. What is the closest to q in 0.5, -0.1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b in -3*b**3 - 78315*b**2 + 15624579*b + 15702891 = 0?\nAnswer: -26303, -1, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 254\/32073 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**3 - 10*y**2 + 26*y + 294. Give w(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 39 - 295 = 0. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 25*c - 30. Put -3, 3, 0, c in ascending order.\nAnswer: -3, 0, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1088737884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qx when two letters picked without replacement from {x: 2, q: 5, c: 4}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-12))\/(-1)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4024, -16137, -36326, -64591?\nAnswer: -100932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 a factor of 139750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 93 and 1835727?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -201*j**2 + 387*j**2 - 196*j**2.\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 645533 is divided by 1536?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 13642 (base 7) to base 13\nAnswer: 192a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 19135 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: What is 44 minutes before 4:30 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange k + 5 - 3 - 4*k - 3 to the form h*k + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of (36\/(-3))\/(2\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 593*h**2 + 611*h**2 + 469*h**2 - 429*h**2.\nAnswer: 1244*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -222268 + 61.11?\nAnswer: -222206.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -14 - -12405?\nAnswer: 12371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**3 - 6*a**2 + 7*a + 4. Let f be r(-7). Suppose 0 = -f*n + 2*n + 30. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (4588\/(-2208) + 0 - 3) + -3. Let i = 204\/23 + o. What is the common denominator of i and ((-4)\/10)\/(2\/(-8))?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -j - 14, 0 = -2*v + 5*j + 1221. Suppose -325*m + 312*m = -v. Solve 14 - m = -8*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -12937, -1 in descending order.\nAnswer: 0.5, -1, -12937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 1 + -1 + 7 + -8 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + 5 - (-3 + -2 - (-2 + -20) - -11)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-8))\/(-2*2\/16).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**3 + 2511*x**2 - 2501*x**2 + 0*x**3 + 11*x. Calculate f(-9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -10 and 0.387.\nAnswer: -3.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 4368 = 3*v, 2*b - b - 5*v - 1438 = 0. Let j = b - 986. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/96 - 1\/(12\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 = -2*p - 3*p - v, 0 = p - v - 10. Solve 5*g - 7 = -5*j - 2, 2*g + 5*j = p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -4, -15, -26, -37, -48, -59?\n\"Answer: -11*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the third derivative of a**6\/40 - a**5\/20 - a**4\/8 + a**3\/2 - 4*a**2. Factor b(i).\nAnswer: 3*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -905.825 to the nearest integer.\nAnswer: -906","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + d + 164 = 0, 6*x - 3*d = 8*x - 172. Let f = -60 + x. What is the remainder when 89 is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 51668 - 12921. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -30 - -1. Let h = -14 - z. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**3 + 11*h**2 - 7. Let j be k(-4). Let v(s) = 5*s + 21. Let n be v(-14). Let x = j + n. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -51 (base 6) in base 11?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2\/267 - 805\/534. Let n(r) = 2*r**3 + 32*r**2 - 34*r - 4. Let y be n(-17). Put -2, -0.2, y, v in descending order.\nAnswer: -0.2, v, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 4*p - 4 = 0, 5 = -4*p - p. Let r be s + -2 + 3\/1. Let q = -0.8 + 0.5. What is the closest to r in 0.5, -5, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*b**3 + 2*b**3 + 3*b**3)*(2*b + b + 0*b)*(-6 + 4 + 3 + (-3 + 1 + 1)*(-7 + 3 + 3) + 4 - 4 - 3) to z*b + n + a*b**4 + o*b**3 + q*b**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.246661 to two decimal places.\nAnswer: 2.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y + 1. Let d(i) = -2*i + 3. Let s be 3*((-14)\/(-3) - 5). Determine s*d(t) + 5*l(t).\nAnswer: -3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 0, -52, -132, -234, -352, -480, -612, -742?\n\"Answer: j**3 - 20*j**2 + j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 5, w: 4, u: 3, a: 1, g: 1}. What is prob of sequence ag?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**3 - 91*d**2 - 275*d - 650. Let o be f(94). Suppose -l - 2 = 0, -l = 3*w + 20 - 9. Put o, w, 2 in increasing order.\nAnswer: w, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 22137 and 5377407?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 times -26059?\nAnswer: 312708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -926 - -7271. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -10*l - 3. Let h(j) = -3*j - 1. What is 4*c(x) - 14*h(x)?\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -2583, -2574, -2565, -2556, -2547?\n\"Answer: 9*p - 2592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (-3 - -11) - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + k - 30 = 33, 0 = 5*x + k - 105. Let m(h) = 1114*h + 103. Is m(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*i + 3*i + 0*i)*(-4 + 5 - 3) + (1012*i + 2123*i - 1475*i - 3)*(-1 - 1 + 3) to the form h*i + m and give h.\nAnswer: 1662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*p - 58504 + 15*p - 58495 + 11*p + 116999.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 23*i - 6 + 6 in the form m + r*i and give r.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m + 5 - 3. Suppose l - m = -s, -6*l - 9 = -s - 3*l. Suppose s*g = -g. Solve g = -4*t - p - 3, -t + 8 = 2*p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 294\/((10440\/58)\/30)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -465511768 to the nearest ten thousand.\nAnswer: -465510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 18870668?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(1\/2))**(-10\/7))**18 assuming h is positive.\nAnswer: h**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.9  (b) -2  (c) -23872\/3  (d) -2\/23  (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**4\/5 - 149*f**3 - 766*f**2\/5 + 2984*f.\nAnswer: f*(f - 746)*(f - 4)*(f + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -450, -859, -1268, -1677, -2086?\nAnswer: -2495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 49*c - 179. Give h(3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Are -18 and 210 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -10120 (base 5) to base 15\nAnswer: -2e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*o + 134 = 194. Let d(i) be the third derivative of -1\/320*i**6 + 0 - 12*i**o - 3\/160*i**5 + 0*i + 0*i**3 - 1\/32*i**4. Factor d(s).\nAnswer: -3*s*(s + 1)*(s + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**2\/3 - 418*f\/3 - 140.\nAnswer: 2*(f - 210)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/24 and 6\/(-27) + (-39)\/(-6).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -4*w**3 - w. Let i(y) = 2*y**2 - 9*y + 3. Let d be i(4). Calculate b(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 3*t + 38. Let f be o(-11). Sort f, -4, -9 in increasing order.\nAnswer: -9, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 110 and 48712862.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.454756 millilitres in litres?\nAnswer: 0.000454756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 745 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1434124144 - 1?\nAnswer: 1434124143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -2*f**2. Let w(r) be the second derivative of 3*r**4\/4 + 39*r. Determine t(w(z)).\nAnswer: -162*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**3 + 1. Let z be s(2). Let u(q) = -q**3 - 7 + 2*q - 3 + q + 0*q**3 + 9*q**2. What is the units digit of u(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 3042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 731892 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -529 = -g - 3*d, 3*d - 8 = 5*d. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/25 in 2\/49, 3, -0.7?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 + 2*m - 3 - m - 2*m + 5*m + (2 - 2 - m)*(-2 - 4 + 4) - 347*m - 1660 + 1658 + 13*m.\nAnswer: -328*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -11993, -11994, -11995, -11996?\n\"Answer: -u - 11992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-9\/4)*h**(2\/5))\/(h**(-6))**(-38) assuming h is positive.\nAnswer: h**(-4597\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 divided by 25?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -33, -6, 213, 5, 3, 1 in decreasing order.\nAnswer: 213, 5, 3, 1, -6, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express i**4 + i**4 - 3*i**4 + (-8020 - 8*i + 2204 + 3*i)*(0*i**3 - 3*i**3 + 5*i**3) as l*i**3 + q*i**2 + x*i**4 + d + m*i and give l.\nAnswer: -11632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = -4*s + 2872, 1804*s + 2*l = 1805*s - 708. What is the remainder when s is divided by 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 minus -584.2325?\nAnswer: 587.2325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l + 2*z - 3*z + 197, -5*l + 245 = z. Suppose 3*g = 5*y - 657, y - 1955*g + 1954*g = 129. Calculate the remainder when y is divided by l.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (11 + (-305)\/35)\/(2\/91). Calculate the highest common factor of 1534 and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l - 16, 0 = -p - 36*l + 41*l + 1525. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 57912 = 5*p + 52032, -274898 = -5*i + 3*p. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 46, 118.\nAnswer: -4, 46, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6773 - 6786. Let n(d) = -d**3 - 15*d**2 - 16*d + 20. Determine n(f).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51*p**5\/5 + 4544*p**4\/5 - 88559*p**3\/5 - 588114*p**2\/5 + 167868*p + 158760 = 0 for p.\nAnswer: -6, -2\/3, 30\/17, 45, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*b**3 - 5260991957*b**2 + 5260991957*b**2.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 70435153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a - 20 = -5*s, -12*a + 12 = 4*s - 9*a for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 - 188 = -h. Suppose -b - h = -3*b. Let i = b + -49. Calculate the remainder when i is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u**3 + u - 30. Let h(z) = 8*z**3 - 4974*z - 180. Calculate 6*a(t) - h(t).\nAnswer: -2*t**3 + 4980*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**32)**(-39)*((x\/((x*x*x**(-44))\/x))\/x)\/x**(-2\/31) assuming x is positive.\nAnswer: x**(-37353\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*h*j*p - h*j + 3*h*p**3 + 15*h - j*p**3 - j*p**2 + 7*j*p - 266*j - 36357503*p**3 + 4*p**2 wrt p.\nAnswer: 18*h - 6*j - 218145018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 697870 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**3 - c**2 - 7*c - 14. Let n be (2\/3)\/(2\/6). Suppose -3*h + 74 = 3*z - h, -134 = -5*z + n*h. Calculate the least common multiple of d(4) and z.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z = -9*z - 4*r + 9, -5*z = -5*r for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 4, j: 3, v: 5, c: 2, l: 5}. What is prob of picking 1 j, 1 l, and 1 v?\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 892321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + ((sqrt(4500) + 3*sqrt(4500) - sqrt(4500))\/sqrt(9)*5 - (-4*sqrt(60)\/sqrt(4))\/(-2*sqrt(147) - sqrt(3))))**2.\nAnswer: -8984*sqrt(5)\/15 + 5044696\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3806 and 86846.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 7) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 26362076 less than 102?\nAnswer: -26361974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 plus -198.5?\nAnswer: -224.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = 3*c + 9, 5*c + 7 + 8 = -b. Suppose -2*d + 23 - 7 = b. Solve -t = t - d for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 272, 1152, 2508, 4250, 6288, 8532?\nAnswer: 10892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44 is divided by (-18)\/(-6)*-2*6\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-1\/3))**(4\/7))**(-18) assuming n is positive.\nAnswer: n**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 295*r**2 - 1349*r**2 + 290*r**2 + 292*r**2 + 178*r**2 + 288*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*l*q**3 - 4*l*q**2 + 49*l - 2*q**3 + 2*q + 1 wrt q?\nAnswer: 12*l*q - 8*l - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-66 + 399 - 165)*(3*f**3 - 3*f**3 + 2*f**3) as w*f**2 + s + p*f**3 + v*f and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -55470, -56379, -57288, -58197, -59106?\n\"Answer: -909*b - 54561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o**3 + o**2 - 8*o + 1. Let s(j) = -17*j**3 - 4 - 5*j**2 + 34*j - 17*j**3 + 39*j**3. Let p(w) = 9*f(w) + 2*s(w). Calculate p(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*d**2 + 0*d**2 + 4*d**3 + 677890 - 677891 + 19*d - 10*d**3 to the form f*d**2 + w*d**3 + x*d + b and give x.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 5, 24, -43?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 26163?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9 - (-18 + -10)) + -13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 51096274?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -5468*1940\nAnswer: -10607920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 511017113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 5*i + 28, -2*i + 40 = 4*q - 4*i. Suppose -3*f - 5 = -q*f. Is 1 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (54\/(-9))\/((-72)\/40*15\/306)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 187 = -t, 5*f - 5*t + 84 = -181. Let m = 45 + -73. Let k = m - f. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 86092632 to the nearest integer?\nAnswer: 9279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(2\/5))**(-4))**(-12\/7) assuming q is positive.\nAnswer: q**(96\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -418.8396 - -419. Round b to 3 decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -40 + (-3 + -1 - (6 + (-24 - (1 - 6))))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*j + 13*j - 6*j**3)*(0 + 4 - 2)*(1 + 1 - 8).\nAnswer: 72*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 k when two letters picked without replacement from {y: 3, e: 6, z: 2, k: 3, i: 4}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*k**2*u**6 - 27*k**2*u**2 - 1313*k**2*u + 3308*u**6 wrt u.\nAnswer: -240*k**2*u**3 + 396960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 396\/(-1001) + 12\/(-26).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 203613718 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -36 + 76. Suppose 0 = 4*f + 20, f + t = -5*w - 2*f. Let p(s) = -s**2 + 8*s - 9. Let d be p(6). Sort d, -1, w in increasing order.\nAnswer: w, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ryrr when four letters picked without replacement from yyrrryyyyyyryyyr?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 12) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (70\/(-25))\/(11\/(220\/(-8)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.162 times -0.5\nAnswer: 0.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -2 - 2 - 1. Let v(i) = -i - 9. Suppose 21 = -3*s + 5*m, -4*s + 5*m = 14 + 4. Give s*v(j) - 5*b(j).\nAnswer: -3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**3 + 2*w**2 + 2*w - 3. Let y be d(3). Let o(q) = -q**2 - 7*q - 7. Let a be o(y). Let g be (-406)\/82 + (47 - 42). Is g >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*x + 2*x - x)*(0 - 2*x**2 + 0) + (-3*x**2 - 5*x**2 - x**2)*(6*x - 4*x - x) to the form m*x**3 + q*x + a + g*x**2 and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13333010132 (base 4) to base 12.\nAnswer: -84b512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1773 * 12\nAnswer: 21276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 - -3. Solve -2*z + r = -3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by -1100.\nAnswer: 1\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the second derivative of -19*h**4\/12 - 13*h**3\/6 - 8*h. What is the second derivative of i(g) wrt g?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -1370*k**3 + 1129*k**2 + 8*k + 2. Let h(l) = -2737*l**3 + 2259*l**2 + 14*l + 4. Let z(p) = 4*h(p) - 7*s(p). Find the third derivative of z(c) wrt c.\nAnswer: -8148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1694 divide 20048490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 49ab + d?\nAnswer: 49ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**3\/7 - 132*b**2\/7 + 410*b\/7 - 276\/7.\nAnswer: -2*(b - 2)*(b - 1)*(b + 69)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express h - 3*h - 3*h in the form v*h + t and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 38741 (base 13) to base 9\nAnswer: 168305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 62187 + -35277. Is 115 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 24560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 60\/113 - 19058\/26103. Calculate the common denominator of q and 4\/315.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/((l\/l**(-23))\/l))\/(l\/((l*(l*l**(-12\/13))\/l)\/l)) assuming l is positive.\nAnswer: l**(-311\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2999485 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 223978, 3\/41, -5 in descending order.\nAnswer: 223978, 3\/41, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5305 - 5285. Let n(i) = i**2 + 14*i - 9. Let v be n(-15). Solve 5*x - 14 = -3*g, 5*g = -v*x + x + y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.3 and -28121.\nAnswer: -8436.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 191*q**2 - 589*q**2 - 8 + 193*q**2 - 28 + 203*q**2 + 36.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the second derivative of r**5\/10 - 39*r**4\/4 - 29*r**3\/3 - 63*r**2\/2 - 7848*r. What is g(59)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-5)\/3)\/(37\/(-333)). Let t(l) = -2*l**3 + 32*l**2 + 6*l - 7. Is t(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1613709 is divided by 300?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -479 or -76015\/159?\nAnswer: -479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/(-16) + 21791\/(-4528). Let u(w) = -6*w - 22. Suppose 3*g + 39 = -4*o + o, -5*o - 92 = -4*g. Let c(l) = 2*l + 7. Calculate o*c(m) + t*u(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -641*f - 27 = -13*t - 637*f, 18 = t + 5*f for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -3*v - 7. Let f be 2\/((1 - -3)\/(-8)). Sort -5, v, f in ascending order.\nAnswer: -5, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30.17821ml in litres?\nAnswer: 0.03017821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.08 - -3.1. Let o = w + -0.089. Let n = o - -0.118. Round n to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4218310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 32329701 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 61 - -a0?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, e: 6, c: 1, q: 4, g: 1, v: 3}. What is prob of sequence cqg?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(11) + sqrt(44) + sqrt(11) + -1*sqrt(1331))**2.\nAnswer: 42*sqrt(11) + 548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -396 + 479. Let r be 727\/9 - (-10)\/45. Let s = f - r. Solve -3*h + j = -0*j, 3*h = -s*j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42 + 67 - 3*f**2 - 25.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) 212  (b) -4\/3  (c) -2\/3  (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-888)\/18 - -4)*60\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1239189857 to five dps.\nAnswer: -0.12392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5\/6 or -6473893?\nAnswer: -6473893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 4*o = 2513004, -3406233 = 5*q - 3*o + 9158764. What is q rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 18352.74938 to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 32*g + 5 - 30*g + 24 in the form u + b*g and give u.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 48*o - 12. Determine l(-2).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(17) - (5 + sqrt(68)\/sqrt(4))) + sqrt(272)*2 + sqrt(272) - (sqrt(68) + -1 + -1))**2.\nAnswer: -60*sqrt(17) + 1709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the second derivative of 1\/40*d**5 + 0 - 5\/12*d**3 + 1\/12*d**4 - 3\/2*d**2 + 27*d. Find o, given that w(o) = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*z + 0*z + 3*z)*(-3*z - z - 5*z + 0*z).\nAnswer: -81*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*((sqrt(65) - 3*(sqrt(65) + sqrt(65)*2)) + (sqrt(65) - (sqrt(65) - (sqrt(65) + 1*sqrt(65))))*4))\/(sqrt(720)*2 + -5*-1*sqrt(5) + sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-14)\/18 + 2\/(-9) + 13. Let v(u) = 7*u - 6. Let n be v(6). What is the greatest common divisor of i and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -15*f - 8. Suppose 26 + 13 = 3*w. Suppose w = 6*m + 49. List the prime factors of n(m).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 863 - 861. Let u(s) be the third derivative of 1\/60*s**5 + 0*s**3 + 0*s**4 + 0 + 0*s + 10*s**k. Factor u(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 72 + 26 - 244 + 2*i + (2*i - 2 + 2)*(-2 - 1 + 5) + (2*i - 3*i - 2*i)*(1 - 7 + 1) - 3*i + 0*i + i to y*i + h and give y.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*r - 2*r - 4*r)*(r**2 - r + r)*(-2*r + 2*r - r + r + 3*r - r + (5 - 5 - 2)*(3 + 2*r - 3) + 0 - 2*r + 0 - 2*r + 1 - 1).\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y\/(y\/y**(3\/10))*y**(-1\/11)*(y*y**(-1)*y)**(20\/7) assuming y is positive.\nAnswer: y**(2361\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 8*t**3 - t**2 + t - 1. What is c(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30 - (-21 + 1 - -37)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -26721*m + 26686*m + 455 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5572?\nAnswer: 2, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, x: 2, h: 9, b: 2, r: 5}. Give prob of picking 2 h and 2 x.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 68883415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*n, -2*k = -5*n - 1132 - 165. Let m = 5215\/8 - k. Let y = m - -23\/8. Which is greater: 4 or y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g + g - 3*g + (0*g + 4*g - 2*g)*(2 - 2 + 2))*(1 - 2 + 2).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1114 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add 32.72081335 and 0.03.\nAnswer: 32.75081335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -38, 562, 3 in decreasing order.\nAnswer: 562, 3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*z - 1337000 = -7*z. Round z to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 r and 1 k when four letters picked without replacement from kkkkkrrrrkkrk?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(3*(-10)\/75*15).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -85*r**3 + 2*r**2 + r - 2. Calculate w(1).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5874 - 1285. What is the remainder when f is divided by 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55067351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -6479.1515 to the nearest integer.\nAnswer: -6479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 64*r - 139*r + 8550. What is the remainder when 2161 is divided by r?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 5*x**3 - 4*x + x**2 - 4*x**3 + x + 2. Let a = 2 + 0. What is the units digit of l(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 divided by -2216.\nAnswer: 7\/2216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7?  (a) 1\/5  (b) 0.6  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from adaazzadcaac. What is prob of sequence ddzz?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8 and 287.\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -112469761613917\/1616563731 - 656\/11464991. Let x = 69573 + g. Calculate the common denominator of x and 14\/33.\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1143075862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -31130*c + 3268607. Calculate w(105).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand m + 2*m - 1109 + 607 + (3 + 1 - 3)*(0*m + 4*m - 6*m) - 4*m - 2*m + m.\nAnswer: -4*m - 502","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 650 and 356319275.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 14 - 1 = 0, 0 = 4*w + b - 397. Let r be -3 - w\/(-24) - 2. Let h = 121 - 121.1. Sort r, -1\/4, h.\nAnswer: r, -1\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, a: 19}. Give prob of sequence aca.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from {i: 1, m: 1, k: 1, l: 1, n: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9540)\/(-69615) - (-3 - (-60)\/16)*(-16)\/(-78)?\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 220.8 + -201. Which is bigger: -2\/5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16854432 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1115393?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1034425 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 139*i - 134*i + 2*s + 21, 222 = -2*i - 40*s - 100 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f - 2 = 23 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -534*q - 2*y + 48 = -255*q - 268*q, 18 = 2*q + 5*y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -l**4\/4 - 2199*l**3\/2 - 48287*l**2\/4 - 65805*l\/2 = 0?\nAnswer: -4387, -6, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1870, -1772, -1676, -1582, -1490, -1400?\nAnswer: -1312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 40*g**2. Let o(p) = 5*p**2 + 6*p**2 - p**2 - 8*p**2. Give o(s(x)).\nAnswer: 3200*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let -75*i**5\/4 - 91455*i**4 - 584463*i**3\/4 + 1601643*i**2\/2 - 299868*i + 29256 = 0. What is i?\nAnswer: -4876, -4, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/3*(-2)\/(((-40)\/(-12))\/(-5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the third derivative of -m**5\/60 + m**4\/12 + 11*m**3\/3 - 762*m**2. What is u(7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19307.4273 seconds in weeks?\nAnswer: 0.03192365625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -301 (base 6) to base 12\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k*((k\/(k**28*k))\/k)\/k))**(-6) assuming k is positive.\nAnswer: k**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.5  (b) -4  (c) 3237  (d) 3  (e) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 900 (base 11) to base 13\nAnswer: 65a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/21 in -1, -36, -5\/3, -4\/3, 352?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 o when two letters picked without replacement from arroaorooarrrar.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 52453*o**2 - 3*o - 26225*o**2 + o - 26195*o**2 - 22*o**3 to p*o**2 + s*o**3 + v + h*o and give s.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1727 + -1733. Let d(g) = 66*g**3 - 17*g**2. Let j(o) = -22*o**3 + 6*o**2. Determine t*d(c) - 17*j(c).\nAnswer: -22*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -3\/20, 0.4, -0.5?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -307*g + 288*g. Let h = -5\/6 - -1\/6. Put g, h, -7 in descending order.\nAnswer: g, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 - 3 = -4*d - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 866710 is divided by 1370?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1812.2 and -23?\nAnswer: 41680.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d\/(d\/(d\/d**(-3\/5)))*d*d**(-10\/13)*d assuming d is positive.\nAnswer: d**(184\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0*((-21)\/(-12))\/(-7)*2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 163 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3*p*t*w + 3*p*w - 13616*t**2*w - 2*t**2 - 401211*w - 1 wrt t.\nAnswer: -3*p*w - 27232*t*w - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, 3\/5, -0.2, 191?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes after 8:13 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*i - 41*i + 797*i**2 + 24*i.\nAnswer: 797*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add -157413 and -15.6.\nAnswer: -157428.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -9939572 from -5.\nAnswer: 9939567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 134728043\/23732605 - -2\/365117. Let q = d - 66\/13. What is c in -c**4 + 0 + q*c**3 - 4\/5*c**5 + c**2 + 1\/5*c = 0?\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h - 4*v - 52, 2*v - 6 = 4. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 60 = -n. Is -274*((-2)\/(-5))\/(n\/75) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -49 times -26\nAnswer: 1274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 40001 + -800363\/20. Let h = 71\/4 + m. Which is the smallest value?  (a) h  (b) -0.2  (c) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 25 and -1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2580 - 2585. Which is the second biggest value?  (a) o  (b) -1.8  (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 46, -4, 21, 83 in descending order.\nAnswer: 83, 46, 21, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2034 - 428 = -146*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 - 1 + 1)*(-41 - 47 + 4) - 1 - 1 - 1)*(2*s**3 - s**3 + 2*s**3).\nAnswer: 495*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 2575 = d, -5*d - t + 8764 = -4139. List the prime factors of d.\nAnswer: 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-2)*a**(2\/9)\/a*a**(-3)*a**0 assuming a is positive.\nAnswer: a**(-52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -41152494943 + 41152557448.069998. Let g = -62505 + z. Let d = g + -0.07. Round d to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 230*i - 54 = 43*i + 100*i + 33 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/10*(-3)\/(-2)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9 - -6. Let y be (-1)\/(s\/(-63)*-1). Let p be (-2)\/5 + (-17)\/(-5). Solve 2*q = o + 9, -p*o - y = -4*q - 0*o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7424071 is divided by 121706?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in m - 21 + 0*m - 55.\nAnswer: m - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 536813 is divided by 146?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(3\/2)\/(a**(-3\/11)*a) assuming a is positive.\nAnswer: a**(17\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4428, -4507, -4586, -4665, -4744, -4823?\nAnswer: -4902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -3*d + 16144. Suppose -x - 1272 = -d. What is x rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = -25 - 27. Let m = g + -24. List the prime factors of -4*m\/(-4)*69\/6.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -142*c + 101*c - 111*c = 158*c + 23870 for c.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 574*j**4 - 5*j**2 - 541*j**4 + j + 1117*j**4 to the form a + v*j**3 + c*j**4 + w*j**2 + l*j and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 38080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.07 in -3\/8, 160, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 501383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 2*u = 113, 0 = -4*h - 15*u + 10*u + 160. Solve -3*s - h = 4*l - 6*s, 5*s = -l + 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -1 + (1 - 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 218378441?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 333953 is divided by 333915?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t + 0*a = a - 15, -3*a = -5*t - 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9207 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -65 + 71. Let d = -4 + t. What is the nearest to -0.3 in 4, 3\/5, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5812 + 378 = -13*w. Does 22 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i + 14. Let u be a(-6). Let q = u - 8. Solve q = 3*s + 2*r - 10 - 9, -4*r + 13 = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f + 2*i + 0 = -9, 4*f + 10 = -2*i for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 108112 - 151812. What is k rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x + 6*x + 5. Calculate the remainder when 20 is divided by (2 - -6) + (-3)\/x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 50953618?\nAnswer: 2, 311, 81919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -15 - -21. Calculate the lowest common multiple of 16 and (-4 - -24)*3\/q.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12612 + -12533. What is the greatest common factor of 1975 and c?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (303*c - 625*c + 236*c)*(-4*c + 8*c + 0*c)*(3*c**2 + 2 - 2) to the form i*c**4 + n + y*c**3 + l*c**2 + j*c and give i.\nAnswer: -1032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -a + 5*u, -15*a - 3*u = -16*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6 and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = x + 29, 0 = 4*j + 3*x + 2*x. Which is the third biggest value?  (a) 3  (b) j  (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -11*l. Let c(p) = -5*p**2 + 0*p**2 + 3*p**2. What is o(c(g))?\nAnswer: 22*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 7*g. Let w(b) = -11357*b. Determine s(w(q)).\nAnswer: -79499*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 12.89 + -0.29. Let l = r + -13. Let u = -6 + 4. Which is the third biggest value?  (a) -0.3  (b) u  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 209718212 + 0.026.\nAnswer: 209718212.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.05, -0.01, -0.2, 18, -7\/6 in ascending order.\nAnswer: -7\/6, -0.2, -0.01, 0.05, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 4, -9, -5, -3 in decreasing order.\nAnswer: 5, 4, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - 0*d + 5*d - 35, 5*f + 3*d = 33. Suppose -f - 2 = -4*o. Suppose 0 = o*m - 5*m. Solve m = 5*j + 2*u - 13, -u + 20 = 4*u for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 2 = 26. Let s be 1 + n\/(-21) + -2. Let m = -1.4 + 1.7. What is the biggest value in s, 2, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 214014 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 - 4 - -1) + -3 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes after 2:25 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9455964 by 64.\nAnswer: 2363991\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/9)\/(16\/(-48)*2)*9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1010712359?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -3\/23309?\nAnswer: -3\/23309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11530?\nAnswer: 2, 5, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9680 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-8\/7)\/((c\/c**(-2\/51))\/c))**(-20\/11) assuming c is positive.\nAnswer: c**(8440\/3927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j**(-3\/4)\/j)\/j)\/(j**6*j))\/(j**(-1\/3)\/j)**34 assuming j is positive.\nAnswer: j**(427\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that 21*h**4\/2 - 75*h**3\/2 - 153*h**2 + 564*h - 384 = 0.\nAnswer: -4, 1, 2, 32\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -52 - -55. Calculate the highest common divisor of a and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 14477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-2\/5))**35\/(n\/(n**(-2\/3)\/n)*n**(1\/8)) assuming n is positive.\nAnswer: n**(437\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dnd when three letters picked without replacement from {n: 1, d: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = -5*m + 3*o - 7, -4*o + 52 = 4*m. Let l be ((m - -3)*1)\/2. List the prime factors of 3\/l - 58\/(-4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -3*i**2 - 68*i - 339. Calculate s(-5).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.08338*117.17.\nAnswer: 9.7696346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6e3 (base 15) to base 6.\nAnswer: 11123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tii when three letters picked without replacement from iti.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**3 - 52*k**2 + 157*k - 565. Give p(-55).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h + 0*h**3 - 4*h**3 - 2*h + h**3. Let j = -27 + 43. Let x be 66\/j + (-3)\/24. Let s(a) = 5*a**3 + a. What is x*s(n) + 7*f(n)?\nAnswer: -n**3 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:22 AM and 11:04 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3596, -17488, -40640, -73052, -114724, -165656?\nAnswer: -225848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -57266 divided by -11\nAnswer: 5206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 212 and 11?\nAnswer: 2332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 4416 divided by -1104\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 187 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 239 + -186. Let w = -53.1 + q. Which is bigger: w or -0.053?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 3*g + 5 = 0, -2*k - 62*g - 10 = -60*g. Sort -3\/7, 102, -0.3, -3, k.\nAnswer: k, -3, -3\/7, -0.3, 102","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -564074 + -1?\nAnswer: -564075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*g**2 - 5*g**4 + 4*g**4 - g**4 + (-g + 38*g + 9*g)*(-72*g + 10*g**3 + 72*g).\nAnswer: 458*g**4 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 61 + -65. Let z(x) = 21*x + 1. Let v be z(y). Let u = -79 - v. Solve d + 4*w = 3*d + 14, -2*w + u = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p**3 + 10*p**2 - 7*p + 203. What is u(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((5 + (-2 - 4))*-2)\/1. Suppose -3*b + 810 + 3420 = -5*d, -y*b = -2*d - 2816. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ooc when three letters picked without replacement from {o: 1, y: 1, c: 2, f: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/2 and -30\/32219.\nAnswer: 64438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (85\/(-51))\/(5\/(-6)). Suppose 5*x + f = 5*f - 13, j*f = 2*x + 4. What is the third biggest value in -0.5, -4, 1\/4, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, l: 2, a: 5}. What is prob of sequence saa?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -2842 divided by 98?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11 + 1 + b**2 - 2*b**3 - 12.\nAnswer: -2*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (10 - (5 + -5 + 4)) + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13466447\/74908680 + 6\/624239. Calculate the common denominator of -139\/210 and n.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(5)*1 + sqrt(15)\/sqrt(3) + -1 + sqrt(5).\nAnswer: 2 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.3, 0.1, 0, 0.8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1 - 2)*1 + 3. Find the common denominator of 28 and (-584)\/48 - b\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 93429 is divided by 18640?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**3 - 9*o**2 - 12*o - 1. Let j be m(-8). Suppose -b = -4*t - 20, j + 5 = 3*b - 4*t. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-74442)\/171)\/((-2)\/60). Calculate the greatest common factor of l and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 248678 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*u - 109 = -21 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.3 and 17258618910?\nAnswer: 17258618909.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1 and 27354120?\nAnswer: -2735412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1035 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 672  (b) -0.08  (c) -0.122\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8\/23 + -254\/69. Let v = 587 - 1784\/3. Calculate the common denominator of v and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000741999735 rounded to six decimal places?\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 29 + -8. Let y be 3\/s*(-7)\/(-2). Let o = 28 + -86\/3. Is o smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 + 2\/(-3))\/((-95448)\/1674 - (321 - 378)).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-2)*n*n\/n**1*n**3\/(n\/(n\/n**(-3\/4)*n)))\/(n**(4\/9)*n\/n**(2\/25))**(-19) assuming n is positive.\nAnswer: n**(27607\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**3 - 3*n**2 - 9*n - 2. Calculate q(4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the third derivative of 7*s**4\/12 - 3*s**2. What is the common denominator of u(2) and 70\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -24848223 divided by 32\nAnswer: -24848223\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 76493*p**4 + p**2 - 17*p + 53 wrt p.\nAnswer: 1835832*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-10) + (-39)\/5. Let x = w + 7. Let r(s) = 0 + 54*s - 44*s + 0 - 26*s. Determine r(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*o - 22*o - 19*o**3.\nAnswer: -19*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -2*g. Let y(d) be the first derivative of 19*d**2 + 39. What is y(v(a))?\nAnswer: -76*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -55 + -9 + (58 - (88 + -35))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 3 = -429*p + 432*p, -3 = -3*p - 4*r for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**3 - 51*y**2 + 4*y + 757. What are the prime factors of s(62)?\nAnswer: 73, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -143 divided by -11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3016563.000026 - -3016560. Let u = 3 + d. What is u rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and 9.8498344.\nAnswer: -19.6996688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 75 = b + 79, 2*b - 8 = 4*h - b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 0.2483382km?\nAnswer: 24833.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/3, 0.2, -2, 2.54 in decreasing order.\nAnswer: 2.54, 0.2, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 932818 and 28.4.\nAnswer: 26492031.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 132*x - 14 = 134*x + c, 9*x + 5*c + 64 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 821, 1688, 2557, 3428?\n\"Answer: j**2 + 864*j - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 4*k**2 - 127*k + 395. Calculate the remainder when 4898 is divided by g(3).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(153)*2.\nAnswer: -5 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -21, -114, -283, -540, -897, -1366?\nAnswer: -1959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-2\/11))**(7\/6)\/((i*i\/i**(5\/3)*i*i)\/i)**40 assuming i is positive.\nAnswer: i**(-589\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**4 - 17346*p**3 + 75203581*p**2 + 150459204*p + 75238276.\nAnswer: (p - 8674)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 71*p - 4666 + 14*p - 23*p + 4666.\nAnswer: 62*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 2*v**2 + 1. Let z be a(-1). Solve 1 = 2*d - z*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z**2 + 3*z**2 + 0*z**2)*(3 - z - 3 + (4 - 4 + 2)*(0*z + 0*z + 2*z))*(-2*z - 64*z + 4*z).\nAnswer: -744*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**2. Let f(d) = -18 + 2 - 2 - 17*d + 16*d. What is x(f(p))?\nAnswer: -p**2 - 36*p - 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 218137 (base 10) in base 12?\nAnswer: a62a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**(1\/8)*i)**(-2\/19)\/((i\/(i**(-4)\/i*i)*i*i)\/(i\/(i*(i*i**(4\/9))\/i*i)*i)) assuming i is positive.\nAnswer: i**(-5227\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -28346 + 50967. List the prime factors of o.\nAnswer: 22621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3228803819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -238 - -163. Let k = v + 105. Let z be (-2)\/k*(-6 + 3). Which is bigger: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 123032 + 102?\nAnswer: 123134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(7\/8)\/u**9*(u*u**4\/u)**(-47) assuming u is positive.\nAnswer: u**(-1569\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of (-19)\/((-2052)\/18)*(0 - -218634)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 44 + -67. Let p = 43 + u. Let g = -42 - -62. Calculate the highest common divisor of g and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-82*n**5 - 93*n**5 + 12*n**5 + 15*n**2)*(-1 + 7 - 2).\nAnswer: -652*n**5 + 60*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4737 - 4233. Calculate the smallest common multiple of 84 and f.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -17\/33 - -2\/11. Let n be 6\/(-39) + (-964)\/(-182). Let t = n + -382\/77. Put t, -0.1, y in increasing order.\nAnswer: y, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**2 - 5*i + 2. Let z be s(6). Suppose -4*a + 368 = 5*j, -5*j + 427 = -a + 69. Calculate the greatest common divisor of z and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 2*o**2 - 4*o + 4. Suppose 0 = 2*f - 22 + 16. Determine x(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 11, u: 5}. Give prob of sequence uuu.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -z - 17*d + 19*d + 48, -147*z + d + 27 = -148*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -18039*x**4 + x**3 - x + 24150 wrt x.\nAnswer: -216468*x**2 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 151\/1080 - 2\/135. Let f = 30.2782 + -35.2782. Which is the nearest to -0.6?  (a) -0.5  (b) -2  (c) s  (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 948164?\nAnswer: 2, 7, 33863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18*o**3 + o**3 + o**3)*(-o**2 + o**2 - o**2).\nAnswer: 16*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 948.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*n + 4*k + 12178 - 12142, -40 = -2*n + 4*k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -66*v - 124*v - 20*v + 35*v - 111*v as q*v + i and give q.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2\/43631 - -87256\/130893. Which is the nearest to 0?  (a) 2\/5  (b) -0.03  (c) 6  (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(5) + (-6*(0 + sqrt(5)) - sqrt(5)) + sqrt(20)\/sqrt(4) + 3 + 4)**2*-6.\nAnswer: -1236 + 540*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**3 + 2*c**2 + c + 1. Let o be z(2). Suppose 2*n + o*n + 5 = -5*j, -3*n + 2*j + 7 = 0. Which is bigger: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bmm when three letters picked without replacement from miikmbi?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 12388\/5 + -2478. Which is the nearest to -40?  (a) f  (b) 0.3  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2299457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (((-80)\/(-12))\/2 - 1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 55646584?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 5*x, -5*s - 26 - 16 = 2*x. Let f be s*4*2\/(-2144). What is the biggest value in 1, f, -3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -50, -70, -124, -230, -406, -670, -1040?\n\"Answer: -3*u**3 + u**2 - 2*u - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 8224364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 16) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-69872)\/32)\/((-6)\/24). Calculate the greatest common factor of z and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3791 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 51192 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 23574210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -3*s + 55, m = -5*s + 24 + 65. Calculate the lowest common multiple of 16 and s.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, d: 4, u: 4, b: 4}. Give prob of sequence db.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -2166*l + 261018. Give h(122).\nAnswer: -3234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1217986738 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2293000 and 17600.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 r, 1 o, and 1 z when four letters picked without replacement from {k: 1, o: 1, h: 1, r: 1, z: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2946, 5881, 8814, 11745, 14674, 17601?\nAnswer: 20526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, 0, -22, -4, -0.14?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1109 + 1151. Let m(h) = 42*h + 1. Let x be m(1). Suppose k - x = w. Is 26 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 4*d + 41 + 9 = 0, 0 = -4*i + 5*d + 165. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.01 in -2\/7, 1, 2\/9, 55?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6438?\nAnswer: 2, 3, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the first derivative of -x**4\/4 - 2*x**3 + 2*x**2 - 4*x - 1. Suppose 13 = -7*i - 36. Let d be g(i). What is the greatest common divisor of d and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002267 rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 172*p**2 + 32*p + 1815. Is z(56) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 52*4\/(-8)*-5. Let z = 3303 + s. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 2, r: 6, j: 4, o: 1, a: 3}. Give prob of sequence rjj.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x - 3. Let h be j(4). Let v(b) = 2*b**2 + 5*b + 5. Let n(q) = q + 1. Let f(o) = h*v(o) - 5*n(o). Let l(a) = a. Determine l(f(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 167\/66069840 and -37\/2781888.\nAnswer: 264279360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 52 = 7. Suppose -119 = -4*k + g. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-29289862)\/(-49))\/(0 - (-2)\/7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26010 (base 8) to base 5.\nAnswer: 330042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 + 5*h**2 + 6*h. What is q(-5)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sum -320 and 12811628.\nAnswer: 12811308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(6048) + -2*sqrt(6048)) + sqrt(6048))\/(sqrt(60)\/(sqrt(10)*2) + -5*sqrt(24)\/sqrt(4)).\nAnswer: 16*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 156042 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a + 0 + 0)*(0 - 2*a + 0) + 7*a**2 - 3*a**2 - 3*a**2 + 11*a**2 + 15*a**2 - 47*a**2.\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 78 (base 13) to base 7.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -597 - -592. Put 2, -0.3, -1\/8, s in ascending order.\nAnswer: s, -0.3, -1\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 - -30. Factor 2 + 3 - 65*h**3 + 75*h**2 - 69*h + i*h + 20*h**4.\nAnswer: 5*(h - 1)**3*(4*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2086 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes before 6:48 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 29 + -6 + -3 - 7 - (1 + -7)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 14694 divided by -11\nAnswer: -14694\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 52750673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 23047519850 rounded to the nearest 1000000?\nAnswer: 23048000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**2 - 6*s + 3. Let o be t(-3). Let c be (o\/(-10))\/(2\/(-5)). Let l(z) = 0*z + 1 + c*z + 8 + 4*z. Let g(x) = -3*x - 4. Determine -9*g(f) - 4*l(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p + 4*p - 3*x - 24, 2*p + 4 = -2*x. Solve p*v - 4*w - 26 = v, -w - 8 = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 19, -1, 0, 3, 4 in ascending order.\nAnswer: -1, 0, 3, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -24648 by -6162.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 2*m**2 + 2*m + 153. Suppose 2*w = -2*v + 10 - 0, -w + 5 = 4*v. What is the tens digit of i(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -4*(35\/(-4))\/5. Suppose 3 = 4*b + l. Sort -5, b, -2 in increasing order.\nAnswer: -5, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1, -353 in decreasing order.\nAnswer: 3, -1, -353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + sqrt(1100) + 1)*-6)**2.\nAnswer: -2880*sqrt(11) + 40176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add 4 and -354294.\nAnswer: -354290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -969b (base 13) to base 11.\nAnswer: -14794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2573 - -2573.0000005538. What is f rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -5*s**3 + 5*s**2 + 12*s + 11. Let t be g(-9). Let l = -23833\/6 + t. What is the common denominator of l and -67\/126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes before 7:11 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r - 7*r - 2*j = -15, 12 = 4*r - 4*j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (((-2)\/(-10))\/((-176)\/440))\/(1\/220*5)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the first derivative of 4*f**5\/45 - 8*f**3\/27 + 4*f\/9 - 26. Factor s(x).\nAnswer: 4*(x - 1)**2*(x + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11.8 - 11.3. Let k = 0.03 - -1.97. Which is the third biggest value?  (a) q  (b) 5  (c) -2\/7  (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 3070 = -2*c, t - c = c - 769. Let y = -360 - t. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -24*f + 3. Suppose 0 = -2*z - 3 - 3. Let h be m(z). Suppose -4*n + 3 = 3*t, -3*n + 5*n = t - 11. What is the highest common factor of h and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1\/2, -0.1, -0.7, 2, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.1 - -0.3. Let q = -0.02 - -5.02. Let v = -13674 + 13673. What is the closest to v in 4, r, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 828\/184*((-1)\/(-8))\/(2\/16*12).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1030*p + 2066*p - 9*p**3 + p**3 - 1036*p.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 3, j: 1, x: 1}. Give prob of picking 2 i.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1461.8 - -1466. What is the second biggest value in 0.1, 2\/5, m?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, 2\/7, 1\/204, 5\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -178, -130, -82, -34, 14?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6 - 1. Suppose -o = 3, 2*g + 2*o + o = -a. Suppose 3*d - c = c + 93, g*c = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 168 = -0*p. Let q = p - -42. Solve 18 = 5*f - 3*s - 4, 2*f - s - 8 = q for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 3*g - 15 = 0, 3*d = -7*g + 8*g + 15. Let h be 2\/(-4)*(1 + -3). Let l = h + 3. Solve 3 = d*n + 4*k, l*n + 7 = 2*k - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 703*k**2 - 1443*k. Let n(j) = -j**2 + 3*j. Give -2886*n(p) - 6*r(p).\nAnswer: -1332*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-13 - -8) + 4 + 1 + (3 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -4  (b) -1\/2  (c) -273\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 134620399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0\/((-143)\/(-13))*(-4)\/4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 5\/((-5)\/(-58)) - 2. Let r = 35 + 21. Let a = r - v. Solve n + 0*n = -4, -4*b + 5*n + 32 = a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 3*b**3 - 809*b**2 - 188*b - 22147. Calculate s(270).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-98306)\/(-15522))\/(-2*(-1)\/6*-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2 + (-252)\/119 + ((-83)\/17 - -4). Let v(i) be the first derivative of 8*i**3\/3 + i - 8. Calculate v(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15 + 14. What is the least common multiple of ((-12)\/7)\/(30\/(-105)) and (1 - -1) + (n + 0)*-27?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 8.1, -1\/2 in increasing order.\nAnswer: -1\/2, -0.3, 8.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the third derivative of u**6\/120 + 7*u**5\/60 - u**4\/12 - 4*u**3\/3 + 2*u**2. List the prime factors of q(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.179 - -0.179. Let g be 9\/(-45) - (1 - 0). Which is the closest to s?  (a) g  (b) 5  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 229 - 53. Is 33 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 706972 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from {b: 2, q: 3, v: 5}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tr when two letters picked without replacement from {w: 2, b: 1, v: 1, r: 2, t: 2, d: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -5*h - 20. Let s be x(-5). Suppose 0*w = -s*w - 35. Let d be 2\/8 + (182\/40)\/w. What is the second smallest value in 0.4, d, -6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -3*y**2 - 84*y - 546. Give u(-34).\nAnswer: -1158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 3, 2, -47, 60 in ascending order.\nAnswer: -47, -3, 2, 3, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/3*((-630)\/602)\/(-45)?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13158*v + 6766 = 6615*v + 6742*v for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve g - 22 = 4*m, -3*m - 7*g + 10*g - 12 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and 4\/3531843 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 2, b: 8, e: 4, j: 5}. Give prob of picking 2 b, 1 j, and 1 e.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (sqrt(17) - (1 + 2 + sqrt(17))) + -4*sqrt(170)\/sqrt(40))**2.\nAnswer: 28*sqrt(17) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 61 - 1 = 0. Let c be 22491\/6 + z\/(-8). Suppose 0 = -5*o + 2*u - 32508, u + c + 2749 = -o. What is o rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**3 + 9*y**2 - 13*y - 4. Let m(u) = 2*u**2 - 3*u - 1. Let l = -44 + 42. What is l*k(c) + 9*m(c)?\nAnswer: -2*c**3 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32403414 (base 6) to base 2.\nAnswer: 11101011100110100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1154 + -1140. What is the highest common factor of w and 140?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 61190 and 137460?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2548308.999965 - -2548335. Let c = -0.63 - -26.63. Let d = t - c. What is d rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b - 0*b - 55. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 4, m: 10}. What is prob of picking 3 g?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 - -1001111100111101111?\nAnswer: 1001111100111101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35800170 is divided by 1325?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 449270 is divided by 1468.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 360 and 92120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(-2)*(-6)\/8. Let v = 44.05 - 559.65. Let m = -516 - v. What is the nearest to 1 in 4\/3, m, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x**4 - 3*x**4 + 0*x**4)*(3*x - 2*x - 2*x) + (x**4 + 0*x**4 + 0*x**4)*(-1 + 1 + 2*x).\nAnswer: 4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -0*k + 7. Let u(z) = -z**2 - 8*z - 5. What are the prime factors of u(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -184857354545.00000999 - -184857355830. Let k = -1285 + c. Round k to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, 91, 3\/2, 3, 0.4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -5*v + 7*v + 6, -14 = 4*v + 3*c. Is v equal to -22\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, -0.2755, 1\/6, -2\/5, 0 in descending order.\nAnswer: 2\/7, 1\/6, 0, -0.2755, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -3*r - 7. Let v(f) = f - 1. Let c(q) = -o(q) + 2*v(q). Suppose -y = p + 1, -5*p - 14 = y + 7. Let i(x) = 5*x + 4. What is y*c(z) - 5*i(z)?\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 122637777?\nAnswer: 3, 163, 250793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 384750*g. Let t(y) = y. Give t(o(x)).\nAnswer: 384750*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the first derivative of -r**2\/2 - 5*r + 4. Let h(b) = b**3 - 8*b**2 + b + 4. Let a be h(8). Suppose -d = -2*n - 3*d - a, 3*d = -6. Calculate v(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12829595.\nAnswer: 5, 577, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*v**3 - 703*v - 708*v - 738*v + 2149*v.\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve d = 3*y - 2, 5*y + 16 = 5*d + 3*y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -11422269, -11422270, -11422271, -11422272?\n\"Answer: -n - 11422268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*r**4 - 2*r**3 + 2*r**3 + 13216*r**2 - 2*r**3 - 13903*r**2 wrt r.\nAnswer: 96*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.173487 and -0.09.\nAnswer: 0.01561383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 95 = a. Suppose -a = 2*i - 99. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**3 + 11*o**2 + 27*o + 22. Let z be m(-8). Let r be (-4)\/(-2)*4\/(-72). Which is the smallest value?  (a) r  (b) 5  (c) z  (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -619 = 159*m + 3345 + 3191 for m.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-2)\/(-6))\/(11\/231). What is the greatest common divisor of s and 301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the third derivative of q**6\/270 + 3*q**5\/5 + 81*q**4\/2 - 21*q**3\/2 + 51*q**2. Let i(r) be the first derivative of g(r). Factor i(t).\nAnswer: 4*(t + 27)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 368204 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -964, -0.4, -4075 in increasing order.\nAnswer: -4075, -964, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2049847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 177 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 21 - 21. Suppose 0 = 5*c - p*c - 2930. Calculate the common denominator of 4\/6 + c\/(-24) and 37\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + p + 5*y = 23, -4*p - 2*y + 74 = 0. Solve p = -a + 4*u, 0*a - 4*a - 4*u + 8 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*-1*(-4*sqrt(19)*-1 + 3)*-2.\nAnswer: -8*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**2\/11 + 3380772*i\/11 - 3380774\/11.\nAnswer: 2*(i - 1)*(i + 1690387)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 79 + 11. Which is greater: p or 89?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -41, -51, -61, -71, -81?\n\"Answer: -10*r - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 29825 or 29826?\nAnswer: 29825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (10 + -15 + 1 - (3 + -11)) + 14\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*((-4028)\/(-583))\/((-2)\/11)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, x: 1, a: 1}. What is prob of sequence zx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -2*a**2 + 15037*a + 75124. Calculate z(-5).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000036879 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -84*b + 1590. Determine o(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put together -117 and -123754.\nAnswer: -123871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -102244 - 20402001?\nAnswer: -21004300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((sqrt(120) - (2*sqrt(120) + sqrt(120)))\/sqrt(12))\/(sqrt(5) + sqrt(405) + (sqrt(405) - (sqrt(405)*1 - sqrt(405)) - sqrt(405))).\nAnswer: -sqrt(2)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.09774 + 0.0986. Round d to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 3*q + 90 = q, -2*q - 225 = -5*f. Suppose 8 = -f*b + 49*b. Find the third derivative of 6*h**3 + 0*h**3 + h**3 - 17*h**b + 19*h**2 wrt h.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 336\/5 less than 66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-843)\/1967*42\/(-60).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 64*d**2 - 52*d - 30*d**2 - 28*d**2 wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 - -4. Suppose -k*h - 16 = 12. Sort h, -2, 0 in increasing order.\nAnswer: h, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 64317691*w**6 + 3925751*w**2 - w - 7.\nAnswer: 7718122920*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-89)\/(-185) - 0*(-6)\/36. Let p = h + -3\/37. Solve -p + 4\/5*l - 2\/5*l**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8185088929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -28*x. Let c(a) be the third derivative of 49*a**5\/60 + 3174*a**2. Calculate y(c(o)).\nAnswer: -1372*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -50*n - 11 + 9*n - 19*n - 25*n. Let t be j(-1). What is t rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 143, 390, 635, 878, 1119, 1358?\nAnswer: 1595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 35\/6, -4\/7.\nAnswer: -4\/7, 0, 35\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/((-8)\/(-6)))\/(39\/52)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (18\/(-3 + 5))\/((-12)\/8). Let f(b) = -b**2 - 10*b - 18. Let u be f(c). Suppose 18 = u*s - 3*s. Solve 4*l = 5*o + 12, s = -o + 2*l - 0*l for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.111 and 1897805119.\nAnswer: 1897805119.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14253511, -28507027, -42760555, -57014101, -71267671, -85521271?\nAnswer: -99774907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -27*i. Let t(y) = -14 + 0 - 8*y + 14. Give t(l(a)).\nAnswer: 216*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -2*a**3 + 37*a**2 - 30*a - 61. Calculate q(16).\nAnswer: 739","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g**3 + 416*g**2 + 415*g = 0. Calculate g.\nAnswer: -415, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 719 - 274. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -40 + 36. Let r(u) = -239*u - 23. Is r(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20301030 (base 4) to base 8\nAnswer: 106114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**3 - 3*m**2 - 3*m - 1. Let h(u) = 2*u**3 - 8*u**2 - 10*u - 2. Give -3*h(j) + 8*q(j).\nAnswer: 2*j**3 + 6*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7 - 5*w - 7)*(-w + 3*w + w + (0 - 1 + 2)*(16*w - 34*w + 12*w) + w + w - w) to y + x*w + q*w**2 and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41118*c + 428 - 846 = 40607*c + 40462 for c.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 = -3*o - 4, 0 = 2*n + 2*o - 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:31 PM and 6:58 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.7 - -0.3. Let m be 14\/(-5) + (-4)\/(-110)*22. Which is the nearest to 0?  (a) m  (b) h  (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 547 + -454. List the prime factors of v.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12\/7, 1\/3, 60 in decreasing order.\nAnswer: 60, 12\/7, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.07216115 rounded to four decimal places?\nAnswer: -0.0722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6187376?\nAnswer: 2, 13, 151, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -0.07 times -2.227965\nAnswer: 0.15595755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -0.08, 0.11, -1\/4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*k - 3*h + 9, 3 = -3*k + 306*h - 303*h. Let c = -0.171 - 8.009. Let w = c - -0.18. What is the biggest value in k, w, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the first derivative of 35 - 7\/2*w**2 + 0*w. What is d(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 64570778 to the power of 1\/3, to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*y + 57 = 89. Factor -18\/5*d**3 - 36\/5*d + 3\/5*d**4 + 12\/5 + 39\/5*d**y.\nAnswer: 3*(d - 2)**2*(d - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00248289 rounded to four decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-39)\/(-18) - (-1)\/((-12)\/8). Find a such that -1 + x*a - 1\/2*a**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.263356 nanometers in micrometers?\nAnswer: 0.005263356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2688)*-3*-5)\/(sqrt(6) + sqrt(18)\/(sqrt(3)*1) + sqrt(6) + sqrt(54)\/sqrt(144)).\nAnswer: 480*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -5*m**3 - 4*m - 34. Let o(p) = 11*p**3 + 9*p + 69. Suppose -212 = 87*f + 103 + 33. Give f*o(b) - 9*a(b).\nAnswer: b**3 + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 8*z**3 - 3*z**2 - 7*z + 7. Let j be k(-6). Let m = j - -486. Let l = m - -14292\/11. What is the common denominator of -52\/7 and l?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25375*s = -25288*s + 1218 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -3374408 at least -10123226\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.1 - -0.4. What is the nearest to 1 in c, 1, 4\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -2*u**2\/9 - 26*u\/9 - 8\/3 = 0.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 17*h**2 + 3*h + 2. Let b be i(-1). Let j(z) = -z**2 + 35*z - 10. Let l be j(b). Suppose 2*u - l = -4*u. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 390428, 780847, 1171268, 1561691, 1952116, 2342543?\n\"Answer: t**2 + 390416*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30977*p + 15 - 30977*p - 12 + 372*p**2 - 3.\nAnswer: 372*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 471680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 4*n - 10 = 0, -2*n = j + 3*n - 17. Suppose 4*x - 8 - 16 = 0. Suppose -42 = -j*m - 3*y, 54 = 3*m - 3*y + x. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82*k - 87*k + 1870 = 0. Does 24 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7857, -7847, -7823, -7779, -7709, -7607, -7467?\nAnswer: -7283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -24*m**4 + m**3 - 2928*m**2 - 421496*m?\nAnswer: -288*m**2 + 6*m - 5856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2.01 + 0.01. Let y = -1.38 - -0.88. Which is the nearest to -1?  (a) -1\/4  (b) y  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -21*q**2 + 4 + 33*q**2 + 3*q - 29*q**2 - 3*q as h*q + p + v*q**2 and give v.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**2 - 6*c + 2. Let t(g) = -g**2 - 5*g + 1. Suppose q = -5*z + 12, q = -3*z - 0*z + 6. Calculate z*j(b) - 4*t(b).\nAnswer: b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -10101000101 (base 2) in base 9?\nAnswer: -1758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -19*b**2 + 5*b + 7. Let n(p) = 9*p**2 - 2*p - 3. Let w(m) = 3*j(m) + 7*n(m). Let d be 2\/13*(-65)\/(-10). Give w(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 0.1119427 centimeters?\nAnswer: 0.001119427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -108 + 108. Let d be x\/(-4) + 3 + -85. Let t = d - -217. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, n: 3, q: 1, i: 5, s: 10}. What is prob of picking 1 h, 1 s, and 2 i?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in -11.16913, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + -3 + 5 + (1 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y + 2*y - 4. Suppose 4*p - 165 = -5*r, -11 - 9 = -y*r. Suppose 0 = -5*b + 5 + p. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 6\/27761?\nAnswer: 6\/27761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13098, -52431, -117978, -209733, -327690?\nAnswer: -471843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 61.\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 6*y - 5. Solve -3*s + 4*s + y = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the third derivative of a**8\/56 - 5*a**4\/24 + 8*a**2. What is the second derivative of t(g) wrt g?\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42 = -32*s - 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 divided by -10340714.\nAnswer: 4\/5170357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 - 9.9996. Round w to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/(-3))\/(4*54\/2088)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (3 - 4) + 5*2. Suppose 2*u = 3*j + 25 + k, -5*u - 2*j = -66. Let n = u + -6. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = k + 2*l - 6, 4*l + 116 = 5*k. What is the remainder when 76 is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2146078 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oooooggghhkk. What is prob of sequence kkoh?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) -0.2  (b) 12\/23  (c) -0.3  (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -h**5 - 1776 + 7*h**4 + 38*h**2 + 1776 wrt h.\nAnswer: -60*h**2 + 168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11 + 13. Suppose 5*v = o + 3. Is 2\/9 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 159833 is divided by 49994?\nAnswer: 9851","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -2*sqrt(720) - (sqrt(720) + -3 + 4))*1.\nAnswer: -36*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -2*f**3 + 34*f**2 - 25*f + 76. Let o(b) = 5*b**3 - 68*b**2 + 51*b - 152. Let h(v) = 3*o(v) + 7*s(v). List the prime factors of h(-34).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -5657*m + 24788. Calculate j(5).\nAnswer: -3497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 3\/5  (b) 1  (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -64, -185, -380, -643, -968, -1349?\n\"Answer: f**3 - 43*f**2 + f - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 36 - -10a496?\nAnswer: 10a4cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -173 + 242. Let s(b) = -b**2 + 147*b - p*b - 77*b. Let c(i) = -6*i**2 + 5*i - 1. Determine c(j) - 4*s(j).\nAnswer: -2*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-833)\/42)\/17*(-8)\/42.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18452 is divided by 8776.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 25*u + 41. Calculate f(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 171 + -58. Let t be (0 + 1)*159 - 0. Let v = t - c. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 2*q + 438 = 22, 5*z - 4*q = 428. Let x(a) = 6*a + 170 - 89 - z. Let r be x(-1). Let p(f) = -f**3 - 10*f**2 - 8*f + 4. What is p(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 30 - (0 + -3 + 3) - 3. Let i = -168 + 171. What is the greatest common factor of i and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2323 - -2?\nAnswer: 2330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-116 - (-7 - 208)) + -149\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -463.138, -3\/4, -2\/15?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1917 + -1109. Suppose -i + 603 = -y. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {s: 3, z: 6, m: 6}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 54945007 and 1986.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -235 + 3?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 312\/(-78)*3\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4, 2\/3, 1\/2, 512, 2\/11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -88552974 take away -288?\nAnswer: -88552686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a centimeter in millimeters?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 5, m: 5}. What is prob of sequence mmm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 41*302.916.\nAnswer: 12419.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 867 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:46 PM and 7:33 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 2*b**3 + 412*b**2 - 397*b + 3518. Calculate d(-207).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 115.088 to zero decimal places.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1314 + 2578. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 24*t + 7. Determine j(-5).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 275 a factor of 38500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1900) + -3 + 1)**2.\nAnswer: -40*sqrt(19) + 1904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/6, 1.8, 2\/47 in descending order.\nAnswer: 1.8, 2\/47, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 1156*v - 8. What is k(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -2*v + 2. Let g be k(-2). Let h = -2 + g. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -1 + 7 + 17*k + k - 5. Is g(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n - c + 25 + 28, -182 = -4*n + 2*c. What is the greatest common divisor of 27 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-428 + 807*s + 428)*(-1 + 6 - 2)*(4*s - 2*s + 0*s).\nAnswer: 4842*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f**3 - 26363147 + 26363147 - f**2 + 58*f**4)*(-f + 5*f - 3*f + 2*f + 2 - 2 + (-1 + 4 - 2)*(-f - f + 4*f) + f + 1 - 1 - 19 - 5*f + 19).\nAnswer: 58*f**5 + f**4 - f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -689130 divided by 7410?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -k**6 - 99*k**4 - 25*k**3 - 23*k**2 - 786*k wrt k.\nAnswer: -120*k**3 - 2376*k - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*h**2*y**2*z + 2*h**2*z - h*y**2 - 1017*h*y*z - 24653*h*z + 9*z with respect to y.\nAnswer: 6*h**2*y*z - 2*h*y - 1017*h*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37811106?\nAnswer: 2, 3, 229, 9173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 - 2*i + (68 - 11 - 2)*(4*i - 2*i - i)*(0 + 1 + 2) + i - 4*i + 2*i.\nAnswer: 162*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.8 greater than 294\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the first derivative of i**8\/1680 - i**5\/120 - 2*i**3\/3 - 5. Let y(w) be the third derivative of f(w). Find the second derivative of y(d) wrt d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 31 = -23. Let b(y) = y**3 - 2*y**2 + y + 1. Let t be b(j). Solve t*h - 7*h - 12 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.1  (b) -4  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 159 + -153. Which is greater: x or 0.21?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 31.38418708 to zero decimal places.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -640*h + 512 - 80*h**3 + 320*h**2 + 10*h**4 - 1\/2*h**5.\nAnswer: -(h - 4)**5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 124 is divided by 30?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 14 and 6028.\nAnswer: 42196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 204201 (base 5) in base 10?\nAnswer: 6801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6920000 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/90 and -101\/65153120.\nAnswer: 586378080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -62*f**3*p**2 + 17*f**2*p**2 + 19*f - 71*p**2 wrt f.\nAnswer: -372*f*p**2 + 34*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 374972 is divided by 178?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 11, w: 9}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(612)*-5)**2.\nAnswer: 15300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1198223 and 18239?\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((m**(-1))**(-1\/16))**(-14))**(1\/22))**(-30) assuming m is positive.\nAnswer: m**(105\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*x - 15 + 27 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (15\/(-5))\/((-18)\/28)*36. Suppose 0 = -20*r - r + c. Is r at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9229 and 64669.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aaab when four letters picked without replacement from bbababbbbbabbaaaabb.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -116 in -12, 4, -3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**3 + 21*l**2 + 20*l - 1. Let n be h(-20). Let a = -30 - n. Which is smaller: a or -28?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1122 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/10*1*6\/(-9)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 34 + -2 - (-62 - (-23 + -41))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 51.339 + -0.339. What is the smallest value in x, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*r*s**3 + 122*r*s**2*w + 24*r - 5*s**4 + 2*s*w + 2*s - 20 wrt s.\nAnswer: 12*r*s + 244*r*w - 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes before 3:11 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 + -4)*(18\/60 - (-2849)\/(-9730)*1).\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -472 + 147 = -11*f - 6 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 600 + -1165\/2. Let s = 73\/4 - d. What is the common denominator of s and -73\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 140947 + -68640. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 13*y - 30. Let z be g(-4). Let v = z - -82. Solve v = -5*m - 0*m - 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 89310 and 135?\nAnswer: 803790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1870 + -1867. Let b(g) = -g**2 - 9*g - 10. Let r be b(-7). Let i be 1 + (-3)\/((-6)\/r). Solve -n + 0 = 3, 4*d - c = -i*n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (126199\/(-2))\/(604\/(-8456)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 317312329?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 3*z + 1396 = -x, -5*x = -15. Factor 1403*t**2 - 11 - z*t**2 + 3 + 4*t.\nAnswer: 4*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 394 a factor of 318456746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.204 + 2.204. Let n = -790 - -787. Which is the fourth biggest value?  (a) 3  (b) n  (c) 1  (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o - 17. Let u be k(-13). Is 17 a factor of (-105)\/(1*6\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(3) + sqrt(48) + -4 + 2 - ((sqrt(297)*3)\/sqrt(11))\/sqrt(9).\nAnswer: -2 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-18)\/(-8) + 126\/72. Solve a*q = 6*q - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**2 + 3 - 3 + 1 - 2*b + 3*b. Let o(y) = 338*y**2 + 4*y + 4. Let d(j) = -5*m(j) + o(j). Is d(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*d - 6*d - 22 = 0. Let g(k) = 8 - k - d + 4 - 4*k. Let z(i) = i**2 + 9*i + 15. Let l be z(-6). Calculate g(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1\/130973 + -6156817\/142236678. What is the common denominator of 131\/18 and d?\nAnswer: 3258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q, 1 b, and 1 r when four letters picked without replacement from qqmmqrabqbm.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 890600 and 2050?\nAnswer: 36514600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*k**3 - 3888856*k**2 - 3888860*k.\nAnswer: 4*k*(k - 972215)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16224440 divided by 3244888.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*g - g + 220. Calculate the lowest common multiple of g and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-40)\/6)\/(1306\/7836).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**2 - 3*k - 2. Let h(c) = -c**2 + 4*c + 2. Calculate -5*h(p) - 6*q(p).\nAnswer: -p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3247796656 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 208 = 4*p, -3*s = -5*s. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 5, k: 9, z: 1, l: 1, u: 2}. Give prob of picking 1 k and 1 l.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1124*x + 1126*x - 4*l - 302, 7*l + 385 = x + 2*l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**3 + h**2 + h. Let c(f) = 5*f**2 - 6*f - 1. Let u(s) = b(s) + c(s). Suppose 0 = 15*x - 57 - 18. Give u(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*v**5\/3 + 34*v**4\/3 - 16*v**3\/3 - 8*v**2 = 0. What is v?\nAnswer: -3\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 159 in 4, -0.5, 0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lixi when four letters picked without replacement from {c: 2, i: 3, l: 13, x: 2}.\nAnswer: 13\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00289 to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -24*p**2 - 6*p. Let m(j) = -3*j**2 - j. What is -30*m(n) + 5*u(n)?\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (99 - 47 - 43)*((-7*w**2 + 3*w**2 + 2*w**2)*(-3*w**2 - w**2 + w**2) - 1 - 2*w**4 + 1).\nAnswer: 36*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.1 minus -0.11?\nAnswer: 7.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 27 + -32. List the prime factors of (a - -2)\/(1\/(-16)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -43?  (a) -0.5  (b) -1\/3  (c) 34\/7  (d) -5  (e) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-6 - -46)*(-6)\/(-8)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -39319, -78687, -118055, -157423, -196791?\nAnswer: -236159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -m - 300, x - 4*m - 180 = -2*x. Suppose -3*w - 39 + 14 = -h, -5*h = -2*w - x. Let o be (42\/(-28))\/((-3)\/h). Solve 2 = o*b - 23 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 3, j: 2, t: 4, b: 9}. What is prob of sequence tf?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 + -14 - 10 - -4 - -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 100193.9377 to the nearest 1000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 17*g**2*l**2 - 117*g**2*l - 16*g**2 + 5*g*l**2 - 1722 wrt l.\nAnswer: 34*g**2*l - 117*g**2 + 10*g*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 8, -8, -36, -76?\n\"Answer: -6*n**2 + 2*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14*i + 9*i - 45*i - 2*i**2 - 15*i + 7*i**2 to the form b*i + w*i**2 + v and give b.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -57517*w**3 - 28819*w + 7 wrt w.\nAnswer: -345102*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = 7 - 35. Suppose g*f - 8*f + 2 = 0. Solve 4*l = f*s, 5*s - 6*l + 2*l = 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and -895322.\nAnswer: 3581288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -14*g - g - 37 + 36 - 60. Let q be m(-5). What is the highest common factor of 2 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1*(0 + 9 - 4). Suppose -x*v = -5*z + 15160, -4*v - 5407 = -5*z + 6722. Is (3 - (-41)\/(-13)) + v\/(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.2856828501858 less than 0?\nAnswer: -1.2856828501858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 - 1 - k - 92*k**2 + 10.\nAnswer: -92*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(2\/39)*(h*h\/(h\/((((((h**(-2\/47)*h)\/h)\/h*h)\/h)\/h)\/h))*h)\/h*h*h\/(h**(-27)*h)*h**(2\/25) assuming h is positive.\nAnswer: h**(1195516\/45825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -43 - -44. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n - 6 = 0, -n - 4 = 2*a - 5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the third derivative of i**5\/60 + i**3\/6 + i**2. What is the units digit of n(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4403 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 1 e, and 1 o when three letters picked without replacement from ueuituikootkkoik.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 14) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(3\/25)\/l*l**(-19\/5)*l)**16 assuming l is positive.\nAnswer: l**(-1472\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 10*z - 13. Give s(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (2*(sqrt(5324)*-4 + sqrt(5324)))\/(-2*sqrt(144)*1))**2.\nAnswer: 55*sqrt(11) + 1431\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m - 103190 = -16*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 513*b**3 - 12040*b - 517*b**3 + 12040*b.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 22*c + 0*c - 29*c + 5*c + 0*c. Let x(d) = -18*d + 3. Determine u(x(p)).\nAnswer: 36*p - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.30595 - 0.02558. Let a = 11 - 11.28. Let w = x + a. Round w to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**3 - 4*d**2 - 5*d + 2. Let i be p(5). Suppose 2*y + 4 = -i*n, 2*y - 12 = 3*n - y. Let b(k) = 3*k - 4. What is b(n)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -183 and -145 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -0.5, 0, 3\/185 in decreasing order.\nAnswer: 3\/185, 0, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 3000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 50*d + 7. Suppose 3*s = 5*u + 1, 4*u - 3*s - 4 + 3 = 0. Let q be v(u). Find the common denominator of q\/36 - 1\/2 and -23\/102.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2927 (base 11) to base 13.\nAnswer: 194a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 9*c + 2 - 24*c.\nAnswer: -33*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 3) + (-5 - 140\/(-15))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*o - 3*o + 3*o)*(-4 - 2 + 3).\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 72435 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 8 - (0\/4 - -5). Suppose 5*k + q*v = 342, -4*k - 5*v + 0*v + 284 = 0. Does 66 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a second in microseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0919013 to 3 dps.\nAnswer: 0.092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 0.0894996m?\nAnswer: 8.94996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n + 12. Let m be z(-14). Let j(v) = -4*v**3 - 3*v**2 - 5*v - 2. Calculate the lowest common multiple of j(m) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2082944.3 to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence www when three letters picked without replacement from wpwpwwww?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 - -e8?\nAnswer: e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(2\/7)*h\/h**4)\/(((h\/h**(1\/3)*h*h)\/h*h)\/(h*h*h**(-4))))**19 assuming h is positive.\nAnswer: h**(-2945\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 5, 3, 55978 in descending order.\nAnswer: 55978, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -t + 3, 4*a - t = -6*t - 6. Let j be (8\/3)\/(a\/3). Suppose j - 2 = 2*x. Solve -1 = x*p - 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 43.4 - 42.9. What is the biggest value in 3\/2, b, -76?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**2 + 384*i + 1504.\nAnswer: 2*(i + 4)*(i + 188)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 2*v + 13 = 0, -8 = -3*f - 2*v + 3. Let k(n) = -n**2 - 2*n + 2. Calculate k(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + 0.1. Let t = -443\/13 + 34. Which is smaller: j or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*x**2 + 4*x**2 - x**2)*(-53*x + 5 + 33*x + 23*x).\nAnswer: -6*x**3 - 10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-46)\/12 + (-60)\/(-72)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*(x*x**(-38\/3)*x)\/x)\/(x\/(x*x**(-2\/145)*x)))**(-2) assuming x is positive.\nAnswer: x**(8422\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 33490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 303349*228.\nAnswer: 69163572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 73, 282, 491?\n\"Answer: 209*d - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 35*d + 5*a + 550, -2567*d = -2569*d - 2*a - 28 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 0 - ((7 + -35 - -5) + -98).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -86601 - -86604. Let a = -0.02 - -0.11. Let v = a + 0. Is v != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3405120*-17\nAnswer: -57887040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -0.141*0.0044\nAnswer: -0.0006204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -187 - -184. What is the third biggest value in r, 5\/2, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o + 8. Determine a(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-33128*a**2 + 65459*a**2 - 33018*a**2)*(-1 - 2 + 2)*(5 - 5 + 3*a**2).\nAnswer: 2061*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the third derivative of 0 + 0*s + 2*s**2 - 1\/24*s**4 - 1\/3*s**3 + 1\/60*s**5. Factor f(a).\nAnswer: (a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(-7)*2 - 330\/(-14). Suppose i - 4*h - v = 0, 3*i - 3*h - 14 = 19. Solve -p - i = 3*u, -5*u - p + 3*p - 19 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 614 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -32 + (-2457 - -2529)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyyyhyyyyhyyhhyyyyyy. What is prob of picking 2 y?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1670185299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 908 is divided by 426.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -9*s**2. Let v(a) = a**2 + 790*a. Determine v(y(r)).\nAnswer: 81*r**4 - 7110*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 20\/(-28)*36\/(-5) and -1\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 5, -3, 8, -0.0541, 3, 20?\nAnswer: -0.0541","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((q\/(q\/q**(-2)*q))\/q)\/q)\/q*q*q**2)\/(q**5\/q**2) assuming q is positive.\nAnswer: q**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 5, 3, -1, -7?\n\"Answer: -f**2 + f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.1 + 0. What is the third biggest value in -0.4, -2.8, b?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 39 - 21 = 0. Is 6\/y - (-2 - 262) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6178 + 36793*h**3 + 10*h**2 - 36427*h**3 + 2673 - 10*h**2 - 3*h**4 with respect to h.\nAnswer: -12*h**3 + 1098*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-15)\/(-6))\/(-5) - 34\/(-4). Is b\/64 - (-27095)\/8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -423 + 424 = -t. Let c(x) = -661*x - 20. What are the prime factors of c(t)?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**2 - x - 1. Let z(t) = -2*t**2 - 3*t. Let a(n) = -4*c(n) + z(n). Does 21 divide a(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/92344  (b) 0.2  (c) 4  (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -9*p + 11*p + 1221 - 1223. What is h(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q + 2 = -2*i, -144*i - 7 = q - 147*i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 24823 and 17922.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000301104 to six dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/s**6*s*s**(-1\/10))**(3\/4)\/((s**(-1\/2)\/s)**(1\/40)\/(s**(2\/5))**(-2\/79)) assuming s is positive.\nAnswer: s**(-19261\/6320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 68*u**2 - 14*u**2 - 2*u + 2*u.\nAnswer: 54*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -25*j**2 + 6*j - 5. Give n(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 53665 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -17811.7764 to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4534249 and 120646.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 73 - 51103?\nAnswer: -51010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 195 = -5*p, 79 = 2*z + 2*p - 47. What is the greatest common factor of z and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000003222 rounded to 7 dps?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1596\/(-133) + (-34)\/(-3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1262016195 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 3, -3, -7, 5.\nAnswer: -7, -6, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times 7394?\nAnswer: -29576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -a - 14. What is the derivative of -16*j**2 + a*j**2 + 6*j**2 - 1 wrt j?\nAnswer: -16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 6 = -0*c + 4*u, -2*c - 4*u + 12 = 0. Suppose -4 = -5*s + c. Calculate the smallest common multiple of 9 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 - -1.7. Let c = p - 0.5. Let a = 0.3 + c. Put a, 2\/3, 0.3 in decreasing order.\nAnswer: 2\/3, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**3 + 13*r**2 + 24*r + 46. Let l be a(14). Suppose -12*x + 114 + l = 0. Calculate the remainder when x is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -3*j + c, 8*j - 11*j + 2*c + 20 = 0. Factor 2\/9*a**3 - 4\/9*a + 0 - 2\/9*a**j.\nAnswer: 2*a*(a - 2)*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes after 6:06 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -2*d**3 + 39*d**2 + 20*d. Let k be g(20). Suppose -3*x + 14 = 2*y, 2*x - 6 + k = -3*y. Solve 14 + x = -4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 131395556 to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 2 = 6. Calculate the remainder when 6 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 13*g**2 - 5*g. Let x(w) = -8*w + 20*w**2 - 122 + 122. Let t(a) = -8*p(a) + 5*x(a). Let b(o) = 19*o. Calculate b(t(z)).\nAnswer: -76*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/2*60\/12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/(-3))\/((-141)\/94)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m**2\/6 - 743*m\/6 + 875 = 0 for m.\nAnswer: -750, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 3*m - 15. What is y(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) -4  (c) 1  (d) 2\/3  (e) 280\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 859 - 867 = -2*b. Let c(h) be the third derivative of 8*h**2 + 1\/60*h**5 + 0 + 0*h**3 - 1\/24*h**6 + 0*h + 0*h**b. Calculate c(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53252485 divided by -57695?\nAnswer: -923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 5557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1268 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that 5722*b**4 + 34328*b**3 + 68640*b**2 + 45728*b - 32 = 0.\nAnswer: -2, 2\/2861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-1))\/((14\/1)\/2)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o**2 + 1 - 1)*(0*o - 4*o + 3*o) + (-5*o**2 + 2*o**2 + 0*o**2)*(o + 0 + 0) - o + o - 4*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 2*n = 8. Suppose -2*h + 230 = n*h. Calculate the highest common factor of h and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00188495987 rounded to four dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5  (b) 21  (c) 11  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 923.0436ml?\nAnswer: 0.9230436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 33731 or 34801?\nAnswer: 33731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10, -46, -84, -124, -166?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 591 at most 10057\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8 - -4. Find the common denominator of (-5)\/(-12) - 6\/m and 63\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000535146 to 6 dps.\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(80) + -3 + 3)**2 + -4.\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25751 is divided by 101.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 269*h + 6. Let z be q(-5). Let y be (-4)\/(-6) - z\/3. Suppose 833 = -2*f - y. Round f to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3395*d*i**5 + 139*d*i + 550*d + 169*i**2 - 2*i wrt i.\nAnswer: -67900*d*i**3 + 338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*0.4051.\nAnswer: -0.08102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 + 13. Let d = -11 + 34. Suppose l = -v + d. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -27, 3, 0, 4, -8, -20 in descending order.\nAnswer: 4, 3, 0, -3, -8, -20, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1089432 and 7141832.\nAnswer: 64276488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -4*b**2 + 30*b - 30. Let s(r) = r + 1. Suppose 3 = 2*m + 1. Suppose -6*j - 67 = -31. Let d(p) = j*s(p) + m*t(p). What is h in d(h) = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 109\/24 and -35\/808?\nAnswer: 2424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, i: 5}. What is prob of picking 2 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fwfw when four letters picked without replacement from {f: 3, w: 13}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 36 - (-5 - (-55 - 4)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -28013780 rounded to the nearest one million?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*h - 3*h - h + (-7 + 13 - 8)*(7*h - 2*h - h) + 3 - 3 - h + (1 - 1 - 1)*(-6*h + 2*h + 2*h) - 4*h + 3*h + 6*h in the form u + o*h and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-4 + (-2 + sqrt(684) + -1*sqrt(684) + sqrt(684) - (2*sqrt(684) + -2)))*1*-1 + 3)**2.\nAnswer: 1512*sqrt(19) + 25065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 762768 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 911592 is divided by 303801.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l*(l*l\/l**(-1\/54))\/l)\/(l\/l**(-1\/8)))\/(l**(4\/3)\/l**(1\/15)))**(-2\/41) assuming l is positive.\nAnswer: l**(403\/22140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 3*g**3 + 55*g**2 + 16*g - 20. What is the least common multiple of 88 and c(-18)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2 - (1 + (-2 - 9\/(-3))). Let s be (p\/8)\/(-1)*-6. Is 28 a factor of s\/(-6) + 605\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 2*o**2 + 9*o + 1. Suppose -2*h = -16*b + 12*b + 8, -2*b + 3*h = 8. Let n(x) = -2*x + x + 5*x + x**2 + 0*x. Give b*n(v) - 2*w(v).\nAnswer: v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*k - 132 = -18*k. Suppose 2*q - 4*a = k, -4*q - 7*a = -4*a - 8. Find r such that -2\/11*r**3 + 0*r + 0 + 0*r**q = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2525 and 2000.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -34310, -274296, -925680, -2194160, -4285434?\nAnswer: -7405200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 149*r + 10377 + 8945 = 11723 for r.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-3)*724\/1448?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 73, -26, -3 in descending order.\nAnswer: 73, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 190 and 560?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:46 PM and 7:31 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t + 20, -3*d - 47 + 12 = -2*t. Find the common denominator of -14\/3 and ((-10)\/(-4))\/(d\/66).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(35)\/(-1*sqrt(605)))**2 + (sqrt(168)\/(sqrt(24)\/sqrt(4)))\/sqrt(4).\nAnswer: 249\/121 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-2\/13)\/(w*w\/(w**29\/w*w)))\/(w\/(w*w**(-3)*w))**(-34\/9) assuming w is positive.\nAnswer: w**(4025\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - q = q, 10 = 2*q. Suppose -4 = 2*n + z*s + 4, s = -4*n - 7. Let g = 5233 + -5231. Put n, -5\/3, g in decreasing order.\nAnswer: g, n, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -176 divided by 21?\nAnswer: -176\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/20 and 8\/(-2) + (-483)\/(-60).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 4) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 33\/2 in 1\/2, 0.2, -11, -0.1, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99) + (sqrt(99) - (sqrt(99) - sqrt(99)*1)*2) + sqrt(99)*-1 + -5 - 6*3*(sqrt(99) + 4*sqrt(99)))**2.\nAnswer: 2670*sqrt(11) + 784204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the third derivative of 0*b**3 + 0*b**4 - 3*b**2 + 0*b**5 - 1\/840*b**8 + 0*b - 1\/300*b**6 - 2\/525*b**7 + 0. Find p such that k(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1489 + -1489. Solve 10*v - 41*v - 155 = t for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-9) - (-24)\/90\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -4, 0.02, 1, -1, -3, 2\/21?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 10\/8 + ((-26)\/(-13))\/(-8). Solve -3*x + 2 = t, 4*t + 3*x - m = -2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 - -3.1. Let f = 15 - 14.3. Let d = 0.9 - f. What is the third biggest value in d, 2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.002 * -74243\nAnswer: -74391.486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12597540?\nAnswer: 2, 3, 5, 209959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -7*m**2 - m + 1. Let h be w(1). Suppose 4*s = 3*k + 3*s + 20, s + 29 = -4*k. Is k smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1947, 7817, 17599, 31293, 48899, 70417?\nAnswer: 95847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**3 - 150*h**2 - 886*h + 16449. What is t(-143)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1275 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -47 + 49. Let w(d) be the second derivative of -d**4\/12 + 5*d**3\/6 - 3*d**2\/2 - 3*d. Let s be w(3). Put s, -4, x in decreasing order.\nAnswer: s, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the third derivative of -a**6\/24 - 11*a**5\/60 - a**4\/6 + a**3\/3 - 157*a**2. Find the second derivative of j(t) wrt t.\nAnswer: -30*t - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1706.715 centimeters to meters.\nAnswer: 17.06715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 112 and 532?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -19, -17, -5, 23, 73, 151?\n\"Answer: r**3 - r**2 - 2*r - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 37190 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the first derivative of a**4\/24 - 5*a**3\/3 - a**2\/2 - 2. Let u(c) be the second derivative of i(c). What is u(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -15, 7, 3 in ascending order.\nAnswer: -15, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 5*t + 690 = 0, -m + 2*t - 153 = -2*m. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5\/3  (b) 0.3  (c) -54  (d) -0.3  (e) -2\/9  (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in s**2 + 0 + 0 - 2*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the third derivative of -y**8\/336 + 4*y**6\/5 + 151*y**4\/12 + 103*y**2 - 1. What is the second derivative of n(u) wrt u?\nAnswer: -20*u**3 + 576*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**3 + 26*i**2 + 16. Suppose -10*g = -15*g - 130. Let c be m(g). Factor 1\/4*p**4 + 0 - c*p + 12*p**2 - 3*p**3.\nAnswer: p*(p - 4)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -106, -151, -196, -241, -286?\n\"Answer: -45*d - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.7, 3.26, -2\/3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t\/((t*t**(-5\/3))\/t))\/t*t*t\/((t*(t\/(t*t*t**(1\/2)\/t)*t)\/t)\/t)*t\/(t*t\/(t*t\/(t**(-2\/3)\/t)))*t**(-8\/7) assuming t is positive.\nAnswer: t**(281\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.1 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**3 - 14*o**2 + 23*o + 11. Let c be u(12). Suppose -2*x + 4 = -2. Suppose 2*m = 4*m + x*k - 9, -m + 4*k = 12. Sort c, m, 4 in decreasing order.\nAnswer: 4, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*t**2 + 18*t**2 + 11*t**3 - 4*t**3.\nAnswer: 7*t**3 + 10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -5*q. Let y(j) = -11*j. Let f(m) = -154*m. Let c(d) = -4*f(d) + 55*y(d). Determine b(c(l)).\nAnswer: -55*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0 + (-6)\/63 - 1870\/(-231). Let z(j) = -j - 3*j - a*j + 12*j + j. Let w(u) be the second derivative of u**4\/2 + u. Calculate w(z(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 1771677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c, 1 r, and 1 i when four letters picked without replacement from {r: 4, c: 4, i: 1, a: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the first derivative of -q**4\/2 - q**3 - q**2\/2 + 6*q + 18. What are the prime factors of y(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3838884*x**5 - 3*x**2 - 210434*x + 1 wrt x.\nAnswer: -230333040*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 40876 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 759457613 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tggh when four letters picked without replacement from {a: 3, w: 1, t: 2, l: 2, h: 2, g: 2}?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 2*q = 6, 5*q = 2 + 8. Let v be (10\/(-10))\/(m\/(-8)). Let r be 28\/14*1\/v. What is the nearest to -3 in -0.3, -3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u - 67 = -2*x - 15*u, 11*x + u - 29 = 69 - 27 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 3*y**3 - y**2 - 6*y - 1. Let c be m(-4). Let d be c\/(-25) + 3\/5. Is (10\/(-3))\/(d\/(-288)) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 16 - (-21 - -13)) + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f**3 + 0*f**3 + 3*f**3 + (2*f**2 + 0*f + 0*f)*(-f + 3*f + 0*f) - 3*f**3 - 2*f**3 + 3*f**3 + f**3 - f**3 + f**3)*(1 - 2*f**2 - 1).\nAnswer: -18*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 2 = 4*r - 3, 0 = 4*r + 5*q - 21. Suppose -a = -91 - 11. Calculate the remainder when a is divided by r + (66\/3 - 6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-seven fifths of a kilogram in grams?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 321 and 214.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 139*f - 131*f - 96 = 0. Suppose -28 = -4*t - 4*w + 20, f = 4*w. Solve p = -p + 5*j + 11, 0 = -3*p + 5*j + t for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 = 19*x - 16*x. Suppose 7*b + 17 = -x. List the prime factors of (-93)\/((-15)\/22 + b\/(-33)).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/10)\/((-48)\/(-240)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 11317517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.58139 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 62307, 124637, 186967, 249297?\nAnswer: 311627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k. Let r(f) = -f + 5. Calculate -2*l(j) + r(j).\nAnswer: j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*c + 312892 - 833055 = 179984. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 77458428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.07*1008.\nAnswer: -70.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 222 and 318.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (1924\/320 - 6)*(25 - (-1620)\/(-72))\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 501097 and 2449?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 121*p**4\/2 + 48641*p**3\/2 + 3258813*p**2 + 145542358*p - 1203052 = 0. Calculate p.\nAnswer: -134, 1\/121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 1514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 29368\/161403 + -2\/14673. Suppose 4*p + 112 = -5*n + 2*n, 3*n = -2*p - 62. What is the biggest value in -2\/5, p, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 69 - 67. Sort -2\/9, d, -2, 27\/2 in decreasing order.\nAnswer: 27\/2, d, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 18 = 3*n, -4*j + 15 = 4*n + j. Suppose -6*h + 913 = -n*h. Suppose -h - 1219 = -4*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the second derivative of -n**5\/20 - n**4\/4 - n**3\/6 - 3*n**2\/2 + n. Let y be j(-3). Suppose -a + 3 = -y*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25982808?\nAnswer: 2, 3, 97, 11161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of q**5*y + 234828*q**5 + 3*q*y - 10491*q + 4*y wrt q.\nAnswer: 20*q**3*y + 4696560*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*p**2 - 8*p**3 + 0*p**3 + 12*p**2 + p**3.\nAnswer: -7*p**3 - 10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.309 and -4?\nAnswer: 1.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -187, 0, 111, -0.731?\nAnswer: -0.731","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4538812?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 155, -2, -26103, -1, 4 in descending order.\nAnswer: 155, 4, -1, -2, -26103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 203, 415, 645, 893?\n\"Answer: 9*b**2 + 185*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes before 1:43 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-3)*-6 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 16*o - 4. Does 20 divide b(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.17 + -0.13. Let u = k - 0.03979. Round u to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1443096 by -3.\nAnswer: -481032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*o**3 + 13*o**3 + 661746242*o - 661746252*o.\nAnswer: 20*o**3 - 10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*o + w + 7, -4*w - 8 = -4*o - 0*w for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2285, -8736, -19483, -34526, -53865?\nAnswer: -77500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20694*h - 41671*h + 18482*h.\nAnswer: -43883*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4753, -4629, -4513, -4417, -4353, -4333?\nAnswer: -4369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(1 + (sqrt(700) - (1 + sqrt(700) + -2)) + sqrt(700) + 3)**2*6*-5.\nAnswer: 3000*sqrt(7) + 21750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14 and 512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 7421 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**2 - x - 4. Let b be y(0). Let z be 2*(5 + (-9)\/6). Suppose 2*a = z - 7. Put b, -5, a in descending order.\nAnswer: a, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = 4*j - 160, -3*j - 3*v = -2*v - 101. Which is the third biggest value?  (a) -2\/3  (b) j  (c) 0.3  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -49*k**3*s**2 + 23*k**3 + 10*k**2 + 12*k*s**2 + 5*k wrt s?\nAnswer: -98*k**3*s + 24*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n + 13 = -2*g, 3*g + 8 + 4 = 3*n for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10\/6)\/((-3)\/(-9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = 13*z - 8*z, z - 11 = -4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (39\/((-1716)\/308))\/(7\/(-28))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**2 - 3*a + 2. Let m be g(2). Suppose -4*n + 2*o + 76 = m, 4*n - n + 3*o = 39. What is the remainder when 24 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qffqffffqfqffffqfff. Give prob of sequence qfff.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 13849539 + -2.0676001?\nAnswer: 13849536.9323999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the first derivative of a**4\/4 - 7*a**3\/3 + 9*a**2\/2 + 12*a - 1. Let n be o(5). Solve -n*m + 2*m - 20 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 442985532?\nAnswer: 2, 3, 11, 19, 176629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - (-2 - 5)) + -8 + -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21544 is divided by 266?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in fifty-one quarters of a millimeter?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 21\/4 of a day?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1283 - -1282. Sort d, 1\/9, 1\/2, -0.072 in ascending order.\nAnswer: d, -0.072, 1\/9, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/1080 and 143\/2232?\nAnswer: 33480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*k + 5*w + 22, 4*w - 122 + 140 = -2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1\/3)\/(34\/(-816)). Let f(m) = 3*m**2 - 13*m - 7. Let g(a) = -8*a**2 + 38*a + 20. Let t(i) = 11*f(i) + 4*g(i). Determine t(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -1, 7, -4, -3 in descending order.\nAnswer: 8, 7, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**2 + 7*q - 6. Give j(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 6, 9, 12?\n\"Answer: 3*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2313210110 (base 4) to base 6.\nAnswer: -24040552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1460614*n**2 - 2472690 wrt n.\nAnswer: -2921228*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that 0 - 8*y**2 + 2\/3*y**4 + 0*y**3 + 32\/3*y = 0.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -49 + 31 + 24 + (-32 - 0)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.46 + 120.54. Let i = 228 - h. Let v = i + -104.966. Round v to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -1 - 1 + k + 1. Let m = 3 + -5. Give q(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6197007?\nAnswer: 3, 2065669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*b - 2*b + 14 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*d - 32475 + 6478 - 9643 = 0. What is the greatest common divisor of 792 and d?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 143*u - c - 24 = 138*u, 5*u = -5*c + 30 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.3 and -5756730?\nAnswer: 1727019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 5*a**3 + 28*a**2 + 3*a + 25. What is l(-6)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/(-10))\/((-1)\/((-8)\/(-18)))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1, -136.\nAnswer: -136, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -533399*o + 231 = -533356*o - 586 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*q + 5*q - 12. Suppose 0*y = 3*k - y + 7, k + 11 = -q*y. Let g = 6 + k. Put -2, g, 1 in descending order.\nAnswer: g, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -53\/3720 + 7\/310. Let q(z) be the third derivative of -1\/15*z**3 + 0 + 0*z + 1\/300*z**5 + u*z**4 + 5*z**2. Determine c, given that q(c) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (70\/(-140))\/(3 - (-343)\/(-114)). Calculate the greatest common divisor of 5529 and b.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*d**4\/23 - 2220*d**3\/23 + 622674*d**2\/23 - 159840*d + 238464 = 0. What is d?\nAnswer: 3, 552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -319858 - -630.6\nAnswer: -319227.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 1718405 - 1718405 + 16*o. Let d(p) = 8*p - 13. Determine d(g(x)).\nAnswer: 128*x - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 8 = 5*f + 47, -4*d - 5*f + 89 = 0. Suppose -4*c - 11 = 13. What is the least common multiple of d and (2 + -13)*(4 + c)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/24 + 19\/4. Suppose -4*h = -3*w - 15 - 0, 15 = f*h. What is the common denominator of 50 + w\/(2\/6) and -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 10932013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -1390*w + 63. Is y(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:20 AM and 9:44 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 264 and (18 + 2)*((-91)\/(-14) + -6).\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03696402 rounded to 5 decimal places?\nAnswer: 0.03696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 8996439 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes before 8:07 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 496*w + 2*p + 50 = 484*w, 0 = -3*p + 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/2401242 and 11\/11205796.\nAnswer: 33617388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 199 = 3*p, -2*p + 245 = -5*b - 5*p. Let z = b - -76. Suppose -2*g + z = g. Solve 0 = 4*v + v + g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 3615, 14846, 33563, 59766, 93455, 134630, 183291?\n\"Answer: 3743*k**2 + 2*k - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**2 - 25*w - 128. What is t(-28)?\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -83376 or -83371?\nAnswer: -83371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + q - 5*z = 85, -2*q - 3*z = -9. Let t(l) = l**2 - 5*l + 7. What is the remainder when (-6)\/q - 183\/(-2) is divided by t(8)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-22)\/8 + 5)*4\/6*24. Solve -a = -104*c + 110*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 21 = 5*l. Calculate the common denominator of 8\/12*(0 - 11\/l) and -7\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2586 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (172\/24510*380)\/((-300)\/3)\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-12)\/(-14))\/(66\/308). Suppose 0 = w, 2128 = l*t + 29*w - 34*w. Is t a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = -4*z + 4. Let r = -5 + z. Let h be -297 + r - (1 - 2). What is h rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 18 - 18 = 0. Suppose -x*i = -73 + 1. Solve -i + 0 = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1627349.\nAnswer: 631, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = -2*g + 3*c, -6*g - 2243*c = -2242*c + 13 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.1074057 and -1.398979.\nAnswer: -1.2915733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4451 (base 8) to base 12.\nAnswer: -1435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1036049 to the power of 1\/2, to the nearest integer?\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aaafafaaa. Give prob of sequence afaa.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes before 1:08 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*f + 1027 + 1901 - 11*f)*(5*f**4 - 3*f**4 - 3*f**4).\nAnswer: 2*f**5 - 2928*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**2 + 6*t + 9. Let b be k(-6). Let s = b - 0. Suppose -2*u + s = u. Solve 2 = u*y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6368, 6321, 6240, 6125, 5976?\nAnswer: 5793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60552*t - 60557*t - 34 = f, f - 8 = 2*t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11 and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2684*534\/(-10769) + ((-30)\/(-11))\/3?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 + 2. Let h = -32 + 80. Let f be (-4)\/h - 1\/y. What is the closest to 1\/2 in -0.2, -3\/2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**2 + a. Let g(q) = -16*q**2. Calculate -g(m) + 2*x(m).\nAnswer: 18*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -2*a + 22. Suppose 0*h + 13*h - 104 = 0. Let j be f(h). Solve -2*x = -5*x - j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**3 - 3*c**2 - 2*c + 1. Suppose 2*w - 2*y = -2, -2*y + 13 = 2*w - y. Let v(n) = 2*n**2 - 2*n - 5*n + w*n + 4*n. What is -2*b(f) - 3*v(f)?\nAnswer: -2*f**3 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1170 is divided by 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1825975.\nAnswer: 5, 73039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4.049 + 0.049. Which is the second biggest value?  (a) s  (b) 2\/9  (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:17 PM and 8:43 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 58 divide 382916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -93, -81, -53, -3, 75?\n\"Answer: t**3 + 2*t**2 - t - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**2 + 86*c + 249. Calculate d(-83).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y. Let j(z) = -1. Let l(f) = 7*f - 35. Let g(p) = 35*j(p) - l(p). Let a(x) = 4*b(x) + g(x). Let o(q) = -q. What is o(a(s))?\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 65*(40\/25 - 2). Let p be 39\/m*64\/6. Let d = 3 + p. Which is bigger: d or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/912 and -149\/8208.\nAnswer: 8208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 2*n + 4*n = -14, -3*n - 9 = 0. Suppose q = 5 - m. Suppose g - 2 = q. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 626 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*k**3\/3 + 2588*k**2\/3 + 139104*k - 139968 = 0. What is k?\nAnswer: -324, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a meter in centimeters?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -61 by 35.\nAnswer: -61\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:36 AM and 12:17 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 209\/2336008 or 0?\nAnswer: 209\/2336008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 18567406 or 18567389?\nAnswer: 18567406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from shsqyqssqssqhqsh. Give prob of picking 1 q and 3 s.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.5  (b) -1\/7  (c) -527\/10  (d) 839  (e) -3  (f) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -61.3 - -158.4. Let x = 83 - q. What is x rounded to zero decimal places?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2485797363 - -2485797411.70000419. Let u = -59.99 - -11.29. Let i = p + u. Round i to 7 decimal places.\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 96 divide 747744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-19)\/((-190)\/(-12)) - -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/5 and 7\/4443.\nAnswer: 22215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.29 and -11610.\nAnswer: 3366.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/4 - (-4070)\/3848?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kuu when three letters picked without replacement from {d: 1, k: 1, m: 9, u: 4}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 322070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -201718697\/3 or -67239566?\nAnswer: -201718697\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/6 + -1*(-1 - -3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 252 = q - 2*u - 16, 0 = -q - 2*u + 248. Suppose -12*a + 162 + q = 0. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 5*u**2 - 13*u - 14. Let d(x) = -2*x**2 + 7*x + 7. Let c(p) = 7*d(p) + 3*w(p). Let r be c(-9). Let q(m) = 2*m**2 + 3*m. Determine q(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 minutes before 5:16 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 122 (base 3) to base 2\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -260*x**4 - 592 with respect to x.\nAnswer: -1040*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -2323*o - 5. Let r(q) = -2314*q - 6. Determine -3*k(d) + 2*r(d).\nAnswer: 2341*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 76 and 533251948.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 961?  (a) 5  (b) -26  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-k - 4*k + 3*k)*(2*k**2 - 2*k + 2*k) - 2284*k**3 + 1076*k**3 + 1092*k**3 to g*k**3 + h*k + m + b*k**2 and give g.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1.2  (b) -0.33  (c) -1212  (d) -2\/3  (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 3740 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*z - 17*z + 26795. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0 + 0 + 8 + -5. Let r(o) = 3*o - 6. Let n be r(a). Solve n = d - 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20820201721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(1872))**2 - (sqrt(104)*1)\/sqrt(8).\nAnswer: -sqrt(13) + 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 19314*s**4 - 1728*s + 2 wrt s.\nAnswer: 231768*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 49 is divided by (14 - -3) + (0 - (-3 + 1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.65 + 1.54. What is the second smallest value in -17, -0.3, d, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -85, -0.2, 0.5 in increasing order.\nAnswer: -85, -5, -0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 117\/30 - 9\/(-90)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -48 + 37 + 3\/(-1) + 7. Sort v, 3, 0.4, 0.3 in descending order.\nAnswer: 3, 0.4, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-95)\/(-38))\/(1\/(-2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 47 less than -5587489511?\nAnswer: -5587489558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24669 is divided by 22915.\nAnswer: 1754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -436 + 864 - 434 - 4*i**2 - 3*i in the form b*i + s*i**2 + w and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eiee when four letters picked without replacement from {h: 1, b: 1, i: 1, e: 3, z: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 18\/5 of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/3 + 2975\/75. Calculate the greatest common divisor of o and 256.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 9\/4 and -51\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes after 3:46 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(4\/3)*d)\/(d*d**(-3)) assuming d is positive.\nAnswer: d**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -10200000 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -14 - -5. Let v = 9.2 + j. Suppose -3*o - 2*l - 4 = 0, -10 = -2*o + l - 1. What is the second smallest value in o, v, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes after 2:41 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28 + 2 + 3 - (0 - (0 - -2)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11 + -17. Let q(m) = -4*m**2 + 8*m + 6. Let l be (-7)\/63 + 1360\/(-612)*11\/5. Let i(o) = 4*o**2 - 7*o - 5. What is l*q(y) + n*i(y)?\nAnswer: -4*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13 - -8. Let f(h) be the third derivative of h**5\/30 - 7*h**4\/24 - h**3\/2 + 28*h**2 - 499. Let d(l) = 2*l**2 - 8*l - 4. Give i*d(v) + 6*f(v).\nAnswer: 2*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 104659 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: What is the hundreds digit of (-5762)\/(-20) - (-10)\/(-100)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 63 (base 16) to base 8\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((sqrt(684) + 1)*-5)**2 + 5 + (sqrt(19) + -1 + sqrt(76))*5.\nAnswer: 315*sqrt(19) + 17127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xdbxdbvxxv. Give prob of sequence vdv.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 + 1. Let n = -12 - -11. Does m = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.032, -166, -0.3, -35.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**3 - 4*r**2 + r + 16. Let n be s(2). Solve -7*u = -n*u - j - 10, 0 = -5*u + 2*j - 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 813 less than 0?\nAnswer: -813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m**3 + m - m)*(4 + 0 - 2) + 2*m - 4*m**3 - 2*m - 2*m**2 + 2*m**2 - m**3 + (m**2 + 2*m**2 - 5*m**2)*(4*m + 3*m - 4*m).\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 12\/8 + 1\/2. Let d(x) = -2*x + 6*x**2 + 0*x**2 - x**3 - g + 7*x. Is 28 a factor of d(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 19, f: 1}. What is prob of sequence yyyf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 74 + (0 - 19 - (436 + -456)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 12 or 34\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 583*o - 1507. Let d be f(3). Solve -d + 208 = -17*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2\/429 + -868\/2145. Let m = -11.074 - -0.174. Let z = 11 + m. Which is the nearest to z?  (a) j  (b) 3  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -2*j**3 - 34*j**2 - j - 64. Give i(-17).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*(r\/(r\/(r\/r**20)))\/r*r)\/(r*r**(5\/7))*(r**(4\/5))**46 assuming r is positive.\nAnswer: r**(598\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3\/((-4)\/(-2260)*15). What is the greatest common divisor of 6667 and k?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20557082989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 8032*f - 1558210. Determine v(194).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 6880.256 hours?\nAnswer: 24768921600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (15\/(-30))\/(224\/(-192))*1\/(-1)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1897659\/217 - -8745. Let q = x - 139\/217. What is the common denominator of (-1 + 0)\/(72\/(-90)) and q?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**3 + 4*x**2 + 7*x + 8. Let r be j(-2). Suppose i + 1 = r*i, 3*q = 5*i + 31. Suppose 7*t + 300 = q*t. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 110 = 13*q + 6 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -2*a**2 - 36*a + 22. Determine y(-19).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 minutes before 1:30 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8511718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1794, -1863, -1922, -1971, -2010?\n\"Answer: 5*x**2 - 84*x - 1715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 17, 14 in increasing order.\nAnswer: 3, 14, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:57 PM and 9:52 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 23, 86, 183, 320, 503, 738, 1031, 1388?\n\"Answer: p**3 + 11*p**2 + 23*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the third derivative of -r**7\/35 - r**5\/60 + 255*r**3\/2 + 927*r**2. What is the derivative of f(g) wrt g?\nAnswer: -24*g**3 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(-9)*2\/(64\/(-12)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/652, 3, -4\/7, -2.5 in descending order.\nAnswer: 3, 1\/652, -4\/7, -2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 8) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -128, -521, -1176, -2093?\nAnswer: -3272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -22*y**2 - 14*y - 29. Calculate c(4).\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (5 - 4)*(-2 + 1). Let m be ((-1 - 2) + 1)*h. Suppose 0 = 4*u, -5*u - 22 = -2*y - m*u. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -1, -0.08, 0.1, -1\/6 in decreasing order.\nAnswer: 0.3, 0.1, -0.08, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6368 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**2 - 23*m - 23. Let o be a(24). Solve 2 + o = 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6794 + -6797.899. What is d rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.488 * 4.\nAnswer: -1.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*sqrt(121)*4 + sqrt(121) - sqrt(121)) + (sqrt(121) + sqrt(121) + (sqrt(121) - (sqrt(121)*-3 + sqrt(121))))*-3)\/(-2*sqrt(11)*2*4*-2))**2.\nAnswer: 3971\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z**3 + 4*z + 12 + 0*z**3 - 2*z**2 - 3 + 0. Let i be b(-4). Calculate the highest common factor of i and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.26 + -0.24. Which is the nearest to 5?  (a) j  (b) -1\/5  (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -10*m + 4. Let o(i) = -3*i + 1. Calculate -7*o(x) + 2*s(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 357 (base 8) in base 14?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 552.2012ml to litres.\nAnswer: 0.5522012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a kilometer in meters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1114\/312 + (-6)\/39 and (-285)\/24 + 3\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 17*d**4 - 416567*d**3 + 118810304*d wrt d.\nAnswer: 204*d**2 - 2499402*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i**2 - 5515684*i + 3802846248482 = 0.\nAnswer: 1378921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 + -5. Let j = -11 + 6. Let m be (-2)\/20*j\/2. Which is the closest to m?  (a) 1  (b) 1\/4  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 923 a factor of 31104177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in fourty-five quarters of a century?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-23)\/69*3)\/((-2)\/34).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v + 6*v = -3*v + 66 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1a - 1fc?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u*u**(-4\/5)*u**(1\/4))\/(u**(-1\/3)\/u)**(-2\/47) assuming u is positive.\nAnswer: u**(3929\/2820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 3\/4  (b) -1  (c) 842  (d) -0.4  (e) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 23 - 29. Let l be (3\/(-2))\/(j\/8). Does 15 divide 4 - 230\/(-18) - l\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -326, 2392 in descending order.\nAnswer: 2392, -3, -326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 285*u - 281*u = -2*t + 8, -t + 3*u + 19 = 0 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes after 12:24 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -2*l + l. Let a be -11 - (4 + l)\/3. Sort 2, a, -4 in increasing order.\nAnswer: a, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 4, u: 3, n: 1, t: 2, a: 4}. What is prob of picking 2 s and 1 u?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -101243, -101230, -101203, -101156, -101083?\n\"Answer: u**3 + u**2 + 3*u - 101248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**2 + 9*u + 6. Suppose -d - 1 = -5*v - 60, -4*v = -5*d + 64. Let c be s(v). Let f be c\/12 + 4\/6. Solve -y - 4*x = 22, -2*y + 16 = -f*x - x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4021 - 4020.997543. What is k rounded to four decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q. Let a(u) = 6*u**2 - 5*u. Let w(d) = 5*d**2 - 4*d. Let c(h) = 4*a(h) - 5*w(h). Let f(v) = 8*v**2. Let g(n) = -14*c(n) - 2*f(n). Calculate s(g(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 0*j - 2*j + 4*j. Let s(d) = -11*d + 22 + d - 7 - 5*d + 16*d. Calculate g(s(q)).\nAnswer: 2*q + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 450*u**4 - 33*u**2 + 1.\nAnswer: 10800*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s - 10. Let n(j) = -4878*j + 40. Determine 8*i(q) + 2*n(q).\nAnswer: -9764*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -39.942698 rounded to the nearest integer?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-258)\/(-54) - 8\/(-36). Suppose m + 3 = 0, 34 = l*c - 4*m + 12. Solve -2 = -c*x + 3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/(-6) + 62\/(-96). Let o(b) be the second derivative of 0 + 1\/80*b**5 + 2*b - p*b**4 - 1\/24*b**3 + 1\/8*b**2. Factor o(a).\nAnswer: (a - 1)**2*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the second derivative of 5*b**9\/504 + b**6\/9 - 13*b**3\/2 - 3*b. Let t(c) be the second derivative of w(c). Find the third derivative of t(u) wrt u.\nAnswer: 1800*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*f - 3 + 0*f - f + 3*f.\nAnswer: -2*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000972938 to 7 dps.\nAnswer: -0.0000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 8164.02 nanometers?\nAnswer: 0.00000000816402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 (base 3) in base 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 12 = 4*t - 2*r, -3*r = 5*t - 15. Solve 0 = -8*z + t*z + 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -6 + 14. Let k = j + -1. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 8847*w + 15524. Let b(n) = -1786*n - 3105. Let q(v) = 4*a(v) + 22*b(v). Differentiate q(k) wrt k.\nAnswer: -3904","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((90\/(-195))\/(-2))\/(477\/15158).\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 0.5, 1\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.05 - -66.95. Let r = w + -67.5. Put 2\/5, 0.3, r, -1 in decreasing order.\nAnswer: 2\/5, 0.3, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gqgggqgqggggqggqggq. What is prob of sequence gggq?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iljeffqj. What is prob of picking 1 i and 1 l?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3122?\nAnswer: 2, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1820604 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1*3 - 1)\/1. Let q be (-17)\/(-5) - w\/(-10). What is the second derivative of -4*a + 3*a + 0*a - 2*a**q wrt a?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 + 2. Suppose 0 = 2*o - 3*o - 18. Let w be (-3)\/o + (-174)\/(-36). What is the closest to -2 in b, 2\/3, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1717671 a multiple of 240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -3*t**2 - 5*t. Let f(b) = 16*b**2 + 25*b + 1. Let z(n) = -2*f(n) - 11*g(n). What is the units digit of z(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-506)\/184)\/(-5*3\/(-60)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i - 6 - 10. Is (i - -3)*(1 + -199) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4 + (4 - 1))*6\/(-2). Suppose -3*f + 50 = -k*w - w, -16 = -f + w. Calculate the least common multiple of 44 and f.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 57\/744*10\/5 and -91\/2.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -702*u + 44 = -713*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r. Let s(x) = -2*x. Let d(c) = -42*b(c) + 6*s(c). What is the remainder when d(1) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 + -9 - 1 - -17) + 3 + 10?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**5\/(m*m**(-7)*m)*(m**(1\/4))**(-7) assuming m is positive.\nAnswer: m**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**2 - 664*n - 55948. Determine h(-99).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1387376 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: What is 68393.94 kilometers in centimeters?\nAnswer: 6839394000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 15349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1131450250 and 1050.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*h - 6310 - 3*h + 12625 - 6315.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 86\/((1 - 0)*2). Let t be j\/(-15) - (0 - 3). Let i = -0.36 + 0.06. Which is the biggest value?  (a) t  (b) 1  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*x**4 - 3*x**4 + 6*x**3 + 3*x - 8*x**3 + 1 - 5*x + x**2 + 0*x**3 to q*x + i*x**2 + p*x**3 + m + a*x**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 269452 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-35)\/(-25)*(-51)\/(3876\/(-20)).\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 158*k - 3. Let z be c(2). Suppose 3*g = 4*a + 174, z = 5*g - 0*g + a. Suppose g + 25 = b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 12) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -94*i + 113*i = -76 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3247299?\nAnswer: 3, 11, 32801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(85)*1)\/sqrt(5) - sqrt(204)\/(sqrt(12)*1) - ((sqrt(170)*2 - sqrt(170))\/sqrt(10))**2*6.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 9.069744nm?\nAnswer: 0.000009069744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2163, -2162, -2163, -2166, -2171, -2178, -2187?\nAnswer: -2198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d and 2 q when four letters picked without replacement from dzqzqzqzzqd?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*d - 37*d + 96 = 0. Suppose -224 = -16*j + d. Calculate the highest common factor of 25 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10916 + -9765. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 2*f**2 - 4*f - 8. Let r(d) = d**2 + 10*d + 23. Let i be r(-8). Let a be (4 - (8 - 4)) + i. What are the prime factors of l(a)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zucf when four letters picked without replacement from ucczuuffcucfccfuff?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m - 4*y = 0, -3*m - 16 = -3*y + 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2214*b - 741*b - 736*b - 739*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h**3 + 900*h**2 - 2885*h - 25620 = 0. What is h?\nAnswer: -183, -4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the first derivative of -m**8\/672 + m**7\/560 + m**6\/60 + m**5\/60 - 2*m**3\/3 - 3. Let a(k) be the third derivative of t(k). Factor a(j).\nAnswer: -j*(j - 2)*(j + 1)*(5*j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9*c**5 + 5*c**2 - 38*c**6 - 125*c - 6*c**2 - 37*c**6 + 78*c**6 wrt c?\nAnswer: 360*c**3 + 540*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -31103 (base 4) in base 11?\nAnswer: -704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**3 + 2*g + 2. Let n(v) = 363*v**3 + 242*v + 242. What is -121*c(z) + n(z)?\nAnswer: 242*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (31\/(62\/(-4)))\/(-1 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*c - 13 + 77*c - 142*c.\nAnswer: -31*c - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -11*c + 58. Suppose 6*g - 45 = -3*g. Let m be a(g). Solve m*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2508867 millilitres in litres?\nAnswer: 0.0002508867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -307 + 321. Calculate the smallest common multiple of o and 80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 31*q**2 + 53*q**2 + 19*q**2. Let k(g) = 2*g. Calculate m(k(p)).\nAnswer: 412*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -417917554 by -6.\nAnswer: 208958777\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 639 is divided by 92?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 860 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 509, 2174, 3997, 5204, 5021, 2674, -2611, -11608?\nAnswer: -25091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-28)\/(-42) + (67\/3 - 7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -663 - -676. Calculate the remainder when y is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 5*a - 2. Let w = -4 - a. Suppose 10 = -3*q - k, -1 = -4*k + 7. Put 4, q, w in increasing order.\nAnswer: w, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 14, -8, -42, -88, -146, -216?\n\"Answer: -6*z**2 - 4*z + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**3 + 84*t**2 + 106*t - 15694. What is u(83)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2124  (b) -3  (c) 144.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/168 and 5\/42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 17231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -4*s - 3. Let m = 37.5 - 37. What is the third smallest value in m, s, 1\/8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1, -110 in ascending order.\nAnswer: -110, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10491\/(5\/(-2)*192\/(-160)).\nAnswer: 13, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 2*q - 10 = 0, -12*q - 88 = -4*a - 0*q - 8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -82*w. Let y(d) = -349*d**2 + 31*d - 16. What is y(s(f))?\nAnswer: -2346676*f**2 - 2542*f - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -3, 10, 14, -2, 25 in descending order.\nAnswer: 25, 14, 10, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 1 l when three letters picked without replacement from {l: 5, t: 3, m: 1, s: 6, b: 3}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((4 - 3)\/(-1))\/20*-8.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 t when two letters picked without replacement from eqhtqnqnehhqhqq?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 1 = -2*x, 4*x - 5*h - 9 = -10*h. Is 148\/16 + x\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c*c**(-6)*c)\/(c**6\/c))\/(((c**(2\/3)\/c)\/c)\/c*c**(2\/7))*((c**(-1\/3))**(-16\/3))**(-17) assuming c is positive.\nAnswer: c**(-2279\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -20*r. Let m(l) = l + 72 - 37 - 35. Suppose 3*h + 6 - 15 = -2*f, -5*h + 3*f + 15 = 0. Suppose 2*z + z = -h. Determine z*q(n) - 16*m(n).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3309956, -3309955, -3309954, -3309953?\nAnswer: -3309952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 3.65139s?\nAnswer: 0.0608565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (5\/2)\/5*10. What is the highest common divisor of r and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -93477 + 1617?\nAnswer: -91860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 455 - -238. Suppose q - 207 = 6*n. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 290  (b) -0.5  (c) -8\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 122 divide 249150230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 210 + -204. Let p be 579\/6 + (12\/(-8))\/3. Calculate the highest common divisor of p and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5c2 + 1b?\nAnswer: -5a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -133 in -0.09, 4\/7, 1\/4, 8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -243 - -241. Let n(g) = -g**2 + 4*g - 1. Let i be n(-4). Let s be d\/11 - (-25074)\/i. Round s to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 170 + 8?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.3  (b) 37\/98  (c) -4\/5  (d) -2\/7  (e) 4  (f) 5  (g) 4\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1683 - -3?\nAnswer: 1686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 29905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1617 - 12699. Let u = p - -5939. Round u to the nearest 100.\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = g - 12. Suppose -g + 4 = 2*z. Let a be 231\/z*1\/(-3). Calculate the greatest common divisor of a and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -11*x**2 + 2*x + 14. Let y(c) = -75*c**2 + 15*c + 105. Let n(z) = -15*r(z) + 2*y(z). Let v(w) = -29*w. What is n(v(a))?\nAnswer: 12615*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -5*q**5 - 90*q**4 - 425*q**3 - 180*q**2 + 700*q = 0.\nAnswer: -10, -7, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 15 - 5 = 0. Suppose k*m - 4*m = 34. Let l = 15 + m. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 941 - 759 = 2*b. What is the remainder when b is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 278865398 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 926289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0 + (-3)\/7 - 35802\/(-42). Suppose -4*c + 1165 = -3*x, 2*x + 23 + q = 3*c. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/((s*(s**(-10\/7)*s)\/s)\/s)*s)\/(s\/((s\/s**(-1\/8))\/s)*s))**(2\/65) assuming s is positive.\nAnswer: s**(87\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 1537391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 479 is divided by 431?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -12995391, -25990773, -38986155?\n\"Answer: -12995382*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 2 - 2933*i.\nAnswer: -2933*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -6  (b) -14  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*f**2*g**2 + 2*f**2*g - 23*f**2 + 96*f*g**2 + f*g + 4*f + 35*g**2 wrt f?\nAnswer: -16*g**2 + 4*g - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48068860.\nAnswer: 2, 5, 7, 17, 19, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*z = -17 - 18 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 102 a factor of 184720878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the second derivative of -y**4\/90 + y**2\/15 - 37*y. Factor j(h).\nAnswer: -2*(h - 1)*(h + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20931 is divided by 73?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 26242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 83 = 4*d, -8*d + 9*d = -2*v - 47. Suppose -4*o - 2*j - 47 = 33, 0 = -3*o + j - 65. Is o bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 2*u**3 + u**2 + u. Suppose -t - 10 = -3*t. Let a(o) = 7*o - 34. Let v be a(t). Let w be l(v). Solve q + 1 = -w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*o + 2*p + 7, -o + p = 0. Is 0 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/4?  (a) -3  (b) -5\/273  (c) 0.4  (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 41 - (-41 - (40 - 41)) - 23.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11382290 by 2276458.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2461798 is divided by 22585?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35122*p - 1795*p + 1 + 1.\nAnswer: -36917*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -6\/29  (b) -1.4  (c) 3  (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n + 7. What is o(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 892955?\nAnswer: 5, 7, 31, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 7*k - 23 = 4*t, 11 = -t - 3*k. Let g(a) = 5*a**2 + 2. Let l(c) = -c**3 - 11*c**2 - 5. Determine t*l(v) - 5*g(v).\nAnswer: 2*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = 3*s - 235 + 52, f = 4*s + 64. Calculate the highest common factor of 1785 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 498 + -344. What is the lowest common multiple of h and 8?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 18 = 2*b - 169, f + 4*b = 47. Let x(t) = -9*t. Let s(o) = 71*o - 206*o + 71*o + 65*o. Determine f*s(g) + 6*x(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 73, 229, 481, 823, 1249?\nAnswer: 1753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*h**6 - 6*h**2 + 3*h**2 - 21*h**2 - 6*h**2 wrt h?\nAnswer: 720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 4\/10)*((-836)\/171 + 6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -5*q**2 + 71*q + 39. Determine l(23).\nAnswer: -973","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 0 - (7 + -4 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32*(-70)\/(-84)*66\/550.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:45 PM and 1:09 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**2 - 21*q - 70. Let w be o(-3). Suppose -w*r - 40 = -4*t, -r + 2*t = -t + 16. Which is the closest to 5?  (a) r  (b) 1\/2  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -41.115 - -41. Let c = 2341.8917 + -2342. Let f = c - t. Round f to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 563219311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5599\/16806 - 1\/5602. Sort -2, 5, m, 2\/5, 3\/71 in decreasing order.\nAnswer: 5, 2\/5, 3\/71, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*k**4 - 255*k**3 + 600*k**2 + 5620*k + 6720.\nAnswer: 5*(k - 48)*(k - 7)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 + (-51 - (11 + -7 + -1 + 4)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 2 j when three letters picked without replacement from rrprpljrlp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3623 - -6038. Suppose 0 = -91*j + 84*j + l. What are the prime factors of j?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oy when two letters picked without replacement from {y: 2, o: 1, m: 2, q: 2, i: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 31253414 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 70\/45*(-858)\/(-4004)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (5 + sqrt(7) + sqrt(7)*-2 - (sqrt(343) + -1 + sqrt(343) - sqrt(343))))**2.\nAnswer: -128*sqrt(7) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 74, 301, 680, 1211, 1894, 2729, 3716?\nAnswer: 4855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 - -42. Let l = -22 + t. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*u**3 + 652479*u**2 - 652479*u**2)*(-14 + 2 - 3*u + 2*u).\nAnswer: 5*u**4 + 60*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*(174\/29)\/(-84)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1990\/19, 0.29 in ascending order.\nAnswer: -5, 0.29, 1990\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -65\/28 and -18 - (-2388)\/132 - (-149)\/(-220).\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**3 - 8*g**2 + 99*g - 170. Give y(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 685900 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**2 - 16*k - 65. Let v = 77 - 96. Let x be c(v). Let s = -119 - x. Solve 0 = -g - 3*r - 10, -g - s*g + 3*r = -35 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 55045*h**4 - 80*h**2 + 134*h - 28163 wrt h.\nAnswer: 660540*h**2 - 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -514 - -875. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2*l**4 + 3)*(0 - 1 - 1) + (-17*l + 6*l - 21*l)*(-2*l**3 + 0*l + 0*l + (3*l**3 + 2*l**3 - 3*l**3)*(1 + 2 - 1) + 10*l - 4*l**3 - 10*l).\nAnswer: 68*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -101*w + 198*w + 83*w + 9235 - 3475 = 0 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the first derivative of 5*a**6\/2 - 5*a**3\/3 - 1513*a**2\/2 - 1095. Find the second derivative of i(j) wrt j.\nAnswer: 300*j**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rrp when three letters picked without replacement from rqqqraqqqfqarqpraff?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -282 = -3*c - 4*i, -5*c - 5*i + 0*i + 475 = 0. Calculate the remainder when c is divided by 30.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the second derivative of i**9\/1008 - i**6\/180 - i**3\/3 + 3*i. Let z(v) be the second derivative of g(v). What is the third derivative of z(t) wrt t?\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -8*b**2. Let i(q) = 3*q**2 - q**2 - 22 + 22. Give i(g(c)).\nAnswer: 128*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes after 7:18 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**2 - 7*b + 6. Let d be p(6). Suppose d*c - 9 = -3*c. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -3*u**3 + 4*u**2 + 2. Let b be 0 + (60\/5)\/(-3). Let j(n) = -19*n - 2 + 19*n - 5*n**2 + 4*n**3. Suppose -2 = -h - 7. Give b*j(y) + h*i(y).\nAnswer: -y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-3)\/(-81))\/((-4)\/(-6)). Let y = -0.171 + 70.171. Let j = y - 70.2. Are j and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -29, -2 in decreasing order.\nAnswer: -2, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 - 34 - (-1 + -2 + 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -2*n**2 - 126*n + 78. Let j be f(0). Solve -j*p + 64*p = 56 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3222759?\nAnswer: 3, 1074253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 28002, 111927, 251782, 447543, 699186?\nAnswer: 1006687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*p + 2 = 42. Suppose -p*f + 0*f = -3*v - 81, -4*f + 2*v + 78 = 0. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -4*f**2 - 4*f + 7. Calculate o(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -472 + 468. Suppose 2*d - 6 = d. Suppose 21 - d = -n. Sort n, m, -5.\nAnswer: n, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v + 5*a + 8 = 0, 194 + 197 = 12*v - 2*a + 558 - 191 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**2 - 5*d + 6. Let l be h(4). Suppose 4*i - 8 = -4*p - 0*i, 0 = -l*p - 4*i + 12. Is -1\/7 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, m: 5, z: 8}. Give prob of sequence zmzm.\nAnswer: 4\/117","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9\/58229 - -5070288\/28241065. Let j = 73\/16 - 7113\/1552. Let d = j - k. Which is the nearest to 0.1?  (a) -0.3  (b) -0.9  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 3\/4 and -69 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 588729827*t**2 + 190785922*t wrt t?\nAnswer: 1177459654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*j + 1 - 22. Suppose 2*b + 2*b + 4*g = -12, -g - 19 = j*b. Sort 0, b, -4.\nAnswer: b, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7680378583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**2 + 112*c - 2142. What is w(26)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1123 (base 4) in base 14?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -21896, -87603, -197108, -350405, -547488, -788351, -1072988?\n\"Answer: s**3 - 21905*s**2 + s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-3) + 0*2\/(-4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1200495 and 254280.\nAnswer: 2445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2121 - -4.\nAnswer: -2117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -18 - -32. Let c = 29 - 22. What is the greatest common divisor of c and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 24526169.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -39 or -0.043?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or 10087?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p**3 + 4*p**3 + 1 - p**3)*(-2*p - 4 + 4) - 4*p**4 + 4*p**4 - 5*p**4.\nAnswer: -13*p**4 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.02 * -157.\nAnswer: -160.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -4*f + 5. Let i(y) = -2*y + 2. Let c(a) = 5*i(a) - 2*s(a). Let d(p) = -4*p. Determine d(c(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 221*c + 98*c - 177*c + 101*c.\nAnswer: 243*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 358476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 60\/250*10 - 2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the first derivative of 2*l**3\/3 - l**2\/2 + 2*l + 71. Let g(r) = -2*r - 12. Let y be g(-7). Calculate k(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**3 - 5*u**2 + 6*u - 6. Let i be g(4). Let q(o) = -2*o - 10. Let s be q(-5). Suppose -7*x + i*x + 20 = s. Solve 2*d + x + 0 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -1, -0.1, 1\/2, -10?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 17, i: 1}. What is prob of picking 1 i and 1 f?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.1, -1, -4\/13, 2\/57, 17, -0.9, -5?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 838 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 77*c + 234 = 103*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 129*v - 131*v + 46 = 4 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21939 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 + 0)*(7*p - p - 126*p).\nAnswer: -240*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 528, 1118, 1708?\nAnswer: 2298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:49 AM and 11:59 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, -0.278, 3?\nAnswer: -0.278","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 112575?\nAnswer: 3, 5, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -14*h**3 - 17*h**2 + 17*h - 18. Let z(q) = -5*q**3 - 6*q**2 + 6*q - 6. Determine -6*y(b) + 17*z(b).\nAnswer: -b**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b**3 + 4*b**2 - 10*b - 7. Let l be s(-6). What is the units digit of l\/(-4) + 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes after 2:44 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the second derivative of q**4\/12 - 3*q**3 - 111*q**2\/2 + 115*q. Let c be x(23). Solve 4*b - 4 = f - 9, -c*b - 7 = -3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -16899567090 and -5.\nAnswer: -16899567095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (358 - 788 - 528 - 115)*(1 + q - 1) to the form h*q + g and give h.\nAnswer: -1073","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, l: 2, z: 8}. What is prob of picking 1 l and 2 z?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -172*p + 60*p + 11*p + (3*p + 4*p + 0*p)*(-1 - 1 + 4) - p - p + 0*p.\nAnswer: -89*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 - -9 - (1 + -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange c**4 - 11*c**2 + 94 - 389 - c + c**3 + 98 + 102 + 100 to w*c + l*c**2 + d*c**4 + b*c**3 + o and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -1752*j + 5. Let n(b) = -22792*b + 66. What is -66*d(s) + 5*n(s)?\nAnswer: 1672*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x\/(x\/x**(-1\/3))))**(-8)*x**(2\/9)*x\/x**7 assuming x is positive.\nAnswer: x**(-148\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -22644, -42597, -62550, -82503, -102456?\n\"Answer: -19953*h - 2691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (4 - 2) - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 - -2. Suppose 50 = 4*n - c*q, -52 = -2*n - 4*q - 2. What is the second derivative of 6*m**4 + 6*m + 13*m**4 - n*m**4 wrt m?\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the second derivative of t**3\/6 + 2*t**2 + 115*t. Determine h(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*y**4 - 7056*y**3 - 4141866*y**2 + 8304912*y - 4155987.\nAnswer: -3*(y - 1)**2*(y + 1177)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 12 = 2*x - 2*t, -2*x - 12 = -2*t. Let p(q) = -q**2. Let v(o) = -2*o - 1 + 2*o**3 - 6*o**2 + 2*o. What is x*p(y) + v(y)?\nAnswer: 2*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -14*11\/77*1\/(-5)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 37 and 6.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(-29))\/(i\/i**18) assuming i is positive.\nAnswer: i**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -98c (base 16) to base 11\nAnswer: -1922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/15, 532, 5, -4439\/6, 0.4 in decreasing order.\nAnswer: 532, 5, 0.4, -2\/15, -4439\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11295, -1415, -4, -2, 1, 0 in increasing order.\nAnswer: -1415, -4, -2, 0, 1, 11295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 448.41 - 435. Let l = n + -0.41. Let i = 12.9995 - l. What is i rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 82610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 307*p + 12*p**2 - 307*p + (6*p**2 + 3*p**2 - 6*p**2)*(2 - 1 + 0) to n*p**2 + q*p + s and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 + 1\/(-1))\/1. Let u(b) be the third derivative of o*b + 1\/6*b**3 + 0 + 1\/24*b**4 - b**2 - 1\/60*b**5 - 1\/120*b**6. Suppose u(d) = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -0.2  (b) -6  (c) 3  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l + l. Suppose -3*s = -4*j + s + 12, l = -4*j - 4*s + 12. Suppose -4*v + 11 = -x, -j*x + 9 = -0*x + 2*v. Solve -5 + x = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -2*y**2 - 3*y + 7. Let o(c) = 3*c**2 + 3*c - 8. What is 5*i(h) + 4*o(h)?\nAnswer: 2*h**2 - 3*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 8\/8 - (-4)\/2. Let o = 333 + -329. Solve -p*w - 3*q + q - 4 = 0, -5*w + o*q + 30 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2940 and 27244.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 403 - 2240*q**2 - 403 + 4467*q**2 - 2224*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i + 11. Suppose 3*j + 25 = -r, -r = 4*j + 16 + 17. Let g be c(j). Let s = 11 + -11. Solve s = -h - g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 55156b - 28?\nAnswer: 551543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -390 + 390 + 6*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -30 (base 6) to base 16\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -226455*o - 4*o**3 + 5*o**3 + 8*o**3 + 24*o**3 + 226455*o.\nAnswer: 33*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -4, -16, -109, -1 in descending order.\nAnswer: 0, -1, -4, -16, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -3*l + 3*l. Let h(v) = v**2 - v - 13. What is h(l)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.52608857 rounded to four decimal places?\nAnswer: -0.5261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + z = 0, 8*q + z = 7*q. Solve f - 20 = -5*s - 0*s, q = -4*f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the first derivative of 7*d**5\/120 - 13*d**4\/24 - 5*d**3\/3 + 6. Let v(y) be the third derivative of u(y). Is v(10) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that 2*c**5\/5 + 58*c**4\/5 - 186*c**3\/5 + 38*c**2 - 64*c\/5 = 0.\nAnswer: -32, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddddddd. What is prob of picking 4 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*m + 13*m + 12*m + 13*m + 14*m - 64*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v + 363*g - 9 = 358*g, -36 = 4*v + 2*g for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 27 - -10. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 6, 119, 424, 1017, 1994, 3451?\n\"Answer: 16*m**3 + m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 smaller than 5327\/188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1071311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-27)\/63 + 3688\/14. Let q = c + 186. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 12 = 0, 5*m + 8 = -f - 0*f. What is the highest common factor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 131, 5, 15, 0.3 in ascending order.\nAnswer: 0.3, 5, 15, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*q + 170*q + 17480 = 33*q. Are -96 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.67 + 56772?\nAnswer: 56765.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -2*i - 16. Let l(f) = 3253 + 0*f - 3238 + 2*f. What is 2*l(j) + 3*s(j)?\nAnswer: -2*j - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 52966 to the power of 1\/2, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6.045 in 1.6, 5, 2.01?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 702298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 + 10011001100?\nAnswer: 10011010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(136) + 6*sqrt(136)*-2 + 6*sqrt(136)*-2)\/(sqrt(72)\/(sqrt(72)\/(sqrt(24)\/sqrt(3)))))**2.\nAnswer: 8993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is s in -2*s**2\/11 - 69662*s\/11 - 3478100\/11 = 0?\nAnswer: -34781, -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1296 - 636. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*u + 4*u + 2*u + (2 + 1 - 4)*(-u + 0*u + 0*u) - 3*u - u + 5*u - 1 + 1 - u + 0*u + 2*u - 15*u + 4 - 4 + 7*u as f*u + j and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 3*y. Let g(h) = 7*h**2 + 15*h + 30. Give g(x) - 5*t(x).\nAnswer: 7*x**2 + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1009 = 484*g + 3347 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -1911*f**2. Let a(c) = 9*c**2. Calculate a(g(j)).\nAnswer: 32867289*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -451 at most as big as -3162\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2157  (b) 1  (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 271858 is divided by 135925.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/188*((-1)\/(-1))\/((-41325)\/522 - -80)?\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -210*f + 0 - 211*f - 1 + 591*f - 191*f. Let g(r) = -35*r**2. Determine x(g(l)).\nAnswer: 735*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (13 - 2) - -4 - (-21 + 14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 19 = a, 0*j + 17 = -j + 5*a. Solve f = -2*f - j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2714 - -2768. Calculate the highest common factor of 1431 and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -83 - -87. Let o be (-2)\/(-7) - -54*x\/28. Let r be 34\/o - 4 - (-3)\/6. What is the third biggest value in r, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 5984467515?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21331 = 2242*m - 2499*m for m.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68)*-1*5*3)\/(sqrt(44)\/(sqrt(176) + (sqrt(176) - sqrt(176)*-1 - sqrt(176)))).\nAnswer: -120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-nine fifths of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4632 = -5*i + 3*d, -2*i + 0*i - 2*d = 1840. Let w = i + 1782. Suppose -w - 474 = -4*r - 4*z, -4*z + 339 = r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 162\/65 greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 40 - 21. Let d = q - 14. Suppose -d*n + 242 = 2*w, -145 = -4*n + n - w. What is the highest common factor of 72 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 35 + 20 = 0. Let w(k) = -k - 8. Let z be w(g). What is the nearest to 0 in 0, 5, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -21 + 9. What is the units digit of 1\/(-1)*(v + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 89 is divided by 0 - (-3)\/7 - (-306)\/21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14012.\nAnswer: 2, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 345 + 29 = 0. Let d = 1 + f. Suppose -5*a + d = 5*h, -2*a = -a + 3*h - 24. Solve -a = -2*c - c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (14\/(-10) - -2)*5. Let j be 2 + 3\/r*2. Let s(p) = p**3 - 4*p**2 - 2*p - 3. Give s(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3 or 42\/13?\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 2288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5, 2, 216?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.5  (b) -0.04  (c) 9  (d) -0.01  (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y\/(y**(3\/4)*y))*y\/(y*y**7*y))\/(y\/y**(-8)*y*y**(-4)))\/((y*y**(-2\/9))**(-39\/4)*(y\/(y\/(y*y*y\/(y*y**(-5)*y))))\/(y*y**(5\/3)*y)) assuming y is positive.\nAnswer: y**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 47*j**2 - 1. What is the tens digit of l(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9 + 10. Put -1, 0.3, z, 0.4 in decreasing order.\nAnswer: z, 0.4, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*g + 633*g - 152*g + 571*g in the form q + z*g and give z.\nAnswer: 1061","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17, 67, 149, 263, 409, 587?\nAnswer: 797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.14 less than 280533?\nAnswer: 280532.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 108 + 99. Let a be q\/(2\/((-8)\/(-3))). Suppose 5*r = 946 - a. What is r rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 174 divide 167214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -11*a**3 - 12*a**2 + 50*a - 26. Give r(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -24*d**2. Let s(y) = 2*y + 12. Let g(o) = 1679*o + 10512. Let k(z) = -g(z) + 876*s(z). Calculate t(k(i)).\nAnswer: -127896*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/l**(3\/5))\/(l*l**(-3)))\/(l**(-1))**(1\/101) assuming l is positive.\nAnswer: l**(1217\/505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 499 = 4*g - 7*f + 8*f, 254 = 2*g + 2*f. Is 22 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**1\/n**(2\/7))\/((n\/(n*(n*n**(-1))\/n))\/n)**(-30) assuming n is positive.\nAnswer: n**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65399448.\nAnswer: 2, 3, 673, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k\/(k**(-5\/7)*k)))**(-50))**(27\/2) assuming k is positive.\nAnswer: k**(-1350\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 69*y - 163. What is the tens digit of o(20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 2, t: 2, w: 2, d: 9, k: 2}. What is prob of sequence tcdk?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 497, 496, 495, 494?\n\"Answer: -j + 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2592 and 60183?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 43 and 1161?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5701  (b) -1\/3  (c) -3  (d) -1606\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3750737449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 306*r + 191*r**3 + 303*r - 609*r + 2 + 2*r**3 - 2 + (-r**2 + 2*r**2 + 0*r**2)*(2*r + 0*r - r).\nAnswer: 194*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the third derivative of -y**8\/280 - 9*y**7\/560 - y**6\/120 - 4*y**3\/3 + 3*y**2. Let w(q) be the first derivative of t(q). Factor w(o).\nAnswer: -3*o**2*(o + 2)*(4*o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:41 AM and 5:48 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1 + (-9)\/21 + (-72)\/(-21). Suppose -3*n = 2*m - 528, x*m = -n + 2*n + 520. Calculate the remainder when m is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 + 4*12\/160*-39)\/(7323\/(-9764))?\nAnswer: 58\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-4)\/(-8))\/(-1)*2 + 3. Suppose 2*g + 3*l - 3 = -10, -4*l - 6 = g. Sort r, g, 5 in increasing order.\nAnswer: g, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 4*l + 3 - 1 - 1. Let p be i(1). Let u = 6461 - 6406. Calculate the greatest common factor of p and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2714 less than -2650746\/977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 52 + -52.00000039. What is b rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.0127 and -123.\nAnswer: -124.5621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 51, 55, 61, 69, 79, 91, 105?\n\"Answer: o**2 + o + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -38\/39 and 2\/351?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 5, -88.36, -9.\nAnswer: -88.36, -9, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 24*h*y**5 - 14*h*y**4 + 686*h*y - 2*y**3 wrt y?\nAnswer: 480*h*y**3 - 168*h*y**2 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) -1  (c) -0.22  (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -240 + 1 = -3*n - 4*z, -321 = -4*n - 3*z. What is the remainder when 496 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*(o\/(o*o\/o**(-4\/11)*o))\/o)\/o*o**(-5\/3))\/(((o*o**(-1\/3))\/o)\/o**(-24)) assuming o is positive.\nAnswer: o**(-947\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001740187 rounded to four decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 4, e: 1, g: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 19\/4 of a centimeter?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 times 4683?\nAnswer: 276297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 891 and 243?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6\/17*z**2 - 2\/17*z + 2\/17*z**4 + 0 - 6\/17*z**3.\nAnswer: 2*z*(z - 1)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**3 - 2*b**2 + 3*b - 2. Let g be s(1). Let c = -5 + 8. What is the third biggest value in g, -3, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) 1\/5  (c) 4  (d) -10  (e) 2  (f) -0.5  (g) 2355\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 2*x + 5. Let k be p(5). Suppose u + 4*u - k = 0. Let y(s) = s**3 - 3*s**2 + 3*s - 3. List the prime factors of y(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 990503.\nAnswer: 990503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 3*w + 5 = -u, -u - 2*w + 6 = 0. Let q be 1 + (2 - (0 - u)). Let l = -7 + 12. Which is the closest to q?  (a) 4  (b) -3  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1417 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -7*c**3 + 2*c + 2. Let k be 388\/(-44) + (-6)\/33. Let a(j) = 27*j**3 - 9*j - 9. Determine k*f(v) - 2*a(v).\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 85\/1333654 and 31\/7.\nAnswer: 1333654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -672325, -1343239, -2014153, -2685067, -3355981?\n\"Answer: -670914*z - 1411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1000101011 (base 2) to base 9\nAnswer: -676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*o + 2*o + 20. Suppose -3*u + 4 = 4*s, -o*s + 3 + 1 = -3*u. Suppose 2*k = 5*x + 18, u = -5*k - 5*x + 49 + 66. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 71620 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76*o - 24 = 72*o. Solve 4*v + 10 = o*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (39 - 0)*(-2)\/(-6). Suppose -5*n = 4*z - 5, -2*z - 2*n - 1 = -3*n. Solve -y - 5*x + f = z, y = -4*y - 2*x - 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 127690*s + 19 - 127679*s - 19.\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 3*p - 6*p + 37622, 2*q - 37626 = -4*p. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2868 - 111?\nAnswer: 2757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6657*i**2\/8 + 465*i\/2 + 3\/2.\nAnswer: -3*(7*i - 2)*(317*i + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 9141497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + 2*i + 2*i - 6*i - 3.\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -944169, -944171, -944167, -944151, -944117, -944059?\n\"Answer: f**3 - 3*f**2 - 944167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (d**2 + 2 - 2)*(6*d**2 - 3*d**2 - 2*d**2) - 5 + 5 - 9*d**4 as y*d**4 + n + u*d**3 + g*d**2 + r*d and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 154057399?\nAnswer: 47, 3277817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 301 and 52073?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -5 + -11*(-17)\/34. Let z(t) be the second derivative of -1\/9*t**3 - 1\/36*t**4 + 0 + 18*t + l*t**2. Factor z(x).\nAnswer: -(x - 1)*(x + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -15 - 11. Suppose -25 + 15 = -5*n. Suppose 18 - 10 = n*c. What is the remainder when b is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 308225 to the power of 1\/2, to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.9 + 1.9. Let r = y + -4. Put r, -3, 2 in decreasing order.\nAnswer: 2, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3898913?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o*o*o\/(o*o**(2\/3)))\/o*o**(2\/19))\/((o**(-7\/5)\/o*o)\/(o*o**(-4)*o))*(o\/o**(-2)*o)**(-25)\/(o\/(o**(1\/2)\/o)*o*o**7) assuming o is positive.\nAnswer: o**(-61937\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 535018 and 23655.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 390936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -72643, -72636, -72629, -72622?\n\"Answer: 7*f - 72650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -6  (b) -3  (c) 2.3994\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -107 - -132. Suppose -f*g + 76 = -24*g. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 123691033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11465680 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 25, 304, 31\/7?\nAnswer: 304","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*c - 4*c + 2*c)*(2 - 2 - 1) + 13 - 237*c + 289*c + 857*c in the form k + n*c and give n.\nAnswer: 907","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 102981568 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3681, -4347, -5459, -7017, -9021?\nAnswer: -11471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 a factor of 4576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 148, 278, 390, 478, 536, 558?\nAnswer: 538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*a**2 + 7*a**2 + 8*a**2 + 7*a**2 to the form i*a + m + s*a**2 and give s.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sum -32.258 and -5999281.\nAnswer: -5999313.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7437 - 7437 - 17*w**2.\nAnswer: -17*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v + 3 - 3. Let y(p) = p**2 - 6*p + 6. Let g be y(5). Let d(t) = 4 + g + 2*t**2 - 5. Calculate d(a(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -10536.985 rounded to the nearest ten?\nAnswer: -10540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the first derivative of 86\/3*k**6 + 0*k**4 + 0*k**5 + 133\/3*k**3 + 118 + 0*k + 0*k**2. What is the third derivative of x(d) wrt d?\nAnswer: 10320*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 818*z - 4087. Let f be j(5). Solve t = -5*n + 9, -f*n = 3*t - 25 + 10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20875980 to the power of 1\/3, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 2 + 0 + (-12)\/22 + 1809597\/803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 7*u - 1. Let v(k) be the first derivative of 3*k**2\/2 - k + 12. Calculate 2*g(r) - 5*v(r).\nAnswer: -r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, -193\/8, 3, -5\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 34 + -228. Let k be 1 - (2 + 3) - n. What is the highest common factor of k and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u + 7*u = 11*u - 3*z - 19, -12*z = u + 82 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -5063411 minus 41955?\nAnswer: -5105366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 144b78 + -16c?\nAnswer: 144a0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -166505 take away 5884?\nAnswer: -172389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 j, 1 u, and 1 a when four letters picked without replacement from {j: 2, a: 1, m: 2, l: 4, u: 1, g: 2}?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-118740)\/51454 - 784\/(-13)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**3\/3 + 476*z**2\/3 - 74285*z\/3 + 3780838\/3.\nAnswer: -(z - 179)**2*(z - 118)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4\/(-6))\/(6\/(-81)). Let t(y) = -4*y**3 + y**2 + 6*y - 5. Let i be t(5). Let j be (2\/(-4))\/(5\/i). Calculate the greatest common factor of s and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (367*k + 59 - 188*k - 175*k)*(-3*k + 3*k + 3*k + (-2*k - k + k)*(0 - 4 + 2) + k - 3*k + k) to the form b*k**2 + g*k + s and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**2 + 1. Let y(t) = 3*t**2. Let a(f) = -4*x(f) - y(f). What is the remainder when a(-3) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 5 + 2)*(f - 3*f - 4*f)*(2*f - 2*f + 2*f).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that 2*h**4 - 1330008*h**3 - 54*h**2 + 35910324*h - 71820432 = 0.\nAnswer: -6, 3, 665004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -32.7, 2\/7, 0.1, 0.2, -1\/6, 2 in ascending order.\nAnswer: -32.7, -1\/6, 0.1, 0.2, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 130*s**5 - 2*s**4 + 842*s**3 + 485940*s**2.\nAnswer: 7800*s**2 - 48*s + 5052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 2*t + 162 = 0, 0 = -x + 3*t - 1 + 38. Let f = x + -24. Calculate the lowest common multiple of f and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes before 10:31 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*j + 5*d + 2, 2*d = -j - 4. Let r be (-4 - 0)*(j + 3). Is 1144\/36 - r\/18 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -185 = 47*a - 579 + 206. Are a and 60\/19 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**4 + 25*d**3 + 78*d**2 - 2016*d - 12960.\nAnswer: (d - 9)*(d + 10)*(d + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -24692104 divided by 6173026?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 162, -13, 3, -4, 1651 in decreasing order.\nAnswer: 1651, 162, 3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 13*(-2)\/(-8)*6184\/773. Solve 35*z + 254 + v = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-5\/11)\/o**(-32) assuming o is positive.\nAnswer: o**(347\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -56.1102887 - 4348.\nAnswer: -4404.1102887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*n**3 - 5160*n**2 + 4437600*n - 1272112000 = 0. What is n?\nAnswer: 860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**(-10))**(-2\/113)\/(c**(-10)\/c)**(4\/7) assuming c is positive.\nAnswer: c**(4818\/791)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 431\/7 + -2579\/42. Sort k, -5, -216 in decreasing order.\nAnswer: k, -5, -216","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (304\/190)\/((-1632)\/(-25500))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/((-3)\/(-9) - 6\/9). Suppose b*l - 7*l + 9 = 0. Solve 0 = -3*h + r - l, -2*h + 3*r + 2 - 8 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*y**3 + 95*y**2 + 170*y = 0. What is y?\nAnswer: -17, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from jmeweew.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in -0.05, -7, 0.4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 8 - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-5)\/(-10) - 75\/6. Let g be 46\/8 - (15\/f - -1). List the prime factors of -1*(-2 + g) + 50.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes before 9:42 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 8724177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11227\/718720 + 7\/4492. Which is bigger: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54878 is divided by 224.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + -7 - (35 - 23)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-28*4\/24*3)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -769185355065103 + -4.\nAnswer: -769185355065107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 30 + -30.07. Let f be 2\/(-4)*4\/5. Which is the nearest to -1\/2?  (a) d  (b) -3  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8351 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 186 and 589?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4413, 4444, 4489, 4554, 4645, 4768, 4929?\nAnswer: 5134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1039104 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(40)*-2)\/sqrt(8) + (sqrt(80) + -3 - sqrt(80)).\nAnswer: -2*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1538 - 1534 - 1525 - k + 4597 + 4*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-16844)\/(-6) - (-2 - (-8)\/6). Suppose -x = -55*s + 49*s. What is s rounded to the nearest ten?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -34 and 59\/27888740.\nAnswer: 27888740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1801.829696 + -16.\nAnswer: 1785.829696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10752 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -22*k - 6. Let s(p) = 8 + 8 + 2*p - 16. Give s(q(o)).\nAnswer: -44*o - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t**4\/9 - 14*t**3\/3 + 52*t**2\/3 + 272*t\/9 - 128\/3 = 0 for t.\nAnswer: -24, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 53 - 28. Suppose 2*m + 21 = l. Let o(h) = 4*h**4 - h**3 + h - 6. Let i(j) = -j**4 + j**3 - j. Let w(a) = m*i(a) + 2*o(a). Differentiate w(r) wrt r.\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*m - 92 = -136. Which is the smallest value?  (a) m  (b) 0  (c) 3  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hsssshhs. What is prob of picking 1 s and 1 h?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the first derivative of 0*p**5 - 5\/3*p**6 + 0*p + p**3 + 0*p**4 - 7 + 0*p**2. What is the third derivative of j(u) wrt u?\nAnswer: -600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, m: 1}. Give prob of sequence mn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -5 * 7003\nAnswer: -35015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 40*q + 15*q - 5280. Calculate the highest common factor of q and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**3 + 23*k**2 - 99*k - 46. Let z be j(17). Solve -u = -2*r + 2, 29*r - 24*r - 5 = z*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 38\/4 + 7\/(-14). Suppose -4*u = 20, 0 = 3*k + 4*u - u + z. Solve -x - 2*x = -k*l + 6, 11 = -5*l + x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 4*n + 1 = 17, -2*n + 8 = 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -491874 - -5415115\/11. Let h = v - 407. What is the common denominator of h and -23\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the third derivative of -1\/4*a**4 - 5*a**2 + 0*a**3 + 0*a + 0. Let l(y) = -4*y. Calculate -5*f(h) + 7*l(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (432\/(-192))\/(42\/8*-1).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(512) + (1*sqrt(512)*-4 - sqrt(512)) - 1*sqrt(512)*-2 - ((5*sqrt(512) + sqrt(512))*4 - sqrt(512))*3))**2.\nAnswer: 2272*sqrt(2) + 2580993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1 and 30.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -0.1204 * 0.4\nAnswer: -0.04816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from {x: 2, k: 1, y: 1, n: 2, b: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 6360.2388s in hours?\nAnswer: 1.766733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/130)\/((-79)\/395).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/10  (b) -10  (c) -1  (d) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-3)\/o)\/o*o\/o**(-8))\/(o**(-2\/7)*o)**3 assuming o is positive.\nAnswer: o**(13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*f + a - 2 = -10*f, 0 = -4*f - a + 20 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1060 - 513. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**2 - 41555677*n.\nAnswer: n*(n - 41555677)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 3aa (base 13) to base 5\nAnswer: 10042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 - 91 = 5*b. Let m = b - -20. Suppose d - 710 = -m*g + 2*d, -4*d = -3*g + 409. What is the highest common factor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17 - 5. Calculate the least common multiple of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, 0.3, 12, -2\/15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put together 178 and -0.048.\nAnswer: 177.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.1+-2214.34607\nAnswer: -2214.24607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:36 PM and 6:24 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 20 = -2*x - 3*x, -2*x = -4*g - 14. Let o be ((-12)\/110)\/((-4)\/(-20)). What is the second biggest value in x, 1\/11, o?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**3 - 2*y**2 + y. Let o be -1*2\/2*1 - 4. Let p(w) = -10*w**3 - 45*w**2 - 15*w + 60. Let d(n) = o*j(n) + p(n). Let d(h) = 0. What is h?\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*x**2 + 19251087 - 19252559 - x**2 to w*x**2 + z*x + f and give f.\nAnswer: -1472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1154319?\nAnswer: 3, 384773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(44) + -1 + 4 - sqrt(55)\/(1*sqrt(5)*-2) - (-2 + (sqrt(44) + -1 - sqrt(396)*-1)).\nAnswer: -11*sqrt(11)\/2 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/((-336)\/(-140))*(-4)\/(-2)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.1 + 0. Let u = 43.7 + -41.7. Sort u, o, -2\/7 in descending order.\nAnswer: u, o, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-13 - -2)*1\/(-1). Suppose -z*j + 9*j = -10. Suppose 0 = -9*u + 31 + j. Solve 4*l = 2*l - u for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-26 + 26 + 2*l**2)*(3*l**2 + 2*l**3 - 3*l**2) + 154*l**5 - 155*l**5 + 283*l**4 - 22*l**4.\nAnswer: 3*l**5 + 261*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q**2\/4 + 2*q - 15\/4 = 0. What is q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**2)**(-20))**37*(k**8\/k**(-11))**15 assuming k is positive.\nAnswer: k**(-1195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z + 4*o + 4 = 0, 0*z + z + 5*o + 17 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 4 = 0, 0 = 4*y + 2*n + 11 + 13. Let p = y + 12. Suppose -3*x - 3*j = -6, -3*j = 4*x - 8 - 0. Solve -p*d - 3*k = k - 12, -4*d + x*k - 12 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 4, -5, -3, 3, -7, 62.\nAnswer: -7, -5, -3, 2, 3, 4, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*o - 39*o**2 - 2*o + 27*o**2 + 18*o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((sqrt(35)\/(sqrt(343)*3)*-2 - (-2*sqrt(1960))\/(-1*sqrt(128)))*1)**2.\nAnswer: 105185\/1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1317?\nAnswer: 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 3*t. Let s(k) be the first derivative of 5\/24*k**4 + 0*k + 2 - 3*k**2 + 0*k**3. Let n(y) be the second derivative of s(y). Calculate p(n(g)).\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -2566\/189, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + g = s + 6, -s - 3*g = 12. Let b be s\/(-2)*40\/6. Let j = b + -21. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.02 + -141.\nAnswer: -140.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 31682*g**3*x**3 + 4*g**3*x**2 + 30*g**3 - 24*g**2*x**3 + 4*g**2*x + 1887*g**2 + x**3 wrt g.\nAnswer: 190092*x**3 + 24*x**2 + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 55339, 55328, 55307, 55270, 55211?\nAnswer: 55124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = 2*w - 0*w. Suppose 5*g + 15 = w, -7 = 3*k + 2*g - 1. Solve 2*u - 4*u + 10 = k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 - (475\/(-472))\/1. Let o = -1295\/472 - n. Let f(i) = i + 2. Let c be f(-5). Is c at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w - 5. What is b(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 149  (b) -1\/2  (c) -0.12  (d) 918\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -7*n**3 - n**2 + 2*n - 2. Determine m(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**2 - 8*a + 4. Let g be l(5). Let y(s) = -44*s + 31. Let j(x) = 15*x - 10. Let r(f) = g*j(f) - 4*y(f). List the prime factors of r(8).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 8334 (base 12) in base 9?\nAnswer: 21544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 + 2. Let b = 1 + 1. Suppose n*g - 6 = b*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 39048475694 and 3.\nAnswer: 39048475697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y**2 - y - 3. Let u = -525 + 525. Determine x(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(114)*4 - sqrt(114)) - ((sqrt(114) - -2*sqrt(114))*3 + sqrt(114) + sqrt(114)))\/((sqrt(12) + (sqrt(768) - 2*sqrt(768)))\/(2*sqrt(32))).\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}