diff --git "a/data/dm_maths/full_data_1/1772_11255.jsonl" "b/data/dm_maths/full_data_1/1772_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1772_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the fourth root of 170591 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 15 = 0, r - 4*r + 3*j = -489. Let a = r + -174. Let t(z) = -z**2 - z - 5. Let v be t(0). Are a and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 14*h**2 - 48*h - 67. What is the hundreds digit of p(24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1596 - -0.158869. Round w to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49 and 3808?\nAnswer: 26656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x. Let l(m) = -7*m. Determine l(g(t)).\nAnswer: -21*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(243) - (sqrt(243) + 2*sqrt(243) + sqrt(243))) + sqrt(224)\/sqrt(2))**2.\nAnswer: 80143\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*a*s**4 - 2*a*s**2 - 2*a*s + 2*s**6 + 2*s**4 - 2*s**2 wrt s?\nAnswer: 288*a*s + 240*s**3 + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*m + 21, 2*m + m + 9 = 0. Suppose 5*i + 5*g - 5 = 0, z = -0*i + 2*i - 3*g. What is the remainder when 10 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (45\/10)\/(2\/(-4)). Let o = i + 60. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44128665 and 21609.\nAnswer: 3087","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29412.119 - -29397. What is m rounded to 1 dp?\nAnswer: -15.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ue when two letters picked without replacement from egcueu.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zxvxxxuyxyxuyzu. What is prob of sequence zxxx?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15133 - -1?\nAnswer: 15134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -2 (b) 1 (c) 0.1153 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81.1 + 82.1. What is the fifth biggest value in z, 25, -2\/7, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 221570 and 12?\nAnswer: 1329420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 155064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -157652 or 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/117, 4, -85, 0.2, 2\/9.\nAnswer: -85, 4\/117, 0.2, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 52\/87 - (-4)\/(-6). Let a(s) = s**2 - 20*s - 1. Let x be a(20). Which is smaller: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 10356, 0.3, 29, 29\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h + 12 = 12. Put -4, 1, 2, h in ascending order.\nAnswer: -4, h, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u. Let z(v) = v - 10*v + 11*v. Determine z(s(h)).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o + 1. Let j(g) = -5*g - 5. Let k(m) = -m**3 + 3*m**2 + 7*m - 7. Let l(c) = -4*c**2 + 21*c. Let h be l(5). Let t be k(h). Determine t*z(f) - 4*j(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-212)\/(-3))\/((-1)\/18). Let w = -2427\/2 - l. Is w not equal to 59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 19*b = -18*b + 133, -65 = -2*k + b. What is the highest common factor of 187 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 173909311?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(68) - sqrt(68))\/sqrt(4) + sqrt(272)*5.\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1013211 (base 4) to base 12\nAnswer: -2799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -127\/21 + 19\/3. Sort 1, x, 1\/5, -0.03 in descending order.\nAnswer: 1, x, 1\/5, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1538286.0200021 - -1538295.02. Let o = 31 - 22. Let x = z - o. Round x to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 7*t - 14 = 0. Is t >= 1\/46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 612 - 616. Let d = -25 - -32.8. Put 0.5, h, d, -2\/11 in ascending order.\nAnswer: h, -2\/11, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - p - 9, 2*y + 3*p + 0 = 1. Let v be (4 + (-70)\/28)*(-9)\/(45\/(-10)). Determine a so that -6*a**v - 26\/3*a - 4\/3 - 16*a**y = 0.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4 = 3*n - 5026, 3*g = 18. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 16 = v + v, 5*v - 2*h = 29. What is the common denominator of v and -30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 566291 and -0.0233.\nAnswer: -13194.5803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {k: 2, s: 2, f: 2, y: 3}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 853 + -488. Suppose -2*i - f = -7*i. Is i a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 75 = -93. Let c = -19 + s. Suppose 5*y - 71 = 2*p, -5*p + p = 5*y - 53. What is the remainder when c is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 7:01 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-120 + 310)*114\/10 and 5776.\nAnswer: 17328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {q: 13, a: 6}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 2:56 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 11444*w**2 - w - w + 43*w**4 - 11443*w**2 in the form a*w + h*w**4 + r*w**2 + n*w**3 + m and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1667, 1038, 383, -310, -1053, -1858?\nAnswer: -2737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2768.56 to the nearest 10.\nAnswer: -2770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-8))\/((-3)\/(-12)). Let w(m) = 5*m - 2. Let q(h) = 1. Give n*q(c) - w(c).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5448?\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**5 + 3215*s**4 + 53440*s**3 + 246620*s**2 + 370192*s + 129920 = 0. What is s?\nAnswer: -10, -4, -2, -1\/2, 1624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 356 - 145. Let p = -108 + r. Suppose 20 = -3*l + 5*x + p, 4*x = 4*l - 108. Calculate the remainder when l is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -9*v + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*i**3*l**2 + 3319*i**3*l - i**2*l**2 - i**2*l + 585*i*l**2 wrt l?\nAnswer: 26*i**3 - 2*i**2 + 1170*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/25)*(w\/((w\/((w**2*w)\/w*w))\/w))\/w)\/(((w\/(w\/((w**4\/w)\/w))*w)\/w)\/((w*w\/(w*w*w\/w**5*w)*w)\/w)) assuming w is positive.\nAnswer: w**(102\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 27 + (-8 - (-23 - -9) - 9)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -917 + 909.66. Let n = z - -6.84. Sort 0.02, -0.2, n in decreasing order.\nAnswer: 0.02, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421092 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-68)\/(-374) - (-210)\/55. Solve o*w + 4*u + 5 = -7, 0 = 4*w - 3*u - 16 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 964990 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1977*q - 1976*q - 986 + 989.\nAnswer: q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 64694\nAnswer: -1\/64694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 8*z - 3. Let f = 14 - 9. Let j(y) = y + 0 - 8*y + 2 + 1. Let b(r) = f*x(r) + 6*j(r). Calculate b(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**6\/30 - d**5\/60 + d**3\/6 - 6*d**2. Let y(s) = s**2 - 6*s + 1. Let j be y(6). Determine b(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51*i*l*x - 4603*i*l + 365*i + 2189*l*x wrt x.\nAnswer: -51*i*l + 2189*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/2*6\/18*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 27\/(-21) + 2 + -1. Let f be (-1 - (0 + -1))*-1. Do f and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81701?\nAnswer: 81701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 1\/16, -4, -65, 0.05?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r + 13. Let c be a(6). Factor 5 - 41*w**2 + 16*w**4 - 40*w**3 + 11*w**2 - c*w**4.\nAnswer: -5*(w + 1)**3*(3*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 587*i**2 - 584*i**2 + 4*i - 41 - 40 - 46 + 122. Give h(3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 0 - 1484\/14. List the prime factors of 6 + d\/20 - (-3364)\/10.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 8*v + 9. Let f be y(6). Let x be (-6)\/(-8) + 4 + 388\/(-80). Let r be 96\/50 + -2 + 0. Which is the closest to r? (a) x (b) f (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**(-1\/2)\/(n\/(n*n\/n**4)*n*n**(1\/5)\/n*n) assuming n is positive.\nAnswer: n**(-47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) -3 (c) -631\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14763*p + 14766*p + 3*g = -27, 12 = -3*p + 2*g for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23898060 and 188194?\nAnswer: 2578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 + -0.2. Let u = -2137207\/6959260 + -2\/49709. Let z = u + 2\/35. Which is the third smallest value? (a) z (b) v (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85 + 86. What is the tens digit of ((-2)\/(-4))\/t - 6233\/(-46)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.15 - -10.15. Are g and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-2)\/(-5) + 43629\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -11. Does 2 divide (-25)\/s + (-6)\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -4*c + 150, -2*c - 95 + 181 = 4*d for c.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 126275.7631791.\nAnswer: 126270.7631791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -25, -3\/5, -4.1?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1964 and -3.\nAnswer: 5892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 0*n + 2*n - 652, -4*r = -n - 873. Is 22 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(364) + -3*(-1*sqrt(364) + sqrt(364)))\/(sqrt(700)*-1))**2.\nAnswer: 13\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -96 + 95 - 2*p**2 - p**2 in the form l*p**2 + d*p + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -623 - -639. What is the remainder when 141 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.77677 times 75\nAnswer: 808.25775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.06000325 + 0.06. Round o to 7 decimal places.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 897480 and 54?\nAnswer: 897480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*n + 43. Suppose n - 42 = -3*r. Let x be (-2)\/(-6) + 14159996\/r. Round x to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) -1\/6 (c) 5 (d) 0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 437 = 3*u + 389. Let s be 55\/25 + u\/(-40). Which is the closest to -0.4? (a) s (b) 2\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270*o**3 + 5251 - 4990 + 792*o**2 + 0*o**4 + 786*o + 3*o**4 = 0. Calculate o.\nAnswer: -87, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 9*x = -5*b + 3, -x + 5*x + 0*x + b = -12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h*l**2 - h*l*s + 9*h*s - 2*h - 4*l**3*s + 2*l**3 - 21*l**2*s + 2*l*s wrt l.\nAnswer: 4*h - 24*l*s + 12*l - 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 65050 and -38314123.\nAnswer: -38249073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3077633 is divided by 125.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -330853 less than 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69432*n**2 + 15*n + 49?\nAnswer: -138864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 17352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -771544994059 take away -0.13?\nAnswer: -771544994058.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-152)\/(-95))\/((-4)\/10). Let h be 241\/(v*2\/(-8)). Suppose -f + 2*c + 8 = -65, h = 3*f + 5*c. What are the prime factors of f?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1764 - -0.3.\nAnswer: 1764.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2 plus -63?\nAnswer: -66.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 - (7 - -8 - (7 + -12 - -14)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385977 is divided by 395?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 8) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-3) - (3 - -2). Let t = -1 - k. Suppose 3*s - 10 = -2*s. Solve -5*a - s*q - 1 = -9, 3 = t*a + q for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 48?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1cc24 (base 16) to base 12\nAnswer: -58204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {y: 2, v: 2, h: 7, c: 1}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3717.9 - 3718. Sort 0.5, 77, 1\/6, l in descending order.\nAnswer: 77, 0.5, 1\/6, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9440 and 100370.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -28958*h + 897666. Give t(31).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12033012 (base 4) to base 3.\nAnswer: 1022001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77330647399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 101\/3 + (42\/(-9) - -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 31 = 6*n - 36 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 + -55.13. Let r = z - 0.47. Let f = -2 + 1. Which is the closest to 3\/4? (a) r (b) f (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, k: 2, g: 1, r: 1, h: 1, d: 1}. What is prob of sequence hd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1\/3 (b) 11 (c) -0.4 (d) 3\/2 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 b, and 1 s when three letters picked without replacement from sbkmmiksskisksu.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -25*c**2 - 845*c - 42443. Let t(w) = 14*w**2 + 424*w + 21222. Let x(g) = 4*d(g) + 7*t(g). Factor x(h).\nAnswer: -2*(h + 103)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9\/10 of a century?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*u**2 + 84*u**2 + 1250 - 1320 + u wrt u.\nAnswer: 224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -545*x - x**3 + 277*x + 269*x + x**2. Let d(s) = -18*s**3 + 7*s**2 + 5*s - 1. What is d(q) - 5*v(q)?\nAnswer: -13*q**3 + 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2310*c**5 + 201*c**2?\nAnswer: -138600*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 18*x + 69. What is the units digit of m(18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -403, -1415, -3393, -6661, -11543, -18363, -27445?\nAnswer: -39113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(90) + sqrt(10)) + (sqrt(90)\/sqrt(9))\/sqrt(5).\nAnswer: 5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -65154, -130435, -195716, -260997?\n\"Answer: -65281*d + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -14*h - 140. Let u be w(13). Which is bigger: u or -325?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -8*n**5 + 15*n**4 - 10*n**3 - 3*n**2 + 3*n + 3. Let w(o) = 7*o**5 - 15*o**4 + 10*o**3 + 2*o**2 - 2*o - 2. Let k(i) = 2*s(i) + 3*w(i). Factor k(v).\nAnswer: 5*v**3*(v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73771833?\nAnswer: 3, 23, 41, 89, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/2 - 3*c**3\/2 - 3249*c**2\/2 - 83317*c\/2 - 232116.\nAnswer: (c - 69)*(c + 8)*(c + 29)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 2705.\nAnswer: 1\/2705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express y**4 + y**2 - 6*y**3 - y**4 + y**4 - y + 1 as a*y**3 + z*y**2 + n*y + c + r*y**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420806?\nAnswer: 2, 210403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4287 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 71855 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 13*b + 15*b + 1164, -l - 4*b - 270 = 0. Does -585\/2 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 902820 and 16605.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6026095?\nAnswer: 5, 1205219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + l + 10*l + 5 - 3*l. Does 4 divide o(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36723187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1056, 41, 10 in descending order.\nAnswer: 1056, 41, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -130740055408 + -4.6.\nAnswer: -130740055412.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one fifths of a decade?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((1 + sqrt(68) + sqrt(68))*3 - 4*(-2 + sqrt(68)) - (2 + -1 + sqrt(68) + 0 + -4)) + -1)**2.\nAnswer: 52*sqrt(17) + 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 1. Let a(o) be the second derivative of -o**4\/2 + o**3\/6 - 3*o**2 + 3*o. Let j = -4 + 9. Suppose 0 = 2*w - j*w + 30. What is w*v(d) + 2*a(d)?\nAnswer: -2*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 4*y**2 + 5*y + 7. Let k be 8\/(-84) + (-8)\/(-84). Suppose -2*a - 8 = k, x = 3*x - a + 6. Calculate z(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 0)\/((-3)\/8). Let u be 4\/m - (-2)\/4. Solve -h + u*h - 4 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/7 (b) -12\/7 (c) -38\/9 (d) 4\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**5\/7 + 45*s**4\/7 + 102*s**3\/7 + 6*s**2\/7 - 99*s\/7 - 51\/7 = 0.\nAnswer: -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 56542892*a*q**2 + q**2 - 32821508*q wrt a?\nAnswer: 56542892*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from powzaapapqapoqp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.92939ml to litres.\nAnswer: 0.00892939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + 1*-262*-1. Suppose -5*s - 5*w = -j, s + 6*w - 49 = 3*w. Calculate the remainder when s is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*w - 23549 = 719*w + 3760 + 24540 for w.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345839 is divided by 324.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10853 = -6377*i + 8179*i - 1761 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f + 0*f + 13 + 22 + 8 to the form u*f + j and give j.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 8\/3 (b) 0 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 111463\/404510 - 60\/2129. Calculate the common denominator of -117\/14 and y.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one tenth of a second?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 49450000 to the nearest 1000000.\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -s**2*v**3 - s**2 - 25*v**3 - 289 wrt v?\nAnswer: -3*s**2*v**2 - 75*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5*c = -5, -3*h - c + 5 = -0*c. Let s = 3.3 - 3.8. Sort -2\/35, s, h in descending order.\nAnswer: h, -2\/35, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/3 - 14\/3. Let l be 1 + -3 + u\/(-1). Suppose 5*t - 5*a + 10 = -4*a, 0 = 2*t - l*a + 4. Is t at least as big as -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45878451926 - -0.219.\nAnswer: -45878451925.781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (5 - (1 + 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1637.92 + 1638. Which is the third smallest value? (a) 0 (b) 2\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 74*k**3 + 12*k**2 - 13*k + 9. Let q(c) = -25*c**3 - 4*c**2 + 4*c - 3. Let w(l) = -8*q(l) - 3*s(l). Is w(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (13 - 13) + -2 + 8. What is the hundreds digit of (-3)\/i*(0 + (-808)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 665*o = 445*o + 1540 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a hour in seconds?\nAnswer: 30600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2592500 divided by -850.\nAnswer: 3050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 5888*h - 3686*h + 7 + 3508*h.\nAnswer: -6066*h - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62 and 5146.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d = -88. Let s be 40\/(-12)*(1 + d). Suppose 2*q - 7*q + s = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -142, -768, -1396, -2026?\n\"Answer: -i**2 - 623*i + 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -13*j**6\/60 + j**4\/24 + j**3\/6 - 188*j**2. Determine i(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 u, and 1 t when three letters picked without replacement from {q: 4, u: 1, x: 3, b: 2, t: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010775 to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/5, 15, 0.2, -2\/845?\nAnswer: -2\/845","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -761.73 and -0.3?\nAnswer: 228.519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 8:51 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -428*m**3 - 305.\nAnswer: -1284*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/98 + 174752940\/(-1942360).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94058055 is divided by 5392?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, u: 8, v: 1, p: 1}. What is prob of picking 1 v, 1 u, and 1 n?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -1 - (67 - 69).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92432914 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*z**2 - 6*z**2 + 34*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + -3*(-4 + 5 + (sqrt(108) - (sqrt(108) - (0 + sqrt(108)))) + -4 + (6*2*sqrt(108) - sqrt(108))))**2.\nAnswer: -7776*sqrt(3) + 280098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1637081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 537*k**2\/2 + 3756*k - 42 = 0.\nAnswer: -14, 2\/179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 + o**5 - 2*o**2 + (-o + o + o)*(2*o**4 + o**4 - 2*o**4) - 6*o**5 - 2*o**5 + 0*o**5 + 2*o**2 - 2*o**5 - 2*o**2.\nAnswer: -8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57198 (base 11) to base 10.\nAnswer: -82750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 1. Let r(w) = -12*w - 8. Suppose -a - 1 - 7 = 0. Let u(q) = a*m(q) - r(q). Let y(f) = 2*f**2. What is y(u(i))?\nAnswer: 32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 12 = 0, 5*y - 4 = 5*p + 6. Let d(c) = c**2 - 3. Let w(k) = 3*k**2 - 8*k - 12. Let q(u) = 4*d(u) - w(u). Determine q(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -920*y - 484. Let r(o) = -92*o - 50. What is -6*p(u) + 58*r(u)?\nAnswer: 184*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -2\/21*c**3 + 0*c - 3\/28*c**4 - c**2 - 1\/30*c**5 + 0. What is h in d(h) = 0?\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**4\/12 + 8*d**3\/3 - 11*d**2\/2 + 5*d. Let y be s(-17). Solve 16 = 2*c - y*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 3 + 1*(-24)\/4. Suppose -12 = 5*s - 4*s. What is the tens digit of s\/10*(725\/(-10) - t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 21 (b) 0 (c) -3\/7 (d) 1.54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2077 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6021693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-364)\/(-126)*-6*(-3)\/2. Calculate the highest common divisor of 52 and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -1\/4, 1016, -10\/11, 133?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3783.47 years to centuries.\nAnswer: 37.8347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5645 and 217897.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + n = 0. Let q = 2 + n. What are the prime factors of 1 + 13 + q*-1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -102 - -118. Suppose -y*g + 132 = 20. Solve -7 = g*v - 42 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/20191129 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**2 + 2*w**2 + 0*w**2)*(-2 + 1 - 1)*(8 + 2 - 4)*(0 + 7 - 4).\nAnswer: -216*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1433877?\nAnswer: 3, 59, 8101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -o - 9*o. Calculate the highest common divisor of o and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/12 and 111\/28570.\nAnswer: 171420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + u**2 + u + 2. What is the remainder when 2 is divided by y(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175466?\nAnswer: 2, 59, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87686?\nAnswer: 2, 17, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3302455 (base 8) in base 9?\nAnswer: 1600402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26540 - -43344. Does 246 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d**2 - 31*d + 1. Calculate m(-7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.03 - 4. Let t = l - -0.07. Is 0.3 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f + 4. Let t(h) = -126*h + 264. Let g(l) = -132*d(l) + 2*t(l). Let i(q) = 15*q**2. Calculate g(i(m)).\nAnswer: 180*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -5*d + 43, 3*n - n = -4*d + 36. What is the first derivative of -5*c + 5*c + 9*c + d + 5*c wrt c?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45741*-7.\nAnswer: -320187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 k, and 1 f when three letters picked without replacement from {k: 4, d: 1, h: 2, f: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613 is divided by 128?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f. Let l = -26 - -50. Let o = 24 - l. Let y(b) = -1 + o - b + 1. What is y(s(p))?\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 14*m**2 + 4*m - 33. Is k(17) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14 and -28189?\nAnswer: 28175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3815.\nAnswer: 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 135 + 1398*p**3 + 1148*p**3 - 2552*p**3 + p**2 - 2*p**4 to the form k*p**4 + x*p + i + h*p**2 + a*p**3 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3593\/2 - -1759. Let t = -62969\/10855 - -2\/2171. What is the common denominator of t and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 447*d - 220*d - 229*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-10) + (-2)\/(-9) - 144\/648?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 11:56 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 14078548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -974 or -973?\nAnswer: -974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 + (2 + 0)\/(-2). Let j(y) = 5*y + 23. Let f be j(9). Let a = f - 64. Solve 3*u + 7 = a*w, c*u + w + 3 = 3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5207 is divided by 1732?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 11:03 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 4\/17, -15?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/((-27)\/59587) - (-2)\/9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -241218256*y + 303720397 wrt y?\nAnswer: -241218256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8828850 to the power of 1\/3, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 8*k - 12*k**2 - 8*k + 14*k**2. Let j(z) = -z. Let d(h) = h. Suppose 2*g - 6 = -g + 5*x, 2*x - 4 = -2*g. Let n(u) = g*j(u) + d(u). Calculate o(n(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1337, -2685, -4039, -5405, -6789, -8197?\nAnswer: -9635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2233*v + 372*v + 3927*v + 3841*v in the form w*v + q and give w.\nAnswer: 5907","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -10011100011000010?\nAnswer: 10011100011000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3522552655?\nAnswer: 5, 8269, 85199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by (-11)\/((-165)\/508) + 2\/15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) - -1*sqrt(175)*6)*3 + 3)**2.\nAnswer: 630*sqrt(7) + 77184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 241860825, 483721650, 725582475, 967443300, 1209304125?\nAnswer: 1451164950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 442996778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -546 + 498. Is (2526\/(-8))\/(4\/m) + -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3969 and 1326969.\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 137 + -138 + (1 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 p, and 1 x when three letters picked without replacement from {z: 6, p: 1, x: 1, h: 4, g: 1, b: 2}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**3 + 21044*j**2 - 28690396*j + 2637978156 = 0. What is j?\nAnswer: 99, 2581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -30, -52, -78, -108?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 23\/18 - 1\/1. Let f = 11\/90 + s. Let q be 77\/66*(-1)\/7. Which is the nearest to -1\/2? (a) q (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 113950 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64610819.\nAnswer: 7, 13, 710009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5608045?\nAnswer: 5, 17, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -47 - -914 - -2*1\/(-2). Let f = -477 + i. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2. Suppose -16*q + 12*q - 12 = 0. Let o(r) = -9*r + 2. Let s(g) = -6*g - 5*g + g + 2 + 1. Let v(h) = q*o(h) + 2*s(h). Determine m(v(u)).\nAnswer: -98*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 36 = 24. Let u(v) = -v**2 - 11*v - 6. Let o be u(-9). Calculate the highest common divisor of o and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*q + 11 = -0*q, q = 2. Let u = -13 + t. Solve 5*f + 3*l - 7 = 0, f + 11 = -u*f + 2*l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*g**3 + 405*g**2 + 32290.\nAnswer: 66*g**2 + 810*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7568303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-1)\/24*-21.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/(-30))\/(2\/(-3)*5220\/(-63800))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 8 = 4*h, 2*l = -1 + 5. Suppose 0 = s + 2, s - 85 - 209 = -h*d. Calculate the smallest common multiple of d and 12.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23391300\/823 + 28422. Let y = h - 30535\/11522. Find the common denominator of y and (-1050)\/80 + 6\/4.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65\/84 - 3\/28. Let j = -5.8 + 0.25. Let h = j + 5.45. Which is the nearest to 1? (a) 4 (b) h (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7220 and 190247?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53281\/48 + -3349\/3. Let g = -1996\/7 + 723607\/2520. Let n = g - -11\/40. Calculate the common denominator of n and c.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 28164, 56470, 84776, 113082, 141388?\n\"Answer: 28306*x - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -3*l + 12, 3*q + 6*l - 16 = 2*l for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 136673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 15*r. Give o(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**7\/840 - u**6\/60 + u**3\/2 - 2*u. Let h(d) be the second derivative of x(d). Give h(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - k - 96. Let j = 33 - k. Which is the third smallest value? (a) 0.4 (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + (-2 - (6 - 8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/109))**(-2\/5))**0 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 53345.56 nanoseconds?\nAnswer: 53.34556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 10*d - 11. Let b(f) = -3*f + 4. Let l(w) = -11*b(w) - 4*y(w). Calculate the common denominator of l(5) and 57\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1324 = -417*s + 8267 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t + 3. Let k be f(0). Let w = k - -16. Is w a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -186, -521, -1080, -1863?\nAnswer: -2870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70048853 and 1414?\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**3 - 10*o**2 + 9*o - 6. Let a be g(9). Suppose 12*b + a = 4935. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1904)\/41055 - ((-116)\/(-30) - (9 - 5))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.871744 from 3665409.\nAnswer: 3665409.871744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -13.8. Let r = -7 + l. What is the third smallest value in 0.4, r, 1, 0.06?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**2 + 0 + 0*c**3 + 0*c - 1\/12*c**4. Let b(h) = h + 4*h - 3*h. Give b(w(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5159 + 0.0351. Let c = -0.051 + r. Let f = -7 - -8. What is the closest to f in 2, c, -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1548 + 1554. Let g(z) = 1 - z - 1 + 2 + 2. What is g(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-19 + 25 + -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2310 (base 5) to base 13.\nAnswer: -1c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 179938 - 179944 = 3*b, 2*x = 6*b + 12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**5 - 11*b**4\/3 + b**3\/3 + 19*b**2\/3 - 2*b = 0.\nAnswer: -3, -2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 3*o - 6 + 3 = 0, -2*o - 2*o + 1 + 11 = 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016257000 rounded to the nearest 1000000?\nAnswer: 1016000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 11, e: 6, r: 2}. What is prob of sequence eeu?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**3 + 32 - 416*o**2 - 32 + 416*o**2.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12102001 (base 3) in base 4?\nAnswer: -331213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13234 - -20?\nAnswer: -13214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2011 - -2008. Let x = -7 + 7.3. Which is the fourth biggest value? (a) 2 (b) x (c) 3\/5 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1822127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ymfecyymeecemyyeyyyi. What is prob of sequence eiye?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 92 + -188 - -16?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -1\/3, 2342, 1\/4, -1, -2.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*u = -105. Suppose -2*p = -p + l + 3, 5*l + u = p. Suppose 0*m + 0*m = -2*m. Which is smaller: p or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 61097, 61098, 61101, 61106, 61113, 61122, 61133?\n\"Answer: k**2 - 2*k + 61098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2634 (base 8) to base 16\nAnswer: 59c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2 - 245*f - 755. Give v(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*j + 3*j. Let b = 2 + -1. Let k = 10 + -13. What is the closest to b in 0.1, k, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27015025 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 103, 385, 775, 1273, 1879, 2593?\n\"Answer: 54*p**2 + 120*p - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -992?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12443\/348 + -1020\/29. Let l(v) be the first derivative of -1\/20*v**5 + a*v**3 + 3*v - 5\/2*v**2 + 28 + 1\/8*v**4. Factor l(j).\nAnswer: -(j - 2)**2*(j - 1)*(j + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.58 from -36.553.\nAnswer: -35.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 34, -36, -294, -842, -1782, -3216, -5246, -7974?\n\"Answer: -17*y**3 + 8*y**2 + 25*y + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 23*n + 5. Let v be ((-48)\/(-4))\/3 + -3. Let u be y(v). What is z in -u*z**5 - 244*z**4 - 201*z - 348*z**3 + 820*z**2 + 75*z - 74*z = 0?\nAnswer: -5, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zg when two letters picked without replacement from gzgygzggz?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 19214648\nAnswer: 3\/19214648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o = 0. Suppose -3*w = -o*w + s - 4, -2*w + 12 = -4*s. Let u = -4 - -6. Solve -3*j + 15 = u*g, 3*g + w*g + 15 = 3*j for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + 0. Let z = -11 + d. Let v = 7 + z. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -123*b**2 - 103*b**2 - 158*b**2 - 83*b**2 + 27 + 142*b**2 wrt b?\nAnswer: -650*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6\/4507 - -8072\/707599. Which is the closest to -2\/7? (a) x (b) 0.1 (c) 0.3 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + 3*f**2 + 2*f**2)*(2079 + 101*f + 1970 - 4066).\nAnswer: 202*f**3 - 34*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-4\/7)*u)\/u)\/(u*u**(-2)))\/((u\/u**(-1\/4)*u)\/(u*u**(-1\/4))) assuming u is positive.\nAnswer: u**(-15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 7, 15, -1 in descending order.\nAnswer: 15, 7, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 390 and 51002510?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7, -1.8, -0.4, 1\/15, -4?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -625\/132 - -227\/22. What is the common denominator of f and -113\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90889, 181806, 272741, 363694, 454665?\nAnswer: 545654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**5\/60 - q**4\/4 + 11*q**3\/6 - 2*q**2. What is the remainder when a(10) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4 + 19 - 29*y**2 - 2 wrt y?\nAnswer: -58*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*g - 275 = -323, 0 = -3*r - 4*g + 50. Let b(v) = 131*v**2 + 2*v - 2. Let w be b(-2). Calculate the highest common divisor of w and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - n = v + 21, -2*v = 2*n + 10. Let l(m) = -2*m + 3. Let d be l(v). Solve -2*b = -4 - 2, -4*x + d = 5*b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*g**4 + 195*g**3 + 1400 with respect to g.\nAnswer: -16*g**3 + 585*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -13*h**2 - 97*h + 34. Calculate s(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s + 8. Let w be n(-7). Let x = w + 9. Let b = 17 - x. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.59498l in millilitres?\nAnswer: 54594.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009779 to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*n + 1 - 2*n)*(-1 - 5*n**2 - 1 + 0).\nAnswer: -5*n**3 - 5*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 76 + -94 + (62 - 11)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/172, -43, -0.5, -1\/17 in decreasing order.\nAnswer: -3\/172, -1\/17, -0.5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 206.102 times -288?\nAnswer: -59357.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*2*(-22)\/1089?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (25\/(-35) - -1)*(-3 - -66). What is the greatest common divisor of p and 1854?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y - 11. Let w be t(-11). Suppose 0 = -5*l - 2*o + 275, 5 = -w*o - o. What are the prime factors of l?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/((x\/(x\/x**(-2\/15)*x)*x*x)\/x))\/(x**0\/x*x))\/(x\/x**(-8)*x*x\/(x*(x*x**8\/x)\/x)) assuming x is positive.\nAnswer: x**(-13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 - u + u + (4 - 3 + 2)*(0*u**2 - u**2 - u**2) + 4*u**2 - 5*u**2 - 2*u**2 - 5*u**2 - 6*u**2 - 2*u**2.\nAnswer: -21*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8075.\nAnswer: 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 6:46 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 5*c + 430, c + 3*c = 0. Let p = -37 + i. What is the units digit of 525\/p + (-2)\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13876.9045458 take away 2?\nAnswer: -13878.9045458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 84 - 82. Let z = 414041\/18 - 23008. What is the common denominator of z and v\/10 + 6\/(720\/(-1924))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.99917379024 minus 0.7?\nAnswer: 5.29917379024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, s: 1, h: 1, a: 2, x: 1, l: 1}. What is prob of sequence cc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0*g - 9. Let x(l) = l**3 + 2*l**2 - 4*l - 3. Let a be x(-3). What is the common denominator of 3 + a - 177\/g and 68\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 144 = 12*h. Let p be ((-612)\/70)\/h - (-8)\/14. Let m = -4.05 + 0.05. What is the closest to p in 0.3, -4\/3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 12*f**2 - 11*f. Suppose 4*v + 5*y = -44, -4*v - y + 0*y = 44. Let x be i(v). Let o = x + 5. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3525 - 3520. Solve l - 3 = 0, i - 4 = s*l - 22 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*c = 5*c - 51*c + 3185676. List the prime factors of c.\nAnswer: 2, 3, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*a - 13 - 35. Suppose -u - 2*u + 15 = 0, -28 = -a*s - 4*u. Solve 2*p + 4 = -s for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 - 39. Which is the third biggest value? (a) 1 (b) q (c) -3\/5 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 + 46.00065. What is w rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -23. Calculate the remainder when 10\/(-2) + 124*7\/2 is divided by d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*d + 151*d - 586 = 0. Let x(q) = d + 586 - 1166 - 8*q + q**2. Suppose -28 = -5*k + 3*h - 2*h, -k + 5*h - 4 = 0. Give x(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*(sqrt(1008) + 1)**2*3 - (-2 + sqrt(1008) + sqrt(1008)*1*2 + sqrt(1008) + 1 + sqrt(1008) + -2).\nAnswer: -12105 - 348*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 323 + -317. Solve -15 = -c*r + 9*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*x**2 - 3576*x - 4*x**2 + 3568*x to n*x**2 + v + m*x and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -150, -77, -26, -9, -38, -125, -282, -521?\nAnswer: -854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2 + 54*d - 323. Give u(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 + 2*k**2 + 6*k**2 + 6 + 1753*k - 3.\nAnswer: 8*k**2 + 1753*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14950 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (3948\/16)\/(2233\/1276)?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 120 = 2*u, -3*l + 2*u + 150 = -45. Let x(v) = 2*v - 4. What is the remainder when l is divided by x(10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.994 - 0.006. Let b be (-1)\/3*3\/4. What is the nearest to 0 in b, n, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**2 + 12426*q + 13328952 = 0.\nAnswer: -884, 5026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**10\/15120 - p**9\/3780 + p**7\/630 + p**6\/360 + p**4\/8 + 2*p**2. Let b(h) be the second derivative of o(h). Factor b(u).\nAnswer: -2*u*(u - 1)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 5. Let u be z(7). Let f be (-5*2)\/((-3)\/(-6)). Let r = u - f. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 + 2 = 2*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 898 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/((-390)\/(-50))*(-6)\/(-105)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3*-3 - -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*u**2 + 2*u**2 - 113*u**2 + 5*u**2 - u**2 - 3*u**2 + (-3 + 3 - u)*(-5*u + u + 3*u) + 0 + 0 + 2*u**2 - u + u + 2*u**2 as q*u**2 + b*u + s and give q.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v**4 + 3*v**4 - 4*v**4)*(-121 - 1119 + 579 - 1245 - 975) in the form z*v**3 + t*v + r*v**2 + n*v**4 + o and give n.\nAnswer: 5762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25670 and 31147978?\nAnswer: 5134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -210021212212 (base 3) in base 15?\nAnswer: -84295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1100100011011000001110 (base 2) to base 9\nAnswer: 6164814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -23*i**2 - 2*i + 9. Let u(p) = -12*p**2 - p + 4. Determine -2*r(c) + 5*u(c).\nAnswer: -14*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6210 is divided by 55.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.781 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 403160671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3 = -5. Suppose -12371157 = 2*t + 5028859. Let f be n*-1 - (-9 - t). What is f rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/((-160)\/(-84)) - 3. Let x = -74\/9 - -145\/18. Which is the third smallest value? (a) 0.2 (b) h (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 10 = x + 4*l, -2*x + 6 = -5*l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {d: 7, c: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/4))**21)**(-25\/4) assuming q is positive.\nAnswer: q**(525\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 29\/3, 36\/1271, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10122?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 276*v**2 - 16*v + 31. Suppose 0 = 16*g - 45*g + 58. Is k(g) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -926899264671?\nAnswer: -926899264670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**2*q**6 + 4*b**2 + 12*b*q**3 + 5*b*q**2 + 10*b - q**2 wrt q?\nAnswer: -360*b**2*q**3 + 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 8*c**2 - 1. Suppose -3 - 5 = 4*p. Let o = p + 0. Is a(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12057356?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 305 - 151 - 154 - 3*a. Let h(m) = -13*m**2. Determine p(h(t)).\nAnswer: 39*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1 + (-1 + 4 - 1)*(-1 - 1 + 0))*(-5*d + d - 2*d).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1053 and 1521?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 322509.7 centuries in months?\nAnswer: 387011640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = x + 3*x - 5*u, -5*x - 4*u - 28 = 0. Let f be -1 - x - (-4 + 3). Suppose 5*z = f*m - 73, -7*z + 3*z = -5*m + 89. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2245 divide 262524358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/3)\/((-11 - -10)\/507). Let x be (-4)\/(-10) - (-5)\/((-325)\/h). Solve -x*s + 4 = -4*t - 1, 2*s = -4*t + 10 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8582 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 35993903?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, p: 15}. What is prob of sequence pppp?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**3 - 885*z**2 - 6345*z + 924. Determine c(302).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 2*x - 3*x)*(3*x - 2*x + 0*x) - x**2 - 2 + 2 + (-5*x + 5*x + 5*x)*(-4*x + 0 + 0) + x**2 + 3*x**2 - 3*x**2.\nAnswer: -22*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1 (b) -0.2 (c) 4 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.54422 - -0.02798. Let l = v - 0.58. Round l to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59 and 2124.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven eighths of a micrometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -2\/5 (b) 1\/4 (c) -0.39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 - -5)\/12*2. What is the nearest to 0 in r, -1\/2, -0.1, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/8*(-12)\/3. Let b be (-4 - -4)\/(3\/t). Let a(z) = -z**3 + z**2 + z - 4. What is a(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32 take away -3617?\nAnswer: 3617.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2189*a**2 - 1376*a**2 + 86053*a**2.\nAnswer: 86866*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**5 - p**5 + 6*p**5 + (-3*p + 2*p + 2*p)*(p**4 - 2*p**4 + 2*p**4) + 5*p**5 - 9 + 9.\nAnswer: 13*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.04 + 1.14. Let g be ((-11)\/(-22))\/((-2)\/16). What is the nearest to i in 5, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 114 + -1?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59*p**3 + 59*p**3 - 26*p**4 + 11*p + 5*p wrt p.\nAnswer: -312*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 495*k - 120 = 471*k. Let z(m) = -m + 32. Let g(w) = w - 48. Determine k*g(d) + 7*z(d).\nAnswer: -2*d - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180821847?\nAnswer: 3, 60273949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o - 28. Suppose -32 = -18*m + 14*m. Let c be x(m). Solve 4*l - 2*v - 2*v = 0, -c*l + 5*v = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8854725*v**4 - 2746*v**2 - 148*v.\nAnswer: 212513400*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-99 - 152 + 39)*(1 + 1 - 5)*((2 + 3 - 3)*(-2*t + 5 - 5) + 0*t - 4*t + 2*t + t + 3*t + 0*t).\nAnswer: -1272*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 1164727940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 - -45. Let h = 73 + b. Suppose h + 44 = 2*z. What are the prime factors of z?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -3 - (22 + (9 - 17))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (466*h - 1012*h + 355*h + 11)*(-h + 0 + 0 + (1 - h - 1)*(1 + 0 + 1)) in the form g*h**2 + s*h + q and give s.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 430.9, -2\/7, 1\/5, 1\/2, 4, 15.2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 3614 = -9464. Suppose -12*v + h = -358. Calculate the highest common factor of v and 224.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2329, 4, -0.292, -0.5, 0.4.\nAnswer: -0.5, -0.292, 1\/2329, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 208, 215, 232, 265, 320, 403?\n\"Answer: f**3 - f**2 + 3*f + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 225, -0.187, 4, -1\/2 in ascending order.\nAnswer: -1\/2, -0.187, 4, 18, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*b - 8. Let d(w) = 7*w**2 + 2. Let t be d(b). Let c = t - 88\/3. Is 0 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 3476?\nAnswer: -2\/869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 4*d**2 + 2*d - 7. Let v be b(-5). Suppose 6 = 3*u - 3*f, -f + 3*f = u + 1. Suppose j - u*j + v = 0. Solve -j*i = -4*i + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75634 is divided by 25210.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4281463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**3 + 436*d**2 + 46003*d = 0 for d.\nAnswer: -257, -179, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14282435 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: Two letters picked without replacement from nnnbnbbnbnnbnbnbnnbb. What is prob of picking 2 b?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -456 - 390 = -181*w + 964 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**4*s + 36*j**4 - 2*j**2*s - 2*j*s + j - 102 wrt j.\nAnswer: 12*j**2*s + 432*j**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rqqqrqqqrrqrqrqqqrq. Give prob of picking 4 r.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00717112 to five dps.\nAnswer: 0.00717","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**3 - 1810*w + w**2 + 3276*w + 1748*w to t*w**3 + g*w + x*w**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -12*q - 8. Let r be u(-4). Let v be (-56)\/6*10\/r*-3. Let l(z) = -z**2 + 7*z - 8. Determine l(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 17580069 and -8.\nAnswer: 17580061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -171020640 by -84.\nAnswer: 2035960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -1 - k - 34700*k**2 - 5*k + 34701*k**2. Let j(i) = i**2 - 5*i. What is 4*j(d) - 3*t(d)?\nAnswer: d**2 - 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20013096?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18296\/1764693 - -2\/9337. Let l = 197\/756 - r. Let t = 53\/2 - 27. Is t greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -39 - -9?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -13*n - 73. Calculate the remainder when p(-11) is divided by 17 - -2*1\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1\/3, 5, -337 in descending order.\nAnswer: 5, 1\/3, 0.1, -337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 122 and 66002.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**3 + 3*u**3 - 3*u**3 + 1 + 4*u + 23*u to c*u**3 + i*u**2 + n + z*u and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 + 30 + -12)*20\/8.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 562 = 956. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**2\/2 - 164. Let p(k) = 4*k - 1. What is 3*l(c) - p(c)?\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1114004, 4456030, 10026074, 17824136, 27850216?\n\"Answer: 1114009*b**2 - b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r + 2. Let z(u) = -u - 1. Let g = -1 - -5. What is g*q(j) + 9*z(j)?\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.10932 - -1.83508. Let t = -2.257 + s. Let v = t - -0.31. What is v rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxee when four letters picked without replacement from xeeeeexeeeexeeexexe.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 17891*a - 3 - 19062*a as j*a + v and give j.\nAnswer: -1171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35929, 71856, 107783, 143710?\nAnswer: 179637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -11*f**3 - 14*f**2 - 35*f + 11. Calculate the remainder when l(-4) is divided by 53.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**3 + 25*v**2\/2 + 4*v + 74. Let n be w(-9). Solve -4*i - i + n = 2*q, -5*q + 3*i = 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**3 - 2*w**2 + 29*w + 32. What is x(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6300)\/(-21))\/20)\/(-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*d - 2*d + 2*d)*(2 + 4*d - 2 + 0*d + 3*d - 4*d + 0 - d + 0 + (-1 + 0 - 1)*(4*d - d - d) - 4*d + 2*d + d) to the form t + f*d**2 + u*d and give f.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-1\/12)\/x)\/x)\/x*x*x*x**7*x)\/(((x**11\/x)\/x*x)\/(x**(-2\/21)*x)) assuming x is positive.\nAnswer: x**(-61\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3098 take away 0.777?\nAnswer: 3097.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z + z + 0*z)*(0 + 0 + z) - 39*z**2 + 2 + 13*z**2 - 2*z**2 to o + y*z**2 + d*z and give y.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 60*r + 38. Let h(a) = 20*a + 13. Let n(b) = 14*h(b) - 5*i(b). Let m(y) = -13*y - 5. Suppose -31*p + p - 1040 = -160*p. Calculate p*m(z) - 5*n(z).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*a - 15. Let x be a\/(-2) - (-5)\/(-3). Are -3 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -88 - -101. Calculate the greatest common factor of a and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 11:57 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226 = -4*u + 62. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.946068322 to 0 decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/1083852 and 151\/1656.\nAnswer: 2167704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*2\/4*26\/6. Let x = -19\/3 - p. What is the smallest value in -1\/5, -3\/7, x?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*p**2 + 20*p**2 + 7*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-4 + -1) - 3 - -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 10*h - 25. Let w be n(-12). Let v = 6 + -2. Put -0.5, w, v in descending order.\nAnswer: v, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -21*n - 181. Suppose 21*c + 180 = c. Let x be y(c). Solve -3*z = -x*z - 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1234016 (base 8) in base 3?\nAnswer: 122101011210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25.8592 kilograms?\nAnswer: 25859.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(25\/6)\/((l*l*l**(-1\/4)*l*l)\/l*l)*l**(1\/21)\/(l**(3\/17)*l) assuming l is positive.\nAnswer: l**(-339\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 254 - 257. What is the third smallest value in 4, -84, i, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2291*u**2 - 2*u**3 - 2293*u**2 - 68*u**4 + u + 4*u**3 in the form a*u**3 + d + o*u**4 + c*u + r*u**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 773 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5645364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 4352000 to the nearest 100000.\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*s**4 + 121 - 121 - 9*s**2 wrt s?\nAnswer: -408*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 194 - -457. Suppose 4*g = -5*z + 351 + 306, 2*g = -5*z + u. What is the remainder when z is divided by 870\/40 - 2\/(-8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + w + 1)*(5*w - 5*w - 2*w) - 2*w**2 + w**2 - w**2 + 0*w**2 + 2*w**2 - w**2 + 5 - 5*w**2 - 5 - w + 2*w**2 + w.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2670 = 4*h, -t = t + 4. Suppose 0 = -3*d + 8*d - h. Suppose 6*a - 2*a = -2*z - 128, 2*z + a = -d. Are z and -68 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {d: 3, c: 13}.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -69*d**3*k**3 + 2*d**3*k**2 - d**3*k + 11*d**2*k**3 - 10617*k wrt k.\nAnswer: -414*d**3 + 66*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 561135*i - 1122251*i + 561147*i.\nAnswer: 31*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 2*b**2 - 77*b - 221. Calculate g(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-3) - 46)\/(-5 + 4). Let o be 6 - 1 - f\/9. Which is the biggest value? (a) 0.5 (b) -29 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4) + 98\/(-4). Let p be (2\/(-3))\/(2\/y). Calculate the highest common divisor of 64 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*d*s*z**2 - 2*d*s*z - 6875*d*s + 9*d + s*z**2 - 3030*s*z - 104*z**2 - z wrt d?\nAnswer: 6*s*z**2 - 2*s*z - 6875*s + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06308 + -30.26692. What is t rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 + 10*u**2 + 20*u + 31. What are the prime factors of o(-10)?\nAnswer: 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**2 - 3*i. Let l be 1 + 2 + (-3)\/3. Let m(b) = 4*b**2 - 4*b. Calculate l*m(o) - 3*k(o).\nAnswer: -o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, -60, -0.3, -1?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 139 - 139.4. What is the closest to -0.07 in 0.3, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 1909435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.53 times -421?\nAnswer: 2328.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.84865446 rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 6*s - 16. Let p be l(-8). Let g be p - (3 + -5 - 1). Solve 0*r - 6 = g*i - 5*r, 0 = i + 3*r + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/5349489 or 0?\nAnswer: -7\/5349489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in -0.2, 21\/2, 5, 3, 1\/3?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2, 7\/4, -0.03 in ascending order.\nAnswer: -2, -0.1, -0.03, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t - 2*t**3 + 2*t + (-4*t + 2*t + 4*t)*(3*t**2 - 25*t**2 + 3*t**2).\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12201 + 12201. What is the nearest to -2 in 5, 0.6, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - 15*s + s)*(3744*s + 1492 - 2973 + 5106*s + 1481) as a + v*s + g*s**2 and give g.\nAnswer: -106200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*16\/(96\/10)*(-3)\/(-6)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11661?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 55*z**3 - z**2 + 2*z + 2. What is c(-1)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -1 (b) 0.2 (c) 3 (d) 0 (e) -131\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18550592 and 256.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*((-3)\/(-2) + -1). Let g(s) be the first derivative of 73*s**4\/4 + 3*s - 316. Is g(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 53\/5 of a meter?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-5 + -9 + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(4\/2) + 4. Suppose t*f = 4*o - 4, 4*o - 10 = f + 2. Which is the closest to 0.1? (a) 0.1 (b) f (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -653 - -1090. Calculate the highest common divisor of 46 and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 5*c - 18 + 4, 0 = 3*c + 4*i. Suppose -7 = -o + 3*t - 3, -c*o = 3*t - 16. Solve -5*v + 2*v = -4*f - 3, -2*f = -o*v - 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 3*y**2 + 2*y + 0*y**2. Let c(x) = 2*x**2 + x. Let p be (4 - 3)\/((-2)\/(-6)). Let s be (-1)\/p + (-70)\/(-21). Give s*t(m) - 5*c(m).\nAnswer: 2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 5*s - 0 + 1134, -4*s = -4*k - 1480. Round k to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16154 and 591.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1455 divided by 1.\nAnswer: -1455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*m = -3*c + 20, 10 = 5*m + c. Solve m = -2*v + 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-714)\/21*-3*(14\/42)\/(-1)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/170*(-10)\/56?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 245617446 and 342?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17210 + -17211. What is the smallest value in -3, u, -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + h + 3*h + 21, h - 1 = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18015288*s**5 + s**4 - 189632093*s**2.\nAnswer: -1080917280*s**2 + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 234876 and 2664?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 27307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.5 and -1.5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 10 = -k, -66*k + 64*k + 2*h + 4 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - 27*q + 69 + 173 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/16 + ((-204)\/(-238))\/(16\/(-7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from immtttmtittttiittt. What is prob of sequence im?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/y**30)*y\/(y**(2\/109)*y)*(y\/(y\/(y**(-1\/15)\/y)))**43 assuming y is positive.\nAnswer: y**(-25972\/1635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 - -55. Let k be (3\/(-4))\/(27\/v). Let h = -0.11 - -0.01. Which is the closest to h? (a) -0.1 (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13899407?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3604 + -2522. Suppose 0 = 5*m + 2*f - z, 0 = -2*f - 2*f + 4. Let i = 2378\/11 - m. Sort -2, -1, i in decreasing order.\nAnswer: i, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*l**4 + 80*l**2 + 32*l**4 + 24*l**4 - 2*l**3 + 27*l**4 + 6*l**3 = 0. What is l?\nAnswer: -4, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**2\/4 + 5630853*n\/2 + 31706505507609\/4 = 0?\nAnswer: -5630853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 59.0131 milligrams?\nAnswer: 0.0000590131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 88*p**2*s**2 - 2*p**2*s + 107*p**2 wrt s.\nAnswer: 176*p**2*s - 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/32984 and 77\/969.\nAnswer: 1682184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**2*n**3*t**2 + 53*f**2*n*t**2 + 295*f**2*t**3 - 214*f*n**3*t**3 - 5*f*n**2*t - 66*f*t**2 wrt t?\nAnswer: 1770*f**2 - 1284*f*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) - (sqrt(396) - (sqrt(396) + sqrt(396)*1)))\/(sqrt(484) - sqrt(484)*2).\nAnswer: -6*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 9*h**2 - 12*h + 6. What is y(8)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/125*40\/(-16)*-219*4\/18?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 6057?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*f + 62 + 1550, -f - 2*j + 803 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1900101 and 19001010?\nAnswer: 19001010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*(sqrt(275) + 3) - (-5 + -2*(sqrt(11) - sqrt(99))*1))**2.\nAnswer: 2624*sqrt(11) + 19515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 19 = -5*u - 4, -5*u - 2*w = 18 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 6*g**7\/7 - g**3\/3 - 3. Find the third derivative of h(s) wrt s.\nAnswer: 720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/12 - -3)\/((-16)\/(-32))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 7.7.\nAnswer: 2.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/1 + -674)\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**2*g*(g\/(g**(-2\/17)*g))\/g*(g\/(g**(-28)\/g))\/(g*(g**27*g)\/g*g) assuming g is positive.\nAnswer: g**(53\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 2*d**2 - 5*d - 4. Let g be u(-3). Let f be 2\/4*(-4)\/(-2). What is the units digit of (f + -3)\/(g\/(-16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3100*t + 18588. Give x(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqtqgqqt. Give prob of sequence gq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 9*g**2 + 6*g - 8. Let n = 17 - 23. Does 17 divide t(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260*i**2 - 5759067 + 5759067.\nAnswer: 260*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-162)\/(-8) + (-15)\/(-20).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 17*t. Let s(v) = v**2 - 8*v - 4. Let r be s(-6). Let x(y) = 78*y**2 + 1 - r*y**2 - 1. Calculate o(x(c)).\nAnswer: -34*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-1)*w)**(-4\/29)\/(w*(w\/(((w*w**(2\/89))\/w)\/w*w))\/w*w*w*w*w**27) assuming w is positive.\nAnswer: w**(-80665\/2581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 10*d - 11. Let f be j(-10). Let l(b) = -b**3 - 11*b**2 - 2*b + 2. What are the prime factors of l(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2338 is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.56877644 to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 2*f + 8, 474 = -6*z - f + 448 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-104)\/(-56) - 6\/4*2\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36289602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 576 - 41. List the prime factors of s + (-8 - (-3 + (-2)\/2)).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 12:18 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 130 - 82 = 78, 0*x - j - 78 = 5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gi when two letters picked without replacement from ppppovgooovgpi.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (3 - (-2 + 3)) - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*y + 28, 5*y - 12 = x - 3*x. Suppose 5*n - y = 26. Let f(s) = 4*s + 2. What is the least common multiple of n and f(3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 125, 5, -49858 in decreasing order.\nAnswer: 125, 5, -49858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2002 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -13678, 1, -1, -3, -2 in ascending order.\nAnswer: -13678, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, k: 3, s: 2, v: 6}. What is prob of sequence vs?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 17*a**5 - 14*a**2 - 3*a - 3. Let r(h) = -18*h**5 - h**4 + 15*h**2 + 4*h + 4. Let b(q) = 4*g(q) + 3*r(q). Find the third derivative of b(d) wrt d.\nAnswer: 840*d**2 - 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-384)\/(-112)*7\/(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 19 (c) -1\/5 (d) 1.579339 (e) 1\/7 (f) -4 (g) 0\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**6\/24 + p**5\/30 + p**4\/24 + 2*p**2. Let h be n(-1). Let d be (-7)\/(-2) - (-2)\/h. Solve -d*o = -5*o + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*d**3 + 3*d**3 + 18*d**3 + 18*d**3.\nAnswer: -17*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201.1372 millennia to decades.\nAnswer: 20113.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((((u\/(u*u*u\/u**4*u))\/u*u)\/u)\/u))\/((u*u*u**(3\/5))\/u)*u**(-2\/21)*(u\/(u*u*u**5*u)*u)\/u*u assuming u is positive.\nAnswer: u**(-598\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -191 + 190.5. Which is the closest to -4? (a) 0.1 (b) 0.2 (c) u (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**3 - 127*f**2 + 41*f**2 + 41*f**2 - 5 - 7*f + 0*f + 43*f**2 in the form r + a*f**2 + n*f + v*f**3 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 - 2*s**2 - s + 1 + 3*s + 4*s. Let x(f) = -11*f**2 + 17*f + 4. Let i(o) = 8*m(o) - 3*x(o). Let q be i(4). Solve 4 + q = -2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -38 - -1ac?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 238 and 1022?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*o**2 - 5599*o - 5740 wrt o?\nAnswer: -4*o - 5599","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10895.246*4.\nAnswer: 43580.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8898 and 177960?\nAnswer: 177960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 934 is divided by 117?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365749345.\nAnswer: 5, 13, 73, 77081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 66667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 f, and 1 i when three letters picked without replacement from {i: 1, n: 1, m: 1, f: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -19*y**3 + 5*y**2 + 4. Let p be l(4). Let t = p - -1895. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -404, 0.5, 266, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 + 0*p**3 - 2*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and 2792?\nAnswer: 2792.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 68*c**2 + 969*c + 11. Give v(-23).\nAnswer: 1529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, 5, -42, -2 in ascending order.\nAnswer: -42, -2, 5, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-2\/9)\/q))\/q*q**(-3\/4))\/(q*q**25*q**(-30)*q*q) assuming q is positive.\nAnswer: q**(89\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 greater than or equal to -10\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2 + 2 + 6 - x. Let w = 0 - 5. What is the units digit of s(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3329900 to the nearest 10000.\nAnswer: 3330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(132) + sqrt(132) + sqrt(132))*-4)\/(4*sqrt(12)*-1) + ((-1*sqrt(110))\/sqrt(2))\/(sqrt(180)*-6))**2.\nAnswer: 130691\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -t**5\/60 - 5*t**4\/8 + t**3\/6 + 2*t**2. Is a(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.064 - 0.097. What is s rounded to three dps?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/68 - 150\/408.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-1412))\/((-99)\/22). Let x = 92153\/63540 - t. Calculate the common denominator of x and 101\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h**3 + 2*h**2 + 2. Let t be a(2). Let n = t + 67. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 11:34 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = j - 3*o, -28 + 33 = -5*j + 5*o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 96? (a) -5 (b) 2 (c) -1\/5 (d) 24\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -13*y**2 + 66*y - 9. Let d be k(5). Let a = 13 + -8. Suppose a*g = 3 - 8. Let c(w) = 1. Let q(m) = -2*m**2 - 2. Calculate d*c(r) + g*q(r).\nAnswer: 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**4 + u**4 + 0*u**4)*(2 - 7 + 2*u + 2).\nAnswer: -4*u**5 + 6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 0.5, -6, -502\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32758124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90 - 629\/7. Let p = 2 + -2.05. Let h = -0.05 - p. Which is the third biggest value? (a) 1\/10 (b) h (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 1 - 1 + 115*u**2 - 106*u**2. Let g(p) = -6*p**2 + 7. Let o(n) = n**2 - 1. Let t(z) = -2*g(z) - 14*o(z). What is t(s(i))?\nAnswer: -162*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -1\/10*z**5 - 8\/3*z**3 - 21 + 0*z**2 - 27*z + z**4. Let a(h) be the first derivative of v(h). Find c, given that a(c) = 0.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 8. Let x be 535\/107 + (-5)\/(-1). Let f(h) = -x*h - v + 2*h + 8. Let o(y) = 2*y. Determine f(o(d)).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 601631568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = w - 10. Suppose -70 = w*b - 3*p - 0*p, -2*b - 7 = 3*p. Let g(t) = t**2 + 8*t - 5. Let a be g(b). What is the greatest common divisor of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z\/(z*z**6*z)))\/(((z*z**(-1\/12))\/z)\/z))\/(z\/(z**9*z*z))**26 assuming z is positive.\nAnswer: z**(3241\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2392245031 to the power of 1\/2, to the nearest integer?\nAnswer: 48911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.8407 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (-3 - 0\/4). Suppose -6*i + i = y*g + 11, 3*g + 4*i = -9. Put -2, 5, g in decreasing order.\nAnswer: 5, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*g**3\/5 + 1954248*g**2\/5 - 31825319526*g - 63652202460.\nAnswer: -6*(g - 162855)**2*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*s = 30*s + 975. Let v = 199 - s. Let d(m) = m**2 - 5*m - 2. Determine d(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76261.\nAnswer: 76261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -144\/7. Let i = 1884 - 1882. Sort 2\/115, i, m.\nAnswer: 2\/115, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w + 10*w**3 + w**2 - 2*w**4 - 3 - 9*w**3 + 5 to k + z*w + x*w**4 + s*w**2 + q*w**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*k - 20264294 + 77535345 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15486 - 46453 + 2*s + 15481 + 15490 - 8*s.\nAnswer: -6*s + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 712390?\nAnswer: -1\/356195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 + 27*v + 4*v**2 + 6*v**3 - 50*v + 21*v as p + u*v**3 + w*v + h*v**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 60\/25*(-290)\/(-4). Suppose 0 = -3*o + a + 2*a + j, 3*o = 2*a + 176. Is o a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 5*v**2 - 9*v - 5. Let p be n(-6). Let f(g) = g. Let x(y) = -2*y - 15. Let l(h) = 4*f(h) + x(h). What is the units digit of l(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40456372 to the power of 1\/2, to the nearest integer?\nAnswer: 6361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 66014375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 - 14*m**3 + 33*m**3 - 18*m**3 + 9 as t + a*m**2 + w*m**3 + h*m and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**2 + 0*q**3 + 0*q + 0*q**4 - 10 - 1\/15*q**5. Let b(v) be the second derivative of t(v). Let r(k) = -k**2. Give b(r(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/11)\/y)\/y*y**(-2\/5)*(y\/(y*y\/(y**2*y)*y))\/y**0*(y**1)**(9\/13)\/(y**2*y**3\/y*y) assuming y is positive.\nAnswer: y**(-3951\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-6)*2*(-102)\/(-85)*20\/(-208)?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 100*z - 104.\nAnswer: 4*(z - 26)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -107 - -112. Suppose 3 = -d + 6. Suppose 5*g = 7 + 8. Solve g*y - 15 = -d*q, -4*q = s*y - q - 23 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 12*w + 9. Let u be ((-7)\/(-7))\/(2\/16). Let k(y) = -y**3 + 9*y**2 - 7*y + 4. Let h be k(u). Is 3 a factor of r(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 62*(-11)\/(-22) + (-2)\/2. Sort r, -4, -11 in decreasing order.\nAnswer: r, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -106 + 157. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004748352 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 175 and 800.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1316994 centuries in millennia?\nAnswer: 0.01316994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -109, -112, -101, -64, 11, 136, 323, 584?\n\"Answer: 2*y**3 - 5*y**2 - 2*y - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -58478 (b) -3 (c) -0.016 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/((b*b**(1\/4))\/b)*b)**(-24)*b**(-4)*b*b**(-1\/6))**(10\/13) assuming b is positive.\nAnswer: b**(-2075\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75797 + 2.\nAnswer: -75795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*k**2 + 20*k**2 + 22 - 24)*(19 + 470*k - 938*k + 466*k) as w*k**3 + s*k + y + z*k**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 1 - 2) + 6. Let r be 8\/(-6)*(-6)\/12. What is the closest to -1 in 1\/2, r, t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -2. Let s = r + 2.1. Which is the closest to 1\/3? (a) -1\/7 (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7072 + -7072.1. Which is the third smallest value? (a) 0.4 (b) 1\/7 (c) -3\/376 (d) -0.5 (e) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -632720, -632261, -631812, -631379, -630968, -630585, -630236, -629927?\nAnswer: -629664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -815, -1, -12, 128 in decreasing order.\nAnswer: 128, -1, -12, -815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -85*d - 194*d + 62*d**2 + 42 - 29*d**2 + 6*d**2.\nAnswer: 3*(d - 7)*(13*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6*((-2664)\/84)\/((-8)\/14)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-55 - (-163 + 103)) + (1 + -1 - -25)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-3)*(-18)\/(-12). Suppose -5*k - n = -8, 5*k + 0*n + 7 = 4*n. Sort k, l, 4.\nAnswer: l, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**4 + f**3 + f. Let w(q) = 17*q**5 - 6*q**4 - 4*q**3 + 20*q**2 - 4*q. Let p(t) = 4*l(t) + w(t). Find the third derivative of p(x) wrt x.\nAnswer: 1020*x**2 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 7*j + 10. What is the smallest common multiple of 6 and m(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 1, -0.4, 4, -2\/10051?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 5*q**2 - 10*q + 4. Let h be m(5). Let n = 343 - h. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0*z - 379 = -z, -5*v - 2*z + 383 = 0. Suppose 4*i - v = -i. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 91, 134, 175?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -4. Let i be (4\/(-10))\/((-3)\/(-15)). Let a be ((-8)\/(-3) - 4)\/i. What is the third smallest value in y, a, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 - 42. Suppose -2*f - v = -35. Let a(d) = -8*d + 1. Let i(r) = -15*r + 2. Calculate f*a(y) - 6*i(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*f = -368, -2*a + f = -4*f - 721. Suppose -b + 109 = -a. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*h - 20 = 39*h. Suppose 4*l - 5*z - 34 = 2*l, -z + 112 = 5*l. Solve -h*s = -i - l, 2*i + i - 14 = -s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*2*sqrt(1539))**2 + -5 + -1 + 3 + ((2 + sqrt(171))*5)**2.\nAnswer: 300*sqrt(19) + 53620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(1*(-69)\/115). Sort -2525, -4, q in descending order.\nAnswer: q, -4, -2525","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**4\/12 - 15*g**2. Let f(j) = 13*j**2 + 14*j**2 - 25*j**2. Calculate f(o(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 41?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1812 - -1788. Suppose -26 = -k + 2*k. Which is smaller: c or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2568 + 1053?\nAnswer: -1515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 k when four letters picked without replacement from kkmkkkkkmmkkkk.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 3 - 29\/(-7)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -3*c - 6, 3*c - l + 2*l = -9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 1. Let z be g(5). Suppose z = w - 3*w. Let s be (-2)\/5*(w + 1). Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 168053398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 8747597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1749?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 848564 - 848564. Let -3\/8*p**4 + m - 3\/2*p + 3\/8*p**2 + 3\/2*p**3 = 0. What is p?\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5aa65 (base 16) to base 13.\nAnswer: -100008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, 58, -19, 1, -1, -4.\nAnswer: -19, -4, -1, 1, 2, 7, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -13. Let l(q) = 9*q - 1. Let k be l(m). Suppose -k = -5*f + c, -5*f + c = 5*c - 18. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 12 = -5*x. Suppose 5*y + 5*a - 37 + 2 = 0, a = x. What is the first derivative of 5*m**4 + y*m**3 - 7 + 12 - 4*m**3 wrt m?\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z + 8. Let t be x(-15). Let h = t + 55. Solve -25 = i - 3*i - h*g, -2*g + 15 = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29042\/33 - 880. Is 0.2 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 9*f - 5. Let j be r(7). Let c = j + -7. Suppose -3*d = -a - c, 4*d - 8 = a - d. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 1 = 3*c + 18, 5*m - 4*c = 30. Find the second derivative of 108*v**2 - 34*v**m + 34*v - 53*v**2 - 55*v**2 wrt v.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, k: 4, b: 4, o: 6}. What is prob of picking 1 b, 1 o, and 1 k?\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (138\/4)\/(495\/17490) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/28*-1*1\/(-2). Which is the smallest value? (a) -1 (b) 4\/9 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 85 = -340. Calculate the remainder when 103 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4951 is divided by 1236?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - v + 3 = -3*q, -3*q - 9 = -2*v. Let u be 5\/(-2)*(-300)\/25. Calculate the highest common divisor of u and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0273132 rounded to 5 dps?\nAnswer: 0.02731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 127 - 23. Let m = 6 - 2. Suppose 4*t = -2*j + 3*t + 23, m*j - t = 55. What is the greatest common divisor of j and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 9*j - 17. Let b be r(-5). Solve b*u + 15 = 0, -24 = -0*h + 3*h + 3*u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (99\/(-132))\/(((-420)\/272)\/7).\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 1. Let h = 9887.5 + -9887. Which is the third biggest value? (a) n (b) -0.05 (c) h (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 467911 = -4*r + 5*r, 4*n = -14*r + 935738. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -295 (base 12) to base 7\nAnswer: -1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2483*r**2*s**2*z + 4*r**2*s*z + 7*r**2*s - 37720*r*s**2 + 2*r*z + 18*r - s**2*z wrt r.\nAnswer: -4966*s**2*z + 8*s*z + 14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, u: 1, y: 7, b: 1, h: 3}. Give prob of sequence zbhz.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 9. Let x be p(-6). What are the prime factors of x\/(-2)*(-152)\/(-6)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -141*k - 77*k + 63*k + 385*k to j*k + n and give j.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54841*t - 54825*t - 13 + 109642*t - 2.\nAnswer: -24*t - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u - u + u + 0*u - u + 0*u + (2*u - 3*u + 5*u)*(-2 - 2 + 2).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 - 57443078?\nAnswer: -57443077.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mdg when three letters picked without replacement from waggdmpgwmwd?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 352*t + 32. Let r(c) be the second derivative of -16*c**3\/3 - 3*c**2\/2 + 110*c. Let a(n) = -3*f(n) - 32*r(n). Let k(p) = 6*p**2. Calculate a(k(d)).\nAnswer: -192*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**3 + 0*o**3 - 2*o**3)*(-o + 0*o + 2*o) + 101*o**4 - 71*o**4 + 25*o**4.\nAnswer: 53*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and 0.2.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(90\/(-9) + 10). Let y be (2 - 1\/2)*-2. Let f be (-10)\/y - 4\/(-6). Solve h = -d - f - 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -13*q + 11. Let x be a(-4). Let v = x + -51. What is the greatest common divisor of v and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 824*u**2 - 14860*u + 504.\nAnswer: 4*(u - 18)*(206*u - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/49 - -1\/49. Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 50\/(-30) + 3\/2. Let k = -0.18 + -6.82. Put k, 3, b in increasing order.\nAnswer: k, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2203245 divided by 99.\nAnswer: -22255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -16, -27, -38, -49?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**4 + 1192192*h**3 - 38*h**2 - 22651588*h + 35765760 = 0 for h.\nAnswer: -596096, -5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 2. Let o(a) = -1. Let r(m) = m**3 - 4*m**2 - 3*m + 6. Let t be r(4). Let y(c) = t*o(c) + j(c). Let f(x) = 1. Calculate 4*f(z) - y(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -27. Suppose 2*o = 4*o + w - 4, k = -o + 3*w + 9. Suppose -87 = -o*i + 159. List the prime factors of i.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2 + 5 = 2*p, 0 = -5*p - 2*b + 12. Find the first derivative of 4*v + 0*v - 5*v + 5 - p*v wrt v.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 766444792.\nAnswer: 2, 47, 2038417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5939440050.\nAnswer: 2, 3, 5, 39596267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 88?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005958 to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41437 a multiple of 406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/5 + (-112)\/(-35). Suppose -4*g + 14 = -2*g + 4*x, 0 = k*g + x - 1. Is g not equal to -0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r\/((r*r*r*r**(2\/7)*r)\/r)*r)\/r))\/(r**2\/r))\/(r*r\/r**2*r*r**(5\/4)*r)*((r**(-2\/13)*r)\/(r\/r**(2\/7)*r))\/(r**5\/(r\/(r**(-6)\/r))) assuming r is positive.\nAnswer: r**(425\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**3 - 23*z**2 + 414. Let d be t(0). Solve -2*j - d + 420 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*v = 34*v + 2112. Solve v - 124 = 2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 49*w**2 - 56*w + 398. Determine h(48).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**3 - 5*h**2 - 4*h - 2. Let v = 11 - 9. Suppose 18 = -5*t + 3*y, 2*t = -v*t + y - 13. Is z(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 2:12 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x. Let o(p) be the second derivative of 1\/3*p**3 - 7\/12*p**4 + 32 - p + 0*p**2. What is o(k(t))?\nAnswer: -28*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 - 7*r**2 + 0*r**2 - 3*r**2 as w + q*r**2 + m*r and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -758 divided by -7886\nAnswer: 379\/3943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5, 10, -10, -2590 in ascending order.\nAnswer: -2590, -10, 6\/5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29078739.\nAnswer: 3, 23, 140477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**5\/7 - 6*m**4\/7 + 8*m**3\/7 + 24*m**2\/7 = 0?\nAnswer: -3, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*i + 7. Suppose -i*v + 7 = -61. What is the highest common divisor of v and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - 30.2. Let p = -258 - -260.5. Let w = f + p. What is the closest to 3 in -0.5, w, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 1387 = -377. Let i(c) = -j*c**2 + 129*c**2 + 127*c**2. Let o(s) = -6*s. What is o(i(v))?\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -1 + 0)\/(-1). Suppose -s + 81 = 3*s - b, 2*s + 5*b - 35 = p. Let g(a) = a**3 - 6*a**2 + 2*a. What is the lowest common multiple of g(6) and s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*f + 31 - 6 = 0, -4*u + 4*f = -28. Find the third derivative of -27*b**6 - u*b**6 + 12*b**2 + b**2 wrt b.\nAnswer: -3480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16 + 9)*(-12)\/(-60). What is the second smallest value in -4, t, 110, 13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -424 + 429. Solve -v = 3*r - 3*v - p, 5*v = r + 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**3 + 3*w**2 + 5. Let u(h) = -2*h**3 - h**2 - 2. Suppose -i - 2*i = -6. Let k(o) = i*r(o) + 5*u(o). Find the third derivative of k(z) wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 14*o**2 - 26*o + 37. What is z(12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 114557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*m + 5*m - 6*m)*(-1 + 1 - m)*(-2*m + 3 - 3).\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbkbbbbbkkkbkkbk. Give prob of picking 2 k and 2 b.\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.288079 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1580 and 1680?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**3 + y - 3. Let h = -4 - -3. Let f(l) = -l**3 + l - 1. Suppose 5*r + 5*p + 29 - 99 = 0, 3*r - 63 = 4*p. Let q = r - 16. Give h*n(b) + q*f(b).\nAnswer: 2*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.04927 centuries in months?\nAnswer: 111659.124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(304) + 5)**2.\nAnswer: 40*sqrt(19) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19094315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/1)\/(1767\/(-76)). Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30235976 is divided by 123?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 32 = 112. Let u(n) = 24*n - 36. Let m = -193 - -197. Let x be u(m). What is the highest common factor of x and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24348, -97433, -219248, -389793, -609068, -877073, -1193808?\nAnswer: -1559273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**5\/8 - 15*t**4\/8 - 12*t**3 + 27*t**2 + 162*t + 162 = 0. What is t?\nAnswer: -3, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/7))**(-6))**(2\/35) assuming k is positive.\nAnswer: k**(-108\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 4106711480?\nAnswer: 4106711480.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-5))\/(v\/(v\/(v*((v\/(v\/v**(5\/2)))\/v*v)\/v)))*v*v**(-10\/3)*v*v*v**(-9) assuming v is positive.\nAnswer: v**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 145 = -61. Suppose -539 - t = -4*v + 4*x, 0 = 4*x. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3550 and 14555.\nAnswer: 145550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4 + 0 - 4*v**2 - 2 - 3*v + 2 - v**3. Determine g(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 6*r - 2*r - 12, 5*q = r + 5. Suppose 0 = -4*g - 10 + 34. What is the derivative of -2*s + g + 5*s + q*s wrt s?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 318016?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least as big as 1668?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -408516 divided by 6.\nAnswer: -68086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6*y + 12. Let k be w(-2). Solve -5*j - 5*c = 3 + 7, j - c + 2 = k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/3)\/(22\/(-24)*(-146)\/803). Let i(o) = o**3 + 9*o**2 + 4*o + 8. Let l = 11 - 19. Let p be i(l). What is the greatest common divisor of p and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19 + 2*u**2 + 35 - 17*u - 48 + 12 with respect to u.\nAnswer: 4*u - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-3)*(-171)\/(-57).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - (11 + 14 + -3 + (-28 - (-18 + 5))).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1034044 - -3346?\nAnswer: -1030365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 0, -1\/3, 2\/7, 3\/8 in increasing order.\nAnswer: -1\/3, 0, 0.08, 2\/7, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + -0.1. Let c(f) = -2*f**2 - 9*f + 10. Let u be c(-7). Let h = u - -74\/3. Put p, h, 0.5 in decreasing order.\nAnswer: 0.5, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -33\/2 (b) 309 (c) -3 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(c**3 + 2*c**3 - 4*c**3) + (4*c - 2*c + 0*c)*(5*c**2 - 2*c**2 - c**2) + (c**2 + 0*c**2 + 0*c**2)*(13*c - c + 6*c).\nAnswer: 23*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*q + 39*q + 798 = -76*q for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-14 - (-17 + -15) - 55)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, y: 2, t: 7}. What is prob of sequence jjyj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1466799364 and 2?\nAnswer: 1466799366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q**2 + 11*q. Let p(m) = 28109*m - 2. Calculate p(g(w)).\nAnswer: -112436*w**2 + 309199*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -187445*o**3*y**3 + 2*o**3 - 3*o**2*y + 96*o*y + 3*y**2 wrt y?\nAnswer: -1124670*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(-18) + 0\/1883?\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -7. Let l = 2 - -2. Let h = 4 - l. Which is the nearest to h? (a) j (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5733 and 1233477?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*a + 4*x, -1242*a - 5*x = -1238*a + 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**7\/840 - r**5\/30 + 28*r**3\/3 + r**2 + 31*r. Let o(d) be the first derivative of b(d). Factor o(j).\nAnswer: j*(j - 2)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24 - 11560?\nAnswer: -11584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1645398, 1645397, 1645396?\n\"Answer: -z + 1645399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2034889 rounded to the nearest 10000?\nAnswer: 2030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 - 1)*(-4 - 3 + 0)*(-3 - 4 + 3)*(-15*m**2 + 14*m**2 + 3*m - 1 + 7*m**2) as o*m**2 + r + a*m and give a.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/9 - 32*x**3\/9 + 148*x**2\/9 - 208*x\/9 + 10.\nAnswer: 2*(x - 9)*(x - 5)*(x - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 2*c. Give f(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1544584, -1544587, -1544590?\n\"Answer: -3*y - 1544581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45176 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 4*d + 11. Determine v(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 304\/10 + (-110)\/275 and 95.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**1)**24*(x*x\/x**(-3\/4))\/x*x*x*x**3*x*x*x*x**3*x*x*x**(-2)\/x*x*x**(2\/3)*x*x\/(x**(4\/7)*x) assuming x is positive.\nAnswer: x**(1163\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 3. Let d = -286 + 330. Suppose d*u = 4*u + 440. What is the smallest common multiple of u and b?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 17*f + 3*l = -28, -4*l = 0. Suppose 3*m - 682 = 2*b, -3*m = -4*b + f*b - 687. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -5*q**4\/24 + q**3\/2 - 2*q**2 - 5. Let h(r) be the second derivative of w(r). What is the first derivative of h(v) wrt v?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 252982871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -z - 56, -6*z + 3*z - 278 = -5*h. What is the third derivative of -64 - 4*x**3 + 128 + 25*x**4 - 64 + h*x**2 wrt x?\nAnswer: 600*x - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - -31. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7287*s**2 - 355*s**2 - 808*s**2.\nAnswer: -8450*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 36a2 (base 11) in base 4?\nAnswer: 1023133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 395*a + 17 + 10 - 38 + 11 - 435*a**2 wrt a.\nAnswer: -870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29 in -3, -4.4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 13 = -9. Let v = -22 - i. Suppose -3*r + 69 = -v*r. What are the prime factors of r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - m = -5*j - 140, 3*j - 5*m + 116 = 0. Let c = j + 37. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/2 of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and -28453.02?\nAnswer: -569.0604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 497 and 426.\nAnswer: 2982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oxn when three letters picked without replacement from xkknnkkoxxnxxp.\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111696, 223412, 335126, 446832, 558524?\nAnswer: 670196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18820268570\/1067 - 17638494. Let g = -6\/97 - k. Factor -238\/11*u**4 + 98\/11*u**5 + 134\/11*u**3 - 32\/11*u + g*u**2 - 8\/11.\nAnswer: 2*(u - 1)**3*(7*u + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1399\/273 + 16\/39. Which is smaller: k or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39 + 2 - 2616*h + 37)*(-12 + 8 - 8) to i*h + y and give i.\nAnswer: 31392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.3 + 1.3. Let s = 19.2176702 - 5.6177234. Let d = o - s. Round d to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -314365 to the nearest one thousand.\nAnswer: -314000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + sqrt(847) + 1 + -2*sqrt(847)*-4 + -2)**2.\nAnswer: -792*sqrt(7) + 68623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, d: 13, k: 5}. What is prob of picking 2 d?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 706?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -5*a + 140, -a + 3*f = -2*f. What is the remainder when 74 is divided by a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40a94a (base 12) to base 6\nAnswer: 33422134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 310, 309, 310, 313?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 9*d**2 + 3*d + 6. Calculate g(-9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 - 61 = -2*f. Put 0.4, -2\/11, f, -0.2 in decreasing order.\nAnswer: 0.4, -2\/11, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*a - 3*n + 2*n, 3*a - n = 11. Let t(o) = -o**3 + 5*o**2 - o - 4. Let h be t(4). Suppose a*d - 2*d - h = 0. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250 = -25054*p + 25079*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 + 8 - (3 + 3 + -11) - -3) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(4\/3))**(-30) assuming d is positive.\nAnswer: d**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.87 + -4.87. Which is the second smallest value? (a) 183 (b) g (c) -4 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 1)*(567 + 588 - 1158 + 4*m**5 + 2*m**3 - m**2).\nAnswer: 4*m**5 + 2*m**3 - m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.7 - 2. Let a = -73 - -74. What is the third smallest value in a, -2\/5, m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64454213 to the nearest integer?\nAnswer: 8028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ljlrldlrhljldljldl. What is prob of picking 1 d, 2 r, and 1 h?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**2 + w. Let p be c(-1). Suppose 0 = -p*b + 5*b - 45. What is the remainder when 29 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -87*z + 349. Let k(i) = -59*i + 232. Let v(y) = -7*k(y) + 5*r(y). Is v(3) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16575677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/29120 and 71\/390000.\nAnswer: 10920000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 2*o - 2*o**3 + 0 + 2*o**4 - 4\/5*o**5 + o**2. Factor h(k).\nAnswer: -2*(2*k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*o + 51*o + 10*o**2)*(4*o - 2*o - o)*(-4 + 0 + 5)*(-2*o + o + 2*o).\nAnswer: 10*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2))\/((-144)\/(-24))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooyooooyoooyyoyyoo. Give prob of picking 4 o.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -717 by 3035.\nAnswer: -717\/3035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f**2 + 6*f - 2. Let y(o) = -4*o**2 + 6*o - 1. Let l(a) = 5*t(a) - 6*y(a). Suppose 3*j + 32 = -4*n, 0 = j + 4 - 0. Calculate l(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = -6*z + 14*z. Suppose -2*o = o + 9. What is the remainder when z is divided by o*(28\/(-6) - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*j**2*q**2 + 17710*j**2*q - 131*j*q**2 + 2*j - 2*q**2 + 374 wrt j.\nAnswer: -10*q**2 + 35420*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 248572571 + -422424900. Let r = i + 173852188.999913. Let s = 140 + r. Round s to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 + 0.5. Let t = 728\/33 + -64\/3. Which is greater: n or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64455346, -64455345, -64455344, -64455343, -64455342?\nAnswer: -64455341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 99, 136, 155, 150?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 12:30 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 + ((-37)\/(-74))\/((-1)\/(-10)) is divided by 65.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36276 divided by 9069.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from {m: 6, i: 2, o: 3, l: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*n*s - 20511176*n - 459664447*s wrt n?\nAnswer: 11*s - 20511176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 3273620 - 3273582 = 2*x + 4*o, -3*x - 2*x - 167 = -19*o for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/2 of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4532052324 + -5?\nAnswer: -4532052333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 2*i - 26, 4*i + 75 = 3*r + 55. Let j(c) = c**2 + 10*c - 2 - 2*c**2 - 9. Let s be j(r). What is the greatest common divisor of s and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y**3\/3 + 7*y**2\/2 + 22*y + 41. Let o be k(9). Suppose -o*m = -10*m + 660. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 84 = 3*i, -3*i - 190 = -4*t - 0*i - 130 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-8) + -2 + 980\/(-56).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1909*v**6 + 60*v**5 + 9451*v**2 + 4.\nAnswer: 229080*v**3 + 3600*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5063 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 - 6*l + 72. What is p(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w + 27. What is the remainder when c(0) is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 532064029?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4745155444 to the power of 1\/4, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6\/29 - 1409\/58. Let y = -24 - r. What is the third biggest value in -5, 4, y, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, m: 2, z: 1, f: 2, a: 1, r: 1}. What is prob of picking 1 r, 1 h, 1 f, and 1 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29391*w**2 + 26*w*x**2 - 7498*x**2 - 2*x + 6 with respect to w.\nAnswer: 58782*w + 26*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.049353 rounded to one dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6 = -2. Suppose -s + 8 = s + t, 16 = v*t. Suppose 5*u + 5*b - 190 = 0, -5*b = -s*u - 0*u + 90. Is u a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/26555 and 46\/1175.\nAnswer: 132775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1411 - 745. What is the greatest common factor of y and 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 637 + 17*c + 7*c**2 + 641 - 1920 + 643 to r + n*c**2 + h*c and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -1, -0.5, 5, -123368?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a**4*x + 323*a**4 + 81*a**3*x + a**3 + 22*a**2*x + 60*a**2 + 5*a*x - 3*a + 3*x wrt a.\nAnswer: 96*a*x + 7752*a + 486*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + sqrt(108).\nAnswer: 2 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-5))\/((-3)\/10). Suppose 0 = 35*h + 47*h - 7060 - 25166. Find the common denominator of (h\/(-4))\/(5 + n) and -65\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -8*u**2. Let n(t) = 2*t + 3. Give i(n(f)).\nAnswer: -32*f**2 - 96*f - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78 + 78. Is l less than -6\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 888, 892, 896, 900?\n\"Answer: 4*s + 884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 2. Let v(x) be the first derivative of 3*x**2 - 11*x - 2. Let h(k) = -22*a(k) - 4*v(k). What is h(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 217811 + 4.\nAnswer: 217815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1434)\/15 - (-2)\/(-5). Let v be ((-6)\/4)\/(36\/h). Solve v*n + 2*g = -0*g - 6, -3*n + 2*g - 8 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 632224 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*z + 38, 5*k + z - 46 = 4*z. Let j(l) = l**3 - 8*l**2 + 2. Let y be j(k). Let m(p) = 0*p**2 + 0*p**2 - p**2 + y + 3*p - 1. What is m(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1.088014 micrograms?\nAnswer: 0.000000000001088014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.361156s?\nAnswer: 361.156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, p: 2, f: 1, d: 4}. Give prob of picking 2 p and 1 m.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 78?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 35*k - 392. Give b(0).\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12171*a - 12188*a = -68 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-6)*(-10131)\/22 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 + 54*l**2 - 911*l - 302. Calculate z(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 1 - 7)*(10 - 10 - 2*g + (0*g - 2*g + 0*g)*(22 - 3 + 23) + 2*g - 3*g - g).\nAnswer: -1232*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 372 = r + h, 5*h = -448*r + 452*r - 1524. What is the remainder when r is divided by 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 8*f + 0 + 0*f**2 + 0*f**3 + 1\/6*f**4 - 1\/10*f**5. Determine j, given that c(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -11200?\nAnswer: -11211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**3 - 508*x**2 + 508*x**2.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9829827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152317945 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 839 a multiple of 565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 144091.63 to the nearest 1000.\nAnswer: 144000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27357294*j*x*y + 8*j + 762227*y with respect to x.\nAnswer: 27357294*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + 2 - 20 - 11*a**4 + 3 - 5*a as d*a**3 + p + j*a**4 + s*a**2 + n*a and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -33c87b (base 16) to base 6\nAnswer: -200423215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -15229180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -94, -423, -982, -1765, -2766, -3979, -5398, -7017?\n\"Answer: w**3 - 121*w**2 + 27*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 40. Which is the fourth smallest value? (a) x (b) 3 (c) 0.3 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**4\/(w*w**(1\/7)))\/(w*w\/(w*w**2*w)*w**(2\/5)))\/((w**0)**1)**(4\/17) assuming w is positive.\nAnswer: w**(156\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 103280*w**4 - 7*w**2 + 2*w - 1352399 wrt w?\nAnswer: 1239360*w**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0357711mg in grams?\nAnswer: 0.0000357711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -828?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 9*(-7 - (-1274 - -13))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjuy when four letters picked without replacement from ummmmymjymmu?\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 813461168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) + 2 + sqrt(2299))**2 + sqrt(2299) - (sqrt(19) - sqrt(171)\/sqrt(225) - sqrt(19))) + -1*sqrt(228)\/(sqrt(12)*4).\nAnswer: 1979*sqrt(19)\/20 + 9200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3)*(98 - 98 - 5*w).\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuguuuuuguuuug. Give prob of picking 3 g.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3e69 (base 16) in base 15?\nAnswer: 4b02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -9*q - 34. Determine b(-9).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 2*d + 63. What is the remainder when o(0) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*f + 1615, -2*i + 10 = -0*i. Let j = 1283 + f. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -7*q + 40. Let c be t(5). Solve -3 = c*j + 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*i - 24, 4*s + 17 - 61 = -2*i. What is the lowest common multiple of s and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00027754981 to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98980774.\nAnswer: 2, 49490387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in -8, -1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37 - 18 - 19 - 35*c to i*c + w and give i.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8793673961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hljjxdj. Give prob of picking 3 j and 1 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -105*s + 906. Give k(14).\nAnswer: -564","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 14*o**2 - 2*o + 28. Let p(q) = q + 4. Let l be p(-18). Let c be l\/(-4)*8\/2. Let i be y(c). Do 2 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10429 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 169550268 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.2 + -1.2. Let j = -2 + y. Let v = 0.2 - 1.2. Which is the closest to v? (a) j (b) -1\/5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 182 by 6.\nAnswer: 91\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9155933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + b + 2. Let t be p(3). Let v = t + 12. Let u be v\/(-14) - (-20)\/35. Solve -x - x + 6 = u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -319*a - 163*a**5 + 42401*a**4 - 42401*a**4 wrt a.\nAnswer: -3260*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*h**2 - 43*h + 43*h)*((0 - 2 + 1)*(h + 2*h - 4*h) - 3*h + 2*h + 2*h) to s*h**2 + t + p*h + i*h**3 and give i.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + m = -2*h - 22 - 12, 1387 = -199*m - 56*h + 58*h for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 13*i**2 + 86*i - 22. Calculate q(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 9*u**2 - 9*u - 10. Let w be a(-10). Let t be w\/(-30)*(-34685)\/4. Let n = t + 5801. Calculate the common denominator of n and 53\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 190.6 - 43.6. Let u = s + -146. What is the third smallest value in 5, -3\/10, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 - 31*t + 41*t**3 - t**2 + 31*t.\nAnswer: 41*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26434138583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3+0.0088\nAnswer: -2.9912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3233767.\nAnswer: 3233767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 5*d**2 - 5. Let z = 76 + -43. Suppose 679*b - 1120 = 639*b. Let c = b - z. Let j(r) = 4*r**3 + 16*r**2 - 16. Determine c*j(k) + 16*a(k).\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -3\/7*q**2 + 2 + 1\/7*q**4 - 9\/14*q**3 + 81\/140*q**5 - 2\/7*q**6 + 54*q. Determine r so that s(r) = 0.\nAnswer: -2\/5, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1\/75 (b) -102 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 v when two letters picked without replacement from mgvvmmvmmggvm?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 3*i**2 + 6*i + 1. Let z be g(-5). Suppose z = 2*n - 51. Suppose 0 = 5*v - 0*v - 270. What is the greatest common divisor of v and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92 and 3184.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 50 = 3*v - 65, a + 1 = v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 135*m. Let v(a) = -145*a - 151*a - 162*a + 452*a. Calculate b(v(x)).\nAnswer: 36*x**2 + 810*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 138*u. Let g(s) = 6*s**2 + 1. Calculate g(r(x)).\nAnswer: 114264*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7757 is divided by 1549.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 426\/449 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -5129.\nAnswer: -1\/5129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8472 - 7017. Solve 10*w - 1525 + b = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -18 - 10) + 7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1745 + 277*x - 13*x**3 - 142*x - 1745 - 135*x.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31519177 to the power of 1\/4, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -64*k + 131. Determine j(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 9516 = 2728. Calculate the remainder when v is divided by 217.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -11434*a**3 - 12*a - 23. Is y(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-2)*3\/(-3))\/(3363\/(-118))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, c: 6}. Give prob of picking 2 c.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, t: 5}. Give prob of picking 2 s and 2 t.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2) - (-561)\/22. Solve -5*a = -d, -7*a + 25 = -5*z - 2*a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100111100110110001100000 (base 2) in base 11?\nAnswer: 5951525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5685.\nAnswer: 3, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*c + 209*c + 30 = 0. Suppose 7436 - 21176 = 3*f. Is 2\/c - f\/12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.1, 5, -10\/7.\nAnswer: -10\/7, 4.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23987179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -16*c + 14. Let x(i) = 1. Let r(t) = -5*x(t) - z(t). Let u(a) = -5*a + 6. Give -2*r(k) - 7*u(k).\nAnswer: 3*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -155 or -151?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 6*b - 2)*(7*b + 4 + 33*b - 19*b) in the form s*b**2 + w + v*b and give v.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, a: 1, v: 9, d: 7}. Give prob of sequence dba.\nAnswer: 7\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**5\/60 - 11*c**4\/24 + c**3 - 15*c**2 - 3*c - 1. Determine q(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23\/162 - 2\/81. Which is the nearest to 0.2? (a) 2 (b) -1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 601 = 2484. Let r = n + 468. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.98 + 1.1. Let r = -4.88 - l. What is the biggest value in 0, 4, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, 1\/5, 9584, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*l + 77*l = 61*l - 124*l + 29360 for l.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5591 + -1.\nAnswer: 5590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 15) to base 13.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 0 + b**2 - 5\/3*b**3 + 3\/8*b**4 - 6*b. Factor h(x).\nAnswer: (x - 2)*(9*x - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7218842ng in milligrams?\nAnswer: 0.0000007218842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 10*h**2 + 4*h. Let d(f) = 27*f**2 + 10*f - 1. Let z(s) = -8*c(s) + 3*d(s). Let l = 0 - 2. What is z(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1931633 is divided by 1228.\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*u = -156*u + 3. Put -5, 1, u in descending order.\nAnswer: 1, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38272501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-10)\/(-2) - (-11)\/33*-3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - o + 1 = 5, -2*o + 5 = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**3\/7 - 2*a**2 - 11306*a\/7 - 41830 = 0.\nAnswer: -47, -35, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5099.321 + 3.679. Is -0.1 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 + 24. Let d(h) = 4*h**2 + 6*h - 11. Is d(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18888449 divided by 3?\nAnswer: 18888449\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0507 take away -3016135113?\nAnswer: 3016135113.0507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + -2. Let f be (-11)\/(-15) + (-3)\/9. Put 1\/3, f, u in increasing order.\nAnswer: u, 1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 249, 103, -295, -1071, -2351?\nAnswer: -4261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*m + 192, w - 3*m + 92 = 3*w. What is the common denominator of -17\/7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 75*b**2 - 58*b + 197. What is the tens digit of o(-75)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**2 - 11*b - 13. Let y be x(5). Solve y*i + 27 = -1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*q + 2138 - 2140, -q + 8 = o. Let p(x) = -2*x**2 + 7*x + 1. Let c be p(5). Put c, -1, 0, o in ascending order.\nAnswer: c, -1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 1. Suppose s - 34 = -5*d. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 + 93 + q**3 + 49 - 3*q**3.\nAnswer: -q**3 + 142","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 1:38 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven eighths of a hour?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, r: 3, o: 7, y: 2, d: 2, j: 1}. What is prob of sequence oerj?\nAnswer: 7\/8160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4255.\nAnswer: 5, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**6\/50 + 9*g**5\/50 + 9*g**4\/20 + 4*g. Suppose n(v) = 0. What is v?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -12*f - 14 - 22 + 44 + f**2. Suppose 0 = -4*u + 4, -6*t - 70 = -2*t - 2*u. Let v(x) = -3*x**2 + 35*x - 22. Let k(q) = t*m(q) - 6*v(q). What is k(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1995)\/855)\/((-14)\/114)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00188530146 to seven dps.\nAnswer: 0.0018853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z**3 + 139*z**2 - 77*z - 97. Determine b(34).\nAnswer: 753","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g - 8. Let p be a(6). Suppose p = -n - n - 5*f, -4*n = -4*f - 24. Suppose 15 = 5*q + 3*z - n*z, 9 = 2*q + z. Solve -t = q*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a. Let d(c) = 40656*c**2. Calculate g(d(w)).\nAnswer: -121968*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 1)*(-2*m**3 + 6*m**3 + 0*m**3 + (0*m + m + 0*m)*(m**2 + 5*m**2 - 3*m**2)) in the form f + d*m**3 + x*m + y*m**2 and give d.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1960 and 840.\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 4:40 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-18) - 140\/(-315)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 - 5*n - 5*n**3 + 14*n**4 + 7*n**4 + 23*n - 20*n**4 to f*n + h + z*n**3 + w*n**2 + c*n**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1 - (-33 - (15 - 27 - 21))) + -14?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (-18 - -29) - (5 + 5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {i: 2, a: 10}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -181176, -362362, -543548, -724734, -905920?\nAnswer: -1087106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 52\/2 + 68\/17. Let y = 116 + c. Suppose 4*g - y + 30 = 0. List the prime factors of g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 1555*h + 22. Let k(r) = 1553*r + 33. Let y(a) = -2*k(a) + 3*v(a). Let n(l) = 2*l. Give n(y(z)).\nAnswer: 3118*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91473117.\nAnswer: 3, 179, 170341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7*q. Suppose 0 = 2*f - 65 + 11. Let b = f - 22. Let l(p) = 0*p**2 - 3*p**2 - 3*p**2 + b*p**2. Give l(u(d)).\nAnswer: -49*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b. Let y be 0\/(2\/(8\/8)). Let s(j) be the third derivative of 0*j - 1\/24*j**4 + 5*j**2 + 0*j**3 + y. Give m(s(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 368492 and 1381845?\nAnswer: 5527380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 + 111. Let m(j) = 12*j**2. Determine v(m(o)).\nAnswer: -288*o**4 + 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*3\/6*8. Let y = -4 - -6. Factor -3*w**q - w**5 + w - 2*w**y + 0*w**4 + 5*w**4.\nAnswer: -w*(w - 1)**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4023390 (base 11) to base 9\nAnswer: 14351700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 bigger than -7204\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = r - 3, 5*n - 14 + 4 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1828395857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s**2\/5 - 112*s\/5 + 24\/5 = 0. Calculate s.\nAnswer: 2\/9, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 0*p**3 + 0*p - 1\/15*p**5 + 1 - 1\/12*p**4 + 0*p**2. Factor j(f).\nAnswer: -f**3*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.3 (b) 285 (c) -1.4 (d) -0.4 (e) -3 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 7 - 5 = 0. Is s*2\/2*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3 = z, 4 = -3*z - w + 38. Let k = z + -13. Suppose 5*j + 3 - 23 = k. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2071)\/1090)\/(2\/(-40))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3753 (base 13) in base 5?\nAnswer: -222332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -28. Suppose -5*d = -5, 0 = u*n - d - d - 73. Suppose 5*x = n, b = 2*x + 32 + 3. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3254.\nAnswer: 2, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.66 + -30046\nAnswer: -30044.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10940*o - 10924*o - 368 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1473 + -13312\/9. Find the common denominator of -50\/13 and u.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 0*j - 3*j**2 - 1\/15*j**3 + 1\/150*j**5 + 0 + 0*j**4. Factor y(f).\nAnswer: 2*(f - 1)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 22*y + 79. Give d(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**3\/6 - 5*j**2\/2 - 78*j. Let s(v) be the first derivative of -2*v**3\/3 + 2. Calculate s(n(c)).\nAnswer: -2*c**2 - 20*c - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, w: 2, u: 1}. Give prob of picking 1 w and 1 p.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-1 + -12 + -15 + 20).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {h: 12, f: 3, x: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 115 = -c - 4*c, 3*k = c - 77. Let b be (2\/8 - 0) + k\/100. Suppose b = -q + 2 + 4. What is the least common multiple of q and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -166650046 and -0.3.\nAnswer: 49995013.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*(sqrt(405) + -2 + 4 + 1))**2 + 2.\nAnswer: -2068 - 270*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 0.243?\nAnswer: -4.243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k**4*k)\/k)\/k)\/k*k\/(k\/(k\/k**(-8)))*k*k)\/(k\/((k**(-2\/5)\/k)\/k))**46)\/(k**(-3\/11)*k\/(k**3*k))**(-2\/39) assuming k is positive.\nAnswer: k**(-102651\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 617*k**2. Let h(t) = -2*t**2. Determine l(h(v)).\nAnswer: 2468*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 13*l + 16. Let w be y(11). Let n be 5\/(5\/3) - -1. Is ((-44)\/w)\/(n\/114) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -11648509.\nAnswer: 11648508.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 4\/5*l**5 + 0 + 0*l**2 + 95*l + 17\/12*l**4 + 0*l**3 - 1\/30*l**6. Find u, given that c(u) = 0.\nAnswer: -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 593\/5 - 119. Let m = 26 + -25.7. Which is the closest to 1\/2? (a) d (b) 1\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 52805101 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**2\/9 + 83746*w\/9 = 0. What is w?\nAnswer: 0, 41873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 3)*(-2 - 6*g + 2) + g - 475 + 259 + 240 - 4*g.\nAnswer: -33*g + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-10\/7)*h*h\/(h**(-1\/5)\/h))**(-20))**(-7\/4) assuming h is positive.\nAnswer: h**97","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6 - (560\/147)\/5) + 0.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**4 + 784*q**3 - 13708*q**2 - 29752*q - 15264 = 0. What is q?\nAnswer: -212, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 8:12 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/5 + 65218*h**3\/5 + 1063346881*h**2\/5.\nAnswer: h**2*(h + 32609)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3507632461?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -9*w**3 - 24*w + 309. Differentiate g(o) wrt o.\nAnswer: -54*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 125 - 3. Find the first derivative of -8 + 27 + 100*o**3 - w*o**3 wrt o.\nAnswer: -66*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11858 < -23871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -1.6 (b) -0.4 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 735.18nm?\nAnswer: 0.73518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157656719 is divided by 4485?\nAnswer: 4484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 6 - -7) + -5 - -9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -2, 0.112, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(2 + (-4)\/1). Let h = 704 + -703.9. Which is the smallest value? (a) h (b) g (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5900 + 5904 + (1*-2)\/(((-7)\/(-4))\/7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 v, and 1 s when four letters picked without replacement from {s: 2, v: 5, h: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*m = -i, -36 = -5*i - 4*m. Let n = -3123 + 3124. Sort -1, i, -18, n.\nAnswer: -18, -1, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18069431.\nAnswer: 37, 67, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 8*w**2 + 8*w + 9. Let i be r(-7). What is the units digit of (i\/3)\/(-2)*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20\/31? (a) -1\/6 (b) -1.06 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130461.\nAnswer: 3, 43487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2918 is divided by 296.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 241344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 16*p**3 + 5*p - 5 - 4 - 8*p**3 - 12 - 9*p**3 + 6*p**2. Determine c(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 6:46 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16678 or -16676?\nAnswer: -16678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 19 = -4*o - 3*r, -4*o = 5*r + 9. Find v such that 2*v**o - 5*v**3 - 2*v**5 + v**5 + 4*v**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -5*g + 4. Let c = 106203\/16 + -6642. Calculate the common denominator of ((-75)\/24)\/(g\/(-8)) and c.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10110011011001000010110 (base 2) to base 5\nAnswer: -3001101134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 40 = -128. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/((-3)\/(6\/(-4))). Let v be ((8\/(-57))\/(-4))\/(13\/(-78)). Is v at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -6*h**2 + 23*h**2 - 12*h**2 - 3*h**2. Let i(j) = -73*j**2. Calculate m(i(t)).\nAnswer: 10658*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -5*h**2. Let v(s) = s**3 - 11*s**2 - 24*s + 3. Let k be v(-2). Give i(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 234288?\nAnswer: 234288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0*(-3)\/(-18))\/(2 + -5). Solve -11*a + 9*a - 8 = p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 14*x**2 + 0*x - 21\/20*x**5 + 0*x**4 + 0*x**3 + 0. Let d(n) = 15 - n - 15. Determine c(d(w)).\nAnswer: -63*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -c - c + c + (0 + 1 - 3)*(1 + c - 1) + ((3 + 10*c - 3)*(-2 + 4 + 0) + 6*c + 6 - 6 - c + 4*c - c)*(0 - 2 + 0) in the form u + o*c and give o.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 296\/37*((-5)\/(-4))\/(-5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -151661868*w**4 + 74735361?\nAnswer: -606647472*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + x**2 + 9*x + 9. Let y be a(-1). Suppose -2*u + 3*u - 50 = y*k, 0 = 4*u - 5*k - 188. Put 5, u, 3, 1 in decreasing order.\nAnswer: u, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*c = -221*c + 86*c - 18*c - 10505 for c.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.533253 - 0.033253. Let m = -6 - -10. Suppose 0 = y + 5*v + 24, -3*y - v - 4*v = 32. Which is the nearest to -1? (a) x (b) m (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.135607 milliseconds to days.\nAnswer: 0.0000001636065625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - -171. Let o = u - 270. Let j = -92 - o. Which is the closest to j? (a) -4 (b) -5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*0.157.\nAnswer: 0.00471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000065361029 to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1306 is divided by 119.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 701 + -84. Suppose 13*c - 1839 + r = 0. Calculate the least common multiple of c and 4.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v. Suppose 5*n + 14 = -2*p, -4*p - 4*n - 8 = n. Let u(o) be the third derivative of 0*o**p + 0*o + 1\/60*o**5 + 0*o**4 + 0 + 4*o**2. Give x(u(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*t - 5*l, -5*t + 5*l = l + 6. Let f(j) = -j**3 - 3*j**2 + 4*j + 3. Let q be f(-3). List the prime factors of ((-4)\/1)\/(t\/q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 12, k: 7}. Give prob of picking 2 k and 2 s.\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 785?\nAnswer: -78.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k - 1. Let a(r) = 3*r**2 - 5*r + 3. Let i be a(4). Let h = i - 34. Give w(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40 + 75. Let t = b + -33. Solve -2*r - t = 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 11*m + 14. What are the prime factors of t(6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -4*t + 5*z, 5*z + 10 = -18*t + 13*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25105\/12 - 2096. Find the common denominator of -5 - 201\/(-18) - -1 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 7, 41, 109, 223?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4375)\/7*1600*30. Round q to the nearest 1000000.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/(3*10\/18).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2970*o + 1711*o - 5953*o - 2559*o.\nAnswer: -9771*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 3*j + 8 = 0, o + 2 = -3*j + 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 718 + -715. Solve -z*n - 10 = -p + 9, -4*p + 31 = -3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/(-28) - (-11)\/(231\/2448). Suppose -z*u + 440 = -120*u. Round u to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4424 = 30*h - 4784 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*w - 513 - 2449 = 2836 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -0.9, -0.08, -5\/2 in decreasing order.\nAnswer: -0.08, -2\/7, -0.9, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (21 - -3) + (4 - (-1 + -3) - -1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, 115, 78, 35, -8, -45, -70, -77?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 5*w - 9 = 0, -w + 3*w = -2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(135)\/(-5*sqrt(3)*1).\nAnswer: -3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ol when two letters picked without replacement from feffgefqfflgofffff.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 387.6636 microseconds?\nAnswer: 0.00000646106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g + 10. What is n(17)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 10. Suppose 9 = -n*b + 33. Solve -3*t = -7*t - b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15859203053 and -4790.\nAnswer: 15859198263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c - 5. What is v(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 11 - 15 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w - 92 = -107*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**4\/4 + 11*w**3\/3 - 13*w**2\/2 - 14*w + 44. List the prime factors of f(-9).\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 45*k - 3. Let j be d(4). Let s = -1949\/11 + j. Which is the third biggest value? (a) s (b) 3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 2\/5, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 4*q + 1902 - 1906, -x + 3*q + 0 = 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 8 = 5*v - 4*v, -4*v - 24 = 2*t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 61615338*o + 29055663?\nAnswer: 61615338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a + 68. Let u be n(-22). Suppose 4*m - b - 6 = -u, -4*b - 16 = 4*m. Solve -2*d - 8 = 5*f, m*d + 5*f = 5*d + 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*k - 1, 0*h + h = -5*k - 19. Which is the biggest value? (a) 0 (b) -2\/5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 320*s**4 - 80*s**3 - 900*s**2 + 945*s - 270.\nAnswer: 5*(s + 2)*(4*s - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((0 + 0 + sqrt(2000) + (sqrt(2000) + 1)*-3)**2 + 5)*-2 + 1.\nAnswer: -16027 - 480*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**6\/30 + 4*w**5\/5 + 7*w**4\/2 + 20*w**3\/3 + 3*w**2 + 5*w. Solve o(y) = 0 for y.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 + 5*y + 1. Suppose 71 = 13*c - 137. Suppose 13*j + c = 9*j. Give f(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -g**5\/20 + 11*g**4\/6 + 3*g**2\/2 - 15*g. Let i be l(22). Solve -f - 1 = -4*m + 3, -4*f = i*m + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6423846.\nAnswer: 2, 3, 11, 13, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9366.96*32.\nAnswer: 299742.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z*z*z**0\/z*z)))**(-2\/79)\/(z\/z**(1\/2))**(-3)*z**7*z*z\/(z\/(z*z*(z\/z**(2\/7))\/z*z))*(z**(1\/4)\/z)**23 assuming z is positive.\nAnswer: z**(-11307\/2212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.5 (b) -1\/9 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/2)\/a)**50)**(-50)*((a**6\/a*a)\/a*a**(-3))**(18\/5) assuming a is positive.\nAnswer: a**(18786\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 4:57 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t**3 + 2\/9*t**5 + 2\/3*t**4 - 8\/9*t**2 + 0 + 0*t = 0. What is t?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169858 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*z = 99*z + 4*a + 24, 18 = z - 4*a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - (-1 - 204\/(-40)). Let v = -0.0512 + -0.0088. Which is the nearest to v? (a) 4 (b) r (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -2)*(30\/(-18) - -2). Let t be (-32)\/(-8) + 13\/(-3). Which is the nearest to -0.1? (a) -3\/5 (b) t (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = t + 12, -7*t = -3*t + 3*a + 22. Let u = 0.017 + -5.017. Sort 0.4, t, u.\nAnswer: u, t, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(18\/27*12\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 4*o + 6. Let i = 33 + -29. Let y be 25\/i - (-7)\/(-28). Calculate g(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 2. Suppose 3*t - 12 = -v*g, 7*g - 8 = 2*g - 2*t. Factor g + 1\/2*m**2 - m.\nAnswer: m*(m - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 117 - 70. Which is bigger: 49 or u?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390148 is divided by 97537?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 4:09 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20, 10, 56, 124, 220?\n\"Answer: c**3 + 2*c**2 + 17*c - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k. Let h(m) = 20*m. What is -h(j) + 10*l(j)?\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 1. Let b(s) be the second derivative of -s**5\/20 - 7*s**4\/12 + 5*s**2\/2 + s. Give -b(c) + 5*v(c).\nAnswer: c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -89.62 (b) 6 (c) -5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/14*3\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((585\/(-30))\/((-128)\/(-64)))\/(3\/(-4))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 5:27 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.5 (b) -4.9 (c) -70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/413 and 35\/18475083.\nAnswer: 129325581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -129.073 - -0.073. Let g = l - -127.34. What is g rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 12116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 23 + 8 = 0. Let k be -2*(h\/6 + 3). Let f = 6 + k. What is the highest common divisor of f and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172 greater than or equal to 7478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -350732 + 5?\nAnswer: -350728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 14*u**3 + 39*u + 125. Let z(d) = 5*d**3 + 13*d + 48. Determine 3*s(c) - 8*z(c).\nAnswer: 2*c**3 + 13*c - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-2)\/2))\/(312\/2184).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/7)\/n**(1\/6))\/((n**(-3)*n)\/n**5) assuming n is positive.\nAnswer: n**(311\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1876246 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 752234 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -192 - 0.074.\nAnswer: -192.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64242 and 95546?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 4*h - 17. Let u be 4\/(-14) - 3*290\/(-105). Let n be b(u). Suppose -2*i = -41 + n. Calculate the highest common factor of 13 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 3*v**2 + 3*v**2)*(-2*v**2 + 2*v**2 - v**3) + (-3*v**2 - 2*v**2 + 6*v**2)*(-v**2 + 2*v**3 + v**2).\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -101001011110001 (base 2) to base 3\nAnswer: -1002010102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 13. Let k be g(13). Suppose 2*x = 3*x - 5. Suppose k = -2*c - 3*u + 1172, c - x*u = -2*u + 568. What is c rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-119 - -112) + (6 - -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4720 by -1522.\nAnswer: 2360\/761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 + (1 - (-1 + -1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -8*i**3 + 29*i**2 + 18*i + 17. Let t(q) = 10*q**2 - 2 + 6*q + 7 - 3*q**3 + 1. Let f(o) = 4*h(o) - 11*t(o). What is the units digit of f(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28151*m**3 - 79613?\nAnswer: 84453*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1216) + 3) + sqrt(1216) - (-5*sqrt(1216)*1 + sqrt(1216)))**2.\nAnswer: 288*sqrt(19) + 1540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11183363?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 4. Suppose -x*d - 45 = 2*g, -3*d + 10 = -2*g - d. What is the remainder when 48\/g*15\/(-2) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*z - 3*m, -5*z - 3 = -4*m + 2*m. Solve g - z = -2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9, -3, -5, 2.\nAnswer: -9, -5, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99028 + 6*k**2 + 99028.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -1 + -3 + 4 - (174 + -179) - -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 + 11 - 2 - 9)*(7*v - 16*v + 14*v) to i + h*v and give h.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.247822651 rounded to five dps?\nAnswer: 0.24782","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8093 + (-9)\/((-117)\/65)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p + 5. Let h be z(4). Let o(m) = 58*m**2 - 6*m + 1. Is o(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.003 - 0.003. Which is the closest to 0? (a) -0.3 (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 342347104 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 46763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/2*(-11)\/((-44)\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 7 + -15 + (2 - -2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56044 and 16572.\nAnswer: 232190292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3536763, -3536768, -3536769, -3536766, -3536759, -3536748, -3536733?\nAnswer: -3536714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11401151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, i: 2, o: 6, b: 4}. Give prob of picking 1 i and 3 b.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 291077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -6. Let y be 2\/(2\/3*r). Let q be (y\/9)\/((-4)\/24). Let i(h) = h**3 + h**2 - 1. Let p(u) = u**3 + 2*u**2 - 2. Determine q*i(a) + p(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 15, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffmofffbfbooobvf. What is prob of sequence bbvf?\nAnswer: 1\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*h**4*v**2 - 10*h**4 - 30*h**2 + 3*h*v**2 wrt h?\nAnswer: -288*h*v**2 - 240*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5013 = -2*b, 7*b - 8*b - 6684 = -4*j. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9838786?\nAnswer: 2, 4919393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3 = i - 4, -5 = i + 3*f. Solve -3*x - 8 = -5*l + 27, -x + 11 = i*l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 379344 by 12.\nAnswer: 31612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 + 6*q**2 - 4*q**2)*((2 + 2 - 2)*(-q - q + q) + q + 0*q - 4*q).\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -603.2 + 528. Let k = 75 + c. Put -5, k, 2 in descending order.\nAnswer: 2, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32 in -1, 1\/8, 2, -2\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 126\/28*(-8)\/(-18). Suppose -p*m - 750 = -7*m. Does 25 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 y, 1 h, and 1 j when four letters picked without replacement from yzazzzzajzzajyjhayz.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-57)\/(-399))\/(30\/(-2562))*4\/(20\/(-25))\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 99 + 87 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/((u\/u**(1\/3))\/u)*u))**16\/(u**9\/u*u**(-3))*(((u\/u**(2\/9))\/u*u)\/(u*u**(-6\/11)))\/(u**(1\/8)\/u*u**(3\/5)*u) assuming u is positive.\nAnswer: u**(-105871\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 832 is divided by 8\/(-1)*71574\/(-2416).\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -18*p + 1715. What is r(104)?\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten ninths of a hour?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2185.\nAnswer: 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6)*22\/(-22))\/(8\/14352*-13)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22875 divided by 3.\nAnswer: -7625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*z = 4*m - 660, -34*m = -30*m - 4*z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -14*c**3 + 14*c**3 + 20 - 10 + 6*c**3. Let w(u) = -4*u. What is w(n(k))?\nAnswer: -72*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**5\/360 + x**4\/144 + 5*x**2\/2 + 3. Let s(t) be the second derivative of f(t). Let s(h) = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(sqrt(6) + sqrt(486) + 1*sqrt(486)))\/(-4*(sqrt(200) + ((sqrt(200)*1 - sqrt(200)) + sqrt(200) - sqrt(200)) + sqrt(200))).\nAnswer: -sqrt(17)\/1520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * 43977\nAnswer: 1759.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4449 (base 12) to base 3.\nAnswer: 101100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*m = -15. Solve m*t + 3 = 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17611168 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: Collect the terms in 7751*f**3 + 7746*f**3 - 15517*f**3.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.086 - -5.805. What is j rounded to 1 dp?\nAnswer: -11.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2382584359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 2 = -17*v. Solve -4*s - v*a - 18 = -4*a, 5 = a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-6 - 0) - ((2 - -17) + 0) - -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 - -27.3. Let d = n + 2.2. Let p = 1 - 0. What is the nearest to p in -0.1, d, 3\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 222 and 406428?\nAnswer: 15037836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -8*w**2 + 129*w + 436. Determine o(19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -3*d**3\/2 - 13*d + 7. Let t(p) = -34*p**2. Calculate w(t(c)).\nAnswer: 306*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 3)*(-4*c + 2*c - 3*c)*(-3*c**4 + 2*c**4 + 3*c**4).\nAnswer: -10*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106849661?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 600916?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2\/(-4)*(-11)\/(55\/1290)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 4*n - b - 7, -3*n = -b - 5. Let h be (8\/(-28))\/((-26)\/(-14) - n). Solve 7*x = 2*x + 3*w - 26, -4*w = -h*x - 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 206\/3 - 69. Sort s, 5, 2, 4 in descending order.\nAnswer: 5, 4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/336 + -1*(-2)\/14?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -592864 to the nearest 1000.\nAnswer: -593000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2\/5 - 2810*u - 9870125 = 0. What is u?\nAnswer: -7025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + (0 - -5) - 5 - 1) + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 453\/6 - (-2 - 7\/(-2)). Let x = c - 71. Suppose 3*s = x*d - 276, -2*d + 179 - 1 = -4*s. Does 21 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*b + 9. Suppose -11 = -b*x + 3*r + 18, -4*r + 4 = 0. Let q be ((-660)\/x)\/((-1)\/80). What is q rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 1:57 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -22034.1058 rounded to the nearest 100?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 5*x - 3*x)*(74*x**4 - 243*x**4 - 148*x**4).\nAnswer: -1902*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 4. Let z be q(-2). Suppose z*p + 0 = 4. Factor 2*k**2 - 3*k**2 - k**2 - p*k.\nAnswer: -2*k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 3) in base 5?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 - 36. Suppose 2*v = w + 259. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 5 = 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 42, 114, 220?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2744158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 225880883906769?\nAnswer: -225880883906771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 339 + -317. Suppose -6*w - 4512 = -r*w. List the prime factors of w.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(4\/(96\/6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -412703*g**3 - 181*g**2 + 164.\nAnswer: -2476218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, g: 1, d: 1}. What is prob of sequence bdgb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 674, 675, 676?\n\"Answer: g + 673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 2:03 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -53, -47, -17, 49, 163?\nAnswer: 337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2988 and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10979328, -10979313, -10979298, -10979283?\n\"Answer: 15*w - 10979343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -87570.67621?\nAnswer: 87570.87621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -1\/50*v**5 - 16*v**2 - 17\/60*v**4 + 2\/5*v**3 + 0*v + 0. Factor k(j).\nAnswer: -2*(j + 6)*(3*j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(28)\/(sqrt(4) + sqrt(64)))**2 + 5.\nAnswer: 377\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 788519 a multiple of 895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26318 is divided by 26175?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/180 and -157\/6750.\nAnswer: 13500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**3\/6 - x**2\/2 - 127*x. Let s(u) = 2*u - 8. Let m be s(7). Let c = -6 + m. Calculate l(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84013060 and 152.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 2 + 3)*(-2 + 3 - 2) - 2 + 0 + 4)*(-263*z**4 - z + 12 - 260*z**4 + 531*z**4).\nAnswer: 32*z**4 - 4*z + 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -124 - 50. Is v a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 17*y**2 - 15*y + 15. Let l be k(-16). Let z be 5\/(-60) + 4*6\/288. Sort z, 4, l, -4.\nAnswer: -4, l, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, w: 5, n: 6}. What is prob of picking 2 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 58817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11591 is divided by 505.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + q - 2. Let d be z(-3). Suppose -d*c + 317 = -h, -2*c = -3*h + 5*h - 146. What is the highest common factor of c and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60904*p**2 - 27307*p.\nAnswer: -121808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 + 3*g**2 - 2*g**2 + (-158 + 302 - 2672*g - 144)*(-2*g + 4*g + g).\nAnswer: -8017*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*l - 1, 4*c + 5*l - 6*l = 9. Solve -c*p = -2*g + 2*p - 6, -3*p = -12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 2*d - 98, -3 = o + 2*d - 29. Let g = -4 + o. Let v be 1434\/22 - g\/77. What is v rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 85 in -7\/193, -4\/3, -3\/4, 2\/11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 29. Suppose p - 47 + t = 0. Let j = 37 + -24. What is the remainder when p is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/4 of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(72))*2 + (sqrt(400) + sqrt(400) + 1*sqrt(400) + sqrt(4))\/sqrt(2).\nAnswer: -4 + 43*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, w: 2}. Give prob of sequence ow.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450) + -2*(sqrt(450)*-1 - sqrt(450) - sqrt(450)))\/(sqrt(810)*-1) + 3.\nAnswer: -7*sqrt(5)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 10. Let v be z(0). Let k(t) = 624*t + 71. Is k(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/2)\/(207\/(-414)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33439.276 - -33512. What is f rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*sqrt(66))\/sqrt(6) + -1 + (sqrt(44))**2 + 2.\nAnswer: 2*sqrt(11) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l - 2*l + 3*l)*(0 + 1 + 1 + 2 + 2 - 5 + (0 + 0 + 1)*(0 - 3 + 2) - 5 + 6 + 4 + 2 + 2 - 3) in the form q + r*l and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/17 and 47\/6375?\nAnswer: 6375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58239713?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-5)\/(-5))\/(16\/32).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3 = 0, -v + 5*y - 10 = 4*v. What is the second biggest value in 1\/2, v, -16?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001533 to 4 decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 1777 - 1795 = 4*n, 18*i - 61 = 5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/6601 and 18\/779.\nAnswer: 125419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 89955265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 311, 0.7, -1?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 465 divided by 1?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 254*p = -257*p + 15, 11 = -2*q + 5*p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94335.8 milligrams to nanograms.\nAnswer: 94335800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1\/3 + 8\/(312\/18785))*8?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + 4\/2 + (-7)\/7. Let k be -4 - x - (-1 - 2). Solve k*h + 8 = -h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**5 - 981676*d**4 - 60282001288*d**3 - 6321442976312*d**2 - 162660968736884*d + 169042694696164 = 0. Calculate d.\nAnswer: -122657, -53, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-7)\/(-6) - 1). Let x be ((-3)\/g)\/(1\/48). What is x rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5510 times 4909?\nAnswer: -27048590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2679\/126*6\/10. Let g = -69\/10 + i. Calculate the common denominator of 13\/2 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 63*t + 68*t = -30, 2*f - 4*t = 3*f + 7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((3\/(-36))\/(-1)). Let u(w) = -8*w - 2 + 2 + p*w. Let d(t) = 4*t. What is d(u(c))?\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 - 518*h + 13335. Give y(28).\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4381*q + 20342 = -321376 for q.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7740220212 - 7740220337.99999911. Let l = 107 + -233. Let j = l - i. Round j to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26977 is divided by 1289?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 163, 254, 375, 526, 707?\nAnswer: 918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1211448 rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.3 (b) 4 (c) -1122 (d) 7 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-536)\/(-48) + -11 + (-3)\/(-36). Which is the closest to y? (a) -2\/19 (b) 2 (c) -0.095\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 593 a factor of 13365034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (17 + (-204)\/12)\/(-1). Solve 35*m + 18 - 123 = f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4545 and 14645.\nAnswer: 131805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 6, -4205, 34.\nAnswer: -4205, 3\/7, 6, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4*(sqrt(1216) - (2*sqrt(1216) + 3) - -1*1*sqrt(1216)) + -5 + 0)**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*k + 51*k + 43 = -108 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(7) + -1 + 0 + 5.\nAnswer: 4 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(5\/5)\/(1\/(-1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 0*b + 8 + 31 + 14*b - 9 to p*b + o and give o.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 5\/3 (b) 4 (c) 3 (d) -1 (e) 1 (f) 5 (g) -0.0752\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/8 - 1\/8. Let g = -15.63 - 0.37. Let o = g + 15.6. What is the closest to 0.1 in 1\/12, h, o?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8311833, 8311835, 8311837?\n\"Answer: 2*p + 8311831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -188730 divided by 1165?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 215 = 113. Let n = s - -166. Which is smaller: 28\/13 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4\/5 (b) 25 (c) 380\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4425333249 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q - 1 - 11 + 12.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248*m - i = -235*m - 35, -17 = -4*m - i. Suppose -4\/9*g**m - 10000\/9 + 400\/9*g = 0. Calculate g.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22243*k**3 - 11121*k**3 - 11117*k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1580 or 2\/1301?\nAnswer: 2\/1301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**2 + 3*s**2 + 392 - 2217 - 1513 to the form t*s + u*s**2 + y and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 6*z**5\/7 + 100*z**4\/7 + 640*z**3\/7 + 1920*z**2\/7 + 2560*z\/7 + 1024\/7 = 0.\nAnswer: -4, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*w - 219 + 873 = -346. Let h(c) be the third derivative of 0*c**3 + 0 + 0*c**4 + 0*c + 2*c**2 + 7\/30*c**w. Let b(g) = 2*g. What is b(h(o))?\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-527)\/102)\/(-31))\/(52\/78)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + -9 + -9 - -27.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20197*g**3 - 7 - 12 + 2 + 17.\nAnswer: 20197*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 10675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 4*i - 6 + 22, -28 = 4*i + 2*d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-75)*-2 - 1995\/225\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16, 36, 58, 82, 108, 136, 166?\n\"Answer: s**2 + 17*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.3 - 10.4. Let u = z + 7.2. Which is the biggest value? (a) -14 (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1756186+-0.72\nAnswer: -1756186.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18697.\nAnswer: 7, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34300 is divided by 33.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(133) - sqrt(133)*1)*4)\/(2*sqrt(175) - sqrt(175))*5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 12*i**2 + 5*i + 96. Calculate t(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -134886 (base 9) in base 12?\nAnswer: -3b806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 94\/(-30) - (-92)\/690.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - 9*a + 2*a**2 - 2*a**2)*(0 + 1 + 1).\nAnswer: 2*a**2 - 18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.9228 rounded to 0 dps?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -2*c + 7*c. What is the smallest common multiple of 10 and c?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/214158 and 59\/147546?\nAnswer: 752337054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 7:29 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) -3\/7 (b) 26 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 + 10?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 360.59511 to one dp.\nAnswer: 360.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzzzkzzvvevezfvz. Give prob of picking 1 v, 1 e, and 1 k.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -1\/6*t**3 - 9\/2*t**2 + t + 0 + 1\/12*t**4. Is z(7) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-5 + 14)\/9). Sort y, -7, -1\/2, 4 in decreasing order.\nAnswer: 4, -1\/2, y, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 - 0.3. Which is the closest to w? (a) -0.1 (b) -3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 22, 3, 8, -9 in decreasing order.\nAnswer: 22, 8, 5, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 289*n**2 + 66*n - 53. Is d(20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**(-2\/63))\/l)\/l**(-2) assuming l is positive.\nAnswer: l**(191\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((28*(-125)\/(-1050))\/5)\/(5\/(30\/(-128))).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c**2 - 73*c - 22. Let x be k(-24). Solve -5*u + 2*y - 7 = -4*u, 3*u = x*y - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-2 - -1) - (-5 - -8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 4*s = 12, 2*s + 8 = -2*l + 3*s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -381 + 482. Calculate the remainder when w is divided by 40.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 180 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1121?\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -7, 0, 3 in ascending order.\nAnswer: -7, -5, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/14 - 2668\/3864.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1724333521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(275))*6 - (sqrt(33)\/sqrt(3)*3)**2.\nAnswer: -99 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 32821.64 to the nearest ten.\nAnswer: 32820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 11*t**3 - 21*t**2 + 3*t. Let n(g) = -11*g**3 + 25*g**2 - 4*g. What is 6*n(v) + 7*w(v)?\nAnswer: 11*v**3 + 3*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8.414098cm?\nAnswer: 0.00008414098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93 + (179 - 113) + 79.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 17*y**2 - 8*y + 1. Let g be f(16). Let p = 21 + g. Is p\/(3 + 0) + -3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-15) - (-3033)\/20. Suppose 0*u = -t - 4*u + 152, 2*t + 3*u = 304. Let z = h - t. Which is the third smallest value? (a) -2\/5 (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a699a (base 11) to base 9.\nAnswer: 2088855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -9*l**2 + 211*l + 23. What is the hundreds digit of q(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 13*l + 27. Calculate v(4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 1. Let s(m) = 2*m + 3. Let q(r) = 6*s(r) - 11*u(r). Let z be (3 - 14)\/((-6)\/(-6)). Determine q(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -65, -44, 13, 124, 307, 580?\n\"Answer: 3*u**3 - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -80518876.\nAnswer: -5\/40259438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 237795567?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -2*i**3\/3 + 3. Let r(o) = 4*o**3 - 3*o**2 + o - 1. Let x be r(2). Let s(f) = 25*f - 8*f - x*f - 17*f. Determine l(s(d)).\nAnswer: -882*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 k when three letters picked without replacement from {u: 4, f: 1, k: 2, x: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-49388)\/(-60) + 2\/(-15). Is 0 + f - (-19 - -13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 301*g**2 + 9130*g + 2992. Calculate n(-30).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 125, 124, 123, 122?\n\"Answer: -g + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -16, 3*w - 2*m = 4*w + 12. Let f be w\/(-30) + 66\/55. Let n = 1 + -0.6. Which is the third biggest value? (a) -0.4 (b) f (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/11, 2\/3, -1\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13608820 - -19527.8.\nAnswer: 13628347.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -51*y**2. Let h = 3 - 5. Let w(b) = 5*b**2. Let o(l) = h*i(l) - 21*w(l). Let q(x) = -14*x. Determine o(q(d)).\nAnswer: -588*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 737 is divided by 44?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7189323 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 7832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -6.98. Let w = -21.9 - -19.88. Let x = w + l. Which is greater: -2\/11 or x?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (36 - (-49 - -49)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) + sqrt(441)\/sqrt(28))\/(sqrt(9) + sqrt(144)*-3))**2.\nAnswer: 63\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 0*m**2 + 1\/189*m**7 + 4\/27*m**4 + 7\/135*m**6 - 251*m + 0*m**3 - 1 + 7\/45*m**5. What is v in d(v) = 0?\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*m + 2*c, 0*c - 2*c = 3*m + 17 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.91 + 4. Let h = -0.027 - 0.103. Let l = h + u. Sort l, 1\/6, -3.\nAnswer: -3, l, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18984 divided by 6\nAnswer: -3164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51517364*t**5 + 64*t + 76863?\nAnswer: 1030347280*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -3*v + 85667, -5*o - 142685 = -5*v - 0*o. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.3 - 62.7. Let q = -75.999632 - z. Round q to 5 dps.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzufl. What is prob of picking 1 f and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/7 + (-70)\/(-245)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 6:05 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -133 + 529\/4. Let m = 0.2 + -1.2. Let t = -0.6 - m. Which is the second smallest value? (a) -5 (b) t (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyyyoy. Give prob of sequence oo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 153*r**2. Let u(p) = 302*p**2 + 2*p + 2. Calculate u(k(f)).\nAnswer: 7069518*f**4 + 306*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6204 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 6*q = -4*q + r - 15, 4*r = -12. Factor 0*z**2 + q*z - 1\/2*z**3 + 8.\nAnswer: -(z - 4)*(z + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15438965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 1241 (c) -0.4 (d) 0.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1652\/(-63))\/2*-9. What is the greatest common factor of 413 and g?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -152, -306, -458, -608, -756, -902?\nAnswer: -1046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -1, -57, -0.01 in decreasing order.\nAnswer: 2, -0.01, -1, -4, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aawawaaaaawawwawwww. Give prob of picking 1 a and 3 w.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*u + 69*u + 79*u + 19*u + 4*u in the form z + i*u and give i.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 145 by 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*f + 4*m, -8045*f - m = -8040*f + 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24246737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 966 is divided by 951?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/80136 and -86\/36729?\nAnswer: 881496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3471931955.\nAnswer: 5, 31, 22399561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604335 is divided by 26275.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1170610, -2341803, -3512996, -4684189?\n\"Answer: -1171193*j + 583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0 + 0)*(h**2 + 2*h**2 - 5*h**2) + 0*h**3 + 4*h**3 - h**3 + (2*h**3 - 2*h**3 + 3*h**3)*(-2 + 2 + 1).\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/1334853 and -131\/54.\nAnswer: 2669706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**9\/336 - t**5\/8 + 5*t**3\/3 + 8*t. Let g(c) be the second derivative of h(c). Find the second derivative of g(x) wrt x.\nAnswer: 180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46.5 - 52. Let s = 5.7 - 0.7. Let r = u + s. What is the smallest value in r, 4\/5, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.5 and 2122.\nAnswer: 5305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -133*d + 138*d + 2, 0 = 5*d + 4*f - 18. Solve d*c = -5*l - 5, -4*l + 29*c - 24*c + 29 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/(-6) + 533\/1170 and -11\/70.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/(-3))\/(315\/(-1134)). Solve -5*w - 6 = -3*m, -2*m + 7*m = w - y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 10*d**2 - 2*d - 11. What is the remainder when z(-9) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwwnfffwwwww. Give prob of sequence ff.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/14, 2226, 3 in increasing order.\nAnswer: -1\/14, 3, 2226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -149 + 158. Let u be (3 - 57\/18)*c*-12. Sort 2, 0, u, 4 in decreasing order.\nAnswer: u, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 59749 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-five thirds of a century?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 4*q**2 - 6*q - 5. Let p(v) = v**2 - 8*v + 3. Let j be p(7). Let s be w(j). Solve 3*l - s = -4*a, 4*a = 2*l + 2*l - 16 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30589\/20 + -1529. Calculate the common denominator of b and 5\/4*38\/(-4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 2)\/((-70)\/(-1715)*(-14)\/(-20)). Put -3, t, -98 in descending order.\nAnswer: -3, t, -98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 369 - 254. Suppose i + 112 = w. Solve -i*q = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 4*j**2 + 3*j - 7. Let m be x(-5). Find the second derivative of 5*k**4 - k**3 + 4*k**3 - m*k**3 + 4*k wrt k.\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*m**3 - 9494033*m + 72335163 wrt m.\nAnswer: -15*m**2 - 9494033","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 381 - 79. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 249381 and 726?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 8*t**2 + 6*t - 2. Let s be a(-5). Suppose -s = -3*r + 101. Suppose -10 = -2*v + r. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -9 (c) 6\/7 (d) -0.3 (e) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 111. What is the common denominator of ((-18)\/15)\/((-222)\/o - -2) and (-45)\/(-2)*5\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/18*-3*(-4)\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**2 - 14*p - 11. Let w(y) = 4 + 0*y**2 - 40*y - 2*y**2 + y**2 + 45*y. Let j(t) = 3*l(t) + 8*w(t). Give j(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 0 + (20 + -45 - -62 - 48)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (14\/(-3))\/(-2*17\/255) is divided by (12\/(-9))\/((-8)\/24).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h - 44. Calculate c(13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, t: 1, z: 3}. What is prob of sequence zytz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54832229*g + 166689388 wrt g.\nAnswer: -54832229","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39759 is divided by 1525?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 divided by 4.\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -31\/11?\nAnswer: -31\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p**2 + 6*p + 7. Let i(g) = 4*g**2 + 5*g + 6. Calculate -6*i(n) + 5*q(n).\nAnswer: n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -7. Suppose -g + 4*t = -0*t + 11, 6 = 3*t. What is the third smallest value in p, -5, g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - g**2 - 271*g + 20. Let j be w(-16). Which is the fourth smallest value? (a) j (b) -2\/9 (c) -0.027 (d) -1\/2 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10648620 - -5058177. Let b = -5590443.05000009 - w. Let j = b - -0.05. Round j to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d. Let w = 243 - 241. Let o(f) be the second derivative of 0 + 2*f + 1\/4*f**4 + 0*f**w + 0*f**3. What is s(o(t))?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -244 - -247. Suppose -9*f + m*f + 24 = 0. What is the second smallest value in -11, 1, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 393, 0.04, -3?\nAnswer: 393","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -241 - 2?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1413, -0.02, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 96 = -10*r, 5*i - 47205*r + 47207*r + 28 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39086855.\nAnswer: 5, 109, 71719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/39 and -47\/146198?\nAnswer: 438594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(8) + 4*sqrt(200)).\nAnswer: sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/11 + 18*w**2\/11 + 48*w\/11 + 32\/11.\nAnswer: 2*(w + 1)*(w + 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -5130 - 135657*n + n**2 - 1417 + 135657*n as d*n + g + v*n**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**23)\/a**5 assuming a is positive.\nAnswer: a**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -148.9897 - -149. What is k rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2744 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 6) in base 12?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 21*z**3 + z**2 - 5*z - 5. Give w(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 16860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + sqrt(76)*2*-1)\/sqrt(4).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4536)\/18)\/((-2)\/(-500)). Round v to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 - 31. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20\/(-24))\/(25\/30 + -1). Suppose -2*y + 3*y + w = 0, -s - y = -342. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -18*f + 14*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46861, 46900, 46929, 46942, 46933, 46896?\nAnswer: 46825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l**2 + 2. Let z(o) = -6*o**2 - o - 3. Let p(j) = 3*s(j) + 2*z(j). Is p(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 174 - 1220\/7. Let c be (10\/8)\/(9\/(-36)). What is the smallest value in 5, s, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -2424?\nAnswer: 1\/2424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 5*r + k - 101, 5*k = -20. Suppose -3*z - 4*i = -553, -39*z + 44*z + 2*i - 889 = 0. What is the highest common factor of r and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 3*a + 12 + 8, 4*n - 2*a = 16. Solve -n*v + 3*v = -2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 885*r = 892*r - 77 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 9\/(-6) - (-52)\/(-8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 400\/(28\/7 - 176598\/44150). What is b rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and 78283?\nAnswer: 78287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of (-47780)\/(-80) - (-3)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1994396\/5, 1\/8 in decreasing order.\nAnswer: 3, 1\/8, -1994396\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(-5*a + 6*a + a)*(1 + 5 - 3).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/3 + 40918*k\/3 + 1023575\/3.\nAnswer: -(k - 40943)*(k + 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -60*y - 124. Let t be d(-5). What is the highest common divisor of t and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -88, -0.4, 4\/3, 3\/7, 3?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 29*y + 19. Determine t(16).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {o: 2, e: 8}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 1416062184.\nAnswer: 1416062185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1440877618.\nAnswer: 2, 229, 3146021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*t**3 + t**2 + 3*t**4 + 6*t**3 + 55*t**3 + 1 + t in the form y*t**4 + p*t + l + o*t**3 + j*t**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -0.21, -4, -3.1, -5, 0.18?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4764890 (base 11) in base 14?\nAnswer: 11638d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-2)\/(-4))\/(255\/170)*141.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-1 + 2) - 1) + (408 - 414)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.54467km?\nAnswer: 544.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 7. Suppose 0 = 7*x - b*x - 6. Let r(h) = -h**3 - 81*h**2 + 251*h - 80. Let n be r(-84). Calculate the highest common factor of x and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -7*s + 2*s - s**2 - 2*s. Calculate the remainder when 29 is divided by z(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 32, 65, 96, 125?\n\"Answer: -v**2 + 36*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 887*h - 882*h + 40. Let r(m) = 11*m**2 + 88*m + 5. Let x be r(h). Calculate the highest common divisor of 335 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 17\/7, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*l = 82, -3*l + 6*l + 6 = 0. Let x = 132 - 87. What is the highest common divisor of x and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*l = -1710, 0*o + 5*l = -3*o + 2565. What is the tens digit of (-3)\/(-1) + o\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 8:58 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-3*(-10)\/(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 12847233.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-68)\/100)*(-15 + 6 - -14).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 192 + -1346\/7. Let n = 855 + 25. Let o = n - 881. Which is the closest to h? (a) 3 (b) o (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s**3 - 448*s**2 - 14*s - 1553. What is y(-112)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*o - 3*o, 13 = -3*i - o. Let v(u) = -u**3 + 5*u + 4. Let a(z) = 4*z + 3. Let j(c) = i*a(c) + 2*v(c). What are the prime factors of j(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**5\/9 - 589984*t**4\/3 - 195799170016*t**3\/9 - 261058480256*t**2\/3 - 783168361024*t\/9 = 0. Calculate t.\nAnswer: -221242, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 3 + 7 + 2*q)*(-14 + 0 + 1) to a*q + d and give d.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 27 + (-13 - -18 - 3 - 19)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4431052 (base 6) to base 16\nAnswer: 362a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 0 + 5\/39*l**3 - 2\/195*l**5 + 0*l + 12*l**2 - 19\/156*l**4. Determine z so that o(z) = 0.\nAnswer: -5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - -3*4\/90. Let o = 600 - 599.5. Which is the fourth biggest value? (a) 0.4 (b) 0 (c) s (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) 2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 764190.\nAnswer: 2, 3, 5, 7, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 36066, 72130, 108188, 144240, 180286, 216326, 252360?\n\"Answer: -3*s**2 + 36073*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26190 - 26177. Let o(c) = 16*c + 8. Let v be o(6). Calculate the highest common divisor of u and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 14) to base 10\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.9 and -12.4.\nAnswer: -35.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -79 or -165299?\nAnswer: -165299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i - 83. Let a be o(-23). Let h = -4 - 1. Put -2, a, h in increasing order.\nAnswer: h, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122.11562 rounded to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 47054?\nAnswer: -47051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1839 (b) -2\/7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 11885.\nAnswer: -1\/11885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -q**4\/4 - 16*q**3\/3 - 7*q**2 + 11*q + 20. Give x(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (-36)\/7 - (-15)\/5. Let y = -12\/7 - f. Let o = -0.03 + 0.33. Which is the second biggest value? (a) y (b) o (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzsgggzzzsggzz. Give prob of picking 1 g and 1 z.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 0.236.\nAnswer: -0.764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.8 - 4.8. Suppose -15 = -3*q - 3. Suppose -25 = -5*h + 2*d, 5*h = 4*h + q*d + 5. Put 1\/2, h, b in ascending order.\nAnswer: b, 1\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14976 and 7200.\nAnswer: 374400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(2*h**4 + h**2 - h**2) - h + h - 3*h**4 - h**2 - 2*h**4 + h**2.\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12981.33 * 0.09\nAnswer: -1168.3197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -15028?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**6\/120 - i**5\/20 - i**4\/12 + i**3\/6 + 42*i**2 + i. What is v(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049960 divided by 209992?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2038508381 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -17. Which is bigger: f or -1\/8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5720465431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-85)*(-3 + -2). Let t = -1.13 + 0.83. Which is the nearest to 1? (a) t (b) 2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1200202002 (base 3) to base 15\nAnswer: -9d32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3648186 and 2837478?\nAnswer: 25537302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/6*6\/(108\/6)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -6*y - 2*w + 133, 0 = 5*y + w - 231. Suppose 6*k = 5*f + 2*k - 85, k - y = -2*f. Let r be 1*-3*(-20)\/15. Solve -5 = r*s - f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10 - (7 + 0) - (1 + -1). Solve x - 10 = s*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010111101011 + -10000100?\nAnswer: -11011001101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in -0.2, 29.207, 1\/6, 18\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 31, 20, 5, -14, -37, -64?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9784, 9801, 9818, 9835?\n\"Answer: 17*l + 9767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z. Let p(o) = 314708*o + 1. Determine f(p(d)).\nAnswer: -944124*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 122 + 82. Let k = -15 + m. Let s = 89 - k. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*g + 1 - 37, -5*g + f = -38. Suppose -9 = -5*v + 1. What is the lowest common multiple of g and v\/(-6) - 128\/(-24)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + u - 7 = -2*c, 19*c = 20*c + 8*u + 25 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 - 2*k + 2*k)*(-18 + 11 + 16)*(5 - 2 - 2) + (1 - 1 - 2*k**2)*(2 - 2 + k) + 0*k**2 + 0*k**2 - 3*k**3 + (-2*k - 8*k**2 + 2*k)*(-k + 2*k - 3*k).\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 1. Let y(w) be the second derivative of w**3\/3 + 4*w**2 - 3*w. Give -8*q(c) + y(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7986567 divided by 631.\nAnswer: 12657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6*t. Let i(a) = 54*a + 135. Let n(c) = -i(c) + 5*m(c). Calculate the remainder when n(-16) is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a46 (base 13) in base 14?\nAnswer: -8cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8*-4\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1154826640 is divided by 83?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4824, 38374, 129224, 305958, 597160, 1031414?\nAnswer: 1637304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 2*a**2 + 0*a - 1\/3*a**3 - 4. Give c(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -315 - -609. Suppose -3*s + 2*i = -7039, -i + 2642 - f = s. Round s to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1485\/(-7))\/((-1419)\/(-66) - 20). Which is greater: -141 or s?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*d**5 - 3*d**2 + 113*d wrt d.\nAnswer: -160*d**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 205911797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 237 + 75 = -3*b, 2*b - 108 = z. What is the greatest common divisor of b and 288?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -211*n - 181. Let m(a) = -105*a - 82. Give -6*f(z) + 13*m(z).\nAnswer: -99*z + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 314 and 315 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -345\/8 + 43. Let v = -943.647 + 1.647. Let q = 941.5 + v. Which is the second smallest value? (a) q (b) -0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -31765*t**2 - 23552*t - 51. Let w(x) = 19059*x**2 + 14132*x + 30. Let b(a) = -10*k(a) - 17*w(a). Find the second derivative of b(o) wrt o.\nAnswer: -12706","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 103, 111, 123, 139?\n\"Answer: 2*o**2 + 2*o + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 58516 and 264?\nAnswer: 3862056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214310300 (base 5) to base 3.\nAnswer: 1202100101200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**4 - 35*u**3 - 93*u**2 - 69*u - 14 = 0. What is u?\nAnswer: -1, -1\/3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11011223 + -11?\nAnswer: 11011212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6*3*(-1)\/(-10)*5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h + 2*h + 4*h)*(-3 - 5 + 0)*(1 - 3 + 1)*(11*h - 52*h - 14 + 13) to g*h + n*h**2 + x and give n.\nAnswer: -656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 672\/294 + 2\/(-7) - 6 - -5. Solve -g - 2*c = 1, 0*c = g + 3*c - n for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 817 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 l = 1 - 1. Let v be -1 + (-13)\/(-11) + (-371)\/(-77). Suppose -q - 12 = -v*q. Solve l = -4*m + q*m + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 4569 - 4582 = n, -3*h = 3*n + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 715, 2875, 6431, 11383, 17731, 25475, 34615?\n\"Answer: 698*v**2 + 66*v - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74343 or 74356?\nAnswer: 74343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m + 1. Let w be (-15)\/6*(-72)\/20. Let g(o) = 10 + 12*o + w + 0*o - 15. Let z = -5 + 7. What is z*g(r) - 7*y(r)?\nAnswer: -4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s - 46. Let q be o(11). Which is the second smallest value? (a) -0.1 (b) 0.01 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 65\/4 - (-6)\/(-24). Let a(t) = 2 - r*t + 4 + 5. Let j(w) = 3*w - 2. Let h = -14 - -25. What is h*j(o) + 2*a(o)?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7446.9904 - 7440. Let t = -7 + k. What is t rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 48 = 3*k. Suppose -7*v + k = -4*v. Solve -2 = m, -h - v*h - 5 = -5*m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 471278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t + 45*t = 17*t + 52022. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a year?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*a = -4*b - 8, 17 = 3*b - 5*a. Let l be (b + (-84)\/(-15))\/((-8)\/(-40)). Calculate the highest common factor of l and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**3 + 163*a**2 - 347*a - 5645. Calculate b(79).\nAnswer: -1853","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5512\/(-143) + (-18)\/(-33). Which is greater: -30 or r?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3343 + -3240. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 0. Suppose 2*x - 6 = -x. Let q = x - v. What is the second smallest value in 4, -0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 339319 * 876\nAnswer: 297243444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/6*((-4)\/2)\/(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwllbwbllwl. Give prob of sequence blww.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*l + 119*l + 262 = -233 for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/2)*p**(1\/2)\/p*p**(-3)*p**(-2\/15) assuming p is positive.\nAnswer: p**(-62\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3317 and 243746.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13558417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -24413.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187874, 187872, 187868, 187862?\nAnswer: 187854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -17?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 - 16*s + 4. Let a be j(-17). Calculate the highest common divisor of 154 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -757? (a) 0.1 (b) 2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -540.9 - -541. Which is the nearest to t? (a) 1\/8 (b) -3 (c) -1\/2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29185 (base 10) to base 2.\nAnswer: 111001000000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3701?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -906 + 907. Sort 30, 1\/9, 2\/17, o.\nAnswer: 1\/9, 2\/17, o, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*n + 4*g, -2*n = -394*g + 397*g - 13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/5508 and -67\/55998?\nAnswer: 335988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 2685?\nAnswer: 10740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 78? (a) 0 (b) 1\/2 (c) 39\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -10 (b) -2\/19 (c) 34.6 (d) 14 (e) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 187*y - 166*y - 84. Suppose -4*n + y*t - 6*t - 204120008 = 0, -2*n - 102059984 = -4*t. Round n to the nearest one million.\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -791187 + 288782988\/365. Let u = h + -5\/73. Which is the closest to 1? (a) -0.1 (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 1:12 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 g when three letters picked without replacement from ccggggggcgcgc?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 10:26 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggfg when four letters picked without replacement from gfffgfggggfgggfgfgg.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 359176 and 3672?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29192, 116676, 262484, 466616?\nAnswer: 729072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 117, -2, -53, 2 in descending order.\nAnswer: 117, 2, -2, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-10))\/(45\/(-150))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3749659 is divided by 489.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2799273561?\nAnswer: 3, 7, 133298741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 0, 17, 48, 99, 176, 285, 432, 623?\n\"Answer: k**3 + k**2 + 7*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -17, 87, -2325, -4?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c = -56*c + 436325 + 407947. What is the greatest common factor of 1430 and c?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 9*u**2 + 10*u - 6. Let q be y(8). Calculate the remainder when (-2 + 5)\/(3\/q) is divided by 20\/3 - 6\/9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/5 + 148*w**2\/5 + 49*w\/5.\nAnswer: w*(w + 49)*(3*w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 70277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 6 = 7*r, -7953*r = -5*h + 7960*r - 15910*r - 106 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + d + 0*d)*(0 + 5 - 2)*(3*d**2 - 5*d**2 + 12*d**2).\nAnswer: -30*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 937*v + 59905. What is n(-69)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -0.8. Let y = 2.2 - h. Let m = 0.22 + -5.22. Which is the smallest value? (a) -0.4 (b) y (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 14*o - 11. Let c(x) = -5*x + 4. Let f(b) = -17*c(b) - 6*p(b). Let a = 0 - -1. Let n(h) = 3*h - 1. Let s be n(a). Determine f(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.2, 0.03, -13\/4, -0.08?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 5*i + 0*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/11792 and -19\/64.\nAnswer: 47168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 4 (c) -78 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2177, 8755, 19719, 35069, 54805, 78927?\nAnswer: 107435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*t + 15 = -27*t, 3*c - 23*t = -124 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 11*y + 14. Give b(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1309, 2687, 4181, 5797, 7541, 9419?\nAnswer: 11437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (33 + 37 - 57)*(4*z**2 - 332*z**2 - 206*z**2 + 11*z**2) in the form q + u*z + c*z**2 and give c.\nAnswer: -6799","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14420*k**3 + 2*k**2*t**2 - 375*t**2 + 11 wrt k.\nAnswer: -43260*k**2 + 4*k*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -947*h**2*n**2*x + 12*h**2*n*x + 223*h*n**2 - n**2 + 76*n*x wrt h?\nAnswer: -1894*n**2*x + 24*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 651 and 372?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 310599?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 6*t**2 - 12 - 3*t + 2*t + t**2. Is c(3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6*a**2 - 3*a - 4. Let g be y(-3). Let o = -53 - g. Is 8\/(-20) - o\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 12) in base 9?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 143 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**2\/7 - 316*h + 174748 = 0?\nAnswer: 1106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + -5 + (-12 - -4). What is the closest to 0.1 in -1\/11, o, -9\/2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 10:08 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - r**2 + 5*r. Let j be a(-3). Suppose -b - j*q = 2*b - 15, 5*b + 10 = 2*q. What is the nearest to b in -1\/2, -2\/11, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -7*v**2 + 8*v - 6. Determine s(3).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 19*n - 23*n - n**3 - n**3 + 3*n**4 - 7*n**2 - 17*n + 57*n in the form x + v*n**2 + y*n**4 + a*n + s*n**3 and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 3)\/(-4 + 18). Let b = 2559 + -2610. Sort b, -0.4, 0.4, x.\nAnswer: b, -0.4, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(6\/(-3))*1. Let d(g) = g**3 - 5*g**2 + 3*g - 7. What is the units digit of d(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -360 (base 7) to base 10\nAnswer: -189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 358962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*j - 2)*(2 + 1 - 5)*(-3*j**4 + 5*j**4 + 3*j**4).\nAnswer: 30*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 163677884 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/(-40) - ((-2222)\/420)\/(-11). Let h = 15.6 + -15.7. Which is smaller: h or b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v + 5*v - 2179 - v + v.\nAnswer: -2*v - 2179","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/47386 and 51\/713929.\nAnswer: 786749758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - ((-8)\/6)\/(3\/9). Let p be 4\/u - -3 - (-3)\/(-6). Suppose -12 + 30 = p*b. What is the lowest common multiple of b and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/9 (b) 3 (c) 4\/43 (d) -7\/19 (e) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 v when two letters picked without replacement from {v: 1, z: 5, b: 3, w: 4, e: 1, r: 6}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4865*s = -4855*s - 50 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5007.03 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x + 5. Calculate m(9).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*b - 2*f, 2*b + 2*f - 11 = -f. Solve 4*g - b*g = 18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15864060 + -2?\nAnswer: -15864062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l - 5. Let v be (3\/4)\/((-165)\/(-24) + -7). Determine h(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-88)\/(-352))\/(2\/2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23.2 - -23. Let t be 25\/(-57) - 1\/(-3). Suppose -4*r + r - 3*u - 3 = 0, 3*r + 5*u + 3 = 0. What is the closest to r in t, a, 3\/8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 2\/7 (c) -7 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 22 = -2*f - 4*d, d = -5*f + 17. Let q = -4.6 + 5. Let k = 0.449 + -0.349. What is the closest to -0.2 in f, k, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 292424.9 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -9. Let j(f) = -f**2 - 1. Let g(m) be the second derivative of m**5\/20 + m**4\/6 + m**2\/2 - 3*m. Give p*j(o) + g(o).\nAnswer: o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 2 - (-20 + 24) - -13 - -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 537 a factor of 8729472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 10:26 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -6*s + 4*s - 24, -2*s = b + 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*c**2 + 10*c**3 + 23*c**2 + 26*c**2 - 32*c**3 - 14*c**3 - 16*c**3.\nAnswer: -52*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*o**3 + 122*o**3 + 333*o**3.\nAnswer: 491*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 58775345297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 387415 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 9 - 55 = 0. Is g a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 629*u - 1215. Give r(2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/16 and (-30)\/(-8) + 40\/(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/(1375\/50)*2\/112.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 2*k + 98*m - 101*m, 8 = -5*k - 3*m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 389*w - 11297. Calculate a(28).\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1024469 to the nearest integer?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q - 12. Let r be k(6). Let u be ((-2)\/4*r)\/(-1). Suppose -2*m + 46 = 3*d + u*m, 3*d = 5*m + 56. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46\/(-10) + (-11123)\/245 + 45.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 - 3. Suppose -3*n + 6 = -2*x + 5, 3*n = -3*x - 9. Let a(p) = 2*p**2 + 2*p - 1. Let s be a(x). What are the prime factors of m(s)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21.789 and -0.07.\nAnswer: 1.52523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(24)*-2)\/sqrt(12) + (-4 + (sqrt(2) - (1 + 1 + sqrt(2))))*5 + -1)**2.\nAnswer: 744*sqrt(2) + 1249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 + 25. Suppose 3*o + 2*k = 31, a = 4*k + 5. Solve 2*g + 1 - o = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 2145 = 2823. Let d = -7040\/17 + k. Is d at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 38\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 61*a - 60*a + 10 = 0, 2*i + 0*i = -3*i - 24*a + 61 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 25\/(-15)*3. Let t(x) = -2*x**2 - 18*x + 9. Let n be t(y). Let z be (-3 + 65\/n)*-20. Solve z = -8*g + 10*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 340, 342, 322, 274, 192, 70?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 258991326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**4\/4 + 7*v**3\/3 - 5*v**2\/2 - 7*v - 260. What is h(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + 4*a - 4*a + (4*a - 2*a - 3*a)*(-1 + 0 + 5) - 6*a + 0*a + 4*a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10062*d - 10292*d + 20677*d.\nAnswer: 323*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 - 49. Solve t + 0 = -5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 2207?\nAnswer: -2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 323681 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -1. Let o(c) = -2*c - 10. Let s(r) = 60*k(r) - 6*o(r). Let y be s(1). Let d = -2 + y. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o**2 - 6*o + 1. Let k(a) = -3*a**2 - 5*a + 1. Let h(t) = -5*k(t) + 4*z(t). Let g(v) = -6*v**2 + 3*v - 5. Give g(s) - 4*h(s).\nAnswer: -2*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 divided by -65?\nAnswer: 36\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17625 and 2250?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**3 + 62*p**2 - 260*p = 0.\nAnswer: 0, 5, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 119884064 divided by 8?\nAnswer: 14985508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -1595.\nAnswer: -1\/1595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/6 - (-780)\/36. Let r = -5 + q. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 95.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -323 + 1503?\nAnswer: 1150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2927*g*j + 2*g*l**3 - 264*g - j**2*l**3 + 3*j*l**3 + 5*l**3 wrt j?\nAnswer: -2927*g - 2*j*l**3 + 3*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.57, 2\/9, -2\/13, -73, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 70, -3 in decreasing order.\nAnswer: 70, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 10:02 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 464646 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 21. Suppose -75 - 61 = -c*k. Suppose -71*v + 27*v = -440. What is the remainder when k is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 - 4. Let b(u) = -1. Let n(o) = 4*b(o) - w(o). Let h(q) be the second derivative of 0 - 1\/3*q**3 - 2*q + 0*q**2. What is h(n(l))?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 16*g**2 + 13*g - 13. Let i = -2 - 13. Suppose 3*u = 6, -4*o - 2*u - 19 = -215. What is the remainder when o is divided by t(i)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r**3 - 74*r**2 + 24*r - 262. What is y(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**3 - 4*i + 5. Let t be w(3). Let r = t + 88. Suppose -5*g = -25, r*u - 2*u = -2*g - 4. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 3*r + 5, -2*v - 11 = -4*v - 3*r. Let a = v - -3. Suppose 0 = -6*f + a*f + 38. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.373477 litres to millilitres.\nAnswer: 1373.477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 3. Suppose a - 10 + u = 0. Suppose -4*t + a*t - 15 = 0. Solve h = 2*f + 3*f + 3, -15 = 4*f - t*h for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**5 + 55*r**2 - 55*r**2 + (-r**2 - 4 + 4)*(-r**3 - r**3 + 0*r**3) - 3*r**4 + 3*r**4 - r**5.\nAnswer: -4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-nine fifths of a gram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/4)\/((-40)\/7518880) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w**2 + 9. Let k(i) = 2*i**3 + 5*i**2 - 10. Calculate -3*k(f) - 4*u(f).\nAnswer: -6*f**3 + f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-j + 3 - 3)*(3*j**2 - 2*j**3 - 3*j**2) + j - j**4 - j)*(-1 - 1 + 1).\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*g - 346, -13*a + 16*a = -5*g + 505. Solve 0 = 188*n - a*n - 24 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (143\/(-1))\/((-18)\/(-3) + -7). Let p be (-2)\/(-1)*6\/4. Suppose 0 = -p*a + 15, -5*a - m + 418 = 5*o. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/11)\/g*g*((g\/((g**(-31)*g)\/g))\/g)\/g*g*g*((g\/g**(-2\/27))\/g)**36 assuming g is positive.\nAnswer: g**(1147\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 50268243593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -3*f - 5*c, 4*f - c = -0*c + 66. Differentiate -437*l - 56*l**3 - 3 + f + 437*l wrt l.\nAnswer: -168*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4369473 is divided by 5921?\nAnswer: 5696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-3 - -2))\/1. Suppose 5*f - g - z*g - 341 = 0, -g = -2*f + 137. Suppose f = 13*j - 8*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25077*u**2 + 75250*u**2 - 25076*u**2 - 25084*u**2.\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -45 + (20 - (-399)\/(-21)) + -7?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**4 - 9064*m**3 - 5134612*m**2 + 326304*m + 184851216 = 0.\nAnswer: -1133, -6, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**5 + 4*x + 1. Differentiate q(s) wrt s.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5*w - 2*w - 5*w)*(-6 + 5 - 1) - 2 + 2 + w + 13*w + 5*w + 23*w)*(-1 - 3 + 6) - 140*w - 54*w - 97*w in the form i*w + p and give i.\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**5 + 33292*w**4\/5 - 9332*w**3 - 19964*w**2\/5 + 9328*w - 13328\/5 = 0. What is w?\nAnswer: -1666, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3943736 rounded to 2 decimal places?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**4*(t\/(t\/(t**(-13)\/t)))\/t)**41)**39 assuming t is positive.\nAnswer: t**(-17589)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1007 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/3 - 34\/(-6). Suppose 0 = 5*a - l*o - 60, 3*o + 43 = 4*a + 4*o. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*18\/6*5\/(-585)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*x + 6 = p, 3*p = 3*x + 6. Which is the smallest value? (a) 0.3 (b) 3 (c) 1 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000018212 to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42478 - 20933. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 5:10 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-95)\/85 - -1) + 0 + (-2007)\/(-153).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*j = 127 - 214 - 487. What is the greatest common factor of j and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13908020309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q - 37. Let d be v(20). Suppose -3*l + 7 = -5. Suppose 3*p = l*p - 5, -3*g + 23 = p. Solve -x = -d*x - g for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.3 (c) -0.2 (d) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -4\/5 (b) -6\/13 (c) -6 (d) 0.08 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 43*n**3 + n**2 - n. Let u be q(1). Suppose 5*h = 5*z - 55, 3*z + 0*h = -2*h + u. Calculate the remainder when 24 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhnx when four letters picked without replacement from {f: 3, x: 1, h: 1, n: 6, a: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -251853 divided by -201\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence alal when four letters picked without replacement from llaldlaaaaaalalaal.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330) + (sqrt(330) + 2*sqrt(330) - sqrt(330)))\/sqrt(10)*-5)\/((sqrt(18)\/sqrt(2))\/sqrt(3) + sqrt(108)\/sqrt(9)).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 10:17 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 2*c**2 + 2. Let b be r(2). Let k(n) = 2*n + 2. Let f be k(-2). Let h = f + 4. Is b at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvto when four letters picked without replacement from {g: 3, z: 5, t: 4, o: 3, v: 1, l: 1}.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*w - 4 + 149 + 65. Solve b + 59 = 61, -5*b = -4*s + w for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h**2 - 5*h + 3. Let w(f) = 14*f**2 + 14*f - 8. Determine -8*d(a) - 3*w(a).\nAnswer: -2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4\/5, 3, 1320604, -0.2.\nAnswer: -1, -0.2, 4\/5, 3, 1320604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + -0.168. Let n = o + 37.968. Let s = n + -43. What is the fourth smallest value in 4\/7, 0.4, s, 0.2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a + 7. Let m = -11 - -20. What is the remainder when j(m) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(10\/5) - (-329)\/63.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 0*l**4 + 0*l + 2*l**2 + 7\/10*l**5 + 7 + 1\/3*l**3. Let g(u) = u**2. What is w(g(v))?\nAnswer: 42*v**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 20*p - 5. Let k(d) = -64*d + 10. Calculate 3*k(f) + 10*z(f).\nAnswer: 8*f - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49444*k**3 - k**2 + 6*k - 1160 wrt k.\nAnswer: 296664*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 9:04 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 508319906 to the power of 1\/2, to the nearest integer?\nAnswer: 22546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -6.69 (c) -5 (d) 56 (e) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t - 2 - 5 + t. Let c(l) = -28*l - 164. Let m be c(-6). List the prime factors of v(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -5*m + 1, -5*p + 3*m + 1 = -12. Suppose 6*z = p*z + 12800. Round z to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + -148. Let b = -165.000174 - q. What is b rounded to 5 dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*s + 17. Let m = -258 - -256. Which is the biggest value? (a) m (b) -1\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fcq when three letters picked without replacement from cqffnfy.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a day in minutes?\nAnswer: 14112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42444, 87246, 132024, 176772, 221484, 266154?\nAnswer: 310776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*f - 22, 0*g = -2*g - 2*f - 4. Suppose 5*a + 365 = 3*y, 2*y + 190 = -3*a - g*y. Let o = -46 - a. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 10*d - 4. Let u be w(-4). Let j = u + -12. Let t = j + 0. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*p**3*y - 6*p**3 + 2*p**2*y**2 + 41*p**2 + 7521317*p*y**2 wrt p.\nAnswer: -126*p*y - 36*p + 4*y**2 + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 22133302013 (base 4) to base 2\nAnswer: 1010011111110010000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -726*x**2 + 1301*x**2 - 262*x**2 to y + v*x + p*x**2 and give p.\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19479862*q**6 - 8044061*q**2?\nAnswer: 2337583440*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6327*6.09\nAnswer: -38531.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2\/3 - 137*j + 14174\/3 = 0. Calculate j.\nAnswer: 38, 373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 834086108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4872287?\nAnswer: 7, 43, 16187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-36 - 22*o**2 - o - 43 + 76)*(-o + o**2 + o) to h + z*o**2 + b*o**3 + r*o + u*o**4 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/45)\/(20\/((-1160)\/58))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 61244450 to the power of 1\/2, to the nearest integer?\nAnswer: 7826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(880)*-4 + sqrt(880) + sqrt(55) + -1*(sqrt(440)\/sqrt(8) - sqrt(55)))\/(-4*-2*sqrt(605) + (sqrt(605) + -2*sqrt(605))*-4).\nAnswer: -sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 742 divide 259604175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 18\/5 of a meter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 1981?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q**2. Let w(s) = -26581*s + 27088*s - 15 + 16. Give w(f(c)).\nAnswer: -2028*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnenqxxnnxebxeqneqqq. Give prob of sequence nnb.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -46344 - -10?\nAnswer: -46334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b - 1. Let z = -4 + 8. Let l(w) = -4*w - 2. Calculate z*l(o) - 9*y(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6667 (base 13) to base 15\nAnswer: -4371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.16 - -7.84. Let w = 12 - u. Sort -2, w, 2\/7.\nAnswer: -2, 2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + 42. Calculate the remainder when 39 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(189\/(0 + 3)). Which is greater: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -51089*s - 29030 wrt s?\nAnswer: -51089","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2725 is divided by 53?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25579997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, o: 1}. Give prob of picking 1 o and 1 r.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.422558 years to decades.\nAnswer: 0.8422558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/3 and 71\/16536.\nAnswer: 16536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9976)\/(-387))\/58 + 86\/(-180).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -0.8. Let o be ((-24)\/(-10) - 2) + (-36)\/240. Which is the nearest to o? (a) d (b) 5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.1 - 1. Let r = x - 0.2. Let g be -4 - (68\/(-16))\/1. Is r at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -134174, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j**3 - 5*j**2 - 2*j - 6. Let g be f(4). Suppose r - 4*r = -g. Let u = 54 - r. Solve 0 = 3*v + 4*k - 32, 30 = 5*v + 2*k - u*k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 464 and 524291?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 3*i - 2*i = 6, x + i = -3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299*f - 252 = 173*f. Suppose 0 = 4*v + v - 10. Solve -f*z + 16 - 6 = v*k, -3*z = 4*k - 17 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 722 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 2\/15, 1, 96, 2, 28 in descending order.\nAnswer: 96, 28, 2, 1, 1\/6, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of (-1724)\/(5 - ((-6 - 0) + (-312)\/(-28)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 185013 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1411*p = -969*p - 1167*p + 401*p + 154154 for p.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 768 - 763. Solve -1 = -2*q + 5, 7 = 4*d + o*q for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122792589 to the nearest integer?\nAnswer: 11081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.267? (a) -3\/8 (b) 1.4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 753063 and 70184?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41323867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-30 + 30 - (-1 - -2))) + 16\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -79? (a) 11\/3 (b) -2 (c) -43 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 98, 83, 48, -13, -106, -237, -412?\n\"Answer: -o**3 - 4*o**2 + 4*o + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -9, 0 = -r + s - 0 + 8. Suppose r*u = 813 - 293. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 4\/3, -1\/12, -0.05?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42471671533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(20) - sqrt(500)))*1 + -1*(sqrt(20) - -5*(3 + sqrt(20))).\nAnswer: -20*sqrt(5) - 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 5*n - 5*y, 25 = -2*n - 5*y + 60. Let v be (1 + -1)\/(6 + -3). Let b = 3 - v. What is the greatest common divisor of n and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.19 (b) -1.3 (c) -5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 8)*(-15*x + 42*x + 8*x)*(x - x - 3*x) to v*x + n + y*x**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 859 + -831 - (-3 + 3 + -17)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2077866 by -2151.\nAnswer: -966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 0*b - 3\/2*b**2 + 8\/3*b**3 - 9. Find the second derivative of p(k) wrt k.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70 + 32 - 62)*(-2*v + 0*v + 4*v) - v - v + 0*v.\nAnswer: 78*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-28)\/24*(-16)\/84.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3686321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58104 or -1510677\/26?\nAnswer: -58104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 36 in 12, 0.02, 17, 1133?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4)\/((-4)\/(-90)*1134\/2016).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -390 + 393. Let y = -10.6 + 5.5. Let p = y - 8.9. What is the smallest value in p, i, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**8*i**(-25) assuming i is positive.\nAnswer: i**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + 43085\/25 + 9\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g = -21*g. Let v(r) = g + 0 + 39*r - 22*r. Let n(t) = -t**2. Give v(n(l)).\nAnswer: -17*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -399839*v + 400834*v + 102485 for v.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 38*b. Let j(h) = -37237*h**2. What is j(x(q))?\nAnswer: -53770228*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -380\/73 in -0.2, 5, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1302.3 - 1298.3. Which is the closest to -1\/4? (a) v (b) 2 (c) 0 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*(-5)\/(-225))\/(2\/(5\/1225*50)).\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/4 and 46\/100235.\nAnswer: 400940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, -4, -0.2, 0, 5 in descending order.\nAnswer: 5, 2\/21, 0, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41423995?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/71520 and 119\/128736.\nAnswer: 643680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 72 = 4*x, -3*x + 37 = -y - 11. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*l = 2, 29 - 127 = -4*j - 2*l. Suppose -34 = 3*c + 4*d, -4 = d - 3. Calculate the smallest common multiple of c\/(-2) - (-1 - -2) and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 - (-8 + 5) - (-761 - -773)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -3*b - 17 + 8, -4*u + 15 = -5*b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111011110101 + -100010100010?\nAnswer: 10011001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -6. Let m = 2 - d. What is the closest to 0.1 in m, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 5672.4359, -1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 0*c = -1890. Is 30 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82 - 86. Let m = -0.025 + 1.025. Put 0.6, t, m, 0.3 in descending order.\nAnswer: m, 0.6, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*j + 4 = 0. Solve -3*v = -5*k + 20, 4*k = -2*v - 4 - j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 36904, 36906, 36910, 36916, 36924?\n\"Answer: p**2 - p + 36904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/8 + 45647*r\/8 + 5945435\/4.\nAnswer: (r + 262)*(r + 45385)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 11:51 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 126 (base 7) to base 8\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-6\/11)*h)\/(h\/h**(-3)))\/(h*h\/(h\/(h*h*h**(1\/2)*h)))**17)**(-1\/53))**(6\/25) assuming h is positive.\nAnswer: h**(5283\/14575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*d + d = 70, 4*y = d - 95. List the prime factors of (-10030)\/y + (-9)\/45.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 151 (b) -0.123 (c) -1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(12\/18)\/(-2). Let p be 59\/7 - ((-18)\/(-42) + n). Solve -y = y - p for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 44*p**2 - 10 - p - 94*p**2 + 49*p**2. Let b be z(0). Let c = 6 + b. Which is smaller: 3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*w + 0*w - 8 = 0, 4*w = 8. Suppose -100 - 248 = 58*s. Sort v, 2, 4, s in increasing order.\nAnswer: s, v, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 2*s + q + 5 = 0, -s + 5*q + 25 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 553 or -109326?\nAnswer: -109326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 3 - (3 + 4 + -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 0. Let j = 9.2 - 16.7. Let r = j - m. What is the closest to -2\/17 in 4, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6552887 to the power of 1\/2, to the nearest integer?\nAnswer: 2560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 173*f**2 + 0 + 196*f**2)*(-f**3 + 0*f - 4*f + 2*f**3).\nAnswer: 23*f**5 - 94*f**3 + 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*x**3 - 35356*x**2 - 2756816*x - 275328 = 0 for x.\nAnswer: -72, -1\/10, 956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -14*z**3 - 3*z**2 - 65*z. Let u(b) = -b**3. Let y(r) = -p(r) + 3*u(r). Find the second derivative of y(a) wrt a.\nAnswer: 66*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23\/64 at most as big as 5893?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*a**3 + 3564397 + 3*a**2 - 3564397.\nAnswer: 169*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x. Let c = 15 - 6. Let g(h) = -21*h**2 + 9. Let r(d) = -5*d**2 + 2. Let n(u) = c*r(u) - 2*g(u). Calculate m(n(q)).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 74878 to the nearest one thousand.\nAnswer: 75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 0*t + 2*t + (1 - 2 + 3)*(2*t + 0*t - 4*t) + t + 3*t - 2*t + 2*t - 5*t + 4*t)*(45*t**4 + 28*t**4 - 10*t**4) - 2*t**2 + 2*t**5 + 2*t**2.\nAnswer: -187*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*p - 14 = 0, 0 = 3*o + 4*p - 2*p - 66. Let z be (-4)\/14 + (-2)\/(-7). Suppose -4*u = -u - 12. Solve -o = -u*k - z for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 147766411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 24 = 10*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31461\/100736 + -39\/128. Let m = c - -41699\/1574. Calculate the common denominator of (-1)\/(-4) - 27\/60 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297*w = 299*w - 6708. What are the prime factors of w?\nAnswer: 2, 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 227048, 227043, 227034, 227021, 227004, 226983, 226958?\n\"Answer: -2*m**2 + m + 227049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 0 = -12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*t - 11*t - t**2 + (4 - 5 + 3)*(2*t**2 - 4*t**2 + 0*t**2) - 3*t**2 + 2*t**2 + 0*t**2 + 39*t - 39*t - 3*t**2 to the form l*t**2 + i + d*t and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(1377)*2.\nAnswer: -4 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*((d**(-2)\/d)\/d)\/d*d*d)**23\/(d**4)**(-1\/16))**(-46) assuming d is positive.\nAnswer: d**(4209\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/293714 and 1\/344.\nAnswer: 50518808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 429974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/208)\/((-42)\/672)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 18*h. Let o be t(2). Let p(a) be the first derivative of a**3 - 3*a - 1. Let w be p(-3). What is the greatest common factor of o and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2625 (base 15) in base 13?\nAnswer: 391a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 55 + 18 + 224*i + 30.\nAnswer: 224*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12755*-0.16.\nAnswer: 0.020408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -304523945.6 - -304524076.6000011. Let q = n + -131. Round q to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32+-285012641060\nAnswer: -285012641092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15948, -15947, -15946?\n\"Answer: y - 15949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/15 (b) -0.3 (c) 1446\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -335 + 338. Sort c, 1, 4.\nAnswer: 1, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10 + (-8165)\/(-583) + (1 - 5). Do -1 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 15*c**3 + c**2 + 4*c + 3. Let y(h) = -14*h**2 + 2 - 8 - 30*h**3 - 8*h + 12*h**2. Let m(i) = 5*j(i) + 3*y(i). What is the units digit of m(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 28*j. Let w(b) = b**3 + 28*b**2 + 98*b + 50. Let u be w(-24). Let k(s) be the second derivative of -1\/6*s**3 + 4*s + 0 + 0*s**u. Calculate k(l(o)).\nAnswer: -28*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -162*j**5 + 7812*j**4\/5 + 1723406*j**3\/5 - 153416*j**2 + 85272*j\/5 = 0.\nAnswer: -209\/5, 0, 2\/9, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 8*q**2. Let i(s) = 26*s**2 + 9. Determine r(i(l)).\nAnswer: 5408*l**4 + 3744*l**2 + 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21597?\nAnswer: 3, 23, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 116*t**2 - 403*t**2 + 19*t - 19*t in the form o + v*t + j*t**2 and give j.\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 0, 0.2, -1\/6, -0.3 in decreasing order.\nAnswer: 0.2, 0, -2\/13, -1\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-21)*p)\/p*p**(-8\/7)*p**(3\/2)\/p**(1\/11) assuming p is positive.\nAnswer: p**(-3193\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 154823448?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 268740276*m**3 + 3*m**2 - 156*m + 24028 wrt m.\nAnswer: 1612441656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1027 + -1054. Which is bigger: -336\/13 or f?\nAnswer: -336\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -2081?\nAnswer: -2086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(-5)\/g)\/g)\/g)\/g*g*g*g**(2\/3)*g**7\/g**(1\/4))**(-3\/2) assuming g is positive.\nAnswer: g**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 827152 and 8213741?\nAnswer: 2234137552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 + 245*i**3 - 483*i**2 - 729*i.\nAnswer: -i*(i - 243)*(i - 3)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -15 - (-668997)\/41699?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*b**3*z**3 - 567*b**3 - 1710*b**2*z**5 - 4*b**2*z**2 + 2*b*z**2 wrt z?\nAnswer: 96*b**3 - 102600*b**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)\/((w\/w**(-2\/21)*w*w)\/w))\/(w**(-9)*w\/w**9*w)*(w\/w**(2\/5))**20\/(w**(1\/2)\/(w**(-4)*w)) assuming w is positive.\nAnswer: w**(773\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhhh. What is prob of sequence hj?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 2*l + 16. Suppose -79*m + 76 = -77*m. Let h = m + l. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of (-260)\/15*(-11 - (11 - -140))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 6 + 18. Suppose -2 = -4*l + v*l. Solve 4*r - 4*y = -0*r, l*r + 12 = 5*y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 546 + 1817?\nAnswer: 1d5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.17 + 1.83. Suppose 4*y - 2*y = 52. Suppose 2*x = -5*w - 2*x - 9, -2*w + 4*x = y. What is the closest to 0 in w, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -74634794.7 to the nearest 10000.\nAnswer: -74630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27700 is divided by 76.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 7:27 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 25*a**2 - 25*a - 54. Let o be u(-24). What is the common denominator of 61\/30 and 5\/o*-121 - 0\/2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 - -29. Let w be -4 - (-2)\/(-2)*u. Suppose w*r = -5*n + 147, 2 = 4*n + 2*r - 116. What is the remainder when n is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7190185?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 191965711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 738206 is divided by 2646?\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2)*v**(-15)*v*(v*v**(-1))**(-2))**(-6\/13) assuming v is positive.\nAnswer: v**(87\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 60 divided by 4376\nAnswer: 15\/1094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-1)*v*v)\/v**(-4\/25)*v\/(v**47*v)*v*v*v**(-8\/3) assuming v is positive.\nAnswer: v**(-3263\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*o**3 - 97*o**3 + 196*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + -2 + (-6 - -8). What is the derivative of -5 - 3*b - b + a wrt b?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13\/4*-10*-28. Let r be 6\/(1 + t\/(-916)). Let h = r - 499. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-32 + 52 - 24)) + (-139 - 1).\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 748344, 1496758, 2245172, 2993586?\n\"Answer: 748414*f - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ax when two letters picked without replacement from {g: 2, p: 2, f: 1, a: 1, q: 1, x: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 9 = o - c, 0 = -3*o - c + 5. Let g(j) = 3*j + 1. Let x(b) = -3*b. Give o*x(y) + 3*g(y).\nAnswer: 3*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/11)\/(21\/(5544\/(-96))).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -740 - -436. Let q = 16643\/2 - 189765\/22. Let c = q - n. Sort 0.07, c, 0.4 in descending order.\nAnswer: 0.4, 0.07, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34 in 3, -2, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1547*w + 574*w + 389*w + 583*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 1233?\nAnswer: -1242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -42*t + 4. Let z(y) = y - 1. Give n(w) + z(w).\nAnswer: -41*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10181*w**3 + 10197*w**3 - 20391*w**3.\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1427880681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.18 - 0.4. Suppose 2*n + 18 = -4*i - 6, 2*n - 3*i = 11. Which is the second smallest value? (a) -3 (b) n (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*h, 7*r = 4*r - h + 8. Suppose 10*b - 150 = r*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 198 and 251922.\nAnswer: 755766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-5)\/(-15)*6. Which is the closest to 1? (a) 15 (b) 0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + 1 - 1)*(-146 + 874 + 564)*(-4*j**3 - j**3 + 3*j**3).\nAnswer: 15504*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 - 31*q - 14. Let b be t(-15). Solve -a - 4*c = -3*c - 3, a + b = c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzwwzwww. What is prob of picking 2 z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-158)\/(1\/(1\/(-2))). Let u = -77 + k. Calculate the lowest common multiple of u and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*a + 235*a - 94*a + 46 - 73*a.\nAnswer: -4*a + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 7*j**2 - 5*j + 8. Let w be h(-6). Let n = 25 - w. What is the remainder when n is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20594 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 - 89*u**2 + 58*u + 4447. Determine o(-44).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.73 - 2.31.\nAnswer: -3.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1669.793 from -1.1.\nAnswer: -1670.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 3. Determine z(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 c when three letters picked without replacement from {d: 1, h: 1, c: 11, z: 1, w: 1}.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-102)*(-2415)\/322.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2752 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pocpc. Give prob of sequence poc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*1*-1*2)\/(sqrt(81) + -2*sqrt(81)*2)*3.\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -1916*f + 211. What is the hundreds digit of o(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27161\/4 + -6791. Sort -2\/3, l, 7, 5 in decreasing order.\nAnswer: 7, 5, -2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3171.459 - 3170. Let l = r + -0.289. Let o = l + -0.17. Which is greater: o or 0.08?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -106 - -105. What is the third smallest value in -2\/11, -0.3, c, -2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**6\/285 - c**5\/95 - c**4\/114 - 17*c. Determine f so that y(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 438*a**2 + 1. Let d(j) = 1025*j. Calculate d(g(y)).\nAnswer: 448950*y**2 + 1025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 - 27524?\nAnswer: -27507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 4988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45350.\nAnswer: 2, 5, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4695*r - 12757*r**2 - 7818*r + 627*r wrt r.\nAnswer: -25514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 12:02 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 36314?\nAnswer: 36320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -175\/7300854 and -23\/8923266.\nAnswer: 80309394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 22. Calculate the least common multiple of t and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**4)**30\/(u\/u**(-7)*u**(-5)) assuming u is positive.\nAnswer: u**147","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 44. Let h be n(-39). Put 6, -6, h in decreasing order.\nAnswer: 6, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*g**2 + 196*g - 196*g to the form q*g**2 + i*g + s and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 5. Let h be t(5). Solve h*g - 4 = g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135 and 300105.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 0 + 9*c**3 - 7*c**3 - 3. Let s(f) = f. What is g(s(z))?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of 0 + 4*h + 1\/6*h**3 + 0*h**2. Let m(p) = 3*p. What is m(w(n))?\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 - (1 + -4 - (-104 + 104))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00855 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.106 - -1.106. Let w be -6*((-4)\/8 + 15\/10). Which is the second smallest value? (a) v (b) 1\/17 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 41 = -u + 45, -7 = -g + 4*u. Let c = g + 18. Suppose -2*p - c = 7*p. Sort -0.05, p, -1 in decreasing order.\nAnswer: -0.05, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 4 - 4)*(2412*a - 3853*a + 5743*a + 5722*a).\nAnswer: -20048*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of r**7\/280 + r**6\/160 - r**5\/80 - r**4\/32 - 3*r**2 + 4. Let i(g) be the second derivative of h(g). Factor i(o).\nAnswer: 3*o*(o - 1)*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3145 + 3150. Solve 0*i + 4*i - a = 23, -5*i = -k*a - 40 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = -7*g + 20, 5*d = -5*g - 5. Solve -3*q = -d - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - 3*(-5)\/(-15). Let i = 41.1 - 41.5. Put k, i, 92 in decreasing order.\nAnswer: 92, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -216 + 197 + (0 - -26) - (0 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 7009684593?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 + 17 - 60 - 12*o + 4 - 4*o.\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 5. Calculate f(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1166351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + f + 213 = 3*w, 4*w + 178 = f. Let g = -218 + f. Which is bigger: g or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/(34\/51).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20 - 110*f + 43 - 23 + (4*f - 2*f + 0*f)*(2 - 2 - 2) + (-4*f + 3 - 3)*(-5 - 11 + 2).\nAnswer: -58*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 361242*d - 722494*d + 361251*d - 31.\nAnswer: -d - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1295948796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a microgram in nanograms?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.4 - 1.51. Let d = 65.987 - 66. Let f = j + d. What is f rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from {p: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3, -6\/5, 0.5, -0.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -3. Let o(h) = -25*h + 4 + 24*h - 3. Suppose 3*c + 35 = 5*k, 26 = 3*k + k - 2*c. Let p(j) = 2*j - 4. Give f*p(s) + k*o(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven quarters of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ufx when three letters picked without replacement from {z: 1, u: 1, h: 4, f: 1, x: 4, j: 4}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88145933 to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 0*h - 10 - 3*h)*(2*h - 2*h + 3*h)*(-5*h - 6*h + 7*h).\nAnswer: 24*h**3 + 120*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve 24*b + 2633 + 779 = -829*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -3*a + 15, -p + a - 20 = 5*a. Let s = -15 - p. What is the tens digit of (-10)\/(-35) - 397\/s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + 3*(-1*sqrt(85) + sqrt(85)) + sqrt(85) - (sqrt(85) + sqrt(85)*1)*-1)*-1)\/((sqrt(5) + 4*sqrt(5))*-2 + (sqrt(5) - sqrt(20)\/(4*sqrt(4)))).\nAnswer: 16*sqrt(17)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*l - 170, -141 = 3*l - 4*o + 23. Find the common denominator of -17\/10 and (l\/(-84))\/(3\/14).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 1\/840*r**6 - 1\/210*r**5 + 0 + 0*r + 1\/21*r**3 - 1\/168*r**4 - 4*r**2. Let n(i) = 0. Calculate i.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) -2\/7 (c) -1 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4453000 to the nearest one hundred thousand.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*p - 4 = 0, -2*p = -q + 3*p + 27. What is the units digit of 2 - (0 + 0)\/q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -2. Let v = 4 - w. Let b = 1.6 - v. What is b rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -6047.5265\nAnswer: 6047.5265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 924*o**5 + 29*o**3\/3 + 6*o - 7892. Find the third derivative of h(y) wrt y.\nAnswer: 110880*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + (9 - 7 - 95).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -669*c - 8790. Give g(-13).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2 + sqrt(475) - (sqrt(475) + -2)) + 5)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 1\/7, 5\/4, -1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7855 is divided by 53.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -1. Let p(r) = r - 11. Let n(y) = 5*f(y) - p(y). Let d be n(5). Calculate the remainder when 4 is divided by -3 - (-15)\/(3\/d).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -25b2 + 192?\nAnswer: -2420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 76 from 0.364858.\nAnswer: -75.635142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*i**2 + 2*i - 412*i**2 + 176*i**2.\nAnswer: -58*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9913 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 5 - 2*w + 5*w)*(3*w**3 - 51*w**2 - 53*w**2 + 6*w**2) - 19*w**3 - w**2 - w**4 + 19*w**3 to g + d*w**2 + r*w**3 + f*w + j*w**4 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 12*h**2 + 42*h - 42. Calculate the smallest common multiple of f(1) and 600.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 784.1865ms in seconds?\nAnswer: 0.7841865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**2\/4 + 2*f - 15\/4 = 0. What is f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000026275499 to seven decimal places.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1993843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/30445?\nAnswer: 3\/30445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110 + -1?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.5? (a) 33 (b) -5 (c) -1\/5 (d) -4 (e) -202\/5 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 18657950*v - 87029774550625.\nAnswer: -(v - 9328975)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + b - 2*b)*(2*b**3 + 4*b**3 - 5*b**3).\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 1\/7, 260849, 2\/17, -1, -2\/7, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -296 + 291. What is the nearest to 4\/5 in s, -1\/5, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5*j - 15 = 0, 28 = -4*n + 4*j + 8. Is -22 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 529.\nAnswer: -1\/529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 - 45*w + 42.\nAnswer: 3*(w - 14)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2 - 247644*r + 62966092 = 0. What is r?\nAnswer: -247898, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 64083 - 1.06.\nAnswer: 64081.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(108) - sqrt(12)) + -5*(sqrt(38)\/sqrt(2))**2.\nAnswer: -95 + sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.133 + 10.333. Put 1, -4, h, -12, 2 in descending order.\nAnswer: 2, 1, h, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -70*d**4 - 6*d**2 + 210?\nAnswer: -280*d**3 - 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6)*6\/22. Let f = 1212.204 - 1216. Let r = f - 0.204. Which is the nearest to -1\/4? (a) r (b) s (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.3 + -2.3. Which is the nearest to -3\/8? (a) o (b) -0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1954240 = -105*y - 50*y. Is 64 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 498 + 0*c**2 + 2*c**2 + 493 + 3*c - 986. Let j be -3*(-1)\/(-3)*2. Let v be t(j). Solve v = -3*h + 19 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(378\/(-1666))*((-36)\/42 + (-1 - -2)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-660)\/(-150)*5\/(-2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 5:33 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.415 less than 0.5?\nAnswer: -42.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5632 and 4457456?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 5*h**2 + 2*h - 4. Let d(t) = -t**2 - t + 2. Let u be 1*2 + 2 + -11. Let m = u + 4. Let i be d(m). What is q(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 85*c + 228. Let t be d(-6). Does t = -282?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 29 - 25 - 125*m.\nAnswer: -125*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -h - 7. Suppose 9*l - h = 7*l. Calculate the smallest common multiple of 1 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -261, -263, -279, -315, -377, -471, -603?\nAnswer: -779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uaoooouoaaooa. What is prob of sequence aaaa?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2380515 or 2380512?\nAnswer: 2380515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -11*v**3 + v + 2. Let h be k(-1). Let s be ((-4 + h)\/(-4))\/(-13). Which is the nearest to 0.4? (a) s (b) 7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 6*c**2 - 6*c - 4. Let u(r) = -7*r**2 + 7*r + 4. Let b(d) = 6*t(d) + 5*u(d). Give b(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123600114 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 29. Suppose -v + 1 = -5*c. Suppose -c*a + 5 = -5*b + 23, -14 = -3*b + 5*a. Put -2, -4, b in descending order.\nAnswer: b, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1763899018 to the power of 1\/3, to the nearest integer?\nAnswer: 1208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48328 times 12?\nAnswer: 579936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -13. Let i(p) = p**2 - 5*p - 6. Let q(t) = -t - 1. Let a(v) = i(v) - 3*q(v). Let h be a(-2). Solve h*j + 1 = -n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 18 = -u, 0*r + 2*r + 9 = 5*u. Let c(w) be the second derivative of -3*w + 1\/5*w**2 - 1\/30*w**4 + 0 + 0*w**u. Factor c(q).\nAnswer: -2*(q - 1)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65 + -51. Suppose -k*m + 9*m + 850 = 0. What is the common denominator of -113\/6 and 2\/(-12)*m\/130?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -138152, -138940, -139728, -140516?\nAnswer: -141304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.69011016001 and -27?\nAnswer: 23.30988983999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.2 + 6.9. Let v(d) = 0 + 1 + 0*d**3 + d**3. Let j be v(-1). Which is the nearest to j? (a) -3 (b) -3\/5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -739, -1467, -2193, -2917, -3639, -4359, -5077?\n\"Answer: h**2 - 731*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 26*d**2 - 28*d - 12. Let w be t(-27). Find the third derivative of -2*c**2 - 10 + 10 + w*c**6 - 38*c**2 wrt c.\nAnswer: 1800*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(2\/25))\/i**(-1\/5))\/(i**(-3\/5)\/i**(-3\/4)) assuming i is positive.\nAnswer: i**(97\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1761527419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-4 - (13 - 18)) - (1 - 18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**2 - 195*y + 700 = 0. Calculate y.\nAnswer: 4, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0.1. Is -0.6 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7751\/5 + 1549. Which is the second smallest value? (a) 0.5 (b) z (c) 2 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -1 + (-2)\/2*-3 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34 - -21) + 5 + -8.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*a**2 + a**3 + 5 + 2 - 8*a**2 - 2*a**2 - 3*a**2 to the form n*a + f*a**2 + t + q*a**3 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 7*w**2 - 5*w - 1. Let n(i) = -i**2 + i. What is 5*n(k) + o(k)?\nAnswer: 2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 10:29 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 2*b. Let a(k) be the second derivative of -67*k**4\/3 + 7*k**3\/6 + 178*k. Let c(z) = a(z) - 2*i(z). Find the second derivative of c(l) wrt l.\nAnswer: -532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106794?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zo when two letters picked without replacement from rcrrzog.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - l = -12, -4*l + 1 = f + 21 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-70))\/((-18)\/10*((-15)\/45)\/1).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -106935990 by 5.\nAnswer: -21387198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from erfawqa. What is prob of picking 1 e and 1 a?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 4*t + 552, 3*t - 115 = 3*j - 430. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/69318 and -94\/72056061.\nAnswer: 144112122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**3 + c**2 + 2*c. Let l be o(-2). Suppose y - 2386*w + 2390*w + 15 = 0, 0 = -4*y + 2*w + 102. Solve -y*g + 20 = -l*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -0.008, 2.\nAnswer: -3\/2, -0.008, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -1, 3584, 4, -11 in decreasing order.\nAnswer: 3584, 4, 2, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2170 + -2170.000006753. What is g rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3944 less than -297381.73?\nAnswer: -301325.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59244 or -59246?\nAnswer: -59246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 458 = 4*s + g, -2*g + 223 + 233 = 4*s. Let l = s + -65. What is the greatest common divisor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(30\/468*-49*12\/(-420)).\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1368, 2726, 4062, 5364, 6620, 7818, 8946?\n\"Answer: -2*u**3 + u**2 + 1369*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0. Let x = i + 3. Let u be (-6)\/(-4)*x\/(-9). Sort -1\/4, 1\/4, u.\nAnswer: u, -1\/4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -323 <= -360?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 420\/200*(-5)\/(-3)*((-230850)\/(-315))\/(-45)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o - 849 + 933 = 0. Suppose -3*y + 5*y = 6. Let p(k) = -k**2 - k**2 - 5 + k + 5*k**2 - k**3 + y*k**2. What is p(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54744367 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(3\/21 + (-32)\/28).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13367 and 2600.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 15, 3*r = -5*n - r. Suppose -3*k + o = -53, -3*k + n*o + 8 = -33. Calculate the remainder when 34 is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 15 = 5*l, 0 = -n + 5*l - l - 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-3*(sqrt(3) + 1))**2 - sqrt(3))*-4 + -3 + -3.\nAnswer: -152 - 68*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -10\/3*d**4 - 5\/3*d**5 - 5\/3*d - 10\/3 + 20\/3*d**2 + 10\/3*d**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 9 - (7 + -2)) + 2 + -9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*l + 39*l - 24640 = -20*l. What is the smallest common multiple of l and 144?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 2:22 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5874 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76658, 76635, 76596, 76541, 76470, 76383, 76280?\nAnswer: 76161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a minute in milliseconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*b - 268, -4*b + 5*d + 332 = 4*d. Solve -4*y = b - 88 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16357*r + 16261*r - 4117 = 2603 for r.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + 15 + -20 + 35.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 957.5743ng in grams?\nAnswer: 0.0000009575743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 553 = 2527. Is 29 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (-19 + 23 - 19)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 5*i + n, 0 = -i + 3*n + 2. Put -4, i, -2 in descending order.\nAnswer: i, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/726021 and -127\/60?\nAnswer: 14520420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -463 - 12\/(-3) - 5. Suppose 2*x = -2*x - 180. Let g = x - h. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*y - 1699 = -529, -q - y = -585. What are the prime factors of q?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 217*n**4 + n**2 - 7 - 1326*n - 217*n**4 + 1667*n**5 + 7 wrt n?\nAnswer: 100020*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -814759 (base 13) in base 15?\nAnswer: -3e681a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 283845, 567670, 851495, 1135320, 1419145?\n\"Answer: 283825*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5992 + -4636. Suppose -5*c - 1 = 3*f, 21 = -5*f + 2*c + 9. Is x\/f*(-9)\/(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 20\/(-30)*-3*(-74)\/(-4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -5*i - 32 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 9:44 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69 - 4. Suppose 4*v - z + 57 = 0. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**5\/60 - 34*c**3\/3 + 28. Let k(v) be the third derivative of b(v). Let n(m) = m. Determine n(k(l)).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*h + 18 = -73*h. What is the least common multiple of 82 and h?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10636092 divided by -1346.\nAnswer: -7902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 67*t**2 + 3*t + 2. What is the remainder when r(-1) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8213565439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5642669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 27 * 0.0568\nAnswer: 1.5336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a - 23. Let d be q(0). Let f = d - -11. Let h = f + 7. Let l(v) = -v - 8. Calculate l(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -2\/5 (c) -1\/78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*x = -0*x, 5*l + x - 9 = 0. Let n = 1 + -1. Suppose 0 = c - n*c + 2*o, -3*o - 9 = 0. What is the lowest common multiple of c and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 40*g + 6. Determine c(3).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8757 is divided by 62?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 10*f + 7. What is d(-8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7296530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11724 is divided by 974.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.015 + 6.015. Which is bigger: y or 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 179, 317, 511, 761?\nAnswer: 1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 424672875 a multiple of 3875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, 5, -29, 691, 1.2, 2\/7, 0 in increasing order.\nAnswer: -29, -1.1, 0, 2\/7, 1.2, 5, 691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 3, -4 in increasing order.\nAnswer: -4, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*p - 3*p - 2*p - 80. Solve p*t + 2*f = 1, -5*t + 16*f = 15*f - 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5079403249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -32*k - 47. Let x(j) be the first derivative of 8*j**2 + 23*j - 7. Let i(f) = -3*b(f) - 5*x(f). Find the first derivative of i(a) wrt a.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11714658.\nAnswer: 2, 3, 353, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*j + 44579 = -17021. Suppose 1128*r = j*r - 250720000. Round r to the nearest one million.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*h + 0*h = -11, -v - 3*h = -1. Suppose -v*b + 1848 = -1580. Suppose -497 - b = -2*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -3455, 91, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 6*v**2 + 4*v + 21. Let q be w(7). Is q less than or equal to 15\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3337 (base 14) to base 4\nAnswer: 2022211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 8 = 3*p. Let y(v) = 179*v**2 + 2*v - 4. Let a be y(p). List the prime factors of 2\/10 + a\/20.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4390643?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91981*j**3 + 91973*j**3 - 367904*j**3 + 91971*j**3 + 91977*j**3 - 32*j**2 + 145*j**2.\nAnswer: -2*j**3 + 113*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 134151900 rounded to the nearest 1000000?\nAnswer: 134000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 587777303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-25)\/20)\/5*-8. Let g be y + (1 - 0 - 0). Suppose 16 - 13 = -g*s. Put 3, s, 4 in descending order.\nAnswer: 4, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17305 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-2) - (-6)\/1. Let y be (-2 + 6 + 128\/(-40))*-5. Let h be (-4)\/(-8) + ((-2)\/y)\/(-1). Solve l = -h*l - f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -14.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**2*z**2 - 2*j**2*z + 1165599*j*z + 130742*z**4 wrt z.\nAnswer: 2*j**2 + 1568904*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 8.63. Let o = 5.17 - p. Which is the second smallest value? (a) 59 (b) -5 (c) o (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**2 - 2*x - x**4 + 1 - 3*x - 2*x to z*x**3 + y + j*x + q*x**2 + o*x**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*k + 495, 0 = -k + 10*d - 6*d - 118. Which is smaller: -95 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -31\/7613415?\nAnswer: -31\/7613415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 122, 59, -82, -331, -718?\n\"Answer: -5*d**3 - 9*d**2 - d + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3 = -u. Let w = 17 + -17.17. Let j = -0.23 + w. Which is the third biggest value? (a) 0.1 (b) u (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t = -8*t - 15. Solve -7*p - 5*g + 13 = -t*p, -2*p - 11 = -g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52137, 108807, 165477, 222147, 278817?\nAnswer: 335487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 175974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 108, -1, 0, -20 in ascending order.\nAnswer: -20, -1, 0, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*r = -0*q - 23, 5*r = -4*q - 13. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c - 5*c - 2*d - 11 = 0, 3*c - 4*d = 11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 719712569 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 1. Let t(x) = 204*x**2 + 187. Suppose 4*a = -5*j - 38, 0*j - 18 = 3*j. Give a*t(l) - 374*k(l).\nAnswer: -34*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9196200 is divided by 521.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -83375 and -2.\nAnswer: 166750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1969*t + 432 = -481*t - 1295 - 723 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 12, -7*y - 598 + 639 = -2*o for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -18. Let f(o) = -7*o - 1. Let n be f(c). Let i be 136 + n + (-16)\/(-4). What is the highest common divisor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4611.9 - -4612. Which is smaller: -0.1548 or m?\nAnswer: -0.1548","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*x - 12*x + x)*(-2 + x + 2) + (0*x - 2*x + 0*x)*(-x + 2 - 2) - 6*x**2 - x**2 + 2*x**2 - 2 + 2 - x**2.\nAnswer: -26*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**4\/6 - 4*d**3\/3 - d**2 + 4*d. Determine p(-10).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32900253709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 39, 75, 109, 141, 171?\n\"Answer: -z**2 + 39*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12460*b**6 + 293*b**2 - 4*b - 3?\nAnswer: -1495200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 6 = 4*a + a, -4*a + 3*q = 1. Let t = 19 - 8. What is the remainder when (83 + a)*2\/4 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(2*sqrt(500) - sqrt(500)) - sqrt(500)) + (0 + sqrt(500))*-5)*-1.\nAnswer: 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 628286 (base 11) to base 5.\nAnswer: 224202242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0117 + -0.0257. What is o rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**3 + 3*i**3 - 4*i**3 + (3 - 2 - 2)*(2*i**3 + 2*i**3 - 5*i**3) + i**3 - 13*i**3 - 10*i**3 to the form p*i**3 + w*i**2 + r + s*i and give p.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -128 - -131. What is i in -6\/7*i**2 - 6\/7*i**z - 2\/7*i**4 - 2\/7*i + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 250772*f*y**6 - f*y**2 - 3*f*y - 3240*y**2 wrt y.\nAnswer: 30092640*f*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/2 + -4 + -20. Let a = n - -39. Let s(l) = 2*l**2 + 2*l - 2. What is the remainder when s(-6) is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6378?\nAnswer: 2, 3, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (175\/(-1650))\/((-12)\/((-336)\/(-49)))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1170296 and 3642.\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 188 + 5*t + 15*t**2 + 2454*t**3 - 2455*t**3 - 229. What is b(15)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -397\/20 + 201\/10. What is the nearest to -1 in g, 0.2, 6\/13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1393.\nAnswer: 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*x + 0*x**3 - 9*x + 2*x**3 - 3*x**2 - 14 in the form u*x + m + r*x**3 + v*x**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4862 + 4898. Solve 26*r - 25*r - 5 = 0, 4*o - 4*r + l = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 - 52. Suppose -3*b + 4*b + 7 = -3*x, -3*b = -h*x + 10. What is the fourth biggest value in b, 2\/3, 3, 3\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42729 is divided by 280?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 127*h**2 + 6*h + 4*h + 697 + 705 - 1399. Does 35 divide b(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4202 - 28271 - 6479 = -1209*r - 414*r for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 3 - (-46)\/6*-3. Sort 3, -3, 7, t.\nAnswer: t, -3, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b - 563 + 1429 = 580 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 766, 764, 762, 760, 758?\n\"Answer: -2*v + 768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -383 + 373. Let v = p + 580. List the prime factors of v.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21241)\/(-1931))\/((1\/(-2))\/((-1)\/2))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23357 to the power of 1\/2, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/61418 and 43\/263220.\nAnswer: 1842540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggggghhghhg. What is prob of sequence hgg?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 5:00 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 4:00 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 1671 + 1659 = 0. Let c(g) be the third derivative of 0*g + 0*g**3 - 1\/4*g**5 - 3\/8*g**4 + 0 + n*g**2. What is the second derivative of c(x) wrt x?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7109 + 7108.8. Let j be 3\/(-1) - (2 + -2). Let m(x) = 10*x - 4. Let s be m(j). Which is smaller: s or v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -346*-0.09\nAnswer: 31.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (-8)\/(4 + 0). Suppose -4*r = -d, -3*d + 3*r = -l - 23. What is the lowest common multiple of d and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, 3559, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(51) - (sqrt(51) + sqrt(3264))))\/(sqrt(243) + (sqrt(243) + 5*sqrt(243) - sqrt(243))).\nAnswer: 4*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = -3*g - 43 - 43 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03214351496 rounded to six decimal places?\nAnswer: -0.032144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1085.56 to the nearest integer.\nAnswer: -1086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5403959655189 minus 0.02?\nAnswer: 5403959655188.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 100 (b) 3\/8 (c) -2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -d + 5*s, -2*d - 5*s = -3*s + 82. Let w be d\/5 - (-21)\/(-35). Let i be 549479\/35 - w\/15. What is i rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -42*p - 37. Suppose 225 - 232 = 7*n. Let b be a(n). Solve -4*s + 4*k + 32 = 0, -b*s + 2*k + 0*k + 31 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -b + 1075. Let t be (-2)\/9 - b\/45. Let m(i) = 4*i - 7. Let y(k) be the second derivative of -5*k**3\/6 + 4*k**2 + k. Calculate t*y(n) - 6*m(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(4*(sqrt(50)\/sqrt(5) + sqrt(10))).\nAnswer: sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 92177413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (17 - (0 - 2)) + (12 - -6) + -15. Solve -5*w - k = 2*l + 4, 5*w + l = -23 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 187.\nAnswer: -1\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**5 + 435*d**4*k - 1091*d**2*s + 3*d*k*s - 41*d - 2*k - 1516*s wrt d?\nAnswer: 20*d**3 + 5220*d**2*k - 2182*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201122110100 (base 3) to base 4.\nAnswer: 1132122033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -24, -41\/9, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -6. Suppose -2*x + r*x = -4, 11 = 5*h + 2*x. Let u(t) = t**2 - h*t + 3*t. Let i(w) = -w**2. Give u(i(k)).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -30130, -30135, -30140, -30145, -30150, -30155?\n\"Answer: -5*o - 30125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-535*a - 15*a - 618*a - 1164*a + 218*a)*(5*a**3 + 3*a - 3*a).\nAnswer: -10570*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17486, 17645, 17804, 17963, 18122?\nAnswer: 18281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2008 and 34?\nAnswer: 34136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -14 - -12*7\/28?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 27*j - 211. Determine b(33).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times 0.5475?\nAnswer: 0.027375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 0*j**2 + 3\/2*j**4 + 0 + 6*j + 0*j**3. Let q(l) = -2*l. Give a(q(h)).\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 - 10*q**3 + 6*q**2 + 10*q - 8.\nAnswer: 2*(q - 4)*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*6\/3 - 4*-7. Let w = 45 - j. Calculate the remainder when 70 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-212)\/265 - (254\/(-80) - (4 + -7)).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 - 1.2. Let t = k + 2. Let p be 1\/(-4)*4\/(-9). Put p, t, -2 in descending order.\nAnswer: p, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 5*v - 1 - 19 = 0, -a = -2*v + 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -13*t. Let d(w) = -37*w. Let k(j) = 6*d(j) - 17*q(j). Let b(h) = -130*h. Give b(k(p)).\nAnswer: 130*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 15*z + 49. Let l be c(0). What is the second derivative of -156*h + 14*h**4 + l - 12*h**4 - 49 wrt h?\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739375567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiak. Give prob of picking 1 k and 1 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27538033.\nAnswer: 727, 37879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151 (base 11) to base 16.\nAnswer: b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/9 - (-4)\/6. Let r be 1019*1*4\/28. Let p = -145 + r. Which is bigger: v or p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 15) to base 3\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**3\/3 + 4*y**2 + 4*y + 118. Suppose -1 = -4*x + 15. What are the prime factors of s(x)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*j = -108 - 27472, 27600 = 5*t - j. What are the prime factors of t?\nAnswer: 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/(-4*2)*-52 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - -4. Suppose -z = -5*f + 1, 2*f = x - 289. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 - 12)*(-o + 2 - 2) - o + o - 3*o in the form q + u*o and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 371e4 (base 16) in base 4?\nAnswer: 313013210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 17*y. Let j(w) = 20*w - 30. Calculate j(g(k)).\nAnswer: 340*k - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 6, l: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/13? (a) -28 (b) -32 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 211*x**2 + 45*x**2 - 30*x**2 + (-4 - 1 + 3)*(2*x - 2*x + 5*x**2) to the form s*x**2 + z*x + m and give s.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7271111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 5. Suppose -12*b + 13*b = 17. Solve -b + o = 4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98372, -196747, -295128, -393515?\nAnswer: -491908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/5 (b) 1\/4 (c) 0 (d) -0.25 (e) -25 (f) 5 (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - v - 18, j - 5*v = -0*v + 18. Suppose 10 = 2*w, -4*y - 7 + 0 = -j*w. Solve 0 = -y*h + 6*h - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54636 is divided by 59?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 238*h**3 + 9*h**2 + 9703*h.\nAnswer: 1428*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 21331130303 (base 4) to base 2\nAnswer: 1001111101011100110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 321771\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1342248667 equal to 1342248667?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 102*g - 105*g + 40 = 0, -11 = -q - g - 4 + 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5621541?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -u + a + 389, 0 = u + a + 77. Let o = 175 + -59. Let j = o + u. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -284 + 2588?\nAnswer: 2304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*d + 52 = 0, -5*m + 4*d = -2*m - 38. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66256 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 10*u**2 - 2*u + 7. Let d(j) = 5*j**2 - j + 4. Give 3*b(f) - 5*d(f).\nAnswer: 5*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 1085?\nAnswer: -1081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/10 - 1\/20. Let b = 9 - 11. Suppose 84 = -18*i + 39*i. What is the smallest value in i, -1\/3, o, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**4 + 4 - 4 - 3*q**4 + 2*q**4 - 2*q**4 + (3*q - 3*q + 5*q**2)*(2 + 2*q**2 - 2).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61183 by -4028.\nAnswer: 61183\/4028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*s - 2*s**2 + 0 + 0 as u + d*s**2 + p*s and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42966562?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 12*n**2 - n + 17. Is u(18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81b2 (base 13) in base 6?\nAnswer: 214454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -391, -5, 45, 3 in ascending order.\nAnswer: -391, -5, 3, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120596 by 3.\nAnswer: -120596\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(2\/17)))**(12\/17) assuming d is positive.\nAnswer: d**(24\/289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**4\/4 - 765*j**3\/2 - 384*j**2 + 765*j\/2 + 1533\/4 = 0. What is j?\nAnswer: -1, 1, 511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 16) to base 7\nAnswer: -562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 9*i**2. Let g(n) = 12632*n**2. Calculate t(g(q)).\nAnswer: 1436106816*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90 - 60. Let z = -21 + s. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 + 5*n. Let w(y) be the second derivative of -y**4\/12 - y**3\/2 - 7*y. Determine -10*w(s) - 6*z(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -47*z**3 + 17*z**2 + 21*z + 5. Is i(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/8, -4, -3, -1\/44?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((3*-3*sqrt(539) + sqrt(539))*-4)**2 + (sqrt(539) - (-5*(sqrt(539) + (sqrt(539) - sqrt(539)*4)**2) - sqrt(539))) + -1*sqrt(539)*-4.\nAnswer: 77*sqrt(11) + 576191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 103 = -3*s + 4*j, -4*j = 20. Suppose -3*y = 4*t + s + 9, 0 = -3*y + 2*t - 41. Let a = y + 20. Which is greater: a or 6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-3))\/(-2) - (-4408)\/57. What is the greatest common factor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9645 + -9640. Solve 0 = 3*r - v*c - 2 - 7, -2*c - 16 = 5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 4:18 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 3\/2 + (-19)\/(-38).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 10*f**2 - 20*f + 5. Let x(y) = 2*y. Let d(p) = -a(p) - 10*x(p). Let t(j) = 5*j**2 + 2. Determine 2*d(k) + 5*t(k).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2. Let r(p) = 59*p**2 - 9*p - 9. Let g(i) = 15*i**2 - 2*i - 2. Let m(v) = 9*g(v) - 2*r(v). Give t(m(o)).\nAnswer: 578*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1051130 + 6?\nAnswer: -1051121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 0.007454.\nAnswer: 0.059632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-132*b + 2 + 57*b + 59*b)*(3*b**2 + 2*b**2 - 3*b**2)*(0 + 1 - 14).\nAnswer: 416*b**3 - 52*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 132059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 325 divide 78975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 77699.007ns in days?\nAnswer: 0.0000000008992940625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from unnnnnnunn. Give prob of sequence nunu.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -8*s**3 - s**2 - s - 1. Let u be 0 + 0 - -3 - (-18 + 22). Let b be w(u). Suppose b*i = 425 + 79. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**5 - 35322*w**4 - 35332*w**3 + 317918*w**2 - 388557*w + 141292 = 0. What is w?\nAnswer: -4, 1, 35323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31758816763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0136229 millimeters to meters.\nAnswer: 0.0000136229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 9*f**2 + 8*f - 6. Let r = 61 - 56. Suppose -2*t = 3*h + 2*h - 30, 0 = -2*h - r*t - 9. Give v(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 179269209 and 19918801?\nAnswer: 179269209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a - 6. Suppose -15 = -4*l + 7*l. Let t be w(l). Find the third derivative of 0*b**2 - b**2 - 3*b**2 - b**t - 3*b**4 wrt b.\nAnswer: -96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2)*k**(2\/113))**(-1\/26))**2 assuming k is positive.\nAnswer: k**(224\/1469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6320745 divided by 985.\nAnswer: 6417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2568430 and 25430.\nAnswer: 2568430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1841160992?\nAnswer: 2, 11, 271, 19301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 4 + 0)*(-2 - 1 + 4)*(2 - 3 + 2)*(152 + 90 - 57)*(2*q**2 - 3 + 3) in the form p + d*q**2 + w*q and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 - -28. Let r = u - -2. Let d = 76 + r. Calculate the remainder when d is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221170 divided by -5?\nAnswer: -44234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12098 is divided by 26.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + k = -6883 + 6887, 7*l + 5*k = 4*l + 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -1)*5\/10. Is 3 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, 0.102, 2\/3, -1, -2\/5, -2\/3, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 445.9895l?\nAnswer: 445989.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 124, 3\/4 in descending order.\nAnswer: 124, 3\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 5*k + 7. Let j = k - 6. Which is smaller: 4\/5 or j?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4582426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90ba (base 12) to base 8.\nAnswer: 36516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/5)\/2*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -463532.8 to the nearest one thousand.\nAnswer: -464000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 1 in descending order.\nAnswer: 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1374 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 36632, 43557, 50482, 57407, 64332, 71257?\n\"Answer: 6925*i + 29707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*y**2 + 66*y**2 - 29*y**2 - 18*y**2 - 30*y**2.\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 m when four letters picked without replacement from chhhgchm?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -68 and -72.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70368523 to the nearest integer?\nAnswer: 8389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h - 12. Let n be j(8). Suppose 8*c - n = 4*c. Solve -c*v - 15 = -3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4682 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 11:13 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 30 = -11*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 21, 0 in descending order.\nAnswer: 21, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-69)\/(-46))\/((-18)\/9)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 58*c**2 + 58*c - 109. Determine a(-59).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.422 + 0.01.\nAnswer: 0.432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -50 + 641*l**3 - 13*l**2 + 49 + 14*l**2. Suppose 0 = 5*c - 4 - 1. Is j(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 20, 24, 24, 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 (base 7) in base 15?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64208 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**5\/3 - j**4 - 1159*j**3\/3 - 12305*j**2\/3 - 7050*j - 10000\/3 = 0?\nAnswer: -25, -10, -1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m + 2*m - 3*m)*(-1 + 1 - m) + (-m + m - 1 + 4*m)*(-8*m - 2*m - m) as c*m + a*m**2 + w and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0 = -28. What is the units digit of (9\/(-6))\/(q\/266)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*(b*b**(-4))\/b)*b*b)*b\/(b*b*b\/(b\/(b\/(((b\/(b\/b**5))\/b)\/b)))*b)*((b**(-1)*b)\/b)\/b**(-1))**(7\/10) assuming b is positive.\nAnswer: b**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*h. Let i be (-1353)\/(-24) - (2 + (-39)\/24). Suppose i = -3*r + 65. Solve h = -6*l + r*l - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzgppzzgpgzzwwv. What is prob of picking 2 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55.99477 + -56. What is o rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2857615835 to the power of 1\/2, to the nearest integer?\nAnswer: 53457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h**2 - 11*h - 40. What is t(-3)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39826968 to the power of 1\/4, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o + o + 2*o)*(o + 3 - 3) + 27*o - 60*o**2 - 16*o**2 + 3*o + 9*o**2 to the form x*o + l + z*o**2 and give z.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a + 0*a + 3 - 1 - 2*a. Let j(m) = 0*m + 2*m - 10 + 2. Let w be j(6). Let f(y) = -y. Determine w*f(r) - b(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -332000?\nAnswer: -331323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjfaihiwfajwjw. Give prob of sequence wj.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + g + 88 + 54 - 113, -3*r + 3*g - 9 = -4*r for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -74 at least -17756\/239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 + 174 - 100*c + c**2 - 86 - 124*c + 308*c.\nAnswer: c**2 + 84*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*g + 88, -5*g = -3*j + 4*j - 47. Suppose 24*h + 627 = j*h. What is the highest common factor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/13 + (-1635)\/(-65). Suppose -6*r = -r - v. Let o(d) = 2*d + 7. Let t be o(5). Solve -3*u = -3*x + 6, t = 4*u + r*x - 4*x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 11*m**2 - 10*m. Let a be d(10). Let j be 13*(0 + 1 + a). Suppose 2*o = 3*o - j. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15045 and 38940.\nAnswer: 661980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 215 + -83. What is the remainder when k is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -46, 612, 1976, 4046, 6822?\n\"Answer: 353*z**2 - 401*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10792 is divided by 149?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7150 + 10153. Is 39 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -624733 + -30?\nAnswer: -624763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5 + 1 = p, -3*p + 7 = -5*j. Let r(v) = 130*v**2 + 1. Is r(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 81 = 5. What is the remainder when 94 is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 2*o - o**3 + 5 - 8 + 3 + 2. Let a be g(-2). Let r be (2 - a) + (-1 - -7). Calculate the greatest common divisor of r and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-34)\/170 - 19\/5. Let d be o - ((-2)\/4)\/((-2)\/(-28)). Solve -3\/2*u**2 + 3\/2*u**4 - 1\/2*u**d + 1\/2*u + 0 = 0 for u.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 2:18 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-140)*14*(-5)\/(-9).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 4:36 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 46195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1432.674l in millilitres?\nAnswer: 1432674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19.43 - -12.43. Which is bigger: -204 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-223*r + 553*r + 652*r + 377*r)*(-2*r**4 - 3*r**4 + 2*r**3 + 9*r**4).\nAnswer: 5436*r**5 + 2718*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1496)\/(-5525) - (-2)\/(-50))*(-2)\/3. Which is the smallest value? (a) v (b) 1\/8 (c) -193\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-7))**4\/(k*(k**(-23)\/k)\/k*k**(2\/33)) assuming k is positive.\nAnswer: k**(-2\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -370521700 divided by 15503.\nAnswer: -23900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + 5*sqrt(17)*2 - sqrt(1088)*-4.\nAnswer: 43*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-1 - 0) + 1 - (17 + -17)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4195 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 14) to base 13.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 228\/(-54) + 14\/63\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7642 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4268.\nAnswer: 2, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5287*a - 6*g + 2*g + 30 = -5290*a, 5*g = 4*a + 39 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 36 = 5*v, 3*j + j - 39 = 5*v. What is the common denominator of v and 55\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 503*o = 400*o + 960 + 5735 for o.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2. Let h(k) be the first derivative of 59\/2*k**2 - 2\/3*k**3 + 0*k + 161. Determine o(h(d)).\nAnswer: 4*d**4 - 236*d**3 + 3481*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 4:12 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -181*g + 725. Let y be l(3). Suppose 0 = -7*o + 733 - 187. Calculate the greatest common divisor of o and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 4*r - r)*(193 + 75*r - 193)*(-3*r + 7*r - 2*r).\nAnswer: 300*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/1174514 and -85\/12172236?\nAnswer: 133894596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-3) + (-392)\/(-84). What is the third derivative of 134*r**4 - 208*r**2 - 264*r**o + 130*r**4 - 4*r**3 - 5*r**5 wrt r?\nAnswer: -300*r**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -128*u**4 - 49*u**3\/3 - 4*u**2 + 1925. Find the third derivative of z(t) wrt t.\nAnswer: -3072","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**4 + 376 + 3*i**4 + 479*i**2 + 392 - 768 - i + i**3 to the form h + f*i**3 + u*i + d*i**2 + g*i**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 15*n = -584 + 530. Solve 0 = r + 4*c + 4, 9*r = n*r + 5*c - 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -918 + 1046. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and -37.23.\nAnswer: 558.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -4)\/(6\/(-285)*-5). Suppose -2*l = 2*w - 10, 5*w + 0*w + 2*l = b. Suppose -w*h + 18 = 3*h. Solve 8 = 3*t + h*d + 38, -4*d = 2*t + 30 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 171349?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 7*q**5\/20 - q**3\/6 + 10*q. Find the second derivative of n(r) wrt r.\nAnswer: 42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -4. Let n = 2 - v. Let u be 2 - (-2 - (-30)\/9). Which is the nearest to u? (a) -2\/17 (b) n (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 0*m - 1\/6*m**3 + 1\/12*m**4 + 1\/2*m**2 + 1. Let k(v) be the second derivative of f(v). What is the derivative of k(z) wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 4:21 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -268*m**3 + 133*m**3 + 136*m**3 - 2033*m**2 to the form r*m**2 + l*m + i + f*m**3 and give r.\nAnswer: -2033","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + -1 - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1824)\/(-133)*203\/435?\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 2:06 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -2 + 1\/2*m**2 + 0*m. Let a(q) = 3*q - 2*q**2 - 3*q. Calculate a(k(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*o = 4, 3*y - 11 = -0*o - o. Suppose d - 2 = 2*n + 13, -5*n - 40 = -y*d. Does n = -28\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*q + 9. Suppose -5*z + 0*u - 3*u + 67 = 0, 72 = 5*z - 2*u. Suppose 0*y + z = 3*y - 5*x, -x + 26 = q*y. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 1. Let k be 0 - (82 - (g + -3)). Let d = k + 150. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21544005*d**3 + 89284*d**2 + 5*d - 3 wrt d?\nAnswer: -129264030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 31\/5 of a centimeter?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 17*a**2 + a. Let o(y) = -80*y**2 - 6*y. Let b(t) = -o(t) - 4*z(t). Let i(k) be the third derivative of k**5\/60 - 4*k**2. Determine b(i(g)).\nAnswer: 12*g**4 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 164813?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-138)\/(-805)*-7)\/((-1)\/10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2317 - 1558. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -44736, -45126, -45516, -45906, -46296, -46686?\n\"Answer: -390*w - 44346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 7*k + 135 + 153. What is the lowest common multiple of k and 744?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d**2 + 16*d + 65. Let c(m) = 3*m**2 + 12*m + 64. Determine 4*c(l) - 3*q(l).\nAnswer: -3*l**2 + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + o**2 + 1. Let p(s) = 6*s**3 - 3*s**2 + 92*s - 4. What is p(c) + 4*t(c)?\nAnswer: 2*c**3 + c**2 + 92*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2137, -1951, -1749, -1525, -1273, -987, -661, -289?\n\"Answer: z**3 + 2*z**2 + 173*z - 2313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/65)\/(-3*(-21)\/(-10))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000781258 to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6144 divide 104024064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 71233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -143923 in decreasing order.\nAnswer: 1, 0, -143923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 12*n + 2. Calculate the lowest common multiple of q(12) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lu when two letters picked without replacement from rlryutt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**4\/24 + 13*b**2 + 4. Let l(y) = -480*y**2. What is l(m(w))?\nAnswer: -480*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -82\/12369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*s + 2. Suppose -o - 3*p + 14 = 0, p = 3*o - 0*p - 12. Suppose -o*t + t = -12. Sort t, 2, s in decreasing order.\nAnswer: s, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*q - 91*q = 203 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) 0.1 (c) -2\/9 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/384*((-33)\/9 + 0 - -1).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -1\/7, 3\/16?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29523 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 276 - 94. Calculate the lowest common multiple of p and 26.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 + 202200210211?\nAnswer: 202200210111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -4. Let s = 0.7277 - 0.3277. What is the third biggest value in 2, s, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, 529, 0.43, -13\/10?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*w - 23*w - 3*w**2 - 120*w**2 as n*w**2 + j + y*w and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 149583 by -3041.\nAnswer: -149583\/3041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence it when two letters picked without replacement from giiguugitiuiigggg?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 7:51 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001907405 rounded to 4 dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -11209*u. Let h(y) = -2*y. What is w(h(g))?\nAnswer: 22418*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 1599*y**4 + 33*y**2 - 13*y - 5. Let d(t) = 8*t**4 - t**2 + t + 1. Let g(v) = 5*d(v) + q(v). What is the third derivative of g(r) wrt r?\nAnswer: 39336*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/11067 and -5\/1773576.\nAnswer: 54980856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -4. Let q = 3 - 4. Let c be (3\/1)\/(2 - 3). Sort c, f, q in increasing order.\nAnswer: f, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -35. Let v be 2 - k - (187484\/(-13560) + -4). Let w = -4\/565 - v. Calculate the common denominator of w and 33\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104784315 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3473*z**2 - 2*z + 145683 - 145683.\nAnswer: 3473*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 28 = -4*c. Suppose 0 = -5*q + u + 2060, -824 = -c*q - 2*u - 2*u. What are the prime factors of q?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-27))\/((-238)\/306).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - w. Let y = -73 + 72. Let d be b(y). What is the third derivative of 23*q**5 + 4*q**2 + 0*q**2 + 7*q**2 + d*q**2 wrt q?\nAnswer: 1380*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3074, -3062, -3036, -2990, -2918, -2814?\nAnswer: -2672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*w - 6*w. Suppose -2 + w = 4*k - x, k = -x - 2. Let y be k - 96\/(-46) - 2. Is 0.1 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 7. Let u be j(5). Suppose -u*z + 10 = 0, o + 5 - 25 = -3*z. Suppose -o*t - 2*w + 211 = 0, 5*t - 2*w + 6*w - 217 = 0. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9316 and 1507.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49*i**6 + 2309*i**5 - 315554*i**2 wrt i.\nAnswer: 5880*i**3 + 138540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 0 = -4*t. What is the lowest common multiple of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -2. Suppose -x = 7*x - 32. Let v be (-2)\/(0\/x - p). Solve -y - 4 - v = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 13 = -4*x. Suppose 0*z = 2*z - 12. Let s = z - x. Let k(d) = -8*d**2 - d + 1. Give k(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20974, 2\/15, -42 in decreasing order.\nAnswer: 2\/15, -42, -20974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u - 21. Let k(d) = d - 1. Suppose -2*p + 42 - 14 = 0. Let f(a) = p*k(a) - z(a). Differentiate f(y) wrt y.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 divided by 31?\nAnswer: 60\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.187 and 0.01.\nAnswer: 0.197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7 (b) 26979 (c) -78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 22 + 1 = 0. Let w(u) = -u + 40. List the prime factors of w(h).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -n, -2*n + 351 = 3*f + n. Suppose -362 = -9*b + 7*b. Let d = b - f. What is the remainder when d is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + 0*c + 4*c)*(-55 + 416 - 13 + 86).\nAnswer: -434*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 444*u**3 - 2*u + 1. Let d be a(1). Let o = -21 + d. Suppose -4*p + 5*z + o = 0, 3*z - z = 4*p - 416. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 14*a - 16 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*(sqrt(475) + 1 + sqrt(475) - (sqrt(19) + 1*(1 + sqrt(19) + sqrt(19))**2) - (sqrt(684) + -1 + -1)**2) + 4.\nAnswer: -87*sqrt(19) + 2292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*b**3*m**5 - b**3*m + 5*b*m**3 + 36*b*m wrt m.\nAnswer: -160*b**3*m**3 + 30*b*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 228554.082 rounded to the nearest one hundred?\nAnswer: 228600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 3*r + 181. Give p(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2. Let y(f) be the first derivative of -f**4\/3 + 3*f**2\/2 - 4. Let k(u) be the second derivative of y(u). Calculate k(g(i)).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4\/3, -2\/609 in ascending order.\nAnswer: -2\/609, 1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**6\/240 + 5*b**4\/12 - 5*b. Let o(d) be the third derivative of f(d). Let t(z) = 4*z**2. Determine t(o(x)).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -110817 and -0.07.\nAnswer: 7757.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k + 1982*k**2 + 2169*k**2 - 4147*k**2.\nAnswer: 4*k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggggggeggegeggeg. Give prob of picking 2 g.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 59*d**2*n*y + 96*d**2*y**2 + 4106*d**2*y + 7*d*n - 622*n*y**2 wrt n.\nAnswer: 59*d**2*y + 7*d - 622*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uc when two letters picked without replacement from {c: 5, v: 3, u: 1}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*1*(-6)\/168*-7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(6\/5)*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -418*n - 914*n - 1090*n - 1971*n - 1287*n.\nAnswer: -5680*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -29348.749.\nAnswer: 2934.8749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/(-2))\/(-5))\/(10\/12)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -132*c**2 + 5*c - 124*c**2 - 4*c + 237*c**2 as i*c + y*c**2 + z and give y.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1444799173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s = 7365292 + 157734708. What is s rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 1, 4, 3, 796 in descending order.\nAnswer: 796, 4, 3, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -92, -113, -142, -179, -224?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/11 + 7930\/55. Suppose 5*f = f + d. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.004 in -184168, 17, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*s**3 - 22*s**3 - 23*s**3 - 35*s**3.\nAnswer: -60*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 312, 372, 432, 492?\nAnswer: 552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-1) + 2)*36. Suppose 0*w - 2*w = -z. Let y = -5 + 11. What is the lowest common multiple of y and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(11))*2 + sqrt(99)\/sqrt(225) - (-3 + sqrt(55)\/sqrt(320)))**2.\nAnswer: 249*sqrt(11)\/20 + 90179\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**4\/3 + 1732*t**3\/3 - 124992*t**2 - 1732*t\/3 + 374978\/3 = 0. Calculate t.\nAnswer: -1, 1, 433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15796 is divided by 5205?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 828643, 828643, 828645, 828649, 828655, 828663, 828673?\nAnswer: 828685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -f, 6*f - 3*f = -4*p + 35. Sort -4, p, 3, 4 in decreasing order.\nAnswer: p, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5286.694mm in meters?\nAnswer: 5.286694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 o when three letters picked without replacement from {l: 3, i: 6, o: 4}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - -8. Let h(u) = 11*u**2. Calculate the remainder when h(-2) is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r. Let v(x) = -222675*x. Give v(f(s)).\nAnswer: 890700*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 16*z - 3. Let g(q) = 351*q - 65. What is -3*g(a) + 65*r(a)?\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15 - -17*(-60)\/255. Solve 4*l = -3*r - f, -5*l - 67*r = -70*r + 34 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 171 (base 12) to base 15.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 557931, 1115864, 1673797, 2231730, 2789663, 3347596?\n\"Answer: 557933*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26224686.\nAnswer: 2, 3, 1456927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -17)\/((-52)\/(-6) - 9).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 142 and 7739?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -1912*z + 5739. Let v be t(3). Solve -9 - 2 = v*x - 2*n, -4*x - 3 = -5*n for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9 - 7 - 3) + -7)*(-2)\/4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2 + p**3 + 0*p**3 - 6 + 4*p + 6*p**2. Let s be o(-5). Let k = 6 + -6.1. Which is the nearest to k? (a) s (b) -3 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.07 (b) 0.1261 (c) 1.669\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -7*d - 2. Let i be a(-4). Let u = i - 10. Do u and 17 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a. Let y(t) = 16975*t**2 + 36*t. Give h(y(m)).\nAnswer: -50925*m**2 - 108*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40 - 144*b + 42 - 82 to the form m*b + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-2 - 1) - -1. Let v be (0 - -4)*f\/4. Suppose -3 + 6 = -3*d - 3*q, 0 = v*d + 4*q + 5. What is the remainder when 1 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*w + 15 + 12, -3*x + 5*w = -41. Solve -6*h + x = -2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9 + (-2)\/((-38)\/119605). Calculate the greatest common factor of y and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1301 is divided by 140?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2 + 3*n + 3. Let v = 15 + -18. Let y(z) = -6*z**2 - 7*z - 7. Suppose 5*k - 3*m + 20 = 0, -11 + 33 = -k - 3*m. Give k*d(t) + v*y(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/20)\/(2\/(-5)). Suppose -5*d - 2*p + 10 = 0, 0 = -2*d + p + s + 2. What is the units digit of d\/(-7) - 2286\/(-63)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8810 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1609 <= 1613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4521, 17617, 39547, 70395, 110245, 159181, 217287, 284647?\n\"Answer: 14*r**3 + 4333*r**2 - r + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, b: 2}. What is prob of sequence bvv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one sixteenth of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**2\/15 + 1048*a\/5 - 25792\/3 = 0.\nAnswer: -1612, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25348791 or -25348777?\nAnswer: -25348791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6372 and 1652.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 605 is divided by 121.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -476280 by 245.\nAnswer: -1944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-5 + -3)*306\/504?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/((-14)\/(-300))*(0 - 2). Let g = -236 - h. What is the remainder when 255 is divided by g?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 26*n**2 - 11*n + 58. Let x(j) = -27*j**2 + 9*j - 43. Determine 4*x(c) + 3*z(c).\nAnswer: -30*c**2 + 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + 3*j)*(0*j**3 - 2*j**3 - 3*j**3) - j**4 + 5*j**4 - 3*j**4.\nAnswer: -14*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/5*q**3 + 0*q - 1\/5*q**5 + 0*q**2 - q**4 + 0 = 0. What is q?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/6*9\/6. Let y = x - 0. What is the tens digit of (y\/6)\/((-2)\/(-39))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 12*z - 2. Let t be f(0). Put t, 8, 1, 5 in ascending order.\nAnswer: t, 1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/60 and 5\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 15 = -3*f, -3*m - 1 = 4*f - 6. Suppose 0 = 5*b + m*c - 799, 2*c - 430 = -4*b + 210. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fnngnqnnpnnnonfofg. Give prob of picking 1 f, 1 o, and 2 n.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/1 + 2 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147571 (base 11) in base 15?\nAnswer: 4807a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 7*j + 2. Let w be y(6). Let p(m) = -2*m - 6. Let u be p(w). Calculate the greatest common factor of u and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3623001.\nAnswer: 3, 31, 163, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.4 + 0.4. Let z = -5.997525 + 1.9976. Let d = z - r. What is d rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24\/(-10)*(-160)\/48?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1800282?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s - 3. Let o = 15 - 9. What is the remainder when 9 is divided by c(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 + 16*r - 27. Let l be x(-9). Put -0.2, 2, l in ascending order.\nAnswer: l, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 3*f**5\/5 - 9*f**4\/4 + 2*f**3 + 11. Factor c(p).\nAnswer: 3*p**2*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/5 + 44*f**2\/5 + 106*f + 868\/5.\nAnswer: -2*(f - 31)*(f + 2)*(f + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1144 is divided by (111\/(-6) - 0)\/((-2)\/4)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*h - 118, 8*x + 4*h = 3*x + 229. Let n(y) = -14*y**3 - y**2 - y - 1. Calculate the remainder when x is divided by n(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -6\/17 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53*g*m*o**2 - 16178*g*m*o + 124*g*o**2 + g*o + m*o - 122*m + 1827*o**2 wrt o?\nAnswer: -106*g*m + 248*g + 3654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 100, 0.2, 5, -3, -3\/17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j**5 - 148*j**4 - 436*j**3 + 928*j**2 - 336*j = 0.\nAnswer: -14, -6, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140458, 280925, 421398, 561877, 702362, 842853?\nAnswer: 983350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6379*v**2 - 3926*v**2 - 588*v**3 + 587*v**3.\nAnswer: -v**3 - 10305*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + g - 2*g)*(-5 + 0 - g**2 - 9).\nAnswer: -g**3 - 14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 7*z - 4)*(-3 + 1 - 2)*(-9*z**4 - 42*z**2 + 42*z**2 + (3*z**3 + 0*z**3 - 4*z**3)*(-z - 2*z - 3*z)).\nAnswer: -84*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/(u**(-32)\/u))*u**(-33) assuming u is positive.\nAnswer: u**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.1, -4, 1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 10 + 12 + 3*d)*(-3 + 3 + 3*d**2) + (1 - 3 + 0)*(-5*d**3 + 3*d**3 + 0*d**3) + 2*d**3 + 0 + 0.\nAnswer: 21*d**3 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36752\/(-32158))\/(8\/630)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3943*h**2 + 4249*h**2 - 12690*h**2 + 4034*h**2.\nAnswer: -464*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 146259 and 57192686.\nAnswer: 5417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2564.8 + 2565. What is the biggest value in h, -1\/4, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*q - 44, 2*q + 10 = 14. Solve -4 = -6*b - c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + y + 1. Let z(g) = -6*g**2 - 7*g - 6. Let v be ((2 - (-30)\/(-4)) + 5)*-4. Give v*z(d) + 14*m(d).\nAnswer: 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 6. What is the closest to h in -1, 2, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*f - 28 = 0. Let i(z) = 6*z + 0*z - f*z. Let g(k) be the third derivative of -k**4\/12 + k**2. Give g(i(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (141 - 216 - 151)*(3 + 0 + 2)*(0 + 0 - 1)*((3 - 2 + 0)*(2*m + 0*m + 0*m) + 1 - m - 1).\nAnswer: 1130*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25\/2 or 18\/1305397?\nAnswer: 18\/1305397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 180.79 to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*l**4 - 6818440*l**3 + 9545970*l**2 + 28637640*l + 12273255 = 0. What is l?\nAnswer: -272739, -1, -3\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**5\/4 + 2235*l**4\/8 - 22935*l**3\/8 + 46635*l**2\/8 + 22941*l\/8 - 24435\/4 = 0 for l.\nAnswer: -1, 1, 3, 15\/2, 362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 35555768 divided by 8888942\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 765 + 4?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5831076?\nAnswer: 2, 3, 485923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*(-5*i + i + 7*i) + 3*i - i - i - 2 - 1 + 1 - 2*i.\nAnswer: -4*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 43\/2 - (-2)\/(-4). Let h be -18 - (-3 + (-1 - -4)). Let o = v + h. Which is smaller: o or 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 264517 and 7863369.\nAnswer: 86497059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15281 - 27913. Let b = a + 12631.2991. Let y = b + 0.7. What is y rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -129 + 80.7. Let b = 50 - 2. Let i = z + b. What is the second smallest value in -1\/5, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -514 divided by 406838?\nAnswer: -257\/203419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -645.\nAnswer: -1\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 923*k**2 - 101*k**2 - 382*k**2 - 439*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010100100010011111100 (base 2) in base 3?\nAnswer: -100011021201021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, h: 1}. What is prob of sequence eee?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -75 - -70 - (-2 + -15).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 9*f - 4. Let j be (-132)\/18 + (-2)\/3. Let t be i(j). Suppose -2*l = -3*l + t. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1801359429 to the nearest integer?\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 9*f**2 - 6. Let m(y) = -y**3 + y**2 - 1. Let r(l) = -g(l) + 6*m(l). Find the third derivative of r(d) wrt d.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1259a + 1c1?\nAnswer: 1277b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3*o - 20, -39 = -11*u + 9*u + 5*o. Let a(y) = 15*y**3 - 2*y - 4*y**2 - 16*y**3 + 2*y**2 + 4 + 5*y. Let j be a(-3). Which is bigger: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -136 + 4?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 22. Let q be (6\/z)\/((-4)\/(-6)). Put 3, q, -5 in increasing order.\nAnswer: -5, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/12317904 and 151\/146275110.\nAnswer: 1170200880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -161 + 569. Let d be 5\/2*j\/(-85). Suppose -4*c - 4*n = -3*n - 399, 0 = -2*c + d*n + 203. 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: Is 2914 a factor of 105254903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 l when two letters picked without replacement from {t: 5, n: 5, l: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1207.98403 to one decimal place.\nAnswer: -1208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -775*w - 9181. Determine m(-12).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**15\/h**(-2\/51) assuming h is positive.\nAnswer: h**(767\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 4. Let o be -9599 + (1 - 2\/l). What is o rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**4 - 6*l**2 - 93*l + 456. Let w(k) = k**2 - k - 3. Let m(v) = q(v) + 6*w(v). What is the derivative of m(d) wrt d?\nAnswer: 4*d**3 - 99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*x - 35 = 0, 14*z + 5 = 5*x + 164. Calculate the least common multiple of 539 and z.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -15*q**2 + 36*q + 317. Give z(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 16435940 to the nearest one hundred thousand.\nAnswer: 16400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**5 + 872*l**4 - 46640*l**3 - 96800*l**2 = 0.\nAnswer: -2, 0, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -9*a + 1. Let c(x) be the first derivative of -x - 29. Calculate 2*c(p) + 2*d(p).\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -170.1 + 170. Let q = -4 - -3.8. What is the closest to z in 0.5, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -9. Let x = g + 9. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84175 is divided by 618.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 891 is divided by 280?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/16)\/(1\/2). What is the closest to 2 in -2, g, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 + 6*q. Let h(z) = -4*z**2 + 96*z - 6. Let w(l) = -10*l**2 + 222*l - 14. Let v(a) = 7*h(a) - 3*w(a). What is 3*s(x) - 2*v(x)?\nAnswer: 2*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -811*h + 3248 = n, -n = 5*h + 1464 - 1488 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 5*o + 5*k, o - 2*k + 9 - 15 = 0. Solve 7*v = o - 30 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/4)\/((-8)\/32). Suppose 3*z - 1 = -p*g, -11 = 5*z + 4. Suppose -3*q + 1759 = g*w, 4*w - 1170 = -9*q + 7*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*1601.\nAnswer: 480.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -42471 + 22?\nAnswer: -42448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 + (-5 - 0) + (-14 - (-66 - 15))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.094 times 67950?\nAnswer: -6387.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/4*(0 + -8). Suppose 2*d = 6 - 0. Let m(l) = l**d + 3*l**2 - 3 - 6*l + 1 + 0. Determine m(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k - 8. Let a = -7 + 9. Suppose a*q + 0*q - 14 = 0. Give u(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-711)\/24 + -11)*(-2)\/10 and (-34)\/(-48)*(-12)\/(-9)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pivztitizztpvvtt. Give prob of sequence iii.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -23*j - 110. Give p(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 - 48. Which is the nearest to -0.1? (a) -0.4 (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 7. Let q be b(-6). Let g be (q\/(-2))\/(1\/2). Let a = 0 + g. Which is smaller: 2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11334547 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 4*a**2 - 3*a + 12. Determine o(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 7*o**5\/4 + 145*o**4\/4 - 175*o**3\/4 - 2965*o**2\/4 - 888*o + 315 = 0.\nAnswer: -21, -3, -2, 2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 550 + 2355362?\nAnswer: 2356242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1593109 * 1.\nAnswer: 1593109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 26. Suppose 0 = z + f*z. Let j(x) = x**3 - 12*x**2 - 12*x - 19. Let w be j(13). Put z, w, -2 in descending order.\nAnswer: z, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.8257 + -11.8. Let h = 0.3257 - n. Which is the second smallest value? (a) -0.4 (b) h (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4190 = 421*n + 5464 + 2134 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 7*l**2 + 4*l - 8. Let s = 32 - 18. Suppose 46 = 6*u - s. Let h = u - 16. Determine k(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3336 or 0.1?\nAnswer: -3336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 10:13 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -741*s**2 - 9*s - 1089. Let o(b) = 556*b**2 + 7*b + 816. Let m(h) = -9*o(h) - 7*x(h). Differentiate m(k) wrt k.\nAnswer: 366*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 8 = 4*g. Let j(r) = g*r + r**2 + 0 - 2 - 5. Let d be j(-5). What is the smallest value in 0, d, -1\/15?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*v - 371 = 724. Solve -11*o - v = -59 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - (3 + 0))*2\/4. Suppose 5*i - h = 2*s, 0 = 2*s + s + 5*i - 22. Solve -1 = s*r + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 6*k - 3. Let a be c(6). Let x(i) = -i**3 - i**2 + 4*i. Determine x(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -810, -3211, -7212, -12813, -20014, -28815?\n\"Answer: -800*d**2 - d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1721054 + -1051459. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 42\/31369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.11 - 4.11. Suppose -428*k - 713 - 1227 = -40*k. Sort k, y, 51 in increasing order.\nAnswer: k, y, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094900627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12189, -28580, -44971, -61362, -77753, -94144?\nAnswer: -110535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -11 + 15 + -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 298*a. Let f(r) = 12*r. Give y(f(w)).\nAnswer: 3576*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*((w**5*w)\/w)\/w)**(-24)*(w**1)**47 assuming w is positive.\nAnswer: w**(-73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26, 335, 1180, 2831, 5558?\n\"Answer: 45*n**3 - 2*n**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 1200 and 50455\/42 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13 - 12970\/(-25) - 9\/5 and 58.\nAnswer: 15370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(-2\/5))**(-8\/7)\/((v*v*v**(-2))\/v**(-12\/11)))**(-47) assuming v is positive.\nAnswer: v**(69372\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 14*g - 8. Let t be v(1). Which is the biggest value? (a) t (b) -3 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16290317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 271?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*-46726.6.\nAnswer: 654172.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 + 55.06. Let t = 0.09 - v. Let z = t + -0.03. Which is the smallest value? (a) 2\/19 (b) -0.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 3:56 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5737628 to the power of 1\/3, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -55*b - 330. Let m be p(-6). Let y = -4 + 6. Solve -4*q - y*t - 6 = -0*t, -5*q + 2*t - 3 = m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140 divided by 7.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*h**2 - 295*h + 1085.\nAnswer: 5*(h - 7)*(4*h - 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -13 - -2 - (8 + -14 + 1). Let o(r) = -7*r**3 - 12*r**2 - 12*r - 10. Let b(f) = 3*f**3 + 6*f**2 + 5*f + 5. Let h(u) = 5*b(u) + 2*o(u). Determine h(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73821726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14 or 174?\nAnswer: 174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 181184112 and 89784?\nAnswer: 181184112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27506776799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1397*n**4 + 3169*n**4 - 432*n**4 + 7337 + 3458*n**4 - 2559 wrt n.\nAnswer: 30368*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424933 to the power of 1\/2, to the nearest integer?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -3*h, 38 = a - 3*h - 33 - 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f. Let c(o) = -o + 60. Give r(c(h)).\nAnswer: -2*h + 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 690398393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 302234 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/((-1925)\/66)*-5)\/((-18)\/(-210)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 = 3*p + 4*j, 5*j = -39*p + 7*j - 6*j - 65 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**2 - 1225*m + 93681. What is x(147)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 24291.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, m: 2, j: 1, n: 1, w: 2, a: 1}. What is prob of picking 1 j and 1 w?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1726.45 and 77.4?\nAnswer: 133627.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 7*v**2 - 297*v - 2085. Calculate f(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 m, and 1 w when four letters picked without replacement from {s: 3, m: 1, c: 6, e: 1, w: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -711, -1428, -2147, -2868, -3591, -4316?\n\"Answer: -l**2 - 714*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -715599.44 to the nearest 100.\nAnswer: -715600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -24*s - 207. Calculate the smallest common multiple of q(-9) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**3 - 3*y**2 + 8*y + 39*y**4 + 1 + 8*y**3 - 43*y**4 - 6*y in the form p*y + v*y**4 + z*y**2 + n + b*y**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14d72d + 10?\nAnswer: 14d73d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -261781100 divided by -256900\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (-12)\/(-14)*(-98)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 2*l**4 - 3*l)*(-2 + 2 - 2) + l**4 - 3*l**4 + 0*l**4 + (-5 + 5 + 2*l**2)*(l**2 + 0*l**2 + l**2).\nAnswer: 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.668 + 6.66772797. Round c to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -201 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * 1.4\nAnswer: 0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + d - 12 = -d, 0 = -3*s - 4*d + 28. Let k be 1 + 4\/16*s. Find the second derivative of 2*g + g**2 - k*g + 4*g**2 + 4*g wrt g.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4816*h + 1060.\nAnswer: -4816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 5*i**2 + 4*i + 5. Let x be s(4). Let p = x - 5. Solve p = -w - 3*w + 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 23 = d + 8, -4*d - 76 = -4*i. Calculate the remainder when i is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1116 divided by -5\nAnswer: -1116\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 3)\/(6\/32). Let k be (-20)\/u - -1*2. What is the closest to -1\/3 in -2\/7, -5, k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*i = 4*x - 161, 5*x + 3*i - 197 = 0. Let f = 80 + -116. Let y = x + f. Solve y*w = 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 247*68.\nAnswer: 16796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**6\/120 - y**5\/60 + y**4\/24 + y**3\/6 + 190*y**2. Give q(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -367103, -1468412, -3303927, -5873648, -9177575, -13215708?\nAnswer: -17988047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8.452337m?\nAnswer: 845.2337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*(3 + 1 + sqrt(1300)) + 3)**2.\nAnswer: 720*sqrt(13) + 11844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 j when three letters picked without replacement from yjyyyyyyyyyyyjyyyyy.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**3 - 61*a**2 + 23*a - 157. Determine b(15).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 7. Let k be d(-3). Let q(t) = -16*t - 5 + 9*t + 11*t. Calculate q(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13247 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - -100f?\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2202 by -11.\nAnswer: 2202\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffpybuuyfbyffyyyuy. What is prob of picking 1 y and 1 b?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1279 - 75*a**2 + 1277 + 27*a**2.\nAnswer: -48*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3))**(1\/21)*v\/v**(-2\/9)*v\/(v\/(v**(-5)*v)) assuming v is positive.\nAnswer: v**(-58\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -122.528+-38.59\nAnswer: -161.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 6*r - 20. Calculate the remainder when 8 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 50 in 1, 0.62, -5, -148, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2224 - -2317 - (18 - 22 - (1 - -5)).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 1:11 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1264\/3 + -420. Put s, -3, -1, 0.1 in ascending order.\nAnswer: -3, -1, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3, -2\/9, -1, -1\/12, -321?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428298.\nAnswer: 2, 3, 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2 + (-4 - 1 - 1)*(4 + 1 + 3))*(-u + u - u**4).\nAnswer: 49*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 872.7046 millimeters in nanometers?\nAnswer: 872704600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -13*m**2. Let a(z) be the third derivative of z**4\/24 + 2*z**2 - 552. Calculate a(h(s)).\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*b**2 + 237*b**3 + 64*b**3 + 136*b**2 - 274*b**2.\nAnswer: 301*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4849866 and 6310?\nAnswer: 24249330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2. Suppose 0 = 2*b - 6*b - 16. Let y be (10\/6)\/(b\/(-12)). Let v(w) = y*w - w - 3*w. Calculate f(v(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -270, -1128, -2474, -4242, -6366?\n\"Answer: 11*f**3 - 310*f**2 - 5*f + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -11*g**2 - 9*g + 11. Let v = 26012 + -26025. Let n(u) = 5*u**2 + 4*u - 5. Determine v*n(m) - 6*z(m).\nAnswer: m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148 = -5*y - 138 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18977901?\nAnswer: 3, 6325967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (28\/(-70))\/(24\/(-5)). What is the second smallest value in 0, -1\/4, -0.5, d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**4\/12 + j. Let y(v) = -v + 2. Let p(m) = -9*m + 17. Let n(x) = -6*p(x) + 51*y(x). What is n(g(a))?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -368*l*m**2*t - 8*l*m**2 - 2*m**2*t + 12*m**2 - 37*t wrt l?\nAnswer: -368*m**2*t - 8*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8555, -13301, -18047, -22793, -27539?\n\"Answer: -4746*t - 3809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -170636549 * -1.\nAnswer: 170636549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 16. Let m = 15.8 - x. What is the closest to -0.2 in m, 5, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/24*(8\/10 + 1924\/(-370)) and -29\/440.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68103 and 21896?\nAnswer: 9262008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 - 20. Let s(o) = 35*o + 1. Let r(w) = w + 1. Let l(p) = 2*r(p) - s(p). Let y be l(-1). What is the greatest common factor of y and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.45 - 167.85. Let c = 149.5357 + d. What is c rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36852362257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**2\/9 + 64*b\/9 + 256\/9 = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-5*-5*(1 + sqrt(832) + -1))**2.\nAnswer: 520000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*l**3\/2 + 90*l**2 - 543*l\/2 + 99.\nAnswer: 3*(l - 2)*(l + 11)*(7*l - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 296025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c + -22774b?\nAnswer: -22775a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 43*u + 7. Let v(p) be the first derivative of -9 - 10*p - 65\/2*p**2. Let y(m) = -7*d(m) - 5*v(m). What is the derivative of y(b) wrt b?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 8 = 12. Suppose -3*u + 3*m + 9 = -6, -3*u + 23 = l*m. Find the second derivative of d - u*d - 7*d + 14*d**2 + 2*d wrt d.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s**4 + s**4 - 773*s**2 - 659*s**3 + s + 659*s**3 in the form n + o*s**4 + k*s**2 + h*s**3 + c*s and give k.\nAnswer: -773","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**5 - g**4\/12 - 35*g**2\/2 + 42*g. What is the first derivative of f(l) wrt l?\nAnswer: 60*l**2 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52280 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 213018401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-18)*k**(-15)*k*k**21*k\/(k*k*k*k**(-21\/2)))**(8\/9) assuming k is positive.\nAnswer: k**(284\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.3 + 9.8. What is the nearest to 0 in 4, -0.6, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10201\/12 + 2513\/3. What is the common denominator of 5\/((-100)\/69) + -3 + 6 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74457954 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.07 + -1.93. Let m = x + 2. What is the smallest value in -4, m, 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 - 55. Calculate the highest common factor of 77 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 748.73133 seconds in hours?\nAnswer: 0.207980925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 + (-3)\/1 + 5. Let n be (10\/d)\/(0 + 2 - 1). Solve 16 = -3*b + n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20102719367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -132 and -0.06.\nAnswer: -132.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1719573 or -1719556?\nAnswer: -1719573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -461 - 292 + 6*g - 287 - 4*g + 322 to u*g + a and give a.\nAnswer: -718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5674, -22751, -51220, -91087, -142358?\n\"Answer: -q**3 - 5690*q**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*k**4 - k**2 + 4 - 17*k**2 + 18*k**2 wrt k?\nAnswer: 56*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 13*y**2 + 16*y + 3. Determine z(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/8*(1 + 0) + 5. Suppose 2*m - 4 - 6 = 0. Let w = -4 + 6. Solve -w = s*k - m*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((3 + -4)*-3)\/1. Suppose -7*m + h*m = -20. Suppose m*o + 0*o + 230 = 5*w, 246 = 5*w - o. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o - 6 + 6 + 9*o - 11*o**2.\nAnswer: -11*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -204, -879, -1998, -3561, -5568, -8019?\nAnswer: -10914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.3 * -2579759.\nAnswer: -44629830.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2*18\/3. Let a = v + -3. Let b be (-2)\/8 - 2\/(-8). Is a bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1785\/102)\/(50\/60).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(-2)\/(-6)*1\/10. Suppose 2*o - 5 = -3*w - 42, -4*w + 3*o - 21 = 0. Let r be 6\/(-8)*(-6)\/w. What is the biggest value in 2, r, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6066393 a multiple of 1306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1036*b = 1348*b + 2869 + 6803 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1830814.\nAnswer: 2, 41, 83, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -156.76028?\nAnswer: 156.46028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**4 - j**4 - j**5 + (j + j - 4*j)*(-2*j**3 - 2*j**4 + 2*j**3) + 0*j**5 + 9*j**5 - j**5 + 0*j**5 - j**5 - j**5 - 3*j**5 - 2*j**2 + 5*j**5 + 6*j**2.\nAnswer: 11*j**5 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1244*k - 1242*k - 28*k**3 - 54*k**3 - 38*k**2 + 28*k**3.\nAnswer: -54*k**3 - 38*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -4. Let j(d) = 3 - d**3 - 6*d**2 + 7 - 9*d + 2*d**p + 0. Let o = -1962 - -1969. What is j(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1440)\/70)\/(-6))\/(18\/(-63))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-12) - (2 - 6\/18). Which is the nearest to -0.3? (a) -2\/63 (b) q (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 5, n: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 q, and 1 w when three letters picked without replacement from {q: 4, h: 1, d: 5, u: 3, w: 4, c: 3}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1559?\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-401)\/37 - (-5 - -2). Let k = 11593\/74 - t. Let v = k + -603\/4. Calculate the common denominator of -99\/2 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 19*v - 103. Give m(-24).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - p = 80 + 296, -2*p = 3*i - 326. Suppose 0 = -2*v - 3*v + 7840. What is the highest common divisor of i and v?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**2 + 153. Let f be q(0). Suppose 2058 = 160*s - f*s. Is 14 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 40 = 5*x, 4*x = 3*x + 2. Let j be 36\/n - -2*4\/20. Suppose -j*a + 16 = 5*h, -h - 2 = -a + 2. Solve -s + h*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10276415, -10276418, -10276415, -10276406, -10276391, -10276370, -10276343?\n\"Answer: 3*d**2 - 12*d - 10276406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1117.1? (a) 0.113 (b) -28 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 1\/3 (c) 9\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.13 - 8354391.\nAnswer: -8354392.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 307*k + 1554. Let a be h(-5). Solve -13*p + 10*p + a = -4*m, -4*p = -3*m - 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 86\/3?\nAnswer: 86\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g + 21. Let b(w) = -w + 10. Suppose q - 4*s = 3, q - s - 3 = -0. Let d(a) = q*u(a) - 7*b(a). Let t(h) = -h - 4. Give 4*d(c) - 7*t(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -217, -229, -255, -301, -373, -477, -619?\n\"Answer: -a**3 - a**2 - 2*a - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2 = 6. Let c(t) = -9 + 831*t**3 + 823*t**3 + 5 - 10*t + 5*t**2 - 1653*t**3 - 18. Let x be c(-6). Solve x*z + d*u + 8 = -2*z, -u = 4*z + 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 42 - 12. Suppose g = w + 3*p - 12, -33 = -w + p. Solve 10 = -4*f + w for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4645 divided by 2449.\nAnswer: 4645\/2449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32169 at least as big as 32168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20125, -40733, -62327, -85399, -110441?\n\"Answer: -82*h**3 - h**2 - 20031*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 42\/6 + -9 + 21\/15. Which is the fourth smallest value? (a) j (b) 0 (c) -6 (d) 0.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.441 - -8.709. Let o = b + -9. What is o rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 7. Let d = v - -6. Let n be (2\/5)\/((-6)\/(-30)). Which is the closest to 0? (a) d (b) 2\/9 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*j**2*l**3 + 91*j**2*l - j**2 + 2*j*l - 174*l**4 + 33*l**2 wrt l.\nAnswer: 54*j**2 - 4176*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-27*(-2)\/18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 o when two letters picked without replacement from {n: 2, a: 1, k: 2, o: 1, t: 1, l: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -50. Let s = p + 44. Let g(z) = -8*z**3 - z**2 - z. Determine g(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 4 = -r, 160 = 40*r - 1634*y + 1637*y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 6447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 544*n**2 - 5*n + 8. Is i(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 146 - 1090. Let w = -123 - n. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197*b = 198*b - 7. Solve 2*c - 18 = -4*p, 4*p = 2*c - b*c + 27 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -969430 divided by 8813?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-141)\/(-54)*-2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -162.2 and -11.\nAnswer: -173.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-57)\/(-4) - ((-30)\/(-24))\/5?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7220557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -209*c + 50. What is the hundreds digit of r(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 222 and 8639870.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -258322.303?\nAnswer: -258321.303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.18865 and 717329.3552.\nAnswer: 717329.16655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1927206351?\nAnswer: 3, 7, 73, 101, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1836.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 3 + (-4 - 1 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 3*d**5\/20 + 17*d**4\/12 - 459*d**2\/2 + 12*d + 2. Differentiate a(k) with respect to k.\nAnswer: 9*k**2 + 34*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4*i + 1)*((-3*i + 4*i - 3*i)*(-i**2 - 1 + 1) - i**2 + i**2 + 2*i**3).\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25925923\/8 + 3236444. Suppose 0 = 2*r - 3*c - 8584, 5*c - 903 = -r + 3363. Let s = p + r. Calculate the common denominator of s and -67\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkqmqimkkbkbkkkkkk. Give prob of sequence ikqb.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 + 1110*c + 2200.\nAnswer: 5*(c + 2)*(c + 220)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -527 - -524. Let b be -3 - (2 + p)*3. Solve b = 5*z + 15, 4*w - 2*z + 6 = -0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 12:43 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -6488, 5, 0, 2, 4, 1 in descending order.\nAnswer: 5, 4, 2, 1, 0, -6488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 315\/1 - 24\/8. Suppose 984 - b = 14*s. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 8*k. Let o(y) = 9*y. Let h(w) = -6*n(w) + 5*o(w). Let s(m) be the third derivative of 0*m + 0*m**3 + 2*m**2 + 1\/12*m**4 + 0. Give s(h(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*t = -12. Let z be 40\/t - (-8)\/(-12). List the prime factors of z\/((-2)\/(-3) + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 6*l + 71. Let p be f(-8). Calculate the greatest common divisor of p and 1127.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2865, 2868, 2875, 2886, 2901, 2920?\nAnswer: 2943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = k - 4*f - 2447, 5*f = 2*k + 992. Let p = -1260 + 1034. Let b = p - k. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 5:09 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10054 rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 23*y - 20*y, p = 2*y - 7. Suppose -2*c = c. Solve s = p - c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + (-240)\/(-117))\/(22\/(-198)). Which is the second biggest value? (a) -2 (b) 0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21671 + p + 268*p**3 + 10842 + 10828 to the form b*p + h + z*p**2 + v*p**3 and give v.\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**3*h**4 + 2*d**3 - 37*d**2*h + 213*d*h**6 - 3*d*h**2 wrt h?\nAnswer: 48*d**3*h + 25560*d*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -316*n - 173*n - 47 + 26 + 19 to t + m*n and give m.\nAnswer: -489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6891 times 0.4\nAnswer: -2756.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 2c?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 186, 189, 196, 207, 222?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31218155 is divided by 3121812?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -285 - -281. What is the common denominator of 51\/2 and 57\/p + 17\/(34\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -2 (c) -4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 120 and 0.479.\nAnswer: 57.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4008 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 + -4)*(-2)\/(-8). Which is greater: 2 or u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 7*i + 198 = 0. Let s be (-2)\/(-6) - 1008\/27. Let h = s - i. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -334432 (base 5) in base 8?\nAnswer: -27133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008766776 rounded to 7 dps?\nAnswer: 0.0000877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1426, 1418, 1396, 1354, 1286, 1186?\n\"Answer: -y**3 - y**2 + 2*y + 1426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 272944322 to the power of 1\/3, to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qgqgqqg.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 815120923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 2, 1415, 6, -3, -9, 5 in descending order.\nAnswer: 1415, 6, 5, 2, -3, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*b - 296 = 246 - 26 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/9 - 5054*s\/9 + 20248\/9.\nAnswer: -2*(s - 4)*(s + 2531)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -1\/71, 34\/7, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179557 - 4*g - 3*g + 11*g.\nAnswer: 4*g + 179557","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 398606.64916 minus -0.0097?\nAnswer: 398606.65886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9476 and 1439570?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 4*i + 215, 4*p + 18*i - 294 = 16*i. Calculate the greatest common factor of p and 2263.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -19917 and 166?\nAnswer: 20083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.575897 to 2 decimal places.\nAnswer: 0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x - 4755 = 24*x. Let i be -2*1*x\/6. Let s(w) = -317 + i + w**2. Let m(t) = -17*t. Give s(m(r)).\nAnswer: 289*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = b, b = 3*b - 4*i - 30. Suppose 0 = u - z + b, 0 = 3*u - 2*z + 5*z + 9. Does 31 divide u\/15 + 628\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2. Let w(m) = 3 - 6 - 29 - 3*m - 30. What is w(q(p))?\nAnswer: -6*p**2 - 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 358 - 698 = -l - 0*l - 348 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*z**3 + 229 + 225 - 460)*(-2*z + 0*z + 3*z) to the form s*z**2 + k*z**4 + b + j*z + q*z**3 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - 2*f + 30, 2*y - 152*f + 30 = -148*f for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 5:43 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 16. Let z be -2 + b + 9\/(-1). What is the tens digit of (z\/4)\/((-9)\/84)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-9) - (-4)\/6. Let u(m) be the first derivative of 1 + 1\/4*m**h + 0*m + 1\/6*m**3. Factor u(b).\nAnswer: b*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/((6\/(-3))\/(-1)). Suppose 6*h = 2*h. Solve h = -o - 1 - d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 600165*k**3 - 730851 with respect to k.\nAnswer: 1800495*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 92368*h - 739200.\nAnswer: 4*(h - 23100)*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-59)\/59)\/((-1)\/(-4)) + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 38*z - 566. Suppose -5*d - 3*b = -76, 2*d - 7*d = -b - 88. What is the remainder when d is divided by i(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 983775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -222*b**2 + 2*b. Let v(j) = -448*j**2 + 5*j. Determine 5*m(a) - 2*v(a).\nAnswer: -214*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = -11*j + 238. Let z be j*1\/5*(46 - 31). Solve -3*u - z = -5*g, 2*u - 3*g + 6*g + 4 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q. Let y(n) = -5*n + 14. Let z(g) = -6*g + 12. Let r(x) = 6*y(x) - 7*z(x). Calculate r(s(w)).\nAnswer: 36*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2224125 is divided by 130828?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.3 (b) -2 (c) 284\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -61. Suppose -215 + k = -3*b. What is the remainder when b is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 6:00 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 9, 5, 12294, -1, -1\/2, 0.2 in increasing order.\nAnswer: -7, -1, -1\/2, 0.2, 5, 9, 12294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 305504, 305503, 305502, 305501, 305500?\nAnswer: 305499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3783306 and 1284.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**3*w**3 + 965*f**3*w - 75*f*w**4 + w**2 wrt w.\nAnswer: 12*f**3*w - 900*f*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 38\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28137292.\nAnswer: 2, 7034323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 344 + 41015132?\nAnswer: 41015506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 698.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (10\/1680*-40)\/(9\/(-27))\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 1782*c**2 - 3*c + 5. What is the thousands digit of b(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 74857560 and 434?\nAnswer: 524002920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0348? (a) 0 (b) 0.1 (c) -5 (d) 1\/8 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4) + 54\/12. Suppose -11*o + 2 = -5*y - 10*o, 0 = -4*y + v*o + 11. Which is greater: y or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4 - 5*y**2 - 4*y**3 + 0*y**2 + 5*y**3 + 2*y. Let u be 6\/(-36) - (-3)\/(54\/75). Calculate r(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 1. Let z(o) = o**2 + 3*o - 10. Let q(l) = 2*f(l) + z(l). Let b be q(-4). What is the tens digit of b - 21\/3 - -65?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*50.8\nAnswer: -50.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 5 - (-8 - -12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -6*k + 9. Let u be (-2 - 4)*(-6)\/9. Suppose 0*i - i = 4*j - 1, 4*i = -u*j + 4. Put k, i, -2 in descending order.\nAnswer: k, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 12 - (2 + 2) - -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 609*p - 9523 = 502*p. Solve -p*r + 66 = -100*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 5*c = -22, 0 = -120*c + 117*c + 15 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 125 + 5*o**2 + 12*o - 5*o**2 + o**2 + 2*o - 137. Determine s(-14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9527614 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -98395 - 531*a**4 + 98395 + (2*a - 1 + 1)*(3*a**3 + a**3 - 5*a**3).\nAnswer: -533*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*b = 9. Let u be (-7 - 1)*b\/12. Let i(p) = -13 + 13 + 0*p**u - 2*p**2. Let r(d) = 9*d. What is i(r(q))?\nAnswer: -162*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -148950 at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6205958, -6205959, -6205962, -6205967, -6205974?\n\"Answer: -a**2 + 2*a - 6205959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3628252?\nAnswer: 2, 907063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -9. Let n = 1 + a. Are n and 0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a second in milliseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o - 7*o - 53*o + 9*o - 83*o.\nAnswer: -143*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 1149*x - 1143*x + 36 = 0, g = x + 6. Suppose 3*b = -2*b - 5. Sort b, -4, g, 12 in ascending order.\nAnswer: -4, b, g, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 22*n - 1674. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c8 (base 14) to base 16.\nAnswer: -174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2*v = -32, 138*q + v - 17 = 136*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 216\/(-1404) + (-32)\/(-39). Put 3\/5, -4, i, -2\/11 in ascending order.\nAnswer: -4, -2\/11, 3\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -16\/5 (c) 2 (d) -4 (e) 1480\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -789*l**3 + 17*l**2 + 17*l - 174. Let r(o) = -263*o**3 + 6*o**2 + 6*o - 58. Let u(s) = 6*c(s) - 17*r(s). Find the first derivative of u(m) wrt m.\nAnswer: -789*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44741*i + 44719*i = -154 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/1799154 and -38\/5109.\nAnswer: 23389002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + 0.29. Let o = -17.81 - y. Let g = -17.974 - o. What is g rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -101 - -228. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47378134 to the power of 1\/4, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 915.\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/18 (b) -5 (c) -54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 8*m = 8*m + 323. Which is smaller: m or 27?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 2*j + 7. Let n be a(0). Let v(u) = 702*u + 103. Is v(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12505 is divided by 236?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -99040 (base 11) in base 16?\nAnswer: -231b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -q**3\/3 + 3*q - 1. What is d(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83125990 a multiple of 676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 646202?\nAnswer: 2, 323101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15030 + 4?\nAnswer: 15034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 14*k**2 + 2. Let p(v) = 39*v**2 + 6*v + 3. Let g(i) = -2*i**2 - i. Let o(h) = 6*g(h) + p(h). Let c = 15 + -11. What is c*o(y) - 7*j(y)?\nAnswer: 10*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/35, 1\/2, -0.02.\nAnswer: -4\/35, -0.02, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88490321?\nAnswer: 17, 61, 85333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50493972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 11647.79888206.\nAnswer: -11649.79888206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7192 + -0.0128. Let o = 0.731999392 + j. What is o rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 15*r**2 + 18*r - 29. What is a(11)?\nAnswer: 653","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3038 a factor of 376340930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -0.5. Let b = g + -86.5. Let d = -70.942 - b. Round d to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12230333223 (base 4) to base 5.\nAnswer: 422212123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.782512mg?\nAnswer: 0.000000000782512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 103 + -17363?\nAnswer: -17260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwggwwxwxgwgg. What is prob of sequence xgg?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 times -0.309?\nAnswer: 24.411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -523 - -4705\/9. Let h = 15 + -15. Suppose h = -4*k + 3*k. Is k at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37314 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117532326 to the nearest integer?\nAnswer: 10841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -9. Suppose 9*t + 18 = x*t. Let a = t + 12. What is the least common multiple of a and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 9:50 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 697*z - 1877*z - 4720 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*t - 27, t + t - 41 = 5*b. What is the highest common factor of 13 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 47 = -25. Suppose -5*y = -d*y - 2086. What is y rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10417704?\nAnswer: 2, 3, 11, 39461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 7:13 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 30 - 6. Put w, -4, 4 in descending order.\nAnswer: 4, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -15 (b) -1 (c) -11 (d) 2 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.07 - -14.67. Let l be (14\/12 + -1)*-1. Which is bigger: l or w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (62\/(-12) + 9\/54)*1. Let k be (26\/5)\/(-1 + (-4)\/c). Let g = k + 102. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.98 + 16.8. Let n = 0.82 - j. Which is the nearest to 0.1? (a) -12 (b) -2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240) + sqrt(240) + sqrt(240) + sqrt(240)*-2)\/(sqrt(192)*-2) + 1.\nAnswer: -sqrt(5)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a898c (base 13) to base 7.\nAnswer: 11621446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000033366 to seven decimal places.\nAnswer: 0.0000334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*r + 18*r - 41*r - 10*r.\nAnswer: -69*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 7:20 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/4 of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1168.9 + 1169. Which is the fourth smallest value? (a) -0.5 (b) 6 (c) p (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.862 rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 122. Let j(z) = -74*z. Determine j(s(c)).\nAnswer: 74*c**2 - 9028","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 5 + -5 - (12 - (-1 + 11)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 102 = 5*x + 13, -212*x + 6*j - 172 = -204*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/6*0 - -6. Let h(k) = 5*k + 1. Let f be h(c). Let a = f + -19. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1122 + 2?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/3 - 2\/(-3). Let s be (a\/(-3))\/(9\/27). Suppose 0*i = -s*i + 2. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 4*l + 1. Let a be h(-2). Let k be (a - -5)*-2 - (-111)\/27. What is the third biggest value in 0, 2\/5, -0.2, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**6\/30 - q**4\/24 + q**3\/6 + 2*q**2. Let u = -16979 - -16980. Determine j(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83813 < 84156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/175)\/((-36)\/(-270)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c + 4 - c - c**2 - 5*c. Let j be d(-4). Solve j = 3*x + 2*x + 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 7*w - 2. What is f(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1342784472?\nAnswer: 2, 3, 55949353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/49151107 and -13\/10287441.\nAnswer: 442359963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6794577, -13589151, -20383725, -27178299, -33972873, -40767447?\nAnswer: -47562021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-21) + 36\/21. Suppose 3*g - c*g = 1. Let l = g - -3. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 189 or -1007.7?\nAnswer: -1007.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/271, -3, -0.04 in increasing order.\nAnswer: -3, -0.04, 5\/271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -221?\nAnswer: 3\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -6.186.\nAnswer: -43.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-4*-6*(sqrt(252) + -1 - sqrt(252)))**2*4*4 + -1.\nAnswer: 82943","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14951207?\nAnswer: 31, 307, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h + 3. List the prime factors of u(6).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*a*v + 34*a + 91*v wrt a.\nAnswer: 3*v + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 9 = -1. What is the closest to 0 in 11, -0.4, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 4*x - 13 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1214591298?\nAnswer: 2, 3, 41, 4937363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g + 5. Let r be x(1). Is ((-318)\/(-24))\/(r\/(-4))*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/6*(-1)\/(-5)*-1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.2833181 minutes?\nAnswer: 16.999086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -290750.077 to the nearest 1000.\nAnswer: -291000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**3 + 7*h**2 - 6*h + 5. Suppose 99*o = -5*r + 94*o + 25, -5*o = -5*r + 15. Calculate u(r).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k**3 - 4*k**3 + 35 + 2 + (-7*k + 3*k + 2*k)*(k**2 - 4*k**2 + 4*k**2) to the form q*k**2 + h*k + s + f*k**3 and give s.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3387724, -3387713, -3387694, -3387667?\nAnswer: -3387632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 1080\/(-210) - (-7 + 5 + -3)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 - 20*g**2 + 15*g - 14. Let i be q(-18). What is i rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 2*j + 31 - j)*(0*j - 15*j - j) - 16 + j**2 + 16.\nAnswer: -15*j**2 - 352*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*d + 120*d - 104*d.\nAnswer: 195*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s. Let x(t) = 939788*t. Give x(p(r)).\nAnswer: -2819364*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*m - 2*m**2 + 9*m)*(-3 + 0 + 0)*(-m + m + 2*m) to the form p*m + h + x*m**3 + y*m**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24 + -135196?\nAnswer: -135172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -126 - 7?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -11154*r - 328*r - 5363*r - 2 + 483*r + 1010*r as w + k*r and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbyyfbbbbefmymtbbffy. What is prob of picking 2 f and 1 b?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a kilogram in grams?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 11*n + 6. Let x be p(9). Let r(q) = -q**3 - 12*q**2 + 2*q + 1. Give r(x).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 28 - 25. Let c be -5*(-357)\/(-85)*-1*j. Suppose 4*a - 20 + 4 = 0. Solve -3*q = -2*l - 5, q + l + c = -a*l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, -2, 273, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*u - 64*u + 3*m - 5756 = 0, -2*m + 28754 = 5*u. Is u a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*t - 2 - 13, -5*w - 5*t + 25 = 0. Suppose 5*n + 2 - 25 = -3*l, 0 = -w*n + 5. Let j(o) = o**3 - 7*o**2 + 5*o - 1. Determine j(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4610 + 4610.003. Which is smaller: h or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 - -1.1. Let c be 0\/((-2 - 2)\/2). Let q = -0.13379 - 0.06621. Put y, c, q, 2\/5 in decreasing order.\nAnswer: 2\/5, y, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -725 - -728. Solve 2 = -m - q*y + 7*y, -4*y = 5*m + 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6228 + 6227. What is the nearest to 3 in -0.1, u, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/6*(150\/56)\/(64\/(-112))*4.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -1463750076 - 4.6\nAnswer: -1463750080.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/3987 and -11\/3987.\nAnswer: 3987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o**3 + 2*o**2 - 3*o. Let b = 8 - 9. Let h(p) be the first derivative of 0*p + 1\/3*p**3 + 1\/4*p**4 + 5 - 1\/2*p**2. Calculate b*q(w) + 3*h(w).\nAnswer: -2*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a hour in seconds?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y. Let d(q) = -q + 9. Give d(h(i)).\nAnswer: 4*i + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 4*w + 9 - 21.\nAnswer: -4*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 27dc8 (base 14) to base 12\nAnswer: 491a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*m = -2*l + 3, 0 = 5*l + 4*m - 27. Let p(k) = -l*k + 4 - 11 + 9*k. Let w(o) = -5*o + 6. Give 4*p(z) + 5*w(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 + (53 - (61 - -63))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3067 - 1666. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 22, 1\/3, 0.05?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90261517 is divided by 63.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2048000, -4096009, -6144018, -8192027?\n\"Answer: -2048009*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -15*r. Let x(u) = -59 - u - 54 + 113. Calculate b(x(n)).\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 4)*(2*v + 6*v**3 - 2*v)*(-2*v - 3*v + 3*v) in the form j + y*v**2 + t*v**3 + o*v + u*v**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3322599 + -409.4159599. Let a = 0.0837 + z. Let y = -409.0000231 - a. Round y to 6 decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 3. Let o(j) = 4*j - 11. Let a(f) = 2*o(f) - 9*y(f). Determine a(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2\/13, 0, 18 in decreasing order.\nAnswer: 18, 2, 0, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + sqrt(448) + 4*sqrt(448)*-1 - ((sqrt(448) - 1*-2*sqrt(448) - sqrt(448)) + 4)**2.\nAnswer: -1806 - 152*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*x**3\/5 - 578*x**2\/5 + 978*x - 1566\/5.\nAnswer: 2*(x - 87)*(x - 9)*(3*x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/17, 2, -1\/4, -6\/35, 11 in ascending order.\nAnswer: -1\/4, -6\/35, 4\/17, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**5\/10 - w**4\/3 + 2*w**3\/3 - 3*w**2\/2 + 15*w. Let p = 1 + 2. What is the remainder when 79 is divided by a(p)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*1\/(-3)*0. Suppose 0 = u - s - 5. Let l = u + -1. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**2\/2 - 3*b - 33. Let c(h) be the first derivative of -h + 2. Calculate -6*c(g) + q(g).\nAnswer: -g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + w = -0*w - 4598, 0 = -3*j - 3*w + 4590. What is the units digit of (-1)\/(2 + j\/(-764))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -113.427\nAnswer: -340.281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 + b**2 - 4*b**2 - 2*b + 2*b + 3*b**2 + (3 + 1 - 6)*(0 + 2*b**2 + 0).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6759689 or -6759685?\nAnswer: -6759689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15228 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 19*v**2 - 43*v - 33. Give i(22).\nAnswer: 473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q**2 - 30*q - 248. Calculate j(-7).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2288*z**4 - 194*z**3 + 3*z - 360057?\nAnswer: -27456*z**2 - 1164*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135 = -23*f - 26 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**4\/12 + 3*g**3\/2 - 4*g**2 - 11*g + 15. Calculate d(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14119382*u**2 - 1682943*u?\nAnswer: 28238764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-7 + 12)) + 25\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8287.284mm to meters.\nAnswer: 8.287284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 1. Let k be c(-1). Suppose 0 = -q - 3*h + 91, 0*q + q - 111 = k*h. Suppose 2*z + 247 = 5*a + z, 0 = -2*a - z + q. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 - -7518070?\nAnswer: 7518086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fysu when four letters picked without replacement from {s: 3, y: 7, f: 3, u: 2}?\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 24 = -15*g. Suppose g*f + 3*t + 498 = 0, -3*f - 160 = -2*f + 3*t. What is f rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 10*g - 7 + 7 in the form a*g + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 150 - 145. Let n(j) = -13*j**2 + 4*j**2 - 1 - 3 + c*j + 10*j**2 + 0. Let p(v) = -2*v**2 - 14*v + 11. Determine 11*n(o) + 4*p(o).\nAnswer: 3*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 0*r - 2\/3*r**3 + 0*r**2 - 5. Let d(m) be the second derivative of -7*m**3\/6 + 2*m. What is s(d(b))?\nAnswer: -98*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 minus -4039?\nAnswer: 3988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26 - -223216?\nAnswer: 223160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x + 12*x - 32580 = 8*x. Calculate the lowest common multiple of 6 and x.\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50016 and 11136?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 - -10039394570?\nAnswer: 10039394570.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1052 is divided by 326?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -715 - 714 + 18*h + 1427 to i + m*h and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 74436612 divided by -24812204\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u**2 - 10*u - 4. Let z(d) = -4*d**2 + 5*d + 2. Suppose 2*m - 5*m + 15 = 0. Let y(b) = m*z(b) + 3*w(b). Give y(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*i - 4*i - 11*i in the form p + u*i and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -87?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(19) + 1) - sqrt(19)) + (sqrt(19) - sqrt(2299)*1 - sqrt(19)))**2.\nAnswer: -54*sqrt(19) + 1548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*v = -2, 0 = -q - 4*v - v - 13. List the prime factors of (-15 + 14)\/(q\/(-102)).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + sqrt(2057) + sqrt(2057) + -3*(2 + sqrt(2057))**2).\nAnswer: 330*sqrt(17) + 18564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 639489 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**6\/27 - 2*t**5\/45 + t**4\/6 + 2*t**3\/27 - 2*t**2\/9 + 25. Suppose u(r) = 0. Calculate r.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 12 = -3. Let h = 116 - 126.6. Let k = h + 11. Which is the third smallest value? (a) i (b) k (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-109)\/((-39567)\/66) - 67\/308?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 4)*(81*t**3 - 421*t**3 - 689*t**3) in the form q*t**3 + y*t + a + b*t**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -26126.67 to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1387 - -5?\nAnswer: 1390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z - z**3 + 14 + 21 - z**2 - z. Let t be r(0). Suppose -n + t = 9. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q + 2*q**3 + 0*q**3 + 0*q**3.\nAnswer: 2*q**3 - 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -8, -3\/5, 69430?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/15 and -65\/1799994?\nAnswer: 8999970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -22598422 and 0.0302042.\nAnswer: -22598421.9697958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244559 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 47437 to the nearest one hundred.\nAnswer: 47400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 584422730?\nAnswer: 2, 5, 59, 990547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(700)*1 + sqrt(700) - sqrt(700) - 2*sqrt(700)*-2 - 5*4*(-3*sqrt(700) + sqrt(700)))**2 + -3.\nAnswer: 1680697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1075.9 to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*n = -28*n - 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a. Let q(t) be the third derivative of 8*t**2 + 0*t + 0 + 0*t**4 + 0*t**3 + 7\/60*t**5. Determine q(r(z)).\nAnswer: 63*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-3)*(1 + 5). Suppose -4*m + 2 = -o*m. What is the derivative of 3*r**4 + m - 4*r**4 - r**4 wrt r?\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.92 + -0.02. Let d = 3.85 - x. Let b = -0.25 + d. What is b rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/76796832 and 5\/30170184.\nAnswer: 844765152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 4. Suppose 6 - 15 = -3*k, -5*d + i*k = -4. Suppose 5*s - 3*n - 8 = 0, 0 = d*n - 3*n + 4. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4229, 8455, 12683, 16913, 21145, 25379, 29615?\n\"Answer: h**2 + 4223*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 0, -7 in increasing order.\nAnswer: -7, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*q = -26, 3*q - 13 = 2*o + 5. Let h = o - -5. Find the first derivative of h - 3 - 2*a + 0*a wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172658 a multiple of 372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4*sqrt(99))**2.\nAnswer: -7920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from {z: 3, j: 1, r: 1, s: 5, g: 1, c: 3}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/(-3))\/(1\/(-3)). Find r such that -2*r**2 + 17*r - 2*r**2 - k*r = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150668727 rounded to the nearest 1000000?\nAnswer: -151000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13867 is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-20)\/25)*12\/5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 971736511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 34344 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**2 - 79*x - 17. Let v be u(20). Suppose f = -0*f. Suppose 4*r = 3*s + s - 8, -5*s - v*r + 2 = f. Let j(p) = 7*p**2 + p - 1. Give j(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -11*x**8\/336 - 7*x**4\/24 + x**2 + 15*x. Let c(i) be the first derivative of g(i). Find the second derivative of c(o) wrt o.\nAnswer: -220*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -129\/2 + 64. Which is greater: f or -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5212747 rounded to 4 decimal places?\nAnswer: 0.5213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*t + 10 + 12, -3*z - t = -11. Let w be z\/9 + 64\/36. Let i = 9 - w. Solve 5*n - 25 = -5*b, -1 - i = -4*n for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 2?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 464\/5*q + 224\/5*q**3 - 48 + 692\/5*q**2 + 12\/5*q**4 = 0?\nAnswer: -15, -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, e: 3, x: 3, p: 5, b: 3}. What is prob of picking 2 b and 2 p?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (-133 - (-275 + 63))?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 4:05 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10168 by 190.\nAnswer: 5084\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 2*b**6\/15 - b**5 - b**4\/3 + 10*b**3\/3 + 10*b + 5. Factor z(v).\nAnswer: 4*v*(v - 5)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*d - 16 + 11 + 0 in the form o*d + q and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 0)*(-3 + 3 + 2)*(10*w + 11*w - 2*w).\nAnswer: -114*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 9*c + 5. Let a(l) = l**2 + 19*l + 10. Let p(j) = -2*a(j) + 5*f(j). Let v be p(-7). Let s = 209 - v. List the prime factors of s.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120012 (base 3) in base 14?\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 174\/505 or -1?\nAnswer: 174\/505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*t = 1001, -3*f + 801 = 3*t - 240. Suppose -20474 = -547*a + 3594. What is the remainder when f is divided by a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + 3. Find the common denominator of (141\/9)\/(c\/6) and (5\/2)\/(2\/(-5)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11808, -10993, -9636, -7737?\n\"Answer: 271*g**2 + 2*g - 12081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 43381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 3, 4, 136, 0, -0.056?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 8:24 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31491060 and 120348?\nAnswer: 94473180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0060859 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (10\/26)\/(12*175\/(-840))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140 and 356.\nAnswer: 12460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 1:28 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -7*n - 31. Let z be w(-5). Suppose 0 = -3*i + y + 77, 2 = y + 4. Factor z*x**3 + 5*x**2 + x**4 - 23*x - i*x + 50*x.\nAnswer: x*(x + 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2844178130653 and 10.\nAnswer: -2844178130643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 4313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0077 - -6.0077. Put b, 4\/9, 0.2, 4 in descending order.\nAnswer: b, 4, 4\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 14*c + 150 = 0. Calculate the smallest common multiple of c and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, w: 1, e: 1}. What is prob of picking 1 w and 1 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 - 36*d**2 - 27*d + 66.\nAnswer: -3*(d - 1)*(d + 2)*(d + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 400520 and 358360?\nAnswer: 6808840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0.1, -3, -4, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 + 38 = 2*u. Suppose -2*i - i = -3*n + 84, -3*n - 4*i = -84. Let b = u - n. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -21 - 7) + -10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 303309856?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8237272 and 2389.\nAnswer: 8237272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2054, 0, 15, 75, -3 in decreasing order.\nAnswer: 2054, 75, 15, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1\/o)\/o**(-5))**(-3\/7)*(o**5*o**(2\/23))\/(((o*o\/o**(2\/7))\/o)\/o)**(-20) assuming o is positive.\nAnswer: o**(-446\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + (sqrt(136) + sqrt(136)*1)*3 + sqrt(136) + sqrt(136) + -1*(sqrt(136) + 1*sqrt(136) - sqrt(136)))\/(-2*sqrt(32)*-2).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5 + -1*sqrt(931) - (1 + sqrt(931)*3))**2 + -2*sqrt(931)*6 + -6*(1*sqrt(931))**2.\nAnswer: -308*sqrt(19) + 9329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -8, -0.2, -4, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101110 - 111011111?\nAnswer: -1101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2 + 14*u - 21. Let q be 19 - (2352\/12)\/14. Calculate w(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -17*s + 21. Let n(o) = 4*o - 5. Let k(x) = 18*n(x) + 4*p(x). Let h be k(6). Calculate the greatest common factor of 36 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171873 and 4068?\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**2\/19 - 530*g\/19 - 528\/19 = 0. Calculate g.\nAnswer: -264, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 903*z**2 - 283*z**2 - 321*z**2 - 301*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 8*k**2 - k**2)*(0*k**2 + 0*k**2 - k**2) + (-5*k**3 + 4*k**3 + 0*k**3)*(-2 + 2 + k).\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1840)\/(-56) + -48 + 10)\/(-2 - (-129)\/42)?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 227\/7 - 32. Let r be 0 + -2 + 4\/2 + -1. Is l greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1157? (a) 0.1 (b) -1\/4 (c) -9 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**2 + 3*b - 1. Suppose 3*f - n - 2 = 6, 0 = -3*f + 5*n + 16. Let v be p(f). Let g be 1 + (v - -9199999 - -3). Round g to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*c = 960 - 52, 3*j - 2740 = c. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4\/5 - 26*d**3\/5 - 16*d**2 - 72*d\/5.\nAnswer: -2*d*(d + 2)**2*(d + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4275 and 208107.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 10 = 7*k - 3*k, -7 = 5*d + 2*k - 31 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-25))\/((128\/120)\/(-16))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 - -1.3. Let t = 8 + -27. Let r = t + 20. What is the closest to r in y, 0.2, 1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 17*l + 10, 96*l + 83*l = -m + 184*l + 4 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1*-6 + 2)\/(7 - 17). Factor 4\/5*s**2 - 2\/5*s**4 - 2\/5*s**5 - w + 4\/5*s**3 - 2\/5*s.\nAnswer: -2*(s - 1)**2*(s + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000572034 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 85978808?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 10*l + 23. Let a be c(-2). Solve u + a*u - 4 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.9 + 1.9. Let y = 9.91 + t. What is y rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*p + 3*u + 180, -2*p + 108 = 4*u. Suppose -p = -5*k - c, k - c + 6*c - 2 = 0. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/63 + (7\/7 - 6\/14).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-119005)\/15)\/(5\/(-17 + 2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 3)*(-3 - 4 + 4)*(8*g + g - 4*g).\nAnswer: -30*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8588007 (base 9) in base 15?\nAnswer: 60e71a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 51*r + 52 + 44 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -p. Suppose p = -g + 5 + 1. What is the remainder when (-1)\/(3\/g) + 18 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 m when three letters picked without replacement from {i: 1, s: 1, m: 9, u: 3}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7429.738 litres in millilitres?\nAnswer: 7429738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*sqrt(6000) + (sqrt(60) - sqrt(2940)*1)))\/((sqrt(96) - (4*sqrt(96)*-1 - sqrt(96) - sqrt(96)))\/(-2*sqrt(968))).\nAnswer: -1056*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - z**3 + 8948422*z**4 + 6*z - z + 3*z - 8948427*z**4 as x*z + p + v*z**3 + d*z**2 + j*z**4 and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 46045.449s in days?\nAnswer: 0.5329334375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 20*a**2. Let o(j) be the first derivative of 8*j**3\/3 + 35. Calculate o(c(r)).\nAnswer: 3200*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abawgrrrr. Give prob of sequence awr.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*x + 54 + 6. Calculate the common denominator of -11\/27 and (36\/(-16))\/(x\/14) - -1.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c. Let l be t(1). Let o = 0 + l. Sort -4, o, -2.\nAnswer: -4, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -208 + 213. Find the third derivative of -52*v**3 - 28*v**3 - 35*v**2 + b*v**2 wrt v.\nAnswer: -480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence evvv when four letters picked without replacement from {e: 3, i: 7, v: 4, s: 1, b: 1}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 5*w**2 - 6*w - 5. Let p be r(-6). Let q = 23 - 31. Let h be 3\/(36\/q) + 1. Put 0, h, p in decreasing order.\nAnswer: h, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-seven fifths of a kilogram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**2 + 4. Let j be k(-3). Suppose -j = -5*n + 20. What is the smallest common multiple of n and 1\/4 + 78\/8?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -40404813\nAnswer: 80809626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46 and 69.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5230208 and 3008?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -745*o - 6058 = -279*o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 279739.1 and -807.86942.\nAnswer: 278931.23058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (68\/(-8) + 6)\/(2\/(-44)). Let h = k + -50. Solve h*s + 2 = 4*a + 19, -4*s - 2*a + 24 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4519223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-256)\/288)\/(2 - 4)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 - k + 3. Let a be s(0). Suppose 0 = -a*c + 1072 + 221. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76 - -254. Suppose 14*q - b = -136. Solve o + 2 = -v, q*o + 4*v = 3*v + 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b + 74. Suppose 3*m - 6 = -l, 5*l - 3*l + 8 = -m. What is the tens digit of v(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (18 - 17\/((-85)\/(-2))*-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2*f - 88, c = -2*f - 15 - 23. Does 4 divide (-106)\/(-4) - c\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -16, 0, 3, -1, 6 in ascending order.\nAnswer: -16, -2, -1, 0, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b*f**2 - 7*b*f*u - b*u**3 + b*u**2 + 259*f**3*u**3 + 3*f**3*u - 107*f*u**3 wrt f?\nAnswer: 4*b + 1554*f*u**3 + 18*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 7*h**2\/2 + 10*h + 6. What is the derivative of i(w) wrt w?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4140432 - -205?\nAnswer: -4140224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -275 - -599. Suppose -s = -4*u - 0*u. Is 27 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3143 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 10 = -a, 4*a - a + 35 = -4*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*a + 1. Let r be -4 - (3 + a)*2. Let b = r - -23. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 4)*(-9)\/(-16) + -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 165*u + 2810. Give b(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2230 divided by -1683\nAnswer: 2230\/1683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -3*y**8\/56 - 7*y**6\/10 - y**4\/2 - 15*y**2 + 18*y + 4. Find the third derivative of a(v) wrt v.\nAnswer: -360*v**3 - 504*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 131, 280, 521, 884?\nAnswer: 1399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-4)\/z)\/z*z**(-1\/3))\/((z**(-4)*z*z)\/z**(-3\/5)))\/((z**4\/(z*z\/(z**(-3)\/z)))\/(z**2\/z**(1\/5))) assuming z is positive.\nAnswer: z**(-17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12728 (b) -1 (c) -2 (d) 5 (e) -1\/3 (f) 3 (g) 2\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 - 73*u**3 + 0*u**2 + 71*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1161 from -3628577.209.\nAnswer: -3628577.0929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*g + 23 = 0, -2*s = 3*s + g + 89. What is the remainder when 233 is divided by -2*(585\/s + 3*1)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 7:47 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-60)\/(-18)*6\/5. Suppose 4*i = -n + 6*n + 69, -2*n = -2*i + 34. What is the greatest common divisor of i and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 497962230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 l, and 1 b when four letters picked without replacement from lbljqxqbbbqhqlqq.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2800\/23 greater than -4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9329, 16198, 23067, 29936?\n\"Answer: 6869*o + 2460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310322 is divided by 103189?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -v**2\/2 - 10*v - 3. Calculate b(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/2*(-6)\/(-4). Suppose 39 = -10*k + 19. Put -5, n, k in decreasing order.\nAnswer: k, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 11:14 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wg when two letters picked without replacement from {u: 3, z: 3, g: 3, w: 6}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) -3 (b) 1\/6 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/23? (a) 1 (b) 115689 (c) 3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -439 - -442. What is the greatest common divisor of a and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2943475 to the power of 1\/2, to the nearest integer?\nAnswer: 1716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583845 is divided by 3766?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -728.421, -3\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*0.16.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 475 bigger than 475?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11206423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6427 - 51417\/8. Which is the closest to -412? (a) d (b) -1 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 34725 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4391851 rounded to 2 decimal places?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -2, -3 in ascending order.\nAnswer: -4, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**2\/v)\/(v*v**(-7)\/v))\/(v*v**(2\/7))**(-8))**(2\/87))**(-2\/25) assuming v is positive.\nAnswer: v**(-512\/15225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4668326 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, j: 2}. Give prob of sequence aaaa.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-9))\/((5 - 1)\/8).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38230363.\nAnswer: 4801, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*v - 157*v = 0. Let u be v\/6 - (-2 - (-1 - -1)). What is the second derivative of -23*l - 21*l**3 + u*l**2 - 2*l**2 wrt l?\nAnswer: -126*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263731 is divided by 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnnnnn. Give prob of picking 3 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 2. Let f = l + 3. Suppose 8*d - 5*d - 111 = f. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 11*s**2 - 10*s - 22. Let b be o(12). Solve 0 = -2*w - 8 - b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*x - 57 - 21. Let p(u) = 15*u**2 - 11*u + 7. Calculate the remainder when p(x) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of ((-18)\/10)\/(18 - 102264\/5680)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = j - 4*x - 0, j - x = 1. Suppose j*k = -2*a + 70, -5*k + 15 = -a + 80. Calculate the highest common divisor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -839*k + 820*k - 323 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {h: 2, n: 1, i: 1, r: 2, t: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(5\/(-1))*2\/(-9)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrhh when four letters picked without replacement from {r: 6, w: 3, x: 1, h: 8}?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -124289 by -1.\nAnswer: 124289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 640939?\nAnswer: 13, 47, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -260 divided by 62330?\nAnswer: -26\/6233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1176)\/32928 - 4\/35.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**4 - 1176*h**3 - 3552*h**2 - 3560*h - 1188 = 0. Calculate h.\nAnswer: -1, 297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36294?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 55 and -0.038?\nAnswer: -2.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 6:21 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/4 or -5321\/284?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216795 is divided by 108030.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.13 - 0.13. Is 1 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -145016000 to the nearest one million.\nAnswer: -145000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1. Let y = -0.25535 + -5.74465. What is the nearest to -2 in v, 5, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**2 - 4*r - 4. Give d(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 76752180\nAnswer: 7675218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + j + 1. Let s(o) = -o**2 + 1. Give b(n) - 3*s(n).\nAnswer: 2*n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 + -9721?\nAnswer: -9706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, t: 2, j: 1, a: 1, y: 1, h: 2}. Give prob of sequence tkaj.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -6) + -461 + 465 + 9\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*f + 22*f + 1 - 50)*(-f**3 + 4*f**2 - 4*f**2) in the form r*f**4 + s*f**2 + b*f + o*f**3 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/485, -24, -3.\nAnswer: -24, -3, 11\/485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3\/6 - 1807*d**2\/2 - 1529112*d - 764938278 = 0. What is d?\nAnswer: -2262, -897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*i**5 + 4667*i**4 - 8*i**2 - 142*i + 20506 wrt i?\nAnswer: -340*i**3 + 56004*i**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/2 (b) 15 (c) 1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -35.343.\nAnswer: -35.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 19068726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + 13.6.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 82800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21239 + -24855. Which is smaller: m or -3614?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 14*j + 52 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -115*w**3 - 3*w**2 - 351 wrt w?\nAnswer: -690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/8075 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in 0.4, -5, 0.5, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 3:28 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 40431973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7\/6 + -8\/3. Let u = -361.7 - -312. Let o = 50 + u. Which is the closest to 1\/2? (a) o (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101 + 1?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 4 = -3*i, 1621*i = -4*a + 1618*i + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l**3 + 2 + 338*l**3 + 402*l**3 - 231*l**3.\nAnswer: 516*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 116670 a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050076963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/2738 and 89\/20?\nAnswer: 27380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -22327a7?\nAnswer: -22327aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134190 divided by -26838.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 10*w = 18 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, o: 1, l: 1, j: 2}. Give prob of picking 1 h, 1 l, and 1 o.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22359 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -7, 51, 175, 389, 717, 1183, 1811?\nAnswer: 2625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1219?\nAnswer: 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 31130 + 31154 = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 600 and 201600.\nAnswer: 201600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2922*d**2*r**2 - 117918*d**2*r + 2*d**2 - 369*d - 77746 with respect to r.\nAnswer: -5844*d**2*r - 117918*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -37*x**2. Let m(i) = -i**2 - 36*i + 6. Let o(u) = 2*u**2 + 78*u - 13. Let n(r) = -13*m(r) - 6*o(r). Give q(n(v)).\nAnswer: -37*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 11171 (b) -3\/4 (c) -0.3 (d) 4\/5 (e) 2\/5 (f) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26.918 + -0.082. Let j = 78 - 50.6. Let v = j + z. What is the closest to 0 in v, -1, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l. Does 15 divide r(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 360 + r**3 + 11*r**2 + 379 - 15*r - 751. Determine u(-12).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16152 or -74?\nAnswer: 16152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2115 (base 7) to base 4\nAnswer: 23223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(132)\/(-2*sqrt(12)) - (sqrt(11) + sqrt(88)\/(sqrt(8)*2) + (0 + sqrt(11))*-1))**2.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*g = -35*g + 94 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.05 - 0.05. Let v = 0.137 + -0.037. Which is the closest to -1\/2? (a) -1 (b) g (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 1942. Let k(b) be the third derivative of -b**5\/60 - 19*b**2 + 6*b + 3. What is v(k(g))?\nAnswer: g**2 + 1942","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14925*v + 19389 = -14644*v for v.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 77.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4660989082?\nAnswer: 2, 2330494541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 6*q**2 + 8*q + 13. Let s be f(-7). Let y = 18 - s. Calculate the highest common factor of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 34 - 37 - (-1 + -4). Let a be (-1)\/(w\/6) + (-3 - -7). Let l(s) = -5*s**2 - 1. What is l(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22077591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136, 269, 402, 535, 668, 801?\nAnswer: 934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -17. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + 2 + 1)**2*-4 + -2.\nAnswer: -486 - 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25503809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1118754?\nAnswer: 2, 3, 7, 13, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3}. What is prob of picking 2 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1993 - -1999. Let k(p) be the third derivative of p**5\/30 + 5*p**4\/8 - p**3\/3 + 34*p**2. Let v(f) = -f**2 - 8*f + 1. What is s*k(l) + 11*v(l)?\nAnswer: l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2949365?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v + 5. Let o be r(6). Suppose -11 = -l - 13. What is the common denominator of (o\/l)\/((-56)\/(-595)) and -101\/22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(3\/16)\/p)\/p)\/p*p*p)\/p*p*p)**(-14\/3) assuming p is positive.\nAnswer: p**(-7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(15)*-1)\/sqrt(5)*-6.\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -44*z**3 + z + 1. Let y be t(-3). Let i = y + -815. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -4*x - z, 0*x + 3*x - 46 = 4*z. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123062490 a multiple of 510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 2*p = 7*z - 6, 3*z - 2 = 2*p. Suppose 106742 = z*u - 138872. Suppose 316307 = -5*m + u. Round m to the nearest one thousand.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/11*99\/18. Suppose 3*p - r*a = 98 + 80, 2*a = 2. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11472117)\/170703 - 7\/(-13))*(-18)\/8.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*k + 689 = 0, -3*k - 287 = -2*j + 2*k. What is the remainder when j is divided by 76?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13521)\/(-7) - 6\/(-14). Is 28 a factor of b\/16 - 15\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -6*o - 3. Let j be g(-2). Let i = j - 2. Suppose 4*n + 4*t + 20 = 0, i = -0*n - 3*n + t. Let y(l) = -l**2 - l + 1. Give y(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 848795 (base 12) to base 9\nAnswer: 3832845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 4 + 4)*(38345 + 1110*a**4 - 38345) + 2*a + 2*a**5 - 2*a.\nAnswer: -2218*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 96, 526, 1446, 3024, 5428, 8826?\n\"Answer: 28*i**3 + 77*i**2 + 3*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -44000338 to the nearest 10000.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 7 - 2*z + 0 - 5*z. Let f be (-906)\/54 + (-4)\/18. Let b(i) = 20*i - 20. Determine f*k(l) - 6*b(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 126.7 and -4054294.\nAnswer: -4054167.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**3 - 25140*b**2 - 29477888*b + 88660032 = 0. What is b?\nAnswer: -4724, -1564, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 386 - 229. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 s when two letters picked without replacement from zzzzsammz?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 69*w**5\/2 - 41*w**4\/3 - 14*w - 8. Find the third derivative of q(x) wrt x.\nAnswer: 4140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2522 * -50.467\nAnswer: 127277.774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a - 2*a - 9*r + 5*r + 16 = 0, 4*r + 16 = 2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -5883*x**5\/20 + 407*x**3\/2 + 200*x - 2. Find the second derivative of o(n) wrt n.\nAnswer: -35298*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**5\/7 + 244*r**4\/7 - 9752*r**3\/7 + 126960*r**2\/7.\nAnswer: -2*r**2*(r - 46)**2*(r - 30)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 588 divided by -147\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 3 - 4\/9.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -7*l - 27. Which is smaller: l or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13422 + -0.01.\nAnswer: 13421.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120 - 2114441104?\nAnswer: -2114441224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 70233, 70310, 70387, 70464, 70541?\n\"Answer: 77*n + 70156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -17324?\nAnswer: 3\/8662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(((2 + sqrt(68) - sqrt(68)) + 0)*-3 - (4 + (sqrt(68) - (0 + sqrt(68)) - sqrt(68)) + 5)) + -4)**2.\nAnswer: -76*sqrt(17) + 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17884 - -240276. Let s = -36 + 38. Suppose -v = s*n - 2238160. What is n rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 2*p = 54. Suppose 3*c - p*c = -18. Suppose 2*v = c, -d = d + v - 9. Solve 3*t + h + d*h = 32, -2*t + 5*h - 17 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4))**(4\/3)*b\/(b*b**(1\/3))*b*b\/b**(1\/35))**(6\/5) assuming b is positive.\nAnswer: b**(-776\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 8*y + 7. Let z be d(6). Suppose 15*t = z*t - 20. Let p = 0.02 + -3.02. Which is the third smallest value? (a) 0.17 (b) p (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from antaft. Give prob of sequence tntf.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - sqrt(119)*2 - sqrt(119) - sqrt(119))*-4)\/(sqrt(7) - (sqrt(28) + sqrt(28)*2)\/sqrt(4)) + ((1*sqrt(1088) + 4)*-4)**2.\nAnswer: 1018*sqrt(17) + 17664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 2:50 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1221641 is divided by 34.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14 (b) -1 (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 - 0.8. Let f = 0.025 + d. What is f rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4598*u - 2819. What is the units digit of w(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (81\/(-6))\/(-9)*214. Factor 22*f**2 + 13*f**2 + l - 5*f**3 - 55*f - 296.\nAnswer: -5*(f - 5)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -15673?\nAnswer: 4\/15673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1046716\/9 - -116451. Let m = h - 149. Let z be 3 - 6 - (-65)\/21. Which is the closest to m? (a) -0.1 (b) z (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -819.7434 - -0.1.\nAnswer: -819.6434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-11\/4)\/(z*z*z*(z**(-23)*z)\/z*z))**8 assuming z is positive.\nAnswer: z**130","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*d - 32 = 4*b, -4*d + b = 12. Let k be 0*1*d\/4. Solve k = -3*r - 5 - 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-513)\/(-228)*(-52)\/13\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -15522 divided by -3\nAnswer: 5174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1218 and -357425?\nAnswer: -435343650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 98123549 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 - 110290*d - 50731800.\nAnswer: -5*(d + 470)*(d + 21588)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/33)*d*d**(2\/51) assuming d is positive.\nAnswer: d**(617\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -13*q**5\/60 + q**2. Let b(y) = -y**2. What is b(n(f))?\nAnswer: -169*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 72\/5 of a meter?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 1 = -4*c - 7, -2*c + 2*o + 2 = 0. Let y be (-1)\/(c + 2\/4). Let b(s) = y*s + 4*s - 5*s + 2*s. Let q(i) = 3*i**2. What is q(b(h))?\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*x - 617 + 76*x + 241.\nAnswer: -62*x - 376","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-29439.982.\nAnswer: -58879.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10001101010 (base 2) to base 9\nAnswer: -1485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -38. Let k = 13.999 - c. Let u = -0.0010052 - k. Round u to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 142 + -47. Suppose -2429 = -r*k + 88*k. List the prime factors of k.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 7 = -5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16 (b) 4 (c) 2\/11 (d) -1\/6 (e) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from rcrrrccrrrcccrrccccc.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*j = -0*x + 25, j - 42 = -4*x. Let w(p) = -6 + 14 - 11*p - 10*p**2 + 2*p**3 - p**3. Calculate w(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1401*b**2*i - 48*b**2*w + 441*b*i*w - 54*b*w wrt b?\nAnswer: -2802*i - 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 2:00 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 992764473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 556 - 535. Let f = w - 46. Is f less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 5*c**5\/2 - 11735*c**4\/2 + 11715*c**3\/2 + 35195*c**2\/2 - 5860*c - 11730 = 0.\nAnswer: -1, 1, 2, 2346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -917 and -982 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of y**4\/4 - y + 2. Suppose -3*w + 19 + 65 = 0. Let k be 2\/8 + (-35)\/w. What is a(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 w when four letters picked without replacement from {w: 6, a: 6}.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/11*y**2 + 0*y - 2\/11*y**3 + 0 = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**7\/14 + i**3\/6 - 4*i**2. What is the derivative of m(w) wrt w?\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*j**2*p**4 + 15832*j**2*p + 1058*j**2 + 2*j wrt p?\nAnswer: 20*j**2*p**3 + 15832*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 times -15.2\nAnswer: 13.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (1 - (0 + 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 8*p - 5. Let n(s) = -1. Let k(t) = -6*n(t) + r(t). What is k(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**5\/5 - 421*x**4\/5 - 1271*x**3\/5 - 427*x**2\/5 + 254*x + 848\/5 = 0.\nAnswer: -2, -1, 1, 424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 13. Let k(v) = d*v - 4*v + 0*v - 1 - 3*v. Suppose 3*g - 7*q - 15 = -2*q, -g - 3*q - 9 = 0. Determine k(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*k**2 - 28*k**2 - 13*k**2 - 1187771 + 1187770 - 9*k**2.\nAnswer: -20*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -64\/9 in 0.1, 10, -5, 1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(36) - sqrt(576)))\/((sqrt(800) - sqrt(50)) + sqrt(2)) + 2 - ((sqrt(2592) + sqrt(2592) + 4 + 0 + sqrt(2592))**2 + -1)*-5.\nAnswer: 17289*sqrt(2)\/4 + 116717","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1874 + 258613\/138. Let u = -107\/46 - n. Are -1 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 477847695.\nAnswer: 3, 5, 13, 79, 31019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 4)*(-952)\/(-1360)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.009 times 4\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*r - 4. Suppose -r*j + 21 = -15. Suppose 5*s = -3*z + 144, s = -3*z + j + 18. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17347 and 56191.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 68 = -4*u, -3*j = 5*u - 69 - 15. Let p be 45\/u - (-6)\/(-4). Suppose -4*w + n = 1 - 5, -3*w = -n - 2. Solve -w*m - p = -11 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4*d**4 + 84*d**3 - 4*d**2 - 84*d = 0.\nAnswer: -21, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 397218, 397255, 397290, 397323, 397354, 397383?\nAnswer: 397410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1246)\/(-5) - 84\/(-105). What is the greatest common factor of t and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -190 + 413. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-49)\/(-98))\/(52\/32).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-160)\/(-480))\/(4\/(-252))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 1:07 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73*y**3 - 899 + 899)*(-y**2 - 2*y**2 + 2 + 4*y**2).\nAnswer: 73*y**5 + 146*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (28 + (-8 - -9) + -7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.60879 micrograms to kilograms.\nAnswer: 0.00000000760879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -78276.19519 minus -0.3?\nAnswer: -78275.89519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 7*w + 72. Let y(b) = 4*b**2 + 17*b + 17. Let m(f) = -f**2 - 4*f - 4. Calculate w*m(v) - 2*y(v).\nAnswer: v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29662053*l**3*m**3 + l**3*m + 89526361*l*m**3 - 2*l*m wrt l.\nAnswer: -177972318*l*m**3 + 6*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (83 - 1)*5*16\/(-40). List the prime factors of 1 - 3 - (-5)\/5 - v.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 9:09 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2. Let v(k) = 91654*k. Calculate v(z(g)).\nAnswer: -91654*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 - l**2 - 2*l**2 + (-2*l - 5*l + 4*l)*(-3*l + 3*l - l) + 11*l**2 - 7*l**2 - 8*l**2 to z*l + w*l**2 + a and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w**3 - 2. Determine j(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13\/(-13) - (-3 - 1). Let p(o) = -9*o - 4 - q - 7*o. What is the tens digit of p(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (5 - (-15 - -28 - 42)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 546975 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14008 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**3 + 6*y**3 - y**3 + (0*y - 3*y**2 + 0*y)*(-y + 1 - 1) to b*y + k*y**3 + h + m*y**2 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6760 - 6758. Solve -4 = -v*g, 0 = d + 6*g - 2*g - 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(1\/8)*a**(-4))**(18\/5)\/((a**1\/a)\/(a*a**(-7)))**(-7\/5) assuming a is positive.\nAnswer: a**(33\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 172383668, 344767340, 517151012, 689534684, 861918356, 1034302028?\n\"Answer: 172383672*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16577062? (a) -4 (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 712, 0, 441, -10 in ascending order.\nAnswer: -10, 0, 2, 441, 712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, r: 7, a: 2, t: 1, c: 4}. What is prob of picking 1 r and 1 t?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -531.203 - -524.203. Let r = -0.5 + 0.1. What is the second smallest value in r, 5, 0.3, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -18338127.\nAnswer: -36676254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25261*m**2 - 12631*m**2 - 12674*m**2.\nAnswer: -44*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14552530 + -1?\nAnswer: -14552531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5265 - 3933. What are the prime factors of x?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 6*a**2 + 6*a + 1. Let i be g(-2). Suppose 3*p = 2*h - 122, -3*h - i*p = -3*p - 196. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2310.515 nanoseconds?\nAnswer: 0.002310515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24c772 (base 13) to base 9.\nAnswer: -1587234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2134*r**2 + 1881 with respect to r.\nAnswer: 4268*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 385310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60468.71 millennia to decades.\nAnswer: 6046871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxh when three letters picked without replacement from wwoxhchww?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, w: 2, x: 1, b: 1}. What is prob of sequence axww?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 6 = -1. Let t be ((-1)\/(1\/(-2)))\/s. Does 3 divide -9*1*t\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -5. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**2. Let m(a) = 2*a**2 - 5*a. Let p(d) be the second derivative of d**4\/12 - d**3\/2 - 5*d. Let t(n) = -6*m(n) + 10*p(n). Calculate t(l(s)).\nAnswer: -18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 24 - 66*c**2 + 68*c**2 - 27 - 2*c. Let i(w) be the third derivative of w**6\/120 - 7*w**5\/60 - w**4\/24 + 5*w**3\/6 + w**2. Let n be i(7). Give d(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**3 - 165*m**2 - 2184*m + 2352 = 0.\nAnswer: -28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 1361.1, -38?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 110791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 616.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 11:14 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2052567, -2052577, -2052587?\nAnswer: -2052597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 7 + 1 = 4*o, -f + 3*o = 6. Suppose 4*t + 0*t - 136 = f. What is the least common multiple of t and 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) -5 (c) -2\/27 (d) 41 (e) 0.1 (f) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1698095.018 to the nearest 100.\nAnswer: -1698100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, -0.2991, 101\/3?\nAnswer: -0.2991","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14607459 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8921 + 8934 - 26793 + 3*y + 8938.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1144452 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b*d**2*n + 3*b*d**2*q - 3*b*d*n + 2*b*d*q - 3*b*n + 32*d**2*q + 3*d**2 - 2*n*q with respect to n.\nAnswer: b*d**2 - 3*b*d - 3*b - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + q. Let n(i) = -5 - 5 - 9*i + 7 - i**2. Let m be n(-8). Let o(d) = 7*d**2 - 5*d - 1. Give m*t(p) + o(p).\nAnswer: 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4*s + 164 = 0, -577*n - 4*s - 164 = -612*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156402?\nAnswer: 2, 3, 8689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-28))\/(1824\/(-168))*(-12)\/15\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 8 = y. Let q(r) = -3*r**3 - 5*r**2 - 2*r + 1. Let m(g) be the first derivative of -g**4\/4 - 2*g**3\/3 - g**2\/2 + 46. Give y*q(i) + 5*m(i).\nAnswer: i**3 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1630*g**2 - 10*g**3 - 1630*g**2 + 2.\nAnswer: -10*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, 66, 150, 234, 318?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 223\/(-4) - (-2)\/(-8). Let s be ((-216)\/(-7))\/((-12)\/c). What is the highest common divisor of s and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.15790273 - 1.15790201. Let w = -8 + h. Round w to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 859540 to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -123 + 127. Let b be 48\/9*9\/y. Suppose 4*a + 0*a + 5*l = 28, 3*l = b. Calculate the lowest common multiple of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 4\/3, 0.4, 1\/6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0 - 12 = 0. What is the second biggest value in w, 8, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5808350894?\nAnswer: 2, 32191, 90217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*o = 7, 8 = o + 4. Suppose -2*t - 5*v + 67 = 0, 8 + 44 = 2*t + 2*v. Let z be (t\/(-5))\/j + -1. Which is the biggest value? (a) 0.5 (b) z (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5\/14, -2, -4 in descending order.\nAnswer: 1, -5\/14, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5240 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33426.7 - 32043. Let g = 1283.11 - -18.89. Let b = t - g. Round b to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + sqrt(3) + -3*sqrt(3)*-5 - -2*(sqrt(3) + sqrt(27) + 0)**2*2.\nAnswer: 16*sqrt(3) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19630.84 litres?\nAnswer: 19630840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, m: 1, c: 1, t: 1, k: 1}. What is prob of picking 1 u and 2 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13310 (base 5) in base 16?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 4b5?\nAnswer: -4b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtttqrrq. Give prob of sequence tq.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/269 - -791\/2152. Sort -2, 4\/11, -0.5, d.\nAnswer: -2, -0.5, 4\/11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82205\/54803 - 1\/109606. Let d be 3\/15 - 2\/(-10). Let t = -7 + 11. Put 2, k, t, d in decreasing order.\nAnswer: t, 2, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -44802?\nAnswer: -44803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 8*v**3\/3 - 1948*v**2\/3 - 17104*v\/3 - 2688 = 0.\nAnswer: -8, -1\/2, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-6) - (24 + ((-39440)\/51)\/(-40))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0828262 days in hours?\nAnswer: 1.9878288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4 = -0. Suppose -i = -o - 0. Solve 4*f = 4*u - 0*u + 8, -2*f = 2*u + i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12279 (b) -2\/5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 550.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4*(sqrt(539) - (sqrt(539) + 1)) + sqrt(539) + (sqrt(44)\/sqrt(4) + 4 - (-2 + sqrt(55)\/sqrt(5))))**2.\nAnswer: 112*sqrt(11) + 603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54726421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10851\/9)\/((-26)\/(-231738)). Suppose 0 = 2*p - 10, 5*p + h = 2*b + 63346132. Round b to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2028489.8 and -0.3.\nAnswer: 2028489.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ol when two letters picked without replacement from {q: 5, o: 4, a: 1, l: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 264 - 95*k**3 + k**2 - 108*k**3 - 260 + 223*k**3 in the form b*k**3 + j*k**2 + w + m*k and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -1004*b**2. Let a(p) = p + 156. Let o(j) = 52. Let l(r) = -2*a(r) + 6*o(r). Determine x(l(f)).\nAnswer: -4016*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*d*r*x**2 + d*r*x - d*r - d*x**2 - 12*d*x + 610*d - 10*r*x**2 + 2243*x**2 + 55 wrt x?\nAnswer: 58*d*r - 2*d - 20*r + 4486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -139108 + 63208. What is n rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 - 38. Let u(l) = l**2 - 11*l - 40. Let i be u(w). Factor 3*v**5 + 3*v**5 - v**5 + 5*v**4 + 155*v**i - 5*v**3 - 160*v**2.\nAnswer: 5*v**2*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -2385.\nAnswer: -1\/795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from irevj. Give prob of sequence ej.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 - 49. Let u(p) = 263*p + 51. Let b(o) = -3*o + 2. Let z(y) = f*b(y) + u(y). Find the first derivative of z(m) wrt m.\nAnswer: 260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/3 or -19\/2?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pupffpcpcz. What is prob of sequence czfu?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*g = 315. Let k(m) = g*m + 65*m + 17 - 54. Is k(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -26\/15*m**2 - 2\/15*m**3 + 0*m + 0 = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2\/11))**14 assuming j is positive.\nAnswer: j**(182\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 33*s**2 + 28*s - 32. Let d be o(-32). Suppose 2*p - d = -6*p. Calculate the highest common divisor of 28 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63821187421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*r**2 + 65*r**2 + 68*r**2 - 25*r - 45*r - 15*r.\nAnswer: 2*r**2 - 85*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v + 860 + 752 - 1612.\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1 + -6 + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41125 is divided by 1142?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a day in minutes?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 13*q**2. Let n(i) be the third derivative of i**4\/8 + 6*i**2. Calculate n(g(d)).\nAnswer: 39*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qhg when three letters picked without replacement from {o: 1, g: 2, s: 1, c: 2, q: 10, h: 2}.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/23, 5, 0.08, 7\/2, -0.328, -0.9?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*-3*-4 - 0. Suppose -2*w + 39 = 5*k + 6, -2*k + o = 2*w. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - -3.6. Let g = 0.4 - 0. Let f be (3\/20 - 0)*4. What is the nearest to 1\/4 in g, t, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3835 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52 + 52 + 2*c)*(1 - 3 + 1)*(7 + 11 + 10).\nAnswer: -56*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8462 less than 615377593?\nAnswer: 615369131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 10 - (4 - 9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p + 26. Let i be s(8). Suppose 3*k - 177 = -i*b, b + 3*b - 3*k - 399 = 0. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-2085*x + 2087*x - 7*x**3 + 6*x**3 - 267*x**4).\nAnswer: 267*x**4 + x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 52c78 (base 15) in base 14?\nAnswer: 6ba36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2395 != 2394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -63 - -6720?\nAnswer: 6635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -676 + 1008. Suppose 4*b - 3*w - 332 = 2*w, -4*b + w = -j. Does 34 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 8:26 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186 divided by 1821131.\nAnswer: 186\/1821131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(14 - 14 + 5*j)*((4 + 0 - 2)*(-3 + 4 + 0) + 1 - 6 - 12).\nAnswer: 75*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**5\/5 + 4*c**4\/3 - 7*c. Find x such that l(x) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 6*p + 24 = 0. Let z be ((-8)\/6 + 2)*2850\/76. Suppose -z*v = -p*v - 200. What is the highest common factor of v and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 5*f - 11. Give h(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(sqrt(60)\/sqrt(6)) + -5)**2.\nAnswer: -10*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3302411\/4 - -825632. Find t, given that -6591 - 3\/8*t**3 - o*t**2 - 1521\/2*t = 0.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 36 = -2*d. Suppose s + s = d. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, r: 2, k: 9}. What is prob of sequence rk?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 45 = 5*p, -21*p + 18 = -21*p - 2*h for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 1 + sqrt(1100))**2 - (sqrt(1100) + sqrt(1100) + -2 + -5))*4.\nAnswer: -240*sqrt(11) + 4444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -207 + 209. Suppose -3*n = 2*n + b*n. Let l = 1.2 + -1.07. Which is bigger: n or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64320 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0*u - 2*u + 6*u)*(1 + 0 + 2 + 3*u**2) to h*u**3 + p*u + x + f*u**2 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122111323 (base 4) to base 10.\nAnswer: 107899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5012490*p**3 - 57*p**2 + 31*p + 11 wrt p?\nAnswer: -30074940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151680 - 151680 + c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 1:45 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/462 and 95\/126?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -16*o - 584. What is the remainder when 569 is divided by y(-38)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/4 + 15\/(-6). Let o(n) = 7*n + 4. Let h be o(g). Let m = h - -29. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10441 + -5?\nAnswer: -10450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 40 + 2*i**3 + 1\/4*i**4 + 3\/2*i**2 + 3*i. Calculate p(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -6*h**5\/5 + 81*h**4 + 14874*h**3\/5 + 6927*h**2\/5 - 14868*h\/5 - 7332\/5 = 0.\nAnswer: -26, -1, -1\/2, 1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -181, -260, -303, -292, -209?\n\"Answer: 3*p**3 - 100*p - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 9959?\nAnswer: -995a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -c**5\/60 + 5*c**4\/24 + c**3 + 2*c**2. Let v be o(7). Is (v\/6)\/(2\/(-6)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 121*i**2. Let v(s) = -s**2 - 12794*s. What is v(x(j))?\nAnswer: -14641*j**4 - 1548074*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-3 + 7 + -3). Let x be -1*(-12 - 1) - q. Let p = x - -7. What is p rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 9. Let n be h(-6). Suppose 10*b + n = -43. Let i(o) = o**2 - 26*o + 8. Is i(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8414 is divided by 1158?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 127631870 to the power of 1\/4, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/2862 and 71\/5310.\nAnswer: 844290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 108?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*o - 71 = 0, -5*o = 3*i + 2*i + 190. Suppose v + 5*g = 14, -1 = -v + 5*v + g. Does 17 divide (7 - i) + (v - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1096*f + 4*s = 1105*f - 70, -2*f + 5 = -3*s for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4))**(-2\/81)\/(l**(-5)*l**(11\/3)\/l) assuming l is positive.\nAnswer: l**(197\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8*7\/(-364) + (-178008)\/78. What is f rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, -10, 7, -124 in decreasing order.\nAnswer: 7, -1, -6, -10, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/4 + 0 + 2. Which is the third smallest value? (a) -2 (b) -1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**4 + 58029*j**2 - 47*j + 676 wrt j.\nAnswer: 24*j**2 + 116058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 354492417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6 = -3*b, 16 = -6*w + 2*w. Let x = -13 + b. Let h be (-28 + 0)*(x + 5). What is the highest common divisor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -30*n - 599. Calculate a(-20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -10*n + 0 + 3\/2*n**2 + 0*n**4 - 3\/20*n**5 + 0*n**3. What is the first derivative of v(s) wrt s?\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000443431 rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 135, 215, 317, 447?\nAnswer: 611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*m + 130 = 104*m. Sort 4, -5, m, -82.\nAnswer: -82, -5, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6865.\nAnswer: 5, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -10 + 24 - 36*w - 16 - 10 - 2*w**2. Let h(r) = -2. Let u(o) = -6*h(o) + p(o). Factor u(t).\nAnswer: -2*t*(t + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -0.1, 7\/5, 3, 1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4640686654.\nAnswer: 2, 19, 59, 2069887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 660556?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 16 - 6*n)*(1 - 3 + 3)*(-4 + 1 + 4).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 30\/(-345) - 77060\/(-115)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 + 69*o**2.\nAnswer: 3*o**2*(o + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 44464501349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1040.925 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*8*3\/(-36)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -150*w. Let y(o) be the second derivative of o**3\/6 + o + 98. What is y(q(i))?\nAnswer: -150*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((2*sqrt(300) - sqrt(300))\/sqrt(6) + -2 + sqrt(450)))**2.\nAnswer: -80*sqrt(2) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2800 - -2796. Which is the closest to 4\/9? (a) p (b) -1 (c) -5 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2\/55 (b) 1\/6 (c) 1\/5 (d) -0.3 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 8*f + 50. Let i(p) = -3*p**3 - 52*p**2 + 24*p - 220. Let l be i(-18). Let d(n) = 3*n + 17. Determine l*c(b) + 11*d(b).\nAnswer: b - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6405.52 years?\nAnswer: 6.40552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*n - 1522192 = -x - 67*n, 5*x - 7611060 = -5*n. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h + 5*h + 12. Suppose 0*o = 2*r - o - 258, 0 = 4*r + h*o - 526. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j**2 - 3*j + 76. Let y(v) = 5*v**2 - 4*v + 75. Let t(u) = 4*o(u) - 3*y(u). Is t(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*f**2*n - 7119*f**2 - f*n + 78*n with respect to n.\nAnswer: -4*f**2 - f + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174686, -174707, -174722, -174731?\nAnswer: -174734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(15\/(-6)) - -2. Suppose -g*l = 1 - 5. Sort l, -2, 9 in decreasing order.\nAnswer: 9, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80546174 is divided by 262.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d - 194*d**3 - 10*d.\nAnswer: -194*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -o - 3*o. Let l(i) = -i - 4. Let f be l(-4). Solve -w - o = -f*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*v - v - 4*v)*(3 - 4 + 3) + (2 - 1 + 0)*(-2*v + 2 - 2))*(40091 - 1514*v - 40091).\nAnswer: 6056*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-6)*d)\/d*(d**(-7)*d)\/d)**(-2\/45) assuming d is positive.\nAnswer: d**(26\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = n - 10*n. Let z(l) be the second derivative of 9*l**2 + 6*l + n - 2*l**3 + 1\/6*l**4. Let z(f) = 0. What is f?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17511 minus -1.7713111854?\nAnswer: -17509.2286888146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2818 (base 13) in base 2?\nAnswer: 1011010000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 19225*z - 115370. Calculate o(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -3, -260\/3, -1\/2 in descending order.\nAnswer: 2\/15, -1\/2, -3, -260\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 154276 in 1\/5, -7, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*v**2 - 13*v**2 - 21*v**2.\nAnswer: -77*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17040 (base 8) to base 10.\nAnswer: -7712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 20*a**2 - 3*a + 75. What is o(20)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2059171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -8*f - 11. Let w = 16 - 26. What is the tens digit of h(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide -1*(-30)\/(-10)*-1213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2550, -6, -4, 2, 5 in decreasing order.\nAnswer: 5, 2, -4, -6, -2550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 + 7.1\nAnswer: 8.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 463770 divided by 21?\nAnswer: 154590\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1164, 2312, 3476, 4656, 5852, 7064?\nAnswer: 8292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311*m**3 - 156*m**3 - 143*m**3 + 2*m**2 - 2*m**2.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w**2 - 2*w - 5. Is s(4) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(5\/4)*t)**(-40)*t**(-2\/27)*t\/t**(-17\/4))**(-42) assuming t is positive.\nAnswer: t**(64127\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -i - 4. Let o(c) = 2*c**2 + 4*c - 4. Let b(u) be the third derivative of -u**4\/24 + u**3\/6 + 21*u**2. What is i*b(l) - o(l)?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5278 is divided by 120?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*z = -12*z + 2028002. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70 by 1.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkkkpkkpkpdpkd. Give prob of sequence dpp.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 10\/7*c**2 - 2*c**4 - 18\/7*c**3 + 4\/7 + 18\/7*c = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 0*o - 6. Let w be o*(-2 - 27\/(-6)). Let x = 29 + w. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 5. Let f be (7 - 5) + 1*-5. What is the tens digit of j(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-26 - -6 - -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3641716 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 822*m**2. Let a(v) = 237*v**2. What is a(p(y))?\nAnswer: 160137108*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10190160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v - 4. Let b be a(-4). Let p(t) = -t**2 - t + 2. Let q be p(0). Suppose b*x = q*x + 16. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12022 + 1?\nAnswer: -12021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5 = 9*n, -2*n + 358 = 4*c. Calculate the lowest common multiple of 9 and c.\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1637 and -0.134.\nAnswer: 219.358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 0*v**2 - 1\/3*v**3 - 1 + 6*v. Let l(k) = -74*k**2. Calculate b(l(m)).\nAnswer: 148*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 33908 and 34505 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2058 and 64984437?\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.33026992 rounded to three decimal places?\nAnswer: 21.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 5:06 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 w, and 1 l when four letters picked without replacement from llywllylylyll.\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/9*b**3 + 106\/9*b - 104\/9*b**2.\nAnswer: -2*b*(b - 1)*(b + 53)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -88712 and 1005.\nAnswer: -89155560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 - 2*q**2 - 2*q**2 + (-2*q - 4*q + 3*q)*(-q + 1 - 1) + 3*q**2 + 0 + 0 + (-14 - 13*q + 14)*(-q + 0 + 0).\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -500*f**3 - 8 + 534*f**3 + 8. Let w(i) = 1395*i**3. Give -124*n(h) + 3*w(h).\nAnswer: -31*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w - 3*w - 6 + 4*w - w.\nAnswer: 5*w - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (4 + 0)) + -1 + -9 + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 9:20 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**2 + 15*q - 1. Let g be o(-4). Solve -5 + g = -w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6a3931 (base 16) to base 2\nAnswer: -11010100011100100110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 0. Solve -5*k = c*j + 25, 2*j + 3*k + 15 = 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*n*o*s - 7*n*o + 4*n*s - 3*n - 4*o*s wrt s?\nAnswer: 2*n*o + 4*n - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 4*s**2 + 4*s + 6. Let k be m(-3). Suppose -2*z - a - k*a + 6 = 0, 18 = 4*z + 5*a. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 28, -17, -0.1, 6, -2, -117 in increasing order.\nAnswer: -117, -17, -2, -0.1, 5, 6, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1333 + -1331. Put -406, d, -5 in descending order.\nAnswer: d, -5, -406","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (6 + 1 + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5\/238 - -856\/3927. Let p be 2\/3 + (-280)\/528. Let w = p + d. What is the third smallest value in w, -0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 452 - 95 = 5*z - 3*a, -4*z - 5*a + 256 = 0. Suppose 5*t - 393 = 4*m, -2*t - 4*m + 105 = -z. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*p - 10, 3*p = -k - 3*k - 23. Let x be (56 - 51)\/(26\/(-4)). Which is the nearest to p? (a) x (b) 1 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -901*z**8\/336 + z**5\/15 + 11*z**4\/24 - 62*z**2 + 3. Find the third derivative of w(k) wrt k.\nAnswer: -54060*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4864611+1.933\nAnswer: -4864609.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*sqrt(2) + (sqrt(72) + 1)**2 + sqrt(18)*1*-4.\nAnswer: 2*sqrt(2) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 161303484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-2))\/(-3)*(-4)\/15?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/7 (b) 3 (c) -5\/2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1983737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y - 2*y)*(0 + 3 - 1)*(-16 - 17 + 16).\nAnswer: 68*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16823 is divided by 390?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 15\/13 (b) -9\/2 (c) 214 (d) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 5*a + 8. Let o be q(6). Let i(x) = 2*x**3 - 2*x**2 - x - 1. Give i(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90308 and 876494.\nAnswer: 187569716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -1 - 44\/(-2). Let n be (-84)\/((-1)\/9 - (-96)\/(-108)). What is the highest common divisor of p and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 13. Let q be v(10). Solve 4*u - u = q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/2279244 and 67\/73524.\nAnswer: 2279244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -21037.16785 to the nearest one hundred.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(2448) + 5 - (((sqrt(2448) - (sqrt(2448) + -1)) + sqrt(2448))*1)**2 - -3*(-1 + -1 + sqrt(17) - sqrt(170)\/sqrt(160))**2.\nAnswer: -38453\/16 - 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 2*y + 5*y + 208, -225 = 5*b - 5*y. Let v = 29 + b. Let d = 104 + v. Round d to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.098149 + 0.0963. What is n rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -1\/3*m**3 + 0*m**2 + 0 - 1\/3*m**4 + 3*m. Factor a(q).\nAnswer: -2*q*(2*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -88508, -88552, -88626, -88730, -88864?\n\"Answer: -15*t**2 + t - 88494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y - 36*y = -24 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from lwjejlzljjwj.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 132628229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 79?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 98 and -6?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 16) in base 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**4\/3 + 32*c**3\/3 - 46*c**2\/3 - 1120*c - 3675 = 0?\nAnswer: -5, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5177 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 119430 and 55.\nAnswer: 1313730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5\/8)*q*(q*q\/(q**33\/q))\/q*q**(-34)*q**36*q assuming q is positive.\nAnswer: q**(-221\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82.8 + -68. Let z = o - 14.6. Sort 17, -0.1, z in increasing order.\nAnswer: -0.1, z, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 160 + -113. Let p = l - 51. Let c be 0\/(-1) + (4 - 9). What is the second biggest value in 0.5, p, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 3:54 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112100 and 725?\nAnswer: 3250900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o - 176. Let h(a) = -44. Let n(t) = b(t) - 4*h(t). Let i(v) = 588*v. What is n(i(l))?\nAnswer: -2352*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 + 35. Find the second derivative of u**2 + 7*u - 2*u**m - 6*u + 22*u wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 889031 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -5467*n**4\/4 - 28*n**3 + 3*n**2 - 1. Let a be j(16). Round a to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x. Let g(o) = -o**2 + 7*o + 2. Let d be g(5). Let b(k) = -3*k. Let l(q) = d*t(q) - 3*b(q). Is l(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005 + -26904?\nAnswer: -26904.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*a + 5. Let d be (-3)\/((-2)\/4*a). Suppose 4*g + 4*k - 22 = d*k, -5*g = 4*k - 34. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.035947 and 0.3?\nAnswer: 0.0107841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/143? (a) 2.2 (b) 2 (c) -39.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 471*n**3\/2 - 929*n**2\/2 - 1897*n - 52.\nAnswer: (n - 4)*(n + 2)*(471*n + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -z**5\/60 - z**4\/4 + 134*z**2. Let u(f) = -3*f**2 + 16*f - 52*f + 4*f + 15*f. Let g = 2 - 8. Calculate g*u(w) + 17*s(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 52308 + 18588 = 0. Suppose -l = -20*s - 0*s. List the prime factors of s.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 49?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47 and 188?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 234233344 - 2?\nAnswer: 234233342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -10*v + 16*v. Suppose -t + 6 = v*u - 3*t, 0 = -4*u + 4*t. Solve -10 = u*n - 4*y, 2*n + 0*y - y + 4 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 8. Let t(j) = -15*j**2 + 65. Let o(q) = 25*g(q) - 3*t(q). Factor o(r).\nAnswer: -5*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -226 divided by -113?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -92031, 0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**3 - 8*y - 6 - 10*y**2 + 2*y**2 - 3*y**3. Let a be x(9). Let h = 24 + -167\/7. What is the closest to 0 in a, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/2, -28376, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 1. Let w(o) = -1. Let z(i) = i + 25. Let m be z(-17). Suppose -a + m*a = -35. What is a*w(c) - 5*k(c)?\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.8601812 to 1 dp.\nAnswer: 17.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31118.\nAnswer: 2, 15559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -170267, -681524, -1533773, -2727014?\n\"Answer: -170496*s**2 + 231*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 33 - 15. Let a(v) = 7*v**2 + v + 2. Let m(j) = 6*j**2 + 1. Let g(h) = -5*a(h) + 6*m(h). Does 18 divide g(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -52494?\nAnswer: 52499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1225 - 381 = -15*j + 145*j - 1106 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(99)*-2*-6)\/((sqrt(54) - (sqrt(162)\/sqrt(3) - sqrt(54)))\/sqrt(6)).\nAnswer: 5 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54005153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 1803*a + 7174. What is i(-4)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(32)\/sqrt(4) - sqrt(8)) + 3*(sqrt(2)*1 + sqrt(2) + sqrt(2)) + ((-2*sqrt(484) - sqrt(484)) + sqrt(4))\/sqrt(2))**2.\nAnswer: -230*sqrt(2) + 1083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -44124501424?\nAnswer: -44124501433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*y**2 - 9*y**6 + 28*y**6 + 5*y**2 - 3*y**3 - 16*y**2 wrt y.\nAnswer: 2280*y**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 10:32 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38.9 + 38.9181. What is j rounded to three dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.0051, -8\/965, -4 in decreasing order.\nAnswer: 2, -0.0051, -8\/965, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l + 1. Suppose -4 = -i - 5, 0 = -j + 3*i + 7. Suppose -4*w = -2*w + j. Let t be -1 + (-2 - w\/1). What is u(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 3:09 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251582741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100001111010 + 0?\nAnswer: -10100001111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - -12 - (-14 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -4*p - 2*p**2 + 12 - 7\/3*p**3. Let i(u) = 27*u**2 + 15*u + 15. Determine 4*i(m) + 15*s(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = 2*z + 2. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 27, 17, 5, -9, -25, -43?\n\"Answer: -m**2 - 7*m + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28373 is divided by 125.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*x - 16 = 0. Which is the fourth biggest value? (a) x (b) 1 (c) -1\/7 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 4*n**2 + 88*n - 350. Let q be p(4). Sort q, -4, 3, 0, -1296.\nAnswer: -1296, -4, 0, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + i**2 + i**2)*(2 - 1 - 5)*(13*i - 35*i - 17*i).\nAnswer: 156*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1789, -934, -0.3, -2\/7 in decreasing order.\nAnswer: -0.1789, -2\/7, -0.3, -934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkbbccmmtktkb. What is prob of picking 2 m?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, 1, -12, 99.\nAnswer: -12, -4, 1, 7, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 865.\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12166, -12165, -12164, -12163, -12162?\nAnswer: -12161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4.8235698 minutes?\nAnswer: 0.00334970125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2070*f**2 + 10455600*f - 10455600*f + (4 - 3 + 1)*(-2*f**2 + 0*f**2 + f**2) - f - f**2 + f.\nAnswer: 2067*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -31789083890562 take away 0.5?\nAnswer: -31789083890562.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 160 = -56. Let o be (8\/10)\/(n\/(-10)). Let v = -2.04 + 0.04. What is the nearest to -1 in o, v, 1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -273923, -273924, -273925, -273926, -273927?\nAnswer: -273928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 0. Let t be 210\/10*6\/(-7). Let v = t + 13. Sort q, v, -3 in descending order.\nAnswer: q, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 3, x: 3, f: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 803 is divided by 783.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3*v - 2*v = -15, 25 = 5*q + 5*v. Let y = 1.96 - -0.04. What is the third biggest value in y, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 + u**2 + u**2 - 5*u**2. Let l = 6 + -4. Let g(f) = -l*f - 2*f + 2*f. Calculate p(g(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*j + 6*j + 119*j + 38*j.\nAnswer: 129*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26222 + 74350. What is the thousands digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1945504 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (2 - -2)) + -59 + 68.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 251\/88 + -9\/8. Find the common denominator of 137\/6 and g.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12\/(-15) - ((-12366)\/45 + 1) is divided by 22\/((-24)\/(-10) + -2)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -7.91, -1, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 - 53*m - 1265. Let c be n(0). Is c less than -1267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-16))\/(301\/((-45084984)\/(-237)))\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -374 - -526. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*x = 4*y + 2, 0 = -2*y + x + 5. Solve 0 = -r - 3*b + y*b - 4, b = -4*r - 19 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 4:40 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1584 + 1588. Let u(b) be the second derivative of 1\/3*b**x - 19*b + 3\/5*b**5 + 0 + 0*b**2 + 2\/21*b**7 + 2\/5*b**6 + 0*b**3. Solve u(l) = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2453*b - 68883. Calculate l(28).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) 0.023 (c) -6 (d) -1 (e) -0.1 (f) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5*c + 10, -18*c + 10 = -13*c. Solve -l + 1 = 2*t - 5, b = -4*l - 16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 39354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5 = 75. Let h = 57 + l. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*i**3\/5 - 33*i**2\/5 + 18*i\/5.\nAnswer: 3*i*(i - 2)*(4*i - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3793434?\nAnswer: 2, 3, 157, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-6) - (-3754786)\/42. What is n rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 66.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16155 + -2?\nAnswer: 16153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 16687 divided by 407\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnmnbbffm. Give prob of sequence nbf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 681175 is divided by 1393?\nAnswer: 1391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.66*-0.025.\nAnswer: -0.0915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 257353 + 105.066.\nAnswer: 257458.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2903451*p**5 - 22*p**4 + 148950722*p**2 wrt p.\nAnswer: 174207060*p**2 - 528*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-60)\/45)\/((-6)\/9). Suppose -3*n + 2*o = -12, 7*n = 2*n - a*o + 4. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29037*j**4*v**2 - 6*j**3*v**3 - 92*j**2*v**3 - 736*v**3 wrt j.\nAnswer: -696888*j*v**2 - 36*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/155578 and 70\/174303?\nAnswer: 253436562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 7*k + 128. Let m be d(-18). Solve m = b - 0*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -13*m + 27*m - 16*m. Let i(z) = 5*z**2 + 4*z + 4. Let l(k) = -6*k**2 - 3*k - 3. Let o(s) = -3*i(s) - 4*l(s). What is o(d(u))?\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200 + 121212?\nAnswer: 200112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 3, 0.2, -1, -3, 12291 in ascending order.\nAnswer: -12, -3, -1, 0.2, 3, 12291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.28303 + 0.04747. What is i rounded to two decimal places?\nAnswer: 1.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4681.995974 + 4682. What is s rounded to 4 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -32990 + 40?\nAnswer: -32950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = 2*d + 5*t, 3*t = 5*d - 0*d + 249. Let n = 52 + d. Suppose n*k - 19 - 17 = 0. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 6) to base 8\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93 - 87. Let q(y) = 6*y**2 + 5*y + 9. Let t be q(-4). Let i = t + -5. Calculate the smallest common multiple of i and l.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3100)\/62*1167\/(-5). Calculate the highest common divisor of 10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/7 + 1720*a - 24088\/7.\nAnswer: 2*(a - 2)*(a + 6022)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(50)*2 - (sqrt(450) + (-2*sqrt(450) - sqrt(450))))\/(5*sqrt(250) - sqrt(20)\/(sqrt(8)\/sqrt(4))).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1635 - 1627. Calculate the least common multiple of b and 30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9379\/6 bigger than -1564?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.546521g to tonnes.\nAnswer: 0.000000546521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(3*1\/3). Solve 4*z = -p - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11050, 22071, 33090, 44107, 55122, 66135, 77146?\nAnswer: 88155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -88, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**4 + 1557117*m**3 + 202051891191*m**2 + 202047219855*m - 404100668166 = 0. What is m?\nAnswer: -259519, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 704 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -511*s + 4613. Calculate h(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 509 = -5*x, -4*h - 7*x + 1078 = -9*x. What are the prime factors of h?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + -0.4. Let i = v + 4. What is the second smallest value in -2\/7, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 228368 - 1148481\/5. Let v = a - -1324. What is the common denominator of 39\/7 and v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, j: 3, e: 1, d: 2}. What is prob of picking 2 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1925.3 and 6?\nAnswer: -11551.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - ((-8 - -4) + (-6 - -42) + -18).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/149331 and 73\/42666?\nAnswer: 298662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 24*w**2 + 5352*w - 5. Determine a(-223).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**1\/r*r)\/r)**(-1\/2)\/(r**(-2\/3)*r*r)**(11\/2))**26 assuming r is positive.\nAnswer: r**(-572\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3483, 11887, 25899, 45525, 70771, 101643?\n\"Answer: i**3 + 2798*i**2 + 3*i + 681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(2\/5)\/t)\/(t*t*((t**(-4)*t)\/t)\/t))**28\/((t\/(t**(-1\/2)*t*t)*t)**(-28))**(-1\/27) assuming t is positive.\nAnswer: t**(12782\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 105, 6330, 0.1, -1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-155)\/(-31)*(-1)\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -15*s**2. Let u(x) be the first derivative of 0*x - 19 + 3\/2*x**2. Calculate u(i(m)).\nAnswer: -45*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5231839198 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 526, -19.17, -4, -1?\nAnswer: -19.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 45 - 13 = 0. Let g = m - 5. Suppose o - 2*o = -g. Solve 2*u + o = 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 5 + o + (-o + o - 2*o)*(1 - 1 + 1))*(2 + 1 + 5).\nAnswer: -8*o - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*g - 103 + 71 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*g**5 + 95*g**5 - 3*g**4 + 5*g**4 - g**5 + 0*g**5 - g**5 - 2*g**5 + g**5 + 2*g**5 + (0*g + 0*g + g)*(4*g**4 + g**4 - 3*g**4).\nAnswer: 64*g**5 + 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18484011.\nAnswer: 3, 7, 13, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -2 (b) 39 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5a1 (base 11) to base 10\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -3\/5, -2, 366, 0.02, -0.2 in ascending order.\nAnswer: -2, -3\/5, -0.2, 0.02, 31, 366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b - 2. Let k(f) = 5*f - 3. Let l(t) = 2*k(t) - 3*n(t). Let c(p) = -6*p. Calculate c(l(x)).\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*v = -3*q + 7, 2*q - 3*v + 8 = 0. What is the closest to q in -1, 1\/2, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 + 100*r**3 - 9*r**3 + r**2 + r**2.\nAnswer: 91*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuri. Give prob of sequence ru.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5259137 + 1084.3?\nAnswer: -5258052.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.4 + -1.4. Let m = 3.7628 - 1.7628. What is the closest to r in -0.05, -2\/9, m?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78984.402 rounded to the nearest one thousand?\nAnswer: 79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0 = -3. Find the third derivative of 0*a**6 - j*a**2 + 3*a**6 + 0*a**2 wrt a.\nAnswer: 360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (22\/(-8))\/(19\/266). Let g = 39 + n. Suppose a - 1\/2*a**4 - 3\/2*a**3 + 1\/2*a**2 + g*a**5 + 0 = 0. What is a?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/3))**43 assuming z is positive.\nAnswer: z**(172\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1550, -3098, -4646, -6194, -7742?\nAnswer: -9290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 10, -3*g - 4*o - 19 = o. Let i(h) = 2*h**2 - 4*h + 4. Let x be i(g). Let t be 4 + 20\/(-15) - x\/6. Solve -7*c + t*c = 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-105)\/6)\/(-7))\/((-1)\/(-6)). Suppose p = -8*h + 3*h. Are h and -8\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -10. Let m(f) = -12*f + t*f - f**2 + 3*f - 6. Determine m(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160\/(-176) - 1\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0025647096 to 6 decimal places.\nAnswer: 0.002565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -1\/60*d**5 + 0*d - 1\/6*d**3 + 1\/30*d**6 + 2*d**2 - 20 - 1\/8*d**4. Let i(j) = 3*j**3 - 2*j. Give -3*i(x) + 2*k(x).\nAnswer: -x**3 - 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -1044*d**5 + 54281*d**4 - 1039460*d**3 + 8679108*d**2 - 26668160*d - 179200 = 0.\nAnswer: -7\/1044, 10, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 87\nAnswer: 5\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*j**2 - 11*j**2 - 2*j + 3*j.\nAnswer: -36*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 3103?\nAnswer: -3102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2846 divided by 2846.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 14*h - 14. Give n(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**4\/3 - 574*c**3\/3 - 77310*c**2 - 15451250*c\/3 + 83125000\/3 = 0.\nAnswer: -125, 5, 532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -287087, -10, 14 in decreasing order.\nAnswer: 14, 5, -10, -287087","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {u: 6, t: 2, i: 2, l: 3, k: 1, z: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/2))**(-4)\/(u**(-2\/15)\/((((u**0*u)\/u*u*u)\/u)\/u)) assuming u is positive.\nAnswer: u**(-88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -242 - -268. What is the third derivative of 110*g**3 - q*g**2 + 117*g**2 + 23*g**2 + 27*g**2 + 99*g**2 wrt g?\nAnswer: 660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k. Let h(z) = -33555*z**2. Give f(h(b)).\nAnswer: 33555*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 743 (base 9) to base 16\nAnswer: 25e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 273*w - 4593. Calculate j(17).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -302\nAnswer: -1\/302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**5\/60 - 5*q**4\/24 + 11*q**3\/2 + 9*q**2 - 2*q. Let x be v(11). What is the greatest common divisor of 33 and x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7 - -2.3. Let r = 0.2 - -0.8. Sort 3\/2, r, n in descending order.\nAnswer: n, 3\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 18*n + 78. Let k(j) = 11*j + 39. Let b(f) = 6*g(f) - 10*k(f). Let u be b(37). Find v, given that 2 - 3\/2*v**2 - v**3 + 1\/2*v**u + 2*v = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -18. Suppose -2*w + 4 - 12 = u. What is the units digit of (736\/(-40))\/(w\/10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140799?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1, 1017, -77, 0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2058 is divided by 307?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/((1*sqrt(77))\/sqrt(11)) - -2*(-4 + sqrt(153)).\nAnswer: -8 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1627055663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -1 - 2*c - 5*c**2 - c**3 - 1 + 2*c**2 - 2. Let p be q(-3). Find the third derivative of -15*y**4 + 166*y**p - 77*y**2 - 79*y**2 wrt y.\nAnswer: -360*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-128)\/22 - (-1 + -5). What is the second smallest value in q, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13\/7 or -3\/5?\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 25. Let s = q - 8. Which is the smallest value? (a) -4 (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2828537\/30 smaller than 94285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1550157*s**3 + 5*s**2 - 2000045 wrt s?\nAnswer: 4650471*s**2 + 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vjwajgw. What is prob of sequence jgww?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(-22)*t)\/(t**13\/t)*t**6*t**2 assuming t is positive.\nAnswer: t**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -22. Let f = w + -11. Do 0 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxff. Give prob of sequence ffxx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*j - 136*j - 16284 = -55*j for j.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -413 - -411. Let d(t) = -19*t**3 + t + 1. Let r be d(-1). Sort 2, l, r in descending order.\nAnswer: r, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10034.5735*0.1.\nAnswer: 1003.45735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 2. Let b(h) = 15*h + 36. Let n(c) = -b(c) - 18*t(c). Let y(s) = 58*s**2 - 10*s + 1. What is n(y(v))?\nAnswer: 174*v**2 - 30*v + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3367979?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gfrfflfgr. Give prob of sequence fgrf.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -853 - -853.4. What is the third biggest value in q, -3\/7, -2, -63?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*a + 124*a - 257*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 3. Let c(w) = 464*w - 159. Let z(l) = -c(l) + 3*h(l). Find the first derivative of z(g) wrt g.\nAnswer: -467","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7111481\/121 - 58773. What is the common denominator of m and 45\/253?\nAnswer: 2783","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - -6*sqrt(432)*1 - 1*(sqrt(432) + 2)) + -2)**2.\nAnswer: -576*sqrt(3) + 15568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-15) - 357\/(-105).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -448416*j - 87385.\nAnswer: -448416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 109641 and 125304.\nAnswer: 877128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001 (base 3) to base 11.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/(-39)*(32\/10 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*v + 108*v = 1050. Solve v*p - 6 = 27*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 0*c**3 - 2*c**2 - 2 - 1\/12*c**4 + 1\/60*c**5 + 0*c. Let d(w) be the second derivative of v(w). Let d(x) = 0. Calculate x.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v = -6 - 8 - 16. What is the least common multiple of 22530 and v?\nAnswer: 22530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-124)\/12 + 7)*9\/(-6). Suppose 5*y = -o - x, 3*o - 20 - 3 = 4*y. What is the closest to 2 in -3, o, 3\/7, 4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**3\/3 - p**2\/2 + 2*p + 11. Let j be q(0). Let a be 2\/((-1 - 0) + j). Solve a*v = -4*x - 14, 3*x + 3*v + 1 = x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/1782 and -149\/5544?\nAnswer: 49896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 33 = -4*p, 0*p = -p - 5*t + 27 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.7 rounded to zero decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 88 - 58. Calculate the remainder when 88 is divided by u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/6*24\/(-12). Let g(a) be the first derivative of a**2\/2 + a + 2. Let x(h) = 2. Let p(c) = l*x(c) + 2*g(c). Let r(v) = 20*v**2. Determine p(r(y)).\nAnswer: 40*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*r**4 - 267*r?\nAnswer: 300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14200 (base 7) to base 2.\nAnswer: -111100011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -1) + (38 - 20 - 25)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 16826530*d.\nAnswer: d*(d + 16826530)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 3 = 151*u - 154*u, 0 = -5*y - 3*u + 27 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (76 - 61*w**2 - 76)*(-4 - 4 + 6) + 14*w**2 + 18*w**2 - 6*w**2 to the form p + c*w**2 + a*w and give c.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/3*(-10 - 20). Let y be (-15)\/j*-2 + 2 + -5. Factor -2\/13*p**4 + 0*p + y - 4\/13*p**3 - 2\/13*p**2.\nAnswer: -2*p**2*(p + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 21.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.77 plus -17469?\nAnswer: -17467.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*-1*(((sqrt(5) - sqrt(10)\/sqrt(2))*-4)**2 + -5)*-5 + 1).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 94 - 78 + 104 = 0 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19, -16, -9, 2, 17, 36, 59?\n\"Answer: 2*w**2 - 3*w - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.491 and 3?\nAnswer: 3.491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225) - 6*(sqrt(225) + -2*sqrt(225) - sqrt(225) - sqrt(225)))\/sqrt(9))\/(sqrt(720) - sqrt(720)*-3*-4).\nAnswer: -19*sqrt(5)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 187580.75 to the nearest 100.\nAnswer: 187600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*z + 114*z - 3340 - 8087 = -205*z for z.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 300585 and 22475.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1187673986 to the nearest integer?\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -j - 4*g, -4*j - 9*g - 1 = -10*g for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -54\/11?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008938775 rounded to 6 decimal places?\nAnswer: -0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33801332, -67602647, -101403962, -135205277, -169006592, -202807907?\nAnswer: -236609222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -3 (c) 4 (d) -45 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67083 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1897517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 34 = -6*j - 13, 17 = -j + 30*f - 31*f for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 18*r**3 - 3566*r**2 + 424*r - 5536. Give x(198).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2277 - -1585. Let z = p - -1035. Let r = z - 4. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 6*q. Let h be x(6). Let f be 2\/8*8\/(-6). Let y = -0.0678 + -0.1322. Which is the smallest value? (a) y (b) f (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 1. Let d(r) = -7*r**2 + 47*r + 4. Let i(f) = -d(f) + 2*w(f). Find the second derivative of i(z) wrt z.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129459727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4\/9 (b) -0.2 (c) 81 (d) -4 (e) -63 (f) -13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(75)*4 + 3 + sqrt(75).\nAnswer: 8 + 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -62, -106, -158, -212, -262, -302, -326?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*j = -61*j - 16. Find the third derivative of -7*u**j - 3*u**2 - 36*u**2 - 22*u**4 wrt u.\nAnswer: -696*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 6*q**2 + 5*q - 2. Let m be p(-5). Let c = m - -1. Let s = 1.2 + -1.1. What is the nearest to c in 0, s, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 0.4 (b) -4 (c) -296\/301 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53220680 is divided by 8555?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0*o - 3. Let d be 4 - (o + 0) - -3. Suppose 5*u - 61 + 8 = m, 0 = -u - 2*m + d. Calculate the smallest common multiple of 18 and u.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 + r - 1. Let y = -10 + 6. Let n be (6\/y)\/(15\/20). Calculate d(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t - 3*n + 9, -5*t + 89*n - 15 = 93*n for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 10, 105, -111 in ascending order.\nAnswer: -111, -3, 10, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a**2 + 0*a**2 - 2*a**2 - 6*a**2)*(2 + 5 + 0) to h + x*a**2 + c*a and give x.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2 = -7. Suppose s*h - 47 = m, 0*h - 7 = -h - m. What is the highest common divisor of 45 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 122145 or 1343586\/11?\nAnswer: 1343586\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15639, -31290, -46951, -62622, -78303?\nAnswer: -93994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 5)*(17 + 20 - 2*r - 29) to k + u*r and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 3*z**2\/2 + 12*z + 4. Let a be k(-5). Is (a - -2) + 43 - -3 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 489, 976, 1463, 1950?\nAnswer: 2437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -1023*f**7\/70 + 1222*f**3\/3 - 20*f**2 + 40. What is the first derivative of q(s) wrt s?\nAnswer: -12276*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 13652*g - 13720. Give w(1).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(304)*2)**2.\nAnswer: 43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 + 42. Let q be a\/18 - (-10)\/3. Suppose 5*b - q*b = 14. What is the greatest common divisor of 70 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -22, -1263, 5, 10, -1 in descending order.\nAnswer: 10, 5, 1, -1, -4, -22, -1263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p - 16*p**2 + 6 + 10*p**2 - 14 + 4*p + 5.\nAnswer: -3*(p - 1)*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 907.\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9931716?\nAnswer: 2, 3, 275881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - 668\/(-96) - -23.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.55 - -15.45. Let y = 13.506231 + 2.493755. Let i = h - y. Round i to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11222 + -30202?\nAnswer: -12320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2992 + 2992.5. Put 111, x, 5 in increasing order.\nAnswer: x, 5, 111","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -4*t + 19, -2*t + 0*t + 4 = -4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -14801*d - 6320038. What is x(-427)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -106 + 105.97. What is the biggest value in m, 3, 6, -1\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/11 - (-5375250)\/550 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8247213 divided by 39?\nAnswer: -211467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 + -46.2. Which is the third biggest value? (a) 1\/2 (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5720 in -5, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -23, 20.\nAnswer: -23, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, -0.04, -0.5, -4, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 7. Let s be 4506\/30 - (-2)\/(-10). Calculate the remainder when ((-2)\/(-5))\/(6\/s) is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 330 - 326. Solve 7*f - y*f - 6 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6110 and 260.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -461 smaller than -465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 347.681 + 0.319. Let z = -348 + x. Which is the nearest to -0.06? (a) 0.2 (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -23.98, -1\/12, 0.5?\nAnswer: -23.98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51*u**6 + 30*u**5 + u**3 - 75042*u**2 wrt u?\nAnswer: -6120*u**3 + 1800*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22349816 to the power of 1\/3, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(6\/5)\/(z**(-3\/5)*z))\/(z**(-1\/3))**(4\/31))\/((z\/z**2*z*z)\/(z*z*z**(-7))*z**2\/z*z*z**(-4)) assuming z is positive.\nAnswer: z**(-1468\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, 5, 0.0659, -6\/13 in descending order.\nAnswer: 5, 0.0659, -6\/13, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/13)\/(f\/f**(-9)))**0*((f*f\/(f\/f**(2\/11))*f)**(3\/22))**38 assuming f is positive.\nAnswer: f**(1368\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**2 - 4*c + 2. Let v(d) = -13*d**2 - 17*d + 9. Suppose 3*z = 32 + 103. Let s = z - 28. Let t = 8 - s. Give t*f(q) + 2*v(q).\nAnswer: q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1200212648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qeeq when four letters picked without replacement from {q: 4, o: 11, e: 3}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.0462 (c) 0 (d) -2\/3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -2, -22, -171, 6 in increasing order.\nAnswer: -171, -22, -2, 0, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 143*z - 33. Let x(r) = 9*r - 57 - 51 - 59 + 165. Give -4*d(c) + 66*x(c).\nAnswer: 22*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 232 - 229. Suppose 0 + 11\/2*m**4 - 3*m**q + 5*m**5 - 5\/2*m**2 + m = 0. Calculate m.\nAnswer: -1, 0, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + (-5)\/(-3))\/((-22)\/33)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4289053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-120)\/(-525))\/(6\/15)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**6\/30 + 7*s**5\/30 - 2*s**4\/3 + 5*s**3\/3 - 7*s. Let x(v) be the second derivative of w(v). Let x(i) = 0. Calculate i.\nAnswer: 1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**4\/7 + 18*c**3\/7 - 90*c**2\/7 - 226*c\/7 - 120\/7 = 0?\nAnswer: -12, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(9\/(-3)))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b - 20. Let x(h) = -2*h**2. Determine t(x(y)).\nAnswer: -2*y**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 274415367, 274415369, 274415371, 274415373, 274415375, 274415377?\n\"Answer: 2*r + 274415365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11713*o**3 - 11480*o**3 + 23282*o**3.\nAnswer: 89*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 + 3*j + 2. Let t(k) = -2*k - 4 - 2 - 7 + 3*k. Suppose -5*w + 19 + 56 = 0. Let p be t(w). Let l(q) = q + 1. Calculate p*l(o) - d(o).\nAnswer: -3*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*o + 428 - 292 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3 = 0, 0 = -6*m + 7*m + 3*f - 6. Solve -4*s + s = 3*k, 2*s = -m*k + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 1429 = 203*d, -3*q - 9 = 1715*d - 1718*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 178\/7 (b) 16 (c) 435\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 1. Let y(x) = 8*x - 3. Let v(u) = -2*r(u) + y(u). Does 4 divide v(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 12*h - 11. Let m be g(11). What is the smallest value in 1\/9, -1\/2, m?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 88365 and -5920780.\nAnswer: -5832415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (13 + -2 - 7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**3\/8 + 446*i**2 - 7143*i\/8 - 5355\/4 = 0.\nAnswer: -3570, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/8 + -2 + (-7)\/(-28).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*r + 64*r - 3374 = 201*r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143214632.\nAnswer: 2, 11, 147949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 530, 5, 4688.\nAnswer: 4, 5, 530, 4688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l + 16 + 3*l - 42 + 21 in the form i + k*l and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3711.03ml to litres.\nAnswer: 3.71103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5001.536 micrograms in kilograms?\nAnswer: 0.000005001536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*f - 4*i - 68 = -80*f, -8*f - 5*i = -84 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d - 2*d)*(-6 + 6 - 5*d) + 2*d**2 + 4*d - 4*d - 3*d**2 + 2*d**2 + 0*d**2.\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38529958393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 6 = -30. Let n be 2 + c - (2 + 28\/(-7)). Solve 3*x + 0*j - 3*j - 3 = n, 0 = 2*x - 5*j - 14 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 2:22 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 184*w - 62289. Calculate i(339).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 + -11001000010000001100?\nAnswer: -11001000001111111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 145899264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98384, 98395, 98414, 98441, 98476, 98519?\nAnswer: 98570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j**2 + 13*j - 5. What is r(5)?\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4905\/900)\/109*-28.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + sqrt(637))**2*2 - (-4*sqrt(637) + -3*sqrt(637))**2.\nAnswer: -29937 + 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 54*o**2 - 274*o - 20. What is the remainder when s(19) is divided by 95?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 2*y - 62 = -a, 5*y + 1425*a - 1429*a + 197 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1900)*3)*5 + 4 - (-2 + sqrt(475) + 3 - (1 + sqrt(475)*4)).\nAnswer: 29 + 165*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, t: 3, s: 3, o: 3, g: 1, j: 3}. Give prob of picking 1 o, 1 t, and 1 s.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29*k**4 + 109*k**3 + 2*k + 112083.\nAnswer: -116*k**3 + 327*k**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -240, -496, -750, -1002, -1252, -1500, -1746?\nAnswer: -1990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13762?\nAnswer: 2, 7, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 17*u - 12. Calculate the smallest common multiple of o(1) and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-10))\/((360\/(-75))\/(-12)). What is the closest to 2 in y, -7, -2\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39414, 78834, 118256, 157680, 197106, 236534, 275964?\nAnswer: 315396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-2))\/((-6)\/(-20)). Suppose z - i*z + 52 = 4*u, 3*z = -u + 49. What is the lowest common multiple of 16 and z?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -275*j**2 + 0*j + 22*j - 22*j in the form f + l*j + z*j**2 and give z.\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 657574062?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1991876 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1 - ((0 - -13) + -16)) + -4 + 8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (-5 + -44 - -42)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 0. Let s = -6 - t. Let g = 67\/80 - 7\/16. Which is smaller: s or g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 122.2 - 121.9. Which is the closest to 0.1? (a) -2 (b) n (c) -5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b**9\/b*b)*b)\/((b**(-2\/25)\/b)\/b))\/(b\/(b\/(b\/(b*b**7)))*b*b)**(-30) assuming b is positive.\nAnswer: b**(-3848\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 - 0.03. Let i = -2.167 - -0.087. Let t = d - i. Which is the biggest value? (a) -0.4 (b) 3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 265\/413 + -21\/59. Suppose -2*z = -0*n - 2*n, n + z - 4 = 0. Sort 0.5, -5, n, v in descending order.\nAnswer: n, 0.5, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 f when three letters picked without replacement from iqgfiqgfqifgq.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 533348064 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 728*i - 3 + 2.\nAnswer: -728*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-1 - 33\/(-30)). Let g(i) = i**2 - 26*i + 30. Let w be g(11). Is (-15)\/q*(w + (-9)\/(-3)) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5*l**2. Let p(a) be the first derivative of -1\/2*a**2 + 7 + 0*a**3 + 1\/12*a**4 + 0*a. Let x(d) be the second derivative of p(d). Calculate c(x(j)).\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -30. Sort h, -1, 4.\nAnswer: h, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346*n**3 + 1 - 1 + 336*n**3.\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**3 - 2*f**3 + 0*f**3 + (-2*f + 1 - 1)*(f**2 - 3*f + 3*f) - 75*f**3 - 182*f**3 - 81*f**3 + (-2 + 2 - f)*(f**2 - 4*f**2 - f**2).\nAnswer: -338*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2266 + -8191. Let k = c - -35467\/6. What is the common denominator of 67\/6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**3 + 2*h**2 - 2. Let j(z) = -z**2 + 1. Suppose -43 + 19 = -3*f. Let x be (f\/(-56))\/(3\/(-21)). Give x*g(k) + 2*j(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 17. Suppose -h - 3 = -2*h. Let f be 10 + g\/h*2. Calculate the greatest common divisor of 40 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -57, -103, -165, -243?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1250 and 816.1?\nAnswer: -1020125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3031206215.\nAnswer: 5, 606241243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22328569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -36953, -73365, -109777, -146189?\n\"Answer: -36412*u - 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50338243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 10. What is the closest to -2\/7 in q, 1\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96808*111\nAnswer: 10745688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 125*z**3 + 325*z**2 + 260*z + 60 = 0.\nAnswer: -6\/5, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 734 + 889 = -139*n - 740 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -12. Suppose 8 = 2*h - p, 3*p = h + s + 1. Solve -h = -2*k + 3*a + 2, -3*a = -3*k + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, t: 7}. What is prob of picking 2 v?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1, -13, -41, -91, -169, -281, -433, -631?\n\"Answer: -z**3 - 2*z**2 + z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 274 + -276. Let i = -186 - -187. Put i, p, 3, 0 in descending order.\nAnswer: 3, i, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cpryprs. Give prob of sequence ps.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4.295 * 3\nAnswer: 12.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -869*m + 867*m + 5*p + 14, 0 = m - 2*p - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**5\/60 + h**4\/12 + h**3 - h**2. Let g(i) = -i - 1. Let t(w) = 6*g(w) + u(w). What is the second derivative of t(q) wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o + 15*o = 4*y + 38, 0 = 2*o - y - 14 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/10 and -61\/249.\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9280042, 9280049, 9280060, 9280075, 9280094, 9280117, 9280144?\n\"Answer: 2*g**2 + g + 9280039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -7. Let z(c) = -c**2 + 5*c - 2. Let i be z(a). Suppose -5*l + 2 = -2*l + 2*r, -2*l + 5*r = -14. Is i smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -35*t - 6. Let u(l) = -27*l - 5. Let d(s) = -3*a(s) + 4*u(s). Let k = 0 - 4. What is d(k)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + 10 + 45 + 1 + 3. Suppose 4*l - 4*v - 66 = 126, -l - 2*v + w = 0. What is the greatest common factor of 350 and l?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10415.97 + 10416. Which is the biggest value? (a) o (b) -10 (c) -21 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87 - 83. Calculate the smallest common multiple of w and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/3*(-18)\/(-4). Let u(b) = 8*b - 314. Let y be u(41). Suppose 28*q = l*q + y. What is the lowest common multiple of 22 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 53*o**3\/6 - 34*o**2 + 11*o - 1. What are the prime factors of w(5)?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384*z - 26494980 + 1796100 = 0. Round z to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by -36.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 2*s**2 - 2*s - 4. Give h(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + r - 12. Let g be q(18). Let x = 453 + g. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -300.9004 - -301. Let p = t + -0.214. Round p to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-2\/3))\/r)**(9\/4)*r**1\/r**(2\/5))\/(((r\/((r**(6\/7)*r)\/r*r))\/(r*r*r*r**(-6)*r*r))\/(r**0*r)**(-8\/11)) assuming r is positive.\nAnswer: r**(-1363\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126536 is divided by 74.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1272 and 271896?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 36 + -2 + -42 - 117?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.96 - 1.16. Which is the nearest to 0? (a) 0 (b) -0.5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 3. Let s be m(-3). Let p be s\/15*(5\/(-4) - -1). Let o = 24.7 + -25. Which is the second biggest value? (a) p (b) o (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 11*n**2 - 4. Suppose -13*g = -14*g + 29. Suppose 7 = -3*h + b - g, b - 14 = h. What is z(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91955433?\nAnswer: 3, 29, 1056959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -17, -0.14 in increasing order.\nAnswer: -17, -0.14, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -36. Suppose -5*p - r = -0*p. Let c be (p + 2 - -6) + -2. Solve -b - c*b - 8 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1936608 divided by -3?\nAnswer: 645536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8761609?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -6. Suppose -s*p + 26 = 2*n, 5*p + 0 = -5*n + 20. What is the second derivative of -3*b + p*b**4 + 6*b + 0*b wrt b?\nAnswer: 108*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -234556 divided by 2.\nAnswer: -117278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6595 = 440*m - 34*m - 1614 + 9229 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 13452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11 + -7)\/((-2)\/(-3)). Let p(q) = 3*q**3 - 13*q**2 + 8. Let r be p(z). Let y = r + -131. Does 24 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 26529, 105772, 237833, 422712, 660409, 950924?\n\"Answer: 26409*f**2 + 16*f + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 11 + 47. Suppose 3 = -3*q, 4*t - 4*q = -y*q + 11. Calculate the greatest common divisor of 4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120044 (base 7) to base 10.\nAnswer: -21641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**3 + 981*a**2 - 2970*a = 0.\nAnswer: -330, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 5. Determine n(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 324 + -541. Is w at most -217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2444?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-14) + 1 + 1444\/(-1330).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -1681*i**2 - 68*i + 6. Let j(x) = -2*x - 1. Let h(b) = 4*f(b) + 28*j(b). Factor h(k).\nAnswer: -4*(41*k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8172166 to the nearest integer?\nAnswer: 2859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.128581504 to 4 decimal places.\nAnswer: -0.1286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 78. Let r(b) = -1. What is -p(h) - 5*r(h)?\nAnswer: h - 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nineteen quarters of a millennium?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 178, 348, 516, 682, 846?\nAnswer: 1008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5*(sqrt(136) + sqrt(136)*2))\/(sqrt(8) + (-2*sqrt(56))\/sqrt(7)).\nAnswer: -15*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 166401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**29)\/j*j*j*j*j**(-20\/9)*j)\/(j**29*j**(-23)\/j) assuming j is positive.\nAnswer: j**(-290\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 31817 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 2:19 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i - 26. Let r be o(12). Suppose r*z = 9*z - 24500000. Round z to the nearest one million.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 99940*b.\nAnswer: -5*b*(b + 19988)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 3:12 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 2\/7 (c) -30\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b - 18 + 74. Let x be (1 + (b - 7))\/((-2)\/(-10)). Solve 4*v = 3*o + 2*o, 3*o + x*v - 37 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*z + 7*z**4 + 22*z - z**3 + 18*z + 24*z**4 + 2*z**4 wrt z?\nAnswer: 396*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/542013 and -45\/38?\nAnswer: 1084026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-33)\/(1\/(0 + -3)). Let q(a) = l*a - 99*a + 7*a**2. Let b(u) = -2*u. Determine b(q(o)).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 184?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 81*y**3. Let t be p(-1). Let m = -77 - t. Suppose -2\/5 + 4\/5*k**3 + 2\/5*k**m + 0*k**2 - 4\/5*k = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62946857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 26*q - 27*q - 17*q + 103*q - 15*q - 19*q.\nAnswer: -q + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = x + 26, 2*x - 5*i = -37 + 5. Let p(d) = 2*d**2 + 7*d - 8. Let k be p(x). Suppose -q - 3*m - 6 + 0 = 0, k = 3*q - m. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f + 2514*f**3 + 3244*f**3 + 155*f**3 + 8819*f**3.\nAnswer: 14732*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -583607 (base 10) to base 4.\nAnswer: -2032132313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**6\/420 + b**5\/60 + b**4\/14 - 5*b**3 - 15. Let t(m) be the third derivative of y(m). Factor t(w).\nAnswer: -2*(w - 3)*(3*w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5397, 10899, 17373, 24825, 33261?\n\"Answer: t**3 + 480*t**2 + 4055*t + 861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41339626 or 41339623?\nAnswer: 41339626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361526151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16706 + 16706. Sort 4, 2, -165, k in decreasing order.\nAnswer: 4, 2, k, -165","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2110220 (base 3) to base 7\nAnswer: 5160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 14723322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: 1102 * -1.5\nAnswer: -1653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 5423 = -23536. Suppose 3*s - 4*u - y = 0, s = 5*u + 320 + 1059. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 6*n. Suppose -i = -n*i - 28. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - 6. Let x = w + 25. Let k = 13.00000085 - x. What is k rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -20, 7, -4, 3, 1, -2.\nAnswer: -20, -5, -4, -2, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -145 - -215. Suppose 5*f - s = -9*f. Suppose -f*c + c - z - 955 = 0, 2*z = -5*c - 1190. What is c rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 4 + 12. Let c be ((-6)\/(-3))\/((-1)\/h). Solve c - 2 = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 997*u - 603*u - 4642 = 605*u for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 7 - (3 - -3 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i**4 - 297730812*i**3 + 1871451423*i**2 - 3189974346*i + 765593856 = 0. What is i?\nAnswer: -14177664, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3 (b) 0.31 (c) -1 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven fifths of a decade?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -205.8 - -207.8. Which is the third smallest value? (a) z (b) 6 (c) -173\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, x: 5, o: 1, y: 1}. What is prob of picking 3 x?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4382619 and 0.24.\nAnswer: -4382618.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 890539.83 nanoseconds in hours?\nAnswer: 0.000000247372175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 6:21 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*n - 0*n - 4*r, -3*n - 5*r + 11 = 0. Suppose -n*o - 6 = 26. Let f be 29\/8 - 6\/o. Are f and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 3*w**2 + 10*w. Calculate t(6).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2069*d - 9. Let l(n) = -791*n. Give l(c(z)).\nAnswer: -1636579*z + 7119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 6\/11, 1, -8, -3\/4, -2502, 13.3?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 1. Let i(d) be the second derivative of 12*d + 1\/3*d**3 + 0 - 9\/2*d**2. Calculate -18*a(l) - 2*i(l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03 - 0.27. Let z = 12.14 - 12. Let o = -0.24 + z. Put o, 0.1, r in decreasing order.\nAnswer: 0.1, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*b - 1 + 525*b**2 - b**4 + 5*b**4 + 3*b**3 + 7*b + 514*b**2 - 1052*b**2 as s*b**2 + d*b**3 + i*b**4 + l + z*b and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -5 - 5. Suppose z = -b + 3. Let m(h) = 6*h**2 + 3. Let x(q) = 6*q**2 + 2. Let c(n) = 2*m(n) - 3*x(n). What is c(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - y**2 + 2*y + 169. Is 13 a factor of j(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/90 and -37\/849?\nAnswer: 25470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42015 or 42028?\nAnswer: 42015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 242.7 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5529984 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/2 - 0\/1. Let k = 7\/55 - 8\/11. Let o = k + 1\/5. Which is the second biggest value? (a) o (b) n (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20845298053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -407783, -407779, -407773, -407765, -407755?\nAnswer: -407743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -576*l + 566*l = -4320. What is the greatest common divisor of l and 240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {k: 1, b: 3, z: 1, m: 4, w: 6, r: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 26*p**3 - 14*p**2 - 7*p. Let b(d) = 17*d**3 - 9*d**2 - 5*d. Let i(l) = -7*b(l) + 5*y(l). Find the third derivative of i(x) wrt x.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 681 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 138349120 divided by -16\nAnswer: -8646820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01221258 rounded to 4 dps?\nAnswer: 0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 455 + -1369\/3. Let l = 10 - 11. Let k = l + -4. Which is the third smallest value? (a) k (b) y (c) -2\/63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -11*m - 9. Suppose -275 = 6*d - 257. Suppose 2*j = -5*g + 59, 5*g - 107 = -5*j + 33. Calculate the least common multiple of z(d) and j.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/7*c**2 - 16\/7*c + 2\/7*c**5 - 8\/7 + 2*c**3 + 10\/7*c**4 = 0. Calculate c.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -326*l - 4. Let w(n) = 2*n**2 + 2808*n - 1. Give u(w(d)).\nAnswer: -652*d**2 - 915408*d + 322","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2433 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 5*x + 4. Let b be r(-3). Suppose -5*j + 3*o = 35, 0 = 3*j - 3*o + 5*o + 2. Let n = 3 + j. Is n at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28993043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + 1253?\nAnswer: 1310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25455061 is divided by 6081?\nAnswer: 6076","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 + 0.1. Let c = -3 - r. Let p = 2.8 - -0.2. Sort c, 5, p in increasing order.\nAnswer: c, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103 - 103 - 5*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*w. Suppose w = -7*r + 3*r + 40. Suppose 0 = x - r + 1. What is the remainder when 17 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.322 - -0.322. What is the nearest to 0 in 1\/17, -2\/9, j, 0.2?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1397 - 1391. Let j(d) be the first derivative of 2\/3*d - 1\/6*d**2 + n - 1\/9*d**3. Factor j(p).\nAnswer: -(p - 1)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**3 + 20*l**3 + 2*l**3 + 6*l**3.\nAnswer: 26*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 1\/6*6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/5 + 81442*i.\nAnswer: 2*i*(i + 203605)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2475 - 4935 - 64*d**2 + 2467 to r*d + u*d**2 + b and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(18*j**4 + 24*j**4 - 8*j**4) + 0*j**4 - 3*j**4 + 2*j**4.\nAnswer: -69*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 42?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2974689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 1 + 17*q - 1 - 17*q. Let z be m(-2). What is the highest common divisor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 6*a - 1. Let b be y(-5). Suppose 0 = -2*w + 4 + 4, 146 = 5*f + b*w. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*k = -k + 528, 0 = -5*x - 3*k + 840. Suppose -3*l - 32 = l. Find the common denominator of (l\/6)\/(30\/x) and 7\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010 (base 2) to base 16.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 922?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from keqcccoqeccok?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**2 + 15 - 17 + 2*d**2 + 4*d**4 + d as h*d**4 + b*d**2 + a*d + u + w*d**3 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**4\/((v\/v**(-2\/3))\/v)*v\/v**5*v*v\/(v\/(v*v**(1\/4))) assuming v is positive.\nAnswer: v**(19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*l - 1 - 14*l - 11*l**2 - 16*l - 18*l - 87*l**2.\nAnswer: -98*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -260 + 281. Calculate the remainder when g is divided by (37 - -3)\/4 + 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 10*c - 45\/2*c**2 - 131 - 15\/4*c**4 + 50\/3*c**3. Factor j(z).\nAnswer: -5*(z - 2)*(z - 1)*(3*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, y: 4, q: 1, t: 6, o: 3}. What is prob of sequence gyot?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*o = -412*o + 6212474 + 9401806. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1457 + -1477)\/((-1)\/(-1 + -2) + 0)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-9)*(-15)\/(-20)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5922 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 3*q + 6 = 0, q = -2*j + 5*q + 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-20)*1*-10*427\/(-427)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72613 + -5.\nAnswer: 72608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 8 = 3*z - 0*z, -3*z - 3*y - 6 = 0. Are z and 1\/46 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qh when two letters picked without replacement from {q: 3, h: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1331) - (sqrt(1331) + -4 + sqrt(1331)))**2.\nAnswer: -440*sqrt(11) + 6735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 5)*(-q + 2 - q + 6*q).\nAnswer: -8*q - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -15*w**2 + 18*w - 1. Suppose -149*s + 151*s - 2 = 0. Let k be n(s). Solve 0 = -0*z - 3*z - k*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22021222210 (base 3) to base 7.\nAnswer: 1250031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 1. Suppose -2*y = -3*m + 2*y + 14, -5*m + 4*y = -c. Let t(o) be the second derivative of o**4\/6 - o**3\/3 + o**2 - o. Give t(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 2*l**3 + l**2 + 3*l - 206. Suppose -6*h - 2 = -w - 5*h, 5*w + h = -14. What is b(w)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 5\/3*x**3 + 5*x - 9 + 5*x**2. Factor j(v).\nAnswer: 5*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-9) - (-6)\/(-9). Let m be (-2)\/(n*(-3)\/(-24)). Calculate the highest common divisor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 19121.75nm?\nAnswer: 0.01912175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 3 (c) -0.038 (d) 0.1 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-27)\/(-12) - 3)\/(9\/(-24)). Which is bigger: h or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6868217661997 and -158?\nAnswer: 6868217661839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1155 at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*s - 3*s + 297. Suppose 2*f - 5*f = -18. Let u = s - f. Solve j - 3 = -5*m - 7, -u*m + 2 = 5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.6208565*0.2.\nAnswer: -0.3241713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 446688, 446688, 446678, 446652, 446604, 446528, 446418?\nAnswer: 446268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-1))*u**8)**49)**20 assuming u is positive.\nAnswer: u**8820","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, 156, 523, 1038, 1701, 2512?\nAnswer: 3471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1270 divided by 4708.\nAnswer: 635\/2354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = m + 5*i, -30 = -2*m + 2*i + 8. Suppose m = -39*y + 45*y. Let j = 0.6 + -1.1. Sort y, -2, j in increasing order.\nAnswer: -2, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 4:07 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 18*u + 8 = 0. Is 104232\/56 - (0 - u\/14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 310 + -305. Which is the closest to 2\/7? (a) -5 (b) 14 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17907 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3511 + 5260. Does 22 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddii when four letters picked without replacement from ddidiiiiiii.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2336047570 to the nearest one hundred thousand.\nAnswer: -2336000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64819208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 44739.\nAnswer: 13421.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 7*i**2 + 2*i + 8. Is s(-4) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 55\/4 + (-6)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -52857 < -52857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8\/59 - -7939\/1062. Calculate the common denominator of 31\/126 and y.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 62589*m - 62825*m - 7080 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 at least as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1706, -3337, -4922, -6437, -7858, -9161, -10322?\nAnswer: -11317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -76.287.\nAnswer: 74.287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 22*s**2. Let j(q) = 37*q**2. Give t(j(x)).\nAnswer: 30118*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2208878 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t + 2*t**3)*(t**2 - 2*t**2 + 0*t**2) - 83*t**5 + 170*t**5 + 3 - 74*t**5 - 2*t.\nAnswer: 11*t**5 - 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3086952321 a multiple of 1016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -689 (b) 2\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-3))\/(3\/(-9)). Let o = -732 + 808. Which is smaller: o or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**3 + 3*j**3 - 4*j**3)*(-j**2 - 8 + 8) - 3*j**5 + 2*j**5 + 2*j**5 + (2*j**5 - 2*j**5 + 2*j**5)*(-1 - 1 + 0).\nAnswer: -5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*l - 2863*l = -765*l + 1325*l - 134730 for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -4*a - 3*k, -4*a + 0*a + 2*k = -108. What is the derivative of -397 + a*p + 3*p + 403 wrt p?\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2\/73, -1\/9, -2, 2, 3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11649.98 + -11650. What is the second smallest value in f, 3, -2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 264*w + 294*w**2 - 264*w in the form z*w + n + m*w**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.092 times 46?\nAnswer: 4.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31905 is divided by 707?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14266*t - 3 + 14283*t + 3.\nAnswer: 17*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 2 + 17*o + 1\/4*o**4 + 0*o**2 - 1\/3*o**3. Let h be m(0). What is the highest common factor of h and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36871 is divided by 36.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23047 + -23046.5. Suppose 0 = 5*w - 21 - 24. Put s, 0.2, w, 1 in decreasing order.\nAnswer: w, 1, s, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**4 - b**3 - b + b + (-b + b + b)*(2*b - 3*b**3 - 2*b) - 2*b + 2*b**4 + 2*b to a*b + s*b**4 + d*b**3 + l + k*b**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 861.0671ng?\nAnswer: 0.0000000000008610671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 4*r + 1 - 11*r + 15*r. Let o(m) = 5*m**2 - 5*m + 11. Let v(f) = 6*b(f) - o(f). What is v(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (41 + 0)\/(279\/4092). Suppose -2*i + 1168 = -0*i. Let p = d - i. What is the common denominator of -37\/19 and p?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1144 times -23.7?\nAnswer: 27112.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9058 is divided by (-362 - 2)\/(-7)*(330\/40 + -8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -8*r - 44. Let v be (-10)\/3*45\/25. Let p be k(v). Suppose -2*t + p*x = -58, t + 7 - 30 = -4*x. Calculate the remainder when 133 is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 33*y**3 + 29*y**2 - 6*y. Let k(z) = 5*z**3 - 4*z**3 + 1855 + z**2 + z - 1855. Let s(n) = h(n) + 6*k(n). What is the third derivative of s(p) wrt p?\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*f, 3*f - 2*f = -d. Let v(n) = n**2 + 2*n + 216. Let a be v(f). Suppose -a = -h + 7. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -253451221 (base 6) in base 11?\nAnswer: -2872079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1795, -0.1, -2, 1\/5, 1\/2 in ascending order.\nAnswer: -1795, -2, -0.1, 1\/5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2985*u*v + 4282*u + 32556485*v with respect to u.\nAnswer: 2985*v + 4282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -1)\/((-22)\/33*(-4 - 764\/(-188)))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -3*n - 48 + 66, 2*n = -4*r - 16 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - (6 + -7))\/(1\/12). Is -23 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**5 - 6*u**4 - 11*u**3 - 2*u**2 + 12*u + 8 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*l - 15*l - 164*l - l**3.\nAnswer: -l**3 - 29*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65242*v - 65308*v = 2838 for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m - 2*m + 4*m)*(2*m**2 - 3*m**2 + m**3 + 14*m**3) in the form q + p*m + z*m**3 + d*m**4 + o*m**2 and give d.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a - 13159a?\nAnswer: -131580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168450 and 10912191?\nAnswer: 3369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132400 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34079300 is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g + 2*g + 141*g**2 - 209*g**2 + 0*g. Let v(h) = 11*h. Determine v(t(m)).\nAnswer: -748*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2)*70\/10*-1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 249639725\/552 - 452246. What is the common denominator of l and 65\/1104?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.87 + -0.13. Let i = g + 2.7. What is i rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.5 + 4.5. Let g = d - 0. Let h = 9 - g. What is the closest to 0.2 in 1, h, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 34 + 11 = 0. Solve 4*h = -h + y for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 13. Let m be x(-15). List the prime factors of ((-38)\/(-3))\/(m\/(-3)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17*(3 + -2) - 0?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 30*w + 9. Let f(h) = 6*h + 2. Let v(p) = -11*f(p) + 2*u(p). What is the units digit of v(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 14*b**4 - 41*b - 18*b**4 + 30*b**4 + 15*b - b**2 + 2*b**2 + 4*b**3 to a + k*b + y*b**3 + s*b**2 + q*b**4 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 1849*b - 11. Calculate l(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12874, -71712, -169776, -307066, -483582, -699324?\nAnswer: -954292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -2\/567, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -6*f**3 - 2*f**2 - f. Let h be t(-2). Let o(q) = -h*q + 27*q + 29*q + 1 - 19. Is o(5) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2721600*v**2*w**2 - 1885723*v*w**2 wrt v?\nAnswer: -5443200*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/7, -9\/385, -4, 0.4, -0.5, -198?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 366309 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*d**2 + 6*d**2 + 3 - 1)*(102*d - 2*d + 26*d) to the form k*d**2 + p*d**3 + c + j*d and give j.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13296 - -13296. Solve v - 32*h = -34*h, p = v - 2*h + 12 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 621*b**3 - 534*b**2 + 13. Let m(r) = -310*r**3 + 266*r**2 - 6. Let n(d) = -6*k(d) - 13*m(d). Find the third derivative of n(w) wrt w.\nAnswer: 1824","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -321*k**3 - 294*k**3 + 227*k**3 - 314*k**3.\nAnswer: -702*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -14404100 (base 5) to base 12\nAnswer: -74b02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 5:12 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-38))\/((-1088)\/134368)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/128546 and -7\/99331.\nAnswer: 2185282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7043908?\nAnswer: 2, 19, 92683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 756 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 835865111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-16)\/(-20))\/(1\/5). Suppose 9*h - 48 = 5*h. Solve 2*p = 4*f + h, 0*p = -4*f - x*p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1532 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/7 - 45918*q + 1285720\/7.\nAnswer: -(q - 4)*(q + 321430)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 5*a + 4*a)*(-6*a**2 + 0*a**2 - 19*a**2) - a**3 - 2*a**3 + 2*a**3.\nAnswer: 49*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 2)*(-1 - -6)\/(-10). Solve -b + 2*x - 6 = -3*b, -b - 5*x + 11 = v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -100*m + 83*m + 85 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3458 and 884.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4198.1 - -4198. What is the nearest to y in 0.5, -5, 2\/173, -1\/4?\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -x - 7, x + x + 42 = 3*j. Let p = 32 + x. Solve -13 = -p*n - 2*k, k - 9 = -10*n + 5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*t - 7 = -177*t + 3*k, -4*k = t + 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7531 (base 11) to base 12\nAnswer: 5918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*n - 2 = -102*n + 74. Solve -4*o + 9*o + 4 = -2*s, 4*o = -2*s - n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 14*f**2 - 2. Calculate u(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*o + 8 + 14 - 22.\nAnswer: -38*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 200*1 + -1 + -1. Let g = -282 + 304. Calculate the highest common factor of x and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 130240, 259831, 388772, 517063, 644704?\n\"Answer: -325*h**2 + 130566*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 j when four letters picked without replacement from kkkkkjjkkkk?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**5\/120 + m**3\/6 - 11*m**2\/2 - 38*m + 2. Let q(f) be the second derivative of b(f). Let z(c) = 20*c - 4. Give q(z(p)).\nAnswer: 20*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/(-4382))\/(-3 + (-99)\/7) and 151\/18?\nAnswer: 112680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**4\/114 - 436*s**3\/57 - 47524*s**2\/19 - 24*s + 12. Factor w(k).\nAnswer: -2*(k + 218)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/5 (b) -2 (c) -25\/18 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 11. What is p in -2*p + g*p**2 - 3*p**2 - 4 + 3 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -321 by -156.\nAnswer: 107\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97\/7*l**3 + 0 - 54\/7*l**2 - 3*l**4 - 8\/7*l = 0.\nAnswer: -4, -1\/3, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 5050.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 9. Let z be ((-6)\/5)\/(n\/(-40)). Solve -t - 2*o = 9, 0 = 3*t - z*o + 2*o - 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 8*w**5\/7 + 86*w**4\/7 + 186*w**3\/7 - 404*w**2\/7 - 872*w\/7 + 240\/7 = 0.\nAnswer: -6, -5, -2, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 9*f - 53 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3*0.228.\nAnswer: 0.2964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*r - 13 - 2 = 0, -3*s + 3*r + 21 = 0. Suppose -u = -7 - s. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4295250 and 1250.\nAnswer: 21476250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 164291\/24 or -32?\nAnswer: 164291\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.3438, -0.3, 3\/4 in increasing order.\nAnswer: -0.3, 0.3438, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 956 + 604. Let p = q - -413. What is the remainder when 87 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 21*p**2 - 3*p - 2. Let z = -26 - -28. Let v be l(z). What is the greatest common factor of 19 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 45339\/(-42) - (2\/(-4) + 1). Calculate the common denominator of 48\/z - (0 - 0) and 73\/80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2 - 2371*h - 4738 = 0. Calculate h.\nAnswer: -2369, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -13.3 times -0.74\nAnswer: 9.842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*r = 7*m - 6, m + 2*r + 2 = 0. Suppose 6*n = 10*n + m. Put -5, n, -4, 1 in decreasing order.\nAnswer: 1, n, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2. Let p(i) = -111*i + 220*i + 4 - 37*i**2 - 109*i - 8. Determine p(s(q)).\nAnswer: -37*q**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75021008, 75021015, 75021028, 75021047?\nAnswer: 75021072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-802)\/(-40) - 1 - 20\/25 and (-9)\/3*(-192)\/(-378).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/42 - (-14)\/49 and -20\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55678611, 55678603, 55678595?\nAnswer: 55678587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296 - 387 = 13*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -267\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**5\/2 + 5239*m**4\/2 - 15687*m**3 - 62783*m**2 - 136049*m\/2 - 47097\/2 = 0.\nAnswer: -1, 9, 5233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 13*z**2 - 11*z - 3. Let p be m(-16). Let d = p + 947. Is d a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65240, -130466, -195692, -260918, -326144, -391370?\nAnswer: -456596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*(a**(-10)\/a)\/a*a)\/a)\/(a*a**18))**13 assuming a is positive.\nAnswer: a**(-377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 85220589 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 9. Let a(k) = -3*k - 3*k + q*k. Let d(x) = -6*x. Give d(a(c)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -0*n + 160. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7 from -8184.\nAnswer: -8191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 205*d**7\/3 + 3223*d**3\/6 - 12111*d**2. What is the first derivative of p(y) wrt y?\nAnswer: 57400*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*m - 5*m**3 + 368*m - 181*m.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 111081066.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 131 + -213021?\nAnswer: -212340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2668, 2670, 2672, 2674, 2676, 2678?\n\"Answer: 2*z + 2666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-27)*-9*4\/(-620)*28\/(-14).\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122213302 (base 5) to base 2.\nAnswer: -10001110111011101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/2*1758\/1188. Let a = 25\/9 + k. What is the nearest to 0.1 in a, -1\/8, 0.4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + l = -34 - 41, -3*m + l + 57 = 0. Solve -m - 2 = -5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*k + 80 - 38. Solve -5*f - 2*i + 15 = 0, -k*f - 29 = 4*i - 38 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 483 = 2*g, -54*g + 53*g = 2*d - 240. Solve -252*o = -g*o + 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by -3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 + 0*x**3 + 2*x**3)*(3 + 2 - 6).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1677 and 4.\nAnswer: 6708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375100 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u. Let c(p) = -21*p + 50. Let h(y) = -c(y) - 4*n(y). Let d be h(10). Calculate the greatest common factor of d and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s - 3. Let u be (3 + 3)\/(-3) - 1. Let o be p(u). Is ((-3)\/2)\/(o\/(-152)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 8*c**2 - c - 2. Let a(k) = k**2 - 22*k - 8. Let h be a(0). Let o be b(h). Solve 8*m = o*m - 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/15 + 199 + (-101700)\/500?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -65806 and 1.\nAnswer: -65805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407727.\nAnswer: 3, 15101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1512 - -1541. Suppose c = -3*f + 5, -5*c + c - 7 = 3*f. What is the third derivative of -4*v**3 + 826*v**2 - y*v**5 - 815*v**2 + 4*v**f wrt v?\nAnswer: -1740*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -15*o**2. Let c(l) = l**2 - 26*l + 33. Let p be c(25). Suppose -p = 93*n - 95*n. Let y(a) = 23 + n*a**2 - 8 - 15. Calculate y(m(h)).\nAnswer: 900*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 3 = j. Suppose j*q - 56 + 96 = 0. Let c(w) = -w - 1. Determine c(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 - 3*d**2 - 466 + 281.\nAnswer: -3*d**2 - 260","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-42) + ((-990)\/84)\/(-15)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 737225 and 25.\nAnswer: 737225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -3123?\nAnswer: 3131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(600)*3 + sqrt(600) + sqrt(600))\/(sqrt(48)\/(sqrt(324)\/sqrt(6))).\nAnswer: 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a hour in seconds?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 413*y**2 - 5*y - 41. Let u be j(10). Suppose 0*h + 5*f - 4090 = -h, 5*f + u = 2*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rqjrrdjrro. Give prob of sequence rjoq.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -2\/7, -12, 4, -3, -126\/19 in ascending order.\nAnswer: -12, -126\/19, -3, -2\/7, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50441 + 60561 = 1012*j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -9384974.\nAnswer: -2\/4692487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78316 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 m, and 1 r when three letters picked without replacement from mnanrnmannn?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -77 * 168.641\nAnswer: -12985.357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c**2 + 17*c - 16. Let w(m) = 6*m**2 - 18*m + 17. Let x(f) = -4*o(f) - 3*w(f). Let j be x(7). Put -3, j, 0, 4 in decreasing order.\nAnswer: j, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1047009 and 402?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2935.781ml?\nAnswer: 2.935781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/71613 and 113\/6500106.\nAnswer: 474507738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*s - 23*s - 11*s + 92*s - 20*s.\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -67*n**2 + 71*n - 31. Let l(i) = -13*i**2 + 14*i - 6. Let v(w) = 6*f(w) - 31*l(w). Let h(s) = 78*s. Calculate v(h(d)).\nAnswer: 6084*d**2 - 624*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -903*m + 890*m - 117 = 0 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 77.38432 litres?\nAnswer: 77384.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 4*f - 2*f + 3, 0 = -0*r - 0*r + 3*f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 110*l - 5. Let o(m) = 1. Determine -6*o(i) - q(i).\nAnswer: -110*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/(n*n\/n**13)*n*n**(10\/9)*(n**5)**12 assuming n is positive.\nAnswer: n**(676\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19682135 and 2185.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 7. Let x be (-14)\/r*(5 + -7). Suppose 3*l + 3 = 2*n - x*n, -2 = l + 2*n. Solve -l*p - 25 = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/30600 and 31\/510.\nAnswer: 30600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 7*h - 3. Let j be ((-10)\/8)\/(6\/(-24)). Suppose -3*l - 18 = -4*k, -5*k = j*l - 8*l - 18. What is o(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 144156 to the power of 1\/2, to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 41340.066 to the nearest one thousand.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/25 + (-7)\/5. Let r = 2 - d. Suppose -5*l = -r*l. Is 1\/5 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(147) + (sqrt(147) - (sqrt(147) + -2)) + sqrt(147)) + sqrt(147) + 0 + -5)**2 + 2.\nAnswer: -70*sqrt(3) + 3678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2016 - 1960. What is the remainder when 165 is divided by i?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 3\/(-3))*3\/14. Let i = -22\/35 - f. Let a = 3.1 + -3. What is the nearest to a in i, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 0.26.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -131.\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 1 = 4, 4*h = b + 2067. Is h a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i - 1. Let p(u) = 3*u + 50. Let h be p(-15). Suppose y + 10 = 4*y + 2*t, 0 = -t + h. Calculate o(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193955 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmwmmymmwwymm. What is prob of picking 2 m?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 14*m + 19. Let o be v(13). Find the second derivative of -4*a**3 - 4*a**3 + o*a + 2*a - 3*a**3 wrt a.\nAnswer: -66*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 351242497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 4550*d**4\/3 + 413240*d**3\/3 + 337408*d**2\/3 + 72736*d\/3 + 480 = 0. Calculate d.\nAnswer: -90, -2\/5, -2\/91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 994193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12134338534 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62\/(19096\/2508))\/(1\/(-7)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -796 + 796. Let h(s) be the second derivative of -2*s + 1\/69*s**3 + 0*s**2 + 1\/138*s**4 + l. Factor h(n).\nAnswer: 2*n*(n + 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15614610 - 3?\nAnswer: -15614613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.95 + -0.05. Let z = 752 - 750. Which is the closest to -0.1? (a) f (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*z + 318*z**2 - 320*z**2 - 108*z.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 11. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -12, -2, -5, -64 in decreasing order.\nAnswer: 3, -2, -5, -12, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -326*r**3 - 10*r**2 + 27*r + 56. Let d(f) = 109*f**3 + 3*f**2 - 9*f - 18. Let q(i) = -7*d(i) - 2*h(i). What is the hundreds digit of q(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 210 and 294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 24 = -4*i - t, -21 = -i - 4*t. Suppose 12 = -4*x, -i*x + 189 = -0*f + 4*f. Suppose f = 5*m - 24. Calculate the remainder when m is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39955 is divided by 1149.\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 11. Suppose 2*b + 5*j = 9*j + 42, -3*b + 42 = j. Let d be w(b). Solve 5*s - 21 = -d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4824 + -4812. Solve -b*z + 15*z - 21 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6930504?\nAnswer: 2, 3, 7, 13751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or 84233\/14?\nAnswer: 84233\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/b**(2\/17))\/b)\/b)\/(b\/((b*b\/b**(-1\/13))\/b)*b))\/((b**(-3\/4)*b)\/b**6) assuming b is positive.\nAnswer: b**(3279\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*k - 78 - 27, -k + 45 = -4*j. Suppose k*a = 41*a + 504. Put 0, a, -4, 3 in increasing order.\nAnswer: a, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 955, -0.021 in ascending order.\nAnswer: -0.021, 2\/5, 955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5882444 months in centuries?\nAnswer: 0.001323537","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**2\/5 - 59068*g\/5 + 25039872\/5 = 0.\nAnswer: -29952, 418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, z: 1, i: 8, x: 2}. Give prob of picking 2 m.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4313582?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 443.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 454 a factor of 340769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 855 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.020407136 to three dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15924?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -422167, -422159, -422147, -422131, -422111?\nAnswer: -422087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 318 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m + 1. Let x be i(-1). Suppose -f - 3*f + 592 = -x*j, 4*j + f + 482 = 0. List the prime factors of (2\/5)\/((-2)\/j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -212, 2\/5, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.0155893768053 - 0.67\nAnswer: -0.6544106231947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2 = 3*z. Let x = 2663.8 - 2664. Which is the closest to -0.1? (a) -0.5 (b) x (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*z - 18 = -20*z + 2*v, 4*v = 8*z - 4*z + 76 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/63 and 38\/385.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 648*a - 52488.\nAnswer: -2*(a - 162)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-20)\/5)\/(4\/(-6)). Let s(o) = 3*o**2 - 8*o + 3. Let v(q) = q + 23. What is the remainder when s(g) is divided by v(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53\/106)\/(17\/578)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 14476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -c - 70, 3*c = -c + 2*s + 174 - 424 for c.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**3 - 34*s**2 + 134*s - 52. What is p(12)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8233 - -28104. List the prime factors of d.\nAnswer: 31, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 6*m - 5. Let c(v) = -v**2 - 11*v - 4. Let p be c(-11). Let t be l(p). What is the tens digit of 10\/t*3\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c. Let o(k) = 4*k - 1. Calculate o(n) + 6*s(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**5 + 114*u**4 - 1395*u**3 + 7716*u**2 - 20112*u + 20160.\nAnswer: -3*(u - 21)*(u - 5)*(u - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 556034821 times -0.5?\nAnswer: -278017410.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.5 + -13.5. Let q = k + 6. Let j = 817 - 818. Which is the nearest to 4\/7? (a) q (b) j (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -2\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 292\/10*(20 + 30). Let b = -483 + o. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 4*h - 46, -5*h + 23 = -2*p - 9. Let i(c) = -17*c - 97. Let f be i(p). Let q = 7.6 + -8. What is the second biggest value in f, 2\/5, q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120 + -9. Let c(i) = 2*i**3 + 29*i**2 + 12*i - 12. What is the remainder when o is divided by c(-14)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26466200 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2 + 1 - y**2 + 7*y**3 + 2 - 5*y. Let k(l) be the second derivative of 3*l**5\/20 - l**3\/3 + l**2 - 18*l. Let d(m) = -5*k(m) + 2*r(m). Factor d(n).\nAnswer: -n**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 25*f + 98. Let p(c) = 60*c**2 - 479*c + 13. Let x be p(8). What is z(x)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6327 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 4 = -40. Suppose -3*y + v*k + 41 = 0, 4*y - y + 3*k = 69. Solve -2*n + j = 3*n - y, 23 = 5*n - 2*j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8510 is divided by 3452?\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244 - 309 = -73*w + 469 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d**2 - d - 5. Let o(w) = 4*w**2 - 4*w**2 + 5*w**2 - 5. Let y(h) = -4*k(h) + 5*o(h). What are the prime factors of y(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006015742047 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 58 = 3*q. Let k = 162 - q. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 706 is divided by 101?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1432 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -4599445?\nAnswer: 4599441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.973832um in centimeters?\nAnswer: 0.0007973832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 329, 1083, 2339, 4097, 6357, 9119?\n\"Answer: 251*i**2 + i + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 4*o = o - 28, 3*o - 12 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.445583 millilitres?\nAnswer: 0.002445583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-1 + 1)\/(-5). Suppose -3*y + 379 = -2*t + 38, -3*y + 5*t + 335 = m. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 113415.47 from -1138.\nAnswer: -114553.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6285 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*y + 297 = 0, 2*r + r - 298 = 4*y. Suppose 3*l + m - r = 0, -4*m - 103 = -7*l + 4*l. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l**4 + 170421*l**3 - 46410275*l**2 + 3110234691*l + 6407473834 = 0. Calculate l.\nAnswer: -170693, -2, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a - 13. What is the lowest common multiple of t(-6) and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/18)\/(1\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*r - 1695 = -34*r. Let l = 843 - r. Let g = l - 155. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/8 of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 11 - 1 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -78 divided by -2799204\nAnswer: 13\/466534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 13*u**2 - 167*u + 87. Is s(27) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 - 35. Let f be 42\/a + (-8)\/10. Suppose -5*g = -12 + f. Solve -b + g = b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.43 + 0.03. Let g = 211 - 2319\/11. Let k = -0.26 - 0.04. Which is the second biggest value? (a) g (b) k (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.3 + 6.8. Which is the biggest value? (a) 22 (b) l (c) -2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 22*h**2 - 42*h - 54. Give a(-20).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024263 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 + -55?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(5 - 5 - k + (2 - 2 + k)*(2 - 3 + 0) - 2*k - 2*k + 3*k)*(-10 - 8*k**2 - 22 + 6*k**2).\nAnswer: -6*k**3 - 96*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**9\/84 - 16*n**5\/15 + n**4\/12 - 19*n**2 + 2. What is the third derivative of z(c) wrt c?\nAnswer: 720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by 20\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 + 7 + -14 + 4 + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (8 + -3 + -7 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3 + sqrt(1900) + 0 + sqrt(1900) + 3*4*sqrt(1900) - (-1 + (sqrt(1900)*2 - sqrt(1900)) + 5 + sqrt(1900) + -3 + sqrt(1900)*2)))**2.\nAnswer: 10000*sqrt(19) + 4750100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27371220 is divided by 258.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 31280580 to the nearest 100000.\nAnswer: 31300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*v, r + 4*v = 3*v + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*((-39368)\/(-570) + -69) + (-62)\/(-6)?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21\/51 + (47 - 49). Which is smaller: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 143 and 66.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 374 and 944163?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.75 - 4.75. Which is the second biggest value? (a) g (b) 1\/14 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 925131\/6538 + -2\/3269. Is o bigger than 142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68352.86 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*s - 211 + 109 + 118.\nAnswer: -26*s + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.117*0.06.\nAnswer: 0.12702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/697248 and 31\/48?\nAnswer: 697248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 52804 + -657.02267\nAnswer: 52146.97733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 66146, 132293, 198440?\n\"Answer: 66147*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 l when four letters picked without replacement from yyyyyqqlllyyly?\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 92 = -4*x. Suppose a = -2*l + 16, -5*l = -2*a + 88 - 29. What are the prime factors of 270\/x + a\/(-77)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*c**3 - 134*c**2 - 446*c + 120.\nAnswer: -2*(c + 5)*(c + 12)*(4*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*s - 3*s + 4*s)*(-2 + 2 - 2)*(2*s**2 + 5*s**2 - 5*s**2).\nAnswer: 76*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - l**2 + l**2 + 0*l**2 + 3*l**3.\nAnswer: 3*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1020 divide 29559600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 1140 + 1078 = 0, 80*y = -4*n + 196 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*n + 22*n - 369 = 291*n - 30 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-629)\/37 - (-25 - -4). Solve w + x*p - 6 = 0, 6*p - p = 4*w + 18 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 5*m**2 - m - 5. Let r(z) = -z**2 - 5*z + 3. Let k be r(-5). Let u = -2 + k. Let t be u + 4 + 0 + -1. Calculate d(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -17 - 12 + 10*w + 0 - 7*w. Let r be z(11). Factor 2\/11*t**3 - 2\/11*t**2 + 0*t - 2\/11*t**5 + 0 + 2\/11*t**r.\nAnswer: -2*t**2*(t - 1)**2*(t + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(2))*1 + -1)**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 4:29 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by -137.\nAnswer: -28\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/35)\/((-8)\/76)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 79 and 316?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1207, 4109, 8939, 15691, 24359, 34937?\nAnswer: 47419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -493 and 14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346451954874*w**2 + 5*w**3 - 346451954874*w**2.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 561 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7807273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -7*h**4\/3 - 332*h**3\/3 + 96*h**2 - 92*h - 1. Find f, given that a(f) = 0.\nAnswer: -24, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 3, 5.4, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 45*g + 474. Let k be y(26). Which is bigger: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*i - 2, 3*n + n - 4 = 0. Suppose i = 2*o - 5. Solve -o*h + 2 + 4 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/234801 and -41\/3?\nAnswer: 234801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 5*k - 86, -k + 9 = u - 12. Let j(o) = o**3 - 2*o**2 - 4*o + 4. Let f be j(3). What is the remainder when 1*f*54*1 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.38 greater than or equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 608718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ruqq when four letters picked without replacement from ururrrrqrrqr.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10624377 to the power of 1\/2, to the nearest integer?\nAnswer: 3260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 510 - 505. Which is the third biggest value? (a) 3 (b) m (c) -0.83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 58*l**3 - 351*l**2 + 24*l - 40. Calculate z(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -7*w**6\/3 - 5*w**2\/2 - 10. Find the second derivative of u(i) wrt i.\nAnswer: -280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.7585 + -0.2415. Which is the nearest to 0? (a) -3\/2 (b) -1 (c) h (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 3)*(3*n - 2*n + n) - 1 - 3*n + 1 + n + n - 3*n in the form h*n + m and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.302 + -3.302. Which is the closest to w? (a) -3\/5 (b) 1 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1535636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gsssgsss. What is prob of sequence sggg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416803 is divided by 415795.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**4\/4 + 2*m**3 - 3*m**2 - 4*m + 12. Calculate q(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**3 + 122*p**2 + 457*p?\nAnswer: -12*p + 244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74752868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -17532707 rounded to the nearest 10000?\nAnswer: -17530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**2*t)\/t)**(2\/5)\/(t**3*t*t**(-8)) assuming t is positive.\nAnswer: t**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 9258.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -74, -114, -190, -314, -498, -754?\nAnswer: -1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 + 2*i**2 + 33*i - 110. Let m be v(3). Solve -430 = -m*h - 64 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, y: 3, l: 4}. What is prob of sequence lyl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*y + 60 = 3*l, -4*y + 20 = 0. Does 17 divide (-17)\/(-3*5\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4023103 (base 5) in base 10?\nAnswer: 64153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 26872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by -22473?\nAnswer: 64\/22473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 4*o**2 + 839*o + 40. What is q(-27)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 1065*a + 283175. What is r(552)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus 534?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*w + 68 = 0, n + w = -n - 29. Let q = -12 - n. Let x(k) = -7*k + 3*k + 8 + 3*k + q*k. Calculate x(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 5 (b) 0.03 (c) 0.3 (d) 2 (e) -5.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4323543km to micrometers.\nAnswer: 432354300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -10*u + 9*u. Which is the closest to 0.1? (a) 2 (b) u (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 2*f**4 + 0*f)*(33*f - 17*f - 23*f)*(-4 - 2 - 1) + 0*f**5 - 10*f**5 + 0*f**5.\nAnswer: 88*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**4*u**2 - 197*c**4 + c*u - 1881*u**2 + 2*u wrt c?\nAnswer: 8*c**3*u**2 - 788*c**3 + u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**3 - 3*f**3 + 4*f**3 + (-586*f + 38075 - 38075)*(4*f**2 - f**2 - f**2).\nAnswer: -1169*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -159 - -a3?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7329041891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 13*q**3 - 5*q - 7. Suppose 0*f - 5*f = 40. Let d(r) = 19*r**3 - 8*r - 10. Let s(v) = f*a(v) + 5*d(v). What is the first derivative of s(g) wrt g?\nAnswer: -27*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00801165096 rounded to five dps?\nAnswer: 0.00801","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -0.02414 (b) 5\/3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 26.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -7711.466915 to 1 decimal place.\nAnswer: -7711.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 15 (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2968 and 7976129.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 14*z + 21. Determine u(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, r: 2, v: 2}. Give prob of sequence rvv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -9*n**2 + 6*n - 7. Let h(o) = o**2 - o + 1. Let x be 3 + (-8)\/(-2) - 1. Let j(t) = x*h(t) + l(t). What is the derivative of j(r) wrt r?\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 9 = 4*g, -3*g - 2*g - 2*h + 10 = 0. Suppose 0 = 4*o + 4*t + t + 15, 2*t = g*o - 6. Solve o = -4*u - 26 + 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 27 + 9. Suppose 17 = x*a - 13. Suppose -4*m - 46 = -146. Solve -2*k + m = 3*k - 3*j, 2*k = -5*j + a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-5) + 95\/(-25). What is the tens digit of 1 + 0 - (-16 - j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + 5 + 5 + (sqrt(847) - -1*1*sqrt(847))**2 + (-2 + sqrt(847) + (sqrt(847)*-2 - sqrt(847))*2)**2)*-6.\nAnswer: -147474 - 1320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -26722649064153\nAnswer: 26722649064153.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2\/3 (b) -225 (c) -5\/3 (d) -5 (e) -96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.72677 litres in millilitres?\nAnswer: 39726.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -45 + 1c01?\nAnswer: 1b9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13193 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t - 399581. Let c(p) = -4*p**2. What is n(c(q))?\nAnswer: -20*q**2 - 399581","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 47. Suppose -52 + i = 3*b. Sort b, -2, 2 in increasing order.\nAnswer: b, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27740501 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*v + 11*h - 15*h - 20, -3*h = -5*v - 18 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**4\/12 - 31*g**3\/6 + 37*g**2\/2 - 40*g. Let u be h(-32). Solve 2*s + u = s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16338.69 + 16270. Let o = u + 69. Round o to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-544))\/((-4065)\/(-16260)).\nAnswer: -1\/136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 4:31 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -55143.\nAnswer: 1\/18381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 553145.7ml in litres?\nAnswer: 553.1457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 6. Suppose -5*h = 20, g + 4 + 7 = -3*h. Let i(t) = -g + 0 + 3 + 0*t**2 + t**2 + 3*t. Let o be i(-2). Give y(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187814 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 15 = -14*u. Put -5, 0.4, u in descending order.\nAnswer: u, 0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) -5\/4 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.154 + 0.054. What is the third biggest value in u, -4, 0.06, 2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h**3 - h)*(-12544 + 12544 + 198*h**2).\nAnswer: -198*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51280 is divided by 492?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -427 + 428. List the prime factors of (308\/33 - 10)\/(j\/(-1098)).\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 + 10743770*n + 5771429690645.\nAnswer: 5*(n + 1074377)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 728030.46752538 - 2\nAnswer: 728028.46752538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 433, 866, 1299?\n\"Answer: 433*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 17*g**2 + 15*g - 7. Let c be a(-16). Suppose 0 = -2*d + y + 3, 3*d + y - 1 = -c. Is d not equal to 1\/57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -26642*h. Let q(c) = 2*c**2. What is j(q(v))?\nAnswer: -53284*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -23*f - 110. Calculate h(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h - 3. Let c(f) = -5*f - 5. Let m(r) = 2*r + 2. Let k(b) = -4*c(b) - 11*m(b). Let t(s) = s**2 + 9*s + 3. Let z be t(-8). Give z*k(o) + 4*n(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6*o = 30. Let b be 13\/7 + (-3)\/(-21). Let g = b + o. Calculate the lowest common multiple of 9 and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -230, -955, -2168, -3869, -6058, -8735?\n\"Answer: -244*z**2 + 7*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -6*x**2 - 1\/12*x**4 + 0*x + 0 - 10\/3*x**3. Let k be t(-11). Solve -k*h + 3 = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50.4 + 50. Which is the second biggest value? (a) -1\/5 (b) 7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (c + 3*c - 3*c)*(18 + 54*c**3 - 18) + 22*c**4 - 36*c**3 + 36*c**3 in the form r*c**4 + l*c**2 + v + s*c + q*c**3 and give r.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*c - 3*c. Let p(r) = -2*r**2 + 5*r + 1. Let d be p(3). Which is greater: d or c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -194 (b) 1\/5 (c) 5.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 6 = 5*b + 19, k = 3*b + 8. Let w = 4 + k. Suppose -3 = -4*u + w*u. Solve u*m - 11 - 1 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 3. Let r be n(-3). Let w(a) = 3*a**2. Let m be w(-4). Calculate the highest common divisor of m and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 4. Let x be 4*(w + -8)\/(-3). Calculate the common denominator of ((-52)\/x)\/(12\/9) and 32\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + -2. Let n be (-4 - 0)*12\/m. Let p be (-140)\/(-40) + 7\/(-2) + 2. Solve -2*f = -5*r - n, -p*r = -5*f + r - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 2:23 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/(-5)*(-1580)\/(-1106). Solve 4*q = a*v - 20, 2*q - q = -2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -1. Let s(n) = 2*n + 5. Let t(x) = 7*x**2 - x. Let q be t(1). Let v(i) = q*y(i) + s(i). Let k(d) = -d**2 - 11*d - 17. Let u be k(-9). What is v(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 101*w = 38*w + 710 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -17. Let u be 10\/(-45) + 2\/f. Solve -1 = -4*j - z - 10, -2*j - 3*z + 3 = u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y**2 - 170*y + y**2 + 89240 + 156539 - 874*y + 26705 = 0.\nAnswer: 522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 11:10 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -1.4. Let n = r + 1.6. Let j = 2 + n. Sort -6, j, -4 in decreasing order.\nAnswer: j, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 8*f. Suppose 4*o + 22 = -6. What is the least common multiple of (2\/(-4))\/((-11)\/(-4) + -3) and g(o)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by -2674\nAnswer: 5\/382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 7 - 4*v)*(4*v - 12 + 12 + 10*v - 23*v + 105*v + (3*v - 2*v + 2*v)*(-3 + 1 + 0)) to the form d*v + c + a*v**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -15*i + 424. Let t be w(26). Calculate the greatest common factor of t and 1751.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 278 + -1 + 4. Suppose 10 + u = 2*w + 5*c, -2*c = 4*w - 556. What is the remainder when w is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/5706570 and -109\/4014?\nAnswer: 17119710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 2:26 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19 minus 2373494340?\nAnswer: -2373494339.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + -2*(2 + sqrt(98))*2)**2.\nAnswer: 672*sqrt(2) + 1712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 x, and 1 a when four letters picked without replacement from axxaqaqxaaqx.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-4))\/((-4)\/(-632)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -11*f**3 - 3807*f**2 - 291*f + 19015. Calculate n(-346).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -0.05, -0.3, -7 in descending order.\nAnswer: 2, 1, -0.05, -0.3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4909968?\nAnswer: 2, 3, 7, 4871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -10*g**4\/3 - 118*g**3 - 1260*g**2 - 11056*g\/3 - 1280 = 0.\nAnswer: -16, -15, -4, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -8167 >= -8164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3448 + -3448. Solve -26*m + 33*m + 49 = h for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5790, -5685, -5504, -5253, -4938, -4565?\n\"Answer: -r**3 + 44*r**2 - 20*r - 5813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22cc + 5?\nAnswer: 22d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 6*o + 1141. Let c = -276 - o. Let r = c + 166. What is the greatest common factor of 20 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 + g**2 + g**2 + (-g + 3*g - g)*(0 + 0 + 2*g + 1).\nAnswer: 4*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 19.16, -5, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1.021 (b) -17 (c) -2\/9 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.037782*0.3\nAnswer: 0.0113346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 648?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*g + 65*g + 49*g + 55*g - 19*g - 462*g**2 wrt g?\nAnswer: -924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-105)\/(-10)) - (-17750)\/(-1491)) + 48?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**(-4\/5)\/q)\/(q\/(q**8\/q)))\/((q\/(q**(-2)\/q))\/q**(-7\/2)))**45)**21 assuming q is positive.\nAnswer: q**(-4347\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 105*n**2 - 74*n + 859. List the prime factors of o(10).\nAnswer: 7, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 7:29 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bguh when four letters picked without replacement from bubhngubbbgb?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 444154267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 10*v**2 - 10*v - 2. Let d(k) = -k**3 + 9*k**2 - 10*k - 8. Let y be d(8). Let c = -16 - y. Let g(w) = -w**2 + w. Give c*g(m) + j(m).\nAnswer: 2*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -187.9 + 202. Let a = y - 13.9. What is the second smallest value in 0, 5, -3\/13, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/35)\/(9\/7)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.542 - -0.042. Let t = a - -10. Let y = 0.4996 + t. Round y to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 648*k**3 - 324*k**2 + 54*k - 3 = 0.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is b89 (base 13) in base 15?\nAnswer: 8b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -11*m**2 + 1. Suppose -4 = -5*u + 6. Let n = 3 - u. Determine b(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*w + 32 = -70*w. Find the common denominator of w\/(-24)*210\/64 and -85\/152.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3672*j**2*l - j**2 - 4*j - 78217*l**4 + 10624683 with respect to l.\nAnswer: -3672*j**2 - 312868*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b**2 + b + 1. Let y(z) = 13*z**2 + z + 1. Let t(k) = -5*p(k) + 3*y(k). Let c be t(-2). Suppose 54 - c = 2*s. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwuuwjwm. What is prob of sequence mwj?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118 - 7. Let r = i + 150. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342343 is divided by 498.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-37989)\/1206 - (-450)\/(-20)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -191\/45 + -1\/18. Suppose 0 = -13*v - 6082 + 42040. Let i = -35918\/13 + v. Find the common denominator of i and g.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 66, 48, 22, -12, -54, -104?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -16. Solve d = 6*n - 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2052*p - 640292. What is t(312)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 3\/31 (c) 14.0973 (d) -4 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -132 (b) 2\/15 (c) 17\/6 (d) -0.3 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.2 - -4. Let b = -9.1 - -0.1. Let y = -14 - b. What is the third smallest value in s, y, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -328 + 360. What is the remainder when 122 is divided by w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - l**2 - l + 1. Let q be w(1). Suppose c + c = q. Let a = 115 + -113. Solve c*m + m = -a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -10641, -4, -3304?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 78*v + 8*v + 796931 - 3862917. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129148 + 192852 = -3*x + 73*x. Is x a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5452 and 752.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9347295.\nAnswer: 3, 5, 109, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/5)\/(6\/15). Suppose 4*s = -f*s + 18. Factor -3*r + s*r - 4*r + 2 + 2*r**2.\nAnswer: 2*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -35*h + 8. Let o(n) = -33*n + 7. Let k(f) = 6*a(f) - 7*o(f). Give k(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 2*f**2 + 6*f + 1. Calculate the remainder when 15 is divided by t(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/37299050 and 11\/8.\nAnswer: 149196200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 7*u = -12*u + 26, 0 = t - u - 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*l = 2*l + 214, 0 = 4*r + 4*l - 164. Suppose 0 = -h + 3*h - r. Let z = -5 + h. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*j - 4*l, 4*j + 3 = 3*l + 11. Solve 3*h + j*h + 5*a = 10, 5*a - 30 = 5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61926 is divided by 110.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 2*g + 4*d + 14, 4*g = -4*d + 4. Suppose -12 = -g*b - 0. Sort b, 5, 0.\nAnswer: 0, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 10*w - 6. Let l(h) = -13*h**2 - 222*h - 16. Let p be l(-17). Give u(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 539*z - 518*z = -357 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 11. Let u be (5\/(-3))\/(3\/f). Solve 2 = 3*h + u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 9080.\nAnswer: -18160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 248 and -152568769044.\nAnswer: -152568768796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1533 - 1841. Do -307 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 472 + -452. Suppose -15 = -0*c + c. Let f = h + c. Let v(k) = -k**3 + 4*k**2 + 3*k + 1. Give v(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 225 from -11609560.\nAnswer: -11609785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -500092851 divided by 37?\nAnswer: -13516023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 780.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 6*(-2 + sqrt(243)) + -5 - ((sqrt(243) - -3*sqrt(243)) + 5 + sqrt(243) + 2 + sqrt(243) + -2))**2.\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -9*b**2. Let j(l) = 0*l + 4*l + 10*l - 20*l. Give j(t(c)).\nAnswer: 54*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8398.447 nanoseconds?\nAnswer: 0.008398447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c0d - -19b?\nAnswer: daa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2353323 (base 6) to base 4.\nAnswer: -132033303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.075 plus 1.3?\nAnswer: -20.775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight sevenths of a week in hours?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5 + -1*sqrt(637) + sqrt(637) - (-6*(sqrt(13) + (sqrt(26)\/sqrt(2) - sqrt(13))) + sqrt(13) - sqrt(13)*-1*6))**2.\nAnswer: -10*sqrt(13) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**2 + 9*i**2 + 22*i**2 + (-3 + 2 + 6)*(-26 + 26 + 12*i**2) to the form u*i + w*i**2 + a and give w.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 14*q - 14. Suppose -2*n = 8, 0*t + 2*n = -3*t + 1. What is the least common multiple of t and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 196 + -290. Let d = b + 98. Sort 1, -1, d.\nAnswer: -1, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*f + f**2 + 29*f)*(0 + 0 + 3)*(15*f**2 + 637 - 637).\nAnswer: 45*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*c - 7. Let s = 937\/3 - 311. Determine o, given that -s*o + 0 - 2*o**c + 10\/3*o**3 = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.062 take away -0.03313735?\nAnswer: -0.02886265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*c + 10 = 0. Let h be c\/(-3)*18\/(-4). What is the remainder when 25 is divided by (42\/(-9))\/(1\/h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 745 = -5*c + 770, -k - 20 = -5*c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 334683 by -334683.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -22425806 divided by -461\nAnswer: 48646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*m*u**2 - 30537*m*u - 45*u**2 + 1018 with respect to m.\nAnswer: -5*u**2 - 30537*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 308258907 or 308258911?\nAnswer: 308258907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*t - 20. Let s be 470\/150 + t\/(-30). Is s at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 + 50. Which is the biggest value? (a) 1\/8 (b) p (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 3213 = 5831. List the prime factors of a.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61\/85 + -2\/17. Which is the biggest value? (a) -4 (b) -4\/9 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9 - (-1 + -5))\/3. Suppose -q*a + 2987 = -5*v - 1928, -5*v + 2949 = 3*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 10*j - 8. Let d be s(8). Let a(n) = -n + 23. Calculate the remainder when 56 is divided by a(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xqsqhnqshhsqhqqx. What is prob of picking 1 q and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k + 35*k - 178*k - 34*k + 40*k.\nAnswer: -129*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/4)\/((-1)\/2). Let t be (2 - 4)\/(m - 0). Suppose -3*q + 3*u - u = 5, -u = 4*q + 3. Which is greater: t or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 9*j**2 - 4. Let x(y) = 17*y**2 + 18*y - 18. Let p(d) = -8*d**2 - 8*d + 8. Let m(u) = -9*p(u) - 4*x(u). Determine m(w(f)).\nAnswer: 324*f**4 - 288*f**2 + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g*g**(1\/3)*g)\/g))**(-5))**(18\/5) assuming g is positive.\nAnswer: g**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/156*-32 - 400\/200.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.49215 + -484?\nAnswer: -483.50785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence issi when four letters picked without replacement from {s: 9, i: 5}?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 2*x - 399. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*a**5 + 25372*a**4 + 263076*a**3 + 31828*a**2 - 263040*a - 57200 = 0. What is a?\nAnswer: -10, -1, -2\/9, 1, 715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*i**2 - 33*i**4 - 3*i**6 - 4*i**2 + 8*i**6 + 22*i**2 - i + 0*i**6 wrt i?\nAnswer: 600*i**3 - 792*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22333*41632\nAnswer: 929767456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 11*k + 77*k - 24*k.\nAnswer: 42*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 11*u - 9. Calculate l(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3358 and 27667?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*y, 3*g = -0*g - 3*y + 1020. Suppose g = -5*n + 902. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 28 = 3*r - 6*r, -2*b + 40 = 2*r. Suppose -2*h = -4*o + r, -5*h + 18 + 17 = 5*o. Solve j + o = n, -14 = 2*j - 4*n - 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j\/(j\/(((j*((j**7\/j)\/j)\/j)\/j*j)\/j))*j))*j**(3\/4))\/(j**(1\/3)*j*j*j**(-2\/17)*j) assuming j is positive.\nAnswer: j**(721\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -10. Suppose -1060*p = -1079*p. Sort p, -4, g in decreasing order.\nAnswer: g, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -451 (base 6) in base 5?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17501011?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u = 8*u - 33*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 349\/4 - 88. Let y = 9.1 - 2.3. Let r = y - 7. Which is the fourth biggest value? (a) -2 (b) 1\/3 (c) v (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 4*j**2 + j + 5. Let x be z(4). Suppose 4*o - x = 11. Let i = -29 + 57\/2. Which is the closest to i? (a) 0 (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1400*l - 5*j - 26560 = -1405*l, -15950 = -3*l + j. Calculate the remainder when l is divided by 313.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -1. Suppose 9*y = 4*y - 20. Suppose 11634*z - 11585*z = 147. Sort -1, s, z, y.\nAnswer: y, -1, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 7\/4 (c) 1\/4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 8*s + 20 = 0. Let l be -1*0*3\/(-24). Solve 5*k + 5*a = -l + 25, k = s*a + 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26519627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 236 = -88. Let c be ((-540)\/m)\/((-65402)\/(-65400) + -1). Round c to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5272, 10130, 14568, 18580, 22160, 25302, 28000, 30248?\n\"Answer: -v**3 - 204*v**2 + 5477*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c = 16 + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8264953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {r: 4, p: 1, g: 1, y: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 3. Let k be v(8). Let j be (3\/2)\/(k\/70). Which is smaller: -22 or j?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22113 + 22154. Let j(r) = r**3 - 40*r**2 - 39*r - 78. Calculate j(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -h**5\/20 - 81*h**4\/2 - 13122*h**3 - h**2 + 66*h. Factor n(d).\nAnswer: -3*(d + 162)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 9624.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (17 + -8 + 2 + -9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -124\/7 - -108\/7. What is the common denominator of ((-4)\/8)\/((-1)\/108*-14) and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -13*f**3 + 543*f**2 + 134*f - 432. Determine m(42).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -118*u**2 - 109*u**2 + 228*u**2. Let g(x) = -110*x**2. Calculate i(g(l)).\nAnswer: 12100*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97 + 96.99999735. Round v to 7 dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 a when two letters picked without replacement from {x: 2, u: 2, a: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7757, -15517, -23275, -31025, -38761, -46477, -54167?\n\"Answer: r**3 - 5*r**2 - 7752*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 17. Let h = 11 + t. Let g = h + -3.6. Which is the closest to 1? (a) g (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5077, 10217, 15347, 20461, 25553, 30617, 35647?\nAnswer: 40637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131443 - 130?\nAnswer: -132123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1151741, 2303469, 3455193, 4606913, 5758629, 6910341?\nAnswer: 8062049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73 + -73.6. What is the second smallest value in 0.4, 1, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and -6.5.\nAnswer: -0.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 10*b**2 + 5*b + 11*b - 3 - 25 - 28*b. Give m(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 264, -3, -156.2, 2\/3 in increasing order.\nAnswer: -156.2, -3, 2\/3, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3429 and 30?\nAnswer: 34290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 89056501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5989*y**2 + 1301*y**2 - 41178*y**2 + 1543*y**2.\nAnswer: -44323*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.2430267*-5.\nAnswer: -16.2151335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4734 divided by -1578.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.514 + 111.086. Let g = f - 112. Which is the smallest value? (a) g (b) 3\/7 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*6 - 373736\/(-88). Suppose 0*t = -4*t - 5*z + f, -3 = -3*z. List the prime factors of t.\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n. Let d be 34\/(-8) - (-2)\/8. Let k = d + 4. Let q(i) = k*i + i + i. Give b(q(x)).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*q - 84 = 0, 2*f - 4*f + 42 = -2*q. Suppose 27*m - 25*m = 10. Suppose f = m*z - 19. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87\/(-12)*(1728\/1296)\/((-7)\/84*1)\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/8*(-192)\/108. Let b be 3\/(36\/(-10))*2. Let w = b - g. Which is bigger: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + 4*a - 2*a + (0 + 0 + 2*a)*(0 - 2 + 4) - a - 2*a + 4*a + (-7*a + 0*a + 0*a)*(-7 + 4 + 14 + (6 - 2 - 3)*(-4 + 0 + 2) + 2 + 0 - 1).\nAnswer: -64*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*m = 8257168 - 8254843 for m.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5882.19675 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/3 + 692*a - 179574.\nAnswer: -2*(a - 519)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2880)\/600)\/(-3 + (-198)\/(-60)) - -20.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -32 (b) 1\/3 (c) 5019 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.17 in -1.01, -18, 4?\nAnswer: -1.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117 + 59 + 526*m + 58.\nAnswer: 526*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 56758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 340979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -850.9676 to the nearest 10.\nAnswer: -850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*a, n = -3*a + 19 + 46. Let q = n + -20. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 12) to base 4.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 7 + 15 - j to x*j + f and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-36)\/66 + 562\/22. Let n be (k - 30)*(-1 + 0). Solve -3*i + 4*h - 7 = -0, n*h = -10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2741 is divided by 27?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**7\/21 - j**6\/10 + 43*j**5\/2 + 7*j**4\/12 - 4*j**3 - 1365*j. What is the third derivative of a(l) wrt l?\nAnswer: 120*l**2 - 72*l + 2580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d**2 + 47*d + 49. What is f(14)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01 + -0.31. Let n = k - -0.2. Put n, 0.4, -0.3 in decreasing order.\nAnswer: 0.4, n, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6461133 (base 8) in base 9?\nAnswer: -3224808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*j - 62 = 0. Let t(b) = b**3 + 31*b**2 - 3*b - 66. Let w be t(j). What is the highest common divisor of 279 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -549, 0.11, 2 in increasing order.\nAnswer: -549, 0.11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 7, -3\/5, 313?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z = -3*z - 2*t - 10, 5*z = 3*t + 16 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1257040.\nAnswer: 2, 5, 19, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 - -100?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 34*f + 338. Let a be q(-42). Find the common denominator of 26\/(-88) - (a + 176\/(-64)) and -1 + 113\/14 - 2.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 11. Let a = t - -11. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*m - 408, 15*m - 10*m = -4*g + 725. What is the remainder when g is divided by 177?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -10*g - 5*b - 4, -5*g + 4*b = -67. Solve 0 = -6*i + g + 19 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1673346, -1673344, -1673340, -1673334?\nAnswer: -1673326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 434212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4921699 and -0.8.\nAnswer: -4921699.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 714 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = -9*l - 6, 5*l = 4*c - 6. Let n(x) be the first derivative of 7\/4*x**c + 0*x**2 - 9*x + 0*x**3 - 5. What is the derivative of n(q) wrt q?\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*a = 46*a + 713496 + 1563708. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/558372 and -71\/558.\nAnswer: 1675116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13640 by -310.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 711.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 68 = 2*y, 76186*m - 5*y + 3 + 5 = 76187*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -1\/9 (b) 239 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10086 or -10075?\nAnswer: -10086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 - 1787*d**2 - 41 + 89.\nAnswer: -1787*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/190525264 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j. Let g(l) = -2*l + 38. Let r be g(17). Let c(a) = -2*a**2 - 61*a + 55*a + r*a**2. Determine c(m) + 4*s(m).\nAnswer: 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 4)\/((-2)\/(-6)) - 7102\/2010?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39174362 greater than or equal to -39174356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2372 != -2236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 672*b + 23*b**2 + 10*b**2 + 19*b**2 + 14*b**2 - 64*b**2 = 0. Calculate b.\nAnswer: -336, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - (-4 - (5 - (19 - 28))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 6*s + 23. Let g = 6 - 3. Suppose g*f + 3 = 9. Solve -3*y - 2*h + s = -y, 5*h = -f*y + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 394 = 12*o - 1478. Calculate the highest common factor of 130 and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -228, -302, -378, -456?\n\"Answer: -l**2 - 71*l - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 258 = 2*f, -377 = -15*u + 12*u - 2*f. Sort u, 3, 4, -5 in decreasing order.\nAnswer: u, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 5)*1\/6. Let y = 0 - 4. Let h = -1 - y. Is w greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 4. Let l be n(0). Suppose h = -l*h + 10. Suppose 5*k - 4*p - 1799 - 416 = 0, -h*k + 2*p = -888. Round k to the nearest 10.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j**3 + 2*j**2 + 20*j + 18. Let g(m) = -5*m**3 + m**2 + 19*m + 17. Let a(x) = 5*g(x) - 4*i(x). What is the remainder when a(-6) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43642*t**4 - 3526*t**2 + 2*t.\nAnswer: 1047408*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**3\/4 + 97743*n**2\/4 - 537535*n\/2 + 439794 = 0.\nAnswer: 2, 9, 97732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= 0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9694 (base 12) to base 6\nAnswer: 204304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2807.5 rounded to the nearest 100?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/((j\/(j\/(j*j\/j**(-25)*j)))\/j)*j)\/j)\/j**(-1\/10) assuming j is positive.\nAnswer: j**(-249\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.17 - 408504.61.\nAnswer: -408504.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10110 (base 2) to base 15\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/(-6))\/2*-3. Suppose 0 = 8*f - 5*f - 6. Suppose l*w - t - 958 - 269 = 0, -f*w - t = -615. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 41394835.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 73*u**2 - 4047*u - 3931781 wrt u.\nAnswer: 146*u - 4047","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**3 + 42*b**2 + 8*b + 1234. Let s(u) = 4*u**3 - 39*u**2 - 6*u - 1238. Let r(w) = 3*q(w) + 4*s(w). Differentiate r(y) with respect to y.\nAnswer: 21*y**2 - 60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.4 rounded to 0 dps?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 156093486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3763737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**2 + 2. Let y(n) = 2*n**2 + 3. Determine 6*h(l) - 4*y(l).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, 74.9523, 37?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11011010110111011100 (base 2) to base 12\nAnswer: 372964","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5903.7 + 1793764.\nAnswer: 1787860.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2033.31 + -2045. Round q to 0 decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 11\/(88\/64).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1031.682kg to micrograms.\nAnswer: 1031682000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2 + 30 = 0. Let j = 0 + f. Let m = j - 4. Let w(b) = b + 2. Let k(g) = 5*g + 10. Determine m*w(c) + 2*k(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q = 23 - 66 - 47 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -5. Solve -r*z = 3*p - 13, -3*z - 23 = -2*p - 2*p for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/15)\/((-2)\/(-230)). Suppose 0 = 5*b + 6*o - 2*o + d, 2*b + 21 = o. What are the prime factors of 10\/(b\/2) - -74?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27809384093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 122 = -0*y + 4*g, -4*g = -y + 46. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = 338 - 1028. What is the common denominator of 85\/4 and r\/(-36)*(-3 + 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**2. Let d(f) = -6*f**2 - 33*f - 432. Determine d(s(t)).\nAnswer: -54*t**4 - 99*t**2 - 432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/3 - ((2 - 3) + -1). Solve -5 = -a*p - 20 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-340)\/(-51) - (-5)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9666572 is divided by 385.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 14, -0.5, 1, -0.032?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 5*r + 4 + 13 = 0, 14 = 2*z - 5*r for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wh when two letters picked without replacement from {w: 1, h: 1, t: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 386.4 - 441. Let g = k + 42.3. Which is bigger: g or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 22*a - 4. Let n(l) = 2*l**2 + 23*l - 6. What is -3*n(f) + 4*q(f)?\nAnswer: -2*f**2 + 19*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 47*p - 3. What is the tens digit of t(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 1551*a - 226423. Calculate k(146).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**3 - 4 - 110714*l + 110714*l - 115*l**3.\nAnswer: -117*l**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000443786 rounded to six dps?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3 = 0, -3*n - 1 + 10 = 2*y. Suppose 3*v + y = 6. Let j be (28\/(-10))\/(2\/v). Which is smaller: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-14 + -11)) + -16?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -27020418720 rounded to the nearest one million?\nAnswer: -27020000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -280\/9 in -0.2, -0.4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 110183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*z - 179*z = -410. Calculate the highest common factor of 625 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -17.1. Let k = 270.4 + -270. Which is smaller: k or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/6 + (-32)\/6. Let f be 40\/12*k\/(-5). Find o such that -4*o**3 - 2*o**5 + 4*o**5 + 8*o**2 + 0*o**5 + 2*o - 4*o**4 - f = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13014 + 5?\nAnswer: -13009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1.6*11.5\nAnswer: 18.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6*f + f - 3 + 3*f + 20. Let x be m(8). Which is the nearest to x? (a) 2\/5 (b) -6\/5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-8) - 2)*-2. Suppose 0 = -0*i + p*i - 65. Let u = i - 13. Solve 2*t - 2 = -u*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -29*h**3 - 8*h - 5. What is l(-2)?\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -125072*p**2 + 133801 wrt p?\nAnswer: -250144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/149099 (b) 2\/7 (c) 244\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 52 (c) 0 (d) 3\/7 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8424 rounded to 2 decimal places?\nAnswer: 1.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, a: 4}. What is prob of sequence ai?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-596)\/(-6)*90\/(-420). What is the fourth biggest value in 0.3, c, -4, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*x + 4*x - 3*x to g + j*x and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/(((x**6*x*x)\/x)\/x)*(x**(-2\/9)*x)\/x*(x*(x\/(x*x**(1\/12)*x))\/x*x)\/x**0 assuming x is positive.\nAnswer: x**(-155\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 5*z = 2, 4*y + 25*z - 24*z + 18 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200222 - 222101?\nAnswer: -1200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 818.98 + -786. Let l = 150 + -183. Let a = l + p. Round a to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29966765.\nAnswer: 5, 5993353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1818.8208 minutes to hours.\nAnswer: 30.31368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -590172, -1180338, -1770504?\nAnswer: -2360670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.001531313963 rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -343678446114 - 5?\nAnswer: -343678446119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.1, -4, -6\/275?\nAnswer: -6\/275","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*y + 2930 = 2*q, -q + 581 = -2*y. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t - 3. Let w = 1490 - 1471. Calculate the smallest common multiple of c(7) and w.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -1. Find the second derivative of -41 + 3*u - d*u**3 + 41 wrt u.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 0. Let k = g - 0. Which is greater: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 616?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 5*h**2 + 3. Let j be m(5). Suppose -902*n - 1545 = -1005*n. Solve j*t - 9 = -n for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7428882*o**3 - 16605047*o wrt o?\nAnswer: 44573292*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbbgbbb. Give prob of picking 1 g and 1 b.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/5 and 24\/8121131.\nAnswer: 40605655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/(16\/3 + -5). Which is smaller: -40 or s?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 137 = -5*m, -2*h + 3*h = 1. What is the greatest common divisor of m and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 8, k: 5, y: 2}.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -353*d - 1546. Calculate the lowest common multiple of 1144 and u(-6).\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2942 divide 34127200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -8*m + 21. Suppose 0 = 2*h - h - 12. What is the remainder when m is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1269709986699 - 20\nAnswer: -1269709986719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -6. Let q = u + 20. Solve 6 = 5*h - q for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*v*w**3 - 4817*v*w**2 - 23439*v*w + 24*v + 4*w**3 + 1688*w**2 + 172*w wrt w.\nAnswer: 12*v*w - 9634*v + 24*w + 3376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 37 = -4*g, -20*o + 17 = -3*g + 67 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 199574 a multiple of 329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 6*v**3 - 3*v**2 + v. Let l be f(2). Let b be (-271)\/(-5) - 1\/5. Let x = b - l. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143618?\nAnswer: 2, 71809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 902388447 to the nearest integer?\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5520)\/69)\/((-30)\/(-36)))\/(-3).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20652*d**3*f*v**2 - 2*d**2*f - 2*d*v + 9*f*v**2 + 5868*f wrt d.\nAnswer: 123912*d*f*v**2 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14024, 14038, 14050, 14060, 14068, 14074?\nAnswer: 14078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 342160864 to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((((-380)\/165)\/19)\/((-256)\/160))\/(20\/32)?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 9:55 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 15980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y - 3. Let g(h) = -h + 1. Suppose -v - 2*v - 3 = 0. Let j(n) = v*s(n) - 3*g(n). Let q(d) = -2 + 2 + 2*d + 3*d. Give j(q(z)).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 385, 1229, 2537, 4309?\n\"Answer: 232*u**2 + 148*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (51*b - 329*b - 559*b + 1903*b)*(-1 - 1 + 3 + (-1 + 4 - 5)*(3 - 3 + 1) + (-2 - 1 + 2)*(-3 + 6 - 2)) in the form x*b + h and give x.\nAnswer: -2132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)\/(sqrt(50)\/sqrt(5)) + (sqrt(8) - -2*sqrt(8))*5 + -1 - (sqrt(480)\/(sqrt(70)\/sqrt(7)))\/sqrt(6)*6.\nAnswer: -1 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13464.276238 and -5.\nAnswer: -13469.276238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*i - 68*i = 85*i + 210 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/880542990 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 64*s**2 - 135949*s - 9 + 135947*s - 60*s**2. Let p(d) = -6*d**2 + 3*d + 14. Calculate -8*j(t) - 5*p(t).\nAnswer: -2*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.23856 micrometers to kilometers.\nAnswer: 0.00000001223856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l + 18*l - 1326 = 249*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-12)*102\/(102\/6))\/19.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.1, -495\/7 in ascending order.\nAnswer: -495\/7, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ux when two letters picked without replacement from uixxuuuuucc.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6*w - 24. Determine s(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/9, -0.11, -1, -0.51?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 1 + sqrt(19))*6 - (sqrt(209)*2)\/sqrt(11) - ((sqrt(475) - sqrt(475)*4)**2 + sqrt(475) + 4)*3.\nAnswer: -12831 - 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**4\/4 + f**2 - 2*f - 1. Suppose -1428*q = -1463*q + 140. Let j(a) = -a**3 + 2*a - 2. What is q*j(o) - 3*y(o)?\nAnswer: -o**3 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/29 or 2?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6490 and 153941030.\nAnswer: 1693351330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (114 - 111)\/(99\/(-6))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-4))\/(3\/(-18)). Suppose n*b + 7*b = 790. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 24, 5, 1, -2 in descending order.\nAnswer: 24, 5, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 + 304*c**2 - 283*c + 3479. What is j(-153)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**4\/4 + w**2. Let r be m(-2). Find the common denominator of (-16)\/(-10) - 6\/r and 51\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23817 and 2335?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -5*p**2 - p - 5. Let j(a) = -a**3 + 22*a**2 - 22*a + 12. Let w be j(21). Let k(x) = 0*x + 11 + 11*x**2 + 4*x - 2*x. What is w*r(g) - 4*k(g)?\nAnswer: g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/i**(-1\/4)))\/i)\/i*i)**(-1)\/((i\/i**(-2))\/i**3) assuming i is positive.\nAnswer: i**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*g - 5*q, -g + 5*q - 6 + 21 = 0. Let s = 1.39 + -1.79. Which is the second biggest value? (a) -0.3 (b) g (c) -4 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g + 7 - 33 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + -38. Let f = 11 + t. Let l = -3\/104 - -119\/520. Sort f, l, -1\/10 in decreasing order.\nAnswer: l, -1\/10, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 296189\/28 + -10577. What is the common denominator of 33\/284 and s?\nAnswer: 1988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.06, 36, -5, -0.186, -3, 18, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.25 - 0.15. What is the third smallest value in 2\/11, 5, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75016 is divided by 14506.\nAnswer: 2486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y. Let u = 15 - 22. Let c be q(u). Let k = c + -5. Calculate the remainder when 35 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -w**4\/4 - 4*w**3\/3 + 5*w**2\/2 + 4*w + 3. Let c be y(-5). Suppose c - 22 = -2*b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 3*m + 4*m + 1, 7 = 3*q - m. Suppose 19 + 7 = 3*y + 5*l, -q*y - 4*l = -22. Solve 0 = -3*v - y*v - 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 450 (b) -152 (c) -11 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28440*a**2*d**3 + 211*a*d**2 + a + 34*d**3 wrt a.\nAnswer: -56880*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34856383403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-9) + (-266)\/(-63). Suppose 4*s - 3*s - 4*k - 12 = 0, 0 = -4*s - c*k + 8. Suppose -10 = s*u - 6*u. Solve -u = -5*x + 4*j, -3*x + x = j - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1608 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 greater than or equal to -2\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 divided by -55?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + u - 5, -7415*q + 7407*q + 3*u = 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, n: 4, a: 10, h: 3}. What is prob of picking 1 a and 1 n?\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*s, 2*s - 769 = -v - 762 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 6) to base 15.\nAnswer: 1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 0*z + 3*z - 2 - 2. Let r be j(6). Let m = -6 + r. Calculate the remainder when m is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - o - 7, -2*o + 30 = 4*g - 7*o. Solve 23 = 2*s - 3*y, 2*s - g*s - 3*y = 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2119 - -1386. Let c = -515 - w. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*d - 142. Let o = d - 38. Let c = 53 + o. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 264825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 396 = 3*v, -5*v = 2*a - 198 - 52. List the prime factors of a.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4483808*g**2 + 996*g - 1596 wrt g?\nAnswer: -8967616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 36 and -18?\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8841525 and 187?\nAnswer: 150305925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from iviviii?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-150))\/(27\/(-11070)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z - 67. Let k(y) = 180895*y. Calculate k(l(f)).\nAnswer: -542685*f - 12119965","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1699055 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 13444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -315 - 260 + 574 + 25*l + 6*l. Let x(y) = -26*y. Determine g(x(q)).\nAnswer: -806*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003816814 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 168003, 5, 14 in descending order.\nAnswer: 168003, 14, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - -4. Calculate the smallest common multiple of 16 and y.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(-6)*(-163 - -4) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.429 - -0.4290361. What is s rounded to six decimal places?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + z - 41, 5*t - 111 + 1 = -4*z. Let j be -58 + 63 - (-83 + -2). What is the greatest common factor of j and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60.8 + 34.5. Let g = t - -26. Let q = 4.4 - 4. Which is the third smallest value? (a) -1\/5 (b) g (c) q (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 2. Let n be b(4). Let v be (3\/n)\/((-18)\/(-24)). Let o = 15 + v. Calculate the remainder when 33 is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(5\/2)))\/k**17)\/((k*k*k**(-8\/3)*k)\/(k*k\/(k*k**14)*k)) assuming k is positive.\nAnswer: k**(-161\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (6 - (-3 + (8 - (5 - 8))) - -67)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4727 and 1799846?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3114, 12464, 28048, 49866, 77918, 112204?\nAnswer: 152724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 55\/4 - (3 + (-65)\/20). Let h be ((-12)\/9)\/((s\/21)\/(-1)). Factor 2\/9*n**h - 4\/9*n + 0 - 2\/9*n**4 + 4\/9*n**3.\nAnswer: -2*n*(n - 2)*(n - 1)*(n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -547, -1133, -1719, -2305, -2891, -3477?\nAnswer: -4063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 69*f + 20. Let j be t(4). Suppose 4*q - 604 = -4*r, 9*q - 7*q + 4*r = j. List the prime factors of q.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**2 + 5*f + 5. Calculate b(-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**2 + 205*k + 210 = 0 for k.\nAnswer: -1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 12*m - 184. Calculate the greatest common divisor of 23 and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*-1)\/(23102\/288775)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a gram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) 2 (c) -1\/12 (d) -2 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 19844 (b) -1.4 (c) -2 (d) -2\/59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*o + 64*p + 132 = -147*o, -p = 4*o - 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -t**6\/2 - 9*t**5\/5 + 9*t**4\/2 + 10*t**3 - 63*t**2\/2 + 27*t + 192. Solve k(b) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 7:43 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 5*f - 2. Let s(w) = -15 + 4*w + 2*w - 8 + 20 + w**2. Suppose -15 = 2*u - 5*u. Give u*r(t) - 4*s(t).\nAnswer: t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/2 + 0)*1. Let r = i + 7. Solve -r*k + 10 = -15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3412 is divided by 514?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 210 - 199. Let h be (114\/10 - r)*10\/6. What is the nearest to -4 in 2, 0.1, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-91)\/(-3) - 12\/27*3. Let t(a) = -a**3 + 31*a**2 - 55*a - 72. Calculate the remainder when 131 is divided by t(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -0*m + 3, 0 = i + 2*m - 26. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 11*p**2 + 4*p - 2. Let d(f) = -f**2 + 1. Let n(y) = -6*d(y) - i(y). Let u(b) = 11*b**2 + 9*b + 8. What is -9*n(c) - 4*u(c)?\nAnswer: c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) - sqrt(32))*-3 - (sqrt(1152)*-1 + sqrt(1152)))\/(-2*sqrt(72)\/sqrt(2)*6).\nAnswer: -sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15484 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {y: 1, x: 3, m: 2, v: 3, s: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 divided by 56?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -10*z**2 + 11*z + 16. Let s(u) = 3*u**2 - 2*u - 3 - u**2 + 0*u**2. Let y be 48\/26 - (-2)\/13. What is y*c(m) + 11*s(m)?\nAnswer: 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q + 108. Let d be l(-34). Solve -t - 1 = 0, d*u - 5*t = u + 25 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqjyu. What is prob of picking 1 j and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 + 2*b + 2*b**2 - b**3 + b - 2 + b**2 in the form k*b**3 + v*b**2 + x + h*b and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 j when three letters picked without replacement from dicntijcjnin?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/2*(-315)\/45.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 + 53. Let y be 6\/(-18) - f\/(-3). Suppose 0 = -u + 2*w - 4, -y*u + 4*w + 2 = 4. Solve -u*k - 2*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 8:08 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 23*y**2 - 26*y + 31. What is i(-24)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2824.539 rounded to the nearest one hundred?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 73466152 to the power of 1\/2, to the nearest integer?\nAnswer: 8571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 0 - 1\/2*r**3 + 17*r**2 - 7\/24*r**4 - 2\/15*r**5 + 0*r - 1\/120*r**6. What is a(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/2 (b) 0.3 (c) 0 (d) -3 (e) 6\/11 (f) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) - sqrt(7)) + -3 + sqrt(7) + sqrt(7))**2 + -2.\nAnswer: -24*sqrt(7) + 119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 481 divide 275613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204*k + 109*k + 39*k + 38*k.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -18, -0.4 in ascending order.\nAnswer: -18, -2, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 times 93.3?\nAnswer: 1679.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*g + 969 + 968 - 16*g - 1937.\nAnswer: -67*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 3536.\nAnswer: 3532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j. Let r(s) = 38163*s + 17. Let p(x) = -9539*x - 4. Let f(o) = -17*p(o) - 4*r(o). Determine g(f(c)).\nAnswer: -19022*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*b - 1429 - 2021. Suppose b = 5*g + i, -i - 290 = -4*g + i. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572454705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k + 4 - 4)*(-1 - 2 + 1) + 10*k + 8*k - 9*k in the form x*k + d and give x.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8.32 in 4\/7, -1, 41, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 516 and 0.4.\nAnswer: 516.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - z + 3. Let m be w(3). List the prime factors of (-2)\/m - (-27328)\/144.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 10*a - 13. Let k be g(6). Suppose -4*w = 2*p - 16, 5*w - 9 = 4*p + k. Suppose -2*o + 59 + 13 = p. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1497186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 171.5 - 140. Let t = r + -32. Let y = 31\/92 - 2\/23. What is the nearest to y in t, 0.3, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 117864 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*c*j**3 + 4*c*j + 704*c + j**4 wrt j.\nAnswer: -24*c*j**2 + 4*c + 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + 0 - 27 - -9) + 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(4\/3)\/a)**(-44) assuming a is positive.\nAnswer: a**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/6 - 2110*t\/3 + 4219\/6.\nAnswer: (t - 4219)*(t - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -209864 divided by -4.\nAnswer: 52466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -7 and 189 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nxktlloxnlx. What is prob of sequence lolt?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 152*c - 132*c - 17280. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p*t*y**2 - 245*p*y**3 - p*y - 4*p + 2*t*y**3 - 22*t*y + 5*t - 2*y wrt y.\nAnswer: -4*p*t - 1470*p*y + 12*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 271449043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 46 - -501?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 6:51 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*d + 2*d**2 + 5*d)*(-579*d - 1905*d + 365*d) to b*d**2 + o*d**3 + r*d + s and give o.\nAnswer: -4238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 144717048 a multiple of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 + 1275. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17452 is divided by 17430.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = d + 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22122201 (base 3) to base 10.\nAnswer: 6310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 123218772667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*h - f, 0 = -2*h + 4*f - 9*f + 9. Let q(b) = -394 + b**2 - 3*b**h + 394. Let o(t) = t - 61. Give o(q(y)).\nAnswer: -2*y**2 - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2049 + 6082\/3. Let a(k) = -k + 40. Calculate the common denominator of a(0) and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (26 + 5 - 43) - 106?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*j**3 + 114*j**3 - 237*j**3.\nAnswer: -15*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -535 + 529 + (-2 - -29).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 187 and 4924051?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -267 + -1c?\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 0. Let x = -24 - -23. Let s = -1140 + 1140.05. Which is the third smallest value? (a) s (b) o (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1142.\nAnswer: -2\/571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = o - 14. Calculate the smallest common multiple of 17 and o.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/20)\/(-17*(-2)\/136))\/((-936)\/(-80)).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - f**3 + 77783*f**2 - 74945*f**2 - 4)*(-3*f**2 + 2*f**2 + 0*f**2).\nAnswer: f**5 - 2838*f**4 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 - 2*y - 2. Let v be h(3). Suppose -v*w + 5*w = -35. Does 2 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 150893508?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3))**(2\/63)*i\/((i\/(i*i**(1\/3)*i))\/i*i)*i\/i**(-5)*((i**(-1))**(3\/7))**18 assuming i is positive.\nAnswer: i**(17\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 + 4*z**2 - 2*z + 2*z**3)*(-4*z - 3*z - z).\nAnswer: -16*z**4 + 16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**1)**(1\/3)\/(w**(-6)\/w**(-5)) assuming w is positive.\nAnswer: w**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28 and -1152.504.\nAnswer: 32270.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 385 and 275.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3727 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02991 and -20.\nAnswer: 0.5982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 775*b**3 + 157355*b**2 + 317640*b + 12060 = 0. Calculate b.\nAnswer: -201, -2, -6\/155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 + 46. What is the nearest to b in 1\/2, -0.1, 1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m. Let v be (-6)\/21 + (-12)\/7. Let r be 2\/v - (-4 - -1). Let h(q) = -6*q**2 + 3*q**2 + 2*q**r - q**2. Give o(h(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2462*k**2*t**2 - 923*k*t**2 - 11*t**2 - 108008 wrt k?\nAnswer: 4924*k*t**2 - 923*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 131872059 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 906191 < 906206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -498, -991, -1460, -1893, -2278, -2603, -2856, -3025?\n\"Answer: 2*y**3 - 507*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 670*d - 1005*d + 364*d.\nAnswer: 29*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of t**6\/150 - 2*t**5\/75 - t**4\/10 - 3*t**2\/2 + 5. Let n(k) be the second derivative of w(k). Factor n(r).\nAnswer: 4*r*(r - 3)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 276*r - 955*r + 326*r + 328*r.\nAnswer: -25*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9178, -18345, -27512, -36679, -45846, -55013?\n\"Answer: -9167*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4941640, -4941639, -4941638?\nAnswer: -4941637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 + -68. Sort 4, -3, i in descending order.\nAnswer: i, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 2*q**3 + q**2)*(5*q**2 - 12*q**2 + 5*q**2 + 4).\nAnswer: -4*q**5 + 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 3 (c) 2\/7 (d) 150 (e) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -8*w**2 - 9*w + 563. Let f(k) = -2*k**2 - 2*k + 140. What is -9*f(h) + 2*q(h)?\nAnswer: 2*h**2 - 134","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((d - 2*d + 0*d)*(-2 - 1 + 1) + 0*d - d + 2 - 1)*(79 - 39*d - 27 - 19) to the form s*d**2 + n + q*d and give n.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -270756? (a) 0.03 (b) -0.1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*u)*(4*u - 4*u - u**2) - 2*u**3 - u**3 + 4*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.55 - -4.55. Let y be (-1)\/(-2)*(1 + 1). Put -1\/9, y, k in decreasing order.\nAnswer: k, y, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 273*d = -271*d + 10, -3*d - 11 = 5*n. Suppose -u = 5*v - 24, 2 = -4*u + 2*u. Solve -v*i + 3*p + 19 = p, -n*p = 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 23839.6, -9 in decreasing order.\nAnswer: 23839.6, 4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2353 is divided by 335?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*t + 1383 = 0. Let d = -9701\/7 + t. Calculate the common denominator of 29\/4 and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39704104?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 - ((-65)\/4 - -1)\/((-129)\/(-516)). Sort -5, -1, l, -2, 1.\nAnswer: -5, -2, -1, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2270*k + 2269*k - 2 + 2307*k + 2 - 6848*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 6, 5, 964, 0.2, -0.039?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + -48 + 11\/2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 5*d - 12 = 0, -3*d - 1 = -7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50787 - 29464. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkbb when four letters picked without replacement from {b: 7, k: 12}.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5527, 5539, 5581, 5671, 5827, 6067, 6409?\n\"Answer: 3*a**3 - 3*a**2 + 5527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1216) + sqrt(1216) + sqrt(19))*-4.\nAnswer: -68*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -18966 - -9\nAnswer: -18957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(9\/(-21) + 162\/(-63)). Solve -6 = 4*j - w - w, -2*j + z = 5*w for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1868)\/20 - (-3)\/(-5). Let q = i + 471\/5. Solve -8\/5*v**3 + q + 0*v - 3\/5*v**4 - 6\/5*v**2 = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (2\/5)\/(6\/570)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-4) + 78\/24 + -3\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j + 23*j - 5522 = -3*p, -3*p = 3*j - 5508. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7625\/11 + -693. What is d in -y*d**4 + 8\/11*d**3 + 4\/11*d - 10\/11*d**2 + 0 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j - 1. Let x(a) = -77*a - 6. Give -4*k(t) + x(t).\nAnswer: -73*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 660 - 330 + 2*o**3 - 29*o - 273*o**2 - 330.\nAnswer: 2*o**3 - 273*o**2 - 29*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dv when two letters picked without replacement from ejvjjkd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -61 (b) 7\/4 (c) 3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -266440329*v**2\/2 + 946734*v - 1682.\nAnswer: -(16323*v - 58)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 - 1038*x**2 - 170911*x + 2395068.\nAnswer: (x - 1181)*(x - 13)*(x + 156)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 6*z**2 - 4*z + 1. Let o be b(5). Find the first derivative of -o + 1 + 2*n + 2 wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -97451748*i. Let o(x) = -2*x. Give n(o(k)).\nAnswer: 194903496*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 134489551481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 greater than -0.014?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 17.51 times -128\nAnswer: -2241.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(3*r + r - 2*r) + (0 + 1 + 1)*(-2*r + 10*r + 2*r).\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.062514 rounded to four decimal places?\nAnswer: -0.0625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 4*z - 116, -n + 2*z = -5*n + 192. Suppose 0*k = 5*k + 5*d - n, 5*k - 30 = -d. Suppose -u - 8 = -k*u. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 266, 209, 108, -61, -322, -699, -1216?\n\"Answer: -4*h**3 + 2*h**2 - 35*h + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 42682331 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -125 * -5\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 766037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 45 = -5*q, 16 + 2 = -q + 2*c. What is the nearest to q in 0.08, 2\/7, 0.1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 0.12 (b) 0.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 28 - 0. Suppose 3*a + 28 = 2*m + l*a, -5*m + 4*a = 0. Solve w = -f, 4*f - f = -2*w + m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h + 639 = 40*h + 879 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/123385 and 17\/645.\nAnswer: 15916665","meta":{"dup_signals":{},"source":"numbers__lcm_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: Is 4577225141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3\/5, -1\/3, -3.25, -4 in descending order.\nAnswer: -1\/3, -3\/5, -2, -3.25, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a + 2. Let o be m(3). Let v be 90\/4 - o\/8. Calculate the greatest common divisor of v and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 50, 9880 in ascending order.\nAnswer: 0, 1, 50, 9880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 6 = 5*n + 4*x, -3 = -2*n - x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -2, -3, 4 in ascending order.\nAnswer: -3, -2, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 4:17 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31870 is divided by 31731.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 158652?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58842 and 395082?\nAnswer: 2765574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a94 + 6658?\nAnswer: 5674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5362010.958996 from -3.\nAnswer: -5362013.958996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-3))\/((-92)\/((-6348)\/(-69)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 312*d**2 + 31*d + 101. What is i(-2)?\nAnswer: 1287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-21))\/(5 - 194\/39)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077 a factor of 1766280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3721 - 1430. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*d**5 + 7*d**4 + 2*d - 84 wrt d?\nAnswer: -260*d**3 + 84*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 697837 is divided by 231?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 22*22*(-3)\/(-1089)*12*(-18)\/(-48)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/2)\/((-3)\/6). Let l = -27 - -27.0214. Let z = -0.9786 - l. What is the nearest to 0.1 in b, 0.3, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2.4 (b) -0.11 (c) 5 (d) 2\/7 (e) -3 (f) 1\/119\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-4))\/((-189)\/72) + 4\/(-14). Solve -41*n - 45 - 78 = x for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 32\/(-6)*(-6)\/(-4). Let j(a) = a**2 - 6*a + 6. Let t be j(4). Let n be t\/(-4) + (-4)\/m. Solve -4*c = -3*g + n, c = -0*c + 5*g + 21 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -628*q - 3840 = -318*q - 320*q. Calculate the smallest common multiple of q and 48.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267825756 a multiple of 278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-19) + (-232)\/(-38). Solve k = -d*g + 2*g + 25, 4*k = 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8267282.\nAnswer: 2, 4133641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -192*y**2 + 8. Let u(v) = -195*v**2 + 7. What is -6*f(d) + 7*u(d)?\nAnswer: -213*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -2. Suppose 5 = 2*l - 5*w, -2*l = -w - z - 4. Suppose 4 = -l*u - 11. Which is the closest to 0? (a) 1\/4 (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 47*m**3 + 2443*m**2 - 39*m + 54. Calculate w(-52).\nAnswer: -622","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -0.1 (c) 5 (d) 1457282\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.96 - -0.04. Let q = -2 + w. Let t = -15 + 59\/4. Which is the nearest to t? (a) -3\/4 (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -748, 0.4, 1849\/5?\nAnswer: 1849\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62 + 67. Suppose -v + 12 = m. Calculate the remainder when 26 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 14 = -4*p + 5*w, -20 = 4*p + w. Let c = p + 10. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -477*d**4 + 3381*d**2 + 301640727.\nAnswer: -1908*d**3 + 6762*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d + 19. Let a = -15 + 69. Calculate the remainder when a is divided by j(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 9:21 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a056 - 1?\nAnswer: a055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38880 divided by -6.\nAnswer: -6480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4451 - -4?\nAnswer: -4445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 263.2652 litres?\nAnswer: 263265.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.14 - 0.14. Let z = b + -5. Let q = -4 + -1. What is the smallest value in z, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 8*q**2 - 64*q - 10237. Calculate p(-32).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -n - 0 - 28, 2*n - 32 = 3*p. Let j be p\/(-10)*5\/2. Let a(h) = -5*h**2 - 64*h + 17. Let x be a(-13). Solve 5*z = -4*d + 8, j*d = x*d + z + 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -294266, -294265, -294264, -294263?\nAnswer: -294262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 2. Suppose -s*k - 2 + 8 = 0. Put -3, k, 2 in ascending order.\nAnswer: -3, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11, -56, -133, -242, -383, -556, -761?\n\"Answer: -16*t**2 + 3*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -466*n**3 + 89449*n**2 + 43*n + 1519339?\nAnswer: -2796*n + 178898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = 2*d. Suppose 2*t = d - 10. Let i = -466.5 + 466.4. What is the nearest to i in 22\/5, t, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -3. Suppose 2 = -j*s + 14. Let g be ((-3)\/(-2))\/(s\/8). Do g and 11\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761 a factor of 2782194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 97\/255 - -137\/340. What is the common denominator of -29\/48 and s?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 + -75 - (-16 - 12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.232 + -0.2067. What is f rounded to 2 decimal places?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 6*m + 5. Let g be i(6). Let l = -113645\/9 + 12627. Which is the smallest value? (a) g (b) l (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/555? (a) -0.31 (b) -4 (c) 2 (d) 3 (e) -5 (f) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 3)*(0 - 2 + 3) + 8 - 45 + 3)*(1 - 1 - 1)*(x - x + 15*x).\nAnswer: 495*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/2 - -2)*-51. Let r = z + 203\/4. Let v = -0.27 + -0.03. Which is smaller: r or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/620 and 27\/1940.\nAnswer: 60140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/8, 1, 14, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*l - 0*l. Suppose -j = -l*j. Solve j = -2*p + 3 + 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31380 divided by 1046.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 13) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 22*s + 32. Let k be x(17). Which is smaller: -54 or k?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 - 11 + 0*l - 10 + 6*l + 3*l**4 to the form x*l**2 + b + k*l**3 + z*l**4 + o*l and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6916 + -3557. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2 + 0 + 2*sqrt(7) + -3 + -2*(sqrt(112) + (-2*sqrt(112) - sqrt(112)))*2)**2.\nAnswer: -68*sqrt(7) + 8097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - f - 43 = 0, 0 = -9*s - 0*f - f + 46857 - 46932 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-3)*(-1*(-84)\/(-21))\/4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1323) + 4)*-3)**2.\nAnswer: 1512*sqrt(3) + 12051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 5*u = -5*z + 4, u + 4 = 3*z. Solve 3*l - s = -3, -3*l - 12 = -u*l - 4*s for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 12, s: 2, x: 3}. Give prob of picking 1 w and 2 x.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 17*a - 8. What is l(-8)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -158 + 157.83. Round n to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 208, 219, 232, 247, 264, 283?\n\"Answer: k**2 + 8*k + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 50\/(-24) + (-35)\/(-420). Let d(a) = -7*a**2 - 2*a + 1. Give d(n).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 times -19?\nAnswer: -4275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 2*p**7\/21 + 2*p**3\/3 - 2*p - 4. Let l(o) be the first derivative of r(o). What is the second derivative of l(x) wrt x?\nAnswer: 80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**4 - 6*o**4 - 22*o**4)*(-2*o + o + 2*o)*(-4 + 0 + 25).\nAnswer: -483*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*w + 287 + 259. What is the greatest common factor of 42 and w?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5 + 23 + 3 - k**2 + 10*k. What are the prime factors of x(11)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**5\/30 + 2*r**3 + 8*r. Let i(n) be the second derivative of a(n). Let y(v) = -3*v. Calculate y(i(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -9*43\/(645\/(-3380)).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -335730, -671459, -1007188, -1342917?\n\"Answer: -335729*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -12362871 less than -24725739\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60*a**4 - 6*a**5 - 58*a**4 + 118*a**4 - 9*a wrt a.\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 20*s**2 - 5*s + 41. Give b(20).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1466 - 1452. Solve 0 = i + 2*v + 3, 4*i = -y*v + 18*v + 12 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1294306359 to the nearest integer?\nAnswer: 35976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 5. Let r be b\/(-3 + (3 - 1)). Solve r*d + 8 = -2*o, -d + 3*o = 1 - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24926 and 6050.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22540 - 22541. Are -4\/2207 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 1146*w - 13758. Give p(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*q - 29. Is 2 a factor of (q\/(-8))\/((-7)\/28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2467873 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: How many minutes are there between 2:57 AM and 7:34 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12 + -14 - (-22)\/10. Let c(l) be the first derivative of -2 + w*l**6 + 0*l**2 + 0*l - 3\/10*l**4 + 2\/15*l**3 - 2\/25*l**5. Let c(u) = 0. Calculate u.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542 is divided by 184.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3223.444682 from 562.\nAnswer: -2661.444682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001848 to seven decimal places.\nAnswer: 0.0000185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7237250?\nAnswer: 2, 5, 28949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 99, 265, 497, 795, 1159?\n\"Answer: 33*m**2 + 67*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 + -11130425?\nAnswer: -11130400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2063*h**2 + 2148*h**2 - 2964*h**2 + (2*h**2 + 2*h - 2*h)*(-2 + 2 + 2) - 3*h**2 + h**2 + h**2 + 2*h**2 - 2 + 2.\nAnswer: 1252*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 10*j + 19. Let t be 19\/2 + (-4)\/8. Let z be i(t). Solve -z = 4*a - 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-66)\/68*-4 - 21*(-120)\/21420. Solve -13*k - x*k = -0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2122*c**3 + 2135*c**2 - c + 19785760?\nAnswer: 6366*c**2 + 4270*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (156\/(-225))\/(1266\/1055) and 65\/(-18) + (1 - 1).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 - -106. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, p: 1, g: 1, a: 1, f: 1}. Give prob of sequence gp.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**4 + 22*r**3 + 73*r**2 + 12*r - 108 = 0. What is r?\nAnswer: -18, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 79 = 5*b - 79, 4*h + 4*b - 304 = 0. Let z be 6\/9 + 538\/3. Let q = z - h. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1454 - 1334. Calculate the remainder when 711 is divided by x.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-22) - (-399)\/77. Suppose 3*l - 66 - 42 = 3*c, -o*c = -4*l + 148. Suppose 0 = -2*w + 10, -2*v = -3*v + w + l. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7987\/(-1141))\/((-2)\/2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 459052005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z + 8*z - 4 = -k, -3*k = -z - 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-738*n - 181*n + 133*n)*(3*n**2 - 3*n**2 + n**2).\nAnswer: -786*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10545499795 divided by 5\nAnswer: 2109099959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 30*m - 35. Let d(c) = -c**2 + 14*c + 38. Let r be ((-8)\/5)\/(4\/(-40)). Let p be d(r). Is x(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40399 or -40059?\nAnswer: -40399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1207?\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 78*h**3 - 5*h**2 - 37*h**3 - 39*h**3 - 16 + (-4*h**2 + 6*h**2 + 0*h**2)*(h + 2*h - 4*h) - 2 + 2 + h**3 to j + y*h**3 + v*h**2 + z*h and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1654)\/70295 - 836\/(-21080).\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, u: 5, m: 1}. Give prob of picking 2 u and 1 m.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 13, -1, -2\/11, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 2*m + 5. What are the prime factors of a(-4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6305.\nAnswer: 5, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.12 - -0.28. Let f = 0.08 + 0.22. Let m = -0.1 - -3.1. Sort k, m, f in decreasing order.\nAnswer: m, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145302, 145324, 145362, 145416, 145486, 145572, 145674?\nAnswer: 145792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 6*n - 4*n + 14, -4*v = n + 19. Let u = 6 + v. Which is greater: u or -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11 (b) 2330 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 686, 669, 634, 575, 486, 361, 194?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1571 is divided by 422.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g + 6. Give k(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 0.07, 2, 79044 in ascending order.\nAnswer: 0.07, 2\/21, 2, 79044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a hour in minutes?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 8*y**2 - 4*y + 8. Let r be 4\/(15\/6 - 2). Calculate p(r).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77592.\nAnswer: 2, 3, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 165830736 to the power of 1\/2, to the nearest integer?\nAnswer: 12878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 12*l - 58. Let q be a(5). What is the highest common divisor of 28 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -101*a**2 - 4*a + 4*a + 102*a**2. Let q(k) = 2*k - 3*k + 1 - 2. Let r(u) = -u - 2. Let l(z) = 2*q(z) - r(z). What is l(m(o))?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 - 5*y**2 + 20*y + 20.\nAnswer: -5*(y - 2)*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-3)*(-3)\/(-1). Let p(k) = 2*k + 42. Let x be p(-16). Suppose 21*b - 55 = x*b. Solve -b*r + v = -4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 bigger than 5252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 + 0.0859?\nAnswer: 0.0259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 7, 9, 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s**3 - 75*s**2 + 15*s - 60. Give h(-19).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -125*l**2. Let n(f) be the first derivative of 5*f**2\/2 - 294. Calculate m(n(p)).\nAnswer: -3125*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27\/4 in -123, -3, -1, -2\/13, -4\/5, -36?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-3 + sqrt(65)\/sqrt(5)*-6 + sqrt(13) - sqrt(143)\/((sqrt(1100) + 2*sqrt(1100) - sqrt(11)) + sqrt(11))) + 0) + 2)**2.\nAnswer: 1208*sqrt(13) + 306413\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -51*w**2\/2 + 82. Let l(h) = -h**2 + 2*h. Let q(o) = -6*o**2 + 13*o. Let v(z) = 39*l(z) - 6*q(z). What is v(x(t))?\nAnswer: -7803*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-4) + (-1)\/(-2). Let y = z + 6. Let p(h) = h - 2. Let m be p(y). Solve 0 = d + m*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**7\/630 + 5*g**6\/18 - 433*g**5\/30 + 1225*g**4\/18 - 2401*g**3\/18 + 272*g**2 + 1. Find k such that q(k) = 0.\nAnswer: 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1620 - 1649. Let a(j) = j + 52. Calculate a(b).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**6\/420 + y**4\/84 + y**2 + 2*y. Let l(k) be the first derivative of s(k). Factor l(o).\nAnswer: -2*o*(o - 1)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2. Let y be t(-2). Suppose -3*s - 3 = -3*c + 30, -2*c + 4*s + 14 = 0. Solve -c = -h - y*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten thirds of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -55*g + 54*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*k**4*m**2 - 9*k**4 + 2*k**3*m - 8*k**2*m**2 + 5*m**2 wrt k.\nAnswer: -96*k*m**2 - 216*k + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npeeznzeezznnnnnen. What is prob of picking 1 z, 1 e, and 1 p?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -22387.37 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q + 55. Let z be j(-25). Let w(v) = -v**2 + 4*v + 1. Let r be w(z). What is the nearest to 2\/3 in r, -1\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -378 (b) -7 (c) 4 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 736617 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {m: 16, g: 4}.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -31 + -fee?\nAnswer: -101f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 513, 1993, 4459, 7911, 12349?\nAnswer: 17773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72657494 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 143*b + 44. Let n(k) = -16*k - 5. Suppose 87956*f - 87937*f - 836 = 0. Let r be 10\/(-3)*(-6)\/4. Determine f*n(s) + r*o(s).\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5210901?\nAnswer: 3, 167, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, 119, -51, -1\/3, 2, 0.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + -110222101?\nAnswer: -110222122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2904687?\nAnswer: 3, 107581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 4*p - p)*(8*p**2 + 39*p**2 + 12*p**2)*(0*p**2 - p**2 - p**2)*(12 + 15 - 6).\nAnswer: -4956*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1105006587 + 2?\nAnswer: -1105006585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20038 and -0.4?\nAnswer: 8015.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 126915509341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3734\/3 - 41068\/33. Which is the fourth smallest value? (a) -0.04 (b) -7 (c) j (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (-50)\/20 + 2. What is the nearest to -2 in g, 5, 3, -18?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 + -15. Is f a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 4. Let p = 9 - g. Suppose 59 - 7 = 4*j + p*q, j + 12 = 4*q. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 50, -0.8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 1 = -5. Suppose -v*t + 4 = -128. Is 15 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53.9*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1294 - 17.\nAnswer: -17.1294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*2*(-1)\/732. Let g = -559\/915 - k. Let d = -8 - -5. Which is the third smallest value? (a) g (b) d (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 - 82324*s**3 - 2*s**2 + 41161*s**3 + 41164*s**3 + 2*s**4 in the form i*s**4 + x + u*s + a*s**2 + f*s**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20 + 20 - 15*m + (1 - 4 + 1)*(4 - m - 4 + (3 - 4 + 2)*(-2*m + 3*m + 0*m) - 1 + 1 + m) + (0 + m + 2 + 2)*(-1 + 0 + 3).\nAnswer: -15*m + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8429*z - 266386 = 4004*z - 1535*z + 659944 for z.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 1945, 271?\nAnswer: 271","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -15) + (4 - 3 - 6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -71*l**7\/105 + 77*l**4\/2 + 1003*l**2. What is the second derivative of p(i) wrt i?\nAnswer: -1704*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -1, -2\/13, 1.7, -4, -217 in increasing order.\nAnswer: -217, -4, -1, -2\/5, -2\/13, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - c + 19, j + 68 = -45*c + 51*c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 821323185 to the nearest integer?\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 683 - 345. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -5. Suppose 5*t = 2*v + 17, -5*t - 46*v + 21 = -47*v. Solve -t*y = -q - 17 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*r + 18. Let j be 4\/6 - 6\/9. Let z be j\/(-2) - (-2 - 5). Solve r*t - z = k, 4*t + 4 = -2*k + 30 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(35\/(-25) + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 445, 888, 1329, 1768, 2205, 2640, 3073?\nAnswer: 3504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32.6741 - 14.3322. Let a = 8.3402 - j. Let x = 10 + a. Round x to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m**(-16))*m)\/m*m*m)**(-28))**(-6\/29) assuming m is positive.\nAnswer: m**(3024\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3 + r**3 - 6 - 3*r**2 + 4*r**2 - 6*r + 3*r**2. Let a be p(-5). List the prime factors of 119\/((0\/2)\/a + 1).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 202, 291, 374?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 2*o - 107. Is 20 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**3 - 237*n - 16 - 70*n**2 + 76*n**2 + 249*n = 0. What is n?\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 35*q**4\/12 + q**3\/3 - q**2 + 7839*q. Give m(-2).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3047773, -3047831, -3047893, -3047959, -3048029?\nAnswer: -3048103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, s: 16}. Give prob of sequence mms.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - w - 1. Let i(l) = 3*l**2 - 12 + l**2 + l**2 - 12*l. Let c(v) = -i(v) + 6*j(v). Let s be (3\/((-6)\/20))\/2. Give c(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -10 - (-65 + 64)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 5, 3 in descending order.\nAnswer: 5, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -130 + 36378242*x**3 - 36378242*x**3 + 2190*x**4 + 1105 wrt x.\nAnswer: 8760*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h + 0 + 0)*(-20900 - 25204 + 40945) to the form l + i*h and give i.\nAnswer: -20636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 21 = 2*n, -n + f = 2*n + 44. Let b = 10 + n. Let a be (-1)\/(b\/21 - 0). Calculate the greatest common divisor of 35 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Suppose -2*b - 4 = r*b. What is the units digit of (-22)\/(-3 - b) - 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*l**4 + (3 - 2*l - 3)*(-4*l**2 + 2*l**3 + 4*l**2) - l**4 - 3*l**4 + 3*l**4 + (-23855*l + 156*l**3 + 23855*l)*(2*l + 4 - 4).\nAnswer: 309*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-14)\/w)**(-1\/2)*w**(-7\/5)\/w*w\/w**12 assuming w is positive.\nAnswer: w**(-59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3\/59, -17 in decreasing order.\nAnswer: 5, 3\/59, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66519 = -530*n - 114749 for n.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**2 + 3*n - 4. Let l be g(-4). What is the highest common factor of l and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1864578418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*-7645.\nAnswer: 122320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95 + -585. Let s = -331 - w. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/7 - 884*g\/7 - 97682\/7.\nAnswer: -2*(g + 221)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -10. Let m be (l\/(-56))\/(4\/7). Let z = 633\/5 - 127. Put 2\/7, z, m in ascending order.\nAnswer: z, 2\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.6 + -3. Let y = 0.077 - -1.923. What is the smallest value in -2, y, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -311.945544 and 29?\nAnswer: 340.945544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/30*(2576\/84 + -40)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgifgffllbglggf. Give prob of picking 1 f and 1 l.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/(sqrt(12) - (sqrt(144) - (2*sqrt(144) - sqrt(144)))\/sqrt(12)))\/(sqrt(432) + sqrt(432) + -1*sqrt(432)*4 - sqrt(432) - sqrt(432))*2.\nAnswer: -sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.15? (a) -10 (b) -0.4 (c) 0.4 (d) 0 (e) 5 (f) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3413727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -652 + 142 - 408 - 2*a**3 + 4*a**3 + a**2 - 94 as h + s*a**3 + b*a + f*a**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (59 - 3) + -19 + -5\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, i: 4, m: 2}. What is prob of sequence immc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136\/408*615\/(-5).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57111 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 0*h + 1\/2*h**2 - 59. Let c(p) be the third derivative of -p**4\/8 + p**3\/6 - 9*p**2. What is c(v(t))?\nAnswer: -3*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 745619558*c**2 + 1321*c - 78101?\nAnswer: 1491239116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 7*g**2 - g - 3. Let d be h(-7). Suppose 45 = d*z - 67. Is (-80)\/z*7\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - x**2 + 3138*x - 88557. Calculate o(24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53*c*m*n*v**3 + 2*c*m*n*v + 3*c*m*v - 2*c*n*v**3 + m*v**3 - 44*m*v**2 + n*v wrt v?\nAnswer: 318*c*m*n - 12*c*n + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 6*o - 55 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1068 - -1073. Let y(j) = j**3 - 7*j**2 + 6*j - 4. Give y(n).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 322810 (base 10) to base 15\nAnswer: 659aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/765995 and 133\/96150?\nAnswer: 22979850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19678557 to the nearest integer?\nAnswer: 4436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/30141 and 47\/13396.\nAnswer: 120564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2473.4 + 2478.4. Put -353, t, -5 in increasing order.\nAnswer: -353, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011326 rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, -0.026, 6, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of g**4 - 7*g**3\/3 + g**2 + 15*g - 55. Is 61 a factor of j(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o - 289899. Let s(b) = -6*b. Calculate s(t(k)).\nAnswer: 18*k + 1739394","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193405 is divided by 383?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5012 by -828.\nAnswer: 1253\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 87735 + 312?\nAnswer: 88147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 5) + (12\/3 - 2). What are the prime factors of (-5565)\/(-42) + ((-1)\/2 - t)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (36\/60)\/((-5)\/(27 + -2)). What are the prime factors of (i\/4)\/(66\/(-264))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3751 - 3738. Solve -q + 2*q + 4*n + 19 = 0, q + 3*n = -s for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2221332211 + 10?\nAnswer: 2221332221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17864 divided by 11.\nAnswer: -1624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10260 and 2660?\nAnswer: 71820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -127, -234, -433, -754, -1227, -1882, -2749?\nAnswer: -3858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -57.7 (b) 5 (c) -5 (d) 124\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 1.142, -1\/193, 1, -0.7 in descending order.\nAnswer: 1.142, 1, 2\/11, -1\/193, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3.5 + 573883056705\nAnswer: 573883056708.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 455 and 5?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -123 + 122.9. Let s = -4 + 1. Let y = 7 + s. Which is the smallest value? (a) 0.1 (b) n (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -19999*q**4\/24 - 3*q**3\/2 + q**2. Let s be c(9). What is s rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d**2 + 10*d - 287*d**3 - 2 - 4*d + 289*d**3 as p*d + h*d**2 + v + a*d**3 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gx when two letters picked without replacement from {x: 6, b: 3, h: 1, g: 3}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.3007 + -2.1007. What is the closest to 1 in 1\/18, 3, -0.2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**3\/11 - 1205752*m**2\/11 + 4823032*m\/11 - 4823040\/11 = 0. What is m?\nAnswer: -602880, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*o**2 + 30*o**2 - 2 + 14*o**2.\nAnswer: 70*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252 divided by -12.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.2292 * -206\nAnswer: 47.2152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7 - (-71916)\/2160*(6\/28)\/(-1) and 155\/1008?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 20*x - 10. Is 10 a factor of d(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1606807.\nAnswer: 401, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 244512517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 2:23 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3012802542 + -104\nAnswer: 3012802438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 - 2*a**2 - 1 - 56*a + 54*a + 3*a**4 in the form f*a + y + d*a**4 + m*a**2 + z*a**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -4, -0.4, 2\/17, -0.27, 61?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88 + 138 - 126)*(1 + 0 + 0)*(-3*j**2 + 4*j**2 + j**2)*(0*j + 3*j - 2*j).\nAnswer: 200*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/296 and 37\/3.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, r: 1, k: 2}. Give prob of picking 2 k.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006513 rounded to 6 dps?\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2410\/3*w**2 + 8665\/3*w + 5*w**3 + 1570 = 0 for w.\nAnswer: -157, -3, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226413124.\nAnswer: 2, 7, 1155169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (195\/75)\/(21\/(-105)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 551.5633 meters?\nAnswer: 0.5515633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*t + 79005 = -182*t. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 8:30 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 26 = 2*i, -4*i + 212 = 41*w + 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(40\/(-27210)))\/(72\/1714). Let f = a - -32382. Find the common denominator of 39\/14 and f.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101971121?\nAnswer: 7, 23, 31, 20431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-1\/15))**(-2\/19))**(-3))**(2\/7) assuming r is positive.\nAnswer: r**(-4\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (34\/10 + -3)\/((-7)\/(-70)). Suppose g + 2 = -u*t + 3, 0 = 3*g + t - 14. Solve g*h - 2*m = -22, h - m + 9 = 4*m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*d - 38*d - 16. Suppose -4*c = -7*c - 2*u - d, -u = c + 1. Let s(x) = -x - 6. Determine s(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h = -271 + 31. Let f(q) = q**3 - 4*q**2 - 60*q - 2. List the prime factors of f(h).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22207333?\nAnswer: 19, 109, 10723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92573\/6 + -15429. Which is the third smallest value? (a) 0.4 (b) -3 (c) -121 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -54*u**4 + 44*u**4 + 3*u**4 + 6 + (-36 - 34*u + 36)*(0 - 2*u**3 + 0).\nAnswer: 61*u**4 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87 - 77. Suppose 5*u - 4*l + 19 = -6, 2*u + l + o = 0. Put -3, 4, 3, u in decreasing order.\nAnswer: 4, 3, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.7053 to zero decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x**2 - 6*x + 6. Let p(r) be the third derivative of -11\/24*r**4 + 25*r**2 + 0 + 0*r + 11\/6*r**3 - 1\/6*r**5. What is 11*o(u) - 6*p(u)?\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6053.609579 rounded to the nearest 10?\nAnswer: 6050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.12 (b) 0 (c) 637\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.07, 0, -14, 15\/83, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 106844111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 322 - 290. Suppose 0 = 4*w - 2*w - 64. Calculate the greatest common divisor of w and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/26 (b) 0.22 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -73*n + 3. What is o(1)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 - 246 + 719 - 473.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-4 - -3) + 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -153*d**2 - 163*d.\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*i - 0*i. Suppose i = 5*a + 15. Let j = a - -2. Which is bigger: 3\/7 or j?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*k - 399726 = 86310. What are the prime factors of k?\nAnswer: 23, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12301 - 3?\nAnswer: 12232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -43146 (base 8) in base 5?\nAnswer: -1034042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 5*h. Let t = 34 + -32. Let z(c) = -4*c**t + c**2 + 2*c**2 + 6*c. Determine 7*m(q) - 6*z(q).\nAnswer: -q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -i - 4*w, -3*i - 4*w = -30 + 29 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 266843276?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7*t**2 + 10*t - 1. Let c(z) = -8*z**2 - 12*z + 3. Let g(j) = -2*c(j) - 3*y(j). Let w(r) = -4*r**2 - 5*r - 2. Give 3*g(v) - 4*w(v).\nAnswer: v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*j = -f, 2*f + 3*j = 0. Factor 1\/3*u - 2\/3*u**2 + f + 1\/3*u**3.\nAnswer: u*(u - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 57293406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17426\/43 + 2436662\/5977. Which is smaller: z or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1630729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**4\/4 + 57*p**3\/2 - 812*p**2 - 57*p\/2 + 3249\/4 = 0.\nAnswer: -1, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10 - -12)\/1 + (-4)\/3. Which is the fifth smallest value? (a) q (b) 2\/7 (c) -5 (d) -6\/13 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -363.1, -6, 0, 1, -2\/7, -1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1322 divided by -20133.\nAnswer: 1322\/20133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 90268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29450328?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 981*w**4\/4 + 5*w**2\/2 - 5*w + 1857. What is the second derivative of o(l) wrt l?\nAnswer: 5886*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3 + sqrt(17) + sqrt(17)) - (sqrt(1700) + sqrt(17))*3 - (-5*sqrt(612) - sqrt(612)*-1))**2.\nAnswer: 24*sqrt(17) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5829 is divided by 5823?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*o + 16, 5*o - 4*i - 13 = -i. Suppose 0 = 2*s, 4*s - s = 2*b + 4. Let h = 3 - b. Solve 2*x = 5*t + 3, o = -5*t + h*x - 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-3 + ((-6)\/3)\/1). Suppose 2*y = r*y + 3*w - 68, 2*y - 72 = -4*w. Let u(c) = -y*c - 19*c - 12 + 48*c. What is u(9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2756 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: 150 (base 10) to base 3\nAnswer: 12120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -f + 6, -4*f + 2*g + 25 = -9. Suppose -9*t = -f*t - 73000. Round t to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 39*d**2 + 2900*d - 4. Let z(i) = -9*i**2 + i + 1. Let k(p) = q(p) + 4*z(p). Let k(v) = 0. Calculate v.\nAnswer: -968, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -347, -282, -173, -20, 177, 418, 703?\n\"Answer: 22*h**2 - h - 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 5*b**2 - 8*b - 14. Calculate z(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -0.3885099?\nAnswer: 1.1655297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - c**2 + 1. Suppose 4*v + 8 = -3*d, -7 = -d - 5*v - 17. Let a be s(d). Sort -0.5, -2, a in ascending order.\nAnswer: -2, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 16. Let y be t(-8). Suppose a + y = p, 0 = 4*p - 4*a + 2*a - 22. Calculate the remainder when 24 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 5:35 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -408, 1, 1239, -4 in decreasing order.\nAnswer: 1239, 1, -1, -2, -4, -408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 + 9*k + 7. Let b(x) be the first derivative of x**3\/3 + 2*x**2 + 3*x - 165. Suppose 0 = 2*q - 5*q - 12. Give q*i(w) + 9*b(w).\nAnswer: w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-72)*(3 - -1). What is the nearest to o in -3, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9 - 0.1. What is the third smallest value in y, 0, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p - 4. Let j be a(0). Let l be 2\/j - (-244)\/(-8). Is 2 + (-3 + 1 - l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a decade in years?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*l + 5*z, -l + 11*z - 6 = 8*z. Suppose c = -3*p + 165097, l*p = -5*c + 7*p + 825504. What is c rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -52. Is 23 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -2 (b) -4051\/36 (c) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -3856?\nAnswer: -3853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3359*n**3 + 3268*n**3 - 7829*n**3 + (-4*n**2 + n**2 + 5*n**2)*(n + n + 0*n).\nAnswer: -1198*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*x + 6, -a + 0*a = 5*x - 8. Let c(p) = 2*p**2 + 4*p - 12. Let b be c(-13). Suppose 3*u - 3*l - 423 = 0, 2*u - x*l - b = 2*l. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64510916 divided by -32255458\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 360 and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 100915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 12*f**2 + 10*f - 8. Let y be n(-11). Sort y, -1, -2 in decreasing order.\nAnswer: y, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/223 - -674\/1115. Let b = -513 + 512. Put b, -0.5, h, -0.8 in ascending order.\nAnswer: b, -0.8, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**3 + 295*d**2 - 11805*d + 32625 = 0. What is d?\nAnswer: -87, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 973.0245 millimeters to meters.\nAnswer: 0.9730245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*j*m*x - 3*j*m + 3*m*x - 24*x with respect to j.\nAnswer: 31*m*x - 3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -418*v**2\/3 + 610*v - 1988\/3.\nAnswer: -2*(v - 2)*(209*v - 497)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 2*b**2 + 3*b + 1. Let g be i(-3). Let v(c) = -61*c - 64. Let r be v(-1). Let j = -16 + 18. Sort j, g, r.\nAnswer: r, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + c = 0, -b = -0*c + 4*c + 19. Let a be b + -4 + 5 + 5. Suppose a*w = 14*w - 1960. What are the prime factors of w?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 73 - 3 - -11?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, c: 2}. Give prob of sequence kk.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -194 (base 14) to base 3.\nAnswer: -110002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 2*k**2 - 6. Suppose 0 = -2*q - q + 9. Let g(c) = 6 - q - 3 + 6*c. Determine g(f(n)).\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(441)\/(-3*sqrt(1089)))\/(sqrt(252) + -2*sqrt(252) - sqrt(252) - (sqrt(7)*-2*1 + sqrt(7))))**2.\nAnswer: 7\/131769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104181, -208360, -312539, -416718, -520897?\nAnswer: -625076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**35*(l*l\/l**(1\/7))\/l**(1\/5) assuming l is positive.\nAnswer: l**(-1167\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 8*q**6\/15 - 19*q**4\/12 + 6*q. What is the third derivative of y(h) wrt h?\nAnswer: 384*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uussjkuyju. What is prob of sequence ky?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**3\/2 + 2*s**2 - 15*s. Let c be f(-2). Let h(k) = 4*k - 2. Calculate h(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**3*j*j*j*j)\/(j*j\/(j\/(j*j\/(j\/((j\/(j\/((j\/((j*j**(-6\/7))\/j))\/j)))\/j)*j))))*(j**(2\/5)\/j*j)**12*(((j\/j**0)\/j)**(13\/6))**(1\/9) assuming j is positive.\nAnswer: j**(418\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 19*o + 7 + 18*o + 10.\nAnswer: -o + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 3*z**2 - z + 7. Let c be y(3). Let b be (-8)\/12 + 24\/9. Let n = 8 + 9. Put n, c, b in descending order.\nAnswer: n, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 399573852 divided by -3.\nAnswer: -133191284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 9:09 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -317 + 46 + 3*(-2 - -4). Let h = k + 133. Is h <= -132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - ((5 - -5) + -8) - (8 - (4 + 3))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v + 12. Let h(l) = l**2 + 17*l - 158. Let m be h(7). Calculate a(m).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**4 - 14517*m**3 + 55352717*m**2 - 47353000779*m + 47297662580 = 0.\nAnswer: -17780, 1, 1631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 86745110.34752 and 148.\nAnswer: 86745258.34752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -268 - -300. What are the prime factors of (3720\/i)\/((-6)\/(-16))?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*(-3 + -4*-3*sqrt(605) + sqrt(605)*1*6))**2*-5.\nAnswer: -980150 + 5940*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 631*x**3 - 598*x**3.\nAnswer: 33*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2. Let m(g) = -20292*g**2 + 3*g - 3*g + 21358*g**2. What is m(n(z))?\nAnswer: 9594*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5348350 and 433650.\nAnswer: 16045050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (sqrt(18) + 2))**2 + (sqrt(2) + sqrt(8)\/sqrt(4)*-1)**2 + (sqrt(2) + 1)*5 + (-1 + sqrt(288))**2 + -1.\nAnswer: -19*sqrt(2) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58 + 60. Suppose 2*m + h + l = 11, -3*m + 4*h + 19 = 0. Solve 2*a = a + m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000081529 to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113126 is divided by 602?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 393 and 1945481?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1934172581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.4, -2\/35, -5 in decreasing order.\nAnswer: 4, 0.4, -2\/35, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.7767944 to 2 decimal places.\nAnswer: -2.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16 - 62) + 51 - (-26 - 3). Factor 14\/3*a**4 - t*a**5 + 2\/3*a**2 - 10\/3*a**3 + 0 + 0*a.\nAnswer: -2*a**2*(a - 1)**2*(3*a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 14*d**2 - 22*d + 32. Calculate the remainder when t(11) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 874, 1680, 2488, 3298, 4110?\n\"Answer: a**2 + 803*a + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/(1*sqrt(8)) - sqrt(19)) + (-1*sqrt(114))\/sqrt(6).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14448 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + -3)\/(1\/1). Let i be (2 - -1)\/((-6)\/o). Solve 0*v = -v - i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 0*2\/4. Let v be n + -1 + (3 - (-2)\/2). Solve 6*z**2 + z**3 - 9*z + v - 2*z**2 + z**2 - 2*z**2 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((4 + sqrt(539) + -4)**2 + 4 + -4*sqrt(539))*1.\nAnswer: -56*sqrt(11) + 1086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -391*g**3 + 43830 + 265*g**3 - 43830.\nAnswer: -126*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 - -100. Is 34 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/18 - 375\/(-135)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 241591834?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58325 is divided by 581.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 690\/12227 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/15 - (2548\/(-210) + 11).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5027 and 847?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -375 divided by 3.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 78, 5, -162504, 0 in decreasing order.\nAnswer: 78, 5, 0, -162504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*f + 27. Suppose -l = 2*a - 45, -3*a = -3 + f. Does 17 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*g**3 - 99*g**3 - 80*g**3.\nAnswer: -19*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - -1 - (-72 - -69)) + 25\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.046 and -52729109.\nAnswer: -52729109.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 4*i**3\/3 + 6564*i**2 + 10771524*i - 1653. What is j in z(j) = 0?\nAnswer: -1641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2338 + -0.266. Round k to three decimal places.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 5 = 5*q - 10*q, 4*u = -5*q - 30 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 353200 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33354 is divided by 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**2 + 1 + 1 - 2.\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46625 and 61918?\nAnswer: 7739750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 2*b + 3. Let a be -6 + 3\/(-6)*-8. Let h be t(a). Suppose 8 = 5*p - 7. Sort -3, p, h, 1 in decreasing order.\nAnswer: p, 1, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -13*z + 16*z - z - 2 - z**2 - z - 1. Let b = -177 - -184. Determine u(b).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, v: 2, j: 4}. Give prob of sequence vv.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k - 5446 = -19*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y - y - 292 = -2*a + 15*y, 5*y = 4*a - 241 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 719165000 to the nearest one million.\nAnswer: 719000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 - 3*l - 3. Calculate a(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1155 is divided by 100?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 5*l - 60 = 0, 40 = -4*d + l + 73 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 h, and 2 k when four letters picked without replacement from {w: 1, k: 3, h: 9, t: 6}?\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18b65 + -5?\nAnswer: 18b60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1a865a9 (base 11) to base 12\nAnswer: -1212059","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*l + 2*l + 2*l)*(1 + 6 + 1) in the form k + n*l and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10836105 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/27 - (2 - 1). Which is the closest to 2? (a) y (b) 0 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001311366741 rounded to 6 dps?\nAnswer: 0.000131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-15) + (-110)\/(-25). Suppose 0 = 5*q - c*t - 55, 5*t = -0*q - 5*q + 75. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/10 + (-33397)\/65. Let d = n + 517. What is the common denominator of d and -14\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/193 - 255\/5983. Which is bigger: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**3 - v**2. Let c be h(1). Let f be (3\/1 - c)*1. Solve f = -d - d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b**2. Let l = 2 - 0. Let p(n) = -6*n**2 + 3*n**l - 2 + 2. Give p(j(z)).\nAnswer: -27*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-257)\/3 + (-5)\/15)*-2. Suppose 4*b - t = 2*b. List the prime factors of b.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllzzlzll. What is prob of sequence lzzz?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = s - 0*s - 1, 4*s - 10 = -2*j. Let c be (s - (3 - 1))*37. Suppose -5*y + 23 + c = 0. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b237 (base 15) to base 3.\nAnswer: -11111001121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert ac945 (base 13) to base 14.\nAnswer: 823a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**4\/7 - 212*d**3\/7 + 1184*d**2\/7 + 1392*d\/7 = 0 for d.\nAnswer: -58, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (93852\/(-16) + 6)\/(18\/(-12)). Is t greater than or equal to 3907?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, t: 1, m: 1, z: 1}. Give prob of picking 1 m, 2 h, and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-2)\/3))\/((9\/60)\/((-1015)\/(-157325))).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -109*a**2*v**2 - 7*a**2*v - 1820*a*v**2 wrt a?\nAnswer: -218*v**2 - 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 - 2. Suppose 0*w + 5 = w. Suppose -5*n + w*g = -0*g + 10, -2*n = -g + 4. Determine v(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -16.2. What is the second smallest value in s, -2, -3, 0.03?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -u - 84. Is 3\/((-9)\/u) - 3 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -7\/4, -1, 18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 0. What is the common denominator of (-505)\/120*(g + -1) and 55\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-2*sqrt(65) + sqrt(65))\/((sqrt(15)*-2)\/sqrt(3)) + -6*(0 + sqrt(52)*1)**2)*4.\nAnswer: -1248 + 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -193, -4.\nAnswer: -193, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 4*k**5 - 36*k**4 - 400*k**3 - 768*k**2 = 0.\nAnswer: -4, -3, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*b - 3*b - 8. Let f be (-3 + 1)*(-3 + 1). Suppose -2*i - b = -f, -5*w = -5*i - 20. Let l(z) = -z**3 + 4*z**2 + 4*z. Give l(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8 - (-320)\/15)\/(1\/3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 240976026\/427 + -564347. Let h = -3\/61 - k. Which is the smallest value? (a) -0.3 (b) h (c) 4\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o - 11. Suppose 6*y - 186 = -0*y. Let w = y + -51. Let q be w\/(-12)*(-6)\/2. Let i(v) = 6*v + 17. Calculate q*i(r) - 8*t(r).\nAnswer: 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11594*h + 20632*h + 16740*h.\nAnswer: 25778*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/2773 and -74\/3.\nAnswer: 8319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 10*b - 17. Let u be c(2). Let p be 1 + -2 + 3 - 2. Solve u*s = 5*h + 32, 4*s - 3*h = -p*h + 28 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-1))*s**13*s**(-11\/4)\/(s\/((s**12*s)\/s)))**(-11\/6) assuming s is positive.\nAnswer: s**(-979\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2000331 - 423?\nAnswer: -2001304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 2*y - 8, 4*j + 3*y - 14 = 11*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.49, 15446, 3, -0.4?\nAnswer: 15446","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 8*c + 1. Let v(o) = 486*o - 222. Let q(y) = 42*k(y) - v(y). What is the first derivative of q(i) wrt i?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 20720, 20691, 20640, 20567, 20472, 20355, 20216?\n\"Answer: -11*g**2 + 4*g + 20727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 93.77658 seconds?\nAnswer: 93776.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/1439 - 18637\/100730. Calculate the common denominator of c and -25\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 133 - 34. Calculate the greatest common divisor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(60)\/sqrt(80)) + 5.\nAnswer: 5 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(117) - (sqrt(117) - (-1*sqrt(117) - sqrt(117))*2))\/(sqrt(324) + -2*sqrt(324))*-4.\nAnswer: -8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*c + 14 - 7, -2*g - 30 = -5*c. Let o be 1 + c - (-1 + 1). Solve -8 = -4*l - o*s - 0, -6 = -3*l - s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9 - (-66)\/11) + -3 + 3. What is the second smallest value in m, 0, -0.16, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -5*g**4\/2 - 10*g**3 - 15*g**2\/2 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + 21 - (8 - (-2 + -8 - -9)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150 and 3300?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*m - 57*m + 8*m.\nAnswer: -131*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63970340*z**4 - z + 29981712 wrt z?\nAnswer: -767644080*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 14 - 3 = 3*k + 2*w, -21*k - w = 45*k + 329 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**3 + 9 + 4 - 8.\nAnswer: -3*m**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**5\/5 + 1598*v**4\/5 - 20484*v**3\/5 + 37512*v**2\/5 + 169776*v\/5 = 0.\nAnswer: -2, 0, 6, 9, 786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 226782, 907137, 2041064, 3628563, 5669634, 8164277?\n\"Answer: 226786*a**2 - 3*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/2*2 + (8 - 4). Let x(a) = -a**2 + 8*a - 4. Determine x(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 49 = -33. Let v(o) = -o - o - 15*o**2 + 9 - w + 14*o**2. Calculate v(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/3726 and (-6)\/(-4) + 3717\/180 + 42\/70?\nAnswer: 7452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 318984 - 219983. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**4\/4 - 5181*u**3\/4 - 30990*u**2 - 247664*u - 660096 = 0. Calculate u.\nAnswer: -5157, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 w when three letters picked without replacement from wwwwuyyywywlyyyy.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 24, 80, 204, 420, 752?\n\"Answer: 4*j**3 + 10*j**2 - 2*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/140*(-29)\/(696\/16).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(19) + 1)*-6.\nAnswer: -24*sqrt(19) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000025503 to six decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167 divided by 92024?\nAnswer: 1167\/92024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/9 in -1, -0.1, 1\/4, 1\/12?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -114121044 (base 5) in base 11?\nAnswer: -336598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6371 - -6371.5193. What is p rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 69 + 105 + 9*r**2 - 2*r**2 - 13*r - 6*r**2. What is the hundreds digit of j(25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 206.6 * 103\nAnswer: 21279.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*((3*sqrt(1250))**2 - sqrt(1250)) + -2.\nAnswer: -45002 + 100*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/3762 and 79\/627?\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/(-8)*4\/6. Let q(a) = -a**2 + a + 4 - 2*a**u + 5*a**3 + 1. Let x(l) = l**3 + 1. What is q(v) - 5*x(v)?\nAnswer: -2*v**3 - v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 140\/2 - (0 - 2). Suppose 2*c + c = f. Suppose -146 = -2*n + 2*w, -9*n + 3*w = -4*n - 359. What is the remainder when n is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, u: 1, b: 1}. What is prob of picking 1 u and 1 r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-99))\/(8\/28)*(-171)\/133.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-178)\/(-35) - (-9)\/(-3). Let q = 16\/7 - l. Which is the smallest value? (a) -2 (b) 0 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -888*p**3 + p**2 - p - 1. Let m(b) = -b - 6. Let o(u) = u**2 - 4*u - 10. Let t be o(5). Let x be m(t). Is l(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**7*c*c**0\/c*(c*c*c**8)\/c**10 assuming c is positive.\nAnswer: c**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 402 and 216008.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12836 + 12835. Which is the closest to z? (a) 2 (b) -2\/11 (c) 1\/394\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 0*j + 1\/3*j**5 + 0 - 11*j**2 + 0*j**4 - 10\/3*j**3. Find the first derivative of v(f) wrt f.\nAnswer: 40*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16d5d (base 16) in base 13?\nAnswer: 3375b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-28 + 35 - (1 - -1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.1 (c) -7276 (d) 1\/8 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -440 (base 7) to base 12\nAnswer: -168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 + 0*s**2 + s**2 + 0*s + 0*s + s**2 + (4*s - 2*s - 4*s)*(-6*s + 5*s - 7*s - 1 + 1 + s + (2 - 3 - 1)*(0*s - 3*s + s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 0.3, -4, -9 in descending order.\nAnswer: 0.3, 0.01, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 24267644 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihg when three letters picked without replacement from {c: 1, s: 1, g: 1, i: 1, h: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1430*h + 521*h - 112113 = -10060*h + 68052 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 30, 10.4, 105, -0.2 in descending order.\nAnswer: 105, 30, 10.4, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 5:06 AM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsssvs. What is prob of sequence ss?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 299039357 to the nearest integer?\nAnswer: 17293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 495 divided by -3\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, d: 1, s: 2, k: 1, j: 1, z: 7}. Give prob of picking 1 k, 1 z, 1 d, and 1 s.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6292, 24910, 55892, 99244, 154972, 223082, 303580, 396472?\n\"Answer: g**3 + 6176*g**2 + 83*g + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*(1 + (sqrt(102) - (-2*(sqrt(102)*1 - sqrt(102)) + sqrt(102)))\/((sqrt(36)\/sqrt(3))\/sqrt(2))).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*n + 5*n - 2*n)*(0*n + 0*n - n) - 55*n**2 - 50*n**2 + 142*n**2 to the form d*n + t*n**2 + z and give t.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -11*n - 6*n + 17*n + n**2. Let f(y) = 13*y. Give m(f(g)).\nAnswer: 169*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**3 - 55690*r**2 - 948175*r = 0 for r.\nAnswer: -17, 0, 11155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7*c - 1. Let r = 287 - 489. Let a = r + 201. What is u(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 10*y - 14. Let q be i(-7). Suppose 1980 = q*l - l. What are the prime factors of l?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*x - 40*x + 243*x - 43*x - 74*x - 66*x.\nAnswer: -43*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 29*w + 0*w - 8 - 6*w. Let k(v) = 11*v - 4. Let x(f) = 13*k(f) - 6*l(f). List the prime factors of x(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1038.281 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+5.096\nAnswer: 5.396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25321\/2580 < 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/79311 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19.96 and -0.03?\nAnswer: -0.5988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + 48. Let g = -388.9 + 389. Which is the second smallest value? (a) -0.5 (b) i (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.136 - -24.136. Sort 2\/9, s, -2 in ascending order.\nAnswer: -2, 2\/9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f - 5. Determine k(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6*v = 60. What is the lowest common multiple of 8 and (v\/30)\/(2\/40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(288) + 1 + sqrt(128).\nAnswer: -40*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28\/(-500)*(-154)\/49. Is v greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 5*q = 2*v - 1, 3*v - 2*q = -5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.4 + -16.36. Let q = -15.6 - -15.2. Sort -1, -4, q, h in descending order.\nAnswer: h, q, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**5\/20 - a**3\/3 - 4*a**2. Differentiate k(y) wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 3 - (-27 - -19)) + 9 + 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8, -9, -8, -5, 0?\n\"Answer: b**2 - 4*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -18+1776.455655397\nAnswer: 1758.455655397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 4*s**2)*(-1 + 3 + 0)*(0*s + 3*s**2 + 0*s).\nAnswer: -24*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 59843*o - 3 + 5 - 55138*o.\nAnswer: -114981*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + a**2 + 0)*(5454 + 5720 - 9779)*((2 - 2 - 2)*(0 + 5 - 6) + 0 + 0 + 2 - 1 + 3 + 0).\nAnswer: 8370*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2011*q - 2779*q - 475507 - 6182 = 102691 for q.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(288) + sqrt(288)*4))\/(sqrt(18)\/sqrt(3)*5).\nAnswer: 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i - 5. Let u(m) = -m + 3. Let f = -28 + 22. Let j(t) = f*p(t) - 10*u(t). Let n be (-1 + 2)*2 - 0. Calculate j(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -13, -2, 0.2, -7\/2, 1?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -29, -46, -69?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23624 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-272)\/4*4424\/(-2212)?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5818972171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -221, -96, 111, 388, 723, 1104, 1519?\n\"Answer: -2*k**3 + 53*k**2 - 20*k - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12457?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11305 and 3180?\nAnswer: 7189980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -9. Let v(o) = 2*o + s*o - 6*o - 17. Is v(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 4*d - 5*g, g = -2*g - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8573, 8546, 8471, 8324, 8081?\n\"Answer: -4*q**3 + q + 8576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + x**2 - 4*x**2 + 5*x**2)*(3 - 5 + 1)*(17 + 88 + 20) to k + r*x + q*x**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/6 of a decade in months?\nAnswer: 820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 - 13*p**2 + 25*p + 10. Let m be n(-8). Calculate the greatest common divisor of 64 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**4\/24 + 412*y**2. Let f(x) = -3*x**2. What is f(l(c))?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 7*p**2 - 5*p + 5. Let h(r) = -2*r**3 + 14*r**2 - 8*r + 64. Let k be h(7). Let w(n) = -10*n**2 + 8*n - 8. Give k*u(o) + 5*w(o).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*r + 28, 0 = -5*u + 5*r - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 68) + (-5 - 0 - (-76 + 3 + 66)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = 2*n - 36. Let c(w) = -w**3 - 3*w**2 + w + 3. Let s be c(-3). Solve -16 = -n*p - s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3265941 micrograms in tonnes?\nAnswer: 0.0000000000003265941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-5)*(36\/42)\/(-3). What is the closest to -1 in w, -0.3, 13\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmgyvvxg. What is prob of sequence gg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -o**4\/42 - 62*o**3\/21 - 961*o**2\/7 - 12*o + 35. Let a(w) be the first derivative of h(w). Determine q, given that a(q) = 0.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1059813206.\nAnswer: 2, 15749, 33647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.39 take away 13606327?\nAnswer: -13606325.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 + (0 - (-22 + 6 + 23)) - -17.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19166 less than or equal to 19166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(3 - 2 + 4)*(0*o + o + 3*o).\nAnswer: 40*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.12, -2\/3, 21, 3\/2, 3\/16?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0084203 to 5 dps.\nAnswer: -0.00842","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 18 = -y + 3*d, y - 4*d - 23 = 0. Suppose 4*b - 2*p - 22 = 0, -2*p = -y*b + 4 + 13. What is the biggest value in -1, b, 1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34001 and 4777.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1816472*s**5 + 5238004*s wrt s.\nAnswer: -36329440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + (25 - 58) + 1 + -33 + 2?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(13\/(208\/(-12)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y - 51046 = -6430. Suppose -4*m + 2*v + 2*v + y = 0, 0 = -2*m - v + 1005. Does 18 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 2 = 65*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30\/17 or -0.62?\nAnswer: -30\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -5910*q - 18272. What is s(-3)?\nAnswer: -542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-4)*(-3 - -3). Suppose -m = 4*s - 6*m - 1948, a = m. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3272930302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 125251.0078 + -125266. Let x = -14.9 + -0.1. Let c = x - o. Round c to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 779570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x - 17. Let z be j(5). Let l(w) = 3*w**2 + w + 7. Let n be l(z). What is the third derivative of 9*a**5 - 37*a**4 + n*a**4 + 4*a**2 wrt a?\nAnswer: 540*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**5 + 12*m**4\/5 - 156*m**3\/5 - 544*m**2\/5 - 192*m\/5 = 0.\nAnswer: -4, -2\/5, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 340*f + 677. Calculate h(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 2 = 3*i. Let z = 1 + 3. Are z and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 3:16 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -1 (b) 952 (c) -2 (d) -11 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295889319.\nAnswer: 3, 11, 23, 199, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-133 - -136) + -12 + 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - -40) + (-7070)\/336.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/359 + -2423\/16155. What is the common denominator of -5\/8 and b?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 12:48 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94 + 6*p**2 - 61 + 117*p - 37.\nAnswer: 6*p**2 + 117*p - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4987967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27\/4 in -0.3, 0, 9, 0.8?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vhcggccgcchzhhgcccgc. What is prob of sequence hgcz?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*m + 1, -2*c - 4*m - 1 + 7 = 0. Solve -5*g = o - 6*o - 10, 0 = g + c*o + 22 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 98 + -397\/4. Let g = 3691528 - 44322689\/12. Let b = 2032 + g. What is the common denominator of b and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38708343 = 4*l - 4*w + 12091677, -4*w - 12699980 = l. Round l to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.94 + 1.8. Let c = 111141.8599908 - 111142. Let p = c - r. What is p rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1983 at least -1977?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2618061 is divided by 4786?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 4*d + 7. Calculate the remainder when 71 is divided by l(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 312946 divided by 156473\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -46. Suppose 5*p + 154 - h = 2*w, -5*p + 215 = 3*w. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0619932 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 12 = 0, -n + 6*n = 2*t - 22. Calculate the remainder when 34 is divided by -1 - (t + -12) - -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a hour in minutes?\nAnswer: 870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54922.\nAnswer: 2, 7, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2420))**2.\nAnswer: -44*sqrt(5) + 2421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -335458?\nAnswer: -335457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 176 = -73. Let b = 76 - 64. Calculate the remainder when d is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 56*c**2 - 59*c + 114. Let m be t(57). Determine k, given that m - 2\/5*k**3 - 6\/5*k - 8\/5*k**2 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -267 (b) 0.1 (c) -5 (d) 10 (e) 5\/34\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15586688?\nAnswer: 2, 13, 17, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**4\/2 + 861*v**3 + 10239*v**2\/2 + 4260*v = 0.\nAnswer: -568, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3175 + -1294. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.6 * 0.733\nAnswer: 1.1728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 3.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1066 + 1107. Calculate the remainder when 129 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/249 or 0.02323?\nAnswer: 2\/249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1920 - -1925. Let q(o) = -3*o + 2. Let d(p) = 12*p - 7. Let u(k) = 2*d(k) + 9*q(k). Let g be u(3). Sort v, 1, 2\/9, g in decreasing order.\nAnswer: v, 1, 2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 28 + 1 + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*w - 0*w - 600. Let c = 135 + w. Calculate the remainder when c is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 189.07*-6\nAnswer: -1134.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1060 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*v = 220*v - 490. Calculate the remainder when 361 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**3 - 3*p**2 - 6*p. Let r be b(-2). Let f(n) = -n**2 - 14*n + 21. Let t be f(r). Let a(u) = -u. Let d(q) = -6*q + 1. What is t*a(x) + 2*d(x)?\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 0*v + 147 + 9*v - 3*v + v. Calculate the smallest common multiple of 70 and p(-12).\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 321200310112 (base 4) to base 11.\nAnswer: 8568328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002022202212 (base 3) to base 14.\nAnswer: 1104ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -6700*h**2 + 4*h - 24. Let x(y) = 1942998*y**2 - 1161*y + 6966. Determine 1161*u(i) + 4*x(i).\nAnswer: -6708*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/209 + 6475\/836. Let c = 2237\/6 - 371. Find the common denominator of u and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -323 - -325. Let b be -2 + 4\/(32\/14). What is the second biggest value in 2\/25, b, l?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - -0.1. Let p = 9 + -7. Is v > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a - 2*a + a + (-17*a - 15*a - 8 + 10)*(4 - 1 - 1) in the form c + z*a and give z.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -5)*(5 - 6). Suppose 4*l + c*t = 36, l + l = t + 4. Suppose -l*m = -5*y - 14, -5*m + 34 = -y + 6. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b = 55*f - 58*f - 173, f - 345 = -8*b - 210 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 7:36 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 11:45 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y - 7 - 53 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 10*h**2 - h + 1. Let o be m(10). What are the prime factors of 468\/8*(-4)\/o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, u: 1, m: 1}. What is prob of sequence ucm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ayaa when four letters picked without replacement from yryyaayyarararyya?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 825, 840, 879, 954, 1077, 1260?\nAnswer: 1515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1816 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 11:48 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -12 + 27. Suppose -h*t = -8 - 19. Suppose 5*d - t*d + 260 = 0. What is the remainder when d is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -146764*u**5*x**2 - 48*u**5 + 3703*u*x**2 - 6*u*x - 3*u + 93*x**2 wrt u?\nAnswer: -2935280*u**3*x**2 - 960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {s: 2, e: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s + 7*s**2 - s**2 + 5*s. Let i = -1 + 0. What are the prime factors of p(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.43 times -271502\nAnswer: 388247.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**3 - 3 - 1 - 3*b**2 + 1 - b**3 to the form y*b**2 + r + z*b**3 + i*b and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmu when three letters picked without replacement from muvgwmz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r + 6. Let x be g(-10). Calculate the common denominator of -7\/20 and 1 + 1 - (2 + (-267)\/x).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-2\/25)\/l**(-4\/11))**(-2\/11))**(7\/5))**(1\/19) assuming l is positive.\nAnswer: l**(-1092\/287375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v - 4*v - v - 7 - v. Let y be w(-3). Solve -2*k - y = 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.46165 - 0.26165. What is the nearest to o in 36, -0.3, 17?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13812 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -12*o + 618. What is the tens digit of r(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -7*v**3 + 3*v**2 - 12*v - 12. Let f be z(-4). Suppose -2*b + f = 2*b. Suppose b + 62 = 5*i. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 2*n = -16, 8*v - 11*v - n + 14 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -595503\/22 - -27073. Find the common denominator of z and 0 + (6 + -9 - (-115)\/12).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 72 = 3*n. What is the smallest common multiple of 1\/3*(-3744)\/(-39) and n?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103*z**2 + 203 + 200*z - 91*z**2 + 109*z - 319*z wrt z?\nAnswer: -388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.043863 - -0.543863. Let d = 3\/40 - -7\/40. What is the closest to d in n, -0.2, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3. Let i(f) = f**2 + 9*f + 3. Let l be i(-8). Let v = l + 1. Let b(t) = t. Let r(h) = v*b(h) + m(h). Find the first derivative of r(w) wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3932 + -2017. What are the prime factors of a?\nAnswer: 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -13, 5, 0.05, 3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 3) in base 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44830 and 341434246?\nAnswer: 1707171230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 235 + 3 + -8 + 1*-2. Suppose -7*q - j - 178 = 0. Are -55 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11, 0, -15, -34, -57, -84, -115?\n\"Answer: -2*y**2 - 5*y + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55.475815 + -0.475815. Let q be 0 + 1\/(-14)*-4. What is the third smallest value in b, -1, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10491*k + 53405 wrt k.\nAnswer: 10491","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 653853 + -653723.9613. Let z = -129 + b. Round z to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -78, -157, -236, -315, -394?\n\"Answer: -79*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42000*i**4 + i**3 - i**2 + 32*i - 262 wrt i.\nAnswer: -504000*i**2 + 6*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 213 = -f. Suppose -q + f = 4*h, -h + q - 37 = -3*h. What is the remainder when 33 is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxvxxxxxvxvxxv. What is prob of picking 1 x and 3 v?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 792?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(4*s**5 + 4*s**5 + 7*s**5 + (-7*s**2 + 2*s**2 + s**2)*(4*s**3 + 5*s**3 + 6*s**3)).\nAnswer: 45*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*u - 2250 = -163*u. Calculate the highest common divisor of u and 14562.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27 and 192182?\nAnswer: 5188914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, -28, -3, 21, -4, 11, 5 in ascending order.\nAnswer: -74, -28, -4, -3, 5, 11, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 6 + -9 - (2 + -1 + 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/2*6*(-36)\/162. Let d(y) = y**2 + 13*y + 21. Give d(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - j + j)*(1 + 19*j - 1) + (4*j + j - 3*j)*(3*j + j - 3*j).\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -331. Suppose -531 = -13*l + c. What is the remainder when 183 is divided by l?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (9 + -6 - -2) + -14 + -2 + -24.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 + 31. Which is the closest to -2? (a) 2 (b) x (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 0 - -4) + -1. Suppose 4*y = -p*v + 32, -3*y + 6 - 2 = -v. Suppose -5*b = -y*z + 40, -2*z - 4*b + 12 = -0*b. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(((-12)\/(-30))\/(2\/5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-2)*(-2 - -1). Let r = 13\/5 + a. Suppose 0 - g**2 + 2\/5*g + r*g**3 = 0. Calculate g.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3227722*x + 3227722*x + 9819*x**3.\nAnswer: 9819*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -o - 297. List the prime factors of 3\/4 + o\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-2))\/(8\/(-560)). Find the common denominator of 137\/6 and q\/300 - (0 - 2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 702 divided by -3\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 956385 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2035 and 6105?\nAnswer: 6105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47 and 6016?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-189)\/30 - 279\/(-155))\/(7 - 1).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11421.2 - -11421. Let z be 24\/(-182) + 8\/28. What is the second biggest value in z, -1, i, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-66)\/6 - 0)\/(-4 + 3). Let c(w) = -w - 5. Give c(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 1 = g, 2*g = n - 2 + 6. Let o(c) = c**3 - 5*c - 2. What is the units digit of o(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q + 10. Let n(w) = 18*w - 11. Let r(i) = -2*d(i) + n(i). What is r(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f + 58. Suppose -4*o - 52 = -164. Let m be y(o). Solve -m + 8 = -2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 10:39 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**2\/(b*b**(-6))*b**(3\/5)\/b**(-5\/6) assuming b is positive.\nAnswer: b**(253\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/402 and -12\/737.\nAnswer: 4422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 14217544 + 1080*z - 14217544 as k*z + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.9 and 0.1?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -74, -232, -536, -1034, -1774, -2804, -4172?\nAnswer: -5926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*z + 24. Suppose 84 = 20*g - 24*g. Let r = z - g. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*c**5 + 7*c + 7 wrt c?\nAnswer: -440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*n = 2*i + 28, 5*i - 46 = 3*n. What is the highest common divisor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3179 and 1496.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (4 + -23 - -34).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -28681 (base 9) to base 8\nAnswer: -46071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27124348*k**3*u**2 - 13847562*k**3 + 6*k**2*u**2 - k - 2*u wrt u.\nAnswer: -54248696*k**3 + 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1)*19\/((-19)\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, e: 5, a: 2, d: 2}. What is prob of picking 1 p and 1 a?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -83 and 7.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2 + 8*y + 7. Determine x(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 - 87328*t - 8173488.\nAnswer: -4*(t + 94)*(t + 21738)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/24 + -13\/24. Which is greater: n or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8699 + 3873. Suppose 3759 + a = 7*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 4. Let o be 20\/(-8)*8\/(-5). Let i(y) = -4 + 0*y - 3 - y. Let g(a) = o*i(a) + 7*r(a). Let f(w) = -2*w**2. Give f(g(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -256 - 5?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50609, 50605, 50601, 50597, 50593?\nAnswer: 50589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25915 + -25916. Which is the nearest to 1? (a) 22\/35 (b) -0.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z - 5. Let r be c(-5). Suppose -r*i + 16 = -3*w - 0*w, 4*w = -2*i - 4. What is the lowest common multiple of 3120\/220 + (-6)\/33 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 185 - 554\/3. Let s = 0.9 - -0.1. Which is the nearest to s? (a) -0.4 (b) m (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -92, 4, 0, 2, -1712, 5 in decreasing order.\nAnswer: 5, 4, 2, 1, 0, -92, -1712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 7. What is the remainder when 14 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*j - 4*k, -3*j + 2 = -k - 1. Put j, 3, 2, -1 in decreasing order.\nAnswer: 3, 2, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 330040?\nAnswer: 330037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 5. Let r = 4 + y. What is the units digit of 3\/1*16\/r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 123 and 3.935.\nAnswer: 484.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + h - 14. Let r = 317 - 313. Suppose -9 = r*t - h*t. Solve -t*a + 8 = a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4692*i + 69*i**5 - 78*i**4 + 88*i**4 + 2*i**2 - 34*i**5 - 449*i**4 - 36*i**5 wrt i?\nAnswer: -20*i**3 - 5268*i**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 33, 1, 4\/17, -0.06, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5094823 - 8141879. Let t = 1247056 + f. What is t rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5737 is divided by 164.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssssssssggssgs. Give prob of picking 1 g and 1 s.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 127 + -22. Let p = a - 74. Let j = 30.74 - p. What is j rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**7\/105 + j**6\/60 - j**5\/30 - j**4\/12 + 7*j**2. Factor d(f).\nAnswer: 2*f*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from qrkqbce.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 51.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*j + 44*j = 0. Let w(i) be the first derivative of j*i**2 + 14\/3*i**3 - 11 - 16*i. Differentiate w(c) wrt c.\nAnswer: 28*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2236*t - 917*t - 217*t - 2522*t - 2641*t as q + j*t and give j.\nAnswer: -8533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 5. Suppose f*j - 45 = -h, -5*h + 80 = 3*j + 23. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/3, -686, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.8, 11, 15, -42, 64?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3348 divide 420756552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -113, -4026 in decreasing order.\nAnswer: 4, -3, -113, -4026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1148 bigger than -9181\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*g + 3. Let n(x) = 2*x**3 - 3*x**2 + 1. Suppose 6 = c + 4. Let y be n(c). Solve 17 = -y*w + g*z - 0, 3*z - 18 = 5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100539836.\nAnswer: 2, 17, 149, 9923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6628623 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 53 = -66. Let m(w) = -w**2 - 9*w + 3 - w**2 - w**2 + q*w - w**3. Suppose 0*y = 4*y + 8. Calculate m(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/(-1) + (-402)\/67 + 219 is divided by 106?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -31*c**2 + 16*c**2 + 16*c**2 - 3 + 4*c. Give z(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59*4\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*q + 26 = 25*q + 576 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -323 - 348 = -11*t. Calculate the remainder when 120 is divided by t.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (87\/(-58))\/(1\/2 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c, -4*o + 3*c + 24 = 8*c. Let u(h) = 3*h**3 - h - 3*h**3 - 2*h**3 + h**3 + 6 + 2 + 6*h**2. Calculate u(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*l**2 + 22 - 47 + 24 to the form d*l**2 + c + n*l and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**6\/240 - j**4\/16 + j**3\/3 - j**2. Let w(n) be the first derivative of r(n). Let w(d) = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 30*u - 5. Suppose 4*m + 9 = 33. Let x be l(m). Let v = -121 + x. What is the remainder when v is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16059?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 + (-26145)\/(-1071))*2\/14?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 3*c**5\/5 - c**4\/12 + c**3\/2 - c**2\/2 - 62*c. What is the tens digit of o(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + t = -1, 2*t + 5 + 7 = 4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(4598) - sqrt(4598)*2)*-3 + sqrt(4598))\/(sqrt(6)\/(sqrt(3) + sqrt(72)\/sqrt(6))).\nAnswer: 660*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -8*y**2 - 42*y - 8. Let l be (9 - 9\/6)*(-2)\/3. Let x be w(l). Solve -x = -2*s + 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in 2, -2\/11, -4, 1\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 p, and 1 h when three letters picked without replacement from {a: 3, p: 5, s: 6, h: 2, o: 1}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhm when four letters picked without replacement from {m: 5, h: 5}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339*k - 339*k + 149*k**3 + 206*k**3 - 28*k**3.\nAnswer: 327*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1162600 is divided by 257.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -34\/7*t**2 + 2\/7*t**3 + 18*t + 162\/7 = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 81\/21) + (291\/21 - 14)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 + 68 = -17*f. Let l(i) be the third derivative of i**4\/12 + 11*i**3\/3 + i**2. Calculate the remainder when 9 is divided by l(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*(sqrt(2744) - -2*sqrt(2744))*3)\/((sqrt(56)\/(1*sqrt(7)) + sqrt(8) + (sqrt(8) - sqrt(32)\/sqrt(4))*-4)*-6).\nAnswer: 189*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 66222440 divided by 20\nAnswer: 3311122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 3*o + 9 = 0, -12 = 4*o - 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1944) - -3*(sqrt(24) + sqrt(24) + 2*sqrt(24)))\/((sqrt(72)*-1 + sqrt(72))*-4 - sqrt(72)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 3:20 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12057 - 5.\nAnswer: -12062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7231 divided by 7231?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1002*c**2*l*q**2 + 3*c**2*l*q - c**2*q**3 - c**2*q**2 + 5*c**2 + 27*c*l*q**3 - 3*c*q**2 + 547*q**3 wrt q?\nAnswer: -6*c**2 + 162*c*l + 3282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*y - 52802 + 53114 = 0 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 23928, 48030, 72130, 96228?\n\"Answer: -o**2 + 24105*o - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623292 is divided by 1126?\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**4 + 20811 + 0*r**4 - 2*r**2 + 14*r - 20813 + 5*r + 2*r**3 in the form h*r**3 + s*r + d + q*r**2 + z*r**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 12 = -216*v + 215*v, 4*v = -h + 3. Let t = 8.3 + -8. Which is the closest to h? (a) 0.1 (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i + 2*i - 3*i)*(-i - i**3 + i) + (i**3 + i**3 - 4*i**3)*(-25 + 25 - 14*i) in the form v*i + j*i**3 + g + a*i**2 + w*i**4 and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(2\/(1*184\/4)). Let w(b) = -b**3 - b**2 + b + 33. Let r be w(0). Let g = p + r. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*z - 304, -71 = b + 2*z - 173. Suppose -17*y = -12*y - b. Let l = -15 + 20. Solve l - y = -5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*b + 243 + 363 = 0, 3*r - 369 = -3*b. Let k = r - 42. What are the prime factors of k?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/4 + 0. Suppose -i + 2 = -3*i. What is the nearest to -1\/4 in i, 3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 528 and 726?\nAnswer: 5808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 - -32. Solve 0 = -4*q - 3*c + 31, -5 = -2*q - b*c + 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**5\/12 + y**4\/12 - y**3\/2 - 7*y**2\/6 - 11*y - 12. Factor z(m).\nAnswer: (m + 1)**2*(5*m - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 350 + -349. Let d(m) = -m**3 - 2*m**2 - 3*m + 2. Let l(g) = g**3 + g - 1. Determine u*d(f) + 2*l(f).\nAnswer: f**3 - 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/70847 and -25\/91.\nAnswer: 921011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + f + 1. Let x(h) = -6*h**2 + h - 8. Let r(z) = -5*c(z) - x(z). Let i = -14 - -20. List the prime factors of r(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 - (4 - 7)) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmw when three letters picked without replacement from wowcmckk?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -0.04 (c) 15 (d) -77152\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 4. Let k(y) = -y**2 - 20*y - 15. Let s be k(-19). Suppose -4*v + 3*a + 18 = 0, -3*v - 5*a = 1 - 0. What is the nearest to -2 in d, v, s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9180 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 542991 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/10 + (1 - 0). Let j = -1 + 1.8. Let f = -1.2 - j. Sort h, f, 0 in descending order.\nAnswer: 0, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 5*o + 27. Let m(v) = 2*v + 13. Let d(x) = -6*f(x) + 15*m(x). Let i(a) be the first derivative of d(a). Let b(w) = 6*w**2. Give b(i(u)).\nAnswer: 864*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 z when two letters picked without replacement from zwgcczr?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -134 + 2681\/20. Let y(s) be the third derivative of 4*s**2 + 0*s**3 + 0*s**4 + 0*s + h*s**5 + 0. Let n(u) = 2*u**2. What is y(n(t))?\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11\/74 - -24\/37. Let l be 84\/(-108) - 1\/(-1). Which is the closest to -13? (a) h (b) 0.01 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/8 + 713175*q**2\/8 + 1426347*q\/8 + 713173\/8.\nAnswer: (q + 1)**2*(q + 713173)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1732 - 1713 + 3770)*(0*t**2 + 3*t**2 + 3*t**5 - t**2).\nAnswer: 975*t**5 + 650*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5191545 is divided by 1274?\nAnswer: 1269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 78 = 12. Suppose -u + 32 = 5*v, -u + 4 = -v + 8. What is the lowest common multiple of v and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 76697712 and 702?\nAnswer: 76697712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116652521 to the nearest integer?\nAnswer: 10801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1)*j**(-6))**(4\/13)\/(j\/(j\/(j*(j**(-7)*j)\/j*j)*j)*j**(5\/8))**33 assuming j is positive.\nAnswer: j**(18255\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -5*k**3\/3 - 101*k**2\/2 - 21*k - 3. Give d(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-6) + (-16)\/(-6). Let k(q) = 6*q**2 - o*q**2 - q**2. Let d(a) = -3*a + 9*a - a - 7*a. Calculate k(d(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 25*o - 97. Let p(k) = -6*k + 24. Let y(j) = 2*f(j) + 9*p(j). Let g be y(-9). Suppose 2*z = -4*n + 48, 4*n + 3*z - g = -n. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 3*i**2\/2 - 91. Let j(x) = -2*x + 1 - 1 - 5*x. What is j(d(q))?\nAnswer: -21*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 12 = -10*p. Suppose 5*g = -p*b - 11 - 19, 3*g = -4*b - 29. What are the prime factors of (1\/g)\/(3\/(-279))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006885 to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1197624 - 0.328.\nAnswer: -1197624.328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.09415 - -4524.90585. Let s = 4522.241 - l. Let m = 0.059 + s. What is m rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 7*y + 119. Give r(-18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29.11 + 19.11. Let l = y - 0.22. Let k = l + -46. Sort k, -0.2, 4 in increasing order.\nAnswer: -0.2, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**5\/6 + 149*z**4\/3 - 29479*z**3\/6 + 319390*z**2\/3 = 0. What is z?\nAnswer: -380, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(-5) - 27\/45.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 - 58 + 177 - 53 + 11*w**2 - 7*w.\nAnswer: 11*w**2 - 7*w + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrw when three letters picked without replacement from vvrwrvrvvvzrrrrrv.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d + 5. Let k be q(-4). Let r = 21\/251 - 1\/3012. Which is the nearest to k? (a) -4\/5 (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lmooooomlomolooloomo. What is prob of sequence lmo?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**4\/4 - 41167*i**3\/4 + 247033*i**2\/4 - 205865*i\/4 = 0.\nAnswer: -41173, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 292\/3 + -5839\/60. Let p(w) be the third derivative of 0*w + 0*w**4 + 0*w**5 + 2*w**2 + 0 + 1\/105*w**7 - a*w**6 + 0*w**3. Factor p(r).\nAnswer: 2*r**3*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 + 123 = 28*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24690958 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/13 - 734*w**2 - 15014240*w\/13 - 7771279416\/13.\nAnswer: -2*(w + 1263)*(w + 1754)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -8*t + 4. Let n(s) = -8*s + 3. Determine 3*j(a) - 4*n(a).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 + -0.71. Let p = s + 0.01. Let z = 1.96 - -0.04. Which is the biggest value? (a) p (b) 5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/4472 and -63\/336002.\nAnswer: 17472104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127 - 9*s + 4*s - 148.\nAnswer: -5*s - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 6. Let s(b) = b - 2. Let m be s(f). Suppose 10 + m = 4*d. Solve -4*t = 4*u - 24, 6 = -u + d*t - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 11*t - 24*t + 17*t + 7 + t**2. Calculate a(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, -2, 6, -4.\nAnswer: -85, -4, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 53, -0.087, 0.02?\nAnswer: -0.087","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 24. Suppose q*l - 134 - 38 = 0. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68.426 minus 0.883?\nAnswer: -69.309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -17929950.19 + 2?\nAnswer: -17929948.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38 in 1\/7, -4, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32373 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/2 - 96393*f + 578367\/2.\nAnswer: -(f - 3)*(f + 192789)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v + 2. Give u(-12).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 19 = 5, -4*t - 12*m - 15 + 10 = -16 - 65 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1309251527?\nAnswer: 53, 149, 317, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 + 60 - (-2 + 19).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 170603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 93656 and -2135462.\nAnswer: -2041806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128820 and 95?\nAnswer: 128820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x**3 - 7*x**2 + 2*x - 74. Let t(y) = 10*y**3 + 20*y**2 - 4*y + 222. Let k(c) = 7*j(c) + 2*t(c). List the prime factors of k(-14).\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35155 less than or equal to 3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1102 + -654. Let l = 477 - w. Find the common denominator of l and 18\/(-32)*(-14)\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avaaaaavavvaaa. Give prob of sequence vvv.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 172705 and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y - 6. Let v be h(6). Let o(s) = s**2 + 3*s - 1. Let q be o(-4). Let u be (q\/(-10))\/(v\/15). What is the closest to u in 1\/8, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.43208 + -0.06792. Sort 8\/33, -3, 4, r, 5 in decreasing order.\nAnswer: 5, 4, 8\/33, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + (-3 - -6) - (1 + -4). Solve 2 = 2*f + 3*f - 3*h, -o*h = f - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 1:56 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4232 + 4797. What is the highest common divisor of 791 and h?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/10, 0.05, -7\/3, -27, 4, 1\/6?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 15.568?\nAnswer: -20.568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -8. What are the prime factors of -3 - (-31 - (3 - z))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: 282804 * -6\nAnswer: -1696824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/2*(-30)\/(-70).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 + 38 = 5*y + 60 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 7*u + 7. Calculate k(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2 - 6 + 4492*t - 4488*t + 2 + 81*t**2. Let b be (1\/2)\/((-1)\/(-2)). Is d(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-54)\/36)\/((-2)\/108)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -524*u = -27706 - 20502 for u.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 47*t + 56*t - 104*t. Let p(l) = 803*l**2. What is p(x(a))?\nAnswer: 803*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -275 - -295. Suppose -5*v + 50 = 5*i, k = -5*i + 9*i. Let b = 0 - 5. Sort -4, b, 9, v in increasing order.\nAnswer: b, -4, v, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4817303*o**2 + 4817303*o**2 + o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -10079*g**2 + 5042*g**2 + 2*g**3 + 5039*g**2 + 2 - 3*g**4 + g as n*g**4 + m*g**3 + d + u*g + o*g**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, e: 1, i: 2}. What is prob of picking 1 e and 2 i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -3*p**2 + 34. Let n(i) = -i**2 - 5*i - 5. Let o(j) = -2*j - 2. Let f(k) = 2*n(k) - 5*o(k). Determine f(v(a)).\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*b + 7*b**2 - 7*b**2 - 11*b**2 wrt b?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -3*o, -9*s + 2*o - 19 = -8*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 36. Let v be o(0). Let q = 508 - 679. Calculate the least common multiple of 10 and q\/v - 2\/(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -17578*s + 17577. Determine y(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-2)*1 + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -253, 14\/199, -145, 0.1 in ascending order.\nAnswer: -253, -145, 14\/199, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49205 + 170629 + 452206 = 6*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -1. Factor -2 - 7 - 10*u - 3*u**2 + 3*u**3 - g*u.\nAnswer: 3*(u - 3)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.034, -0.4, -4\/5 in decreasing order.\nAnswer: -0.034, -0.4, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7921\/348 - -88\/87. What is the common denominator of r and ((-295)\/(-4130))\/((-24)\/(-518))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252*n**3 - 455*n**3 + 302*n**2 - 302*n**2 + 209*n**3.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 54330 (base 6) in base 13?\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + 69. Let m = 41 - i. Solve m*w + 3 + 13 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1389.\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 131149, 261007, 390865, 520723, 650581, 780439?\n\"Answer: 129858*f + 1291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 9:15 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*o**2 - 206*o**2 + 844*o**2 - 201*o**2 - 229*o**2 + 212*o**3.\nAnswer: 212*o**3 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = s + 2*s, y + 3*s = -10. Suppose a + 200 = -t - 2*t, -403 = 2*a + y*t. What are the prime factors of 6\/126*7 - a\/3?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -84839*k**4 + 6225*k.\nAnswer: -1018068*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 123*g + 2326. Give b(-19).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 906840 and 45.\nAnswer: 906840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -579*n + 413 = -638*n. Let t(s) = -s**3 - 5*s**2 + 8*s + 8. Determine t(n).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 12:45 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 10.509, -2, -1012, 2, -1\/2?\nAnswer: 10.509","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 909\/432*-39 - (-57)\/912?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, y: 1, s: 2, g: 2}. What is prob of picking 1 y, 1 s, and 2 z?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fwfwfffwffw.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -3 in descending order.\nAnswer: 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 301634696 a multiple of 1633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*g + 4*c + 12, -5*c + 15 = -g. What are the prime factors of g\/20 + 25\/4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 1511013?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1173 - (14 - 4)\/(-2). Let d = j + -705. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 4*n - 20, -4*u + n = 4 + 1. Suppose -10 = -u*c + c. Let g be 4\/c - 24\/(-10). Solve g*v - 10 = 4*p + 12, 22 = 5*v + p for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 145, 0, 5, -4, 2 in decreasing order.\nAnswer: 145, 5, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + n + 7. Suppose 3*i - n = 5. Suppose q = 4*m - 164, q = -4*m + i*q + 172. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 200 = -2*u. Let c be 3\/5 + 34\/u. Let r = 0.006 - 0.006. What is the smallest value in r, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5338, 5335, 5332?\n\"Answer: -3*u + 5341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186 = 19*z + 12*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15326 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: Is 1212008 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*z - 5. Let i(p) = 0*p - p - 3*p + z*p. Let g(m) = 5*m**2. What is i(g(y))?\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3031128 and 33.\nAnswer: 33342408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/11 + 6342656*u - 55315267059712.\nAnswer: -2*(u - 17442304)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 3:46 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 551 and 437.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 28. Suppose -3*a + 7 = c. Solve -a*z - 2*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b96 (base 12) to base 11.\nAnswer: 6518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (9 - (-8 - -7 - -1))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 172\/2085?\nAnswer: 172\/2085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49878 or 2?\nAnswer: -49878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -433 - -479.75. Let d = -7.33 + h. Let n = -39 + d. Round n to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(190) + sqrt(190) + sqrt(190) + sqrt(190)*1 + sqrt(190) - sqrt(190) - sqrt(190))\/sqrt(10) - (sqrt(19) - (5 + sqrt(19) + 2)))**2.\nAnswer: 42*sqrt(19) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -3*f**3\/2 + 40*f + 4. Let m(z) = -20*z**2. Give i(m(v)).\nAnswer: 180*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*j - 1807 = -39*j + 1193 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 222083748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccj when three letters picked without replacement from jqbjfbfqcfbjbqbfbcb.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9*(-20)\/(-300)*53305?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/330 and -111\/20?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0460372 and -3.66?\nAnswer: 0.168496152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 2 + 2)*(-2*p**2 + p**2 + 2*p**2)*(-1781 + 1264 + 1095)*(3 + 1 - 3) in the form k*p + r + z*p**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 97\/11 - (4\/22)\/(-1). Solve 4*c - l = 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 57. Let s(o) = 13*o**2 - 50 + w + 5*o**2. Does 6 divide s(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -11824.96.\nAnswer: -2364.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(60\/(-20))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**5\/20 + 3*r**4\/4 + 23*r**3\/6 - 3*r**2 - 445*r + 1. Calculate f(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8 + 136\/16)*(1 - -3). Suppose -2*t - t = 0. Solve 3*o + 3 = -v, 2*v = -q*o - t - 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 12:17 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100204?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -577264*l**2 + 310938*l.\nAnswer: -1154528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-8))\/(-1) - (13 - 15)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, -102, -6, 0.5, -118 in decreasing order.\nAnswer: 0.5, 4\/9, -6, -102, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 - 11*m**2 + 1.\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1223330 + -3?\nAnswer: 1223321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12762229 or -89335594\/7?\nAnswer: -89335594\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n*n**(-3)*n)*n)\/n)\/n)\/(n*n**(-3)*n))\/(n**(-2\/7)*n**3)*(n**6*n*n\/(n\/((n\/(n**(-2)*n))\/n))*n)\/(n**(1\/3))**(-5\/7) assuming n is positive.\nAnswer: n**(179\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2.354552us?\nAnswer: 2354.552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x + 2*x - 3*x + 9*x - 3*x.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 6:19 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 35*s - 202. What is v(7)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/2))**(-6)*((r*r\/(r\/(r**(-2\/3)\/r)))\/r)**(-1\/13)*(r**(-4)*r**(-2\/5))\/((r**(-1\/2)\/r)\/r)**(22\/5) assuming r is positive.\nAnswer: r**(727\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 263*c = 265*c - 1, y - 1 = c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**2. Let x(o) = 3*o + 6. Calculate x(h(k)).\nAnswer: -9*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + s**2 + s - 1. Let i = -74 - -80. Suppose -20*j + 22*j = i. Let d(w) = -6*w**2 - 12*w**3 - 2*w + 6 - 4*w + j*w**3 + 6*w**3. Give d(b) + 6*l(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 + -57.\nAnswer: -57.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 9*z**2 + 1. Let t be s(1). Let x(h) = 168*h - 492. Let p be x(3). Solve -y - v = 0, t*y - 5*y - p = -2*v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 217.4 - 104. What is p rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4)\/u)**(2\/39)\/(u**(-5)*u**(-4))*(u*u**(2\/3)*u*u**(1\/9))**(13\/4) assuming u is positive.\nAnswer: u**(8407\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 251.\nAnswer: 2259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 659, 1290, 1945, 2636, 3375, 4174?\n\"Answer: 2*f**3 + 617*f + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 378016 and 16?\nAnswer: 378016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 98 + 4*m + 15*m - 2*m - 126 to l + a*m and give a.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66 - -61. Let l be (-4)\/(c + 1 + 2). Solve 0 = r - 0*r - l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 409 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: Let q(o) = 3*o**3 + o**2 - 2*o + 1. Let y be q(1). Suppose -4*n = -n + 4*h + 8, 0 = 4*n - 5*h + 21. Which is the nearest to 0.2? (a) y (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 9*v + 3. Let r be s(-9). Suppose 1 = h - r. Solve -h*m = -0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 3. Let v be o(-7). Let w = v - -14. Suppose 0*d + 5*d - 2*x - 208 = 0, w*d - x = 164. What is the remainder when d is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-2)\/4*-6. Suppose -3*u + 5*i - 17 = 0, 2*u + 4 = -i - x*i. Let f be (-1)\/2 - 14\/4. Is f bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = o + 5*i, 10 = 2*o - 4*i + 6*i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.75 + 1.65. What is the fourth biggest value in 0.1, -4, l, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a day in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20137*b**3*d**4*x - 4*b**3*d**2 - 2119*b**3*x - b**2*d*x + d**4*x wrt d.\nAnswer: -483288*b**3*d*x + 24*d*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5*l**2 + 4. Suppose -6*o + 3*o = 9. Let m = o + 7. Let d(f) = 4*f**2 - 3. Let a(i) = m*d(i) + 3*v(i). Let b(y) = -2*y**2. Determine b(a(x)).\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 4*q - 6*q)*(4 - 3 - 2) - 695*q + 448*q - 156*q.\nAnswer: -402*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -29) + -3 + -76 + (-5 - -9).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1633*p = -1575*p - 1856 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 59*4) + -3. Is (-8)\/(-28) + y\/(-7) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2 - 12. Calculate the smallest common multiple of 2 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 74 and 10.7.\nAnswer: 84.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + 0 - 22\/6. Let g be 2*-1*177\/(-18). Let u = g + -304\/15. Which is the third biggest value? (a) 0.2 (b) u (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 e when two letters picked without replacement from fxe?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2. Let s(t) = 4*t**3 - 2*t**2 + t. Let d(m) = m**3 - 11*m**2 - 11*m - 13. Let x be d(12). What is x*s(r) + 4*p(r)?\nAnswer: -4*r**3 - 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 4*k = -8, k - 202 = -205 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/32*4*-6. Which is the second smallest value? (a) 7 (b) 1 (c) 2\/9 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-35)\/(-14)*1*3786\/5. Let h = -1329 + u. List the prime factors of h.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27a (base 15) in base 2?\nAnswer: 1000110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 9:39 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 542 + 302 = 2*b. Let c(a) = a**3 + a**2 + 2*a + 174. Let d be c(0). Suppose 3*l + d = 5*l - 4*y, 5*l - b = -3*y. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33992)\/59486*-6*84\/(-9)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 5:37 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1645529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 9*k**3 + 450*k**2 - k - 32. What is the smallest common multiple of y(-50) and 332?\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 215 = 8*p - 4*p, -5*f - 5*p = -300. Suppose -28 - 4 = 4*q. Let g be (2\/q)\/((-1)\/52). What is the highest common divisor of g and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 167761 and 451.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5649*l**3 + l**2 + 87450 wrt l?\nAnswer: -33894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*f + 29 + 3 + 5 - 24*f - 36.\nAnswer: -52*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.1 (b) 1\/48 (c) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 10256156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m - 66. What is i(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = g - 8, -4*g + 1841 = 1829 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - -98. What is the remainder when v is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 4:56 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3455 - 4d?\nAnswer: -34a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 16, -0.1, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (6 - 43) + -23 + 45?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15122451 (base 6) to base 15.\nAnswer: a54b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 3*c**2 + 3*c - 1. Suppose -424 = 43*y - 51*y. Let i = y - 50. Give v(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -153*s**2 - 17*s - 17. Let q(m) = 38*m**2 + 4*m + 4. Determine 4*h(a) + 17*q(a).\nAnswer: 34*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.9 + -0.9. Let s = 0.5 - m. Let x = 0.3 - s. What is the nearest to 2\/9 in -5, x, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -9\/14*z**8 + 0 + 0*z**5 + 23\/12*z**4 + 0*z**3 - 11*z + 0*z**6 + 0*z**2 + 0*z**7. Find the third derivative of u(f) wrt f.\nAnswer: -4320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111101000011101 (base 2) to base 14.\nAnswer: -43233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2834244.3 months in years?\nAnswer: 236187.025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 2:31 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**3 + 13*k**2 - 2*k - 5. Calculate the remainder when 56 is divided by q(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44888 by 5611.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of ((-9)\/12*-5)\/((-2)\/(-136))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a04326a + 1?\nAnswer: -a043269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r = 4*r - 9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68609?\nAnswer: 19, 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-8) - 27\/(-4). Let s(u) = -2*u**3 - 26*u**2 - 4*u - 50. Let h be s(-13). Solve -2*x = -3*v - 3*x + p, 0 = -h*v + 2*x + 18 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, 2\/23, -0.3, -1\/9, 1, -3 in decreasing order.\nAnswer: 1, 1\/11, 2\/23, -1\/9, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 33. Let i(h) = 2*h**2 + 3*h + 1. Let n be i(w). Factor 15*k**2 + n*k**3 + 16*k**2 - 25*k**2.\nAnswer: 3*k**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11203*x + 0*x**2 + 0*x**2 - 3*x**2 - 2 - 11561*x - 4*x**2 as m + k*x + w*x**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-3))\/(11\/(-33)). Suppose -3*c + 16 = m. Solve c*d + 15 = -5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/112 and 127\/7016646.\nAnswer: 56133168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -1844258*d**2. Let b(v) = -3*v. Determine y(b(h)).\nAnswer: -16598322*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000366041 to 6 dps.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -11*x. Let y(m) be the third derivative of m**5\/6 - 24*m**2 + 3. Give i(y(z)).\nAnswer: -110*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u. Let y(z) = z + 13. Let h be y(-8). Let q(b) = 3*b. Let l(k) = h*q(k) + 8*s(k). Let p(m) = -20*m. Give p(l(f)).\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - -4. Sort 2\/7, 0, 2\/11, y in descending order.\nAnswer: y, 2\/7, 2\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 6.4. Let d = c + 3.4. Which is greater: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259*k + 261*k + 5*b = -17, -3*k + 5*b - 13 = 0. Is k at least as big as 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-813*m**2 + 7*m**3 + 4*m**4 + 2 + 813*m**2)*(-2*m - m - 16*m).\nAnswer: -76*m**5 - 133*m**4 - 38*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z + 9. Let q be m(-4). Suppose c + 43 = 2*c - q*d, c - 25 = -4*d. Let g = c - -3. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(3\/2)*l)\/(l*l\/(l*l*(l\/(l*l**(-5)\/l))\/l*l)))\/(l**(2\/7)*l**5))\/(l**(-4)\/(((((l\/l**0)\/l)\/l)\/l*l)\/l)*l*l*l**(1\/5)*l**6) assuming l is positive.\nAnswer: l**(-209\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 29, -3, -59, -145?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1705321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/34 or -35.107?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 3*f**2 + 4*f - 1. Let y = 18 + -21. Calculate i(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33136 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 445284 and 1335852.\nAnswer: 1335852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 227\/3 - 75. What is the closest to -1\/3 in l, 1\/3, 6\/11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001847 to four dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence faf when three letters picked without replacement from xaffc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 + -3.8. Let j = x - -11. Let f = j + -3. Put f, 0, 3\/4 in increasing order.\nAnswer: 0, 3\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127097197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 12*h**2 - 36*h + 62. Is 14 a factor of l(25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18*-32728\nAnswer: 589104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4092 + 4168. What is the remainder when u is divided by 69?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 12:45 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 622*g + 1357. Calculate the remainder when 2481 is divided by k(-2).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z. Let h be g(-2). What is the first derivative of 4 + h*m + 5*m - 5*m wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -813 or -824?\nAnswer: -813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.8 bigger than -0.12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 169319835 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 1255*x + 1 = -1254*x, 4*x = n - 17 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 7\/33912 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**5\/15 + 4*m**2 + 3. Let y(u) be the first derivative of 0*u - 3\/2*u**2 - 2. Calculate y(d(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424 is divided by 85.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 107590 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-39 - (-2 + 19)) - 14?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 148*f**3*t + 28993*f**3 - 403*f**2*t + 110*f**2 + 2*t - 1 wrt f?\nAnswer: 888*t + 173958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/256 and 103\/4800.\nAnswer: 19200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 38. Let p be (-20)\/24*(-16)\/s. Is 1 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 14368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1478462 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 206.73 and 380.0549.\nAnswer: 586.7849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**5\/120 + 5*p**4\/8 - p**3\/3 - p. Let c(f) be the second derivative of o(f). What is the tens digit of c(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of k**3\/3 + 5*k**2\/2 - 9*k + 1. Let q = 477 - 485. What is the units digit of w(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21345769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -12*g**2 - 65*g - 91. What is n(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 2)*-2 + 23. Suppose 3*a + 3 = d. Find the third derivative of -2*n**a + 4*n**3 - 4*n**3 + n**2 + 0*n**2 wrt n.\nAnswer: -240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -113 - 155 + 75*y**2 + 266 - 220 wrt y?\nAnswer: 150*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9542669 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kotk when four letters picked without replacement from {i: 1, t: 6, o: 1, k: 3, z: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -5\/12, 88, -6\/5, 2\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -s - 2*s + 2*b, 5*b - 61 = -s. Suppose -49*r - 3 = -s*r. Which is smaller: r or 8\/21?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2355\/2 + 1223. Let j = -47 + y. Which is the nearest to j? (a) 2 (b) 1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 - -88. What is the third biggest value in j, 2\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -5*b**6\/6 - 9*b**5 - 145*b**4\/4 - 215*b**3\/3 - 75*b**2 - 40*b + 156. Determine y, given that f(y) = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**2\/6 - 65*z\/3 + 3404 = 0?\nAnswer: -222, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d - 4 - 31. Let b(h) = -141*h + 692. Let w be b(5). Sort 4, d, w.\nAnswer: w, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-16)\/(-192) + 2254\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -15*m**2 - 3. Let v(i) = 7*i - 5. Let o(g) = -8*g + 6. Let j(h) = 5*o(h) + 6*v(h). Give s(j(p)).\nAnswer: -60*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(8) + sqrt(800) + -1 + sqrt(8) - sqrt(8)) + 6*(5 + sqrt(98)*1).\nAnswer: 25 + 152*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l - 3. Let c(t) = -4*t + 7. Let a(i) = 14*b(i) + 6*c(i). Let f(h) = -3*h. Determine f(a(z)).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.512 plus 0.111421?\nAnswer: -9.400579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 424 - 178*q**2 + 179*q**2 - 549*q**3 + 550*q**3 as z*q + l + a*q**3 + i*q**2 and give l.\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -88 + 92. Let d(k) = -4 - 2*k - k**2 - z*k**2 + 0 + 4*k**2. Determine d(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/9*(-4 - -7). Let b(j) = -j + 7. Let g be b(l). Suppose -m + y + 1 = g, 4*m + y - 32 = -2*y. Solve -5*z = w - 2*w - 25, 30 = m*z - 2*w for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - y**3 + y + 3 - 2*y**2 + y + y**4 - 3 as g*y**4 + s*y**2 + i*y**3 + d + u*y and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -16*s - 76. What is i(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 10541185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 3*n + 192. Let r be (-16 - -16)\/(2\/(-1) + 0). Let f = n + r. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 4*r**2 - 10*r - 10. Let g be s(-2). Suppose 0 = -3*z + 2*z. Suppose z = -m - g + 55. List the prime factors of m.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + f**4 + 0*f**2)*(4*f - 3*f - 4*f) + f**5 + 2*f**5 - 4*f**5 + (4*f**3 + f**5 - 4*f**3)*(4 + 1 - 6) + 6763*f**4 + 77*f**5 - 6763*f**4.\nAnswer: 72*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/96*-42*(-22)\/429?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3646640 (base 7) in base 11?\nAnswer: 298a40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u - 66 = 0. What are the prime factors of u?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73 and 3147760?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 7 + 22 = 0. Let u be (-9)\/v*5*-1. Let c(q) = -q**3 + 2*q**2 + 3*q - 2. Calculate c(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 427 + n**2 + 410 + 416 - 1232 - 3*n**2.\nAnswer: -2*n**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**4\/7 + 2334*q**3\/7 - 3627*q**2 + 59874*q\/7 - 36816\/7 = 0. What is q?\nAnswer: 1, 2, 8, 767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(14\/(-7))*(-72)\/((-64)\/8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25\/157? (a) -6458 (b) 0.5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 289, 561, 819, 1057, 1269, 1449?\n\"Answer: -o**3 - o**2 + 282*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - 23)*(-1)\/(-2)*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 1453*c**5\/5 - 19*c**2\/2 + 7*c + 1046. What is the second derivative of s(i) wrt i?\nAnswer: 17436*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 230 + -234. Let q(w) = -7*w + 3. Let i(b) = -2*b - 1. Let o(h) = f*i(h) + q(h). Calculate o(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x. Let v(b) = 4*b - 884. What is s(v(q))?\nAnswer: -4*q + 884","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 2. Let q be p(0). What is the remainder when (26 - (-4)\/q) + 0 is divided by 31\/3 - (-2)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 6*m = -9. Suppose k - m = 13. Calculate the remainder when 69 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-2))\/((-116)\/240584*-34)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2866728.\nAnswer: 2, 3, 119447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) 0.3 (c) -2 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*a - 142, -38 = 4*w - 5*w - 3*a. Suppose -3*d - o + w = -2*o, -5*o = -5*d + 75. Suppose 5*b + 0 = d. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nncncnnccncn.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -1. Let i(u) = -13*u. Does 9 divide i(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bddddddbddd. Give prob of picking 2 d and 1 b.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*a = 15, -a - 9 = 4*u + 14. Let z be ((-411)\/u)\/(-3 - -2). Let j = -697\/10 - z. Which is smaller: j or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*i*k**2 - 5*i*u + i - 51*k**2*u + 6 wrt u?\nAnswer: -5*i - 51*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1413279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17404326?\nAnswer: 2, 3, 966907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, z: 1, v: 7}. Give prob of picking 2 v and 1 m.\nAnswer: 9\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -8. Let j be (2\/u)\/(3\/15). Solve -j = -5*w + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79 + -53. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -1\/4*a**4 - 2 + 0*a**2 + 9*a - 1\/3*a**3. Calculate the remainder when 25 is divided by j(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 51.21 and -1107391.\nAnswer: -1107339.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -308368, -616720, -925072, -1233424, -1541776?\nAnswer: -1850128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -146.300595 to zero dps.\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/33)\/((-26)\/858*-451)\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, n: 1, d: 4, a: 3, q: 10}. What is prob of picking 1 h, 1 d, and 1 a?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 39. Suppose 4*g = -7 - 5. Let z = g - -8. Calculate the least common multiple of m and z.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40849 - 11194 = 15*b. What are the prime factors of b?\nAnswer: 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9365.\nAnswer: 5, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 98 in 6, -1\/3, -2, -0.4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t - 367 = 2*q - 303, 3*t + 5*q = 12. Let k be -10*(2 + -2 - -1). Let c be 24\/k - 4\/(-10). Sort -4, c, t in descending order.\nAnswer: t, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/9))**(-47)\/(g*g**2)**(-2\/53))**(-2\/41) assuming g is positive.\nAnswer: g**(1334\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -31*f - 108. Determine v(-6).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 244 = 5*x, -5*x - f - 136 = -400. Let s be 1\/7 + (-963)\/(-21) + 5. Which is smaller: x or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/15 (b) -58\/23 (c) -4 (d) -56\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 6*g + 10*g - 24*g + 5*g. Let s(d) = -23*d**2. What is u(s(p))?\nAnswer: 69*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 15*a**2 + 41*a + 69. Let g(v) = -19*v**2 - 52*v - 88. Let n(k) = -11*g(k) - 14*q(k). Suppose -2*u - 8 = -3*y + 2*y, -5*y - 5 = 5*u. Determine n(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 4347*m - 4345*m. Solve -42*u - 25 = -m*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12 - 6)\/(3\/2). Is 55 - (12\/w - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 9591?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3520 and 40?\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6\/137 - 399\/274. Let l = -13.5 - -10. Let d = 0.5 - l. What is the second biggest value in i, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162, -306, -448, -588?\nAnswer: -726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13348355?\nAnswer: 5, 19, 71, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (-1205)\/(-45) - (-2)\/9. Let r = 56 - k. Suppose a - r - 77 = 0. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = r, -5*d + 8*d + 4*r - 61 = 0. Solve 4*i = -4*s + 4, -5*i = -0*i - 4*s - d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15333 - -15333. Put l, 1\/4, -667, -2, -0.4 in decreasing order.\nAnswer: 1\/4, l, -0.4, -2, -667","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3596 is divided by 68?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 112239360.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/3*d**2 - 106\/3*d + 2809\/3 = 0. What is d?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2704, -10414, -18124, -25834?\n\"Answer: -7710*i + 5006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 12. Let g(p) = -p. Let o(v) = 23*v + 1. Let n(t) = 5*g(t) + o(t). What are the prime factors of n(w)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4 - 90\/24.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1494 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.3 - -0.3. Let o = -40.3 - -40. Which is the nearest to 2\/5? (a) r (b) o (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q**3 + 10*q**2 + q - 5. Let b(g) = g**3 + g**2 - 1. Let o(p) = -2539*p + 7622. Let v be o(3). Calculate v*b(w) - i(w).\nAnswer: -w**3 - 5*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 159, 399, 639, 879?\n\"Answer: 240*h - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -5*j**2\/2 - 1275. Let g(f) = -54*f**2. What is g(k(t))?\nAnswer: -1350*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1418*a**2 + 2*a**3 + 57437 - 114882 + 57442 in the form u*a + v*a**2 + t + f*a**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 149473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -1\/2, 2\/15, 1, -6, -4\/25 in increasing order.\nAnswer: -6, -1\/2, -4\/25, 2\/15, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 10*m**2 + 36*m + 16. Is h(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -21\/2 (b) 1 (c) -0.036\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -1. Suppose -3*o - 52 = -4*v - 0*o, 0 = -2*v - 3*o + 8. Calculate the least common multiple of v and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19790.4 and -144.8.\nAnswer: -2865649.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i. Let u(p) = -p**2 - p + 3. Let c(l) = -u(l) + w(l). Let k be 3\/2*12\/9. List the prime factors of c(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 9677.26?\nAnswer: 4838.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 9) to base 11\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -k + 10. Let f(m) = -4*m + 2*m + k - 3. Calculate f(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.97 + 0.97. Let t = -3.1 - -3. Put t, m, 0 in descending order.\nAnswer: 0, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 + -54)\/(-3 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010110111011 - 11001001110?\nAnswer: -1110000001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 2*o + 4. Let c(n) = -2*n**2 - 5*n - 9. Suppose 3*r + 3*i = 0, -5*r + 52 = -2*i + 38. Determine r*c(l) + 5*x(l).\nAnswer: l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2 + 4*c + 5 - 3*c. Let g be t(4). Solve -g*x = -3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 412972 rounded to the nearest 10000?\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + (-9)\/6)*2. Suppose 4*w = 2*g, -w = -u*g - 3*w + 16. What is the remainder when g is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11660186 is divided by 11660158?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 3*n - 547 = -568, -3*d + 7*n = -69 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) 1 (b) -0.1 (c) -0.08 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 8 = -7*o. Put o, 15, -5 in descending order.\nAnswer: 15, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -434, -890, -1356, -1838, -2342, -2874, -3440, -4046?\n\"Answer: -h**3 + h**2 - 452*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 2*g**2 - 78*g + 275. Let l be z(4). Sort 4, l, 4784, -1 in increasing order.\nAnswer: l, -1, 4, 4784","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-4) + (-2)\/8. Let l(d) = 16*d - 1 + 15*d - 24*d. What is l(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 0.5 (c) -2\/46785 (d) -2\/3 (e) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 283.\nAnswer: -2\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 2:55 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 4*h + 3*f - 64, -f - 22 = -h. What is the derivative of 7*a**4 + 3 - 16 + h wrt a?\nAnswer: 28*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 1359*s**3 + 724*s**2 - 68*s + 23. Let h(w) = 453*w**3 + 241*w**2 - 24*w + 8. Let o(p) = 17*h(p) - 6*x(p). What is the third derivative of o(z) wrt z?\nAnswer: -2718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1623 or 1266?\nAnswer: 1266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 4 + 2)*(3 + 0 - 2) - 4 + 1 + 1 + 1 + 2 - 4)*(-w**2 + w**2 - 4*w**2).\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.8 + -1.9. Let p = -76 - -85. Suppose -p*d = -14 + 5. What is the nearest to r in d, -1\/7, 11?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2140466.8056 take away 7?\nAnswer: -2140473.8056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -7*f - 4. Let d(w) = 3502851*w**2 + w. Calculate m(d(a)).\nAnswer: -24519957*a**2 - 7*a - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/5*x**2 - 4\/5*x**4 - 2\/5*x**5 + 14\/5*x + 4\/5 + 4\/5*x**3.\nAnswer: -2*(x - 2)*(x + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 222191*i**3*v**5 - i**3*v + 2*i**3 - i**2*v - 1087*i*v + 14*v wrt v?\nAnswer: 4443820*i**3*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 12083285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 2\/3*h**3 + 1\/2*h**4 - 58 - 61\/2*h**2 + 0*h. What is the second derivative of v(a) wrt a?\nAnswer: 12*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -130 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**6\/1440 + f**5\/720 + f**4\/36 - f**3\/6 - 549*f**2. Suppose h(j) = 0. What is j?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201 - -1?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -63 + -433 + 535?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oouhuuooouuuhuooou. What is prob of sequence ouu?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - g**2 - g - 4. Let b = 9 - 4. Suppose -b = 3*d - 17. Let p(k) = -k**2 + 3*k + 4. Let h be p(d). What is j(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -731*j + 46*j**3 - 25*j**3 + 0*j**3 + 734*j + 11*j**3.\nAnswer: 32*j**3 + 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 28 = -3*z, 5*z = -3 - 2. Find the third derivative of 4*c**5 - 3*c**2 - 6*c**o + c - c wrt c.\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**5 - 6*c**2 + 6*c**2)*(11 + 4 - 33).\nAnswer: 54*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, x: 3, u: 1, y: 4, v: 6, n: 3}. Give prob of sequence vn.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*l - 5*m + 88 = 0, -79 = -l - 2*m. Let c = -109 - -218. Let r = c - l. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**2\/11 - 60008*v\/11 + 60030 = 0.\nAnswer: -30015, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -2*n**3\/3 + 22. Let u(z) be the third derivative of z**4\/8 + z**3\/2 + 81*z**2 - z. Give v(u(f)).\nAnswer: -18*f**2 - 36*f - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-7)\/7)\/((-1)\/(-14)). Let i = 24 + c. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + 0*t**2 + t**2)*(t**2 + 0*t**2 - 2*t**2) - 2*t**2 + 2*t**2 + 4*t**4 - 49*t**2 - 13*t**4 + 49*t**2.\nAnswer: -10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2085.5037 months?\nAnswer: 17.3791975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8775472153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 13*m - 6. Let l be v(-18). Suppose -48 - 15 = -3*o. What is the highest common factor of o and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g. Suppose 4*z = -4*d - 4, -1 + 24 = z - 5*d. Let b(c) = c. Let w be b(z). Let t(m) = -5 - m + 2*m + w. Give t(s(o)).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 3. Let z(q) = 19*q**2 + 3*q - 8. Let u(m) = -94*m**2 - 16*m + 41. Let r(h) = 2*u(h) + 11*z(h). List the prime factors of r(a).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 213, 427, 641?\n\"Answer: 214*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 151286 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**4\/s**8)**(-2\/9))**(-1) assuming s is positive.\nAnswer: s**(-8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69)\/(-63) - (-11)\/(264\/(-40))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 8:08 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.27 - 2.27. Let t = -12418\/23 - -540. Sort r, 2\/15, t in increasing order.\nAnswer: r, t, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/13 in 0.2, -3, 249, -0.37, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*x + 8 - 8)*(16*x + x**2 - 19*x + 7*x**3 - 2*x**2) as q*x**2 + o*x**4 + d + n*x + t*x**3 and give q.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 173 + -169. Let w = -0.8 - -0.5. Let g = w - -5.3. What is the closest to -0.1 in g, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 d when four letters picked without replacement from {k: 3, l: 8, d: 3, x: 3}.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 808077710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -6 - -3 - (0 + -165) and 39.\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a decade in months?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21753938*o**6*z - 38*o**2*z + 2948*z wrt o?\nAnswer: -2610472560*o**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*l**3 - 513*l**3 + 302*l**3.\nAnswer: 64*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.084403 centuries in months?\nAnswer: 10901.2836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16443852.\nAnswer: 2, 3, 1370321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 + -142. Let h = j - -81. Solve r + h*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5093 < -5862?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 3*q + 3. Let g = 0 - 4. Calculate k(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -7, -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 8*i**2 + 13*i + 5. Let b be u(9). Solve -b*h = -38*h - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23163, -23161, -23157, -23151, -23143, -23133, -23121?\nAnswer: -23107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/5, -14\/5, 5, -0.3, 479?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 16*p**2 + 15*p - 7. Calculate i(15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (-2 - (15 + -16)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 0*j + j + 4 - 11. Let k(n) = -2*n + 11. Let l be k(3). Give f(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -481*a + 3022 + 3768 - 56 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-2)*(-143)\/((-17303)\/132)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 5:25 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by -89586?\nAnswer: -13\/44793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f = -20. Solve 0 = 4*m - 3*y + 13, -f*m + 12 - 5 = 4*y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 6)*(-3*d + 2*d + 2*d + (-3 + 3 - d)*(2 + 4 - 12)).\nAnswer: 63*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 23.1. What is the smallest value in q, -0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 4. Let n be k(2). Suppose 0 = 5*o + r - 1618, -5*r = n*o + 3*o - 1610. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*z**2 + 3*z**2 + 97*z**5 - 99*z**5 wrt z.\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 170*f + 47. Suppose -b + 0*h + 4 = 2*h, 4*h = -b + 2. Is t(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 120 = -3*j, -11*l + 9*l + 4*j - 48 = 0. Let a(o) = 2*o**3 + 50*o**2 + 7*o + 9. Is a(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1562\/(-13) + 12\/78. Let l = -105 - y. Let b = l + -16. Which is bigger: -13 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -a - 5*k + 11, -4*a = 5*k - 23. Let c(b) = 11*b**a + 8*b**2 - 21*b**2 + 6*b**2. Let j(y) = -11*y**2. What is j(c(l))?\nAnswer: -176*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37175401*r - 263818104 with respect to r.\nAnswer: 37175401","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25 - d**2 + d - 2*d - 11*d**3 + 24 - 3 + 3 + d**3 + (-3*d**2 + 3*d**2 + d**2)*(-2*d - 3 + 3).\nAnswer: -12*d**3 - d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/4 + 1\/4*r**2 - r = 0 for r.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231117 a multiple of 396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 18952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2408069*l**2*p**2 - 14*l*p - 1236*p**2 - 41 wrt l?\nAnswer: -4816138*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 166229.\nAnswer: -3\/166229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 16. Which is the closest to -12? (a) l (b) -4\/9 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4*(sqrt(133)*-2 + sqrt(133)) - (sqrt(133) - (sqrt(133) + sqrt(133)*-1*6) - sqrt(133))))\/(sqrt(63)\/(sqrt(9)*3) + sqrt(175)*3).\nAnswer: -3*sqrt(19)\/46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 13 + 161*t**2 - 9 - 17*t - 160*t**2.\nAnswer: t**2 - 17*t - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -672, -1573, -2718, -4107, -5740, -7617?\n\"Answer: -122*m**2 - 535*m - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1664 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 10 - 3) + 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 12*y**2 + 13*y + 12. Let f be o(11). Suppose 5*a = -25, b + b - 4*a - f = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16597869\/253 - -65604. Calculate the common denominator of -33\/529 and t.\nAnswer: 5819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 2 (b) -4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -10*k + 0 + 1\/2*k**2 + 1\/6*k**3. Let n(y) = y**2 + 3*y + 6. What is -n(i) + 3*v(i)?\nAnswer: -i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o. Let k(u) = 182*u - 64. Let f(j) = 19836*j - 6960. Let g(c) = -4*f(c) + 435*k(c). Calculate v(g(p)).\nAnswer: 348*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 4000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + -2)*1)**2 + 3*(1 + sqrt(1872)).\nAnswer: -12*sqrt(13) + 1879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x - 1. Let v be h(-3). Let q be (-9)\/11 - v\/(-22). Is (1*57)\/3 - q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -z**8\/168 - 79*z**7\/105 + 5*z**5\/6 + z**4\/12 + 27*z**2. What is the third derivative of x(y) wrt y?\nAnswer: -120*y**2 - 3792*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - 28. Suppose i*y - 26 - 48 = -3*o, 0 = 3*y + o - 53. Calculate the remainder when 82 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-147)\/(-28) + -4 + (-20)\/16. Solve -6*v + 5*v = q for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -727*27.\nAnswer: -19629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 4*t + 3*t)*(-1 + 4 - 5)*(-2 - 6 + 3)*(20 - 10 + 24) - 4*t + 5*t - 2*t.\nAnswer: 679*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63299294*h**2 - 620*h + 70727 wrt h?\nAnswer: 126598588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 5114\/5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 3*f**2 - f - 2. Let s be b(2). Suppose s = 2*v - v - 7. Does 12 divide (-3)\/v - (-675)\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 167*x + 11166. Give m(-70).\nAnswer: -524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -2\/3 (b) 0.03 (c) 59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*s - 8. Let f(h) = h**2 - 1. Let g(i) = 4*i**2 + 3*i - 2. Determine s*g(v) - 2*f(v).\nAnswer: 2*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**3 + 3*h**2 - 5 - h**2 + h**2 - h**2 in the form u*h + y*h**2 + b*h**3 + s and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 24 = 5*y, 4*m + 27 = -3*y + 3. Let r = 107 + -112. Suppose 2*v = 3*v - 4. Sort r, v, m in decreasing order.\nAnswer: v, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 21, -13, -2131?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1841648?\nAnswer: 2, 31, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/(-3))\/(271672\/90552 - 3)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -10, 22, 62, 104, 142, 170, 182?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 980 and 532?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 8*k**2 - 6*k + 3. Let t(o) = o - 5. Let r be t(5). Suppose -q = 4*q + y + 34, r = 4*q - 3*y + 31. Let h be u(q). Is h equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d*u**4 + 64*d*u**2 + 311*d wrt u?\nAnswer: 8*d*u**3 + 128*d*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (768\/480)\/(4\/10). Solve -3*h - l = -2*h - 5, -r*h + l + 5 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -1 + 16*m**2 + 3896*m**3 + 1 - 3914*m**3. Let g(y) = -y**3 + y**2. Give 3*a(f) - 48*g(f).\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1450074 or 76?\nAnswer: 1450074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*b*f**3*g - 160*b*f**2*g + f**3*g - 2*f**3 - 116*f**2*g wrt b.\nAnswer: -15*f**3*g - 160*f**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -6, -16 in descending order.\nAnswer: 3, -1, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*2\/32*(-24)\/(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 425\/(-2040)*(18\/10)\/(-3).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1697*d**2*m**3 + d**2*m**2 - 30424432*d**2 + 2*d*m**3 - 782*m**3 wrt m.\nAnswer: 10182*d**2 + 12*d - 4692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(88)*4 - 5*-1*sqrt(88))*5)\/((sqrt(288) - ((sqrt(288) - 5*sqrt(288) - sqrt(288)) + sqrt(288))) + sqrt(648)*-3).\nAnswer: 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733908 a multiple of 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 886 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 25899 (base 11) to base 7\nAnswer: 212624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53261?\nAnswer: 13, 17, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -54412 * -0.74\nAnswer: 40264.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8136.092 times 0.1?\nAnswer: -813.6092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 8\/3*w**3 + 1\/10*w**5 - 4*w - 5\/6*w**4 + 0 - 4*w**2. Let f(t) = 0. Calculate t.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7673, -15295, -22839, -30293, -37645?\n\"Answer: 2*l**3 + 27*l**2 - 7717*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -589 - -594. Suppose 3*o = 5*z - 4 + 25, 0 = 2*o - a*z - 9. Solve 0*h - o*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t - 327. Let s be u(0). Let d = -9021 + 126241\/14. Find the common denominator of s\/(-24) - 1 - 3 and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 7:03 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 177677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5310 (base 12) to base 6\nAnswer: -110020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 u when four letters picked without replacement from {u: 5, v: 10, o: 3, d: 2}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -6*o + 5*o. Suppose 3*c + 5*c = -o. Let l(i) = 2*i**3 - i + 6. Let p(h) be the first derivative of -h - 1. Determine c*p(s) - l(s).\nAnswer: -2*s**3 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 281.0924ml in litres?\nAnswer: 0.2810924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 1 + 4405*s - 4389*s to q*s + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -14*l**2 - 5*l + 19. Let v(x) = 8*x**2 + 3*x - 11. Let s(w) = 5*n(w) + 9*v(w). Let b(m) = -3*m**2 - 4*m + 7. What is 3*b(g) + 5*s(g)?\nAnswer: g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/9 (b) 506 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 o when three letters picked without replacement from {m: 4, w: 3, o: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*n - 52*n + 6*n**2 + 34*n + 2 to z*n**2 + d + j*n and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x - 6*x + 3*x - 22*x to the form c + u*x and give u.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/11 + 34328*v\/11 + 34645440\/11.\nAnswer: -2*(v - 18120)*(v + 956)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and 0.008.\nAnswer: -0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 0.4501?\nAnswer: -3.4501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.05 and -7.916.\nAnswer: -7.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.7 + -8.3. Let z = -51 - -36. Let s = z + 12. Which is the third biggest value? (a) s (b) d (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 731*r**2 + 507*r**2 + 82*r**2 + 240*r**2.\nAnswer: 1560*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -25, -0.5, 4, -2\/29 in decreasing order.\nAnswer: 4, 3\/2, -2\/29, -0.5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k - 90 = -10*k. Let a = -5 - k. What is the remainder when 24 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81100 times -0.5?\nAnswer: 40550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -190036734*p**3*t**3 + 236907887*p**3 wrt t.\nAnswer: -570110202*p**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -4. Let l = -2.3 - 0.7. Let u = -3.2 - l. Which is the second smallest value? (a) q (b) 0.5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*g = -9*g + 17, 5*n + 2*g = 200. Which is bigger: n or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 8580*r - 1209662. Determine p(141).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20439 and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.033028 take away -0.1213174?\nAnswer: 0.0882894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u + 13. Let x be c(-4). Calculate the greatest common divisor of 25 and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*i - 6. Let v be 7 - 153\/12 - -5 - (-22)\/8. Put i, -1, v, 7 in descending order.\nAnswer: 7, v, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1297 divide 1912669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**2 + 2347*p - 1318296 = 0.\nAnswer: 931, 1416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnkknnknnk. What is prob of picking 1 n and 1 k?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b4 + 37?\nAnswer: 12b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 + 507*u - 2899. Give z(6).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -1307*z. Let p(g) = 2831*g**2 - 938*g**2 - 946*g**2 - 944*g**2. Determine p(y(t)).\nAnswer: 5124747*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22313, -22318, -22323, -22328?\nAnswer: -22333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0513119 rounded to 3 dps?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(2057) + -1 + sqrt(68)*-1 - (sqrt(85)\/(-2*sqrt(180)))**2*-2).\nAnswer: -127\/72 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19\/(247\/10842) + -2.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10024 and 172088?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/23044 and 13\/2.\nAnswer: 23044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000023462 to 7 decimal places.\nAnswer: 0.0000235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47927389*s**2 - 2*s - 83198159 with respect to s.\nAnswer: 95854778*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4 - 4 - z. Suppose 24 = 4*q + 4*p, -23 = -4*p - 7. Let u(t) = -t + 3*t**q + t. What is u(w(r))?\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -114 + 116. Suppose 421 = h*j - 1315. List the prime factors of 1\/(1 + (-864)\/j).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 276540\/115225 + (-1 - 626\/440)?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03745815557 rounded to four decimal places?\nAnswer: -0.0375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 11*y - 19. Let w(t) = 32*t - 54. Let f(u) = 17*q(u) - 6*w(u). What is f(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.04721178 and -0.014?\nAnswer: 0.06121178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1120.57 to the nearest 10.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -219*i**5 - 148*i**4 - 3*i**3 + 903*i**2 + 6*i + 2?\nAnswer: -13140*i**2 - 3552*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*w**2 + w - w**3 + 58*w**2 + 23*w**2 - 4*w**4 - w wrt w.\nAnswer: -96*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*a + 123 - 282 + 133 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*a = -88, -4*a = 4*v - 9*v + 84. Suppose t + h = 21, -3*h = 2*h - v. Calculate the highest common divisor of 17 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111310800 divided by 22262160\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 1:48 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/704 and 67\/331232.\nAnswer: 662464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 529365377?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -24, -25, -24, -21, -16?\n\"Answer: c**2 - 4*c - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 973218 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 6 - 9 - (-9 + (-18 - -18))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 8 = -3*c + 37, 25 = 3*c - 5*k. What is the first derivative of -4 - 9 + c - 63*w wrt w?\nAnswer: -63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44391008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 7*w. Let r be c(7). Suppose r = g + 3, -4*o + 4067 = -g - 0*g. Suppose -7*k - k + o = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4072783, 4072781, 4072779, 4072777?\n\"Answer: -2*a + 4072785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/3 and -40\/409.\nAnswer: 1227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*g + m, -g + 4 = -4*m + 25 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**2\/2 - 261*h\/2 - 2835 = 0. What is h?\nAnswer: -18, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 430902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - (1 + -3)\/2. Let q = -14 + y. Let v = 21 + q. Solve 0 = -2*f + v*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670790 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 1. Let q be r(-4). Suppose 0 = -p + 2*n + 40, n = -q*p - 27 + 194. Let i = p + -23. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 211*n - 7086. Let t be v(34). Let r be 2*(0 - 22\/(-4)). What is the greatest common divisor of t and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 85.\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*(a\/(a**(-5\/7)*a))\/a*a\/(a\/(a**(-6)*a)))**(4\/31) assuming a is positive.\nAnswer: a**(-92\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/3 and 41\/38887900.\nAnswer: 116663700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2146 (base 8) to base 16\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7810235.\nAnswer: 5, 19, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -597, -1, 5, -45, 15.\nAnswer: -597, -45, -27, -1, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*s - 92 - 133 + 73 = 0 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -303?\nAnswer: -151.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l - 3*l + l)*(1 + 0 - 3)*(-32*l - 134*l - 258*l) to y + f*l + w*l**2 and give w.\nAnswer: -1696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -172, -332, -492?\n\"Answer: -160*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, r: 1, s: 1, u: 6, d: 5}. What is prob of sequence udu?\nAnswer: 25\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -332*h + 253*h - 213 + 4163 for h.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -94 + 97. Solve 5*v + 1 = t, -5*t + s*v = -4*t - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3100 - -12399\/4. Which is the nearest to y? (a) -3 (b) 1 (c) -5 (d) 5.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-4))\/(1\/240). Round s to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 28.1. Let p = 0.1 - j. Let d = -5 - p. Is d > -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4764089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 184 - 9*l**2 - 23*l**2 + 133 - 209 + 195 in the form j*l**2 + d + g*l and give j.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*a = 5*c - c + 56, -2*a + 268 - 267 = c for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*h - 28. Let o = 8 + -13. Let c be (-1 - -4) + o\/5. Solve c*w - 5*s - h = -0*w, 2*w - 4*s = 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -33. Suppose -o - 12 = -3*u - 4, -d*u = -o - 18. What is the smallest common multiple of o and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l\/(l*l**(-5\/7))*l)*l*l))\/(l*l**(1\/21)) assuming l is positive.\nAnswer: l**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 3*c + 108, 156 = 3*a + 4*c - c. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 15) in base 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 70805.528, -1\/9 in descending order.\nAnswer: 70805.528, 5, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*h - 2. Let j(m) = 30*m - 1. Let b be j(h). Let n = 46 - b. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394054 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a + 3*a - 4*a)*(539 - 1876 - 18162) in the form y + t*a and give t.\nAnswer: 58497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*t**5 - 79*t**4 + 17*t**2 + 19*t wrt t?\nAnswer: -240*t**2 - 1896*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 2*q + 2*q)*(260 - 153 + 219).\nAnswer: -326*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -201*(4 + (-9 - -4)). Suppose -j = -i - 2*l + 67, 2*i = 4*l + 536. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 7*c + 5*c = -54, 0 = 3*c + 3. Let j(k) = -4*k - 2. What is the remainder when j(-4) is divided by z*4\/(-28)*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -6. Let h = 11.1 - l. Let q be (-1 - -1) + (-16)\/20. Sort -2\/5, h, q in increasing order.\nAnswer: q, -2\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -8 (b) -2\/17 (c) -2 (d) -0.2 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 c when three letters picked without replacement from {c: 3, j: 5}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 141 = 4*t - 252, 5*t - 522 = 4*m. Let d(g) = -t + 102 + g. Let u(f) be the second derivative of -f**4\/6 + f. Determine d(u(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 - 18. Let v = -18 + r. Which is the closest to 1? (a) 0.2 (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7745617203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 257*t + 5897. List the prime factors of w(115).\nAnswer: 2, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 6*r - 6*r)*(r**2 + r**2 - 5*r**2)*(-r + 0*r - 2*r).\nAnswer: -27*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**3 - 6*p**2 + 2*p + 13. Is v(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j**(-4\/15)*j))*(j\/(j**(-7)\/j))\/j*j)\/(j*j**21*j**6\/j) assuming j is positive.\nAnswer: j**(-259\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 2*u. Let j be f(0). Solve j = 2*w - 10 + 12 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = q - 76. Let p be (-48)\/84 - (-2676)\/28. What is the greatest common divisor of q and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -465, -586, -701, -810, -913, -1010?\n\"Answer: 3*n**2 - 130*n - 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6230 and 5505184.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 9:58 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 0*y - 13\/6*y**4 - 8\/3*y**5 - 199*y**2 - 2\/3*y**3 + 0. Find f, given that a(f) = 0.\nAnswer: -1\/5, -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 671 bigger than 672?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 3*h**5\/20 + h**4\/24 + h**3\/3 - h**2. Let k be u(-5). Suppose -m - k = -2*y, -2*y = y - m - 334. Does 16 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.504 * 6553\nAnswer: 3302.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*g + 20 = 0, 0 = 4*r + g - 24 - 34. What is the highest common divisor of 2 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7747544533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 1092. Let x(b) = -14*b + 3. Let v(z) = 23*z - 5. Let i(a) = 6*v(a) + 10*x(a). What is i(y(m))?\nAnswer: 2*m + 2184","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 748 + 244 - r + 6*r.\nAnswer: 3*r - 504","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67126325 and 8575.\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 540 = -43*s. Calculate the remainder when 161 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**6\/120 + q**5\/30 - q**4\/12 + q**3\/2 - 6*q**2. Let l be g(-3). Suppose k - 4*k + 3*x + 21 = l, 13 = k + x. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44805 and 1123730.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 341*z + 3669. What is t(-14)?\nAnswer: -1105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, 2\/43, -1, -12, -967, 5?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 - 2*j**2 + 5*j**2)*(j**2 - 4 + 4) - j**4 - 2*j**2 - j + 2*j**2 + (-5*j**3 + j**3 - 17*j**3)*(2 - 2 - j).\nAnswer: 22*j**4 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 11*n**2 - n + 17. Suppose 0 = -5*g + g - 92. Let f = -13 - g. Calculate the remainder when a(-11) is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -359.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 347 + -214. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 o when two letters picked without replacement from {d: 3, a: 4, e: 2, o: 8, g: 2}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/68504 and -97\/1760.\nAnswer: 15070880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 5 + 5)*(2*j**2 - 4*j**2 - 3*j**2) - 2592*j**3 + 3166*j**3 - 2*j**2 + j**2.\nAnswer: 584*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5630.1 and 161627?\nAnswer: 167257.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90.224 + 0.224. Let i = t + 90.6. Let k = -0.59999999 + i. Round k to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20327115541*r**2 - r - 20327115539*r**2 + r.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-14)*(-28)\/6)\/(10483\/(-209660))\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 1:37 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/(h**(-3\/25)*h*h))*h*h*h**(-24)*h*h*(((h\/(h**0*h))\/h*h*h)\/h*h)\/h*h*h*h*h*h*h\/((h**(-16)*h)\/h) assuming h is positive.\nAnswer: h**(97\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-2 + 10 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/255 and -59\/1105?\nAnswer: 3315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (-2 + (sqrt(17)*1 - sqrt(17))) - sqrt(17))**2 + (sqrt(17) - (sqrt(68) + -2)).\nAnswer: -sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1742.99998905 - 1743. Round v to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 5*p**2 - 9*p - 9. Let y be q(-2). What is the remainder when (72\/(-10))\/(1\/(-5)) is divided by 27*(-2)\/y - 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a = -6*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 250418650 to the nearest integer?\nAnswer: 15825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -u**5\/20 - u**2. Let h(k) be the second derivative of 0*k**3 + 0 - 1\/12*k**4 + k + 0*k**2. Calculate s(h(g)).\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 72, 180, 366, 636, 996?\n\"Answer: r**3 + 33*r**2 + 2*r + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 696 + -66?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 286\/(-13) - -1. Let r(h) = -2*h**2 + 2*h + 2. Let u be r(2). Sort -5, 3, n, u.\nAnswer: -5, u, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b4b72 (base 12) to base 6.\nAnswer: -14223422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5464 * -0.35.\nAnswer: -1912.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*(-1 + 4 + -4). Suppose 2*m = v*m - 57. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -7 + -3 - (-1 + 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -495, -496, -497?\nAnswer: -498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71655102 divided by 6.\nAnswer: 11942517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*t = 393, 4*j = 5*t + 60 + 1470. Let g be ((-176)\/j)\/((-2)\/20) + -5. Which is the closest to -0.1? (a) -3 (b) 0.7 (c) 0.5 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81578 = 630*j + 92918 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t**2 - 3*t + 3. Let p(q) = -q**2 - q + 1. Let k be (2\/(3 + -1))\/1. Suppose -x + 7*x = -18. Calculate k*b(l) + x*p(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 10*i**2 + 7*i + 6. Let o(k) = 22*k**2 - 17*k - 13. Give 2*o(v) + 5*s(v).\nAnswer: -5*v**3 - 6*v**2 + v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-144) - (-65)\/(-51) - (-3)\/2?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(77)*3 + sqrt(77)) - sqrt(77))\/(sqrt(891)*-2) - (-3*(2*sqrt(84) + sqrt(84)))\/(sqrt(48)*-1))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 3*h + 2. Suppose g - 6 - 4 = 0. Suppose 5*x + g = -0*x. Let y be o(x). Let s(i) = -i + 5. Give s(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 363\/4 + -91. Let y = 94 + -96. Put 0.4, y, i, 0 in ascending order.\nAnswer: y, i, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103335212.\nAnswer: 2, 347, 74449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(1539)*2 - (-1 + 1*2*sqrt(475)))**2.\nAnswer: 124*sqrt(19) + 73037","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8298, -16652, -25006?\nAnswer: -33360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**1)**9\/(c*c**(-8)*c*c**(-1\/14)) assuming c is positive.\nAnswer: c**(463\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*g - 1050 = -68*g. Which is smaller: g or -774\/23?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 5) to base 16.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -952 divided by -28?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1182 is divided by 235.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(605) + ((0 + sqrt(605))*3 - sqrt(605)))**2 + (1 + sqrt(605))*2)*-2.\nAnswer: 176*sqrt(5) + 43576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -158, -18, 122, 262, 402, 542?\n\"Answer: 140*i - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03283 and 33.\nAnswer: -1.08339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2700272579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13711*d**4 + 17*d**3 + 13*d**2 - 299639*d - 45 wrt d.\nAnswer: 164532*d**2 + 102*d + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 429 a factor of 1658085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -12.919 (b) -0.5 (c) -2\/9 (d) 2 (e) -23 (f) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 34*w**3 - 2*w**2 - 5*w + 7. Let j be a(3). Is 5 a factor of -3 - (j\/(-14) - 2\/7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -0*r - 64. Suppose -6*a + 46 = -20. Let o = r + a. Calculate the remainder when o is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -3 - 8\/(-2). Suppose -c*d = -2*d. Let r = 1.2 + -1. Is d > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ec01 (base 15) to base 7\nAnswer: -265426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*x - 2*x = -43290, -x = -5*u + 216527. What are the prime factors of u?\nAnswer: 2, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 - 5779*d - 1 - d**2 - 2*d**2 + 6066*d.\nAnswer: -d**2 + 287*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1707.\nAnswer: -1710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-48)\/(-15))\/(-4)*(-10)\/4. Solve -2*f + 0*f = -n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 258*k - 40*k + 78*k - 40*k to the form t + o*k and give o.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, g: 4, i: 2}. Give prob of picking 1 b and 1 g.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 9 = -2*p, 2*p + 9 = 3*c. Let r be c - 5 - 640\/(-164). Let q = 118\/369 + r. Which is bigger: q or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w. Let f(x) = 5*x**2 + 3. Let i(z) = 3 + 2 - 2*z**2 + 5*z**2 + 7*z**2. Let t(b) = 5*f(b) - 3*i(b). Give l(t(n)).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 22*v**2 - 164*v - 43. Determine d(-7).\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 3\/12 - -1)\/((-745)\/894). What is the closest to -2\/13 in -2, 18, y, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 23.56. Let j = m - 0.06. Let q = 20.9 - 21. Which is the closest to q? (a) j (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-2))**(-2\/29))**(-6))**(-20) assuming t is positive.\nAnswer: t**(240\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 11 = -k, 0*k - 19 = -3*d + 4*k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b0 + -2c?\nAnswer: -10c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from kqihhiqiiqiih?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - t. Let s be k(2). Let m(g) = -2*g**2 - 25*g + 42. Let n be m(-14). Find v, given that n - 4\/5*v**3 + 0*v**4 + 2\/5*v**5 + 0*v**s + 2\/5*v = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9, q: 10}. What is prob of sequence qx?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, o: 1, y: 1, s: 1, a: 1}. What is prob of picking 1 o, 1 y, and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, t: 16}. What is prob of picking 1 t and 1 q?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 5*s**2 + 3. Let w be l(5). Let a be 1 - 1 - (-4 - 4). Let c be ((-9)\/(-6))\/w*a. Solve -c*z + 5 = -11 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 626033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*-2\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q**4 + q**3 - 9*q**2. Let k(h) = -h**3. Let j(u) = -2*a(u) - 2*k(u). Find the third derivative of j(r) wrt r.\nAnswer: 240*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 87 + 15?\nAnswer: 9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2\/7 + 206*t\/7 - 10609\/7 = 0 for t.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 793339, 793333, 793315, 793279, 793219, 793129, 793003, 792835?\n\"Answer: -y**3 + y + 793339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i. Let a(l) = 2*l - 1. Let t(f) = -f**2 + 3*f. Suppose -y + 2*z = 7, -y + 5 = -4*y - 2*z. Let n(o) = y*a(o) + 2*t(o). What is h(n(q))?\nAnswer: -2*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.98246 rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -9*w. Let y(k) = -6*k + 559. What is c(y(j))?\nAnswer: 54*j - 5031","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 32?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.6 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*w - 28. Suppose -10*r + 21 = -w*r. Is 7 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i**3 - 2*i**2 + 1. Let o be s(1). Let u be (o - 6)*6\/(-4). Solve -u*x - x = 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o + 4. Let z(k) = 14*k + 6. Let f(p) = 40*p + 17. Let b(h) = h**3 - 5*h**2 + 7*h + 3. Let l be b(3). Let w(i) = l*f(i) - 17*z(i). What is w(g(m))?\nAnswer: 8*m + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 5*r**2 - 2*r - 7. Calculate h(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -6*n + 2*n - 5*g, -4*g = -n + 24. Let z be 1\/n - 60\/(-16). Solve -2*y = -z*o + 6, -3*y = 2*y + 4*o + 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q - 3461 = -9788. Let o = 335 - q. Solve o*n - 5*u = 21, -4*n + 9 = -2*n - u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 68\/3 + (-3)\/(-9). Suppose -c + 3 = -z, 6*z + 3*c = 2*z + t. Suppose -4*p + 2*j = 7*j - 278, z*j = -5*p + 339. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -7. Let f(y) = y**2 + 6*y + 7. Let h be f(-5). Suppose 2*x + 4*j + 2 = 0, -j - 8 = -2*x - 0*j. Which is the closest to u? (a) 4 (b) h (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4004 and 421057?\nAnswer: 18526508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 3*k**2 + 15*k - 3. What is r(-5)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i + 2. Let u(f) = -1244*f - 11. Calculate -u(q) - 5*v(q).\nAnswer: 1269*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 30 = 14*k, 87 = -128*r + 123*r + 9*k for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v + 4 = -66 - 2 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/41 in 2\/5, -3\/77, 0, 2?\nAnswer: -3\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 737 is divided by 290?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-2*(sqrt(2057) - (sqrt(2057) - 1*sqrt(2057))))**2)*-1.\nAnswer: -8224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(44) + -5 + sqrt(44) + 3*sqrt(132)\/sqrt(3).\nAnswer: -5 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78)\/52*5\/((-30)\/(-16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a micrometer in nanometers?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 2204*f**2 + 2203*f**2 + f + 4 - 11*f + 6. Let d be z(1). What is the nearest to d in 4, -2, 5, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = 5*p - 5*g, 2*p + 5*g - 139 + 42 = 0. Let u = -264 + 272. What is the remainder when p is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/9 (b) -0.5 (c) 52 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 10*u - 5*u - 210, 5*h + 4*u = -1050. Let l = 122 - h. What are the prime factors of l?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -7.7. Let a = -216.0262 + 0.0262. Let s = -211 - a. What is the biggest value in s, m, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 times -21\nAnswer: -2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 times 0.2268\nAnswer: 0.036288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eoogoyoooogoygoe. What is prob of picking 2 y?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**2*j**2*z**3 + 349*c**2*j**2 + 5*c*z**2 - 146*j**2*z**3 wrt z?\nAnswer: 12*c**2*j**2 - 876*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z. Let i be u(3). Suppose b - 2*s - 23 = 0, i*b - 36 = -2*s - 3*s. Suppose 0 = -29*y + 837 + 62. Calculate the remainder when y is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**3\/3 - 5*v**2\/2 - 13*v. What is m(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 9607.33, -2\/17, -3 in decreasing order.\nAnswer: 9607.33, 5, -2\/17, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -340 - -328. Is (-36)\/m*7959\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 1. Let o be 0 + (p - -2) + 0. Let z(i) = -i**2 - i - 1. Let m(x) = -2*x**2 - 3*x - 3. Let j(f) = o*m(f) - 3*z(f). Determine q so that j(q) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**31*o*o**(-1\/16)\/o*o**(-3\/5)*o**(2\/9) assuming o is positive.\nAnswer: o**(22003\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59993 + 92651. What are the prime factors of g?\nAnswer: 2, 3, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.5 + 4619900.\nAnswer: 4619897.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5*((5 + sqrt(80) + 0 + -3 - ((sqrt(80) - (sqrt(80) - (4 + 1 + sqrt(80)))) + (sqrt(80) - (sqrt(80) - (1 + sqrt(80) + 3))))) + -5))**2.\nAnswer: 14400*sqrt(5) + 33600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 10*d - 3. Let r(j) = -j + 1. Let k(s) = -7*s. Let p(z) = k(z) + 4*r(z). Determine 2*p(x) + 3*w(x).\nAnswer: 8*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 291 (b) 3 (c) -0.5 (d) 2\/39 (e) -0.1 (f) 0.3 (g) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 7*c**2 + 8*c + 10. Let o(m) = m**3 - 6*m**2 - 7*m - 9. Let j(f) = 5*i(f) + 6*o(f). Calculate j(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91 divided by -38693\nAnswer: -91\/38693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m**2 - m - 7. Let h(i) = -16*i**2 - 11*i - 5. Let l(a) = -2*a + 7*a - 3*a + 1 + 3*a**2. Let b(y) = -2*h(y) - 11*l(y). What is 5*b(d) - r(d)?\nAnswer: -d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 54926979?\nAnswer: 54926978.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**2\/4 + 125*w\/4 - 165\/2 = 0. Calculate w.\nAnswer: 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -13*z + 14*z**2 + 9*z**2 + z**3 - 12*z**2 - 7. Let i be q(-12). Suppose -3*a + i*a = 0. Which is smaller: 1\/20 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -32*i**2 + 227*i + 1. Calculate m(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7198*j**3*v + 7162*j**3 wrt v?\nAnswer: 7198*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1714 + -27499\/16. Calculate the common denominator of k and (-330)\/(-280) + -1 + 1.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.68 - 0.78. Let f = -180 - -267. Let i = 85 - f. What is the nearest to -1 in i, m, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26455 divided by 5?\nAnswer: 5291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v - 15. Let r be n(10). Let a be (6\/r)\/(3\/30). Suppose 4*d + 232 = a*q, -328 = -4*q - 4*d - 56. Calculate the highest common divisor of q and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.33 + -0.13. Let v = 0.01 + 0.09. Let w = -18 + 21. Put o, w, v in decreasing order.\nAnswer: w, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*s**2 + 2367*s - 6750 = 0. Calculate s.\nAnswer: 3, 750\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -25*n + 52. Let u be q(2). Let s be (4 - u)*(-4)\/(-14). Determine j, given that -20\/7*j**2 - 16\/7 + s*j**3 + 32\/7*j = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1105, 2221, 3337, 4453, 5569, 6685?\nAnswer: 7801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-9) - 1 - (-490)\/180?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 240 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370868?\nAnswer: 2, 92717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(70\/(-3))*2.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3153034 (base 7) to base 12.\nAnswer: -165651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070244583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i. Let g(s) = 250*s**2 - 21*s - 1. Calculate -g(l) + 6*n(l).\nAnswer: -250*l**2 + 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 8 = i, -i - 4*d + 9 = -3. Solve -i*n = -n - 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s - 30 + 3*s + 32. Let t be 123\/6 - (-1)\/2. Let x = -23 + t. Calculate h(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r - 69. Let w(v) = -6*v - 139 + 2*v + 3*v + 6*v. Let l(i) = -5*o(i) + 2*w(i). Let t be l(13). Solve -2*n - 19 = -3*z, -t*z + 10 = -n - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347 - 40 = -43*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -18090*-697\nAnswer: 12608730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 778589.6 years?\nAnswer: 77858.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ff0 (base 16) in base 4?\nAnswer: -1333300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5 + 0 - -1321 - -3) + 0.\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -16*b + 2. What is the greatest common factor of 114 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2564471.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/150*-4 + 146\/30. Let p(u) = 55*u. What is the units digit of p(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-7))\/(10\/(-35)). Let i be (24\/(-20))\/(p\/140). Let y be ((-2)\/(-7))\/((-12)\/i). Which is the smallest value? (a) y (b) 0 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = -2*k. Let a be (1 - k) + 12\/6. Let d = a + 1. Solve d*q = -2*n + 12, 0 = 3*q - 4*n + 11 - 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 62 + 0*b - 974*b**3 - 4*b**2 + 970*b**3 + 0*b.\nAnswer: -4*b**3 - 4*b**2 + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1546, -3116, -4704, -6310, -7934, -9576, -11236?\n\"Answer: -9*h**2 - 1543*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*h - 320*h = 2*d - 53, 5*h - 24 = -14*d + 3*d + 47 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 5, 26 = c - 5*y - 58. 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: Let o be 96 - (-1 - -5)\/(-2). Suppose 0 = -a - h + 14, -5*a + 9*h + o = 7*h. Solve j + 4*q - a = 0, 5*q = 5*j - j + 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**12)\/(h\/(h**(2\/17)\/h)))\/(h*h\/h**0)**(-34) assuming h is positive.\nAnswer: h**(937\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fggggggfgggggfgggfgg.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 b when two letters picked without replacement from {e: 9, z: 1, b: 7, m: 3}?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 433950 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (4 + -1*sqrt(1584))*-4)**2 + 0 + sqrt(1584)*3 + -4 + 4.\nAnswer: -1500*sqrt(11) + 25600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 16 - 34. Let j be n\/3*4\/(-6). Suppose j*v + 2*u = 202, -2*v + 5*u - 6*u + 201 = 0. Is 20 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-467838)\/(-336) + (-3 - 42\/(-16))?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*(sqrt(1584)*-4 + sqrt(11))*-4*-1.\nAnswer: -2256*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 89970\/9 + (-48)\/(-36) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 8 = t. Suppose 1 - 5 = -2*y. Solve -2*z**5 - 5*z**t + 8*z**3 - 15*z**4 + 2*z**y - z**5 + 13*z**4 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, m: 2, t: 2}. Give prob of sequence mtt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1.39924 + -144\nAnswer: -145.39924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 83027 and -199.\nAnswer: 82828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*h = -2*v + 39, h - 12 = -v. Solve -3*n + 7 = -4*n - i, -4*n - v = -3*i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1408, 11172, 37650, 89194, 174156, 300888, 477742?\nAnswer: 713070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/23790 and 157\/30.\nAnswer: 23790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3132988 is divided by 3132977?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**3*u**2 + 830*g**3*u - 10835202*g*u**4 - 3696*g*u wrt u.\nAnswer: 4*g**3 - 130022424*g*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/15*i**3 - 2\/15*i - 2\/15*i**4 + 0 + 2\/15*i**2.\nAnswer: -2*i*(i - 1)**2*(i + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 288398?\nAnswer: -288398.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2719*i + 341 = 2750*i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65232009 divided by -3.\nAnswer: 21744003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 153*a + 71*a + 102*a + 7028 + 7642 for a.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*-37.\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 + 144 - 51 + 23*b - 45.\nAnswer: 23*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/12984 and 67\/121184.\nAnswer: 363552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 30 + 38*q**2)*(1 + 0 + 3)*((-4 + 4 - 2)*(-2 - 2 + 1) + 4 + 0 - 2).\nAnswer: 1216*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 + 40*k - 6765.\nAnswer: 5*(k - 33)*(k + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -2. Suppose -2*j + 35*q = 32*q - 11, -q = -3*j + 13. Sort j, 5, c, -1.\nAnswer: -1, c, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*(q\/(q**(-5)*q))\/q*q)\/(q\/((q*(q**(-1\/23)\/q*q)\/q)\/q)))\/(q\/(q\/q**(2\/5)))**(2\/51))**(-2\/101) assuming q is positive.\nAnswer: q**(-46226\/592365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*(2 + sqrt(304) - sqrt(304))**2 + 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-33)\/(-6))\/(2\/4). Solve -3*i + 17 = -2*c + 7*c, -3*c - i = -l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 4 + 0 - 14*r**2.\nAnswer: -14*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1124, -1144, -1178, -1232, -1312, -1424?\nAnswer: -1574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.066 minus -83368.7?\nAnswer: 83368.634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (-3 - 30\/(-2)). Suppose m - i = -5*v, -2*m - 4*v = -0 - 14. Suppose -c + 236 = m*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a - 3*a + 5*x + 10, -4 = x. Suppose -8 = a*n - 6*n. Solve g = m + 2, -g = 3*m + n*m - 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 242 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 5, -4, 8.\nAnswer: -9, -4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/18000 and -161\/27000?\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 4*a + 16 = 0, -r + 5*r + 4*a - 31 = -11*r + 14*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -29. What is the third derivative of 23*g + r*g**3 + 3*g**2 + 4*g**3 - 23*g wrt g?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + p = 0, -4*p + 4 + 2 = -5*g. Suppose -3*v + 53 = -v - 3*d, 6 = -2*d. Calculate the greatest common factor of g and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39748051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bdx when three letters picked without replacement from {b: 2, d: 2, x: 4, o: 1, q: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*v + 5*w, 0*w = 2*v - w - 2. Sort -5, 4, 0, v in decreasing order.\nAnswer: 4, 0, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20846?\nAnswer: 2, 7, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*d = 27. Let w(t) = t**2 + 9*t + 4. Let s be w(d). What is the second derivative of s*g**3 + 2*g - 5*g**3 + 4*g**3 wrt g?\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 8:16 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-3 - -2) + 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - (31 + 20 + -40 - 24).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - ((-89)\/6 - 3). Let g = 112\/3 - q. Find the common denominator of (-198)\/(-40) + (-2)\/(-2) and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 0 + 2*p - 2*p**2 + 1\/12*p**4 + 2\/3*p**3. Calculate j(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -104608 and 0.1?\nAnswer: -10460.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/145640 and 45\/353177?\nAnswer: 14127080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5071.897 - -5069. Let n = x - 0.103. Which is the fourth smallest value? (a) 1.5 (b) 2\/19 (c) n (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.4 (b) 11 (c) -2 (d) -3121 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c + 1 - 1 + (0 + 2 + 0)*(-2*c + 5*c - 2*c) + 2*c + 0 + 0 + 2 + 3*c - 2 + c + 3*c - 2*c - 73*c + 47*c - 8*c + 1.\nAnswer: -27*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9380 divided by -5?\nAnswer: -1876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + v)*(3*v**2 - 4*v + 2*v - 18*v**2)*(-2*v + 5*v - 2*v) as j*v**3 + c*v + a + q*v**4 + z*v**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26 + -212?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 12:00 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/42*(-80)\/(-180).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*x + 12*x - 24 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 406306 or 406309?\nAnswer: 406306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1866490 - -4?\nAnswer: -1866487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/4*(-15)\/(-2). Let s = j - -46. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586741?\nAnswer: 586741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -71*c - 162. What are the prime factors of l(-6)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136745 to the power of 1\/2, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 - 2*o - 111. Let l(j) = j**2 + 37. Calculate 7*l(c) + 2*r(c).\nAnswer: 3*c**2 - 4*c + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of 7\/24*v**4 + 0*v + 0 + 1\/60*v**5 + 4\/3*v**3 + 2*v**2. Calculate the smallest common multiple of 2 and t(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 2 - 7 + 14 + 2*a**3 - 35.\nAnswer: 2*a**3 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64851569, 64851568, 64851567, 64851566, 64851565?\nAnswer: 64851564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0990685 minutes to microseconds.\nAnswer: 5944110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 + 20 - (-71 + 24 + 37)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 12304?\nAnswer: 12302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 200\/22 + (-1)\/11. Solve 3*m + 6 = -c for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 6 = 5*z. Suppose -10 = -w + z. Calculate the lowest common multiple of 16 and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h**2 + 26*h - 127. What is b(7)?\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 201 - 401\/2. What is m in -x*m**2 - 3\/2*m - 1 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ussuuiussssus. What is prob of sequence sis?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 s when three letters picked without replacement from {p: 2, o: 1, w: 6, s: 1, h: 2}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 2778?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -407 + 618. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15725857139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from {x: 5, n: 4, m: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/2 of a century?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**4 + 28*p**3 + 20*p**2 - 28*p - 24 = 0. What is p?\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2\/4 - 227377*j\/4 - 682113\/2 = 0 for j.\nAnswer: -227371, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -19629\nAnswer: -1962.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by ((-32)\/8)\/((-2)\/11)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 64b + 5?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -313 = y + 4*p - 3291, -5*y + 5*p = -14765. Calculate the remainder when y is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**5\/10 + u**4\/12 - 744*u**2. Let l be (-6)\/(-9)*3\/(-2). What is the lowest common multiple of v(l) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114811*-594.\nAnswer: 68197734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.5 + 5.06. Let z = -124.44 - p. Let y = 126.000271 + z. Round y to five decimal places.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 + 3*t**2 - 43*t + 68*t.\nAnswer: 2*t**2 + 25*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 7. Let n = -5 - z. Let y = n - -7.99996. Round y to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 52 = -s - s, -44 = -3*z + 4*s. Let o be ((-3)\/6)\/((-2)\/z). Solve 0 = 3*m - 3*p + 27, 21 = -0*m + m + o*p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10008.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/354 and 113\/1180.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -36998438 in descending order.\nAnswer: 3, -4, -36998438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/28015 and 7\/12155.\nAnswer: 5238805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 - (51 - (8 + 7))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -535*1.\nAnswer: -535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 52\/20) + 65\/25\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-936)*13)\/((33*(-3)\/(-12))\/(-2)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32369817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 444\/(-1554)*(-161)\/(-2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)\/sqrt(7)*-1)\/(sqrt(12)*2)*2.\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**4\/11 - 56*h**3\/11 - 58*h**2\/11 = 0.\nAnswer: -1, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -23 + 22 + -18 - 46?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - 2*sqrt(756))\/(sqrt(7) + (sqrt(7) + sqrt(175))*4).\nAnswer: -11*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -2*b + 30, -987*o + 987*o - b = -15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 343730*c**3 - 7230*c**5 - 343730*c**3 + 5*c**4 - 5*c**4 + 22 - 93*c wrt c.\nAnswer: -144600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 11*d - 5*d. Let c be 216\/40 + 8\/d. Solve c*w + 9 = -16 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 30) + 12 + 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*c - 4*l = -80*c - 8, -1 = -3*c + 5*l for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.28 and 0.634905 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = s + 9, -4*v = 2*s - 54. Let u be (-3)\/v - (-164)\/20. Suppose 0 = 2*d - 4*x + 10, -4*d + 2*x = -u - 2. Sort -5, 3, d in descending order.\nAnswer: d, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 31312333?\nAnswer: -31312334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.375373 millennia in months?\nAnswer: 100504.476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 205130.4 - 0.7636638.\nAnswer: 205129.6363362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -68154000 rounded to the nearest 1000000?\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/5? (a) 1 (b) 2\/19 (c) 39 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 514*h**5 - 2*h**2 + 256*h.\nAnswer: 30840*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5*j + 3 + 7 = 0, 4*d + 13 = 3*j. Let l(i) = -i**2 - 8*i + 10. Is 16 a factor of l(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -7*p**2 - 18*p - 655. Let w(x) = -10*x. Calculate l(w(i)).\nAnswer: -700*i**2 + 180*i - 655","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7306 - 7299. Let n(h) = -3*h**3 - 12*h**2 + 9*h - 19. Let v(l) = 4*l**3 + 13*l**2 - 9*l + 20. Let b(q) = 5*n(q) + 4*v(q). Calculate b(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**4\/12 + p**3 + 5*p**2\/2 + 3*p. Let v be i(6). Suppose -2 + v = h. Solve 0*u = -3*u + h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2098 = 2*x - p, -5*x + x + p + 4200 = 0. Suppose -24*s + x = -29. Calculate the remainder when s is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19908c - 0?\nAnswer: 19908c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-4263)\/(-476) + -9)*52\/(-91)*28\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/3 + 73\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161285851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-1)*g)**(1\/5)\/(g\/g**(-7\/5))**(-3\/4) assuming g is positive.\nAnswer: g**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 3:55 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 304 = 6*f. Let t(z) = -f*z - 7 - z**3 + 83*z + 5*z**3. Let q(o) = -6*o**3 - 11*o + 11. Let h be (2\/(-8) + (-45)\/12)*2. Calculate h*t(v) - 5*q(v).\nAnswer: -2*v**3 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/3384 and -7\/2115?\nAnswer: 16920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2322, -2327, -2330, -2331, -2330, -2327, -2322?\n\"Answer: f**2 - 8*f - 2315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 35 = 3*c, -5*p - 41 = -c - 16. Let n = 3 + -3.5. What is the second biggest value in n, p, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -551*b**5 - 3*b**4 - 208*b**3 + 155*b**2 + 77.\nAnswer: -33060*b**2 - 72*b - 1248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxhxxxh. What is prob of sequence xhx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, u: 4}. What is prob of picking 3 u?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**5\/4 + 9*t**4 + 63*t**3\/4 + 15*t**2\/2 = 0.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6*m**2 + 4*m. Let v(g) = 5*g**2 + 7*g + 6. Let w(d) = -16*d**2 - 21*d - 17. Let b(q) = -17*v(q) - 6*w(q). Calculate 4*b(k) - 7*n(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + c + 3 + (2*c + 2*c - 2*c)*(-1 - 1 + 4) - c + 4 - 4)*(25 + 127 + 22) to x + j*c and give j.\nAnswer: 696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-38)\/76)\/((-2)\/67148) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -228*m**2 + 548809 - 4*m - 548809 + (2 - 2 - m)*(5*m - 3*m + 0*m).\nAnswer: -230*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10799 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*m + 10*m + 12*m**2)*(-4 - 1 - 2)*(3 + 2 - 4).\nAnswer: -84*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -145853.599997 + 145861.6. Let d = q + -8. Round d to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 + 0.532. Let w = -0.101 + j. Let y = w + 0.0723. Round y to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 7:17 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3337*z + 78 = 3350*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8216295 is divided by 9263?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6014 is divided by 3005?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3046190?\nAnswer: 2, 5, 7, 43517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002347230199 to 4 dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 1\/303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2406, 4788, 7148, 9492, 11826?\nAnswer: 14156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -7.7. Put k, -0.3, 4 in decreasing order.\nAnswer: 4, k, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 600\/315 + 2\/21. Solve 0 = v + 5*m - 3, 3*m - i = 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -106 + 59. Which is smaller: r or -46?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a - -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2044198?\nAnswer: 2, 13, 78623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z + 30. Let p = -40 - -98. Calculate the remainder when p is divided by h(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -200.98719 from -7.01.\nAnswer: 193.97719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.147 to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9272311 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 - -63. Let k(r) = r + 6*r + 2*r + 24 - 7*r. What is the remainder when v is divided by k(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7*n**3 - 5*n + 6. Let h = -143 + 130. Let r(w) = 15*w**3 + 11*w - 13. Calculate h*a(o) - 6*r(o).\nAnswer: o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1431\/7 + -204. Let d = -2.5 + 2. What is the nearest to s in d, -0.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 80\/(-28)*(-1400)\/16. What is the highest common factor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 12:44 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 46*h**2 + 40*h + 6. Is 35 a factor of q(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s. Let u(v) = 10*v. Let y(g) = -7*m(g) + 2*u(g). Let i(c) be the third derivative of 17*c**5\/60 - 677*c**2. Give y(i(b)).\nAnswer: -17*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, j: 9}. What is prob of picking 2 j?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v**2 + 965 - 2*v + v - 970)*(-36 - 51 + 266 + 181) to h*v**2 + t + r*v and give r.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 1.1. Let v = -6.94 - 0.06. Let r = -5 - v. Which is the nearest to r? (a) 2\/3 (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qoqwqwuhuu. Give prob of picking 2 q.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -832 + 1c?\nAnswer: -814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 81 (base 9) to base 3\nAnswer: 2201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 2*a - 5*h, 4*a = a + 2*h + 198. Suppose -4*z = -5*l - 70, 3*z - l - a = -19. Calculate the remainder when 58 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.029*-1532\nAnswer: -44.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/2 + 3236307*b + 6472611\/2.\nAnswer: 3*(b + 1)*(b + 2157537)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59558656 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 45*i - 166. Determine q(69).\nAnswer: -1822","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i + 5. Let o(r) = -r + 1. Let b(g) = -h(g) + 5*o(g). Let m(w) be the second derivative of -5*w**4\/3 + 1814*w. Give b(m(c)).\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**3 + 2*o**2 - 7*o + 4. Let j(y) = 5*y**3 + y**2 - 7*y + 5. Let n(h) = -4*i(h) + 3*j(h). Let w(r) = r**2 - 15*r - 6. Let a be w(15). What is n(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42 + 39. Sort y, 2, 2\/5 in increasing order.\nAnswer: y, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -808 and -5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q - 4*q**3 - 26*q**3 + 46*q**3 - 17*q**3 + q.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3\/3 + 116*a**2\/3 + 376*a\/3 + 256\/3.\nAnswer: -4*(a - 32)*(a + 1)*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.49 and -421.\nAnswer: -422.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -16. Let q(m) = h*m**2 - 2*m - 5 + 5*m + m + m**2. What is q(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 + -6. Let x(b) = b**2 - 14. Let l be x(6). What is the highest common divisor of k and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1757301*t = -1757312*t - 803 for t.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2497062 by -832354.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35336401?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 v when two letters picked without replacement from {n: 2, v: 2, b: 4, c: 3, y: 2, m: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.44919um to meters.\nAnswer: 0.00001644919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/3 + 3507\/(-36). Let f = -96 - i. Which is the second biggest value? (a) f (b) -0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 43 = n, 5*n + 31*o - 30*o - 215 = 0. Let l be (-2 - -13)\/(2\/36). Let g = 281 - l. What is the remainder when g is divided by n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 273*m**4 - 269*m**4 + 27 - 2*m**2 - 25 in the form c*m + f + d*m**2 + y*m**4 + g*m**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 6*y + 12. Let t be u(5). Let h be -4 - ((-17)\/(-2))\/(t\/126). Let p = 405 + h. List the prime factors of p.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11312769, 22625540, 33938311, 45251082, 56563853, 67876624?\n\"Answer: 11312771*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 11*u**2 + 11*u + 9. Let i be q(10). Suppose 6*n - 49 + i = 0. Suppose -c + 15 = -0*c. Solve -5*r + c = 0, 0 = -j - 5*r + 6 + n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, v: 1, w: 2, l: 1, q: 4}. What is prob of sequence ul?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60*(-1)\/16*2*4\/(-340).\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1258.6 rounded to the nearest ten?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 m when two letters picked without replacement from llxxxlllxmxlxl.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 36*m + 77. Let v be t(-34). Suppose -5*z = -i - 61, v = 2*z - 4*i - 19. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0. Let i = 1 - 0.9. Let t = -0.4 - i. What is the nearest to -0.1 in t, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3341, -1241, -8875, -19561, -33299, -50089?\n\"Answer: -1526*s**2 - 4*s + 4871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(144\/(-6)))\/((-11)\/38874*-19)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -47825 (base 13) to base 16\nAnswer: -1ffbe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(4\/15)\/t*t**(-1\/4)*t)\/(t**(-4\/17)\/(t\/t**(-3\/5))) assuming t is positive.\nAnswer: t**(1889\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 72*d - 172*d + 90100. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2389.8216 months in millennia?\nAnswer: 0.1991518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/22220 and -125\/37248?\nAnswer: 206912640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/(-12)*9\/(-2). Solve -2*n + o*n - 12 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 105*f - 1793561 + 43946. Is f a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q - 2 - 6*q**2 + 2*q**2 + 0*q**2. Let t(k) = -k**3 - 5*k**2 - 3*k - 3. Let a be ((-6)\/5)\/((-4)\/10). Give a*g(w) - 2*t(w).\nAnswer: 2*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2) + 3\/6. Suppose 0 = a - 3 + y. Suppose 1 = -4*z + 5*i + 3, -z = a*i - 7. Let v(h) = h**2 - h - 4. Determine v(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3\/2, 0 in ascending order.\nAnswer: -1, 0, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {u: 2, f: 9, b: 4, g: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*c**3 + 17*c**3 - 5*c**3 - 2*c**3 - 1 + 1 + (-5*c + 2*c**2 + 5*c)*(-2*c + 0*c + c) + (2*c - 2*c + 2*c**2)*(-2*c + 2*c - 2*c).\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3626 - -3628. Let a = 22.5 + -22. What is the second biggest value in a, 5\/7, t?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1389737 and 457?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4 - 411*f + 4 + 393*f + 8*f**4 wrt f.\nAnswer: 96*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92290120 is divided by 2474.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83486 is divided by 363.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((i**2 + i - i)*(i + 5*i - 4*i) + 2*i + 3*i**3 - 3*i - i)*(-10*i**2 + 2*i**2 - 8*i**2).\nAnswer: -80*i**5 + 32*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.7 - -6. Let c = u + 1. Let v = -0.1 + c. Put -5, v, 2\/21 in ascending order.\nAnswer: -5, 2\/21, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27744 and 56712?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 17941?\nAnswer: 1793b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 52610561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29270396*j**4*r**2 + 9725*j*r**2 - 13*j*r + j - 2*r wrt j.\nAnswer: -351244752*j**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.2919 + 0.0081. Let o = -3.3 + k. Let s = -76 - -686\/9. What is the nearest to 1 in o, 2\/3, s?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(12) + sqrt(60)\/sqrt(5) + sqrt(12))\/sqrt(2) + (sqrt(384) - (sqrt(384) - 3*sqrt(384))))\/(-5*sqrt(6)\/sqrt(2)*5*5))**2.\nAnswer: 1458\/15625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 2:37 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*z - 42 = 231*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1495816563 to the power of 1\/3, to the nearest integer?\nAnswer: 1144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 761 + -755. Calculate the highest common factor of k and 384.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -67*z**5 + 43*z**3 - z + 418?\nAnswer: -1340*z**3 + 258*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 2*o - 5 = 0, 0 = x + 3*o - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -10*a + 80. Solve -2*o + 6 = a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h**2 + 26*h - 76. Let q be w(-9). Solve -r + q*r - 65 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45284762779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**5\/60 + g**4\/6 + 5*g**3\/6 - 79*g**2 + 71*g. Let j(h) be the first derivative of t(h). Let j(u) = 0. Calculate u.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 16*j**2 + 20*j**4 + 5 + 5\/2*j**5 + 28*j**3 - 2*j. Factor s(b).\nAnswer: 2*(b + 4)*(5*b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/((-2)\/((-48)\/52)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-3))\/((-21)\/(-6363)). What is the common denominator of -40\/11 and 21\/6*(0 + (-6)\/y)?\nAnswer: 2222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 10, v: 3, m: 2}. Give prob of sequence kkmv.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.14? (a) -2\/3 (b) -3.3 (c) -3 (d) 0 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z - 2. Let u be w(-3). Let a(b) = 5*b**2 + 7*b - 1. Let h(v) = 14*v**2 + 20*v - 3. Let t = 44 - 38. Give t*h(k) + u*a(k).\nAnswer: -k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54\/5 + -11. Let l be (2\/(-12))\/(1\/2). What is the closest to l in t, -1, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/33 and -79\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 43 = -3*t - 26, -3*o - 57 = 4*t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16713484*c**2 + 16713484*c**2 - 2860*c**3.\nAnswer: -2860*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -57 * -3\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 99*i**2. Let d(t) = -2*t + 542. Let k(g) = g - 241. Let b(r) = -4*d(r) - 9*k(r). Give b(v(x)).\nAnswer: -99*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 57460806 a multiple of 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -201, -294, -387, -480, -573?\n\"Answer: -93*t - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 61*x**2 - 260*x + 17. Determine w(-65).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from qqbbbqqvgvpe?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 81*m + 84*m + 628 = 0, -2*k = 2*m + 312. Which is greater: k or -158?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**5 - 94136*q**4 + 554883200*q**3 - 12161911168*q**2 = 0.\nAnswer: 0, 22, 11756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 3*k - 3. Let v = 0 + -2. What is r(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -323622 and -323243 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 260819545 a multiple of 1168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -50436 (base 7) in base 13?\nAnswer: -5748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -8*n - 97. Let m be a(-13). Let p be m + -4 + (-3)\/(-3). Solve k - 3*g = -14, -p*k - 4*g + 2 = 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9376\/25 - -375. Which is the closest to r? (a) -1 (b) 1\/4 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 15944\nAnswer: -79720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -5. Suppose 4*t - 13 - 19 = 4*u, -3*t - 2*u + 4 = 0. Suppose 3*s - 5 = -m, -v*m + t*s = -s - 54. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 28 = 5*z - z, -5*k + 35 = z. Solve 2*l - 6*l + 8 = c, c - l = -k for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 0*n + 2*n - 2, 16 = -5*a + 3*n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -435, -434, -433, -432, -431, -430?\n\"Answer: l - 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4*o - 46, -p - 2*o = -14 - 4. Suppose 4 = s - p. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 104 + 76 = 0. Let l be p\/(-78) + -2 + 3. Let r = 0.3 + -0.4. What is the third biggest value in 0, l, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 159962*t**4 + 6*t**3 - 16209580*t wrt t.\nAnswer: 1919544*t**2 + 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*(14\/4 - 2). Let x = i - 3. Suppose -x*q + p = -q - 23, 4 = 2*p. Calculate the remainder when q is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p - 2. Let g be z(3). Suppose -g*u + n + n + 582 = 0, 4*n = 5*u - 720. List the prime factors of u.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 40.999902. Round l to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2943 and 447294857.\nAnswer: 447291914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n. Let m(s) be the third derivative of -323*s**5\/30 - 284*s**2 + s. Calculate m(i(w)).\nAnswer: -646*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**6\/120 + 2*n**5\/15 + n**4\/8 - 10*n**3\/3 + 13*n**2. Let u be q(8). Suppose -4*c = -0*c. Solve -a = -c*a - u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 20 = -3*b. Suppose -b*x - 2*l + 1865 = 3*l, 4*l + 1492 = 4*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-68) - (-3762)\/374?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2 + ((0 + sqrt(1008))*-1 + sqrt(1008) - sqrt(1008))**2 + -1)*5.\nAnswer: 5043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 1334.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llimt. What is prob of picking 1 l and 1 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/(-2) - 0)\/(-2 + -23 + (-2107)\/(-86))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1382.257ml to litres.\nAnswer: 1.382257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*c - g, 2*c = 3*g + g - 2. Let b be 1\/(2*c\/132). Let p = 48 + b. What is the remainder when p is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -142100013 + -1?\nAnswer: -142100014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4957833?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/5*-8*45\/(-108)*2 + 6. Let 136\/3 + 48*h + 2\/3*h**3 + a*h**2 = 0. What is h?\nAnswer: -17, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 8. Let q = x + 0. Let l(d) = d**2 - 2*d - 3. Let i be l(-2). Solve q*p + i = -1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**4 + 0*n**4 + 0*n**4 + (6*n**2 - 3*n**3 - 6*n**2)*(-4 + 4 + 4*n) to the form o*n**4 + c*n**2 + j + m*n + t*n**3 and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n**3 - n**3 - n**3)*(-3*n + 13 - 13) - 101*n + 1 - 10*n**4 + 101*n as v*n + h*n**3 + f + d*n**2 + m*n**4 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 6797670600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 - 756*f - 17474. Give b(-353).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -3\/5 (b) -0.5 (c) -4 (d) 8\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3932 + 4489 + 1906 + 502 - 818 - 1158)*(-11*j**3 + 5*j**3 + 10*j**3).\nAnswer: 35412*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 1608*z - 1389. What is the hundreds digit of d(28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1332 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 50\/22 + 1383\/(-5071). Find y, given that 0 - 6\/13*y**h + 4\/13*y + 2\/13*y**4 + 0*y**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (28\/(-63))\/((-3)\/9). What is the third smallest value in -7\/4, z, -5\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*u - 17 = h, -32 = -4*h + 5*u. Suppose h*q - 4*q = -15. What is the third derivative of q*a**4 + 24*a - 24*a - 7*a**2 - 5*a**2 wrt a?\nAnswer: 360*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p. Let t(z) = -2*z - 1. Let f = -184 - -185. Give f*t(y) - 6*n(y).\nAnswer: 4*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 5*m - 2370, -5*m - 462 = -t - 2*m. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 102\/9 + 8\/12. Is (64\/b)\/((-5)\/(-75)) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 33 = -3*x, -5*j + 5215*x - 5219*x - 13 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -30*a**2 - 8433*a - 843 = 0.\nAnswer: -281, -1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 - 23698*z - 140398801.\nAnswer: -(z + 11849)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g + 9 = 0. Let u be -29 - (0 + (-6)\/g). What is the units digit of u\/(-3) - (-3)\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13582*42310.\nAnswer: -574654420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**5\/20 - r**4\/24 + r**3\/3 - 823*r**2. Suppose 0*y = y. Let a be w(y). Is a != 17\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 y, and 1 i when three letters picked without replacement from {r: 5, v: 1, s: 2, y: 1, i: 3}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 20*d**3 - 24*d**2 - 18*d + 77. Determine t(4).\nAnswer: 901","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 5\/2)\/(2\/(-36)). List the prime factors of 546\/10 + r\/(-45).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1877*d**3 + 7*d - 48585.\nAnswer: -5631*d**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -2. Let h be 0 + -1 + 1\/3. Let i be (-2 + 1)\/(-1)*(-2)\/3. What is the closest to h in x, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 11:13 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143298132 divided by -6.\nAnswer: -23883022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/2*((-1048944)\/(-1804))\/(-41).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3531 and 2167.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -251 - -186. Let g be w\/312*(-4)\/290. Do -1 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((49\/7)\/35)\/(20*37\/155400)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 9 = -3*p, 0*s + 19 = s + 4*p. What is r in -12*r + s + r**2 - 3 - 4 + 3*r**3 = 0?\nAnswer: -2, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkwyu. Give prob of picking 1 k and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 7*c - 20. What is z(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 200 + -1 + 1 + 8 + (-14 - -6). Let c = 8 + 1. Let x = c - -71. What is the greatest common factor of o and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 7 = 2*r, -2*i + 2*r - 11 = -33. Suppose 117 = 5*o - 2*o. Calculate the remainder when o is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -v + 26329, 0 = 3*v - 5*v - 3*o + 52640. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 4:48 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.74 - 145.74. What is the closest to i in 0, 1, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/((m**(-10)\/m)\/m))*m*m**16)**42 assuming m is positive.\nAnswer: m**252","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v - 2. Let i(k) = k**3 - 10*k**2 - 13*k + 15. Let x be i(11). Let n be r(x). What is the highest common factor of 24 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(91\/201292*-28)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2794, 11180, 25158, 44728, 69890?\nAnswer: 100644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 4 (c) 6\/19 (d) -20 (e) -2\/61 (f) -62\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1064954 divided by 22\nAnswer: 48407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (696\/1)\/3. Suppose -v - 30 = -32, 5*d = -5*v + 40. What is the hundreds digit of ((-114)\/15 + d)\/((-2)\/g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 6*s**2 - s + 6. Let p be (-63)\/(-12) - (-12)\/16. Let y be k(p). Factor y*z + 2*z - 3 + 5 + 2*z**2 - 6*z.\nAnswer: 2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38352820 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*q + 42. Let j be 22\/(-4)*(q - 8). Let z = j - 50. Solve 0 = -4*g + 4*c - 12, 5*g + c + z = -0*c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -1\/2, 2, 7, 170\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(9\/(-4)) + 0. Suppose 0 = o*r - 13 + 1. Solve -2*t - 22 = t - 4*j, 2*t + 16 = r*j for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03252 and -248.4?\nAnswer: 8.077968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17.9? (a) -0.1 (b) -3 (c) -0.4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*u**3 + 327*u**2 + 619*u**3 - 327*u**2.\nAnswer: 488*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 + 0*r**2 - 89777*r**3 + 89771*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 134710827?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(130))\/(2*sqrt(250) + sqrt(10)).\nAnswer: -10*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -117. Let v = x - 105. What is a in -48 - a**3 - 45*a + v*a**3 - 4*a**3 + 28 - 30*a**2 = 0?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1360, -5202, -11604, -20566, -32088?\n\"Answer: -1280*l**2 - 2*l - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b + b**2 - 262357 - 19*b**3 - b + 262356 to c + w*b**3 + l*b + n*b**2 and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x + 6. Does 6 divide m(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 4*w + 2786 = 2812, -61*w = 4*c - 423 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - 0.1. Let s be 1*-5*(-3 + 2). Let p = -5 + 7. What is the closest to w in -4, p, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 17*r**2 + 6*r - 3. Let v(k) = 37*k**2 + 11*k - 7. Let i(w) = 13*m(w) - 6*v(w). List the prime factors of i(8).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 28*t**3 + 2*t**2 - 2*t + 1. Give r(1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 7*u**2 - u + 5. Let d(b) be the third derivative of -b**5\/20 - b**3\/3 - 3970*b**2. Calculate -5*d(o) - 2*k(o).\nAnswer: o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 (base 12) in base 9?\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53.5 + -53. Let d be (-7 + 1)*3\/(-45). Let f(w) = 12*w**3 + 3*w**2 + 5*w + 3. Let i be f(-1). Sort x, d, i.\nAnswer: i, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 28. What is the remainder when 20 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7778, 8448, 9122, 9800, 10482?\nAnswer: 11168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x + 21*y - 26*y + 36 = 0, 67*y = -4*x + 143 + 46 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tslsslwvwwswwww. What is prob of sequence vwvv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + 2*x + 47, 4*l - 28 = -1264*x + 1268*x for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6\/5)\/(k\/k**0))**(-2\/77)*(k\/(k\/(k\/(k**2\/k)*k))*k**(-8))**(5\/11) assuming k is positive.\nAnswer: k**(-1203\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5343 + -5338 + (-1 - -26)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - y**2 + 2*y**4 + 5*y**2)*(-57*y + 30*y + 30*y).\nAnswer: 6*y**5 + 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -94, -117, -150?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 51 = 5*l, 5*j - 2*j - 2*l - 21 = 0. Let c(d) = 2*d + 3. Let u be c(0). Suppose -60 + j = -u*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 225 (base 8) to base 16.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445878 is divided by 534?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16346, -32605, -48864?\n\"Answer: -16259*b - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/45)\/(3\/(-5)*1008\/(-216)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i + 11 = 4*a, -2*i = -a - 13. Let k = i - -2. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 4*t + 170 = 0, 30*h - 31*h = 63*t - 61*t - 88 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 860*x**3 - 134*x - 133*x + 399*x - 435*x**3 - 433*x**3 - 132*x.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 0*s**4 + 0 + 0*s - 5*s**2 + 0*s**3 + 1\/15*s**5. Let k(c) be the second derivative of -c**3\/2 + 2*c. What is k(y(a))?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/sqrt(3))**2 + 4.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31865 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyu when four letters picked without replacement from {y: 3, u: 7}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347334609?\nAnswer: 3, 115778203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*t - 0*t. Suppose 3*v = 5 + t. Suppose -v = b - 8. Solve 0 = -2*o - o - b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2475\/5775*(-4)\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 d when four letters picked without replacement from wddwdwwwwwwdwwwwdww?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112577?\nAnswer: 112577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31304289 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8770758060 to the power of 1\/3, to the nearest integer?\nAnswer: 2062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -105 - -527\/5. Suppose 4*p - 76 = -26 - 38. What is the smallest value in 0.9, p, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*u + 26. Let q = u + 9. What is the highest common factor of 133 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 3*h + 3. Calculate the remainder when 38 is divided by 13 + (-6 - 0 - h).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**3 - 6*b**2 - 12*b - 8. Suppose 3*n - 1 = s, -n + 4*s - 5 = 2. Let f be (2 - n) + 1 + 1. Let o(l) = -l**3. Let u(j) = f*o(j) + y(j). Factor u(w).\nAnswer: -(w + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 73.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c**(2\/11)*c)*c)\/(c\/c**(-6)*c))**(-10)\/((c*(c\/c**(-1\/2))\/c)**(-27\/5)*(c**(-1))**38) assuming c is positive.\nAnswer: c**(11871\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 291636.7 years?\nAnswer: 291.6367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 31 (b) 0.5 (c) -2 (d) -3 (e) 1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 104527 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 19*h + 59. Let c be r(-3). Suppose -2*g = -4*g + 6, -5*g = 4*m + 5. Let p(k) = -k**2 - 6*k - 7. Let u be p(m). Put c, u, -11 in decreasing order.\nAnswer: c, u, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -7*a - 10. Suppose 0 = -45*p + 29*p + 2016. Calculate the lowest common multiple of p and g(-2).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.7802 (b) 1 (c) -0.3 (d) 0.3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 724*m + 1468. Give k(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f**2 + 268*f + 60. Calculate o(-67).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 591 - 546*f**3 - 298 - 3*f**2 - 293 - 96*f**3 to p*f + w*f**2 + r*f**3 + t and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 3*k - 1. Let i(w) be the first derivative of w**2\/2 - 3*w - 2. Let q be i(7). Let a be ((-6)\/4)\/(2\/q). Give z(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9905 - 217933\/22. Calculate the common denominator of h and 1 + -1 + (-556)\/48.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 120718?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8270 - -2897467473.\nAnswer: 2897459203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21259, 21222, 21185, 21148, 21111?\n\"Answer: -37*s + 21296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -2)*32\/24.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 200508 and 77469?\nAnswer: 3408636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 586 + -807. Let q = 221 + u. What is the biggest value in 2\/45, 3, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 4*f + 17. Is r(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.1? (a) -0.4 (b) -34 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10 + -3 - (-21840)\/1645. Sort v, -2, 0.5 in ascending order.\nAnswer: -2, v, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l\/l**(1\/11)*l))\/l**(-2\/11)*l*l\/(l**(-30)\/l*l)*l*l\/(l*l**(-5\/6)\/l)*l assuming l is positive.\nAnswer: l**(2185\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(((-270)\/(-540) - (-14)\/(-4))*2\/24).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252960247?\nAnswer: 311, 813377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/3)\/(4\/(-6)). Suppose 0*t + 2*t = 6. Let h = -6.3 - -6. What is the closest to 1\/3 in t, h, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 18 - 22 = -6*a, -25 = -5*z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(7)*-1)**2 + 4 - (-2 + (sqrt(175) + -2)**2).\nAnswer: -170 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r**2 + r - 1. Let p be y(3). Suppose 0 = 8*t - 2 - p. Suppose -3*b = -5*w - 295, 5*w + 151 = t*b - 344. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-3) + (-8)\/(-15). Let u(y) = -53 + 116 + 2*y - 58. Let s be u(-2). Is s less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 178, -3, -37, -6, -4, 71.\nAnswer: -37, -6, -4, -3, 71, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-15 + 5) - 11 - (-1 + 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8 - -6)\/(18\/(-6012)) + 3. Is n not equal to 3354\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yboo when four letters picked without replacement from ooyfb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.9 - 1.97. Let s = -4.1 - -1.17. Let g = s + i. Which is the biggest value? (a) 5 (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hkk when three letters picked without replacement from hkhkkhh?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (3 + -5) - 3) + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03097 in -22, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11)\/(-2)*(-12)\/(-6). Let s = l + -15. List the prime factors of 56\/10 - s\/10.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 602?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7822365 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 262, -2, 0 in descending order.\nAnswer: 262, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**4 + 68124*g**3 + 340586*g**2 + 544920*g + 272456 = 0.\nAnswer: -34057, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {d: 1, y: 3, u: 1, q: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 1. Let n(l) = -4*l + 8. Determine n(k) - 5*u(k).\nAnswer: k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 498, 495, 494, 495?\nAnswer: 498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 1:51 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -259, 38, -38 in descending order.\nAnswer: 38, -38, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4536 and 5346?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/3 and 57\/112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*r - 3 = h - 30*r, -35 = -h + 35*r for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 18*y - 26. Let t(s) = -s - 3. Let z be t(-5). Suppose -17 = 3*k - 6*k - d, -3*k = -z*d - 20. Is l(k) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2752*s + 2173. What are the prime factors of d(-16)?\nAnswer: 5, 9241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -160226 (base 7) to base 9.\nAnswer: -46872","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/7))**(-48)\/(v**(2\/7))**(-31))**(1\/73) assuming v is positive.\nAnswer: v**(158\/511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4 - 10 + 5 + 2 - 16*c. What is i(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102, -100, -90, -66, -22?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3.11 (b) -0.5 (c) 1 (d) -118\/9 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -606*(-1)\/(-6)*-3. Let c = -302 + t. What is the greatest common divisor of c and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91203 minus -185600?\nAnswer: 94397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*((0 + 1 + 1)*(4 - 1 - 2) - 4 + 6 - 1)*(b**5 - 3*b**5 + b**5).\nAnswer: -6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1798253 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is b8c6e (base 16) in base 6?\nAnswer: 24115530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1015 + -1015. Solve l = -5*c - 5*q, -5*q = 4*c - 0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3710 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -7295 and -10\/19 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxy when three letters picked without replacement from {e: 5, q: 1, x: 1, y: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -856 - -856. Suppose k - 4*j - 1213 = v, 3*j + 106 = -k + 1340. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d. Let x(g) be the third derivative of 5*g**4\/8 + 35*g**3 + 64*g**2 - 6*g. Calculate p(x(j)).\nAnswer: -30*j - 420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(125) + 0 + sqrt(125) + -4 + (sqrt(125) + -1)*5)**2*2.\nAnswer: -3780*sqrt(5) + 37236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7463, 20, -4 in increasing order.\nAnswer: -4, 20, 7463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, c: 2, w: 4, d: 3, j: 1, g: 3}. What is prob of picking 3 w?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1983?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 l when two letters picked without replacement from {n: 8, k: 5, h: 5, l: 1}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of 6*n**2 + 1\/2*n**3 + 1\/315*n**5 + 1\/3780*n**6 + 0 + 1\/84*n**4 + 0*n. Let u(s) be the first derivative of t(s). Factor u(g).\nAnswer: 2*(g + 1)*(g + 3)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (5 + ((sqrt(175) + 0)*-2 - sqrt(175)) + 2 + -1 + sqrt(175) - (-4*sqrt(175)*-2 - (sqrt(175) + sqrt(175) + 3 + 0))))**2.\nAnswer: -320*sqrt(7) + 11216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 38*l - 59*l = 52*l + 297, 0 = 2*j - 3*j + l + 22 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 5*z + 5. Let v be x(3). Let q be (0 - -4)\/((-4)\/20). Is q less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 258 = 4*w. Suppose -888 = 2*c - 2316. Suppose c - w = 5*l. Does 39 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -89, -182, -307, -464, -653?\nAnswer: -874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1457457478 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08 - 1.82. Let g = 2.2 + h. What is the closest to g in 2\/3, -1, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7511738.\nAnswer: 2, 13, 288913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*j + 10*j + 6804. Calculate the greatest common divisor of j and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21.77 in 19\/10, -40, 0.3, 0.4?\nAnswer: 19\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2aa87198 + 5?\nAnswer: -2aa87193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -32. Suppose -3*s + 5*r + 137 = 0, -4*s + m*r + 82 = -109. Suppose -4*u = -2*n - s, 4*u + 5*n = -0*u + 61. Is u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 11*d - 19. Let x be w(13). What is the second derivative of x*h + 5*h**5 - 20*h**3 + 2*h**5 + 20*h**3 wrt h?\nAnswer: 140*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*i = 19144, -d - 51*i = -50*i - 4784. List the prime factors of d.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 561 divide 25223745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 88, 0, 194 in decreasing order.\nAnswer: 194, 88, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - 9 = -3*w, -5*i = 72*w - 71*w - 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-108)\/126)\/((-3)\/84*3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1 + (sqrt(175) + sqrt(175) + sqrt(175) + -1 - sqrt(175))**2)*-3)*-2 + 2 + 3.\nAnswer: -120*sqrt(7) + 4215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8962.664kg?\nAnswer: 8962664000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/504 and -38\/3501.\nAnswer: 196056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8651273 is divided by 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d**3\/11 + 24*d**2\/11 - 168*d\/11 - 32 = 0 for d.\nAnswer: -22\/5, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1074038 rounded to the nearest 10000?\nAnswer: 1070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 128628.9t?\nAnswer: 128628900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2786)\/(-77) - 2\/11. Suppose n - 5*n + m = 0. Suppose -2*z = h - 13, -h + 28 + n = 5*z. Calculate the remainder when z is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*c + 6, 9*w - 5*c - 6 = 7*w. Let a = 68 - 17. Let g = -34 + a. Sort w, 0, g in descending order.\nAnswer: g, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5450 - 18065 = -606*b + 3149 for b.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 3\/7, 0.5, 2\/19, -10?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 279978 + -114230953\/408. Let w = -1\/136 + n. Let g = 11 - 6. Which is the second biggest value? (a) g (b) w (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 + 45 = p. Suppose p*i + f = 4*i - 5, -2*i - 11 = -5*f. Suppose -7*r = -30 + i. Solve 2*z - 6*z - r = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 603.8 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 13*v**6\/30 - v**5\/10 - 17*v**4\/6 + 3*v - 4. What is the third derivative of q(r) wrt r?\nAnswer: 312*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 1339995*b - 20. Let s be w(-4). Round s to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-4)*32\/(-12). What is the third derivative of -3*z**q + 6*z**2 - 7*z**2 + 5*z**4 wrt z?\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -409\/2616 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-8) + (-44)\/(-16). Suppose -j*b = 5*v - 6, -4*v + 2*b + 2 = 3*b. Suppose 2*o - 11 - 9 = v. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3301449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3*v**2 - 23*v**2 - 4*v**2.\nAnswer: -30*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/3 (b) -1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = h - 5, w - 80 - 29 = -5*h. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 + -19. Let n = 66 + w. Solve -3*y + 8*y - 4 = 2*z, -2*y - n*z - 8 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-63)\/6)\/(-3)*2. Let j(l) be the second derivative of l**5\/20 - 2*l**4\/3 + 3*l**3\/2 - l**2 - 24*l. Calculate the remainder when 45 is divided by j(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 = 2*q - 2, 4 = -m. Let b be (0 - q)*(-12 + 170\/15). Solve b*t + 9 = -3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*b - j + 576, 4*b + 4*j = 448. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68\/155 + -5\/31. Let w = -59 - -57. Which is the nearest to 1? (a) -1 (b) j (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/66 and (40\/(-228))\/(16\/180)?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - p = 1751, 5*z + 5*p = 769 + 2176. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*q - 6018, w - 1142 = -5*q + 882. List the prime factors of w.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2004892397 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -444 or 15?\nAnswer: -444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 11*g - 56. Suppose g*a - 3982 + 382 = 0. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17371299?\nAnswer: 3, 11, 73, 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q = 51832565 + 2077691. Suppose q + 210609 = 2*h. What is h rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -553*w - 5202 = -557*w + 2*j, 4*j - 3874 = -3*w. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4519 divided by 11704\nAnswer: 4519\/11704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 7*y + 7. Let p be u(8). Let r(b) = 15*b. Let h(f) = -135*f. Let c(k) = 4*h(k) + 35*r(k). Does 15 divide c(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 29*j - 45. Let a(y) = 24*y - 38. Let z(x) = 6*a(x) - 5*l(x). Let p be 7 - ((-1)\/1 + 1). Let v be (p\/4)\/(1\/(-4)). Give z(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*f + 25 = 3*c, 2*f = 4*c - 20. Find the second derivative of -3*x**2 + x + x - c*x - 2*x wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 19 - 46 = -4*s, -2*s = v - 1. Suppose s*b - 4 = -b. Calculate the highest common factor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 67 + -58 - (-3 + 7 + 1). Let j = -35 + 36. Sort 45, s, j, 0.\nAnswer: 0, j, s, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) + (sqrt(162)*3*-1)**2 - (-1 + sqrt(162) + 2 + sqrt(162)) - (-3*sqrt(24)*-6)\/(sqrt(972) + 2*sqrt(972)).\nAnswer: -29*sqrt(2)\/3 + 1457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -447289, 0.4, -0.1, -2, -5\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(42\/(-8))\/(-7). Suppose -y + 598 = s*r, 2*r + 2*y - 461 = -57. Let x be (-72)\/2*1\/(-2). Calculate the greatest common divisor of r and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 567 and 78?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 3*f + 6, 16778 = 4*f + 2*f + 5*z + 16788 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/20 + (-2400)\/500?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 81132210?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 36*a - 163. Let v be b(5). Let z(c) = 4*c**2 + 956*c**3 - v - 3 + 4*c**2 - 955*c**3 + 11*c**2 - c. Determine z(-19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.297633ng to grams.\nAnswer: 0.000000002297633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -566*f**2 - 102*f - 1. Let z(g) = 559*g**2 + 103*g + 1. Let i(t) = 3*y(t) + 4*z(t). Find the second derivative of i(j) wrt j.\nAnswer: 1076","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -7 + (-19 - -7) + 24.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1613723.\nAnswer: 137, 11779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w**2 + w - 4. Let h be c(-2). Let x be (1\/1)\/(2\/h). Sort 0, x, -1 in decreasing order.\nAnswer: x, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -4, 29, 86, 173?\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -26 (b) 1\/2 (c) 0.09 (d) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 50 - 87 = 4*a, 13*i - 680 = 5*a. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 3. Suppose 5*g - 418 = 4*a, x = a - 3 - 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 18. Calculate the remainder when 90 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*r - 8. Let o(l) = l - 9. Let g be o(7). Let w = 2 + g. Solve r*v = -w*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 645?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1421*h = -5647*h + 275652 for h.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 9*x**4 + 6*x**3 + 37*x - 6. Let m(o) = 17*o**4 + 11*o**3 + 74*o - 11. Let u(j) = -11*f(j) + 6*m(j). Find the second derivative of u(w) wrt w.\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 15 = 0, 2*a - 38 = 764*t - 758*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2969*g**4*v + 21*g**4 - 540154*v with respect to g.\nAnswer: -11876*g**3*v + 84*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*p - 2 - 45*p + 33*p.\nAnswer: -61*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.6 (b) -1.06 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7*s - 8*s + 2*s - 6. What is m(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*q + 4, -3*i - 5*q - 13 + 34 = 0. Let t be (12\/(-1 - i))\/(-2). Suppose t*k = 2, -3*k + 0*k = 4*n - 103. Solve -4*g - n = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w + 192. Let s(i) = -i**3 + 14*i**2 - 30*i - 4. Let y be s(8). Let n = w + y. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32.6 - 33. Which is the second smallest value? (a) m (b) 1\/4 (c) -7 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*s - 2*r + 7, -2*s = -r - 13. Find the third derivative of -3 - 6*w**2 - 2 + 5 - s*w**3 wrt w.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*i + 36*i - 1940726 = 350434. What are the prime factors of i?\nAnswer: 61, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16864 divided by 136.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 6*s + 10. Let t be z(7). Let c be (2 - t - 0)*-17. Solve -4*y + 3 + c = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*b + 11, -4*b - 14 = -0*f - f. Solve 25 = -5*n, -5*l + f*n + 0 + 15 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28662506 a multiple of 634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p + 4 + p**4 + 35*p**2 + 2*p**3 + 1 - 7*p**2 - 80*p**2 - 4 to k*p + t*p**2 + a + m*p**3 + g*p**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 4*c**2 - c + 2. Let l(z) = -5*z**3 - 21*z**2 + 6*z - 11. Let a = -7 + 18. What is a*m(r) + 2*l(r)?\nAnswer: r**3 + 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.11131 - 0.07131. Which is the nearest to -7? (a) -0.15 (b) p (c) -2\/5 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 6:10 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 15. Let r(k) = -5. Let v(u) = -6*r(u) + 2*x(u). Let a(p) = -3708*p. Determine v(a(h)).\nAnswer: 27498528*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeehheevhehv. Give prob of picking 2 v and 1 e.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -17) + -10 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/7 - 598*d**2\/7 + 96668*d\/7 - 2126696\/7.\nAnswer: (d - 286)**2*(d - 26)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 * -2.2\nAnswer: 3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15\/329 + -156\/329. Put -53\/7, r, 0.2, 5, 0.3 in decreasing order.\nAnswer: 5, 0.3, 0.2, r, -53\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -36, -0.1?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/2 + 16914*v**2 - 286859853*v\/2 + 6562035263.\nAnswer: -(v - 16891)**2*(v - 46)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 95920594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (-5 - 4) + 10 + -42 + 2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142011*i = -141347*i - 43160 for i.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 448 = -4*g, -3*n = 66*g - 70*g + 416. Calculate the highest common divisor of g and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13.9 (b) -295 (c) 2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*x - 3442255 + 3453313 = 0 for x.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-10))\/(88\/40). Let h = 5.1 + -0.1. What is the biggest value in h, 2\/7, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150634.\nAnswer: 2, 11, 41, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 12:14 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 10) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -111111000001101111010 (base 2) in base 9?\nAnswer: -3787018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0662 + -3.2?\nAnswer: -3.2662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 + 54. Which is the second biggest value? (a) 2 (b) o (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 69*z**2 - 102*z**2 - 988*z - 479*z.\nAnswer: -33*z**2 - 1467*z - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/280)\/((-6)\/15).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w = -1048 + 1118 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n + 7*n + 3*n + 19*n.\nAnswer: 38*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 607382018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/1200090 and 7\/121844.\nAnswer: 199214940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - -1 - (-3)\/(-3). Suppose -2*j - 3*d = -j - 2, 2*j = -d + 9. Let a = 24 + -23. What is the closest to t in j, a, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31684 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -1\/24041438, -0.4?\nAnswer: -1\/24041438","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -o, 4*o = 4*q - 2783 - 4833. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77.2 + -146. What is v rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -18.22\nAnswer: -18.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b**2 + 5*b + 4. Let o(w) = w**2 - w - 1. Determine 4*m(v) + 20*o(v).\nAnswer: 4*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 107 = 97 - 74 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 79*l**2 + 164*l - 160. Calculate g(81).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**2 + 6*h - 3. Let z(b) = -b**2. Let s(p) = v(p) + 5*z(p). Let w = 138 + -134. What is s(w)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10079323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1606476980.\nAnswer: 2, 5, 19, 4227571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 74e8b?\nAnswer: -74e88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*o - 100*o = 18 - 5. Which is bigger: o or 146\/9?\nAnswer: 146\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -24*p + 42. Solve p = i - 4*t + 4, -10 = 5*i + t for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + p + 1. Let l(i) = i**3 + 2*i**2 - 8*i + 1. Let c(m) = l(m) + 2*n(m). Give c(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*q + 10*q**3 + 12*q**3 + 30 + 22 - 770*q**4 - 54*q**2 - 32*q + 772*q**4 = 0. Calculate q.\nAnswer: -13, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -113, -0.3, -1, -39992?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/((-13)\/(-26))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w - 28. Let z be j(-5). Solve -l = -n - z + 5, -2*l = n - 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -111*p + 169. What are the prime factors of o(-4)?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.7 - 18.7. Let y = g - -9. Let m = -7 - y. Is m at least as big as 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a45 - 196?\nAnswer: -1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 9*f**2 + 10*f + 3. Determine b(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14601\/34069 + 171\/(-7)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -5*h**2 + 10*h - 7. Let m(x) = 4*x**2 + 6*x - 6. Let v(i) = -5*i**2 - 7*i + 7. Let j(q) = 6*m(q) + 5*v(q). Let z(f) = -g(f) + 4*j(f). What is z(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3351568 divided by -22\nAnswer: 152344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, -458, -1045, -1866, -2921?\nAnswer: -4210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h**2 + 122*h - 925. What is a(8)?\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -374695*d**2 + d + 62. Let o be a(-7). What is o rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44558*l**3 - 44547*l**3 + 89103*l**3 + 1 + 28*l + 398*l to j + c*l + v*l**3 + z*l**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - f**4 - f)*(2 - 4 - 9)*(-5*f - 4 + 4 + (-3 + 2 + 3)*(f - 1 + 1)).\nAnswer: -33*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16454, 17915, 20352, 23765, 28154?\n\"Answer: 488*y**2 - 3*y + 15969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y - 5 + 19. Let f(t) = 15*t - 3*t**y - 15*t - 9 + 0 + 10. Let g(u) = -3*u**2. Calculate g(f(a)).\nAnswer: -27*a**4 + 18*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -272*w. Let k(y) = -3*y. What is r(k(o))?\nAnswer: 816*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71.8609739 + -0.5.\nAnswer: 71.3609739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 5 - 3)*(p**2 - p**2 + p**3) - 3*p**3 - 2*p + 2*p - 3*p + 3*p - 2*p**3 - p**3 + 2*p**3 + 6*p**3)*(3*p**2 + 4 - 4).\nAnswer: 3*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -147476 divided by 36869?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(162)*-3 + -5 + ((sqrt(2)*4)**2 - sqrt(2)) + (0 + 3*sqrt(2) - 2*sqrt(2)*-4)).\nAnswer: -162 + 102*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t + 5. Let d be f(6). Let x = d - 128. Let b = 67 + x. What is b rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003339 to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jggggggwwwwggg. Give prob of picking 4 w.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -92.25 - -93. Let x = 1.25 - q. Which is the closest to -2\/5? (a) x (b) -2\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13614 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -267 + 317. Suppose 460 = -t*z + 52*z. What are the prime factors of z?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -1380034577205\nAnswer: 1380034577198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**4 + 2*d**3 + 0*d**4 - 5*d**2 + 0*d**4 to v*d + z*d**2 + u + p*d**4 + c*d**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -100, -175, -276, -409, -580, -795, -1060?\nAnswer: -1381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144743 is divided by 586.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -9*j - 13. Let q be u(-3). Solve g = -g - 4*o - 2, 3*g - 5*o = -q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 - ((-2684)\/(-14) + 20\/(-140)). Which is bigger: k or -184?\nAnswer: -184","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 244*m + 488. Calculate k(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -885150 divided by -147525\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 711 and 1171491?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -290 times 0.4?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 487*o**2 + 20*o + 35. Is b(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*7\/(-49)*(-728)\/(-28)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b - 2*b)*(4 + b**2 - 4 + 2*b) - b**3 + 0*b**2 + 0*b**2.\nAnswer: -3*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 1)*(1 - 99). Suppose 5*j = 102 + p. Let i = j + -20. Calculate the highest common factor of i and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 29678015 and -9.\nAnswer: 29678006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -255, -324, -441, -630, -915?\nAnswer: -1320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 45441 (base 9) to base 15\nAnswer: 8e6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-2))\/j)**(2\/7)\/(j\/(j**(-7)*j)*j**(2\/11)))\/((((j\/j**(-2\/9))\/j)\/j)\/j**(2\/17))**(27\/7) assuming j is positive.\nAnswer: j**(-4132\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2418 - 2418. Suppose 10 = -5*i - 2*p, p + 2 = 3*i - 3. Solve -3*v + i*v + 9 = s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 62*n**3 - 2*n**2 - n + 2. Let w be (0 + -1 + 3)*-1. Let x be c(w). Round x to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/13? (a) 0.7 (b) 2 (c) 59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15633 and 52110.\nAnswer: 156330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54032 (base 8) to base 14.\nAnswer: 8310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) + 3 + -2)*2 - 4*(1 + (sqrt(931) - 1*sqrt(931)) + sqrt(931) + sqrt(931)))**2.\nAnswer: 168*sqrt(19) + 33520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 77*h - 21*h - 33*h + 49082. Sort h, -3, -2.\nAnswer: h, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 63.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*q**3 - 36*q**3 - 2*q + 4*q.\nAnswer: 72*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -147315 by -147315.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 6*q. Let n(t) = -t**2 + 5*t. Suppose 3*m + 0*m = 21. Let x = m - 7. Let h be (-7 - 0) + (x - -4). Determine h*c(p) + 4*n(p).\nAnswer: -p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/20)\/(4\/(-5)))\/(-1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29403297?\nAnswer: 3, 7, 11, 14143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767 a factor of 760786650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 14*f - 2. Let v be w(-14). Let i(r) = r**3 + r**2 - 5*r - 5. Let n be i(v). Let j = -234 + 4444\/19. Put n, j, -0.4 in ascending order.\nAnswer: -0.4, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -6. Suppose n + 0*q = -3*q - 3, -t*q - 12 = -2*n. Suppose -2*b - b = -9. Solve -17 = -n*m - s - 7, 0 = -m + b*s + 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198742 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13.1, 66, 5, -13\/5 in ascending order.\nAnswer: -13.1, -13\/5, 5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**1*a**(1\/17)*(a**(-6)\/a)\/((a\/(a**9*a))\/a) assuming a is positive.\nAnswer: a**(69\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/5131 bigger than -448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 22, 170, 406, 730?\n\"Answer: 44*i**2 + 16*i - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4*c = 4*q + 12, -24 = -2*q + 2*c. Let j = -119 - -33. Let t = q - j. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**2 - 4042*k + 1874600 = 0. What is k?\nAnswer: 721, 1300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 2. Let r(f) = f**2. Let j be r(0). Let a be l(j). Is ((-1)\/a)\/((-2)\/(-76)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*w**4 - 22855695*w**3 - 9673769410533*w**2 - 1364829131550173877*w - 2502154226702304141.\nAnswer: -3*(w + 423253)**3*(6*w + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 92820 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**2*t**2 - 189*j**2*t - 144*j**2 - 1401*j*t**2 + 10*j*t + 3*j + 445*t**2 + t - 1 wrt t.\nAnswer: -2*j**2 - 2802*j + 890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.9 + -3.9. Which is the closest to -0.2? (a) 7 (b) l (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011211316 to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194360 is divided by 1012?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 5*m - 11835, -2*m - 5202 - 2704 = -2*l. What are the prime factors of l?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -5.3. Let z = -4.7 + s. Let f = 1 - 0. Which is the nearest to 3? (a) 3\/5 (b) z (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4533434 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 11*f**2 - 2*f**3 + 2*f + 7*f**2 + 9*f**2 as r*f**2 + w + y*f**3 + m*f and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.921548 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**3 + h**3 + 5*h**3 + (-5*h + h + h)*(4*h**2 - 4*h**2 - h**2) - 3*h**3 - 2*h**3 + 4*h**3 + (h**3 + 2*h**3 - 4*h**3)*(-6 + 1 - 3).\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 8 (c) -2\/9 (d) 5624.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4967684469+48\nAnswer: 4967684517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7812 and 10788?\nAnswer: 226548","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3*(sqrt(245) + (sqrt(245)*1*1 - sqrt(245))))**2.\nAnswer: 168*sqrt(5) + 2221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1536)\/(-12))\/((-9)\/54*-24).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 242173 (base 9) in base 12?\nAnswer: 70563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 4) to base 5.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -5\/56543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0 + 0)*(0*h**2 + 3*h**2 - 2*h**2) + 0*h + 0*h + h**3 + 1589*h**3 + 3759*h**3 - 2195*h**3.\nAnswer: 3152*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*n - 179*n = -469170. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 146550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1))**(-29))**(20\/7)\/((o**0\/(o\/o**(-6)))\/((((((o*(o*o**(3\/5)*o)\/o*o)\/o*o)\/o)\/o)\/o*o)\/(o*o**0))) assuming o is positive.\nAnswer: o**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n - 33. Determine a(-34).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7937528 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 258, 252, 246, 240, 234?\n\"Answer: -6*r + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.8 and 32719.092.\nAnswer: 32718.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -412435.07 to the nearest ten thousand.\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/(-70) - (-1)\/((-21)\/10746). Round a to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 - -26. Let j = z + 6. Let w = 9.1 + j. Round w to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -5 (c) 376.286\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70*(-6)\/(-12))\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4038 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -4*s + x, -4*s = x - 109 + 33. What is the least common multiple of 40 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2)*q\/q**(-6)*(q**(-6\/5)*q)\/((q\/q**16)\/q))**(21\/5) assuming q is positive.\nAnswer: q**(4683\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 30?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11 + (-3 - -1))*1. Let f = h - 6. What is the remainder when 3 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*j**2 - 3\/8*j**4 + 0*j**3 + 0 + 0*j + 1\/8*j**5.\nAnswer: j**2*(j - 2)**2*(j + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.1106635 rounded to 2 decimal places?\nAnswer: -31.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m**2 - 6*m**2 - 2*m**2)*(3*m - 3*m + 2*m) + (-7*m - 33*m + 13*m)*(-1 + m**2 + 1) + (2 - 4 + 0)*(0 + 0 + m**3) as r*m**3 + u*m + i + c*m**2 and give r.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13716474 by 11969.\nAnswer: -1146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*-1 - (0\/8)\/9. Put 3, 44, p, -1 in descending order.\nAnswer: 44, 3, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 6. Let r(b) be the first derivative of -b + 3. Let k(d) = -3. Let u(t) = k(t) - 4*r(t). Give g(l) - 6*u(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -411 - -441. Solve 0 = -b - b + 3*a + 7, -5*b = 5*a - p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 25156.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 130266?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1251 - 1251 + 156327*i**2.\nAnswer: 156327*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -32?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - k**2 + k. Let y = 4 + -6. Let x be (y\/4)\/((-2)\/48). Let c be ((-1)\/2)\/((-6)\/x). Determine g(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30317.61008 to the nearest ten.\nAnswer: 30320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, z: 1, r: 4, t: 1}. What is prob of sequence nnt?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -37, -6, -0.2, -2.7, 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*v**3 - 30*v**3 + 341*v**3.\nAnswer: 461*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 87*o - 85*o - 11338. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + x. Let a be p(2). Let n(j) = -j**3 - 2*j**2 - 3*j - 3. Let l be n(a). Solve -l = -b + 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3*m = -1, 2*q + 0*m - 19 = 5*m. Suppose 1 = q*l - 6*a + 3*a, 5*a - 15 = 0. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (0 + -6)) + (-2 - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.5, 1\/6, -3\/2, -0.53?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in -4\/9, -0.2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 399258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 12*m**2 - 25*m - 54. Calculate c(-8).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 4. Let w = 8 - 0. Let z = -13 + w. Let g(o) = o - 5. Determine z*c(j) + 4*g(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 7*n**2 + 2*n - 10. Let m be d(7). What is the derivative of -m*r + r + 3 - 3 - 2 wrt r?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 240 + -169. Suppose 6*r - m = 409. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 4*o - o)*(-1 - 4 + 4) + 4*o - 4*o - o + o + 0 + 0 + (2*o + 4*o - 7*o)*(0 - 1 - 3).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06739 to three decimal places.\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**4 - b**4 - b**4 + 2905*b**4 + 2797*b**4 - 1394*b**4 + (0*b**2 + 2*b**2 - 3*b**2)*(b - 2*b**2 - b).\nAnswer: 4308*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**3 - 24*y**2 - 63*y + 10. List the prime factors of p(16).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/8 + 5159\/44?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -783 divided by 3.\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 = -5*k + 157 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 990*k + 8 = 988*k + 4*i, 4 = -4*k + 4*i for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**3*r**(3\/8)*r)\/(r*(((r\/((r\/r**3)\/r*r))\/r*r)\/r)\/r*r**(-1\/3)))**(-3\/2) assuming r is positive.\nAnswer: r**(-89\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + n + 3*u - 9, 0 = -5*u + 5. Suppose n*z = 15 + 36. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -26, 0.6, 2\/9?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.5, 2\/13, 17455\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -31\/40 + 1777\/280. Find the common denominator of y and 5\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**3\/6 - 8*r**2 + 2*r + 258. Let g(k) = -2*k**2 + k**2 + 2*k**2. Give o(g(b)).\nAnswer: -b**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**4\/4 + 4*m**3 - m**2\/2 - 5*m - 34. Give h(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/22)\/s**(-17))\/((s*s**(4\/7))\/s*s)**(-12) assuming s is positive.\nAnswer: s**(5515\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 7*b + 2*b + 6 = 0, -3*b = 0. Suppose 5*t + 2*c = 1520, x*t - 2*c = -5*c + 608. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = b + 11 - 46, -3*b = -4*u + 161. What are the prime factors of u?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 40. Let q be w(-18). Suppose 48 = 14*r - q. Suppose -3*g - u - 7 = -4*g, 0 = 2*u + 4. Calculate the remainder when r is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(2\/7))**(2\/33)*(v\/(v**(2\/5)*v))**2)**(-2\/3))**(-18) assuming v is positive.\nAnswer: v**(-3616\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 348 + -327. Let o be ((-51)\/(-6))\/(1\/2). Let g = d - o. Solve -g*s + 3 - 11 = -2*l, -4*l = -8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 233, 85, 1\/4, 2\/7, 0.12 in increasing order.\nAnswer: 0.12, 1\/4, 2\/7, 0.5, 85, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2297 is divided by 48.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 6:04 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15009443 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*t**2 + 3*t**2 + 85594*t - 13*t**2 - 85573*t in the form z*t**2 + h + g*t and give z.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39120 and 20.\nAnswer: 39120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1964, -3867, -5708, -7457, -9084, -10559, -11852?\nAnswer: -12933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, u: 2, n: 6, t: 3, x: 6}. What is prob of sequence xn?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 99 + (-119 + 82 - -51) + (-1 - 22)\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -16864603.\nAnswer: -12\/16864603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(11))*5 - ((sqrt(11) - sqrt(22)\/(sqrt(12)\/sqrt(6)) - sqrt(11))**2 + sqrt(11)).\nAnswer: -6 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y - y + 2*y**2 + 4*y in the form j + x*y**2 + l*y and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 9*j + 4 - 1\/2*j**2. Let l be i(9). Solve -2 = -2*c - l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (120\/(-192))\/(4\/32). Put -4\/3, 79, -4, q, 4 in descending order.\nAnswer: 79, 4, -4\/3, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 8*m**2 - 49*m + 14. List the prime factors of b(19).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*i + 4*i**2 + 39*i - 7*i**2 - 3*i to the form y + n*i**2 + h*i and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h - 13. Let a be t(7). What is the greatest common factor of a and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6879 divided by -2293.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.5 (b) 0.4 (c) 3\/10 (d) 11381 (e) -96 (f) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4114748 or 4114684?\nAnswer: 4114684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*t + 0*t + 3*t)*(4*t + t - 6*t) + (-11*t - 27 + 27)*(5*t + 3 - 3))*(-4 + 9*t**3 + 4).\nAnswer: -477*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 33*r + 52. Let b be f(32). Let d(x) = 19*x + 21*x + b - 55*x + 14*x. Give d(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z**5 - 881196*z**4 - 9242235216*z**3 + 39622114986*z**2 - 38304151755*z + 7925153202 = 0. Calculate z.\nAnswer: -20983, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -10*g + 6. Let k be f(-5). Let u = k + -22. Does 17 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jy when two letters picked without replacement from swwyjswsswjswywsss?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 2 + -2 + (((sqrt(76) + -3)**2 + sqrt(76))*-4 - sqrt(76)))*2*-6.\nAnswer: -480*sqrt(19) + 4080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, 1979, 1\/5, 0, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (52\/14)\/((-54)\/(-29673))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 314 and 66.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 919 is divided by 78?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1687 + -1051. Let y = z + -635.9. Let t = 0.7 + -6.7. What is the closest to y in 5, t, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**5 - 3*k**5 + 5*k**5 + (-2*k**4 + 0*k**4 + k**4)*(-3*k + 0*k + 2*k) + 14*k**5 + 3*k**5 + k**5.\nAnswer: 18*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (105*j - 200*j - 164*j + (0*j + j - 3*j)*(3 - 1 + 0) - 3*j - 2 + 5*j + j)*(6 + 23 + 0).\nAnswer: -7540*j - 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9938.\nAnswer: 2, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-1\/2)\/x)\/x)\/x**6)\/(x**(2\/5))**(1\/24)*((x\/x**(-2))\/x)\/(x*x**3*x*x)*x*(x**5*x)\/x*(x\/(x**4*x))\/x assuming x is positive.\nAnswer: x**(-691\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x - 8 = 0. Let h(r) = -4*r + 3. Let t(z) = 11*z - 8. Let n(i) = x*h(i) - 3*t(i). Let s(d) be the second derivative of d**4\/6 + 2*d. Give n(s(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 6*v**2 + v + 7. Let j(f) = f**2 + f + 1. Let q(h) = 3*j(h) - l(h). Let r be q(3). Suppose a = r*a - 2. Solve y + a*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 372, 329, 304, 333, 452, 697, 1104?\n\"Answer: 6*l**3 - 27*l**2 - 4*l + 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -883 + -210?\nAnswer: -a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 741, 3, 5, -1, -26, 4 in descending order.\nAnswer: 741, 5, 4, 3, 0, -1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/((d\/(d*d**25*d*d))\/d)*d**(-9\/2) assuming d is positive.\nAnswer: d**(49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from vvvvldvddvldlvlkvvld.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -250446681 and -33?\nAnswer: 250446648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -210 (b) -2 (c) -21494\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/(-182)*1\/2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1472*-20.07\nAnswer: 29543.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -25*b + 7. Let y be o(-1). Solve 3*k + 7 = w, w = 3*k + 5*w + y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258.1907ml in litres?\nAnswer: 0.2581907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -12. Let l = -11 + x. Which is the closest to 0? (a) 0 (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61923 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 539189434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/12*(1078\/49 - 18) + 92*-1\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -953400*c**2 + 476693*c**2 + 476704*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 3*c + 4. Let d be f(-3). Let a(t) = 0*t + d*t - 5*t. Let p(v) be the third derivative of v**4\/12 - 13*v**2. Determine p(a(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 7*q**5\/120 + q**4\/12 + q**3 - 2. Let j(o) be the third derivative of w(o). Does 15 divide j(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 + 1783\/(-1656) + 46\/23 and -139\/24.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 4. Suppose 4*x + a = -x + 2496, 2*x - 1016 = r*a. What is x rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7078 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 86, 169, 276, 401?\nAnswer: 538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -51*t**3 - 11*t**2 - 11*t. Let g(y) = -17*y**3 - 4*y**2 - 4*y. What is -11*g(v) + 4*q(v)?\nAnswer: -17*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12256 = -30*g + 1214. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 22*c + 31*c - 47*c.\nAnswer: -38*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2 + 2 + 1 + sqrt(500) - (3*sqrt(245)*2 + sqrt(720)*-2 + sqrt(10)\/sqrt(2) + 0))**2.\nAnswer: -18*sqrt(5) + 406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 20.5, -0.2 in ascending order.\nAnswer: -5, -0.2, 20.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -32*c + 49. Let u(n) = -5*n + 9. Calculate 6*t(w) - 39*u(w).\nAnswer: 3*w - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**3 + 4*p**3 - 14*p**3 - 29*p**3.\nAnswer: -33*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27141 - -27134. What is the third smallest value in q, 29, -0.5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7159.4*0.06\nAnswer: -429.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/2139 and -29\/1242.\nAnswer: 38502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 19*d + 22. Let r be w(-18). Suppose 5*b + 4 = r*n, 3*b = 4*b + 5*n - 5. Let s(p) = -p**3 - p + 3. Determine s(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41786 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61611, 61613, 61615, 61617, 61619, 61621?\nAnswer: 61623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -1637*p**2 - 917*p + 526. Find the first derivative of w(u) wrt u.\nAnswer: -3274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z**2 + z. Let g be u(-2). Let h = 26 - 18. Suppose q = -h + 14. Solve -d + q*d - g = -4*m, 3 = m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - k**2 + 3 + (k - k + 2*k)*(3 - 2*k - 3) - 1432*k - 1086*k**2 + 1432*k.\nAnswer: -1091*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/11, 81004, 0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6158218 is divided by 1231621?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i = -64. Suppose 0 = 125*t - 116*t + 117. What is the remainder when (13\/(t\/(-66)))\/((-15)\/(-10)) is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**2 + 1\/3*w**3 - 3 + 0*w. Factor m(z).\nAnswer: z*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16\/28*(-28)\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*((-1)\/(-4) + 3\/12). Solve 2*t - 3 = y, -3*t - 2*y + p = -0*y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 107, 222, 341, 464, 591?\n\"Answer: 2*m**2 + 109*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9968\/84016)\/((-22)\/4 + 2)?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1247411621153 + -2.8.\nAnswer: -1247411621155.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*1\/4*44\/33. Solve 4*v = o, -3*q + 2*v - 4*v = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 9*y + 2. Let z be s(-9). Suppose -f - a + 3 = 2*a, 5*f + 4*a = 37. Suppose 3 - f = -3*g. Is g != z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10708897361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 9 = 18. Suppose 4*f = -0*f - p*n + 1282, -2*n = -3*f + 970. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-6 - 3) - 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2556644 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + -6. Let k = -19 - h. Solve k = 5*o - 3*y - 20, 5*o - 2*y - 15 = -0*y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 378696, 378849, 379104, 379461, 379920?\nAnswer: 380481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5 - 1. Suppose -z - 340 = d*z. Let i = -40 - z. Calculate the remainder when i is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -197*g**3*r**3 + 9067039*g**3 + 65*r**3 + 8*r with respect to r.\nAnswer: -591*g**3*r**2 + 195*r**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 40*x**2 + 12*x - 50. Is v(9) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1916 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 10*x - 15. Let y = -350 + -467. Let w = -815 - y. Calculate u(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 9*u. Let w(h) be the first derivative of -2781*h**2\/2 + 11075. Determine w(n(j)).\nAnswer: -25029*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3030 - 4710 = 238*r - 23335 - 1907 for r.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -118*r - 1790. Determine z(-16).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 6:16 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/16 and 67\/21522.\nAnswer: 172176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4*q + 11 = 0, -u - 3*u + 14 = -2*q. Suppose 0*y = -y + r + 20, u*y = 5*r + 62. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157417091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 94, 7, -137 in decreasing order.\nAnswer: 94, 7, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 3*v - 3*b + 45, -5*v - 7 = -6*b for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n**2 + 7*n + 3. Let a(s) be the third derivative of -s**5\/12 + s**4\/4 + s**3\/2 - 105*s**2. What is -5*a(w) + 4*b(w)?\nAnswer: w**2 - 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fobbfbbbbfbbf. What is prob of sequence bfff?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 66 + 18. Let f be 0*(-3)\/(-6) + k. Let s = f + -37. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30445 - 4?\nAnswer: -30451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 92 = -5*z, 0 = -5*p + 11 - 1. Let b = z + 31. Suppose b = 2*v - 37. Calculate the remainder when v is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2274*n - 18196. Give v(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 92352, 92345, 92336, 92325?\n\"Answer: -k**2 - 4*k + 92357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 5*c - 4. Let w be j(-4). Let x = -958 + 962. Suppose 2*r = w + x. Calculate the remainder when r is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**5\/3 + x**4 - 5*x**3\/3 - x**2 + 4*x\/3 = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39110.4 + -39110. Let j(m) = m - 8. Let f be j(0). Let z be (2\/4)\/(10\/f). Which is the closest to z? (a) 3\/2 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72761379.\nAnswer: 3, 24253793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 10\/33, -2\/3, -2 in decreasing order.\nAnswer: 10\/33, 2\/19, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -15224\nAnswer: 5\/7612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.1 - -3. Let f = 0 + 0.5. Let v = f + a. What is the third smallest value in 2, v, -1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + 1. Let n(l) = -5. Let h(k) = -k - 1. Let q(m) = 2*h(m) + n(m). Let u(y) = -6*b(y) - q(y). Is u(1) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -120162 - -120136.9995. Let x = -25 - g. Round x to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 3*m - 4*t - 103, -3*t + 162 = 5*m. Let j be -33 + m - ((-7)\/9 + 1). Which is the smallest value? (a) 1 (b) 0.03 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 8. What is the units digit of j + 5 + (-12)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*d + 135 = 0, 0 = d - 1 - 4. Factor 80*q - a*q**2 - 16 - 12*q**2 - 120*q**3 - 289*q**4 + 253*q**4.\nAnswer: -4*(q + 2)**2*(3*q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 666\/8 - 11\/44?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t. Let r(p) = -2939608*p. Give r(z(j)).\nAnswer: -14698040*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 172.7924 + 0.2076. Let f = 127198769927.000000534 + -127198770100. Let a = y + f. Round a to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 18*k**2 - k - 28. Let r be l(-18). Let m(t) = t**2 + 11*t + 3. Calculate m(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 + -34 + 33 + -9\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -0.0791?\nAnswer: -0.0791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 401707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in nine tenths of a milligram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.147582319 to 4 dps.\nAnswer: 0.1476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 2*j + 3*j - 2*o, -5*j = 3*o - 38. Let s(f) = f + 13. Suppose 0 = -5*y + 6*y + 6. Let a be s(y). What is the highest common divisor of j and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.86, 12, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 15*r**2 + 26*r + 11. Let c be j(-13). Suppose c*h = -46 + 90. Solve h*l + 3*p + 4 = 0, -1 = 3*l + 2*p + 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 8*r = -42. Suppose 3*m + 12 = r. Calculate the highest common divisor of 12 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2 less than -2989295?\nAnswer: -2989291.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (269 - 269 + 25*w)*(-2*w - 4 + 4) + 39 - 39 + 95*w**2.\nAnswer: 45*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15.11 - 10.78. Let r = 0.33 - p. Which is the nearest to 1\/3? (a) r (b) -3\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/8)\/(380\/6080).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 4 = -3*f, -f = 2*f - 3*y - 9 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2. Let s(a) be the second derivative of -a**4\/6 - 27*a. What is s(i(k))?\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -515 - 1435315?\nAnswer: -1440234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1363 greater than or equal to -1363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -4\/3. Which is the third biggest value? (a) n (b) -1\/2 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -3, -4, -287, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*f - 9, -4*y + 2*f + 40 = 0. What is the remainder when y is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1444 and 137902.\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 165 + -136. What is the remainder when 114 is divided by l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005148 rounded to five decimal places?\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + (-5*sqrt(243) + 1)**2 - 5*(sqrt(3888) + (4*(sqrt(3888) + sqrt(3888) + 1*sqrt(3888)))**2)).\nAnswer: 540*sqrt(3) + 5586568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 45, 76, 121, 186, 277?\n\"Answer: v**3 + v**2 + 21*v + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 1722 + 318. What are the prime factors of r?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a**2. Let i(g) be the third derivative of 0*g + 0 - 50*g**2 - 1\/6*g**4 + 0*g**3. What is s(i(j))?\nAnswer: -80*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 291064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -364 + 632. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/(-22)*(-2)\/(-5) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 12 - b**3 - 10*b**2 - b**2 - b. Suppose 0 = g + 6*g + 84. Let j be o(g). What is j rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + w**2 - 2*w. Let u(d) = 3*d - 3*d**2 - 6*d + 2*d**3 + 4*d**2. Let t(z) = -10*h(z) + 6*u(z). Factor t(m).\nAnswer: 2*m*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 - 2.97. Let u be 2*(-10)\/(-15)*6. Let i be (-6 + u)*1\/2. Put i, -1\/8, h in increasing order.\nAnswer: h, -1\/8, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -40, -5, 3 in increasing order.\nAnswer: -40, -5, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(180)\/sqrt(3))\/((-1*sqrt(72))\/sqrt(6)) - ((sqrt(15)\/sqrt(3) - sqrt(5))*-6 + sqrt(5) + sqrt(20)*5 + 3))**2.\nAnswer: 30*sqrt(5) + 134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -324.82 - -340. Let a = m + -0.18. Let u = -14 + a. Sort 1\/3, u, -3.\nAnswer: -3, 1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-1 - (3 + -11)) + -19.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -560*j + 560*j + 3*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36621*k - 24715?\nAnswer: -36621","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*d + 298 + 45*d + 96.\nAnswer: 2*d + 394","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*j**2 + 9*j**2 - 5*j**2 - 2*j**5 - 3*j**2 wrt j?\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**5\/20 - c**3\/6 - 10*c**2. Calculate b(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2350, 0.5, 35\/24?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -64007, -64010, -64019, -64034, -64055?\n\"Answer: -3*z**2 + 6*z - 64010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wy when two letters picked without replacement from wyww?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81 divided by -27.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h + 14*h - 550. Let i = -110 + h. Suppose 3*k + 2*k = 20, i = -2*j - 4*k + 5274. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21223 + -23312210?\nAnswer: -23230321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133 (base 4) to base 7.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/2088 and 115\/5166.\nAnswer: 599256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 184504.052 + -184598.044913. Let f = 90.9929 + o. Let q = 3 + f. Round q to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w - 15. Let j be z(6). Suppose -j*t = -29*t. Which is the closest to t? (a) -2\/15 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9287, 18574, 27861, 37148, 46435?\nAnswer: 55722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 - 66 = 26*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 49791, 99585, 149379, 199173, 248967, 298761?\n\"Answer: 49794*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -11. Suppose -b*y - 4*z + 50 = 0, -4*y + 2*z = 4*z - 100. Calculate the greatest common divisor of y and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/61374 and 77\/40916.\nAnswer: 122748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4*j + 2)*(-1245*j - 9701*j + 867*j + 623*j) to a*j**2 + b*j + i and give a.\nAnswer: -37824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 24*t - 2. Let r be y(2). Let p = -27 + r. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10184570, 10184574, 10184582, 10184594, 10184610, 10184630, 10184654?\n\"Answer: 2*i**2 - 2*i + 10184570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -30253211?\nAnswer: 30253220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 228163459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*r - 156*r - 151*r - 36 + 506*r + 69 - 33.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/6)\/(1\/(-3)). Let r be (0 - 6\/k)*2. Suppose 0 = -4*j - 2*j + 12. Calculate the highest common factor of r and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/88 + (-12)\/66. Suppose -b = -2*a + 3806, m = -9*a + 6*a - 3*b + 5718. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226843?\nAnswer: 226843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**4 - 882*o**3 - 17691*o**2 - 46854*o - 30048 = 0.\nAnswer: -16, -2, -1, 313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c - 1 + 1 = 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 5 = -5*x. Suppose x*t + 10 = 0, -2*p + 12 = 3*p + 4*t. Suppose l - 5*l = -p. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/264)\/(-5)*-12?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(17\/4)*o**11\/o)**30 assuming o is positive.\nAnswer: o**(855\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1476.448 from -0.33763.\nAnswer: -1476.78563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.5, -1, 4 in increasing order.\nAnswer: -1, 0.5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -9*w - 121. Determine q(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + s**2 - s)*(-3 + 4 + 1)*(-4 + 0 + 3) - s + s - s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2627772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 6:07 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-8)*1*-2*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*a = -6*a + 66 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 13*o**2 - 28*o + 31. Let d be g(-15). Is 47 a factor of ((-731)\/(-6))\/d - (-13)\/78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 6*w**2 - 2*w - 8. Let f be i(-6). Let b = 58 + f. Suppose -25*o + 79 = -321. Calculate the remainder when b is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -349.0000454 - -349. What is v rounded to 6 dps?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 512 (base 6) in base 15?\nAnswer: c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4228 = 4*r, -4*r - 991 = 5*h - 6303. Calculate the highest common factor of h and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -203, 57, -3 in descending order.\nAnswer: 57, -3, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 858 and 1209.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29713*f - 29678*f - 630 = 0 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(792)*4 - sqrt(792) - sqrt(88)\/sqrt(64))\/((sqrt(36)\/(sqrt(2)*2))\/(sqrt(225)*2)).\nAnswer: 355*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27610 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14319636 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(64\/(-36)) - (-200)\/40?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b**(-6\/7)*b)*b*b**(-27)\/b*b*((b**(-6\/13)\/b)\/b)\/(b\/((b*b**(-16))\/b)) assuming b is positive.\nAnswer: b**(-4059\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 182 - -567380?\nAnswer: 567572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -14. Let a be (2\/d)\/((-2)\/24). Which is smaller: a or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 3*q - 3*q)*(2*q**3 - 4*q**3 + 3*q**3) + 3*q - 3*q - 2*q**4 + (3*q - q - 3*q)*(-2*q**3 + 3*q**3 + q**3).\nAnswer: -3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4996, 20007, 45038, 80101, 125208, 180371?\n\"Answer: 2*u**3 + 4998*u**2 + 3*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -9*(-13)\/3*(-2)\/(-2). Let n = w + -33. Find the third derivative of 2024*z**n - 11*z**2 - 12*z**2 - 2044*z**6 wrt z.\nAnswer: -2400*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3, -16, -83, -222, -457, -812, -1311, -1978?\n\"Answer: -4*k**3 + 9*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155373400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -269 - -5.\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/3 - 3260*c**2 - 39133*c\/3 - 9784.\nAnswer: (c - 9784)*(c + 1)*(c + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1)\/l**(-2)*l**(-2)*l**(-4)*(l**(2\/3)*l**(-2))\/(l\/(l\/l**1))**(8\/7) assuming l is positive.\nAnswer: l**(-157\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-13) + (-219)\/(-13). Let u = a - 4. Suppose 4*p - 3*t - u - 2 = 0, t = 3. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -20. Let m = 13 + o. Suppose 0 = -12*r + 41 + 19. Sort -10, m, r.\nAnswer: -10, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2590 - 2569. Solve 3*i - 16 = -i + 4*o, -c = -4*i + 5*o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 10:44 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41638698 is divided by 139.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(2 + -3) - -2. Let p be 1*a\/2*-4. Factor 0*w + 0 + 0*w**4 + 1\/3*w**5 + 0*w**p - 1\/3*w**3.\nAnswer: w**3*(w - 1)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (13 - 19 - (2 + -7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60369 divided by -1?\nAnswer: -60369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13540*c**2 - 13508*c**2 - 3534 + 3534 + 27062*c**2.\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*4*5*-1. Let q = 168 + -65. Let i = w + q. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57284 to the power of 1\/2, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*o, -4*g - 2*o - 9 = -5*g. Suppose 5*p - g = -1. What is the third smallest value in p, -3, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 731 divided by 17?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 73031696 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234*f = -275*f + 2182594. What are the prime factors of f?\nAnswer: 2, 43, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3387824, -3387823, -3387822, -3387821, -3387820?\nAnswer: -3387819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 23*d**2 + 48*d + 62. Let t be j(25). Let a be -3*(20\/(-3))\/1. Let r = a - t. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 68760 = -842*s + 20*s - 318*s for s.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -422\/11? (a) -5 (b) 3 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 28*3\/(7 + 2). Let b = 9 - y. Let s be (-1)\/2 - (-42)\/12. What is the nearest to 2 in 3\/4, s, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*q, 5*o + 214 = -2*q - 2*q. Let b be 8\/12 - (-25)\/o. Suppose 5*f = -2*x - 25, 15 = 3*x - 2*f - f. Is b not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wbwb. Give prob of sequence wwbb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 322802733 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**4 - w**4 + 7*w**4)*((-1 + 1 - 1)*(-2*w + 4*w + 0*w) + 2*w + 7*w + 5*w).\nAnswer: 60*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 12 = 2*h. Suppose o + r = 6, -h*r + 11 = -4*o + 3. Solve -3*j = -u - 3, -u = u - 4*j + o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 4*l**2 - 3 + (-l + 1 - 1)*(l + 2*l - l) - 12*l + 12*l - 9*l**2 - 62*l**2 + 99*l**2 + 94*l**2 to the form x*l + u*l**2 + o and give u.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -209*x - 12742. What is o(-61)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -97*m + 38. Let y(u) = -24*u + 9. What is -2*c(z) + 9*y(z)?\nAnswer: -22*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -130.72326625.\nAnswer: -130.42326625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71830, -287236, -646240, -1148836, -1795018, -2584780?\nAnswer: -3518116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 8:06 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/509, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 184.0931mm?\nAnswer: 0.1840931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 less than -13\/147975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yx when two letters picked without replacement from xpmyl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c + 3 - 3)*(-51 - 22*c + 51 - 2*c**3) - 3*c**4 - 6*c**4 + 4*c**4 in the form a*c**3 + g*c**2 + h*c + t + f*c**4 and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lsw when three letters picked without replacement from {w: 1, k: 2, l: 3, z: 2, s: 3, a: 7}.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 27*j**2 - 88*j - 81. What is i(30)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3))**39*n**(-1\/7)*n*n**(5\/6)*(n**(-1\/4)\/n**(-2\/3))\/(n**(-2\/9)*n\/(n\/((n*n**(-3))\/n))) assuming n is positive.\nAnswer: n**(-1933\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 32173 divided by 32173\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + 0. Let k = o - 0.4. Let s(f) = f**3 + f + 1. Let y be s(0). Which is smaller: k or y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0427 + -0.0427. Sort 8, b, -4, 3\/8.\nAnswer: -4, b, 3\/8, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 9:00 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1491 is divided by 1449?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 422 + -111?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = s + 7, -3*s = -0*s - 15. Suppose -42 = -t*m - 3*w, 3*w + 37 = 4*m + 2. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*32*(39\/6 - 6). Suppose -x + 74 = -2*u. Solve -u*f - 3*f = 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s - 31. Let g(c) = -4*c + 57. Let w(l) = 6*g(l) + 11*y(l). What is w(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 8*f = 2*q + 22, 0 = 4*f - 2*q + 6. Let j(w) = -8*w**3. Let l(z) be the third derivative of 3*z**6\/40 - z**2. Calculate f*l(o) - 5*j(o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 6*f + 3. Let b be a(7). Let r = b - 14. Does 7 divide 1\/(((-4)\/21)\/r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -514*y - 2846. Is 19 a factor of o(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**5\/11 + 874*w**4\/11 - 95046*w**3\/11 - 95922*w**2\/11 = 0?\nAnswer: -1, 0, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10\/811 - -18113\/43794. Find the common denominator of h and -49\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21628242 and 3456.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33870, -135411, -304620, -541497, -846042, -1218255?\nAnswer: -1658136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -780622 equal to -780618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 50, 67, 82, 95, 106?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 3*b, 25*o = 26*o + 2*b + 7. What is the closest to -1 in o, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*y + 20*y + 25. Suppose -d + 2 = 3*q, -y*q + 26 = 3*d - q. What is the second derivative of -15*a - 4*a - d*a**5 + 23*a**5 - a wrt a?\nAnswer: 180*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -12. What is the closest to 2\/3 in v, 2\/5, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 28436331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*v**2 + 8*v**2 + 40*v**2.\nAnswer: 102*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 9 = 3*z, 5*j = -z - 18 - 9 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 5*o + 47. Calculate f(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 9*o + 27. Let f(w) = -13*w - 40. Let k(h) = -7*c(h) - 5*f(h). Calculate the remainder when 94 is divided by k(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6695.5123 to the nearest integer.\nAnswer: -6696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*k - 341*k - 43366 + 8431 = 0. Which is bigger: -83 or k?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187896553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 1845*k - 1842.\nAnswer: -3*(k + 1)*(k + 614)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*n = -0*n, 3*k - 2*n = 16. Let w be 12\/k + 2450\/(-413). Which is bigger: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 4*i**2 + 4*i - 7. Suppose -5*r + 18 = -7. Let t be n(r). What is the tens digit of -2 + 0 + t\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29.29 + -32.29. Which is the nearest to -1\/3? (a) h (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -24092145 and -24092140 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l - 11. Let r(i) = -i**3 + i**2 - 6. Let w be r(0). Let u be c(w). Is 1 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3))**31*y**(-13)*y**(-2\/5) assuming y is positive.\nAnswer: y**(-356\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.6 (b) 59\/6 (c) -5 (d) 3 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, e: 13, n: 2}. What is prob of picking 1 y and 1 n?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(304) + 0)*2 - (sqrt(684) + -1 - (sqrt(1539) + 5)))**2.\nAnswer: 44*sqrt(19) + 2303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dttt when four letters picked without replacement from otottdo.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*108\/(-8)*8\/(-12). Let l(u) = -257*u - 152. Is l(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 430*q - 427*q = -5*s - 7, -8*s - 3*q - 4 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -0.1, 2, -27?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -326791\/3 and -108929 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 225*u**2 - 469*u - 2696. Calculate r(-227).\nAnswer: 709","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87\/670 + 2\/67. Sort -4\/7, -1\/4, 1\/4, q.\nAnswer: -4\/7, -1\/4, q, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189 - 85 = 13*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i - 3. Give l(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/33 + 2\/(-11). Suppose -2*l - 1996 = 2*x, 4*x = 8 - k. What is l rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(56)*2)\/(sqrt(8) + 2*sqrt(200)).\nAnswer: -8*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*t - 6*t + 14 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(6)\/(sqrt(2)*2) + -1 + sqrt(3) + (-4*sqrt(3)*2 - sqrt(3) - sqrt(3)))**2.\nAnswer: 14*sqrt(3) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 17 = 5*l, -3*l - z - 369 = -356 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -656 (base 12) in base 3?\nAnswer: -1021110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 33*p - 513. What is k(13)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -61, -112, -157, -196, -229, -256, -277?\n\"Answer: 3*i**2 - 60*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 1176*l**2. Let r(s) = -10*s**2. Calculate f(r(b)).\nAnswer: 117600*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r*r**0)**(1\/17))**(-5\/8) assuming r is positive.\nAnswer: r**(-15\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) + 4*sqrt(150))\/sqrt(3))\/(sqrt(40)\/(4*sqrt(4))).\nAnswer: 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*j - 8 = -27 - 31. Sort j, 3, -641, 0.\nAnswer: -641, j, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -9*f - 230. Calculate the remainder when 203 is divided by r(-36).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 7:00 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (938\/(-28))\/(1\/(-34)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 2, -4, 225882, -8 in increasing order.\nAnswer: -8, -4, -3, 2, 3, 225882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.075 + 0.075. Let c = n + 2.07. Let g = c + -50.07. Is 0.1 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 5)*(-1 + 2 + 0) + 1 + 0 + 1 + (-3 + 2 + 4)*(-2 + 3 + 2))*(-25 - 4*x + 25 + (4 + 0 - 6)*(x - 2*x + 0*x) - x + 2*x + 0*x).\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2561361742 - -1.5.\nAnswer: 2561361743.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2482654 + -4369470903\/1760. Calculate the common denominator of x and 9\/32.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-262*z**3 + 370*z**3 + 376*z**3)*(-2*z + z - 2*z).\nAnswer: -1452*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-8))\/(-3)*0\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 7:56 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.9 + -2. Suppose -2*o + 3*t - 7 = -1, t - 3 = o. What is the third smallest value in -1\/5, i, o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 5*v - 1 + 68 = 1, -4*v - 156 = 4*i - 0*v for i.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12676400 a multiple of 688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1755, 4, 0.4, -230?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*a - 2896 = 106*a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*o - 1 - 2 + 3.\nAnswer: -63*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from biibibiibbiii. Give prob of picking 2 i.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2024*k = 1013*k + 999*k + 24. Determine m so that -3\/2*m - 1\/8*m**4 - 1\/2 - 13\/8*m**k - 3\/4*m**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 22 - 7 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4621813557 is divided by 6993.\nAnswer: 6990","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 0*d**3 + 2*d**3 + 14 + d - 3*d**3. Suppose i = 2*i - 22. What is the lowest common multiple of y(0) and i?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of h**2 - 1. Let f(k) = 2*k. Let m(w) = -10*w. Let l(g) = 9*f(g) + 2*m(g). Calculate l(p(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 21. Let k = 181 - 173. Let w be (z\/(-4))\/(6\/k). Which is greater: w or -15\/8?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8097479?\nAnswer: 13, 31, 71, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 55 in 0, 1\/2, -0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 8*a = -5*y + 95, -3*y = 5*a - 33. Calculate the greatest common divisor of y and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000072216622 to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2145181575?\nAnswer: 3, 5, 71, 402851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-225)\/3420)\/((-6)\/(-8))*(-6)\/15?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 15 = -5*y. Suppose -5*q + 52 = y*u, -3 = 2*u - 2*q - 27. Calculate the smallest common multiple of 12 and u.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (2 + -3)*1. Solve -3*k + 0*v = f*v - 9, 2*k - v - 9 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-45)\/(-6))*(-58)\/464?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10230102 (base 4) to base 6.\nAnswer: -224550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.1 - 3. Let f = 0.1 - m. Let x = 0.2 + f. Which is the closest to -1\/3? (a) x (b) -5\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 28*s - 362. Let m be h(13). Suppose 0 = 3*n + n - 12. Solve -n*t - d = 8, 4*t - m*t = 5*d + 23 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -2*m**2 - 4. Let t(v) be the second derivative of -5*v**4\/12 + 26*v + 2. What is t(a(h))?\nAnswer: -80*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a + 46. Suppose 3*l - 270 = -3*n, 2*n = 2*l + 7*n - 165. What is the remainder when l is divided by z(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 12\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -10*p**3\/3 - 3*p + 2508. Let n(l) = l**2. Calculate n(c(x)).\nAnswer: 100*x**4 + 60*x**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 2574?\nAnswer: 18018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 220 and 29150?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7437064 and 309692.\nAnswer: 2228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*q**3 + 4*q**3 + 2*q**3 + 935 - 24*q**3 - 2605 + 3*q**2 - 74*q wrt q?\nAnswer: -3*q**2 + 6*q - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by 8\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*p = 116*p + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 9643*y + 2. Let a(h) = -4*h. What is f(a(v))?\nAnswer: -38572*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78717 and 285.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-10) - 39\/65. Solve x = -8*k + 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149813899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 770d5c - -5?\nAnswer: 770d62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 3:20 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-6) - (-1517)\/246\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.3 (b) -3.01 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*b - 25 = 0, -7 = u + 5*b - 3*b. Suppose -4*y = 4*m - 8, 9*y = 11*y + 3*m - u. Solve -15 = y*o - 35 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 78*a - 2. List the prime factors of n(2).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.7 + 3.3. Let p = -13.1 + h. Which is smaller: p or 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10716, -87938, -297530, -705678, -1378568, -2382386?\nAnswer: -3783318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 12 = 4*s, -3*s - 6 - 4 = -4*m. Suppose -n = 3*d - 4*n - 12, 3*d + 4*n + 2 = 0. Let b(c) = c**3 + 0*c**3 + c**s - d + c**2. What is b(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*m + 130*m - 2 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -9. Suppose -q - 18 = -r*q. What is the least common multiple of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4288500 to the power of 1\/2, to the nearest integer?\nAnswer: 2071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -2, 0.29, -5?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 0, 1, -0.5 in decreasing order.\nAnswer: 18, 1, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 29 + 92. Let d = 134 + -133. Does 4 divide (5\/5*(d + g))\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -344752, -1379018, -3102778, -5516032, -8618780?\nAnswer: -12411022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -2 + (-1)\/3. Let r = 3.6 + -4. Let p = r - 2.6. What is the third biggest value in 5, p, w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 175011\/5 - 35002. Factor 13\/5*h - j*h**3 + 0 - 12\/5*h**2.\nAnswer: -h*(h - 1)*(h + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 5*t = r + 15, -t = -2*r + 15. Let d be (26\/(-10))\/((-2)\/r). What is the remainder when 36 is divided by ((-10)\/35 + 9\/7)*d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 851 + -826. Calculate the remainder when 133 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 - (8 + -4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - w + 0)*(w + 4*w - 3*w) - 3*w**2 - 3*w**2 - 2*w**2 + w**2 + 0*w**2 - 2*w**2 + (-2*w + w + 2*w)*(17 + 7*w - 17).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3407 = -20*p + 1873. Factor -308*m**3 + 208*m - 32 - 10*m**4 + 226*m**4 - p*m**2 - 20*m**4.\nAnswer: 4*(m - 2)*(m + 1)*(7*m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u - 3*u + 5*u)*(2 - 2 - 2) - 5*u - u + 3*u + (-3 + 1 + 3)*(u + 2*u - u).\nAnswer: -17*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/9)*i**(1\/8))**(-2\/3)*(i*(i**(-4\/9)\/i)\/i*i**(-3))**(-2\/11) assuming i is positive.\nAnswer: i**(949\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.997769 milligrams to tonnes.\nAnswer: 0.000000005997769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - -119. Suppose 2*k + q = 9*k. Suppose 3*z - 8*z + 30 = 0. Calculate the least common multiple of k and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5\/6 (b) 198 (c) 15\/2 (d) 2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 340125043 + -32?\nAnswer: 340125011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5988619 litres to millilitres.\nAnswer: 598.8619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k + 71 + 85 = 0. Let g(n) = -n - 82. Let p(z) = -z + 247. Let h(t) = k*p(t) + 17*g(t). What is the derivative of h(w) wrt w?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 + -56. Let p = 3 + -3.1. What is the smallest value in w, p, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 + 0.06. Let s = -272 + 277. Let x = 0.06 - 3.06. What is the nearest to n in 1\/3, x, s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*a - 1143 = 0, 4612 = -18*s + 22*s - 4*a. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/2*57\/(-2) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 26 = 5*i, 2*o - 4*i - 7 - 11 = 0. Suppose o*u - 2*u = 1535. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 4) + 6 - (-1 - 8 - -17).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 17 = a + 4*a, -12 = 3*a. Suppose 2*s = 7 + b. Solve 5*h - 12 = -4*f, 2*f - s*h - 6 = h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -48a8dbc4 - 4?\nAnswer: -48a8dbc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5083 and 10189.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3009 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(5103) + (-1*sqrt(5103) - sqrt(5103))))\/(2*(sqrt(144)*4 + sqrt(144)))*-2.\nAnswer: 9*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2\/11)*l)\/(l\/l**13*l) assuming l is positive.\nAnswer: l**(145\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (0 - 0 - -2). Let g = -3 - c. Let l = -9 + 4. Put g, -4, l in descending order.\nAnswer: g, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 11. Let y(z) be the first derivative of -2\/5*z**3 - 1\/5*z**i - 2\/25*z**5 + 0*z + 1 - 3\/10*z**4. Find f, given that y(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7340 <= 7331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*j**3 + 2*j + 176 wrt j.\nAnswer: 252*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, b: 1, x: 2, l: 11}. What is prob of sequence llx?\nAnswer: 22\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -5 - 12*w - 6 - 46*w. Let r(b) = 28*b - 1. What is the remainder when n(-2) is divided by r(1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -25 + (2 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 17*f**2 - 650*f - 74403. Determine w(88).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7115.\nAnswer: 5, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10747603 (base 9) to base 16\nAnswer: -4fc674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 7 = -3*i. Suppose 12*x - 5017 = -3589. What is the greatest common factor of x and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 6 + 18*t - 4 as y*t + h and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 39 (c) -4 (d) 30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 274293 to the power of 1\/2, to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011 (base 4) in base 6?\nAnswer: -1301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/6)\/((-29)\/(-2001)). Let d(x) = x + 37. Let r be d(b). What is the greatest common divisor of 56 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9595 and 380?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-19)*s**(-2\/21) assuming s is positive.\nAnswer: s**(-401\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 38, 58, 88, 128, 178, 238?\n\"Answer: 5*v**2 + 5*v + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4 + (sqrt(13) + sqrt(208)*1 - (sqrt(468) + 1))) - (-2 + (sqrt(52)\/(sqrt(16)\/sqrt(4)) - sqrt(143)\/(1*sqrt(11)))*1))**2.\nAnswer: -10*sqrt(13) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 12:31 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 309000 rounded to the nearest 10000?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*c**2 - 35\/2*c + 9 + 1\/2*c**3.\nAnswer: (c - 1)**2*(c + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4)*(-96)\/(-8). Let d be (-3)\/p + 27\/2. Calculate the greatest common divisor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -137 - 1\/10*6*-5. Let y = d + 188. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 8*s**2 + 9*s - 3. Suppose -59*h = -60*h - 9. What is y(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a litre in millilitres?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 1:19 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 758*s. Let j(n) = 147345*n**2 + 2*n - 2. What is j(o(g))?\nAnswer: 84659132580*g**2 + 1516*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -1164.3.\nAnswer: 1164.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 - 23. Suppose 5 = -5*i + 20, -3*k + 9 = i. Suppose -4 + 28 = k*b. Calculate the remainder when p is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -43\/31 (b) -3 (c) -0.4 (d) 4\/5 (e) -0.05 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 338 (base 10) to base 11\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 14) in base 16?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -43*i - 36. Let b(m) = -22*m - 18. Let v be (1\/(-3))\/(14\/378). Let w(k) = v*b(k) + 4*u(k). What is the first derivative of w(n) wrt n?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10955 - 10956.2783. Let c = j + 1.28. What is c rounded to 4 decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71878 - 10065. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 101 or 39?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 40, 3\/5, 13\/4, 0.5 in increasing order.\nAnswer: 0.5, 3\/5, 3, 13\/4, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4454, 17833, 40124, 71327?\nAnswer: 111442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7006774802 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 + -58.927. Let x = 898.42582 + -898.5. Let g = x + p. Round g to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -164125, -328255, -492385, -656515, -820645?\nAnswer: -984775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 6:09 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11366562 to the power of 1\/2, to the nearest integer?\nAnswer: 3371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2633656.\nAnswer: 2, 329207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 42 (b) 1 (c) 2 (d) 194\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.971632 millimeters?\nAnswer: 971.632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-102)\/(-68)*(-7)\/((-210)\/(-4))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 1435731?\nAnswer: 4307193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 - -34. Find the second derivative of -o*h**5 - 99*h + 73*h + 11*h**5 wrt h.\nAnswer: 160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11280)\/240 - 744\/(-16)) + (1 - (-2)\/(-8)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + u - 1132*i + 1134*i = 0, -2*u = 7*i + 27 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3655 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/(-81)*8\/128*4*-117.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d**3\/3 + 4419*d**2 - 3943864*d\/3 + 238876 = 0 for d.\nAnswer: 2\/11, 534, 671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43320\/140 - (-4)\/7 is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -65*g + 3052. What is h(45)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 0 + 3\/2*m**2 - 3\/10*m**5 + 6*m + 0*m**3 + 0*m**4. What is the first derivative of b(r) wrt r?\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347404 bigger than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.025 + 1.025. Sort -0.2, t, -4.3 in increasing order.\nAnswer: -4.3, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j. Let d(i) = 2*i + 1955. Determine r(d(z)).\nAnswer: 6*z + 5865","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00659161852 to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 465272078 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1312 - 1312 + 72*i + 1 - 3*i - 1 + (-2 - 2 + 5)*(3*i - 3*i - i) + i + 3*i - 5*i - 1 + 1 - i + 4 - i - 4 + (0*i + 0*i - 2*i)*(-1 + 0 - 1).\nAnswer: 69*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10353, 5309, -3099, -14871, -30007, -48507, -70371?\n\"Answer: -1682*v**2 + 2*v + 12033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73164373 to the nearest integer?\nAnswer: 8554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 381*d + 8927. Determine j(-356).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 314369?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 15) to base 6.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -3. Is (1 - 4)*16\/l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80\/(-48))\/(((-10)\/6)\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f. Let m(g) be the second derivative of -29*g**4\/12 - 9*g**2 + 169*g. Determine m(d(o)).\nAnswer: -29*o**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - 27. Let w(k) = 2 + 5*k + 3*k - r*k. Let n(j) = 10*j + 10. Let y(s) = -20*s - 19. Let c(f) = 5*n(f) + 3*y(f). What is -2*c(o) - 7*w(o)?\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 44. Let b = r - 11. Suppose 3*x = -b*k + 43, 0 = 4*x - 5*k - 37 - 10. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 1:28 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/10*(-596820)\/76734.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -14*w**3 - 30*w**2 + 5*w - 5. Let x(b) = -6*b**3 - 15*b**2 + 2*b - 2. What is -2*q(j) + 5*x(j)?\nAnswer: -2*j**3 - 15*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 125293670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2*(sqrt(931) - (sqrt(931) + -2)))**2 - sqrt(931)).\nAnswer: -7*sqrt(19) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0143 - -1.0143. Suppose w + 26 = -0*w. Which is smaller: z or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 97944904*r - 97944904*r + 3572*r**2 + 6088 wrt r.\nAnswer: 7144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 0.1 (b) -6 (c) -5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**3\/11 - 4658*r**2\/11 - 272120*r\/11 + 276776\/11 = 0 for r.\nAnswer: -58, 1, 2386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h + 5 + 1 - 9 + h**2 + 5. Let d be m(3). Find the second derivative of 23*o - 12*o + 14*o + 35*o**d wrt o.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 1\/2*-2. Suppose x*d + 5*n - 6 = 0, 0*n - 3 = -d - 5*n. Let i = d + 1. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -920824, -1841650, -2762474, -3683296, -4604116, -5524934, -6445750?\n\"Answer: p**2 - 920829*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*f + 4*g, -4*g = 4*f - g - 52. Suppose -5*p - 36 = -4*z, 2*p - 5*z = 3*p + f. Calculate the least common multiple of 2 and p\/(-2) + (0 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 - 5)*(-1311 - 494 - 2047 + 42)*(2*v**4 + 0*v**4 - 4*v**4) + v**4 - 5*v**4 + 3*v**4 in the form n*v**2 + o*v + b*v**4 + q + w*v**3 and give b.\nAnswer: -53341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*m + 6 = 9 - 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.7 take away 0.032047?\nAnswer: -28.732047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4*w**4 - 6320*w**3 - 12*w**2 + 18968*w - 12640 = 0?\nAnswer: -2, 1, 1580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 3*j**5\/20 - 3*j**4\/2 + 18*j. What is the third derivative of v(w) wrt w?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 485\/2186 - -194177045\/24046. Let o = 1052579348181\/73040 + -1196783037\/83. Let p = o + t. What is the common denominator of -101\/4 and p?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -11108.\nAnswer: -3\/5554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c**2 + 9*c - 18. Let y(a) = a**2 - 2*a + 4. Let d(u) = -2*n(u) - 9*y(u). Let w(x) = x**2 - 3. Determine w(d(z)).\nAnswer: z**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.03, -3, 0.\nAnswer: -3, -0.4, 0, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 6:45 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 748, 1538, 2354, 3196, 4064, 4958, 5878?\n\"Answer: 13*s**2 + 751*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**4 - 6*y**2 + 8*y + 4. Let d(p) = -5*p**4 + p**3 - 13*p**2 + 17*p + 9. Let u(w) = -4*d(w) + 9*v(w). What is k in u(k) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8621 is divided by 4257?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 1\/6*j**3 + 0 - 2*j + 0*j**2. Let k(m) = 6*m**2 - m**2 - m**2 - 5*m**2. Calculate u(k(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 43*s + 334. Let d be u(33). Solve -5*j + 8 = -d*i, 0 = 4*i - 4*j - 13 + 21 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-1)\/(-5 - -1). Let p = -2.58 + 3.61. Let r = 0.03 - p. What is the closest to r in f, 2\/5, 1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -1\/4 (b) -0.1 (c) -0.4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of h**2\/2 + 1. Suppose -2*n + 0*n + 12 = 0. Let l(r) = -132 + 132 - n*r. Determine q(l(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*x - 277 + 481. Let j(b) = 4*b - 3. Suppose 0 = -3*t - t + 8. Let p be j(t). Sort -3, x, p, 0 in decreasing order.\nAnswer: p, x, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3876\/204*36\/228)\/(-2*(-2)\/16)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -157, -318, -479, -640, -801, -962?\n\"Answer: -161*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 774\/61 (b) -8 (c) -2 (d) -0.1 (e) -0.01 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -585 = -3*y - 198. Let z = -107 + y. Let v(t) = 21*t - z*t + 2 + 1. Give v(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -381*k - 14095. Determine c(-37).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 - 0.354964.\nAnswer: -1.154964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 25*d - 15. Let i(x) = 51*x - 29. What is -11*b(h) + 6*i(h)?\nAnswer: 31*h - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 14, 0 in ascending order.\nAnswer: 0, 14, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 917 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -42*x - 61. Is 30 a factor of q(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45 - 38) + (3 - 11)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3*k\/(k\/(k**(-2\/11)\/k)))\/(k\/(k\/k**0))**(3\/25)*(((k**(-1\/6)\/k)\/k)\/k**2)\/((k\/(k*k**4*k*k))\/(k*k\/k**(2\/13))) assuming k is positive.\nAnswer: k**(4717\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -105*y - 185*y + 20457307 - 1889477. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 15737?\nAnswer: 15736.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -u**6\/120 - 4*u**5\/15 - 3*u**4\/4 - 6*u**3 + 1755*u**2. Determine i(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**4 + 4*i**4 - i**4)*(-15 + 15 - 9*i).\nAnswer: 18*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0*0.51\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -15*k**3 - 11*k**2 + 11*k - 3. Let l(d) = 5*d**3 + 4*d**2 - 4*d + 1. Give 11*l(j) + 4*s(j).\nAnswer: -5*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*f = 20 - 5, 5*n - f = -24. Let m = -8.955 + -0.045. Let i be 10 + 1 - 7 - 5. What is the closest to 1 in n, i, m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22913131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-2) + 3 - 2. Let u(y) = 2*y**2 - 64*y - 61. Let j be u(33). Solve 0 = w - 0*q + x*q + 15, -25 = j*q for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78 - 68. Let o be 12\/(-5)*(525\/s)\/(-7). Suppose o = 3*y - 54. Calculate the greatest common factor of y and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + sqrt(180)\/(sqrt(4) + sqrt(196)*-1 + sqrt(4)))**2.\nAnswer: 108*sqrt(5)\/5 + 324\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -14*z**3 - 13*z**2 + 13*z - 19. Let f be n(-10). Let y = -23569 + f. Is y\/((-5)\/(-10)*-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2629336+2.871\nAnswer: -2629333.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 130 and 0.18.\nAnswer: 23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/4 + 16*d**2 + 357*d\/4 + 261\/2.\nAnswer: (d + 3)**2*(d + 58)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -135078.655 to the nearest 10.\nAnswer: -135080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-5 - 11) - (0 + 38)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 7) to base 4\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 87*r - 89*r + 10, 3*h - 1622 = -4*r. Calculate the remainder when h is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15458205599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*r - 24 = 0, -4*b + 2*r - 3*r = -8. What is the lowest common multiple of b + (-1 + 0 - -6) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001543533 to six dps.\nAnswer: 0.000154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5441 divided by -54?\nAnswer: 5441\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2.5921145+-1\nAnswer: -3.5921145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -302, -312, -328, -350, -378?\n\"Answer: -3*y**2 - y - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -12 + 46 + -63 - (-7 - -12)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 13 + 13 + (-a - a + a)*(5 + 1 - 5))*(-71032*a**2 + 4 + 3*a + a**3 + 71216*a**2 - a).\nAnswer: a**4 + 184*a**3 + 2*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13108792\/13 equal to 1008369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 4*i = 0, 19*h - 15*h = 5*i + 26 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -a246b (base 13) in base 14?\nAnswer: -77d73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 77*p + 69. Determine d(76).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 72*a**3 - 11*a**3 + 95*a**3 - 26*a**3 + (2 - 2 - 2*a)*(a**2 + a - a) - 1 - a**3 + 1 as o*a**3 + j + q*a**2 + g*a and give o.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -111972*w**2 - 32*w + 20. Let n be k(9). Round n to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 9 = x + 1, x = -2*z + 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*h**4 - h**3 - 2 - 4*h**2 + h**3 - 89*h**4 + 2*h + 42*h**4 in the form r*h**3 + a*h**2 + u + f*h**4 + x*h and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*n - 8966 = -9482 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3163746.\nAnswer: 2, 3, 527291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10453\/20 - -523. Let z(t) be the second derivative of 0*t**2 - t + 4\/15*t**6 + 1\/12*t**4 + a*t**5 + 0 + 0*t**3 - 8\/21*t**7. Solve z(c) = 0 for c.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4025 + 3521 = -14*r. Let y = r - -702. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102022 (base 3) in base 2?\nAnswer: -100110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j = 20*j - 36. Is 9\/6*-2*(-8862)\/j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2461739054?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7273 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95 - -667\/7. Let x = -28 - 7. Let j = x - -31. Is j equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 20\/9 of a day?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u - 12. Let o be r(13). Which is greater: o or 12?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*s**3 - 22489*s**2 - 28924*s - 6428.\nAnswer: (s - 3214)*(s + 1)*(7*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 48, 2 in descending order.\nAnswer: 48, 10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 102\/12 - 2\/4. Solve -2*d - m = -o, -3*o = -o - d - 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -778, -3076, -6904, -12262, -19150?\n\"Answer: -765*d**2 - 3*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 6 (c) 463 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -699.88 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, v: 2, p: 10}. Give prob of picking 2 p and 1 a.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence baw when three letters picked without replacement from wawbwwwbwwba?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of g**6\/50 + 6*g**5\/25 + 13*g**4\/20 + 3*g**3\/5 - 23*g. Factor x(p).\nAnswer: 3*p*(p + 1)**2*(p + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 4*s + 5. Let j be w(4). Let i be (2 - j) + (47 - 1). Suppose 10 = -3*t + i. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -25. Suppose -5*n = 10, 4*n + b = t - 0*t. Suppose -17 = -h - 0*u - 4*u, -3*h + 68 = -5*u. Calculate the greatest common divisor of t and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -s - q, 0 = -s - s + 2*q + 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p = 7*p + 35724. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*((-4)\/14)\/((-16)\/28)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-5)*(-5425)\/1395?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -93250715?\nAnswer: -18650143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187045 is divided by 51.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -90*c**3 + 1. Let z = -14 + 18. What is the remainder when g(-1) is divided by z - ((-6)\/3 + -17)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 31?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-167)\/(-3) - (-6)\/(-9). Let z = s - 21. Suppose 0*i = -2*i + z. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -80, -0.7 in increasing order.\nAnswer: -80, -0.7, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.75777841 - -12.70928. Let m = s - -0.0485. What is m rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 442031564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*14 + -2 + 1. Let y = n + -74. Let d = y + 199\/6. Which is the closest to -0.1? (a) -2 (b) 1\/2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**4\/12 - 5*h**3\/3 - 6*h**2 + 345*h. Determine b(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -269625*a**4 - 5*a**3 + a**2 - 721*a - 118?\nAnswer: -6471000*a - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 - 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219 = -k + 4*k. Suppose -3*q + 216 = 3*n, 6*n - 4 = 8*n. Is k bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x - 7. Let v = 7 - -35. Suppose -6*o = -7*o + v. Let r = -47 + o. What is a(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 + 363 = -141*t. Suppose 0 = -3*w, 5*h + 2*w = -w - 25. Let s be -1 - ((-17)\/h + -2). Which is smaller: s or t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, s: 1, h: 7, o: 1, g: 1, b: 2}. What is prob of picking 2 l, 1 o, and 1 s?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**4 - 9*f**3 - 54*f**2 - 12*f + 72 = 0. Calculate f.\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1, 22\/5 in descending order.\nAnswer: 22\/5, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-43)\/387)\/(2\/(-6)))\/((-5)\/(-18)). Let u be 8\/14*(-1785)\/(-150). Determine h so that -42\/5*h**2 - i + 6\/5*h**3 + 8\/5*h**4 + u*h = 0.\nAnswer: -3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 76 + 46 = 0. Suppose 4*o + 18 = -2*f, -5*f - q = -2*o - o. List the prime factors of (-1)\/(5\/(1180\/(-712)) - o).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*s + 0*s = -142*s - 166. Let i = -7 - -3. Which is the nearest to s? (a) i (b) 2\/15 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s + 27. Suppose -i - 2*v = -17, 12 = 5*v - 3. Let c = i - 2. What is the least common multiple of c and p(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j + 1859 + 93 = 0. Suppose o = -2*k + 67, 3*k + 12 = 2*o - j. Let f = o + -51. Do f and 14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59690941181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -19711 divided by 1?\nAnswer: -19711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -198 by -19.\nAnswer: 198\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13478822 and 853090.\nAnswer: 67394110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 18 = -5*q + 12*u, -4*q - 5*u = 15. Let b(r) be the first derivative of -5\/2*r**2 + 0*r - 2*r**3 - q. What is the second derivative of b(d) wrt d?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 3*y + 3 = 0, 4*q + 17*y + 9 = 15*y + 7*y for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/100)\/(4\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-138 + 63 - 83)*(-2*p**3 + p - p).\nAnswer: 316*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4523005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/8 in 1572, -631, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 769 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: Suppose 4*o - i = 27, -5*o + 0*i - i + 45 = 0. Let x = -100 - -106. Solve -12 = -4*y - 5*c, -y + 3*c = o + x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (27 - (-21 - -66)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -171, 11.8, -18 in descending order.\nAnswer: 11.8, -18, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61326?\nAnswer: 2, 3, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.1, -1\/34, -4?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t**2 - 3*t**2 + 6*t**2 + (2 - 2 + 2*t)*(-5*t + 2*t - 2*t))*(-2*t**2 - 3*t**2 + 4*t**2) as q*t + x*t**2 + w*t**4 + j + l*t**3 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 249 = 28*z, 4*z + 2*q = -39 + 17 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6*s + s - 17*s**2 + 16*s**2 - 7. Determine t(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001001100101000 (base 2) in base 5?\nAnswer: 2201142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001957 to 6 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2. Let f(w) = -4*w**2 + 4*w - 4. Let h(z) = -f(z) + 3*k(z). Let b be 1\/(-2)*(-3 + 1). Let p = b - -4. Give h(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-15)\/(-4)*1*8\/(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 111, 95, 19, -159, -481?\n\"Answer: -7*x**3 + 12*x**2 - 3*x + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, q: 3, z: 3, m: 1, k: 3, n: 2}. Give prob of sequence kmz.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*t**3 - 16*t**2 - 42*t**3 + 4*t + 77*t**3 - 57*t**2 + 3 - 2 as l*t + g + d*t**3 + o*t**2 and give o.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 351*z - 1590. Let i(p) = 175*p - 797. Let k(x) = -5*i(x) + 3*w(x). Find the first derivative of k(h) wrt h.\nAnswer: 178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 6\/2 - 16\/(-1 + -3)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 2*q + 4*q)*(26*q - 12*q**2 - 12*q - 12*q).\nAnswer: 12*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -203*g**3 + g**2 + 28243*g wrt g.\nAnswer: -1218*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9201.8 + -9200.85398. What is n rounded to two decimal places?\nAnswer: 0.95","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13982.5 and -3.\nAnswer: -13985.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2653?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 6. Suppose 470 = -g - 0*g + 3*d, -g - k*d - 475 = 0. Let o = -2336\/5 - g. What is the common denominator of -25\/9 and o?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 - 30. Let a(r) = r**3 + 5*r**2 - 2*r + 4. Let o be a(-4). Let h = o - 17. Calculate the remainder when m is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d - 37. Let t be y(-13). Suppose -t*h + 0 = 6. Which is the nearest to -3? (a) 1\/2 (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 6. Let v be q(6). Suppose 0 = -v*s + 2*s. Suppose s*u = -u + 12. Solve 0 = k - 2*j - 0 + 7, -2*k + 3*j - u = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -318*c**3 - 2*c**2 - 2*c + 2. Let o(r) = -955*r**3 - 7*r**2 - 7*r + 7. Determine 7*g(b) - 2*o(b).\nAnswer: -316*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13739, -27498, -41311, -55178?\n\"Answer: -27*h**2 - 13678*h - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, a: 1, z: 1, v: 6, j: 3}. What is prob of sequence jja?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, x: 16}. Give prob of sequence xqxx.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvl when three letters picked without replacement from {c: 2, f: 5, v: 1, l: 6, i: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 40, 73, 106, 139, 172, 205?\n\"Answer: 33*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10544 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-335)\/(-2) - 2) + (-15)\/30. Let f = s + -164. Solve -v = -l - f, -6 + 2 = -4*l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*b**5 - 7*b**4 - 1583*b**2 wrt b.\nAnswer: 1320*b**2 - 168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -545 - -2754?\nAnswer: 2208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/8)\/((-1)\/10). Let t(z) = -z**2 + 9*z - 4. Let j be t(4). Let n be (j\/(-10))\/(7\/(-35)). Solve -n = r - m*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9195 - -2626?\nAnswer: b7bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 147*y**3 - 210*y**2 - 162*y - 30. Let d be -3*4\/24*-12. Let n(o) = o + 1. Let p(w) = d*n(w) + b(w). Find r, given that p(r) = 0.\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-3) + (-13)\/(-39). What is b in 20*b**4 - 16*b + 8*b**5 - 23*b**2 - i + 6*b**3 + 8*b**4 - 2 = 0?\nAnswer: -3, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 9*s + 5. Let c be j(-9). Let t be (-3)\/(-20) + 3648\/1280. Solve -i = 2*i + c*b - 23, 4*b = -t*i + 19 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2929 is divided by 1323?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -318 + 320. Let a(x) = -9*x - 2. Calculate a(j).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 - (14 + (-46 - -44)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 107, 55, -31, -151, -305, -493, -715?\n\"Answer: -17*k**2 - k + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**5\/12 + h**4\/8 + 2*h**2. Find the second derivative of s(p) wrt p.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 34\/28 + (-4)\/(-14). Let n = 35 - 139\/4. Let w(i) = i - 2. Let r be w(3). What is the closest to r in v, -2, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 20 = -6*d. Let p(c) = 3*c**2 + 8*c + 6. What is the tens digit of p(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x**2 - 2*x - 2. What is n(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 973728 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 486 divided by -4793.\nAnswer: -486\/4793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -70157 >= -70157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 6*o. Let j(p) = 2*p**2 + 12*p. Let m(k) = 2*j(k) + 5*x(k). Let z be 6591\/8788 - 31\/4. Determine m(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3957577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 12) to base 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5045156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 16.47694t?\nAnswer: 16476940000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 219545 to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2\/7 - 5790*h\/7 - 187328\/7 = 0.\nAnswer: -32, 2927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**3 + 2*h**2 + 5*h**4 - 8*h + h**4 + 0*h**3 + 2*h**3 in the form l*h + c*h**3 + f*h**4 + s + j*h**2 and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14042)\/(-177) - 79)\/(1 + (-395)\/390)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23343 + 23283. Sort -7, 1, a, 4, -4.\nAnswer: a, -7, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 89 + -35. Suppose c = -3*a + 6*a. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-3)\/(2*1\/(-318))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-18)*36\/6 - -494. Solve -u = 9*p - 472 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 345 = 2*y. What is the remainder when y is divided by (3\/((-30)\/35))\/((-55)\/10 + 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 13*c**2 - c + 13. Let g be u(13). Let l(v) = -2*v + 8 + g - 5. Calculate l(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 44 = -5*v, -v + 5*g + 111 = 103 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**2 - 2*u**2 - 54381*u + 108800*u + u**2 - 54419*u.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/1061, -2\/13, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a meter in centimeters?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11085?\nAnswer: 3, 5, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/1460 and 103\/14.\nAnswer: 10220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 6, -2*j - q + 14 = -5. Suppose -2*b + 76 = j. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + i + i**2)*(-239 - 67 - 264).\nAnswer: -570*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 18729538.1 to the nearest 10000.\nAnswer: 18730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 4*f - 4*u - 12 = 0, u = -4*f + 3. Let j(x) = 2*x - x**f - 413 + x**3 - x + 418. Calculate j(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -772 + -5?\nAnswer: -777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2181*b - 939 wrt b.\nAnswer: -2181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -39.55\nAnswer: -39.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 656071832 and 0.4.\nAnswer: 656071832.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2\/9 - (3976\/(-288))\/(-7)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141643 (base 7) in base 13?\nAnswer: c430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14601, 14600, 14599, 14598, 14597, 14596?\nAnswer: 14595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408247445?\nAnswer: 5, 81649489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -168613 times 0.5\nAnswer: -84306.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 - 812570*l + 812570*l.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 - 65*a - 180.\nAnswer: -5*(a + 4)*(a + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 430491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8405042 = -31*v + 4807437. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -7) + -6 - (0 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.36545156 rounded to three decimal places?\nAnswer: 3.365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1586\/5 + -17416\/55. Find c, given that 0 + 18\/11*c**2 - 2\/11*c**5 - 10\/11*c**4 + 0*c - p*c**3 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d - 558 + 478 = -12*u + 7*d, -u = 4*u + 12*d + 8 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1303 rounded to 3 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 5, t: 8}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a + 18*a = 6. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, 4, 25 in descending order.\nAnswer: 25, 4, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -1. Let m = 56222 - 56222.15. Which is the third biggest value? (a) q (b) 0.1 (c) m (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190054.2 times 2.35?\nAnswer: 446627.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081015 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 163 times -7\nAnswer: -1141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 26\/56 - (-9)\/(-12). Let f = 5 - 5.01. Let i = f - -0.21. Which is the second biggest value? (a) j (b) 1\/6 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 1, -79, 13\/5, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 134801.1ml?\nAnswer: 134.8011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**3 - 6*v**2 + 32*v - 232. What is the thousands digit of i(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -7*z**3 + 9*z**2 - 11*z + 30. Let b(f) = -3*f**3 + 4*f**2 - 5*f + 14. What is -13*b(w) + 6*p(w)?\nAnswer: -3*w**3 + 2*w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2300*p - 2297*p - d + 16, 2*p = -4*d - 6 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 829\/899803 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - (1 + -2))*1189. Let p = i + 19117\/4. Calculate the common denominator of p and (-2540)\/381*-1*27\/64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -100*m**3 - 4*m**5 - 103*m**2 - 71*m**5 + 99*m**3 wrt m?\nAnswer: -4500*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 101780 and 98.\nAnswer: 712460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-3)*(-42)\/28 + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.194 - -0.05573407132?\nAnswer: 0.24973407132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t*t**(1\/2)*t*t*t*(t**(-3\/8)\/t)\/t)**9\/((((t\/(t**(-3\/5)*t))\/t)\/t**(-1\/9))\/(t**(-1))**44) assuming t is positive.\nAnswer: t**(-2371\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -762047\/34 <= -22412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 38977070017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 0*c + 20. Let i be (-46)\/c + (-4)\/(-10). Suppose 45 = 4*w + w + 4*l, -w - 20 = -5*l. Calculate the greatest common divisor of i and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.6 + 15. Let f = 1.1 + p. Let w = 2 - f. Which is the smallest value? (a) 4 (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2738634 divided by -12.\nAnswer: 456439\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-26)*((-50)\/(-12) - (-44)\/(-11))?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118976 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-51 - -61) + -23 + 15\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604802 is divided by 302393.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qepqqpppppppepzpr. Give prob of sequence ezr.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-74)\/1443*-39*(-23 + -2)*2\/4?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -0*f. Let l = 7 + 0. Suppose -3*q = 5*r - r, r - q - l = 0. Put r, -5, f in decreasing order.\nAnswer: r, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -534*n + 518*n - 7 - 89 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**5\/20 + d**4\/12 - d**3\/6 + d**2 - 2*d. Let r be q(0). Calculate the common denominator of -3\/2 and r\/(0 + (-24)\/254).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 893*m**3 + 245*m - 1011. What is the tens digit of f(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (13 - (-1 - -4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 2*z**2 - 2*z - 3. Let l be t(3). Let s = l - -15. Let w = 101.3 + -101.6. Which is the nearest to s? (a) -5 (b) w (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19*u - 1 + 3 - 15*u)*(42 - 507 - 183) to i*u + m and give m.\nAnswer: -1296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 0*b + b)*(3 + b**2 - 3).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -18) + -9 - (-6 - (-16 + 1)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-124)\/3*(21\/6 - 5). Let d = r + -24. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110, -383, -842, -1493, -2342, -3395?\nAnswer: -4658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + h - 5, -p - 1 = -433*h + 430*h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/36)\/((-9)\/12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u + 3*u + 13*u in the form r + d*u and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**3 + 2*w**3 - 2*w**3 + w**3 - 2*w**2 + 2*w**2 + (-3*w + 5*w - 4*w)*(2*w**2 + 0*w**2 - 3*w**2) - 2 - w**3 + 2.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.13 - 5.13. Let o be 2\/2*(2 - 8). Let x be ((-2)\/(-6))\/(o\/12). Which is the closest to 0.1? (a) i (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16824.77 - 14811. Round m to the nearest ten.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + sqrt(1539)*2 + sqrt(1539) + (-1 + (sqrt(1539) + -1 + sqrt(1539) - sqrt(1539) - sqrt(1539)))**2)*-5*-4.\nAnswer: 200 + 1080*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -0.01 (b) 2\/7 (c) 2448 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 13*d**2 + d + 16. Let t be a(-13). What is the tens digit of 4 - (-106)\/6 - 2\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 22250*r - 44509. Determine v(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 82 in -89, 1, 0.04?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3130150 (base 7) in base 3?\nAnswer: -201011012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9\/((-270)\/(-10256)) + 4\/30 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 1140*y**2 - 13*y - 12. Let b(o) = -3420*o**2 + 41*o + 38. What is -6*b(j) - 19*u(j)?\nAnswer: -1140*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12266049, -24532100, -36798153, -49064208, -61330265, -73596324, -85862385?\nAnswer: -98128448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 772 - 767. Solve -3*t - 4 = -o, -5*o + 3*o - j*t = 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - 3175. Let l(r) = r**2. What is n(l(h))?\nAnswer: -h**2 - 3175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l - 13. Suppose 5*t = 49 - 9. Let u be (-12)\/10*(4 - (-28)\/t). Let n(a) = a + 3. Calculate u*n(h) - 2*d(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 117 = -378. Let s = 61 - p. Let t(g) = -g**2 + 6*g - 8. What is t(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 621732, 0.034 in decreasing order.\nAnswer: 621732, 0.034, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86\/7 - 12. Let y = 102.03 - 102. What is the nearest to -2\/5 in -1, h, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-16)*c)\/c*c\/(c*c*c*c*c**5) assuming c is positive.\nAnswer: c**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 282434 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -672 + 1411. Let g = 1236 - r. List the prime factors of g.\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-1 + 1 + (-29 + -15 - -41)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d + 0*d + 4*d + (-10 - 2*d + 10)*(-1 + 0 + 8 + (-2 + 6 - 2)*(-2 + 2 - 1) + 3 - 6 + 2).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (11 - (14 + 2))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1302 - -3?\nAnswer: -1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (-8 - (-2 + -10))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - -10. Suppose x - 31 = t. Let u = 15 + -10. What is the smallest value in u, t, 1\/3, 0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**3 + 4*x**2 - 2. Let s(r) = 2*r + 1. Let z be s(1). Let u be h(z). What is the greatest common factor of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -b + 3*k - 1, 4*b + 8 = -3*k. Let c be (3\/b)\/((-21)\/(-196)). What is the tens digit of (104\/(-14))\/(4\/c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3865 + 3859. Let h be ((-2)\/(-18))\/((-2)\/4). Sort -0.1, 0, u, h in ascending order.\nAnswer: u, h, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + (-2 - (-1026)\/(-38)) + (-16 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4281, 8765, 13247, 17727?\n\"Answer: -p**2 + 4487*p - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrnjnbrjnn. What is prob of sequence nrbr?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000010093 to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/((-168)\/54)*((-273)\/(-99) + -3). What is c in -2\/11 - 6\/11*c - 2\/11*c**3 - u*c**2 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 936270 is divided by 148?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 7:08 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 90 - 91 - 3*f. Let p(z) = -z**3 - 7*z**2 - 6*z + 2. Let b be p(-6). Suppose 4*c - 2*k = 0, -b*c - k = 2*k - 16. Calculate t(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 14*r + 52. Calculate the remainder when j(9) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - 73 - -55) + 47\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 7 + 2)*(56*m**5 - 1222*m**2 + 1222*m**2).\nAnswer: -672*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -36. Let a = 9 + p. Let l = 0.02 - 0.02. Which is smaller: a or l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156052*x**2 - 98607*x**2 - 49401*x**2.\nAnswer: -304060*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 + 2*q**2 + q**2 + 4*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + sqrt(52))**2 + (sqrt(52) + -3)**2 + -1 + sqrt(208).\nAnswer: -12*sqrt(13) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 2:20 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + n - 4*n)*(2 - 1 - 2)*(-20 - 17*n + 7*n + 21).\nAnswer: -30*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k - 11 + 11)*((0 + 2 - 1)*(k**3 + 4*k**3 - 3*k**3) - 3*k**3 + 6*k**3 - 4*k**3 - 2*k**3 - 24 + 8 + 11).\nAnswer: 4*k**4 + 20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 110 (b) 0.5 (c) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95, -208, -3651.\nAnswer: -3651, -208, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -24 + 28444448\/416 - (0 + 2\/26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011100010001101 (base 2) to base 16.\nAnswer: b88d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -46551, -86803, -127045, -167271, -207475?\n\"Answer: i**3 - i**2 - 40256*i - 6295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 42. Let l = 12.4 - w. Let z = -3.1 - l. What is z rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 9) to base 4.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -11. What is the common denominator of -18 + f + (-149)\/(-10) and 11\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28\/(-7) + 21 + 1. Calculate the greatest common divisor of p and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83639880.\nAnswer: 2, 3, 5, 232333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 295785 and 2504?\nAnswer: 2366280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2. Let w(a) = 2*a**2 + 44*a + 10. Let n be w(-22). Let s = 8 + 0. Let i(u) = -s*u**2 + n - 10. What is z(i(v))?\nAnswer: 64*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183 + 14*j + 368 - 185.\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 10:55 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, x: 2, w: 5}. Give prob of picking 2 w and 1 j.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15283 = 12*z - 126317. Round z to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/6)\/((-7)\/28). Let i(m) = 4*m - 3. Let f be i(2). Put 4, f, h in ascending order.\nAnswer: h, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k + 7074 = 11*k. Let y = k + 1701. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 4:59 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 107 (base 16) to base 2\nAnswer: 100000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q = 3*c - 19*q - 1525, 0 = -2*c - 3*q + 994. Let d = -468 + c. Let s be 70 - 0*2\/4. Calculate the greatest common factor of s and d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1))**(-28)\/(((d\/(((d*d**15)\/d)\/d))\/d)\/(d**(19\/5)\/d)) assuming d is positive.\nAnswer: d**(-196\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*260\/(-72)*(945\/(-7))\/15?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 6*t = 3*t + 5, 3*t = 15 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 4 - 4)*(6 - 4 - 1) + (4 - 1 - 2)*(-4 - 1 + 2))*(-4*c + 3*c + 3 + 6*c) to r + g*c and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*j**3 - 5*j**2 + j - 84 wrt j?\nAnswer: -96*j - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 - 0.1. Let z be 4\/(-6) - (-7902)\/(-14). Let t = 565 + z. What is the third smallest value in d, t, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t. Let v be w(5). Let c = -5751 + 5796. What is the highest common factor of v and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*z - 4 = -3*u, -2*z = 2*u - 4. Let y be (2\/3)\/z*9. Suppose -y*v = -3*t - 27, 4*v = -0*v - 2*t + 24. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i - 2*i - 14 - 3*i.\nAnswer: -7*i - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(4\/(4 - 176)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 1184 - 1094 = 0. Suppose -v*i + 23*i - 16 = 0. Solve 5*k - 26 = -4*s, 0 = 5*k + i*s - 13 - 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*v + 4*g + 20 = 0, -v + 9 = -3*g. Let x = 7 + v. List the prime factors of ((-264)\/(-30))\/(4\/x).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11104 is divided by 775.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.4 + 1.1. Let i = x - 2.7. Let h = 3.9966 + i. Round h to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 3025.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 105315*q + 65400620. What is k(-621)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/15 and 69\/1615?\nAnswer: 4845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -94 - 1?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/1*2\/(-5). Let f(z) = 0 + 2 + z**k - 2. Let l(p) = -2*p. What is l(f(j))?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 4*j + 5*u, 5*j + 4*u - 25 = -u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203894, -815565, -1835020, -3262259, -5097282?\nAnswer: -7340089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -383*i**4 + 264*i + 1 wrt i.\nAnswer: -4596*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.699 - 3.999. Let h = 2\/181 - -348\/1267. What is the second biggest value in -0.2, -0.01, h, s?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -14. Suppose 0 = -0*d + 2*d - 10. Sort u, d, 21, -1 in decreasing order.\nAnswer: 21, d, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -4, -174, -5, 3.\nAnswer: -174, -5, -4, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000381547 rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-2) - 10)\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22167*o + 22158*o = -472572. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 3)*(4*x + 2*x - 4*x) - 268 - 5*x + 533 - 264 to h + b*x and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 8:27 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.3 and 820532.\nAnswer: 820530.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 480 and 1728585120?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 407*h**3 - 1356*h**2?\nAnswer: 2442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3724418 (base 11) in base 4?\nAnswer: 120231111131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 812.2 + -805.2. Let p be ((-52)\/(-16) - 3)*3\/(-1). Which is the nearest to 1\/4? (a) 0.3 (b) p (c) z (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.447992 to one dp.\nAnswer: -21.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(10\/14*(-77)\/(-66))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4832, -4824, -4816, -4808, -4800?\nAnswer: -4792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19c36 (base 15) to base 14.\nAnswer: -22743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 11.14850926.\nAnswer: 10.14850926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -93 + 176. Let x = 85 - h. Solve 0 = x*c - 0*c + j + 9, 5*c = 5*j - 15 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (38 - 15)\/(-1 + 22\/20).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 962, 1703, 2442, 3179, 3914?\n\"Answer: -z**2 + 744*z + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.124596232 to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -111, -219, -327?\n\"Answer: -108*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 6, 17, 22, 15?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 258115092 by 1852.\nAnswer: 139371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 + 1074*h**3 - 983*h**3 + 8*h**2 - 6*h**2.\nAnswer: 91*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 200 = 5*r. Suppose -12 = -6*n + 6. Suppose n*d = -d + r. What is d rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g + 0*g + 4 - 2*g**3 - 2*g + 4*g**2 as h*g + k + w*g**3 + t*g**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p + 3. Let v = -21 + -1. Let z be 2\/(2\/v*2). Let t(n) = 21*n + 6821. Let m(x) = 5*x + 1861. Let j(o) = -22*m(o) + 6*t(o). What is z*s(d) - 2*j(d)?\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -2 + (45 + -19 - 34).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 92*v - 31. Let h(d) = -31*d + 1. What is 3*h(i) + s(i)?\nAnswer: -i - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 11 = 5. Suppose -t*h - 676738 = 4903262. Round h to the nearest one hundred thousand.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33700422 divided by 16850211.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 4*f**2 - 6*f + 8. Let l be a(5). Let d(z) be the first derivative of 0*z**2 - l - 4\/21*z**3 + 2\/35*z**5 + 2\/7*z + 0*z**4. Factor d(b).\nAnswer: 2*(b - 1)**2*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67670, -0.1, 3\/8 in decreasing order.\nAnswer: 3\/8, -0.1, -67670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39.6 - -311.4. Let q = k - 350.9071. Round q to 3 decimal places.\nAnswer: 0.093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279.3 + 9?\nAnswer: 288.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2843631, 5687243, 8530855, 11374467, 14218079, 17061691?\n\"Answer: 2843612*d + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 429 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -7*b**2. Let f(s) = -288*s**2 + 12*s. Let h(y) = -292*y**2 + 14*y. Let z(w) = -7*f(w) + 6*h(w). Calculate x(z(j)).\nAnswer: -487872*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.79121nm to millimeters.\nAnswer: 0.00008579121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4520 and 320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -314883?\nAnswer: -1\/104961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 45 = -8*l + 3*l, -5*l + 35 = 3*g. Suppose j + v - l*v = 93, 0 = -3*j + 2*v + 244. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0147 + -64.9747. Let f = 65 + t. What is the second smallest value in 0.2, 3, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 60 = 5*b, -22 = -2*b + 3*z + 2 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**2 + 2*a**2 - 6*a**2)*(3 - 3 + 8).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 35584883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 513 and 114.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31497479 + -756052151\/24. Let v = d + 4699. Find the common denominator of v and 73\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 5, -6, -21, -40, -63, -90?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/33805 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -417 + 417 - 18*u**2 + (3*u + 0*u - u)*(u + 0 + 0) to t*u + a + m*u**2 and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 47. Suppose 2*m - 48 = -4*b, -5*m + 4 = 3*b - w. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112035 and 84826500?\nAnswer: 593785500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v**2 - 2*v + 24. Let b be t(11). Let r = b - -927. Suppose -10*w + 5*w = -r. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rruu when four letters picked without replacement from uuraeuuraauaaueaaea?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 26, 51, 76?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-5) - ((-20)\/25 + -2). Suppose -4*s - s - 2*y + 73 = 0, 18 = s - h*y. Suppose 8 = 3*g - 7. Solve -2*u + s = a, 3 = -3*a + g*u - 7 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 + 8283*q**2 - 172554*q - 180840.\nAnswer: -3*(q - 2740)*(q - 22)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 20291.196123943?\nAnswer: 20286.196123943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 8:18 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-6) - 14\/42.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 3*d + 28, 1 = -4*d - 3*m + 12. Sort 5, d, -4 in ascending order.\nAnswer: -4, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**4 - 4 + 4)*(4*f + 4*f + 7*f)*(4 + 2 - 4).\nAnswer: -150*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -3. Let j = -2.5 + w. Let m = 0.16 - -0.14. What is the biggest value in j, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 + 46. Let q = 0 - -15. Let s = q - 11. Put -0.01, s, o in increasing order.\nAnswer: o, -0.01, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8702 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 x(u) = 1398*u**2 - u + 2. Is x(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -0.5, 0.5, 3177, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, x: 5}. What is prob of sequence ux?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 - 10 + 7)*(-k**3 - k**2 + k**3 + k**4 - 2) to the form g*k**2 + y*k + j*k**3 + u*k**4 + x and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + z - 4*z)*((5 - 4 - 4)*(1 + 2 + 0) + 8 + 9 - 8 - 3 + 6 - 7).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) -310 (c) -72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -269699 or -539397\/2?\nAnswer: -539397\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 7*b + 14. Suppose 3*w + 12 = 5*w. Let r be g(w). Let i be 3 - r\/(8\/(-4)). Solve 2*c - i = 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 0.5, 0.024, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2098*j**2 - 38*j - 5.\nAnswer: -4196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/8 + 18\/24. Suppose -4*a = 8, t*a + a + 6 = -2*n. Let j(h) = -h**3 - h**2 + 2*h. Determine j(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-8) - (-29)\/2. Let l = -85\/12 + b. Let i = 1\/44 + -431\/88. Find the common denominator of i and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7a361 - -4?\nAnswer: 7a365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 474048 - 254935. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-34 - (5 + -22))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 75262\/4187 or 17?\nAnswer: 75262\/4187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4488 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/10 - (-45)\/6. Let w = c + 18. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/15)\/((-39)\/2275). Suppose 79*y = j*y + 308. Solve -l = y*l - 16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/691 in -0.2, 77, -0.02, -5, -0.3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/389, -126, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 7:55 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -350, 5\/4, 2\/3, -3, 3, -0.028 in increasing order.\nAnswer: -350, -3, -0.028, 2\/3, 5\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43496*r**4 - 4*r**3 + 23*r**2 - 4611*r - 1840 wrt r?\nAnswer: -521952*r**2 - 24*r + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(2052\/405)\/((-4)\/(-5)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/4)\/(-8))\/(7\/(-2))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*s = 6, 5*n + 1 = 2*s - 5. Let u be n - ((-287)\/(-42) + -7). Which is the nearest to 4? (a) 6\/5 (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3\/2))**(4\/23)\/(r*r**(1\/4)*r*r)**(-1\/38))**(-20) assuming r is positive.\nAnswer: r**(3065\/874)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 4*x - 6*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 11, 1.09, -1364.9, 1\/2, -2 in descending order.\nAnswer: 11, 1.09, 1\/2, -1, -2, -1364.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2138 and -0.5?\nAnswer: 1069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498 is divided by (252 - 6) + 1*(-8)\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*i - 8 = -4*m, -2*i + 4*m = 8. Solve l = -i*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 50687 and -1691?\nAnswer: 52378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -q**5\/60 - q**4\/6 + 5*q**2 + 1. Let l(n) be the second derivative of a(n). What is l(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3, 2, 11, 24?\n\"Answer: 2*c**2 - c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/4 + 3043*u\/2 + 9259849\/4.\nAnswer: (u + 3043)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - t + 1. Let z(w) = -w**2 - 2*w + 23. What is -2*o(p) + z(p)?\nAnswer: p**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 98, -24, 3, -2, -4\/3, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.45 times -142?\nAnswer: -63.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2)*(-7*a**2 - 11*a**2 + 2*a**2) - 3*a**2 + 0*a**2 + 4*a**2 in the form w*a**2 + t + c*a and give w.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*o - 2417*o**2 + 60*o - 43*o + 107*o**2 in the form p*o**2 + b*o + t and give p.\nAnswer: -2310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - m)*(72 + 46 + 24) to the form j*m + v and give j.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/17))\/o)\/o*o**(-4\/3)*o assuming o is positive.\nAnswer: o**(-74\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52a0c (base 14) to base 9.\nAnswer: 333641","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.88 + 204.12. Let y = w + -211. What is the closest to 0 in 3\/5, y, -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2181 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssc. What is prob of picking 1 c and 1 s?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/2 and (-463)\/(-14) - 24\/42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = j, -5*v + 7*j - 3*j = 0. Let o be 318 + 3\/6*v. Suppose -3*f = 3*f - o. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8000434 at least as big as -8000427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -7*m - 97. Let d be x(-15). Let c(o) = -10*o**3 - 32*o**2 + 16*o + 64. Let k(t) = t**3 + 2*t**2 - t. Let l(y) = d*k(y) + c(y). Solve l(i) = 0 for i.\nAnswer: -8, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*j = 94*j + 416 + 16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(((-45)\/50)\/(6\/(-10)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350 is divided by 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/(-847)*-11)\/(2\/49).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 8*a**2 - 9*a - 9. Let x be p(-7). Suppose -2*k - 2*t = -16, -4*t + 36 = x*k - t. Solve -j - k = g, -26 = 5*g + 2*j - 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*p - 15912777 - 241324677 = 403322303. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-20)\/y*y*y)\/(y*y**(-7)) assuming y is positive.\nAnswer: y**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 - -74. Let v = g + -10. Let o = v - 19.943. What is o rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44815070 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38071 - 8*a**3 + 19039 + 19032.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000779328094 rounded to seven dps?\nAnswer: -0.0007793","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12012211220 (base 3) to base 2.\nAnswer: 11001000100010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve 27*y - 207 = -369 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31292943 and 31407?\nAnswer: 594565917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i**2 + i + 4. Let g be h(3). Find the second derivative of -56*o**2 - 7*o - 3*o + g*o**2 wrt o.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -16*a**3 + 11*a + 4. Let n(w) = w**3 + w + 1. Let g(b) = h(b) - 4*n(b). Find the second derivative of g(j) wrt j.\nAnswer: -120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 316*b - 318*b - 9, 0 = -3*u + 15. Solve -b*v + 2*v = 2*i + 7, 3*v = -i + 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/3 and -115\/36486?\nAnswer: 36486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2376\/(-162) + ((-40)\/(-50))\/(3\/(-5)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - 6*d - 5. Let v be p(-1). Factor 5*s**v + 21*s - 102 + 45*s**2 + 22 - 5*s + 14*s.\nAnswer: 5*(s - 1)*(s + 2)*(s + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 1\/3, 0.6, 8 in increasing order.\nAnswer: -0.07, 1\/3, 0.6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 47407883869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*w + 6. Let y be (-2 + 7 + -2)*w. Let i(b) = b + 2. What is i(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/70 + 38\/14. What is the second derivative of 0*q**5 + 0*q**5 + 4*q**5 - q**5 + w*q wrt q?\nAnswer: 60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 7*h**2 - h + 10. Suppose t = -0*t + 7. Let k be n(t). Suppose -4*w + 3*o + 277 = 0, 5*w - 5*o = k*w + 149. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48439 + 6*q + 48439.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**3 + 156*v**2 - 317*v + 10. Calculate i(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**6\/15 - 6*o**5\/35 - 2*o**4\/21 + 10*o. Factor x(z).\nAnswer: 2*z**2*(z - 2)*(7*z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5 - 4 + 13*j**2.\nAnswer: 13*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4*8 - 1. Suppose -z*w - 10 + 31 = 0. Suppose -w = -3*b - 4. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/3 + 2741*q + 2868170\/3.\nAnswer: (q + 365)*(q + 7858)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 14. Let f be (4 + -3)\/k*1. Let c = f + 9\/20. Sort c, -2, 5 in ascending order.\nAnswer: -2, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t - 56. What is u(18)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (210\/(-18))\/(2\/(-30)). Suppose -o + m = -53. Let t = -125 + o. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2347 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.8 + 46.\nAnswer: 57.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*n = -42, 5*w - n - 5 = 36. Suppose 17*b - w*b = 8*b. Suppose -13*r = -b*r - 26. Solve 5*i + 2*v = 19, -7 = -r*i + v + 6 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 926336 divided by -4?\nAnswer: -231584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19, -47, -85, -127, -167?\n\"Answer: f**3 - 11*f**2 - 2*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 239*a + 98*a - 105*a in the form i*a + h and give i.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -22.955. Let g = -3984 + 3984.335. Let d = i + g. What is d rounded to 2 dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.291004ml?\nAnswer: 0.008291004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 1. Solve -w = 5*a - 14, 3*a - 13 = 6*w - s*w for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g, 3*g + 11 = 5*y - 254. Let m = y - 53. Solve 2 + m = 5*u + 2*n, 2*u = -3*n + 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*6\/((-48)\/(-8))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12400 - -7400. Round t to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -346134*d**3\/7 - 17998984*d**2\/7 - 233987416*d\/7 - 10816\/7 = 0. What is d?\nAnswer: -26, -8\/173067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87364 is divided by 2337.\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 9*w - 4*w. Let o(x) = -w*x**2 + 7*x**2 + 14*x**2. Let a(k) = k - 5 + 5. Calculate a(o(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 >= -10131\/941?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1324012510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 + 10*q + 11. Is 18 a factor of j(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 28597496.\nAnswer: 343169952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.86 - -0.14. Let s = 6.1 - i. Which is the third biggest value? (a) 0.5 (b) s (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.611 - 0.189. Which is the closest to -1? (a) -1\/8 (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 10) to base 5\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 7:52 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 451 = -109. Suppose 3*s + 58 = m, h = 2*m + 4*s - 9*s. Suppose r + 4*f = 44, 3*f - m = -r - 0*f. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -84.09 to zero decimal places.\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**4\/6 + 134*f**3\/3 - 8*f - 8. Find j, given that n(j) = 0.\nAnswer: -134, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11421501*x**2 - 106613612 wrt x?\nAnswer: 22843002*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003251 to 5 decimal places.\nAnswer: -0.00325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.11626 decades to centuries.\nAnswer: 5.411626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1323, -1331, -1351, -1389, -1451, -1543, -1671, -1841?\nAnswer: -2059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 342 and 304?\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*k**3 - 138*k**2 - 30*k + 957738?\nAnswer: -9*k**2 - 276*k - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(228) + sqrt(228) + 3*sqrt(228) + sqrt(228))\/sqrt(12)*-1)**2 - -1*((4 + sqrt(19)*1)**2 - (5 + sqrt(171))).\nAnswer: 5*sqrt(19) + 1398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b**2 + 2*b**2 + 0*b**2)*(-25*b - 24*b + 20*b)*(2 + 0 - 4)*(-9*b - 4*b + b) in the form o*b**2 + k*b**3 + g*b**4 + v + n*b and give g.\nAnswer: -696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + -20. Find the third derivative of -5*k**3 - 18*k**3 - 4*k**2 - j*k**2 wrt k.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7bd - 62d5?\nAnswer: -6a92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -18980, -75864, -170644, -303302, -473820?\n\"Answer: 3*d**3 - 18966*d**2 - 7*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifteen quarters of a millennium?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 2980 = -3043 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8439305179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000388350457 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-9 + 7 - -7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6306)\/(-15) + 6\/10. Let l = 7155\/17 - b. Let w = -1153\/7 - -165. Sort l, w, 1\/4 in descending order.\nAnswer: w, 1\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.03144 + -0.16856. Which is the nearest to 57? (a) -0.5 (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2670 + 48007\/18. Find the common denominator of t and -79\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*sqrt(612) - (sqrt(612) + 2 + -3))**2*-4.\nAnswer: -296212 - 528*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 63377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 0 (b) 10\/11 (c) -2\/3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 29 = -221. Suppose 0*u + 22*z + 7 = -3*u, 0 = -u - 4*z + 1. What is the least common multiple of w and u?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s - 2*s + 6 + 3*s - 11 - 6. Let a be 32\/10*5\/2. Give x(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 13. Let s be j(-15). Let d = s + 8. Calculate the greatest common factor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**3 - 3*u**3 + 3*u**3 - 6*u**3 + 7*u**3 - 7*u**3 + (0 + 0 - 2*u)*(u**2 - 3 + 3) - u**3 - 2*u**3 - 3*u**3.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 20 = -32 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 8 + 23 - 9 = 0 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 15 = 3. Suppose 3*p - p + z*w + 1 = 0, 2*w = -2*p. Calculate the highest common factor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z**3 + 145*z**2 + 11*z - 215. Calculate c(-24).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/2)\/(-1*30\/(-20))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1573 and 1331?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 12 = 0, 3*q - 9*r - 31 = -5*r. Solve 2*n - 3*a + 9 = 3*n, -q*n + 4*a = -7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -1.265878?\nAnswer: 1.465878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -7417*b**2 + 2. Let k(g) = 23*g. Calculate y(k(u)).\nAnswer: -3923593*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 28, 141, 390, 835, 1536, 2553, 3946, 5775?\n\"Answer: 10*m**3 + 8*m**2 + 19*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1776 and 6215223?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -145 - -145. Suppose -15 = -10*b + 5*b. What is the first derivative of -i + x*i - 16 - b*i + 15*i wrt i?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of 0 + 2*z + 0*z**2 - 2\/15*z**3 + 1\/75*z**6 + 1\/6*z**4 - 2\/25*z**5. Factor m(q).\nAnswer: 2*q*(q - 2)*(q - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-19)*u*u*u\/u**21 assuming u is positive.\nAnswer: u**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -533*v + 458*v + 683850. Does 194 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (-38)\/(-34) - (-13)\/((-442)\/(-3396)). What is the highest common factor of g and 29300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**24*y\/y**(-11) assuming y is positive.\nAnswer: y**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (763\/(-218))\/(-2*(-3)\/(-4)). Let l(v) be the third derivative of -c*v**3 + 0*v + 0 - 7\/24*v**4 - 6*v**2. Differentiate l(u) with respect to u.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-27)\/20)\/3)\/(2220\/(-75) + 32)\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.52440879 and 3.09.\nAnswer: 2.56559121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/390*-175)\/((-195)\/1638)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 8:43 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-749)\/2247*(-242 + -4)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56.4 + -56.374. Let k = -0.274 - g. Which is the second smallest value? (a) 2 (b) -26\/7 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 a when three letters picked without replacement from {a: 2, x: 1, s: 1, y: 3, r: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**3 + 14454*i**2 - 22921524*i + 11993441448 = 0.\nAnswer: 1426, 1966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.370821ml to litres.\nAnswer: 0.003370821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-21)*-3*3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 2:58 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -87 - -91. Let s = 78 - 73. Solve -h*d - 13 = r, s*r = 3*d + 2 + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**5\/20 - g**4 - g**3\/2 + 17*g**2 + 267*g. What is i(12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 116369 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/1*(9 + -8)*-1276. What is u rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 23782268.\nAnswer: 261604948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 1 + 31 = 0. Let i = 46\/3 - m. Let p = 2 - 0. Does p = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126 + 4*j**2 - 62 - 127 - 2*j**2.\nAnswer: 2*j**2 - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 154*r**2 - 264*r + 4067. List the prime factors of f(16).\nAnswer: 3, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 375 + 77?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5 + 6*u + 1 - 9. Let g(z) = -11*z + 6. Let h(x) = -3*g(x) - 5*r(x). Determine h(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24627)\/2*18\/(-27) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1153090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 192, 385, 584, 789, 1000, 1217, 1440?\nAnswer: 1669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 21 = -y. Let a(t) be the second derivative of 2\/3*t**4 + 13\/25*t**y + 4*t + 7\/75*t**6 - 8\/15*t**3 + 0*t**2 + 0. Solve a(r) = 0.\nAnswer: -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-2 + sqrt(112) + -1)**2 - (2 + sqrt(112) + -3))*-5 + 5.\nAnswer: -609 + 140*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -7. Let o(w) = -w + 6. Let y(f) = 3*o(f) + 2*u(f). Let q(h) = -h + 6*h - 8*h + 0*h + 3. What is 4*q(a) - 3*y(a)?\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**3 - 5*x**3 + 4*x**3)*((0 - 1 + 2)*(42*x - 25*x - 21*x)*(0 + x + 0) - 2*x + 4*x**2 - 6*x**2 + 14*x**2).\nAnswer: 32*x**5 - 8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*t**3 + 48*t + 20*t**3 - 3*t**3 + 34*t**3 wrt t.\nAnswer: 270*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 5, -760743, -9 in decreasing order.\nAnswer: 5, -0.4, -9, -760743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.5 + 12. Let d = 1 - 1.6. Let k = d + b. Is -2\/11 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10200 (base 4) in base 8?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 48 = 58*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 + -75. Let l = -0.03 - 0.27. What is the second smallest value in 4, 1\/5, z, l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -319460, -317912, -316364, -314816, -313268, -311720?\n\"Answer: 1548*z - 321008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 430 divide 699180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0882 - 0.5882. Which is the closest to 2\/3? (a) j (b) 1.8 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 11*q - 7. Let f be n(14). Suppose 2*i - f = -0*i + 3*g, 5*i + 5*g - 25 = 0. What is the remainder when 35 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 226935*n**2 + 569217*n?\nAnswer: 453870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 9. Let a be j(-4). Let c(k) = 2*k + 8. What is c(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -165360379?\nAnswer: -661441516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 6159486?\nAnswer: 6159486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3.3, -1, -0.5, -4.44, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyayygjgigy. What is prob of sequence ai?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n + 71*n**3 + 4*n - 74*n**3 + 2*n**2 - 3 in the form b + i*n + g*n**3 + s*n**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 109865432 and 31060.\nAnswer: 6212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11136 (base 7) to base 16.\nAnswer: -b04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4763, -4767, -4773, -4781?\nAnswer: -4791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16362537 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 1. Let d(j) be the second derivative of -j**4\/6 - 2*j**3\/3 - 6*j**2 + 290*j. Let b(x) = x**2 + x. Let t be b(3). Determine t*h(p) + d(p).\nAnswer: -2*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -2. Suppose -4*z = -2*z - 5*k + 17, -k - 3 = -u*z. What is the smallest common multiple of z and (-16)\/12*(-9)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22.4 - -19.4. What is the second smallest value in 1\/8, 1\/14, y?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 15. Suppose -30 = -5*l + 5*c, 3*l - p*c - 4 = 22. Solve -2*m = l*w + 6, 4*m + 3*w + 18 = 2*w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19945 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h + 44. Let a = 66 - 33. Let q = a + -48. Let w be d(q). Which is bigger: -2\/11 or w?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4\/3, 0, 50, 153?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006827 rounded to five decimal places?\nAnswer: 0.00683","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (273\/(-105))\/((-24)\/(-10)) + (-10)\/(-8).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -71753056, -143506110, -215259164, -287012218, -358765272?\n\"Answer: -71753054*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 6:07 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -9. Let g = 4 - y. Let p be 0\/(-1) - g - -1. Solve -5*w = -20, -4*q - 7*w + 3*w = p for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 18*h + 53. Let t(l) = 2*l**2 - 19*l + 52. Let d(w) = -3*k(w) + 2*t(w). List the prime factors of d(-28).\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 1\/2*n**3 + 0 + 1\/2*n**2 + 6*n. What is the least common multiple of 11 and z(2)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4243, 26233, 83681, 194317, 375871, 646073, 1022653, 1523341?\n\"Answer: 2955*s**3 - s**2 + 1308*s - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4089921 and 54245268?\nAnswer: 1030660092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 i when two letters picked without replacement from {v: 1, a: 1, i: 1, z: 1, o: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w**2. Let j(c) = 1513*c + 7229. Calculate j(y(z)).\nAnswer: -6052*z**2 + 7229","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/((-145)\/145)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, x: 1, o: 13, w: 2, m: 1}. What is prob of sequence oum?\nAnswer: 13\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.936104773 - 0.089895.\nAnswer: 0.846209773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**2\/7 - 16*i + 448 = 0.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2237*y + 1104*y + 1100*y = 1914 for y.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3038*a + 11. Let v(i) = 1013*i + 4. Give 11*v(o) - 4*w(o).\nAnswer: -1009*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -589 in -28, 3, 2\/57?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00284608328 rounded to 4 decimal places?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/30 of a hour?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**2 + 14*l - 8. Determine i(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -16. Solve g + r = 0, 5*m - g + 25 = -6*g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 2*p - 17. Let a = -42 + 62. Calculate the smallest common multiple of a and m(-5).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + sqrt(1331) + sqrt(1331) + -4 - (sqrt(11) + (sqrt(44) - (sqrt(2816) - sqrt(44)))\/sqrt(4)))**2.\nAnswer: -304*sqrt(11) + 15900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 120007607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 5*c**4 - 10*c**3 + 10*c - 5 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) -0.2 (c) 0.3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 400 = 4*o. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1342159 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.8857 meters to millimeters.\nAnswer: 24885.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**7\/1260 + 7*r**4\/12 - 98*r. Let i(s) be the third derivative of w(s). Let m(p) = 2*p - 71. Determine i(m(b)).\nAnswer: 8*b**2 - 568*b + 10082","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*0.218\nAnswer: -0.0218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven quarters of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yx when two letters picked without replacement from {x: 5, y: 11}?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s - 2. Let f be v(2). Let h(y) = -7*y. Let c(d) = d. Let r(j) = f*c(j) - h(j). What is r(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -375, -0.2, -0.4 in descending order.\nAnswer: 3, -0.2, -0.4, -4, -375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 12*g**2 + 17*g + 1. Calculate x(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -17. Suppose 5*g + 2 - 1 = -3*d, 4*g = 5*d + x. Let y(i) = 10*i - 3. Let t be y(g). What is the greatest common factor of t and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 6. Let n be (-12)\/(-12) + 4\/2. Let b be h(n). Suppose t - 4*g = -6 - 5, -11 = -b*t + g. Calculate the remainder when 9 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 1:30 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25800)\/(-99330))\/((-15)\/(-7)).\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382*b - 1376 - 182 = 344*b for b.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (192\/(-3072))\/((-1)\/(-16))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (80\/(-20) - 936\/(-20))*5. Solve -41*p - d = -9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 1319, -2808?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -12927*d + 12924*d - 38, -d + 6*q = q + 38 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 11:23 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1316 from -13.\nAnswer: -1329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 248917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5899188?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1244 - -1262. Solve 0 = -5*g + 2*y + u, 4*g + g - 14 = y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 6*i**2 - 7*i. Suppose -3*p - 2 = -y, -3*p + 6 = -y - 4*p. Let h be o(y). What is the highest common factor of h and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2655, -10618, -23887, -42462, -66343, -95530?\nAnswer: -130023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 1\/6*b**3 - b**2 - 1\/8*b**4 + 6 + 1\/20*b**5 + 0*b. Let m(l) be the second derivative of a(l). What is m(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110020000000 + 0?\nAnswer: -110020000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 33760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -510*h - 11 = -507*h - 2*l, 5*h - 2*l = -5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 5 + 3 + 2*c + 287*c - 4.\nAnswer: 289*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, 2, -2, -1, -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggghghggg. Give prob of picking 2 h.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 3*d + 1. Let j be p(2). Suppose -s = -j*l + 2*l, -4*s + 3*l + 5 = 0. Solve -s*m + 5 = -3*k + 15, 3*m + 2*k = -25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9db88 (base 14) to base 12\nAnswer: 166064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7966326\/709 + -11236. What is the second biggest value in 0.4, j, 2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**3 - 24*r**2 - 578*r + 6487. What is k(11)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 747 - 694. Let h = z - 50. Determine y so that 0 - 1\/5*y + 0*y**2 + 1\/5*y**h = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - (-2160)\/(-50))*(-50)\/4. Suppose 2*h = -4*j - t + 3299, 0 = -j - 5*h + 689. List the prime factors of j.\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -7*f**2 - 8*f + 3. Let d(j) = -8*j**2 - 9*j + 4. Calculate -5*d(v) + 6*n(v).\nAnswer: -2*v**2 - 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 4:51 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 58 = -3*q - 83, 0 = -4*q - 4*s + 20. Solve q = -11*r + 16*r + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, h: 3, d: 6, y: 10}. What is prob of sequence cy?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 152*j**4 - 32*j**3 + 71*j**2 - 19149535*j?\nAnswer: 1824*j**2 - 192*j + 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -110000221020 (base 3) to base 6\nAnswer: -5024353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 237872625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -21. Let u be -4*(-4)\/16*(m - 28). Let q(n) = n**2 - 11*n - 4. Let l be q(8). Which is smaller: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 455, 887, 1321, 1757?\nAnswer: 2195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 3*i = -9 + 6, 3*i = -4*k + 21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28408086*g**6 + 69177270*g**2 wrt g?\nAnswer: 3408970320*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 87*q + 91*q = 926, 0 = 5*c + 4*q - 2285. Which is greater: c or 425?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-3 - (6 - 2)) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*d = -9, -2*d + 13 = s - 6*d. Suppose -4*q = -3*c + 23, 6*c - 25 = s*q + c. Let b(h) = -h - 7. Let k be b(q). Which is smaller: 3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8488 + 8489. Which is the fourth smallest value? (a) j (b) -2 (c) -0.05 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 660, 2670, 6028, 10740, 16812, 24250?\n\"Answer: g**3 + 668*g**2 - g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -168 + 74. Let r = 93.9909351039 + 0.0090932961. Let i = q + r. What is i rounded to 6 decimal places?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 4*c - 5*c)*(6 + 3 + 8).\nAnswer: -34*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2989?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 bigger than -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 20*m + 321. Is l(79) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*((-2 + sqrt(1008)*1*2)*-5)**2*5 + 4).\nAnswer: -48000*sqrt(7) + 2017984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -21*n + 18. Suppose 452 = n*s + 2*x, -s + 5*x - 106 = -356. What are the prime factors of s?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence in when two letters picked without replacement from {i: 1, n: 3, p: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 144\/40 - (-3)\/(-5). Suppose g - 4 + 0 = 0. Calculate the remainder when m + -6 + 19 + -1 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003363 to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9210, 9217, 9236, 9273, 9334?\n\"Answer: n**3 + 9209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 181983419 to the nearest integer?\nAnswer: 13490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + 71725 - 71722 + 8*l - 28*l.\nAnswer: -21*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -30*q**2 + 2*q - 2. Suppose -37 = 11*z - 15. Let d(v) = -748*v**2 + 51*v - 51. Let u(g) = z*d(g) + 51*m(g). Let i(b) = 7*b**2. Calculate i(u(k)).\nAnswer: 8092*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 2*v + 2. Calculate h(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, -32050, -33.\nAnswer: -32050, -75, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*w + 447 = 481. Which is the second smallest value? (a) 0.271 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -133 - -149. Suppose 11*u + f = 71. Solve -u*h = -6 - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 854 is divided by 285.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l - l + 5*l - 32*l**2 - 60*l**2. Let j(z) = 2*z**2. Give t(j(c)).\nAnswer: -368*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/574430 and 61\/27686.\nAnswer: 72952610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 11 + 14 + -11 - (25 + 1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3242.852 to the nearest integer.\nAnswer: -3243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1148942 is divided by 574460.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -58*2.4\nAnswer: -139.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*g**3*n**2*p**2 + 8*g**3*n*p**2 + g**3*p + 3*g**2*n*p - 38*g*n + 2*n**2 + 2*n*p**2 wrt g?\nAnswer: 24*n**2*p**2 + 48*n*p**2 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 437 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3958*h + 7886*h - 3984*h + 20*h**2)*(-4*h - 3*h + 5*h).\nAnswer: -40*h**3 + 112*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (x + 3*x + 2*x)*(194 - 1693 + 315 - 3229) as o + n*x and give n.\nAnswer: -26478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.454*56\nAnswer: 25.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/(o**3*o)*o**(2\/3)*(o\/((o*(((o\/(o\/(o\/(o**(5\/6)\/o))))\/o)\/o)\/o)\/o))\/o**3 assuming o is positive.\nAnswer: o**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 16477433542485.\nAnswer: 16477433542484.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3\/u*u)**(8\/3)\/((u*u**(-14)*u*u)\/u**(-12)) assuming u is positive.\nAnswer: u**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/(i\/(i**(3\/4)\/i)))\/i*(i*(i*i**(-8\/3))\/i*i)\/i*i assuming i is positive.\nAnswer: i**(1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/7, -42, -1, 2, -2\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -7 + 2 + 7 + 6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 - w + 2*w - 11*w**2 + w - 79*w**3 + 67*w**3.\nAnswer: -(w + 1)*(3*w - 1)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from eebbeeeb?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 4*u**2 + 24291388*u + 24291384 = 0.\nAnswer: -6072846, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -8, 0, 31, 2 in increasing order.\nAnswer: -8, 0, 2, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1534?\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -386299 or -3.5?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26617 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2686547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2855 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 188 = -a - 75, -n + 109 = 5*a. Suppose -55 = -k + 5*x - 2*x, 0 = k + 2*x - 55. Let q = n - k. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 6888615?\nAnswer: -13\/6888615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-5))\/(8\/16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -169735, 3\/2, -2, 6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1392 at most -1351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2625\/(-200))\/(-15) - (-1100)\/3168.\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**10\/((m\/(m**(-9)\/m))\/m*m))\/(m**(-3))**(-2) assuming m is positive.\nAnswer: m**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*d - 7. Let j(h) = 9*h. Let b(y) = 5*y. Let x(a) = d*j(a) + 5*b(a). Let v(g) = 27*g**2 - 1. Determine v(x(z)).\nAnswer: 108*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n**5\/7 + 9514*n**4\/7 + 1256544*n**3\/7 + 5398256*n**2\/7 + 6818144*n\/7 + 1943712\/7 = 0. What is n?\nAnswer: -794, -153, -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -10*g + 21. Let s be g + -7 + -1 + 550001*2. Round s to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 2\/5, -7, 1\/8, 2176?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-4))\/(8\/32)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -1105*v**3\/3 + 1527*v**2\/2 - 1721*v. Find the first derivative of y(d) wrt d.\nAnswer: -2210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h**2 + 9*h + 15. Give x(-6).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1306 - -dc8?\nAnswer: 21ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f\/(f*f**(4\/15)))\/f)\/f)\/f)**(2\/21)\/(f**24\/f**(2\/31)))**(-29) assuming f is positive.\nAnswer: f**(980896\/1395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i. Let d be (-6)\/1 + 7\/((-49)\/(-14)) + 7. Let w(m) = -9*m. Calculate d*w(r) + 7*z(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 354253069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417815.\nAnswer: 5, 83563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 2:24 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 9 + -1 + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -39*d + 496. Let z(b) = 156*b - 2082. Give 21*q(n) + 5*z(n).\nAnswer: -39*n + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(((k*k**0*k)\/k)\/k))\/k)**(-16)\/(k\/k**(-1))**(-49) assuming k is positive.\nAnswer: k**98","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 - 27*j - 4. Let q be r(14). Suppose 181 - 981 = -q*v. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbx when three letters picked without replacement from xxbbbxbbxvy.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -10766*j + 10774*j - 209, -j = -p - 25 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1396 * -3.57.\nAnswer: 4983.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 61f62b (base 16) to base 5\nAnswer: 3120420021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 11:50 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/5*-1)\/((588\/(-21))\/(-2968))?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10495 (base 14) to base 5.\nAnswer: 2224311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r\/(r\/(r*r**(-5)\/r)))\/r)**(-4)*(r**(-3\/2)*r)**(-49) assuming r is positive.\nAnswer: r**(89\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 560270 and 2191.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 5. Solve -a = 5*s + 23, -g*a + 2*a - 19 = 4*s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 969 is divided by 23.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**2\/7 - 112464*y\/7 - 112468\/7 = 0 for y.\nAnswer: -1, 28117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*x + 2 + 2\/3*x**2.\nAnswer: 2*(x - 3)*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8951, 10022, 11101, 12194, 13307, 14446?\nAnswer: 15617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52633 and 182.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vyvvvvvvccrrvvccyvv. What is prob of picking 2 v?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2618813?\nAnswer: 2618813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -25. What is the third smallest value in 0.3, -3, -5, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 9:50 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -353605?\nAnswer: 353602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 7*u + 1992 = 0. What is the remainder when u is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 119986 - 1079872\/9. Find q such that 16\/3*q - 2 + 16\/9*q**3 - y*q**4 - 44\/9*q**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 5*u - 10, 4*q - 2*u + u = -2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.9 - 3. Which is smaller: s or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 7*k + 11. Let l(s) = -3*s**2 - 13*s - 20. Determine -6*l(x) - 11*m(x).\nAnswer: 7*x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 8*t - 95. Let m = 24 - t. Suppose -763 = -m*g + 492. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -19\/7*z**2 - 231 - 1\/7*z**4 - 16\/7*z - 9\/7*z**3 + 1\/35*z**5. What is a in g(a) = 0?\nAnswer: -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/2931 or -1?\nAnswer: -2\/2931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3564) + (sqrt(3564)*-2 - sqrt(3564)))\/(-1*sqrt(100)).\nAnswer: 18*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y**2 - 86*y + 155*y - 68*y - 24)*(21*y + 8390 - 8390) to the form w*y**2 + u + x*y + m*y**3 and give x.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20b (base 16) in base 13?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 13737640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -185*u - 1. Let o be j(-1). Suppose o = a + 7*a. What are the prime factors of a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 k when two letters picked without replacement from wwssqkqksssswkwsss?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -7*k**2. Suppose -x + 4 = 4*q, 0 = 2*x + 2*q - 8. Suppose -25 = -f - 5*i, x*f - i + 6*i = 115. Let w(a) = f - a - 30. Determine j(w(h)).\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/21*6)\/((-176)\/1848)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 736 and 1288?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r = 50*r - 216 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((56\/21)\/((-3)\/18))\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -23843 (b) -1 (c) 1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 - (-74 + 122 + -42)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 + -66. Suppose -441 = -o*k - k. What is the least common multiple of k and 70?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (3 - (0 + 7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2039, 4085, 6141, 8207, 10283, 12369, 14465?\n\"Answer: 5*h**2 + 2031*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455 is divided by 78.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -466 + 470. Calculate the remainder when 13 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 l when two letters picked without replacement from {t: 6, l: 2, f: 3}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5 + 5 + (sqrt(243)*-1*3 + -5*(sqrt(243) + sqrt(243) + 1))*4 + 0)**2.\nAnswer: 4680*sqrt(3) + 657097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4835*g**4 + 11763.\nAnswer: -19340*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63\/8 or 0?\nAnswer: -63\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 164983?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34672899 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-210) + (-2)\/(-21) - 172\/24\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*o - 446, 2*s + 5*o = 44 + 108. Let x = -78 + s. Solve n + 2*n = 4*u - x, -3*u + 5*n = 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.5 and -8.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 119 - 118.9. Which is smaller: -11\/5 or l?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + ((sqrt(350) + 1*sqrt(350))\/sqrt(7))\/(sqrt(120)\/sqrt(432) + sqrt(10)))**2 + 4.\nAnswer: -144*sqrt(5)\/7 - 2126\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10742?\nAnswer: 2, 41, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence suq when three letters picked without replacement from {q: 4, u: 4, m: 3, s: 4, o: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (2\/(-1))\/(-2). Is 6 a factor of (o - -2)\/((-30)\/(-195))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**3\/2 + 9*f**2 - 4*f. Let k(n) = n + 1. Let h(j) = i(j) - 4*k(j). Suppose -5*q = -4*r + 10, r = q + 1 + 1. Calculate h(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5678625952 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 7:47 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 48, 177, 398, 717, 1140, 1673, 2322, 3093?\n\"Answer: u**3 + 40*u**2 + 2*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0)*(-26*w - 3*w + 8*w).\nAnswer: 21*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/2 + -1. Let d = -11 + 15. Let k = 42\/11 + -250\/77. What is the closest to o in d, -0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**3 - 5*x**2 + 8*x - 6. Let t(d) = -6*d**3 + 5*d**2 - 9*d + 5. Let a(b) = 5*k(b) + 4*t(b). Let n be a(5). Solve 4 = 3*w + n for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2076086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 562470 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7889*d - 426015. Calculate n(54).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 16498131\nAnswer: 8249065.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w + 10. Calculate j(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*r + 14704 = 15808 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -53*n**3 - 2*n - 1. Let s be a(-1). Suppose 450 - 144 = 17*r. Calculate the greatest common factor of s and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10770 + 215457\/20. Let o = -91591\/16 - -7937801\/1392. Let w = o - -53\/29. Find the common denominator of w and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20521?\nAnswer: 20521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 9:11 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**3\/19 - 328*b**2\/19 + 680*b\/19 + 2656\/19 = 0 for b.\nAnswer: -166, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 42214 (b) 5 (c) 4 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-838852)\/(-2720))\/(12\/30) - -4. Let j = t - 775. Is j < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32374 + -31269. Calculate the highest common factor of 255 and x.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 10*t - 396. What is the highest common factor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) - (2 + (-2*sqrt(720))**2) - ((sqrt(180)*2 + -4)**2 + -4).\nAnswer: -3614 + 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.004 - 0.396. Sort -1, 0.07, b, -1\/3.\nAnswer: -1, b, -1\/3, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287106584?\nAnswer: 2, 35888323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4587 and 205216.\nAnswer: 209803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69 - 27. Is 21 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, j: 1, n: 4, c: 1, o: 1}. Give prob of sequence jn.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 40\/13*q + 2\/13*q**2 + 0 = 0.\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 94.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -82603518 or -82603520?\nAnswer: -82603518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2946346\/275 + -10714. Find the common denominator of u and -26\/187.\nAnswer: 4675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 919342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-32))**(-1\/11) assuming z is positive.\nAnswer: z**(32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -7.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 8*o + o**2 + o**3 - 6*o**2 - 2*o**2 - o**2 - 8. Let w be d(7). Let k be 0 + (w - (-4)\/2). Is 1\/2 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(320) + 1 + sqrt(20).\nAnswer: 1 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 + 624*i + 39156. What is k(-87)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10780*k = -10763*k + 102 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 0*r + 1\/10*r**5 + 1\/60*r**6 + 0*r**3 + 9*r**2 + 0 + 0*r**4. Find the third derivative of x(t) wrt t.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*o + o = 13, 4*t - 17 = -5*o. Let j(c) = 4*c + 6. Let z(m) = 7*m + 11. Let b(k) = 5*j(k) - 3*z(k). Let v be b(-4). Sort 5, t, v.\nAnswer: v, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 12) to base 3\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -66*s - 10. Is b(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 9*b + 13. Let u(g) = g + 20. Let l(k) = k**3 + 17*k**2 + 45*k - 1. Let d be l(-3). Let s be u(d). What is v(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -5 (b) 2\/17 (c) 4 (d) -678\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/4*((-1763)\/2050)\/(-43)?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -16, -2.\nAnswer: -16, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n - 20 = 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11.87686 + 3\nAnswer: 14.87686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 233249?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 760 and 84151640?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -160, 532 in ascending order.\nAnswer: -160, 12, 532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -144 - -219. Let r = 3 + -9. Find the common denominator of 30\/24 - u\/28 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5454, 10856, 16266, 21684?\nAnswer: 27110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 976540214 a multiple of 1066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.351505t in grams?\nAnswer: 9351505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3936.777 - 3920.6. Let j = -0.823 - p. What is the third biggest value in 2\/7, 0.1, j, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.4974719 centuries?\nAnswer: 596.96628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(275) + -3 - 1*sqrt(275)*1)*-4)**2.\nAnswer: -1440*sqrt(11) + 39744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28195*j**2*p**3 - 8069*j**2*p + 291*j*p**5 - 142*j*p wrt p?\nAnswer: -169170*j**2*p + 5820*j*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 207*q + 12. Is 24 a factor of i(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4097811.21 rounded to the nearest 100?\nAnswer: 4097800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2781 - 2779. Let z = -9 + 14. Let i = z + -4.6. Which is the closest to m? (a) i (b) -3 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 99\/467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.6 (b) -5 (c) -2518\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73499*a - 65641*a + 144490*a - 2*a**2 to v + t*a**2 + m*a and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/8 + (-115)\/920.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + x**2 + x + 53. Give b(0).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.76 and 435.\nAnswer: 436.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0613 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693315495 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 610941.2g to micrograms.\nAnswer: 610941200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2. Let x(o) = -594*o. Give c(x(i)).\nAnswer: 352836*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1650012 (b) 0.4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1744 or -65\/404?\nAnswer: -65\/404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.18 - 0.01. Let w = r + -0.07. Put -1, -0.5, w in decreasing order.\nAnswer: w, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-32)\/40*2\/2. Which is the nearest to -0.1? (a) -10 (b) l (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -92 or -94?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 121.6.\nAnswer: 121.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-192*o + 13*o + 7 - 208*o)*(2*o**4 - 2 + 2).\nAnswer: -774*o**5 + 14*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, 2\/3, -259, -5 in decreasing order.\nAnswer: 2\/3, -5\/2, -5, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 0*i - 23*i**2 + 0*i + 28 - 9. Let b(x) = 64*x - 3*x**2 + 2*x**2 - 64*x. Determine b(g(z)).\nAnswer: -2116*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-47014)\/6 + (-10)\/(-15). Let v = -109635\/14 - j. Calculate the common denominator of 77\/12 and v.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1, 3, 2, 49388?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -521*n*r**2 + 1398*n*r - 2809*n + 35 wrt r?\nAnswer: -1042*n*r + 1398*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*o**2 - 93*o - 923?\nAnswer: -10*o - 93","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6*d + 6. Let n be h(-7). Suppose -n = -5*b - b. Solve 0 = -3*t - t + b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/3 - 160*i**3\/3 + 314*i**2\/3 - 52*i.\nAnswer: 2*i*(i - 78)*(i - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.048 and -137415?\nAnswer: -6595.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37094\/9 - -4115. Find the common denominator of 24\/(-33)*3 + 0 and l.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 49 = 2*m - 41, 4*m - 3*x = 183. Calculate the remainder when m is divided by 5\/(-2)*(-30)\/3.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -73 + 8*n**2 + 2*n + 73 + (5*n + 0*n - 3*n)*(-2*n + 2*n + 4*n).\nAnswer: 16*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*w + 9. Suppose -3*x = -w*x + 12. Let l = 2\/15 + 16\/105. Which is the second biggest value? (a) l (b) -0.2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*a - 9704 + 10782 = 205*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyytyyyzyyyztzvv. Give prob of sequence ttv.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77 + -53. Suppose 4 = -2*z + r. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, a: 1, r: 1}. Give prob of sequence rqq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192630 is divided by 796.\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 4)*(x**3 + 2*x**5 - x**3) + (49 - 70 + 60)*((-2 - 1 + 5)*(0 + 0 + 2) + 1 + 2 - 5)*(4*x**2 - 4*x**2 + 2*x**5).\nAnswer: 158*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (9 - ((-1 - -8) + -2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (624\/9152)\/(3432\/(-484))?\nAnswer: -1\/104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a95 + 76?\nAnswer: -a1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 5*d + 33, -d - 2*d = -4*t + 33. Let p be (-4)\/t + (-156)\/(-18). Let q = 13 - p. Calculate the greatest common divisor of 1 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((228*-3)\/12)\/((-3)\/(-6)*-6)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 368 - 367.9449. Let c = j - 0.06015. What is c rounded to 4 dps?\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 26*u - 2. List the prime factors of z(4).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 23*c - 9. Let y(o) = -46*o + 11. Calculate 5*t(a) + 3*y(a).\nAnswer: -23*a - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 838463\/184584 + -6\/7691. Find the common denominator of 40 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*n**3 - 21*n + 11*n + 13*n + 2*n**3 as x + i*n**2 + p*n**3 + y*n and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 2*g - 2, -3*g - 119 = z - 132 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of l**7\/840 - l**6\/60 + l**5\/20 - l**4\/6 - l**3 + 2. Let d(h) be the third derivative of g(h). Give d(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = t - 3. Let n be -2 - t - (6 + -3). Calculate the remainder when 74 is divided by (16\/(-4))\/n - -18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-12)*18\/(-2). Which is bigger: 5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*-8*12\/(-24)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/38 + 347\/418. Let 8\/11*j**2 + 2\/11 + w*j = 0. What is j?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 153 - 98. Calculate the lowest common multiple of 65 and b.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*d - 42. Let q be d + 2 + -1 + -1. Let p be (q\/(-15))\/(8\/20). Solve -20 = -0*v - p*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 998869623, 998869622, 998869621, 998869620?\n\"Answer: -t + 998869624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 146*c**5 + 3*c**4 - 153*c**2 + 3. Let u(m) = -m**5 - m**4 - m**2 - 1. Let j(b) = n(b) + 3*u(b). Find the third derivative of j(v) wrt v.\nAnswer: 8580*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2 = -10. Solve q - 9 = h*o, q - 19 = 6*o - 2*o for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/18 and 25\/38928?\nAnswer: 116784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12000 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**18*r**3\/(r\/((r\/(r**(-4)\/r))\/r)))\/((r**(2\/3)*r*r**5\/r)\/(r**(2\/5)\/(r**1*r))) assuming r is positive.\nAnswer: r**(266\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -21*q - 23. Calculate the remainder when 55 - (-13 + 13 - -4*1) is divided by b(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 520.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 80360942?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28.3 + -29.1. Let n = -0.05 + -0.25. Which is the closest to 0? (a) -2 (b) n (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 10) to base 7.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -1233?\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**3\/2 - 5*k**2\/2 + k + 5. Calculate g(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 33\/(-55) + (-16)\/(-10). Let g(m) = 8*m**3 - m + 1. Let y be g(1). Calculate the greatest common factor of y and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 + 74. Calculate the greatest common divisor of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-4)*(-40)\/(-360)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2610 = -5*j, -j + 0*j = 2. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -388 + 0.039.\nAnswer: -387.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h = 10 + 25 + 155 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -8*x + 2*x**2 - 9*x**2 + 2*x**2 - 2 + 4*x**2 + 20*x. Give q(5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 8 = -3*l, -4 = -4*s + l - 12. Let w = -2168\/51 - -85\/2. Is s >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 2*y**2 + 3*y - 3. Let d be v(2). Suppose -d*b + 685 = 2*b. Suppose -3*r + b = 5. Is 22 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*-1*-1)\/(sqrt(40)\/(sqrt(8) + sqrt(72)) - sqrt(5)).\nAnswer: -4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8730*g - 102 = 8713*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v = 24*v - 12. Let k(j) = 2*j + 3. Let m be k(-4). Let f(l) = -l**2 + 3*l. Let g(p) = -2*p**2 + 5*p. Calculate m*f(c) + v*g(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2316 - 2314. What is the closest to 0.2 in 1\/10, y, 5, -2\/11?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21\/83, 5, -3\/11, 0.5, 11 in descending order.\nAnswer: 11, 5, 0.5, 21\/83, -3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -67*m + 1. Let z be h(1). Let q(i) = 11*i**2 - 3. Let d be q(-3). Let w = d + z. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3004114.\nAnswer: 2, 1502057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1529 + -1528. Which is the nearest to 2? (a) -0.4 (b) -0.5 (c) -33 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106167 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 25*a**3 - 9*a**2 + 9*a - 12. Let t(v) = 6*v**3 - 2*v**2 + 2*v - 3. Give 2*g(j) - 9*t(j).\nAnswer: -4*j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 3*t = -12, s - 5*t = 20. Put s, 35, 0, 3 in decreasing order.\nAnswer: 35, s, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8632, 17440, 26208, 34918, 43552, 52092?\nAnswer: 60520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m - 14*m + 958*m**2.\nAnswer: 958*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -452 divided by 226?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 105038*j - 2 + 3581433*j.\nAnswer: 3686471*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 287 = 3*g + 24, -2*i = -g + 133. Let w = 230 + i. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 4*i - 92 = 19*j, i + 5*j + 16 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1707020265?\nAnswer: 3, 5, 4787, 23773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 3. Let v = 19 + -11. Let g = -10 + v. What is the nearest to y in -2\/5, -5, g?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*q + 117936 = 221*q. Suppose q = 12*v + v. Is 81 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 11002230332331?\nAnswer: -11002230332333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55 and 154?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**6\/20 - 13*y**5\/60 + 8*y**4\/3 - 18*y. Let w(d) be the third derivative of v(d). Differentiate w(z) with respect to z.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 3. Suppose 3*q = f*q + 3. Is (q - (-1 - -3))*35 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 30, 74, 164, 318, 554, 890?\n\"Answer: 3*c**3 + 5*c**2 + 8*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 0.4, -7, 1026, -0.325 in increasing order.\nAnswer: -7, -0.325, -1\/7, 0.4, 1026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhrrr. Give prob of picking 2 h and 1 r.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 85900219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*y + 4*f, -3*y - 2*f = -5*f + 9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 816, -16, -5, 1\/8, -1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 72*f**2 + 100*f - 3. Is j(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 12*n**2 + 19 - 7.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 18 and -42241.31822?\nAnswer: 42259.31822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(6*sqrt(252)*-1 + 5 + (5 + sqrt(252) + 2 + (-2 + sqrt(252))*-1)**2).\nAnswer: -72*sqrt(7) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/2 + 5\/10. Let l be 1 - -1 - (107 + a). Calculate the remainder when 1\/2 - l\/4 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/(-110))\/((52\/(-6))\/((-44)\/66))\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 3896137, -4 in increasing order.\nAnswer: -4, -0.07, 3896137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -586 - 348 = 221*k + 171 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2 - 43*g - 46. Determine c(-17).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111699532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from feyyyyyyfeyffeee. What is prob of picking 1 e, 1 y, and 1 f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -11. Suppose n*t = t. Suppose 0*d - d + 6 = t. Solve 2*k - 10 = 0, 0 = -4*u + 2*k + d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55798098 a multiple of 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 201 + -153. Let f = w - 50. Let x = -4 - 1. What is the third biggest value in -0.5, f, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 225 and 738.\nAnswer: 18450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 3495.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/56)\/((-234)\/(-312))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 1650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*2\/4*(-27)\/6. Solve -5*v + 4*h - o = 0, 3*h - 2 = 5*v + 11 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13310, -26622, -39934?\n\"Answer: -13312*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 20 - 20 = 0. Solve 4*l - h - 6 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4238\/15288 + (1 - 0 - 0). Let a = 4\/147 - m. Calculate the common denominator of -119\/90 and a.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214666007 a multiple of 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*p + 170 = 17*p. Let m(t) = -18*t + 127. Calculate the remainder when m(p) is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 577096385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -25*y**2 - 8*y - 3. Let h(j) = -8*j**2 - 3*j - 1. Calculate 11*h(k) - 4*n(k).\nAnswer: 12*k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*j + 5718, 4617 = j - 5*c + 3478. What is the least common multiple of j and 416?\nAnswer: 4576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -3*b - 13, 3*g - 6*b = -b + 17 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2642767?\nAnswer: 19, 367, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10632 = -0*l + 3*l. Let z be 78\/9*6582\/(-16). Let y = z - l. Find the common denominator of y and -23\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 10) in base 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3334705323 to the power of 1\/3, to the nearest integer?\nAnswer: 1494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q**5 - 130*q**4 - 160*q**3 + 630*q**2 + 175*q - 500 = 0 for q.\nAnswer: -5, -1, 1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/1025244 and -53\/297.\nAnswer: 1025244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 43 = -29 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10744 + -10742. Which is greater: 0.0035 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 19. Suppose -j - z*j = -447. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.03 (b) -0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a + 2*a + 0*a)*(-15*a - 10*a + 11*a)*(2 - 3 + 0) - 40 + 8*a**2 + 40 as v + z*a**2 + u*a and give z.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-221))\/(69\/(300495\/(-670))).\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*j + 3115 = 567 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + l**2 + l - 25. Let n be k(0). Let o be ((-16)\/10)\/(10\/n). Let z = o + -2. Solve -z = 4*f - 14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -6*v**2. What is p(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhijhih. What is prob of picking 2 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1bc9 - 7?\nAnswer: 1bc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 696 - (-18 - -16). Suppose n = -3*n - 16, -4*n + x = 5*o. List the prime factors of o.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0*l + 3*g - 429 = 0, -5*g - 421 = -2*l. Let i be -74 + 3 + 0\/(-3). Let n = l + i. List the prime factors of n.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 0 = 3*s. Let q(d) be the first derivative of d**s - 5*d**2 - 2*d**3 - 3*d**3 - 7. What is the second derivative of q(c) wrt c?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10650*p**4 + p**3 - p**2 + 12185*p wrt p.\nAnswer: 255600*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 1002*v + 94191. Calculate n(897).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.31052 and -2.\nAnswer: -1.68948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*v - 17*v = -905 - 1580 for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7651179 and 826.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -3029?\nAnswer: 3029.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 0*k + 0*k)*((1 + 3 - 3)*(-k + 3*k - k) - 4*k + 0*k + 2*k - 2*k - 2*k - 5*k - 2186 - 108*k + 2186).\nAnswer: 118*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-3 - (-8 + 16))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -54\/320735 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/5 (b) 0.1 (c) -1\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 129 + -113. Suppose 4*c + r = 0, -4*d + 52 = -2*c - 36. Solve 0 = -0*x + 5*x - d for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 6*j - 181. Let a(f) = -31*f + 906. What is 2*a(n) + 11*v(n)?\nAnswer: 4*n - 179","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 921497?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + v)*(2*v + 3*v + 9 - 2*v).\nAnswer: 3*v**2 + 9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/(-48)*(-18)\/(-27)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (814\/(-407))\/(-14*5\/(-20)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4\/3 - 470*q**3 - 77381*q**2\/3 - 117260*q = 0. What is q?\nAnswer: -1353, -52, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/9, 0.1, 2, 0.3, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19925 by 1497.\nAnswer: -19925\/1497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*l + 4 - 103 = 0, l + 143 = 2*h. Let a = h + -52. What is the smallest common multiple of a and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 184 - 919\/5. Solve i - 1\/5*l - 2\/5*l**2 = 0 for l.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18971*n - 4680*n + 51529 - 237312 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 x, and 1 p when three letters picked without replacement from zxmpwzm?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1881+-22\nAnswer: -1903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 24747977 to the power of 1\/2, to the nearest integer?\nAnswer: 4975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 1503*x**2 - 94*x - 47. Let q(c) = -501*c**2 + 34*c + 17. What is 4*k(d) + 11*q(d)?\nAnswer: 501*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -8. Suppose -9*z = -d*z + 58000. What is z rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57\/(-57))\/(8\/(-6)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 - -2.3. Suppose -j - 5*c + 26 = 11, -3*c = -9. What is the nearest to 1 in g, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2620 divided by 17\nAnswer: 2620\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -57*w. Let u(p) be the first derivative of -p**5\/120 - 13*p**3 + 5. Let n(a) be the third derivative of u(a). Give n(s(v)).\nAnswer: 57*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 200 and 72?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57751.8 days to nanoseconds.\nAnswer: 4989755520000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 239975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 27*v**2 - 27*v - 22. Let f be b(-26). Which is smaller: -5 or f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/(-10) - (-4)\/(-10). Suppose -2*y = -t*s + 693040, -3*y - s - 577675 - 461865 = 0. Let i = -776515 - y. Round i to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 + i + i + 3454*i**3.\nAnswer: 3454*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7077.412us?\nAnswer: 7077412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 725800756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 85, -1.4, -27 in decreasing order.\nAnswer: 85, 5, -1.4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -9 - (-58854)\/170)*15. What is the highest common divisor of u and 240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y + 14*y - 77*y)*(-3 + 0 + 2) to the form w + n*y and give n.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 4*y - 4*y)*(-5705 - 6891*y + 6889*y - 42043).\nAnswer: -2*y**2 - 47748*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -3*z**4\/2 + 5*z**2\/2 - 901. Let b(o) = -3*o**3 + 3*o. Determine -3*a(f) + 5*b(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 449.3 + -83.3. Let d = -365.999999739 + z. What is d rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 231, 388, 535, 672, 799, 916, 1023?\nAnswer: 1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -105, -2, -36 in ascending order.\nAnswer: -105, -36, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 6. Let a(u) = u + 12. What is the remainder when (22\/h)\/((-3)\/24) is divided by a(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000126813732 to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 4*o + o**2)*(2 - 4 + 1) + (5*o**2 + o**2 - o**2)*(-34 + 266 + 17).\nAnswer: 1244*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1323 less than -89716?\nAnswer: -88393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*w + 210*w = 293*w - 200*w + 17955 for w.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 - -64. Suppose -l = 3*t - 64. Suppose 4*h = -16, -6*h + 3*h = 4*j - 96. What is the remainder when j is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -392*b + 103684 + b**2 + 108*b - 360*b.\nAnswer: (b - 322)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 5:39 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 2*h**2 - 52 + h + 28 as d*h + p*h**2 + g and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -21. Suppose c = 11 + m. Let l(j) = 8*j - 24 + c. Let s(a) = -a**2. Determine l(s(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 965 is divided by 88.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/4 + (-9)\/(-2). Let r = 62 - 10. Suppose t*a - 8 = r. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 - 4030184*t + 8060352.\nAnswer: 4*(t - 1007544)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**4\/3 + 4540*u**3\/3 - 2576450*u**2 - 6474*u. Factor n(d).\nAnswer: -4*(d - 1135)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 0*i - 5*b + 26, i + 16 = 3*b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**3 - 5*p**2 + 34*p + 85. Is j(-26) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (2 + -5) - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 3*b + t, -3*b - t + 2*t + 225 - 206 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -88.27 - -88.35. What is the second biggest value in -4, -0.25, i?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17429, 17371, 17289, 17171, 17005?\nAnswer: 16779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*r - 9. Let g = 16 + r. What is the units digit of 1\/g + (-20)\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(-18)*(-3 + 9). Suppose 0 = -q*f - 25, -4*k - f - f + 10 = 0. Let n be (-3)\/9*(-2)\/(-5). Sort n, 3\/5, k in increasing order.\nAnswer: n, 3\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15165221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**3 - 3*m**2 + 6*m - 6. What is the units digit of j(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**5 - 662*q**4 - 36302*q**3 - 35638*q**2. Let b(v) = -3*v**5 - 663*v**4 - 36303*v**3 - 35637*v**2. Let u(i) = -5*b(i) + 6*x(i). Factor u(o).\nAnswer: -3*o**2*(o + 1)*(o + 109)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*x**2 - 12*x + 13*x**2 + x**3 + 3*x**2 + 5*x**2 - 49*x**2 to the form l*x**3 + q*x**2 + f*x + r and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-19)\/(2660\/462)*(-2)\/3. What is the closest to -2\/9 in u, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}