diff --git "a/data/dm_maths/full_data_1/10306_11255.jsonl" "b/data/dm_maths/full_data_1/10306_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10306_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let z(b) = -3*b**3 - 29 + 6*b**3 + 30 - 2*b**3. Let f be z(1). Suppose m = -f*m + 27. Is m < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2957743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 + 12. What is the remainder when q is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -14.79.\nAnswer: 4.437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/45*4 + 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or -4443\/394?\nAnswer: -4443\/394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 508*q + 6141 + 12147 for q.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -2*a**3\/63 - 4*a**2\/3 - 45. Factor c(p).\nAnswer: -2*p*(p + 28)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.26*-1366218\nAnswer: 355216.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 3441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -9*c + 4320. Suppose 18*m - c = 2*m. What is the remainder when 134 is divided by m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32) + (sqrt(320)*1)\/sqrt(10))**2 - (0 + sqrt(32) + -3)) + -1.\nAnswer: -4*sqrt(2) + 130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -13*y + 115. Let f be n(8). Put -4, -5, -8, f in descending order.\nAnswer: f, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 56398.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*j + 7*j. Let p(f) = -f**3 + f**2 - f + 1. Let x be p(j). What is the highest common divisor of 9 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 898*a + 4507. What is g(-6)?\nAnswer: -881","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-400)\/48 + 7 + (-129)\/(-9)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1080524*r**2*w**2 + 11*r**2*w - 29118*w wrt w?\nAnswer: 2161048*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4802339ml to litres.\nAnswer: 0.0004802339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/22957317065 + 576848505839631\/604052926614280. Let z = h + -1\/2392. Calculate the common denominator of z and 65\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**4\/48 + 2*u**3\/3 + 57*u**2\/8 - 715*u. Factor h(f).\nAnswer: -(f - 19)*(f + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847)*1 + -4)**2.\nAnswer: -88*sqrt(7) + 863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + (-4)\/10)*35. Let z be (-4)\/28 - (-110)\/g. Put z, -5, -1 in decreasing order.\nAnswer: -1, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47389 is divided by 41?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 14*x**2 + 2*x - 17. Let h be d(14). Let i = -13 + h. Is 1\/(i\/(1 + -363)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of 1009*r**4\/24 - 112*r**3 - r**2 + 224*r. Differentiate j(u) with respect to u.\nAnswer: 1009","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3760629.139 rounded to the nearest 100?\nAnswer: 3760600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5*p + 1421, 5*z - 952 = -2*p - 402. Let f = 53 + -38. What is the highest common divisor of f and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 5:00 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 8:42 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/3*(-15)\/30. Put 4, -14, p, -1 in descending order.\nAnswer: 4, p, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 3*w - 19 = 10*q, 0 = q + w + 9. Let z(i) = -i**2 - 7*i - 9. Let r be z(q). Sort r, -4, 5 in increasing order.\nAnswer: r, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.7 (b) -0.07 (c) -449 (d) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bgoeeebeon. Give prob of sequence ben.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 705 (base 11) to base 6.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53309617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 96 - 92. Suppose 3*c = -5*n - 19 - 1, -3*c = -2*n - 8. Suppose -3*y + 3 = -c*y. Sort o, y, 0 in descending order.\nAnswer: o, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2. Let d(n) = n**2 - 4*n - 4. Let p(w) = 3*w - 1. Let b(t) = 4*t - 2. Let k(o) = 2*b(o) - 3*p(o). Let v(j) = 3*d(j) - 12*k(j). Calculate v(q(f)).\nAnswer: 3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.5 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(2)*2 + -2 + sqrt(4)\/sqrt(2)*-1.\nAnswer: sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 2985 (c) -2 (d) -3\/7 (e) -3 (f) 0.02 (g) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013658 to 4 dps.\nAnswer: -0.0137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -27275 and 0.3.\nAnswer: -27274.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.11 - -4.89. Let d = x - 9. Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 771604952.\nAnswer: 2, 53, 293, 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - y, 2*s = -2*y - y - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13bb + 84?\nAnswer: -1337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 2*l + 4 = 0, -4*b = -9*b + 3*l + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11963 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - x + 3. Let r = 5 + x. Is (-1)\/r + (-3563)\/(-28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 0 + sqrt(245))*-2)**2 - (sqrt(20) + ((-2*sqrt(160) - sqrt(160))\/sqrt(8) - sqrt(20)))\/(sqrt(144) - (sqrt(144) + 1*sqrt(144))).\nAnswer: -561*sqrt(5)\/2 + 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 85, 189, 333, 517, 741?\nAnswer: 1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (67\/(6968\/(-130)))\/(1*3\/22)\nAnswer: -55\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a microgram in nanograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*p = -18*p + 2*p - 560 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 89398035 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -14. Let a = f - -8. Suppose a*o - 4*o = 3*l - 42, -4*o = 0. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - x + 26559 = 0, -69*i + 67*i - 2*x = -17702. What are the prime factors of i?\nAnswer: 2, 19, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -168838 less than or equal to -168844?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.125836589 rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - j - 12*j + 9*j + 0*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a minute in seconds?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -131.2 + 149. Let w = 17 - v. What is w rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 5*y + 8 = 0, -5*o - 52*y + 54*y + 19 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26.6 - -27. What is the second biggest value in 5\/6, -0.3, u, -33?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6680507 and 1241.\nAnswer: 487677011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = q - 12, -2*t + 4*q + 4 = -4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.2 - 11. What is the closest to 1\/3 in 3, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**7\/840 - c**6\/18 + 25*c**3\/3 + 7. Let q(n) be the third derivative of f(n). Find the third derivative of q(z) wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11432 divided by 4.\nAnswer: 2858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 5*q - 2 - 133, -2 = -q. Let c = -62 + 89. Let d = g + c. Is d a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 4*f - 4, 5 = -5*v - f + 12. Let p be (3*9)\/((-33)\/(-44)). Suppose 0 = -7*j - 5*j + p. Solve v*s + j*b = 5*s - 6, 0 = 4*s - 5*b - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 19*h - 15. Let m = -12 - -32. Let l be v(m). Suppose -1778 = -7*u + l*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2098*l + 120 + 4201*l - 2104*l)*(-4 + 3 + 4)*(-4 + 2 + 0).\nAnswer: 6*l - 720","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.1 - -8.9. What is the nearest to d in 4, 2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094663 less than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 244943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*6)\/3*84\/576*-3?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(76) + -2*sqrt(76)))\/(sqrt(256) - (2*sqrt(256) - sqrt(256)) - sqrt(256))*1.\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 - 9*p**2 + 7*p - 23. List the prime factors of h(7).\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 613 is divided by 88.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -156 - 61 + 744*d - 1376*d - 156 - 123 with respect to d.\nAnswer: -632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + -1)**2 + -5 + sqrt(684) + 3*(sqrt(684)*2)**2.\nAnswer: -6*sqrt(19) + 8888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9202, 36816, 82838, 147268?\nAnswer: 230106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1914\/91 - 123\/7. What is the common denominator of n and (2\/4)\/(47\/(-3384))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 - 192*c + 199. Let u be v(-97). Let t(q) = -2*q + 6 - 4*q + 0*q. Calculate t(u).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90891640643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 1472\/120) + 10\/6\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.9896 and 4820?\nAnswer: 4822.9896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 + 20*a**3 - 34*a**3 + 13*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2357639 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + 5 + 3*sqrt(28) + 3)**2.\nAnswer: 72*sqrt(7) + 284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 30 = -5*o - 6*f, 0 = 5*o - 5*f + 10. Suppose 2*h - 17 = w, -16 = -h - 3*w + 6*w. What is the remainder when 25\/(-2)*o\/5 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i**2 - 1151*i + 1. Let l(j) = -j**2 + j. What is -6*l(c) + m(c)?\nAnswer: 2*c**2 - 1157*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 126 + -102. Suppose -1139 = -b*t + 7*t. What is the lowest common multiple of 5 and t?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + g**2 - 4*g + 5. Calculate s(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 606 = -k. Let h = -5 + k. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 8) to base 10.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l = v + 445, 0 = -4*l - 35*v + 36*v - 105 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h**2 + 85335 - 4*h**3 - 85335 - 10*h**2.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 4, 7, 39, -4 in increasing order.\nAnswer: -4, 2, 4, 5, 7, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 2*q**3\/3 + 15. Let f(x) = 11*x. Calculate f(d(l)).\nAnswer: 22*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1729404615?\nAnswer: 3, 5, 23, 5012767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + -5*sqrt(704)) + 4 + 1*4*sqrt(704))**2*2.\nAnswer: 9216*sqrt(11) + 811296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 6581157?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8232, 8241, 8256, 8277, 8304?\nAnswer: 8337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1 + 1.15. Let w = z - -0.05. Which is the closest to w? (a) 0.2 (b) 2\/7 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1074905 and 248055?\nAnswer: 3224715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 745299353 to the power of 1\/3, to the nearest integer?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(162)*-2 - sqrt(162)) + sqrt(162))**2 + sqrt(162) + 4 - (-2*(-4 + (sqrt(2) - 1*sqrt(2)*4 - sqrt(2))))**2)*-1.\nAnswer: -458 + 119*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**5\/60 - t**4\/12 + 2*t**3 - 29*t**2. Let r be m(-11). Let v = 167 + r. Is v a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 3*h - u = 11, -4 = 4*u for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-46102)\/42 + (-8)\/(-12). Let o = z + 2613. What are the prime factors of o?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 9*v - 5. Let o be z(-1). Does 9 divide 114\/133 - 2382\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**4\/3 - 56*o**3\/3 + 196*o**2 - 2744*o\/3 + 4802\/3 = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 3*d**5\/5 + 3*d**4\/2 - 7*d**3 + 6*d**2 - 83. Solve t(z) = 0 for z.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/8)*s**(-2))**(-46)*((s*s**0)**1)**(-3\/35) assuming s is positive.\nAnswer: s**(10453\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*p**6 + 1684931*p**4 - 141436*p**2 - 5*p + 1 wrt p?\nAnswer: 1080*p**3 + 40438344*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -40270.9902 to the nearest 1000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -57.04701 and 0.4.\nAnswer: -56.64701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/(-6))\/(-5)*-3. Suppose 3*o + q = 4*z, z - o + 11 = 2*o. Find the third derivative of 34*c**3 + 25*c**z + 8*c**2 - 16*c**3 - 18*c**3 wrt c.\nAnswer: 600*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/347 at most as big as -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(170)\/(sqrt(10) + 5*sqrt(10) + sqrt(10)) + 0.\nAnswer: sqrt(17)\/7 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.64 + -43.36. Let m = -46.965 - g. Round m to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 363510.\nAnswer: 1817550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -22896*o + 22797. Give t(1).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613969?\nAnswer: 613969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41475 by 2765.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 6*h - 11. Let u(x) = -4 - 910*x**2 + 911*x**2 + 7*x - 6. Let d(z) = -5*g(z) + 6*u(z). List the prime factors of d(-19).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-1\/3)*b)**28)**33)**9)**(-6\/7) assuming b is positive.\nAnswer: b**(-4752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (6 + (-11 - 40)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37918446 divided by -25.\nAnswer: 37918446\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -110 + 81. Let b = u - -263\/9. Let a = -2 - -2.1. What is the second biggest value in a, b, 5\/6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.15 + 3.55. Let z = 3.40000143 - i. Round z to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2864 is divided by 58.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 296 + 282 + 2*d + 2*d + 4*d**2. Let y be n(3). Let k(s) = s**2 - s - 2. Let u be k(2). Is u <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*y - 2*y**3 + 3*y**4 - 4*y**4 + 2 - 62*y to a*y**3 + u + v*y + d*y**4 + b*y**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**7)\/(v\/(v**(-1\/6)*v)*v))\/(v**(-3\/5)\/v**9) assuming v is positive.\nAnswer: v**(73\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17*(-42)\/1785*10*(-2)\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -77910853*j**3*q**2 - 42912522*q**2 wrt j.\nAnswer: -233732559*j**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -13. Suppose 5*j + 6 = 26. Which is the third biggest value? (a) j (b) -3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.403*-30\nAnswer: -12.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (752*d + 1554*d**2 - 1552*d**2 - 4785*d)*(0*d - 2*d + 0*d).\nAnswer: -4*d**3 + 8066*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000014089846 to seven decimal places.\nAnswer: -0.0000141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**5\/2 + t**4\/2 + 7*t**3\/6 + t. Let j = 4 - 6. Let o(g) = -3*g**3 + 2*g**2 + 2*g. Determine j*r(w) + 7*o(w).\nAnswer: -w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/7 + 94*x**2\/7 + 1632*x\/7 - 12744\/7.\nAnswer: -2*(x - 59)*(x - 6)*(x + 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.338 and -0.48752.\nAnswer: -0.82552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 44, 87, 130, 173, 216, 259?\n\"Answer: 43*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence udn when three letters picked without replacement from kuuudnd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 6*i + 4*i + 0*i + 6*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**23*v*v*v**(-8\/5)*v)\/((v*v**(1\/4))\/v*v**5*v) assuming v is positive.\nAnswer: v**(363\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 21*o - 45. Determine p(19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 803735239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58231, 2\/23, -0.4, -2 in decreasing order.\nAnswer: 58231, 2\/23, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 121768*v - 88. Let k be h(-9). Round k to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 117108.1 and 15192452.\nAnswer: 15309560.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 2*f**2 + f - 4. Let m be n(6). Let h = 80 - m. Let l = h + 145. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49\/(-21)*(-6)\/8 + (-24149)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-6) - (1\/(-15))\/((-264)\/4980)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60189 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 4:05 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*j + 73. Suppose n - 3*n = -j. Suppose 0 = 2*u + n, r - u = 5 + 32. What is the highest common divisor of r and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*(-3)\/24*15362 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 10:14 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**2 - 10*q + 36*q**2 - 14*q**2 - 10*q**2.\nAnswer: 4*q**2 - 10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/(-4)*680\/(-51). Let t be 15\/g - (-2642)\/8. What is t rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i - 6. Let a be x(-9). Let f = a - -42. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, b: 3, z: 3, q: 3, f: 1}. What is prob of picking 1 u, 1 z, and 1 b?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4016.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 20 = -5*t, j - 3*t = -8*t + 14 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 - 59 = -9*a - 44. Sort 3, -15, a in descending order.\nAnswer: a, 3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6852 divided by 963\nAnswer: -2284\/321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10c (base 13) in base 7?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13678, -12771, -11866, -10963, -10062, -9163, -8266?\nAnswer: -7371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 20 = 5*v - v, -5 = 3*m - v. Suppose 2*t + 110 = 116. Solve 5*p - t*p - 8 = m for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3399 divided by 1\nAnswer: -3399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z**3 + 4*z + 4. Let c be d(-1). Let l be -1 - (c\/(-9))\/((-8)\/660). Calculate the greatest common factor of 432 and l.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/6 + -4)*(10 + -9 + 9).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -0.553, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xflx when four letters picked without replacement from {f: 1, l: 2, x: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**5\/2 - 1575*p**4\/2 - 258075*p**3\/2 - 9754125*p**2\/2 + 284923125*p = 0. Calculate p.\nAnswer: -185, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(12)\/sqrt(6)*5))\/((sqrt(10)\/sqrt(18) - sqrt(5))*4).\nAnswer: -3*sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-20) - 2\/(-5). Solve -5*n + n = a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13, -58, -105, -154, -205, -258?\n\"Answer: -g**2 - 42*g + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -895.864 - -862. Let a = -77 - -43. Let x = a - k. Round x to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -16*o**2 - 51*o + 2710. Let s(t) = 6*t**2 + 19*t - 1017. Calculate 19*s(j) + 7*x(j).\nAnswer: 2*j**2 + 4*j - 353","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53418, -426567, -1439306, -3411429, -6662730, -11513003, -18282042, -27289641?\nAnswer: -38855594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k*k*k**14)\/k))\/k)\/((k\/(k**(-2\/11)*k)*k)\/k))\/((k*(k\/(k\/k**(-6)))\/k)\/k**(-2\/5)) assuming k is positive.\nAnswer: k**(-527\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 5. Suppose 10*s = -1763 + 483. Let o be 2\/j + s\/(-228). Which is bigger: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 209857 by -9.\nAnswer: -209857\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -19. Solve l*h - r = -3*r + 19, 23 = 5*h - r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20737848841\/13280 + 1561585. Calculate the common denominator of n and 5\/4.\nAnswer: 13280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39 in -0.09, 0.1, 0?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + s - 14. Let c(k) = -31*k - 28. Let f be c(-5). Let q = -134 + f. What is the units digit of h(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/m**11*m)\/m**(9\/7))**(-2))**(1\/33) assuming m is positive.\nAnswer: m**(130\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**5 + 5*l**5 - 7*l**5 + 5*l**3 + (-3*l**4 - 2*l**4 + 0*l**4)*(-3*l + 2*l + 3*l).\nAnswer: -12*l**5 + 5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(1\/3)*w*w*w)**(-32)*w*w**(-2)\/w*w*w\/(w**(2\/9)\/w) assuming w is positive.\nAnswer: w**(-1337\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.5 - 8. Let p = -3 - c. Let a = -0.5 + 0.9. What is the nearest to 0 in a, p, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 34*d**2 + 237*d + 301. What is t(-25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 65 = -26. Let p be 6\/9 - (-2)\/6. Let f(y) = y**3 + 34*y**2 + 99*y + 190. Let o be f(-31). Sort u, p, o in decreasing order.\nAnswer: u, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -41, 0, 227746 in increasing order.\nAnswer: -41, -4, 0, 227746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -451*g - 17. Let w(l) = -905*l - 40. Determine -7*h(k) + 3*w(k).\nAnswer: 442*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9708?\nAnswer: 2, 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*k**3*p**3 - 129*k**3 + k*p**3 - 128*k*p - 2 wrt k?\nAnswer: -30*k*p**3 - 774*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1700.000004963 - -1700. What is v rounded to 7 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + f + 1. Suppose 5*d - 6*d = -4. Suppose -a + 2 = 0, -v + 2*v - d*a + 7 = 0. Let c(o) = 6*o**2 + 5*o + 5. What is v*c(l) - 5*p(l)?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 3*r - 4*r + (2 - 4*r - 2)*(-4 + 5 + 1)*(3 - 4 + 2 + 5 - 3 - 4 + (-1 + 1 + 2)*(-6 + 3 + 4) + 2 + 2 - 1 + 0 - 2 + 4)*(-1 + 2 + 0).\nAnswer: -51*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2 + 24*w. Let t(h) = -h. Let d(r) = 4*r**3 + r - 2. Let k be d(1). Calculate k*g(l) + 72*t(l).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 35*w**2 + 219*w - 1103. Determine d(-24).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/23 (b) -4 (c) 0.2 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/270 and -43\/16?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 988161000 rounded to the nearest 1000000?\nAnswer: 988000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*v - v - v + 64243. Solve -v + 3773 = -3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 6*b + 2*b + 7948988, 4*p = 5*b + 7948979. Let m = p - 917246. Round m to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 227 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -200?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7170 and 19359.\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -289 - -517. Let y be u\/21 + (-2)\/(-14). Calculate the greatest common divisor of 99 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 10:30 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220212 + 110221022?\nAnswer: 110000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1029938112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 8, g: 3, i: 3, h: 3}. What is prob of picking 2 i, 1 a, and 1 h?\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19\/5 or -253?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/36 and 31\/956.\nAnswer: 8604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1426*n + 238 wrt n?\nAnswer: -1426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*d + 93053 - 36970. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/6*36\/15\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 7. Let t be 2\/v - (-704)\/40. Let q = -10 + t. Solve 3*g - i - 2 = 0, 0*i + 4*i = 5*g - q for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, 552, 1587, 3044, 4929, 7248, 10007, 13212?\nAnswer: 16869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/17*(-1)\/((-5)\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -2312, 0, 3 in ascending order.\nAnswer: -2312, -5, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 + -0.23. Which is the biggest value? (a) -2 (b) v (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61934531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 19*h - 664. Let w be y(32). Let p(f) = -5*f**2 - 6*f + 2. Let g be p(4). Let s = w - g. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 99*j**2. Let x(h) = 2*h - 1303. Give x(w(p)).\nAnswer: 198*p**2 - 1303","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 9:10 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 27*g**2 - 25. Let f(j) = 54*j**2 - 48. Let y(s) = 4*f(s) - 7*x(s). Differentiate y(l) wrt l.\nAnswer: 54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 18*i**2 - 469*i - 12054. Determine h(42).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -6*d**3 - 7*d**2 + 46*d + 171. Calculate a(-4).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of 0*s + 0*s**6 + 0*s**4 + 0*s**3 + 17\/35*s**7 + 0 - 3\/4*s**5 - 147*s**2. Find the third derivative of q(y) wrt y.\nAnswer: 2448*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*r**2 - 22*r**2 - 9*r**2 - 20*r**2.\nAnswer: -37*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 103*z + 5. Let k(s) = 6076*s + 294. Let v(n) = 5*k(n) - 294*r(n). Let t(p) be the third derivative of -p**5\/60 + 40*p**2 - 69. Determine t(v(a)).\nAnswer: -9604*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 4:23 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 2012 and -0.75927 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -15 + (-8)\/4 + 3. Let b be 44\/(-154) + (-4)\/v. Let z(n) = -n**3 + n**2 - 1. Determine z(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 + -1)*(-13)\/130*5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 6*t**3 - 6*t**2 + 4. Let k be (120\/105)\/((-2)\/(-7)). Let g(o) = 0*o**2 + 3 - 9*o**2 + k*o**3 + 5*o**2. Give 7*g(y) - 5*r(y).\nAnswer: -2*y**3 + 2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 3 = -2*n, -2*n = 3*z - 2*z + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1364 - 13*m + 1364 - 2728.\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -18. Let k = a + 12. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 3*t - 5*j, -5*t + 35*j = 39*j - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 55*b**2 + 123*b + 45. Let c(p) = -p**3 - 37*p**2 - 81*p - 30. Let t(d) = 8*c(d) + 5*q(d). Suppose t(v) = 0. What is v?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*o + 51*o + 56 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1526 - -2733. List the prime factors of s.\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-19)\/(-57) - 1799\/(-3). Let a = h - 390. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2628781354?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 - 82*v - 65. Calculate the least common multiple of (-40)\/(-6) - 4\/6 and a(-40).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8572783?\nAnswer: 8572783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 36?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4878660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b - 5*b + b + 3*b. Let v(p) = 3*p**2 - 4*p**2 - p**2 + 2 + 3. Let m(k) = -3*k**2 + 7. Let g(x) = -5*m(x) + 7*v(x). What is q(g(f))?\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32000 is divided by 119?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70194 - 180383 = -27624*r + 24605*r for r.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34883\/51 + 684. Let l(d) be the second derivative of 4\/255*d**6 + 0*d**2 + h*d**3 + 0 + 2\/51*d**4 + 1\/357*d**7 + 3\/85*d**5 + 22*d. Factor l(v).\nAnswer: 2*v*(v + 1)**4\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(468) + -1) - sqrt(468))**2 - ((sqrt(39) + sqrt(624))\/sqrt(3) + sqrt(13) + -3).\nAnswer: -30*sqrt(13) + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3269271 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-7)\/u*u*u*u)\/(u\/(u\/(u\/((u*u**12)\/u))))*u\/u**12*u**(3\/7) assuming u is positive.\nAnswer: u**(-18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 6:31 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z - 2 - 2*z + 8*z. Let a be i(7). Let t be a\/7 - (-14)\/49. Solve 5*w - 4*k - 21 = 0, 2*k + k = -3*w - t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 f, and 1 t when three letters picked without replacement from {c: 1, o: 1, e: 1, t: 2, f: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 126 + (4 - (94 + -60))\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 33288.6 * -5\nAnswer: -166443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -1) + 67 + -66. Let g(i) = i**2 - 7*i - 5. Let n be g(8). Suppose 4*b = n*b + 10. Solve -b = -l*k - 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (0 - (2 + -2)). Suppose 0 = -3*i - l*i + 115. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -545, 3, 551?\n\"Answer: 548*z - 1093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 4*w**2 + 2*w + 2. Let p be b(3). What is the nearest to -1 in 0.2, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -56197 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-52)\/(-14) - 4)\/(24\/938) and 5\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/7 of a week in minutes?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -311*w**2 + 136*w**2 - 435*w**2.\nAnswer: -610*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -19*p**3 + 2*p**2 + 9*p - 2. Let o(x) = 19*x**3 - 2*x**2 - 10*x + 1. Let m(a) = -4*o(a) - 5*r(a). List the prime factors of m(2).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 8*i - 1. Calculate l(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 87a?\nAnswer: -87b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z**2 - 109*z + 4. What is the tens digit of a(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 120, 107, 82, 39, -28?\n\"Answer: -v**3 - 6*v + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-5))\/(145\/75 - 2). Suppose 5*o + 3*i - 47 = 6*i, u*i - 3 = 0. Solve 5*l - 6 = -j, j - 4*j - l = o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 f when three letters picked without replacement from zzzf?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246 - 5*m**2 + 689 - 443.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1606 divide 28763460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**3*s + j**2*s**2 - 4017*j**2*s + j**2 + 20*j*s**2 + 9*j*s + 43*j + 2*s**2 wrt j?\nAnswer: 12*j*s + 2*s**2 - 8034*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 17. Let h be q(7). Suppose 482*d - 17 = 465*d. What is the units digit of (h\/50)\/(d\/55)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 148686563, 297373130, 446059697, 594746264?\n\"Answer: 148686567*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -12*k + 1686. Calculate x(103).\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -59*8731.1\nAnswer: -515134.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 8*k + 2. Suppose -2*h + 108 = 4*f + 32, 3*h + 3*f - 102 = 0. Suppose h*r - 260 = -20. Give u(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 n when three letters picked without replacement from {n: 3, h: 1, o: 1, y: 2}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*b - 80*b + 3 = -x + 92*b + 92*b, -x - 4*b = -3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1330 is divided by 242?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 76?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 6)*(440*i + 30 + 776*i - 30) as a + w*i and give w.\nAnswer: -2432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 9*u = x - 312, 0 = x - u - 344. Let j be 388\/(-6) + 2\/(-6). Let z = x - j. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70848*o + 61*o**3 - 141695*o + 70847*o.\nAnswer: 61*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1245)\/498*(-12)\/30?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**0*f**0)\/(f**(-1\/6)*(f\/f**(-3\/10))\/f) assuming f is positive.\nAnswer: f**(13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -4\/39896239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - 14 + 24 - 10.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -4. Let f(j) = j**2 - j. Let k(m) = -m**2 - 2*m + 2. Let t(o) = -2*f(o) - k(o). Determine t(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23100 - 22?\nAnswer: 23034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1620917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13403, -28827, -44251?\nAnswer: -59675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2331907 is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*l - 59*l = 218151. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 + 3*v**3 - 5*v**3)*(19 + 5*v - 19)*(2 - 4 + 1).\nAnswer: 10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2033142 - -4433?\nAnswer: -2023204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 648480284 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 255507349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 116*l**2 + 246*l + 42507. What is p(-117)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1356 and 964.\nAnswer: 326796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77) - -3*((sqrt(77) - ((1*sqrt(77) - sqrt(77)) + sqrt(77))) + sqrt(77))))\/(sqrt(175)*3) + (-4*(4*sqrt(99)*1)\/sqrt(9))**2.\nAnswer: -sqrt(11)\/5 + 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3635.475 to 0 decimal places.\nAnswer: 3635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40*v**3 - 7*v**3 - 22*v**2 + 22*v**2 - 4*v**2 + 4*v**2 - 3*v**3 + (5*v - v - 2*v)*(v**2 + v**2 + 0*v**2) - 3*v**3 + 4*v**3 - 8*v**3.\nAnswer: -53*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -35*d**2 + 2*d - 2. Let v(b) = -7037*b**2 + 403*b - 403. Calculate 6*v(r) - 1209*y(r).\nAnswer: 93*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 185.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f - eea?\nAnswer: -f09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 4*v - 3*v, 2*r - 4*v = -6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18002040479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -z**4 + 146486*z**3 - 114*z**2 + 54*z + 3 wrt z?\nAnswer: -24*z + 878916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/5 (b) -6\/7 (c) -2\/21 (d) 317 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 + -17. Suppose 3*r = k + 16. Let x = -9 + r. What is the remainder when x is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 401*r = 388*r + 45227. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 725507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7597564 rounded to the nearest ten thousand?\nAnswer: 7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 5*c**2 - 2. Let u be d(5). Let w(y) = y**3 - 7*y**2 + 9*y - 5. Let n be w(7). Let o = n - 63. Sort o, -4, u in decreasing order.\nAnswer: u, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 13. Let g be c(-3). Suppose 5*k - 500 + g = 0. What is the remainder when k is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(6\/19)*p**(-13)*(p*((p\/(p\/((p\/(p*p**(-11\/3)))\/p*p)))\/p)\/p)\/p*p**(-7\/3) assuming p is positive.\nAnswer: p**(-761\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4523620918 to the nearest integer?\nAnswer: 1654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 349*j**2 + 786*j + 29488. Let i be a(-351). What is t in 8\/5*t - 12\/5*t**3 - 2\/5*t**i - 18\/5*t**2 + 24\/5 = 0?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*j - 12*j + 9*j = 104 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -3*u - 47, 272*u + q = 248*u - 500 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 512\/221 + -42\/17. What is the closest to -1 in -2, -0.2, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/2))**(-26\/7)\/(g*g*g**(2\/7))**22 assuming g is positive.\nAnswer: g**(-365\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 200a65?\nAnswer: 200a62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.52, 5, 3, -0.7, 3\/4?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 4*q - 5*q**2 - 7 - 4*q. What is h(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12898 is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7740*w**6 + 57*w**2 - 3*w - 4 wrt w?\nAnswer: -928800*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/(-75)*-5 + (-207165)\/155421. Is 1 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3777172 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11447 - -5050?\nAnswer: 16517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - -11. Calculate the remainder when t is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {e: 1, n: 3, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**3 - 38*c**2 - 14*c + 16. Let f be y(13). Solve 17 + f = 5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-941)\/(-2))\/(104\/16 + -6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6416*t**3 - t**2 + 2*t - 443 wrt t?\nAnswer: 38496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 11 + 19. Suppose -3*x = 3*z - 57, 3*z = -2*x - 0*z + 38. What is the remainder when x is divided by k\/2 + 2\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**3 + 4*c**2 - 2*c + 3. Suppose 4*w = 5*s - 3*s + 10, 2*w + 4*s = 10. Let h(k) = 4*k**3 + 5*k**2 - 3*k + 3. Give w*a(j) - 2*h(j).\nAnswer: j**3 + 2*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 f when two letters picked without replacement from {f: 11, m: 1, i: 1}?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2. Let y = 0 + 5. Let h = 7 - y. Let f(w) = -2*w**h + 3*w**2 - 2*w**2 + 0*w**2. Give f(q(s)).\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 5*p + 10. Let c be l(-7). Let o = -3 + 3. What is the nearest to o in -1\/3, c, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3944.319 meters in nanometers?\nAnswer: 3944319000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2018*d**2 - 2*d + 50. Let g(y) = 4034*y**2 - 5*y + 125. Let r(p) = 2*g(p) - 5*x(p). Let t(q) = 3*q. Calculate r(t(s)).\nAnswer: -18198*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 + -21. Let w = -16.01 + b. Round w to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(1 - 9\/(-6)). Suppose 7 - 62 = -h*v. Calculate the remainder when v is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 1 (b) -3\/2 (c) -591 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 725.77 to the nearest integer.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2. Let v(s) = -s**3 + 1. Let u be (-3)\/((-9)\/(-20))*1*3. Let l = u + 18. Determine l*v(t) + k(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -79, -103, -125, -139, -139, -119, -73?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46928537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnxrrxrrxbppbbrbpr. What is prob of sequence xnr?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 33, 57, 87, 123?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 20827764.\nAnswer: 20827764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000605 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 181.4 + -192.7. Which is the nearest to -1\/4? (a) -2 (b) 6\/7 (c) -4 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 9, -7, -29, -57, -91?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 256, 267, 278, 289?\n\"Answer: 11*u + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 5*z = 3*g - 19, g - 60*z - 145 = -13*z for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 114 + -97. Let p(z) = 3*z - 47. Let x be p(w). Suppose -3*n = -x*c + 13, -3*n = c - n - 6. Solve m + c = -0*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 14 = 2*s + w, 5*w - 1 = -2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((126\/(-27))\/(-7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*d - 0*d. Let n be (-3 - -1)*(3 - d). What is the third derivative of 3*f**2 - 2*f**4 + 3*f**4 - 5*f**n wrt f?\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16526, -1, -0.4, -4278?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 11100?\nAnswer: 11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 276397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67846 is divided by 329?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 50405040 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -24 - 4\/(-8)*2. Let k = j - -17. Let s(c) = -14*c - 9. What is the units digit of s(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18766619 and 1075.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -98.2 and -482?\nAnswer: 383.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0571 * 4510.\nAnswer: 257.521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/11, -46, -1801, -1 in descending order.\nAnswer: -1\/11, -1, -46, -1801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-17)*(l**(-1\/2)\/l)\/l assuming l is positive.\nAnswer: l**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1\/3))**35*((t**(-7\/2)\/t)\/t)\/(t*t\/((t\/(t*t\/(t*t\/(t*t**(1\/2)*t)*t))*t)\/t)) assuming t is positive.\nAnswer: t**(116\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 x when two letters picked without replacement from gxgxggctgggggg?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.2 (b) 78 (c) -4 (d) 3\/7 (e) 0 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2867 - -2868. What is the greatest common factor of y and 491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7720 is divided by 164?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 808613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -97.8576 and -0.01.\nAnswer: 0.978576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in 5, 1\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36642892019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 6*h - 1. Suppose 4*q - 37 = 3. Determine s(q).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 353, 694, 1039, 1388, 1741, 2098?\nAnswer: 2459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*b - 12205 = -18483 for b.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 407 = 4*c + 5*k, 20 = 5*k. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35018 is divided by 430.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o = 10*o + 1557. Let u = 816 - o. Round u to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -fa8 + 4?\nAnswer: -fa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -2*u + 2*s + 2*s, -3*u = 5*s + 120. Let x = 44 + u. Suppose a + 673 = x*b, -2*b + 157 = -b - 4*a. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 2*d + 0*d + 5*f + 1 = 0, 9 = -3*d + 7*f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112583265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-50)\/(-20)*(-4)\/(-6). Let o = s - 1. Factor -4\/3 + o*y + 2\/3*y**2.\nAnswer: 2*(y - 1)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7816.55 micrograms?\nAnswer: 7816550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**4 + 3*p**4 - 3*p**4)*(-292 - 396 - 415 - 1957*p + 1123).\nAnswer: 1957*p**5 - 20*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -3, -0.1, 0.0328, 9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9570624, 9570614, 9570604, 9570594?\nAnswer: 9570584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 19 = -3. Suppose q*t - 17 = 3. Solve -4*f - n - t = -4*n, 5*f + n = -11 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162336221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13\/4*(9\/(-3) - -7) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-351)\/364)\/(-27)*7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 less than 78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 + -7. Suppose 21 = h - n. Suppose 0 = 2*l + 7*t - 4*t - h, 3*t = -3*l + 117. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -957 + 320 + 317 - c + 320.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1215579 + 2182082. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1679, 1560, 1403, 1208, 975, 704?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 0 - 1\/90*i**4 + 0*i**2 + 1\/225*i**6 + 6*i - 1\/150*i**5 + 1\/45*i**3. Factor q(m).\nAnswer: 2*m*(m - 1)**2*(m + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nstsmnstsmmsm. Give prob of sequence sttm.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508992 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -3*b**4\/2 + b**3\/3 + b**2 + 2*b - 97. Let a be o(-1). What is the highest common factor of a and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1259.4 greater than 2124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10 - 5\/(40\/(-88))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50750 divided by 14?\nAnswer: -3625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -17 (c) -25704 (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by -349.\nAnswer: 28\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.21 - 488.21. Let j = -486.99293 - b. What is j rounded to 4 dps?\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j**2. Let q(p) = -107513*p. What is q(n(f))?\nAnswer: -430052*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 2611260?\nAnswer: 2611260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*f - 34 = -14, u + f = 0. Suppose k + 4*c = 31, -c = -u*k - 0*c + 50. Suppose -a + k = -2*b + 3*b, 12 = 4*a. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -305257 times 24\nAnswer: -7326168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -119*f**2 + 217*f - 49. Let w(q) = 5*q**2 - 9*q + 2. Let v(d) = 2*o(d) + 49*w(d). What is the second derivative of v(x) wrt x?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 6 = -3*g. Suppose g*d + d - 84 = 0. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 7 + (-8)\/(-4). Factor 4*n**2 + n + 2*n + 35 - 59 - i*n - n.\nAnswer: 4*(n - 3)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -0.188954 (c) -2\/5 (d) -1 (e) -2\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0.1 (c) 2\/15 (d) 5\/2 (e) -0.5 (f) -104\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 137. Let q(c) be the third derivative of c**5\/120 - 17*c**3 + 5*c**2 + 3*c. Let b(x) be the first derivative of q(x). Determine p(b(l)).\nAnswer: -l**2 - 137","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 7 + 4 - -3 - (-106 - -111)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 10. Suppose 4*o - b - 26 = 0, 0 = -2*o + f*b + 32 - 10. Suppose o*n - 20 = 214. What are the prime factors of n?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 56, 7, -3 in increasing order.\nAnswer: -3, 4, 7, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/5 - (1788\/10)\/(-2). Let t = 29 + j. Let f = -6 + 26. Calculate the remainder when t is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -78\/121 = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 226962 by -4203.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 11*c + 33 = 0. What is the highest common factor of 22 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 33.8\nAnswer: 202.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 4594 = -3290. Suppose 4*t - s = 3112. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 335 = 4*b + b, 2*b = 5*x - 151. Let a be (-238)\/b - (-4)\/18. Sort -4, 10, a in descending order.\nAnswer: 10, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2352606?\nAnswer: 2, 3, 392101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -10.7. Let i = x - 0.3. Let k = 177 - 176.9. What is the second smallest value in k, i, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19488 is divided by 4872?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4905 + -4675. Suppose -g = 2*g + 2*s - 181, -10 = -5*s. What is the remainder when l is divided by g?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 8) in base 2?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 76500 and 20469370.\nAnswer: 20545870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lssu when four letters picked without replacement from sssussssusullssussu?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k**3 + 5*k**2 - 5. Let x(o) = 5*o**3 - 4*o**2 + 6. Let p be (68\/102)\/((-2)\/18). Determine p*c(l) - 5*x(l).\nAnswer: -l**3 - 10*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4417279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-45562)\/88 - (13 - 3 - 15\/5). Is k bigger than -526?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82 + -331\/4. Let m = -3.81 - -47.81. Which is bigger: h or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 740\/(-111)*(-12)\/(-16)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/807 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a factor of 674205996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, 18\/7, -2, -5, -30, 0.9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-16)*d**(2\/11)\/d assuming d is positive.\nAnswer: d**(-185\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 35441*m = 35456*m - 98, 4*q + 10 = -m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 888723 and 3561195?\nAnswer: 6303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 5:55 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**3 - 13*b**2 + 7*b - 6. Let f be c(6). Factor 0*q - 1\/2*q**2 + f.\nAnswer: -q**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g + 2. Let m be q(1). Suppose -2*h + 18 = -5*y + y, 0 = 2*h - m*y - 23. Let o(z) = -3*z**3 + z + 1. What is o(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -53.5 and 249201.7?\nAnswer: 249255.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161.08 at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tb when two letters picked without replacement from tlfyyytltpttybb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/42 - (-4 + (-31625)\/231)) + 7. Let l be (-902)\/(-6) + 1\/(-3). Which is smaller: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 10. Let p = 7 - 14. Let x be w(p). Let l(y) = 4*y**2 - 3*y + 3. Let n(f) = 5*f**2 - 4*f + 4. Calculate x*n(i) - 4*l(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 121 - 119. Let v = -496 + 528. Calculate the remainder when v is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 7:50 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**4\/12 + w**2. Let x(g) be the third derivative of g**5\/60 - 11*g**2. What is t(x(q))?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -15. Solve 0*o - o = a for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 7 - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 5*r + r)*(-r - 2*r + 5*r) + (7*r + 3*r - 4*r)*(0*r + r + 2*r) + 2*r - 2*r**2 - r - 2 - 2*r.\nAnswer: 12*r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 392 and 2655184?\nAnswer: 18586288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141, 319, 497?\nAnswer: 675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 3*n - 36, -3*s + 139 = -4*n + 173 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 324 - 324.5. Which is the nearest to -1\/3? (a) 1 (b) 15 (c) 3 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/51 - (-1520)\/(-4250))\/(264\/(-5940))?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -46164721 - -4?\nAnswer: -46164716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -1\/39, -68.\nAnswer: -68, -1\/39, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -88*d**2. Let s(t) = -6*t**2 - 1326*t + 1326*t. Calculate i(s(u)).\nAnswer: -3168*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3111 at most as big as 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 1. Let x(b) be the first derivative of b - 5. Let y = 20 + -9. Suppose -4*c = -y + 7. Determine c*x(k) + 2*n(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 5*s + 5*s - 4 - 9*s.\nAnswer: s + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*c. Suppose -d - v = 4 - 3, -5*d + 5*v - 5 = c. Let w = -1 - 1. Is d > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 131*b - 697. Calculate the remainder when x(6) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -130, -263, -396, -529, -662, -795?\n\"Answer: -133*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.36588 * 67.47.\nAnswer: 24.6859236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -241443 (base 9) in base 16?\nAnswer: -2381a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17450055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -292615\/94 or -3114?\nAnswer: -292615\/94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0314 - 0.1314. Let k = 310\/939 - -1\/313. What is the nearest to k in 2, 9, g, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-20)\/(-6))*(-96)\/9216*60.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2519.\nAnswer: 11, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*l + 3*l. Suppose -16*k + 28 = -2*k. Calculate the smallest common multiple of l and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 175 + 737. Let i = -319 + l. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13976000 to the nearest 100000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 283 + -298. Let m = -0.028 + 2.128. Let l = m + -2. Which is bigger: l or h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t - 3, 4*j + 75 = 4*t + 91 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 4*y + 3*y + (-2 + 4 - 4)*(y + 0*y + y))*(4*y - 4*y - 2*y + 3*y + 4*y - 6*y + (2 - 1 + 0)*(-4*y + y + y) - 3*y - y + 2*y - 2 - y + 2).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**3 + 22*p**2 - 821*p - 1. Calculate n(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-40)\/(-35))\/(-4))\/4.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.0372, 4\/7 in decreasing order.\nAnswer: 4\/7, 0.0372, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -21. Let i(a) be the second derivative of a**3\/6 - a**2\/2 - a. Let f be i(q). Solve -3*r + 3*h = -30, 2*h - 6*h + f = 5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.47 - -0.5. Let m be (3\/(-9))\/((-2 + 3)*-20). Let s = -77\/180 - m. Sort s, -0.1, f in increasing order.\nAnswer: s, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -101 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(4840) + sqrt(4840) + sqrt(4840) + sqrt(4840)*1 + sqrt(4840)))\/(-1*sqrt(968)*-4).\nAnswer: -5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*n - p - 1 = 0, 5*n = -2*p + 19. Suppose -n*w - 2*w = -45. What is the remainder when 26 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (10\/(-15))\/((-28)\/2838738) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-five halves of a microgram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469*g + 28690 = -417*g + 15363 - 25657 for g.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64820*z**2 - 64*z + 1 + 129685*z**2 - 64866*z**2.\nAnswer: -z**2 - 64*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/253644 and -95\/6?\nAnswer: 253644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 - 2*r - 568 - 17*r**2 + 17*r**2 + 189 - 232 to the form k*r**2 + h + c*r and give h.\nAnswer: -611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19833 - -20517. What is the lowest common multiple of y and 114?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 25*i**2 + 7*i - 3. Suppose 4*q - 5*q = 3. Is j(q) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -1. Sort v, 0, 3 in decreasing order.\nAnswer: 3, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/3 >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-257)\/(-11822)*(-2)\/1?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4 = 3*n, 0 = 2*m - 3*n + 4. Let r(w) = -28 + 63 - 8*w**2 - 28. Let v(p) = -4*p**2 + 4. Give m*r(k) - 7*v(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1578271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 47*f**2 - 317*f - 41. What is r(0)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/15385712 and -29\/20.\nAnswer: 76928560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -573*b - 115*b - 243*b**3 - 146*b**3 + 26*b**3 wrt b?\nAnswer: -2178*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173 + 1039*c + 84 + 89.\nAnswer: 1039*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 712*d - 2. Let j(l) = 713*l - 1. What is 3*j(f) - 2*z(f)?\nAnswer: 715*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -249, -246, -243, -240?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -134 + 220. Let q = -85.989 + o. Round q to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551317 is divided by 8187.\nAnswer: 2788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 125\/45 + 4\/18. Solve z*h = 2*h - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-57)*2 + 48\/95. What is the closest to u in 2\/5, 1\/8, -3\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*p - 7*p + 4500, -5*b + 1500 = p. Let d be ((-1256)\/(-3))\/(2\/p). Round d to the nearest ten thousand.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18069851 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: Let p = 253\/5 - 51. Let y be (-1 + 1 - 1) + 3. Suppose 0 = 4*z - y*n, 4*z + 0*n = 5*n. Which is the nearest to 0.1? (a) p (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 0. Let c be (-3)\/(w + 0) + 765. Suppose -t + 6*u + c = 2*u, t - 5*u - 763 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-60)\/(-14))*(-46620)\/97902.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/40)\/((-16)\/10).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 159 = -3*p, 57 = 4*z - 2*z + p. Calculate the highest common factor of z and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20*4\/80)\/(-3 + 5)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2 = 0, 0 = 6*n - 4*n + 3*a + 4. Suppose -5*q = 3*s - 4*s - 116, s = -q + 22. Let x = q - 1359\/59. Which is greater: x or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130303030303312 + 0?\nAnswer: 130303030303312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -13*i + 35. Give l(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 406 - 401. What is the remainder when 14 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 8*j + 9. Let c be n(-6). What are the prime factors of 31\/3 - (-1)\/c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + (0 + sqrt(704))**2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*x = 0. Suppose z = -x*z + 5. Solve -28 = -5*s + s - 4*p, z*s - 4*p = -1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130552 < 130520?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 12*z**2 + 13*z - 13. Let a = 1010 + -1023. Calculate b(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1510 - 197. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + -5)\/(-1) - 2. Let a be -3 - 57*(f - 2). Let m be 6\/8 - (-117)\/a. Which is smaller: m or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 - (-69 + -16 + 129)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 91, 213, 393, 637?\nAnswer: 951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -322578 (base 10) to base 3\nAnswer: -121101111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**10)**10 assuming q is positive.\nAnswer: q**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124 and 39804.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47*g*v**3 + 40*g*v + 37*g + 1576*v**4 - 2*v + 8 wrt v.\nAnswer: -282*g*v + 18912*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3270*b**2 + 1033*b**2 - 4850*b**2 + 4*b**3 to v*b**3 + y + c*b + j*b**2 and give j.\nAnswer: -7087","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 - 20 - (-65 - -72)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 8 - 10. Calculate the lowest common multiple of c and 3\/(-4) + 8\/(224\/301).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/6 - 10*l + 58\/3.\nAnswer: (l - 58)*(l - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 335 and 402?\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 divided by 1?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.106 + 3.894. Let r = -0.02 + 0.02. What is the closest to r in q, 3\/14, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q**2 + 3*q. Let o(b) = 2*b + 167348. Determine o(d(z)).\nAnswer: -10*z**2 + 6*z + 167348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(165\/77)*(-14784)\/784.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/6594952 and -97\/910.\nAnswer: 32974760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4790339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10234188, -20468394, -30702602, -40936812, -51171024, -61405238?\n\"Answer: -b**2 - 10234203*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112\/18*(-30)\/(-40)*(-117060)\/13657?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -95670*k + 191317*k - 97154*k - 2 as w*k + h and give w.\nAnswer: -1507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1*39\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4720 - 4690) + (36 - -1)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 22*s**2 + 9*s**2 + (2*s - 3*s + 2*s)*(3 - 3*s - 3) - 4*s**2 - 8*s**2 - 2*s**2 + 3*s as w*s**2 + y*s + u and give w.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 8*a**2 + 8*a + 5. Let b be n(-7). Find the common denominator of -121\/6 and 2785\/(-300) - b*4\/(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + 2 + -35 + 15 + -10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 85\/25 - (-2)\/(-5). Solve 7*q - y*q + 4 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 127571458 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.68 - 15. Let c = -16.78 + 17. Let b = c + r. What is the closest to b in -2\/11, -3\/2, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -8*l**7\/105 - l**4\/6 + 9*l**2 + 17. Let h(s) be the second derivative of k(s). What is the second derivative of h(t) wrt t?\nAnswer: -192*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -364 + 2020?\nAnswer: 1878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 109 and 4469.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -62 + 57. Sort p, -9, -4 in decreasing order.\nAnswer: -4, p, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90716*j = 91558*j + 43784 for j.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -669720, -1339439, -2009158, -2678877?\nAnswer: -3348596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (350\/(-42))\/(3\/63). Let m = o + 178. Solve 0 = -w + 3*z + 12, m*z + 30 = -5*w - 0*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 410 and 205.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 53925936 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28312 or 311424\/11?\nAnswer: 28312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(8 - (-783)\/(-99))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 440114 - -31?\nAnswer: 440145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*6\/4*8\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1811443 to the nearest integer?\nAnswer: 1346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 600 = 4*m. Calculate the smallest common multiple of m and 20.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2.1. Let r be (1 + (-4)\/3)\/1. Which is the nearest to 1? (a) z (b) r (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 5744145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.28, 6\/13, -3\/2, 2\/9, -5\/4?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08858337 rounded to 5 decimal places?\nAnswer: -0.08858","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 3 + 24*h - 5 - 109*h + 257*h in the form o + b*h and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -125296 and -10.1.\nAnswer: 1265489.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 1973908781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 38659*0.2\nAnswer: 7731.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -864?\nAnswer: -1728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/4))**(4\/15)*k*k\/(k*k**(-3\/4))*k**(2\/13) assuming k is positive.\nAnswer: k**(1537\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, i: 1, x: 5, t: 5, n: 5}. What is prob of picking 2 t and 1 i?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -15437\nAnswer: -15436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 + s**5 + 0*s**5 - 134*s**5 - 2030*s**4 + 2030*s**4 + (17 - 17 - 10*s)*(-s**4 + 2*s**4 + s**4).\nAnswer: -152*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 9*r**3 - 2*r**2 - 2*r. Let h(j) = -26*j**3 + 6*j**2 + 5*j. What is -4*h(s) - 11*q(s)?\nAnswer: 5*s**3 - 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a**4 - 1039*a**3 + 9715*a**2 + 12568*a + 1820 = 0.\nAnswer: -182, -1, -1\/6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 - 221200112?\nAnswer: -221200222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26667, -26706, -26745, -26784, -26823, -26862?\nAnswer: -26901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 874 + 5803. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*p + 22. Let y be (p\/33)\/((-2)\/48). Let j be y\/48*(-1 - (-1 - -1)). What is the nearest to 2\/5 in -12, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318821 (base 9) in base 6?\nAnswer: 4024331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 578\/(-119) + (-249645)\/(-5313) + -42\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + z - 13 - 2*z**3 - z**2 + z**2 to g*z**2 + w*z**3 + o + n*z and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 137. Let f = -140 + r. Put 5, f, 4 in ascending order.\nAnswer: f, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 6*a**2 + 2. Let v = -1 - 4. Let z = -11 - v. What is s(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 590?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -9*x + 3. Let q be ((-4)\/(-8))\/(-3*(-8)\/144). Let p(g) = 80*g - 28. Determine q*p(u) + 28*d(u).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -4, 595, 3, 19 in decreasing order.\nAnswer: 595, 19, 5, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, r: 2, y: 1, t: 1}. What is prob of picking 2 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80*k**2*l**3 - 21*k**2*l + 2*k**2 - 219*k*l - 7120*l**3 - l - 4 wrt l.\nAnswer: -480*k**2*l - 42720*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -0.02, 2\/11, 7?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -10*v**3 - 95*v**2 + 38*v + 339. Give f(-10).\nAnswer: 459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*h**2 - 259*h**2 + 1272*h**2 + (-3 + 6*h + 3)*(-h + 3 - 3) in the form l*h**2 + b*h + m and give l.\nAnswer: 977","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 7*b - 4*b - 16, -2*v + 2 = -4*b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 1:50 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 + 23 = -3*k. Let g = k - 35. Is ((-7)\/g)\/(1\/(-12)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((1 + sqrt(343))*6 + -5 + sqrt(343) + 2 + sqrt(343))*-2)**2.\nAnswer: 1344*sqrt(7) + 87844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*s + 38*s + 300 = 0. Suppose 4*b = 5*b - 10. Calculate the remainder when s is divided by (8\/5)\/(2\/b).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12948.\nAnswer: 2, 3, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 20, 4*j - 29 = 2*j + 5*h for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, o: 2, w: 1, h: 3}. What is prob of picking 1 w and 1 h?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**4 + 20136*q**3 + 100701*q**2 + 80564*q = 0. Calculate q.\nAnswer: -4, -1, 0, 20141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 11. Put 1, o, 3 in decreasing order.\nAnswer: 3, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**3 + 20*m**2 + 6*m - 10. Let p be w(10). Let l be (-174)\/4*8\/(-6). Let f = l - p. Calculate the remainder when 31 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154612919*a + 1487*a**2 - 154612919*a.\nAnswer: 1487*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 4*t**2 - 2*t - 4. Let u be m(2). Suppose v + u = 2. Suppose -2*k - 17 = 5*l, 5*l + 19 = -3*k + 1. Put v, -17, l in descending order.\nAnswer: v, l, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 3, -64, -2.\nAnswer: -64, -4, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34.7 + -34.6. Suppose -5*f + 2 = 2*p, 0 = -0*p + 3*p - 4*f + 20. Which is bigger: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, d: 2, j: 1, n: 3, f: 10, z: 1}. What is prob of sequence nd?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 99, 108, 143, 216, 339, 524, 783?\n\"Answer: 2*z**3 + z**2 - 8*z + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -492 + 492 - 889*t to b*t + k and give b.\nAnswer: -889","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 18*z**2 - 24*z + 3\/4*z**4 - 6*z**3 + 12 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t**3 + 25*t**2 + 135*t + 43. What is the units digit of h(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 6*h**2 + 3 - 1 - 2*h**3 - 4 - 4*h. Is 9 a factor of r(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -947.122 + 947. Sort x, -2, 1, -1 in descending order.\nAnswer: 1, x, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -257 + 174. Let y = -79 - w. Solve a - 2*d + 5 = -5*d, y*a + 20 = d for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**4\/4 + 47*x**3\/4 + 689*x**2\/2 + 2365*x + 3450 = 0. Calculate x.\nAnswer: -10, -2, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77 + -32. Let v = 8091 + -8071. What is the least common multiple of v and r?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**9\/756 - t**5\/40 + 5*t**3\/2 + 13*t**2. Let n(z) be the first derivative of r(z). Find the second derivative of n(l) wrt l.\nAnswer: 80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3733\/442887 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 t when two letters picked without replacement from {t: 2, m: 2, n: 1, g: 3, c: 5, z: 6}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29500 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - -3 - (-8 + 6). Solve -v - 16 = -4*p, -5*v - b = 4*p + 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*f**2*o + 3*f**2 - 3*f*o**2 + 5*f*o + 15088*o**2 with respect to f.\nAnswer: 20*f*o + 6*f - 3*o**2 + 5*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -5. Suppose -2*k - 15 = 3*b - 71, 4*b = k + 93. Let t = -12 + b. What is the least common multiple of j and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/19, 3, -1.004?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.8167 + -2.8167. Sort g, 90.27, 0.4.\nAnswer: 0.4, g, 90.27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c + 4*c - 11*c + 8*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -331*(32\/(-48)*-90)\/((-3)\/2) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*(sqrt(7) + -1) - sqrt(28)\/sqrt(4)*-1) + (1*(sqrt(112)*-1 + sqrt(112)))**2 + 3.\nAnswer: -5 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + 0 + sqrt(245))**2*-4 + (2*(-2 + sqrt(45) + 0 - sqrt(45) - sqrt(45)) + -1)**2.\nAnswer: -875 + 340*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*((-3)\/(-5))\/(3\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*a + 22*a = -p - 10, 3*p + 4*a = -9 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -21*s**2 - 10*s - 271. Let v(r) = -6*r**2 - 4*r - 90. Calculate -3*g(x) + 8*v(x).\nAnswer: 15*x**2 - 2*x + 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**2 - 16*l + 5. Let i be z(5). Suppose 18*p + 2135 = i*p. List the prime factors of p.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -bb (base 12) to base 7\nAnswer: -263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.082 - 5.422. Round y to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 6*a - a. Let c be ((-3)\/a)\/(2\/(-40)). Suppose -4*m - 3 = -c. What is the greatest common factor of m and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence waat when four letters picked without replacement from wwgwgawtgatwt.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 53979407861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 5:16 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -1, 0, -0.0638, 1.25, -0.12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 18. What is the units digit of -10*((6 - 3) + v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -22. Let s(y) = -3*y**2 + 10*y - 4. Let j(b) = -b**2 + 3*b - 1. Let q(d) = m*s(d) + 17*j(d). Suppose -72*t + 65*t + 56 = 0. Determine q(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 1942\nAnswer: -3\/1942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4641291 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from jjjjjjjjyjyyyyyy.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 447771101?\nAnswer: 447771101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + s + 0*s)*(-15 + 31 + 39) + (-3*s + 2*s + 2*s)*(-1 + 5 - 2).\nAnswer: 57*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -175*j - 146. Let b(h) = 32*h + 29. Let m(y) = -11*b(y) - 2*p(y). Calculate m(-18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w - 2. Let p be f(-2). Let r be -1 - p\/(1 - 0). Let b(t) = -1 + t - 16 - 60*t**2 + 18 + 59*t**2. Let z(s) = -2*s**2 - s - 2. Give r*b(d) - z(d).\nAnswer: 3*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 194540, 389079, 583618, 778157?\nAnswer: 972696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*a**3 + 45*a**3 + 731 + 2*a**2 - 2*a**2.\nAnswer: 75*a**3 + 731","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**3\/2 - 8079*i**2\/2 + 2136888*i - 259625574 = 0. Calculate i.\nAnswer: -3161, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 23\/210*x**7 + 0*x**6 + 0*x**5 - x**2 + 17\/8*x**4 + 48 + 0*x**3 + 0*x. Find the second derivative of c(v) wrt v.\nAnswer: 276*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -330 + 490. Let c be (-22)\/5 - 1 - a\/(-400). What is the third smallest value in 3, 3\/28, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182963 is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*y + 829 + 1836 = 530. Calculate the remainder when 22385 is divided by y.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 330194, -7 in increasing order.\nAnswer: -7, -1, 330194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/60 + 6\/(-15).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-737321\nAnswer: -1474642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-5412)\/(-14))\/6 - (-3)\/(-7) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -181*v**4 + 38*v**2 - 706*v + 8.\nAnswer: -2172*v**2 + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v + 3*v + 608*v**3 - 755*v**3.\nAnswer: -147*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/16 and (-1128)\/(-264) + 2\/(-4).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1880 and 300095?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 5*k + 23, -18*k - 2*b = -20*k - 14 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -184, -380, -578, -778?\nAnswer: -980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 5*d + 5. Let k be s(-5). Let j = k + -3. Suppose j*h - 280 = -2*h. What is the greatest common factor of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -9*z - 1720. Let v(i) = -4*i**2 + 1053*i. Give f(v(a)).\nAnswer: 36*a**2 - 9477*a - 1720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 534 - 304. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1637 + 11492\/7. Let k = 8857\/11 - 808. Find the common denominator of k and s.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o = -20*o + 598. Let y = -186 + o. Find the common denominator of y\/(-14) + (-12)\/(-42) and 17\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 1. Let g be t(-5). Let q = g - 4. Suppose -3*j = -0*j - 9, 2*m - q*j = 18. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 206*j**7\/21 - j**4\/12 - 691*j**3\/2 + 10*j**2 - 15. Find the second derivative of i(w) wrt w.\nAnswer: 24720*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 317*w**2 - 161*w**2 - 160*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 14911*t + 52 = 14895*t, -3*h = -4*t - 34 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(15912\/60))\/((-1)\/((-252)\/70))?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 3*d - 117, -3*b - d - 1143 = -1090 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 228 + -225. Solve 4 = u*i - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1329*h - 330*h - 98735 = 747*h + 779*h for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -23*j**3 - 1. Let y be x(1). Let g be y\/(-48) + (-2)\/4. Which is the second biggest value? (a) 4 (b) g (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 390 + 80 = 0. Is (-31)\/d*(-1 + 72) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n + n - 2*n + (3 - 3 + n)*(2 + 2 - 2) + 0*n + 2*n + 2*n)*(3 - 2 - 3) to the form l*n + f and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 277, 256, 1, -530, -1379?\nAnswer: -2588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -11 + -5 + 10 + 64. What is the highest common divisor of 232 and z?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*j*q*x**2 + 2*j*q*x - 220*j*x + 13*q**3 - x**2 wrt q?\nAnswer: 6*j*x**2 + 2*j*x + 39*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 - p + p**2 - 3*p)*(0*p + 3*p - 2*p).\nAnswer: p**3 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**3 - 2*d**2 - 4*d + 4. Calculate the remainder when 32 is divided by f(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 1 - 15)*(0*r**2 + r**2 + r**2).\nAnswer: -46*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lyxwepp. Give prob of picking 2 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 43408067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 8:30 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 4041157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 1264372\nAnswer: -1\/632186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/3)\/v*v*v**(2\/17)\/v)\/(((v*v**0)\/v)\/v)**(-1\/36)*(v**0*v*v)**(-47)*v**(-1\/4)\/(v\/v**5) assuming v is positive.\nAnswer: v**(-27691\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49566 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17, 12, -7, -46, -111, -208?\n\"Answer: -x**3 - x**2 + 5*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -15\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 84 + m + 27\/2*m**2. Differentiate n(o) wrt o.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -424 = 79*c - 7376. Solve c*o - 219 = -923 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.13, 1.\nAnswer: 0.13, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + f + 3*f)*(7*f - 87*f + 12*f)*(1 + 2 - 2) + (5*f - 2*f - f)*(-4 - 2*f + 4).\nAnswer: -72*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248*o**3 - 777*o**3 - 1592*o**3.\nAnswer: -2617*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -209*y - 106. Let q(b) = -b**2 + 17*b - 58. Let x be q(13). Is h(x) a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -553 - -577. Solve -25 + k = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**2. Suppose 3*y + 13 = 31. Let p(v) = 2 + 4 + 3*v - y. What is t(p(j))?\nAnswer: -27*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*y + 54, 2*p - 4*p = 5*y - 48. Let o(k) = k**2 + 7*k + 7. Let w be o(-9). Let u = w + p. What are the prime factors of u?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 - 3*a**2 + 5*a**2)*((-3*a**3 + 5*a**3 - 3*a**3)*(10 + 37 + 6) + a**3 + 6*a**3 - 3*a**3).\nAnswer: -98*a**5 - 98*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + o = -4. Suppose -1 = -2*q + 3. Solve q*g - 10 = -o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1236 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/s**(-3\/2))*s\/(s**(-10\/9)\/s))\/(s**6\/s*s**(-15\/4)) assuming s is positive.\nAnswer: s**(49\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 0.2, 0.5, -6, 1\/125?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n + 21 = 0. Let u = 1 + n. Is 125\/10 - u\/(-4) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 676 a factor of 4215536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (312\/(-18))\/2 - (-1100)\/300?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 5*s + 16, 4*s = 1702*c - 1701*c - 17 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1549?\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 52. Let a = -26 + j. Solve 4*q - a = 3 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001000101011101110111 (base 2) to base 7.\nAnswer: 26146460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*l = l - 8, 4*l + 4 = m. Suppose 65 = m*d + 2*o + o, 52 = 3*d - o. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111001110 - -110010110000?\nAnswer: 1001001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.96 + -0.04. Let g = 3059 - 3056. Which is the smallest value? (a) 3\/2 (b) z (c) g (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -61, -0.2, -0.62, -1\/3, -7\/6?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 912 divided by -76\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 298 = c. Let p = 372 + c. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.08 and -1573.\nAnswer: -1572.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/284 and 25\/17104.\nAnswer: 1214384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-550)\/33 - (3\/9 - 0). Sort r, 5, 35.\nAnswer: r, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67963673991839.46540081 + -67966784077733.4654. Let t = 3110085801 + o. Let s = t + 93. What is s rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jdjld. Give prob of sequence jjdl.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 16) in base 10?\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -1)*(10 - 4). What are the prime factors of 1 + p*(-1 - -3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (100\/(-6))\/(4\/(-12))*-158. What is d rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132 by -6.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24316 = -34*h - 23738 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -4*i + i**3 - 3*i + 4*i + 1. Determine j, given that l(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46 (base 7) to base 10.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*p + 29343 + 77157 = 0. What is the least common multiple of 375 and p?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-2 + 42)\/(-2). Let f(m) = -m**3 + 19*m**2 + 20*m - 1. Let h be f(20). Find the common denominator of 17\/16 and l\/(-240)*89*h.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8060.\nAnswer: 2, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (6 - 16)) + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80744.\nAnswer: 2, 10093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 8*w + 14. Let b(z) = 6*z**2 - 39*z - 70. Let i(p) = -2*b(p) - 11*l(p). Calculate the remainder when 10 is divided by i(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 74 = 6*g. Suppose 10 = -2*p, -2*i + p + p = -18. What is the least common multiple of i and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 20. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1, -17, -55, -127, -245, -421, -667?\n\"Answer: -2*u**3 + u**2 - 5*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 1163*g**2. Let m(j) = 52*j + 1. Calculate c(m(x)).\nAnswer: 3144752*x**2 + 120952*x + 1163","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -42182.019 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9357 is divided by 68.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0162455 millilitres to litres.\nAnswer: 0.0000162455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2117 (base 9) to base 12\nAnswer: a97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/5 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 9605357?\nAnswer: 19210714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -412 + -40341?\nAnswer: -41303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 8*l**3 + 5*l - 10. Let q(a) = -23*a**3 - 14*a + 31. Calculate -17*h(i) - 6*q(i).\nAnswer: 2*i**3 - i - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by (0 - -20)*1\/5*5.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27.6962644 + 27.8423. Let p = 1.576 + -1.43. Let d = v - p. What is d rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*m**5\/3 - 298*m**4 - 3650*m**3\/3 + 7802*m**2 - 4278*m - 2016 = 0. What is m?\nAnswer: -7, -3\/10, 1, 3, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(10)\/sqrt(2) + 4 + sqrt(55)\/(sqrt(44)\/sqrt(4)).\nAnswer: 4 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/((-3885)\/(-296)) + (-2 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 r when two letters picked without replacement from rraarrrr.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (1 + -1 + (-28)\/(-16)). Which is bigger: -3 or z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/127, 29113, 4\/5?\nAnswer: 29113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 503175700 to the power of 1\/3, to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 8*s + 1. Let l be x(3). Let a = 63 - l. Let b be a*1 + 6\/(-3). Calculate the greatest common divisor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y. Let d(q) = -q**2 - 21*q - 1. Let u(j) = 2*j**2 + 105*j - 1215. Let g(n) = 5*d(n) + u(n). Give g(l(b)).\nAnswer: -3*b**2 - 1220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 129.02 - 126.02. Let z be 6\/4*-2*43. Let v be z\/84 + (-4)\/(-14). What is the nearest to -0.2 in o, v, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1)**(1\/6)\/(p**(-2)\/(p\/(p**(-7)\/p*p))))**(-5) assuming p is positive.\nAnswer: p**(-305\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -689, -0.2, 2?\nAnswer: -689","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/11)*l**(2\/7)\/l)**(1\/10)\/(((l*l**(-2)\/l*l)\/l*l**(-6))\/(l**(-5)\/l**(2\/3))) assuming l is positive.\nAnswer: l**(5183\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = -5606*m + 5602*m, -4*j + 5*m + 101 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2\/21, 0.02, 1, 0.04?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5*x**4 - 6*x**3 - 6*x**2 + 5*x. Let u(h) = 9*h**4 + 11*h**3 + 11*h**2 - 10*h. Let v(c) = 6*u(c) + 11*y(c). Find the second derivative of v(d) wrt d.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9657331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -13 - (-102)\/(-20)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*f*q**2*r**2 - 11*f*q**2 - 6218*f*q - f*r**2 - 4*f - 15*q**2*r**2 wrt q?\nAnswer: -52*f*r**2 - 22*f - 30*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 2. Let g be (68\/1)\/(2 + w). Suppose 2*c + 158 - g = 0. What is c rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10552859797\/105312298 + -542325\/5447. Let h = -2\/1381 - j. Let w = 16051\/12 - 1343. What is the common denominator of h and w?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 + 105. Let o be -3*3*a\/(-45). Let q(h) = h**3 - 14*h**2 - 11*h - 21. Is 9 a factor of q(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 + 2*b**3 + 3*b**3)*(0*b**2 + 3*b**2 - 2*b**2) + (4*b**5 - 2*b**5 - b**5)*((-2 + 1 - 2)*(-2 + 4 + 0) - 13 - 4 - 6).\nAnswer: -26*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*z**4 - 205*z + 205*z + (-5*z**2 + 5*z**2 - 2*z**3)*(-4 - z + 4) + 0*z**4 - 6*z**4 + 5*z**4.\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*l**3 + 10*l**3 - 115*l**3.\nAnswer: -92*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i - 2. Let w be a(1). Let g be w\/1 + 5 + 0. Calculate the greatest common divisor of 1 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 37 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4 = -4*t + 4, 0 = 5*d - 20. Suppose -t*h + 27 = 2*o, 5*h + 4 = h. What is the remainder when 25 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4990893 + 9981957 - 4991064 + n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**7\/2520 + z**6\/720 + 41*z**5\/60 - 52*z**2. Let t(n) be the third derivative of l(n). Give t(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -83 - -80. Let f(b) = 3*b**2 + 8*b + 3. Let x be f(h). Find the first derivative of 6*q + 13 - x*q**3 + q - 7*q wrt q.\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-510)\/(-11430))\/(-3*8\/9) and 5\/3937?\nAnswer: 31496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 + 21882*o**2 + 4236309*o + 4214430.\nAnswer: 3*(o + 1)*(o + 198)*(o + 7095)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h + h + 2 + h + 4 - 4 - 2*h + 3 + h - 3 + (0*h + 2*h - 4*h)*(-4 + 1 + 1) + 6*h - 3*h - h.\nAnswer: 10*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 92787385928930 - -1.\nAnswer: 92787385928931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 7*t - 13. Let d be c(-9). Let z(r) = 2*r + 12. Let q be z(-8). Sort q, d, 3 in decreasing order.\nAnswer: d, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 40454, 0, -0.2, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 - 2*l**3 + 3*l - 4*l**2 - 4*l. Suppose 4*m + 2*f = 5*f - 1, 0 = m + 3*f + 4. What is the units digit of k(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1065*x + 304*x + 293*x - 890*x to d + g*x and give g.\nAnswer: -1358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14451351749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -656*v + 20. Let t be j(0). Which is the third smallest value? (a) t (b) 2\/9 (c) 2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1503, 850 in ascending order.\nAnswer: -1503, 4, 850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*u**2 - 528*u + 528*u)*(5 - 3 - 4)*(1 + 3 - 2)*(4 - 3 + 0) + (-1 + 1 - u)*(-4 + 3*u + 4) - 4*u**2 + 5 - 5 as m*u**2 + g + i*u and give m.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92 - 93. Which is the closest to -17? (a) 0 (b) -3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -14. Suppose c - 2*a = 5*c - 58, -c + 10 = -z*a. Suppose -2*q + c + 16 = -4*m, -9 = 3*m. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 4*v + (3*v + 3 - 3)*(607 - 197 + 430).\nAnswer: 2524*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l. Let z(c) = -2*c + 3 - 3*c + 2*c - c. Let u(n) = 17*n - 13. Let f(t) = -6*u(t) - 26*z(t). What is k(f(b))?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 - 71 = -63*q. Let s(b) be the first derivative of -14 + 5\/2*b**q + b. What is s(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/3)\/(2\/9). Let n(x) = x**3 - 4*x**2 - 8*x - 20. Let i be n(l). Determine y, given that 2\/7 - 8\/7*y**3 - 8\/7*y + 12\/7*y**2 + 2\/7*y**i = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1329703945?\nAnswer: 5, 23, 59, 195977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4006 is divided by 1001.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -273136*s**2. Let j(r) = -393*r**2. What is -4*h(y) + 2779*j(y)?\nAnswer: 397*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0.29 (c) -3 (d) 3 (e) 5 (f) 0.65\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 4*y - 32 - 31 - 10 + 18. Let q be n(10). Solve q = -4*s + 5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwxwzzwxkiwkw. What is prob of sequence iw?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -66d - -39e5?\nAnswer: 3378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from iqjqwoqiwwzwzqjwwj?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 54\/12 - (1 - (-19)\/2). Let d(l) = -8*l - 30. Determine d(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 - g**2 + 2*g**4 + g + 0*g**3 - g**3 - 5 as r*g + y + b*g**2 + o*g**3 + u*g**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3 = 3*j - 24, 0 = 5*z - 5*j + 55. Let m be 0 + 5 - ((-12)\/z + 0). Solve -3*r = 2*a - 4 + 26, -m*a = -4*r - 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4896 - 2863. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/4733 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -21 (b) -0.2 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w - 22. Let v(k) = -2*k - 43. What is 6*v(g) - 13*x(g)?\nAnswer: g + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12121790 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 2) + -2 + (-4 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 300738069?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(15)\/(sqrt(5) - sqrt(5)*-4)) + sqrt(9)\/(sqrt(3) + sqrt(3)*-5).\nAnswer: 11*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1225b2 (base 13) to base 11.\nAnswer: -276a13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -9*l**2 + 15212988*l + 3. Let n(t) = -2*t. What is m(n(x))?\nAnswer: -36*x**2 - 30425976*x + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 215899, 432467, 649035, 865603, 1082171?\n\"Answer: 216568*p - 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 608.8136cm to nanometers.\nAnswer: 6088136000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1990 rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*b + 35, 4*z - 4*b = -5*b + 31. Suppose 3*o + 20 + 20 = 5*k, -4*o - 5*k = -5. Put z, o, -2 in decreasing order.\nAnswer: z, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9, i: 7}. What is prob of picking 2 p and 1 i?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 279 - -4?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5909344 is divided by 191.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - -3f524?\nAnswer: 3f52c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 538 divide 30230758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, x: 4}. What is prob of picking 2 x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 1, 16 in increasing order.\nAnswer: 1, 16, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-19) + 12096\/114. What is the third derivative of 96*k**5 + i*k**5 - 197*k**5 - 11*k**2 wrt k?\nAnswer: 300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - 1) + -2 + -204 + 200?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1028421.51626 - 15.\nAnswer: -1028436.51626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7*g**2 - 3*g. Let s(j) be the first derivative of -2*j**3\/3 - 16. Give q(s(a)).\nAnswer: 28*a**4 + 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/(-126))\/((-18)\/63))\/((-4)\/(-48))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -45047.51453 rounded to the nearest 100?\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 29\/(-3) + (-6)\/(-9). Let x = -4 - v. Let z(t) be the second derivative of -t**3\/6 + 3*t**2 + 14*t. Determine z(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -493, -553, -639, -757, -913?\n\"Answer: -s**3 - 7*s**2 - 32*s - 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12687 a factor of 7051574157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7439345.\nAnswer: 5, 53, 67, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/(-4))\/((-1)\/4). Let y(g) = 3*g + 1. List the prime factors of y(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400 is divided by 81.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*d - 82350 = -116*d. Round d to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.5 - 0.5. Let k = 10.6145 - 10.8145. Let g = 1 - 4. Which is the third biggest value? (a) h (b) -0.6 (c) k (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 4. Suppose -3*c + 2 = -y. Let g = -0.3 + 0.4. What is the third biggest value in c, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66601\/330 + 2260\/11. Let n = -80451\/22 + 3658. Calculate the common denominator of r and n.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -11003706.85?\nAnswer: 11003706.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 175*s + 114. Determine k(7).\nAnswer: 1339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6741635 and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25808015 * -0.3.\nAnswer: 7742404.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 49 = -10. Solve 5*w + 5 + 10 = u*m, m = 4*w + 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (185 - 163 - 114)*(1 + 2*v - 1 - 3) as n*v + d and give d.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z**3 + 6*z - 6. Let r(x) = 4*x**3 + 5*x - 5. Let k be (5\/4)\/(1\/4). Give k*v(s) - 6*r(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86582790 and 55510.\nAnswer: 4270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -5. Let f(b) be the second derivative of -b**3\/3 + 3*b**2\/2 + 2*b. What is f(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three tenths of a second?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2551090 and 11458.\nAnswer: 43368530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 4*w - 20. Suppose -w - 28 = -3*h. Suppose -10 = 2*q, 4*p - 3*q + h = 74. Calculate the lowest common multiple of 14 and p.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57358?\nAnswer: 2, 7, 17, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a millisecond in microseconds?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6602 + -92479\/14. What is the common denominator of (0 + 2)*(-324)\/(-128) and b?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -12. Let g = -6 + v. Let f = 1.8 - 2.8. What is the nearest to f in g, 2\/5, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/3*(-21)\/(-14). Let d(j) be the third derivative of -2*j**2 + 0 + 1\/132*j**c - 1\/1155*j**7 + 1\/330*j**5 + 0*j**3 - 1\/660*j**6 + 0*j. Solve d(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32054 and 118019914?\nAnswer: 1298219054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 48 = 199*m - 201*m, 5*m + 4*p = -84. Which is the closest to -3\/31? (a) 2\/9 (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2\/9)*t**(-2))\/(t**(-1))**(-4\/5) assuming t is positive.\nAnswer: t**(-71\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (155*w**2 + 191*w**2 + 32*w - 31*w)*(0 - 1 - 1)*(-2*w + 3*w + 0*w).\nAnswer: -692*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*w + 166 + 128 = 85*w. What is the least common multiple of 802 and w?\nAnswer: 5614","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3620? (a) -1\/72 (b) 5 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 - 3*k + 2. Let g be z(-3). Let c = g - 29. Suppose c = -r - 6 + 5. Which is smaller: r or 2\/67?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 11017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*f + 89*f + 4 - 26*f - 2*f**3 - 32*f - 4*f**2 in the form p*f**2 + c*f + m*f**3 + a and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c. Suppose -2*x + 3 = -1. Let d(j) = 3*j**x + 7*j**2 - 3*j**2 - 11*j**2. Give d(i(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -166*l + 174*l + 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + z = -6, -2*m = 5*z - 2*z - 16 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -15. Let j = n + 0. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izi when three letters picked without replacement from {z: 1, w: 2, v: 1, i: 2, h: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59362?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13737 and 76?\nAnswer: 54948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, z: 9}. What is prob of sequence azz?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52424489 is divided by 43760?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52797\/2 or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-24))\/(((-855)\/(-532))\/(6\/28))\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 457 * -6378\nAnswer: -2914746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000354 to seven dps.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3483.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-6))\/(2\/(-12)). Suppose -20*c + 18*c + 12 = 0. Suppose -m = -c*m. Solve m = -x - g*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422*z + 429*z = 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 9*i**2. Let g(z) = z**2 - 5*z + 8. Let q be g(3). Let a(u) = 0*u**q - u**2 + 5*u**2. Determine o(a(d)).\nAnswer: 144*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 0.5 (c) -40 (d) 2 (e) -4 (f) -0.0025\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (17 + -20 - (-1 + -4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -18615, -2, 193 in increasing order.\nAnswer: -18615, -2, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 3) + (-7 - -19).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-4))\/(55\/110) + 7. Let m(j) = 0 + 1 + 19*j - 2. What are the prime factors of m(n)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + (-2 + sqrt(567) - sqrt(567))*2))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**3\/4 - 123*x**2\/4 + 117*x\/2 = 0. What is x?\nAnswer: 0, 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9800 and 855589?\nAnswer: 171117800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 137 = -3*z, -177 = 2*w + z - 6*z. Let i = -76 - w. Let g(j) = j - 5. Let r be g(9). Solve i = -r*k - 9 - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2222*y**4 - 57*y**2 + 36*y + 88*y**3 - 93*y**2 + 2208*y**4 = 0.\nAnswer: 0, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -328015471*q**3 - 10*q**2 - 9493492*q.\nAnswer: -1968092826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 3 + 3)*(-3*q + 2 - 2) + 1 - 1 - q**2 - q**2 + 2*q**2 + 0*q**2 + (4 + 99*q - 145*q - 8)*(0*q - 3*q + q + (1 - 3 + 1)*(3 - 3 - q)).\nAnswer: 52*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9 + -8 + 400 - 6\/2. Let v = a + -325. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.43 to the nearest integer.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24952 divided by -3305?\nAnswer: -24952\/3305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (17 - 9) + 12 + -1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 3) in base 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/63 of a week in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -5c59881?\nAnswer: 5c5987c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 = 16*b - 55. Let o be (-2)\/(-7) - 326\/b*1. Let d be 2752\/(-1)*(-28750)\/o. Round d to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a meter in millimeters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9199, 9392, 9707, 10144, 10703, 11384?\nAnswer: 12187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -115 - 225280638.786\nAnswer: -225280753.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 622561 (base 7) to base 12.\nAnswer: 5184a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7*j - 5. Let g be z(-4). Suppose -r - 4*s - g = s, 73 = -5*r - 4*s. Let i = 24 + r. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 14*d + 9. Is b(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 4.5. Let d = m + 0. Let v = -2.93 - -3.13. Which is the nearest to -0.2? (a) v (b) d (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -901 + 900.999503. Round k to 5 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/(4\/(16\/(-4))). Let b(y) = -y**2 - 10*y + 23. Let v be b(w). Calculate the greatest common divisor of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 - 17*q**2 - 81*q - 143. What is the lowest common multiple of w(-9) and 145?\nAnswer: 3335","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1744 + 29*d**2 + 127*d**2 - 1736.\nAnswer: 156*d**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -6. Let w(m) = l + 3*m - 7 - 5*m - 1. Determine w(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 12:27 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 724, -5, 2, -16.\nAnswer: -16, -5, 2, 724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.7 + -5. Let q be -2*134\/14*1\/(-34). Let k = 12\/17 - q. Which is the third smallest value? (a) k (b) j (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 24*a + 93. Let d be j(-19). Let w(s) = -10*s**2 - 20*s + 1. Give w(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 22 + -17 + 14?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/12*-18)\/(2*2)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1192370611 from 4.\nAnswer: 1192370615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -811490005*f + 24 + 811490005*f - 15 + 8*f**2.\nAnswer: 8*f**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 101561807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 138\/29005?\nAnswer: 138\/29005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -2521\nAnswer: -17647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6361095 and 74.41?\nAnswer: 6361020.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 5 = -245. Let y = a - 28. Suppose y*j - 66 = -j. Calculate the highest common divisor of j and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 1068*n + 4320.\nAnswer: -3*(n - 360)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -636*s**2 - 12119*s - 81. Calculate i(-19).\nAnswer: 584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 90780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = s + 19, 0 = 5*s + 3*w - 0*w + 71. Let m = -5 - s. Calculate the smallest common multiple of 5 and m.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -17*l**2 + 9*l + 45. Let k(p) = -21*p**2 + 11*p + 45. What is -5*b(u) + 4*k(u)?\nAnswer: u**2 - u - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*a**2 - 5 - 16 + 49 to the form j*a**2 + b + o*a and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - p**3 - 2*p**2 + 0*p + 2*p**3 + 6*p**2 + 5*p = 0 for p.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-52) + (-11)\/((-715)\/(-510)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2. Let j(f) = -302165*f. Give o(j(q)).\nAnswer: 182607374450*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 13) to base 7.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -1099, -4, -2, 1, -5 in increasing order.\nAnswer: -1099, -5, -4, -2, 1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 31*q + 5. Let t be f(31). Let g(n) = -n - 3. Let a(k) = -2*k - 7. Determine t*g(l) - 2*a(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -9, -5 in descending order.\nAnswer: 4, 1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 9*m - 16. Suppose -6 = -5*i + m. What is the smallest common multiple of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-5)\/(2 + -7))\/(1\/41)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3510 and 966160?\nAnswer: 26086320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, e: 1, t: 4}. Give prob of sequence ttr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -708*y - 1404. What is the remainder when 217 is divided by c(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a2 - -5a776?\nAnswer: 5a694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/150*30*(-2)\/(-3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 284564, 1138455, 2561606, 4554017, 7115688, 10246619?\nAnswer: 13946810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -41*w**2 - 6*w - 4. Let b(x) = -8*x**2 - x - 1. What is -11*b(l) + 2*o(l)?\nAnswer: 6*l**2 - l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*l**3 - 12*l**2 - 26*l + 7*l - 39*l**3 in the form t + j*l + v*l**3 + c*l**2 and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61479\/129789 - 49\/304.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -7*p**2 + 6*p - 5. Let w be z(2). Let r = -5 - w. What is the remainder when 38 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6ba + -2?\nAnswer: 6b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 7*j**2 - 71 - 18.\nAnswer: -7*j**2 - 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13914*k**2*z**3 + 165*k**2*z**2 + 9*k**2*z + 2*k*z**2 - 2*k*z wrt z.\nAnswer: -83484*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, k: 3, n: 5, l: 2, g: 3}. What is prob of sequence nl?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 1, 5\/4, -33, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0, -145, 0.06, 1\/6?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 7:00 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 51, 74, 93, 108, 119, 126?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249*230.\nAnswer: 57270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 113\/840 + -1\/105. Let d = 103 + -102.9. Which is the closest to d? (a) z (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4 + (-11)\/(-28). Let f = -1\/7 + g. Suppose 0*s = 4*s. Which is the biggest value? (a) f (b) s (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**3 - 3*v**2 - v + 1. Let w be g(-1). Suppose -i + 53 = f + w*f, 0 = 2*f - 3*i - 17. Solve p - 13 = 3*o - 4, -o - f = 4*p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 9. Let c = -15 + x. Is 9\/c - (-2728)\/28 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.17 and -22.3?\nAnswer: 24.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2\/7 + 5*q - 156\/7 = 0. What is q?\nAnswer: -39, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 113 and 59223.\nAnswer: 6692199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*l, 0 = 2*u - u + l - 2. Let v be 20\/12 + -2 + (-1714)\/6. Let x be 2\/u - v\/33. Solve -5*q + 4*k = x + 24, q + 3*k = 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 152*b + 1212. Determine j(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2 + 22. Let u = r - -7. Let z(b) = -2*b**2. What is z(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**4 + 22*x**3 + 8*x**2 - 10*x = 0.\nAnswer: -5, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -8*g**3\/3 + 502. Let a(z) = -z. Let j(p) = -p. Suppose -d = -1 + 2. Let c(l) = d*a(l) - j(l). What is c(k(o))?\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3168 and 1856.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -49*a**2 + 1430*a - 1428. Calculate w(1).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 9 = 13. Suppose d*t - 4*z = 2508, -1242 = -2*t - z - 0*z. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from exeeareeeeqee. What is prob of picking 2 e, 1 q, and 1 a?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Express -7*d + 17*d - 6*d - 2*d + 594 + 0*d in the form g + t*d and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence plll when four letters picked without replacement from wpwllwpwwwplpplpwp?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**5\/30 + 5*h**4\/12 + h**3 + 5*h**2. Is p(-6) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2*(-2)\/(-10))\/(2\/16810). Suppose -w - 3*g - 2692 = -5*w, 3*g + h = 5*w. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*v + 71 = 0, 2*b = -2*v - 3*v + 39. Suppose -10 = 4*l - b. Which is smaller: l or 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53\/58 - 12\/29. Which is the nearest to x? (a) 0.3 (b) 2 (c) 2\/51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -3*j - 7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -40, -1\/3, -0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-3 - -2)) + (-5 - -11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-4 + -2 - -3) + -6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*y - 9*y - 12730807 + 1866240 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 444 or 412?\nAnswer: 412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -115 + 118. Suppose b + 16 = 4*o - p*b, -5*b + 10 = 5*o. Let i be -1 + (17 - (0 - -1)). What is the highest common factor of i and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/36595958 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.931 + 1.931000564. What is h rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38\/(-114) - 3\/(18\/(-290)) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -180\/17 + 3535\/374. What is the common denominator of 35\/2 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, m: 3, w: 2, c: 1, s: 4}. Give prob of picking 2 w.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.766 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 1:21 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 14*q + 4. Suppose 264*p - 351 - 1990 = -229. Let v(z) = 7*z - 12*z + 1 - 2. Give p*v(t) + 3*o(t).\nAnswer: 2*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4080409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (159 - 125 + 139)*(0*z + 5*z - 3*z).\nAnswer: 346*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -9. Let x be (n - 0)*6\/(-6). Let c be (0 + -2)*x\/10. Which is bigger: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*d + 5 + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*y**4 - 4*y**4 + 2*y**4 + (-1728*y**3 - 97649*y + 97649*y)*(0*y - 3*y + 5*y) to h*y**4 + x*y + t*y**3 + p + u*y**2 and give h.\nAnswer: -3464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 345 (base 8) to base 12.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(16))\/sqrt(8)*3 - (-4 + 6*(1*sqrt(2) - sqrt(2)))**2.\nAnswer: -16 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**4 - 198*p**3 + 3084*p**2 + 198*p - 3081 = 0. Calculate p.\nAnswer: -79, -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7270, -14648, -22026?\nAnswer: -29404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpwjpjh. What is prob of sequence zj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19, 47, 91, 151, 227, 319, 427?\n\"Answer: 8*t**2 + 4*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/27*20)\/(((-4)\/3)\/2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**3 - 2*i**2 - 2*i + 2. Let n(c) = c**2 + c - 1. Let w be 0 - (-2)\/4*2. Determine w*t(u) + 2*n(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010069 to four decimal places.\nAnswer: -0.0101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/3 + 45984\/18. Suppose 0 = 23*i + 24 - 116. Is (1 + 1)\/(i\/k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100112 (base 3) in base 10?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 1\/60*g**5 - 1\/24*g**4 + 0 - 1\/6*g**3 - 47*g**2 + 1\/120*g**6 + g. Factor t(y).\nAnswer: (y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/174)\/(((-5)\/8)\/(165\/(-44)))\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -15. Let c(j) = 1 + 2*j + 6 - a. Is c(9) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.03 (b) 3 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**2\/2 - 4*y - 7. Let u be p(-6). Let i be u - (1 - -3) - -24. Calculate the highest common divisor of i and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -25. What are the prime factors of ((-3)\/h)\/((2\/(-204))\/(-1))?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10448 is divided by 48?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 > 0.1243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 0*w**2 + 3*w**2)*(3*w**3 - 2*w**3 + 0*w**3 + (5 + 1 - 5)*(-4*w**3 - 2*w**2 - 9 + 9)).\nAnswer: -12*w**5 - 8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 + 54. Put -0.1, m, 1\/7 in increasing order.\nAnswer: m, -0.1, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 11:50 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37625.99872 + 37633. Let l = -28 - -35. Let b = h - l. Round b to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 23.51133 years?\nAnswer: 0.02351133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 9. Suppose 0 = 5*m - o*k + k - 945, 3*k - 15 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*n**2 + 218*n**2 - 1430143*n**3 - 440*n**2.\nAnswer: -1430143*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(20\/(-75))*(-1728)\/(-720)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -158.3 and -528723121652?\nAnswer: 528723121493.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77306 is divided by 19326.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h - 11. Let l be k(6). Let f be (-39)\/12*l*-4. Do 13 and f have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -15 (c) -0.4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1122076 and 868?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21035382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2244515371 and -0.3?\nAnswer: 2244515370.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11538097 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.5 (b) -9\/4 (c) -0.1 (d) -2\/7 (e) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-1)\/(6\/4). Suppose -v = -2*v - 5, r*m - 4*v = 30. Factor -1\/4 - 1\/4*q**4 + 1\/2*q**2 + 1\/4*q**m + 1\/4*q - 1\/2*q**3.\nAnswer: (q - 1)**3*(q + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 1:43 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -129700.39 or 2\/7?\nAnswer: -129700.39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5988*z. Let i(v) = -4*v**2. Give d(i(y)).\nAnswer: 23952*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 993 divided by 331.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 5. Suppose 1 = -4*o + p + 40, -p = 3*o - 24. Let x be f(o). Suppose 4*n + x*m = -0*n + 96, -5*m - 55 = -2*n. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g**2. Let v(w) = -w**2 - w + 1. Let o be (2\/6)\/((-4)\/24). Let f(m) = -2*m**2 - m + 1. Let u(b) = o*f(b) + 2*v(b). Determine u(s(q)).\nAnswer: 50*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 156 - 186 = 5*b, 5*i + 2*b + 18 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 1 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 8*n**2 - n + 1. Give p(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**3 - 2 + 2 + 3*v**3 - 2*v**3 - 2*v**3 + 4*v**2 - 2*v**3 - 4*v**2 + (-2*v**2 + 2*v**2 - 2*v**2)*(4 + 2*v - 4) - 4*v**3 + 9*v**3 - 8*v**3 + 2*v**2.\nAnswer: -9*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-3\/4))**(-7)\/(o\/o**(1\/17)*o**(5\/7)\/o) assuming o is positive.\nAnswer: o**(-6143\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand i - 1 + 0*i + 0*i - i + 4*i - 4*i + (1 + 0 + 0)*(2*i - i - 7*i).\nAnswer: -6*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 12:14 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2*w = 0. Let x(y) be the first derivative of -y**3\/3 - y**2\/2 - 10*y + 6. Calculate x(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -33687, 5\/2, 1, 5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 25*f + 73. What is y(-22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -24278, -24302, -24372, -24512, -24746, -25098, -25592, -26252?\n\"Answer: -4*m**3 + m**2 + m - 24276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/122 and 47\/6763802.\nAnswer: 6763802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 + 4*h + 1. Let v(b) = b + 3*b - 5*b. Calculate the remainder when o(-4) is divided by v(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g + 1 + 20*g**2 - 1 + 3*g + 4*g**4 + 35*g**2 in the form u + o*g**3 + i*g + y*g**4 + p*g**2 and give p.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1cc (base 13) to base 16\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 times -39\nAnswer: -3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u, 0 = a + 25*u - 27*u - 17855. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 7*z + 8. Let p(k) = -k - 1. Let s(a) = 6*p(a) + u(a). Let h(t) = 29*t - 5*t - 17*t - 6*t. Calculate h(x) + s(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 8*u**2 + 151*u + 608. Calculate l(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-4))**(5\/2))**25*(s**(-4)\/(s*(s\/(s*(s*s*s**(-3))\/s*s))\/s))\/(s**(-5)\/(s*s\/s**(8\/7))) assuming s is positive.\nAnswer: s**(-2613\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 8, 27, -2, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 + 29. Let q = d + 24. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -6*z. Let v be u(-5). Is 1\/6 + 265\/v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -948\/23045 - -2\/419. Which is the nearest to y? (a) 2\/13 (b) -4 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l + 4*l**2 - 3*l**3 + 5*l - 2*l as x*l + u*l**2 + a + m*l**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163 - 14 = -22*w - 115 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 20*p**2 + 1454*p - 88031. Determine h(-112).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(275) + -1 - sqrt(275)) + sqrt(275) + sqrt(275)*1*2)**2 - (1*sqrt(99) + -2 + -2)**2.\nAnswer: -66*sqrt(11) + 2369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/18)\/((-4)\/(-192)*-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -113*z**3 + 114*z**3 - 45*z**2 - 8 - 31*z**2 + 15 + 5*z + z**4 as t*z**4 + l*z**2 + m + n*z + g*z**3 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a - 4. Let p be y(6). Suppose h - 16 = -4*b, -3*h - b + p = -13. Let w be h\/(-6) - (-8)\/3. Let x(k) = -k**3 - 2*k + 2. Determine x(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/10)*y**(4\/5)*(y*y\/(y\/(y**(1\/53)\/y))*y)**35)**(-45) assuming y is positive.\nAnswer: y**(-172485\/106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 137\/258 + -4\/129. Which is the closest to 2\/3? (a) -1\/6 (b) v (c) 19\/5 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4650 and 2593191?\nAnswer: 4019446050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -131 + 131.5. Let u = -20 + 8. Let p = u - -16. What is the closest to -3\/4 in o, p, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 11:39 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqoqiqqooouq. What is prob of picking 3 o and 1 i?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -847*t + 262 = -716*t. Suppose -b - 40 = -6*b + 4*u, 5*b - 45 = 5*u. Solve -4*q - 3*g + 24 = t*g, -4*g + 20 = b*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/8 of a hour?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3990 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-1)*p)*p)\/((p*p*p**6)\/p))\/((p\/(p**(-5\/6)\/p))\/(p\/(p*p**(-5)))) assuming p is positive.\nAnswer: p**(-23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14167452 and 1928.\nAnswer: 6828711864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.08 (b) 180\/17 (c) 60 (d) 2 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33*12\/(-2970)*45\/102.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.3, -0.5, 1\/2, -259 in ascending order.\nAnswer: -259, -0.5, -0.3, 0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 261394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-660 + 660 + 56*l)*(-2*l + 0*l + 3*l) to x*l + t*l**2 + o and give t.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 1075?\nAnswer: -2150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or -67\/6?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -12*y. Let d(k) = 2*k. Let m(s) = 2*s. Let u(a) = 6*d(a) - 5*m(a). Determine u(z(q)).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -26*a**3 - 12*a**2 - 19*a - 28. Let w be q(-16). Round w to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-7))\/(3\/7*(-26)\/(-936)*84)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24\/9)\/4)\/((-842)\/31575)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*p - 3*l = -1, 4*p - 1 = 5*l. Suppose -5*a + b = -p*b + 25, 0 = -5*b + 25. Suppose -2*x + a*x = -6. Solve -12 = u + x*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 152\/25, 0.5, 2, 0.2, -2, 89 in ascending order.\nAnswer: -2, 0.2, 0.5, 2, 5, 152\/25, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 12:45 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 117 + -111. Suppose 0 = -t + o*m - 3*m - 24600012, -5*t = -5*m + 123000020. Round t to the nearest 1000000.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -x**3\/3 + 11*x**2 - 45*x + 21. Suppose -i = -16 - 2. Is 14 a factor of r(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -23739*u**2. Let w(x) = 2*x**2. Give p(w(t)).\nAnswer: -94956*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c + 70*c**2 - 5*c**5 - 70*c**2 wrt c?\nAnswer: -100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 3*d**2 + 5*d + 7. Suppose 0 = 4*x - 4, 2*x + 3*x - 9 = c. Let z be b(c). Let y = z - -48. What are the prime factors of y?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1078) - 1*sqrt(1078) - sqrt(22))\/(2*sqrt(2)*-4) + 1.\nAnswer: sqrt(11)\/8 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - f)*(-3*f - 6*f**3 - 2 + 3*f).\nAnswer: 6*f**4 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -92\/45 and 1\/5989510.\nAnswer: 53905590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*j**2*t**2 - 2*j**2*t - 4*j*t + 11*t**2 + 5*t with respect to j.\nAnswer: -18*j*t**2 - 4*j*t - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(2\/((-2)\/(-3)) + -2). Let h(g) = -g + 5. Let p be h(y). Suppose -7*j + 16 = -p. Solve -w - 12 = -j*u, w = -w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11275 and 275?\nAnswer: 11275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9 - 7 - (-3 + 2). Let t = -3 + 9. Let b = t + 3. Solve 0*j + b = -v*z + 3*j, -4*z - 3*j = 26 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -6, -2, 1, -4, -14 in descending order.\nAnswer: 10, 1, -2, -4, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**1\/z))**(1\/41))**14 assuming z is positive.\nAnswer: z**(14\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 7*s**2 + 9*s. Let d be z(-4). Let f = d + -12. Solve f = 4*h - 9*h + 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 6. Let d = 7.5 - m. Let f = 1 + -1.4. Which is the third smallest value? (a) d (b) -1\/7 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2.53, 0, 1\/6, -13\/4 in decreasing order.\nAnswer: 4, 1\/6, 0, -2.53, -13\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*i = 26*i + 37*i - 81. What is the biggest value in -0.4, -0.1, -1, -4\/5, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*o - 2*o + 6*o)*(3 - 2 - 2) - o + 3 - 3 + 3 - 8*o - 3)*(2*o**4 + 8*o**4 - o**4).\nAnswer: -90*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 5*t + 2782, 0 = 3*v - 8*v - 3*t + 6986. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.064 + 5.136. Let p = l + -5. Let i = 8 + -3. Put i, p, -2\/3 in ascending order.\nAnswer: -2\/3, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 a when three letters picked without replacement from aamrmrrmrmamrrm.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*c**3 + 1 + 0*c**3 - 3 - 2*c**4 - 59*c - 5*c**3 in the form w*c**2 + a*c + y + l*c**4 + q*c**3 and give a.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4490, -4491, -4492, -4493?\n\"Answer: -y - 4489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16874 divided by -2.\nAnswer: -8437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7*q + 907. Let u be (-1 - -1)\/((-6)\/(-4 + 1)). Is g(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*a + 160*a**2 - 172*a - 158*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 4*m + 16 - 176, 258 = 5*z - 2*m. Solve -z*q = -53*q - 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -373*c - 1087. Let m be d(-3). Calculate the highest common divisor of 4912 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l - 2*u - 6 = 0, 2*l - 5*u + 12 = 0. What is the units digit of 315*(54\/(-15))\/l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28374 divided by 5\nAnswer: 28374\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156348560 divided by -39087140.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/195 and 17\/9.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -33. Suppose 0 = -7*i + 12*i + a. Sort 4\/7, i, -5 in ascending order.\nAnswer: -5, i, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 108 (b) -5 (c) -15 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 111354 and 3752?\nAnswer: 3117912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 p, and 2 h when four letters picked without replacement from {y: 7, p: 1, h: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.01 (c) -5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - x + 158. Suppose 5 = 8*p + 5. Let h be j(p). Suppose u = -3*g + h, -2*g - 2*u + 46 = -g. What is the least common multiple of 10 and g?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162695 less than -0.2?\nAnswer: -162695.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1520 and 1710.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 2*w - 2*j + 12, -2*w + 3*j = -7. Let p(u) = -9*u**2 + w*u**2 + 6*u**2. Let o(t) be the third derivative of t**5\/30 - t**2. Determine p(o(f)).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8859.126 kilometers?\nAnswer: 8859126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 225.2533kg to grams.\nAnswer: 225253.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 + -1.8. Let a = -0.53 + 0.03. Let t be (-4*7\/(-84))\/(256\/192). What is the biggest value in u, a, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233009065?\nAnswer: 5, 19, 73, 33599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.6184l in millilitres?\nAnswer: 39618.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-9)*135\/(-18). Is 3 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 1. Let o(z) = 12*z**2 - 5*z - 6. What is -6*f(r) + o(r)?\nAnswer: 6*r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**3 - 401 - 3842 + 0*m**2 + m**2 + 2*m**2 to the form v + i*m**2 + p*m + w*m**3 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*p**5 - 3*p**2 + p**5 + 0*p**5 wrt p?\nAnswer: -660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6934620 a multiple of 836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 745 + -743. Let d be 16\/6 - 1\/(-3). Which is the biggest value? (a) d (b) 1\/2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070490951 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -5. Let d(z) = z + n*z - 7*z + 4*z. Let x(j) = 3*j. Calculate x(d(r)).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 250 and 950?\nAnswer: 4750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 7)*(-1 + 1 + z)*(-22 + 9 - 14).\nAnswer: 54*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 = 3*q + 55*h - 52*h, -11*h + 166 = 3*q - 6*h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11\/33)\/((-1)\/(-15)). Calculate the smallest common multiple of 25 and ((-6)\/(-2))\/(b - (-22)\/(-5)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6105188956 - -0.2.\nAnswer: -6105188955.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 61120 and 38200?\nAnswer: 305600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(1254\/(-12)) + 21115\/(-779).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (12 + -9 - (-1 + 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -14707 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 20 + 20. Let i = 78 - 73. Calculate the greatest common factor of n and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 4693 (b) -3 (c) -2\/13 (d) 5 (e) 38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -27, -59, -113, -201, -335?\n\"Answer: -2*z**3 + z**2 - 21*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 9:07 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-5))\/i)**(1\/15)*i**(-2\/9)*i\/(i**(-4)*i)*i assuming i is positive.\nAnswer: i**(46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0251 + -0.5209. Let f = 0.55 + c. Round f to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64423\/4 + -16105. Let n = -258\/7 - -240\/7. What is the common denominator of n and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, 0.23, 6\/7, 1\/2, -1, 0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232030013 (base 4) in base 16?\nAnswer: 6e307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 64*i - 63*i + 52 = 0, 15*d + 0*i + 5*i = -195 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 19*f**2 - 31*f - 3. Calculate k(-16).\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 982\/(-6) - (-2)\/3. Let x = 210 + i. Solve b + 44 = x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38119781 or 38119779?\nAnswer: 38119781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from oooccccc.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 + 85. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/23 (b) 0.2 (c) -4782\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.445 - -0.145. What is the fourth biggest value in -5, -3\/7, 2, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k - 126. Let v be c(25). Does 66 divide ((-208)\/40)\/((v - -2)\/(-165))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l + 1133. Let k(h) = -6*h + 2257. Give -2*k(c) + 5*r(c).\nAnswer: 2*c + 1151","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.187, -0.05, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 329.\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, k: 7}. What is prob of sequence kkke?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67222?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*i = 30 - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvv. What is prob of sequence vvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-3)*8\/(-14)*36\/8?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1350*v - 45 = -1355*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 957*y**4 + 67*y**2 - 3*y wrt y.\nAnswer: 22968*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1841*z**2 - 32 - 868*z**2 - 920*z**2 - 6 as y*z**2 + c*z + h and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 258405.946 to the nearest ten.\nAnswer: 258410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-213)\/24 + 1 - 42\/336.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 3. Let t be m(0). Let s(g) = g**3 - 4*g**2 + 3*g - 1. Let z be s(t). Is z at least 3\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5301312.\nAnswer: 2, 3, 27611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 + 3 - 40\/5. Solve 333*q - 337*q = w for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 913 and 11474086.\nAnswer: 126214946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34 * 58.371.\nAnswer: -1984.614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16370394, -16370384, -16370360, -16370316, -16370246, -16370144, -16370004, -16369820?\nAnswer: -16369586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101443983?\nAnswer: 3, 19, 167, 10657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -5*p - 2*w - 47, 8 = 3*p + 4*w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -201 - -257 - (5 - -28).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7051 is divided by 104.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l**3 + l**2 - l. Let o be z(1). Let p be 0*1\/(o\/6*3). Let s be 2\/4 + (-6)\/(-4). Which is smaller: s or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*s - 5 + 28 = -237 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 36 = 5*z, 0 = -3*z - h + 4*h + 27. Calculate the least common multiple of z and 45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 450 and 25400.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 321, 642, 963, 1284, 1605, 1926?\nAnswer: 2247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 363*i**2 - 7*i + 5. Let q(h) = 545*h**2 - 10*h + 7. Calculate -5*q(o) + 7*u(o).\nAnswer: -184*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -21*d**3 - 314*d**2 - 106. Determine c(-15).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -480, -1567, -3662, -7101, -12220, -19355, -28842?\nAnswer: -41017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-13)\/(-13))\/((-1)\/(-2)). Solve -4 = -j*x - 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*n + 16 + 140. Let j be (-8)\/((-6)\/(-10) + n\/13). Let g(w) = 2*w**2 + 3*w + 3. Let b be g(-2). Calculate the greatest common divisor of b and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6\/31 - 1685\/9827. Calculate the common denominator of 2\/13 and q.\nAnswer: 4121","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/8 (b) 0.1 (c) -8 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -2. Suppose -5*t - 10 = -5*g, -3*t + m*t + 1 = 2*g. Suppose k**3 - 5*k**g - k**2 - 4*k**4 + 0*k**2 = 0. What is k?\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*m - 2*m**2 + 2 + 13*m + 0*m**2 as l + d*m + b*m**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-4 - 1) + (6 - 14 - (0 - 5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 11*r - 10. Let t(c) = 20*c - 5 + 15*c - 30*c. Calculate 3*o(n) - 7*t(n).\nAnswer: -2*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2427052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -45290778, -45290785, -45290806, -45290847, -45290914, -45291013?\n\"Answer: -d**3 - d**2 + 3*d - 45290779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 726\/19 (b) -1\/5 (c) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -5, -113, -281, 5 in ascending order.\nAnswer: -281, -113, -7, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**3 + j**2 + 3*j + 2. Calculate q(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33 or 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*h + 2618 = 1708 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -562 + 567. Solve w = -j - 1, 2 - 7 = -o*j for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 896030760 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4452*l + 668 = -3784*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 + 48*w**2 + 0.\nAnswer: 48*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -128 (b) -1\/4 (c) 2 (d) -1\/3 (e) 5 (f) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(168\/(-9))*(-4)\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -8*k. Let r(v) be the first derivative of 5*v**3\/3 + 2*v - 190. Calculate r(g(x)).\nAnswer: 320*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 6:03 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30647.85 - -685.85. Let f = g - -29960.90036. Let z = f + 1.1. What is z rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 27 = -4*w, 4*w - 18 = 2*i + 2*w. Let f be i\/26 - (300\/(-78) + 4). Which is smaller: -5.8 or f?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1241 is divided by 119?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -473400, -473395, -473390?\n\"Answer: 5*l - 473405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -18*m - 49. What is x(-12)?\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/8041 and 95\/2934406.\nAnswer: 548733922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/2)\/((1120\/(-24))\/14)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5))**(2\/65)*y*y*y**17*y*y**(-21\/5)*y assuming y is positive.\nAnswer: y**(1082\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**2 - 22*u + 21. Let i(w) = w**2 - 7*w + 7. Let a(d) = 8*i(d) - 3*t(d). What are the prime factors of a(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121894760103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w. Let l(a) be the third derivative of 11*a**4\/8 - a**3\/6 - 3*a**2 + 2. Determine f(l(r)).\nAnswer: -99*r + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 + -1 + 3 - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + (-196 + 192 - (-11 - (2 - 3))).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -10*x + 38. Suppose 1211 = 625*j - 1289. Give v(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9580 and 3832?\nAnswer: 19160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zsz. What is prob of picking 2 z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 32622 = -3*r, 11*r - 2*x + 10869 = 12*r. What are the prime factors of r?\nAnswer: 11, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from fftfffffofeoffofo?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sssz when four letters picked without replacement from sssssszs.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 - 227804*u**2 - 3243074668*u + 9731274348.\nAnswer: -4*(u - 3)*(u + 28477)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzlf when four letters picked without replacement from {w: 1, f: 7, z: 2, l: 1, g: 4, n: 3}.\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 405323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - v + 28. Let z(n) = 2*n**2 + 11*n + 4. What is the units digit of z(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x**2 + x**2 + 2*x**2 + (3*x - 3*x - x)*(0 + 0 + 3*x) + (3*x**2 - 5*x**2 + x**2)*(51 + 11 + 18) to u*x + s*x**2 + z and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 131287, 131284, 131267, 131230, 131167, 131072?\n\"Answer: -r**3 - r**2 + 7*r + 131282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, u: 3, m: 1, a: 1, b: 6}. Give prob of picking 1 a and 1 s.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*f, -3*f = -4*l + 51 - 31 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from qqiiiyiiqqyqiyiiqyqq?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(1 + -2) + -7. Let p(y) = 2*y**2 + 1474*y + 18797. Let g be p(-13). Sort 5, g, -5, a in descending order.\nAnswer: 5, -5, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30110 (base 5) to base 16.\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18\/5? (a) -0.4 (b) 0.4 (c) 4 (d) 64 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -26*p**2 - 5473*p + 5464. Determine l(1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 6 = -m - 4*k + 1, 0 = 4*k + 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y - 2*y + 2*y**2 + y**2 + 2*y**2 - 2*y**2 + (2*y**2 + 0*y**2 + 0*y**2)*(1 + 5 - 4) + 1 - 1 - y**2 - 4*y**2 + 5*y**2 - 2*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 17*j + 69 = -20*j, 11*j + 96*j = 12*j - 475 for h.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 37. Calculate the remainder when p(12) is divided by (13 - 2)\/1 - -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, c: 4, q: 5}. Give prob of picking 4 c.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a day in minutes?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 3*p**6\/10 - 5*p**4\/12 + 16*p. Find the third derivative of b(a) wrt a.\nAnswer: 216*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -167 take away -5?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5359 times 0.5?\nAnswer: -2679.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -7*i - 30. List the prime factors of x(-12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, n: 8, q: 3, h: 6, a: 1}. What is prob of sequence hqqn?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.35648172 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/539 and 19\/343.\nAnswer: 3773","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j - 8. Let o be h(5). Solve 0 = -5*f + d + 3*d + 17, d - o = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j + 15. Let z be g(6). Suppose -4*m = 5*a, -8 = -z*a + m + 9. Solve a + 6 = 5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -1 (c) 48 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -13*w**4\/24 - 2*w**2. Let n(i) = 5*i**2 - 1 - 8*i**2 + 1 + 2*i**2. Give n(d(z)).\nAnswer: -169*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -67, -151, -309, -565?\nAnswer: -943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1899*z = -1897*z - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2 + 8*v + 12. Let k be 4\/3*((-6 - -4) + 5) + 1. Give q(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3 + 0*t + 1 + t**2 + 5*t. Is w(-6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -57\/7? (a) 0 (b) 5 (c) 1.38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1515 (b) 0.06 (c) -1\/3 (d) -6 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -2 + (7 - (-6 + 13))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 168\/23, 1\/3, -3\/2, 2, -2 in increasing order.\nAnswer: -2, -3\/2, 1\/3, 2, 168\/23, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -432 - -427.82. Let d = 3.8 + v. Let s = d - -2.38. Which is the nearest to 0.1? (a) -0.4 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r*r**16)\/r)*r)\/r**(-24))**20 assuming r is positive.\nAnswer: r**200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 8*f + 1\/16*f**4 + 0*f**2 + 1\/80*f**5 + 0 + 1\/12*f**3. Factor w(h).\nAnswer: h*(h + 1)*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7527975 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -b - 1, -4 = b - 5*z - 17. Suppose -v = -4*g + 12 + 4, -v = b*g - 19. Suppose 3*n = -x + g, 3*x = x + 3*n + 55. Solve 0 = y + 4*y + x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/21 + (-37)\/(-7). Solve z*o = -18 - 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 17 (b) 1\/5 (c) 0.3 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from uuuekeh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13 + -0.0461.\nAnswer: 0.0839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**4 + 90510*o**3 - 709023891*o**2 + 397523178360*o - 57869940675888 = 0.\nAnswer: 297, 14788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*b - 2. Let n(u) = 1 + 4*u + 0 - 2*u. Let z(f) = 10*f + 6. Give b*z(l) - 11*n(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -2, -526, 1, -12, 4, -4.\nAnswer: -526, -12, -4, -2, 1, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -1. Let m(o) = -46*o + 95. Let y be m(-17). Let j = y - 882. Sort j, t, -9 in increasing order.\nAnswer: -9, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*s = 45*s + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53490?\nAnswer: 2, 3, 5, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -19 (c) 3\/4 (d) 0 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3061, 6014, 8945, 11842, 14693, 17486, 20209?\nAnswer: 22850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 72. Let j be i(0). Let u = 3000 + -2997. Let o be j\/27*u\/2. Let k(w) = w**2 + 4*w - 1. Give k(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122148250?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**2 - 11856*f = 0 for f.\nAnswer: -2964, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110370 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8\/49, -0.1.\nAnswer: -8\/49, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 288 + -271. Suppose 0 = -8*d - h*d + 350. Calculate the remainder when 67 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**8)**(-2)\/(y\/y**28*y*y**20) assuming y is positive.\nAnswer: y**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -124706 + 299967. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 * -115086.\nAnswer: -2531892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -23588800 to the nearest one million.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 4*l = -60, 17*u - 3125 = 22*u + 605*l for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(451 + 29*p - 226 - 230) + (-2 - 1 + 0)*(5*p + p - 5*p) + 2*p + 0 + 0 - 4 + 3*p + 4 + (0 + 1 + 0)*(0 - p + 0).\nAnswer: -28*p + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -20759214076005?\nAnswer: 20759214076000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 16693.48 decades?\nAnswer: 166.9348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 53 (b) -0.54 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.13 + -0.07. Let y = -3.06 + h. Let w(g) = g. Let n be w(5). What is the closest to -2 in y, n, -1\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 14*l**2 - l - 10. Determine v(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 36. Suppose -4*w + 33 = 13. Suppose 2*f - w*r - 1881 = 0, -4*f - d*r + 3744 = -7*r. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (49 - 38*t + 46 - 96)*(-2 + 2 - 1) to the form p*t + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 3 = -3*z - 5*b, 3*z - 7 = -b. Let q be ((-68)\/(-20) + -1)*(-10)\/4. What is the nearest to q in -5, z, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 60, 75?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 16) in base 2?\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1460580 divided by 6?\nAnswer: 243430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.1 - -2. Let y be ((-1)\/(-4) + 182\/104)\/(260\/(-286)). Which is the nearest to y? (a) 4 (b) 0.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 896 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, v: 5, o: 4, k: 1}. Give prob of picking 2 o and 1 i.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**4\/3 - 238*x**3\/9 + 1591*x**2\/9 - 56*x = 0.\nAnswer: 0, 1\/3, 7, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(15\/(-2)))\/(12\/(-20))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, s: 8}. What is prob of sequence ssss?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/22355298 and 37\/33532947.\nAnswer: 67065894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7*b. Let o be c(1). Let h = 2 + o. Which is smaller: -4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5169292000 to the nearest one million.\nAnswer: 5169000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 5*b**2 - 2*b**2)*(0*b + 3*b - 5*b) - 2*b - 7*b + 2*b**3 + 4*b.\nAnswer: -2*b**3 - 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 110 - -34?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -16360 divided by -8180?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -895, -1793, -2691, -3589?\nAnswer: -4487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41 or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 65 (b) 2 (c) 3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 485092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.42 - 1.58. Let z be 62\/(-70) + (-4)\/(-14). Let b = -0.4 - -0.3. What is the nearest to b in z, c, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/20 and -17\/163810?\nAnswer: 327620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = -2*r + 109 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*a**2 + 12*a - 26*a + 10*a - 166 + 6*a wrt a?\nAnswer: 24*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/9)\/a**16)\/((a*a\/a**(1\/11)*a)\/a)**(3\/8) assuming a is positive.\nAnswer: a**(-13327\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b7f2 + 3?\nAnswer: 1b7f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + -7 - (362 + -510).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (366462\/(-75))\/(8\/890). Let w = 542998 + k. Let a = w + 2907\/5. What is the common denominator of a and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53195 (base 14) to base 6.\nAnswer: 4144515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 75406.92ms in microseconds?\nAnswer: 75406920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 6, f + 0*h = -3*h + 11. Let g be ((-7 + 2)*(-80)\/15)\/((-1)\/(-3)). Calculate the greatest common divisor of g and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.6 (b) -1\/7 (c) -0.5 (d) 0.18 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*r + 243*r = 2970. Suppose f = -3*c + 45, 8*f + c = 3*f + 155. Calculate the greatest common divisor of f and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 335*i**4 + 6*i**3 + 2135*i.\nAnswer: 4020*i**2 + 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 - 1365*a + 4104.\nAnswer: -(a - 3)*(a + 1368)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11064, 44263, 99594, 177057, 276652, 398379, 542238?\nAnswer: 708229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 109 in 6, 10, -0.5, 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: f10b6 (base 16) to base 3\nAnswer: 1212011100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(21\/4)*c))\/((c\/c**(-20\/3))\/c))\/((c*c*c**10\/c*c*c*c*c)\/c)**(1\/19))**(-23) assuming c is positive.\nAnswer: c**(66355\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/17700 and -121\/12390.\nAnswer: 123900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 52*f**4 - 9*f**4 - 9*f**4 + (3*f - 3*f - f**2)*(-f**2 - f**2 + f**2) + 2*f**4 - f**2 + f**2.\nAnswer: 37*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**4\/3 + 2594*k**3\/3 - 1655969*k**2\/3 - 34164980*k\/3 = 0. What is k?\nAnswer: -20, 0, 1307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/16)\/(0 + 3\/(-1416)). What are the prime factors of (-3 - -4)\/((-3)\/g)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q + 231 - 231.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -210 divided by -9.\nAnswer: 70\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**3 - y**2 - y - 1. Suppose -c + 7 = 4*z - 5, 3*z = -2*c + 14. Determine d(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -332032 (base 5) to base 2.\nAnswer: -10110011111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -13) + -6 + -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3907437926?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7510360 is divided by 18590.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13594252481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4 + 478\/120). Let w = a - -165. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.00745 * 0.05355.\nAnswer: 0.0003989475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2409 divided by 803.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2601429 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d + 3. Suppose 8 = -3*m + 5*m. Let y(v) = 5*v + 3. Let r(n) = m*y(n) - 5*c(n). Is r(-7) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -312930.9963 - -312987. Let f = -56 + i. What is f rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 4*z - 4*z)*(3*z**2 + z**2 - 3*z**2) - 1 - z**3 + 1 - 6*z**3 + 3*z**3 + 5*z**3 + (5 - 3 + 0)*(-2*z**2 + 2*z**3 + 2*z**2) - 75 + 11*z**3 + 75.\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000269863 rounded to six dps?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6701*x = 6445*x + 4864 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.54 - 12.499. Round s to 1 decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -19. Let y(v) = 24 - 28 + 15*v - 39 + v**m. Is y(-20) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 4*u**2 + 10*u + 13. Let n be y(6). Let t = -8 - -14. Let v = t + -3. Calculate the highest common divisor of n and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -2\/7, 0.06, -1\/3, 3, 3\/5, -11.8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 910.5, 4 in decreasing order.\nAnswer: 910.5, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 878 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8730.7 - -8731. What is the nearest to -0.1 in 5, v, 23.8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/14)\/(l\/l**(3\/11)))\/(l**(-4)*l\/(l*l*l**(5\/6)*l)*l) assuming l is positive.\nAnswer: l**(1163\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.2312778 + 2.231. What is q rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -4152\nAnswer: -12456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*1*(-8)\/28. Suppose 2*o = 2*k - 6, 3*k - o = 4 + 1. What is the closest to z in k, -4, -2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/20)\/((-464)\/3480))\/((297\/968)\/27)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2323529586 a multiple of 10710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 7 = 23. Find the second derivative of 5*h + 4*h**5 - j*h**5 - 4*h**5 - 10*h wrt h.\nAnswer: -80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -25 (b) -2\/9 (c) -4 (d) -0.0167\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(15*7\/63*(-30)\/40).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26150323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = t - 1, -4*t - 2062 = n. Round n to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8990 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6442010*n**4 + 2*n**2 - 2341*n + 6?\nAnswer: -154608240*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -6\/19, 5, 6.\nAnswer: -6\/19, 5, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19*w**3 + 1900*w**2 + w - 131999 wrt w?\nAnswer: -57*w**2 + 3800*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58887*o**2*x**3 - o**2*x**2 + o**2 + 215772*o*x + 2*x**3 wrt o?\nAnswer: -117774*x**3 - 2*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1090958, 2181915, 3272872, 4363829, 5454786, 6545743?\n\"Answer: 1090957*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -30*n**2 + 9*n - 8. Let s(j) = j**2 + j + 1. Let t(k) = -l(k) + 2*s(k). What are the prime factors of t(3)?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -26*i - 2. Let c(f) = -51*f - 3. What is 3*c(u) - 5*m(u)?\nAnswer: -23*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -o**4\/2 + 7860*o**3 - 46334700*o**2 + 121396914000*o - 5465. Factor b(c).\nAnswer: -2*(c - 3930)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g + 2493 - 7485 - g**2 + 2497 + 2498. Suppose 0 = -k - 1 + 5. Determine o(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**3\/6 + 3*k**2\/2 - 6*k. Calculate the remainder when 45 is divided by h(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2438912 - 154067 = 189*u - 217137. What are the prime factors of u?\nAnswer: 2, 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = z - 25, 0 = -2*z + 6*z - 2*m - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 562.5963 micrograms in grams?\nAnswer: 0.0005625963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 573469373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*t - 96. Suppose 2*o - 3 + 35 = 0. Let f = o - t. What is the highest common factor of f and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1704 times 1?\nAnswer: 1704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -1277*r + 6373. Calculate b(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*p**2*t**2 - 28*p**2*t - 43*p**2 - 101*p*t - 2*t**2 + 156 wrt p.\nAnswer: 58*t**2 - 56*t - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k + 46. Calculate the lowest common multiple of 18 and z(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19609 is divided by 3258?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (13\/2 + -5)*12\/(-27)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -l - 2*l. Let u be 10 + -10 + (2 + -72 - 0). Let h be (-6)\/(-36) + u\/l. Solve -r = -3*r + h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-96 + 96 - 19*m)*(-m**3 - m**3 - 14*m**3)*((1 - 3 + 1)*(0 + 3 - 5) + 7 - 4 - 2) in the form i*m**3 + t + x*m + k*m**4 + n*m**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3080 - (5 + (4 - 8)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1144631 and 158.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*a - 14*a - 121. Solve 4*f + 4*y + 16 = 0, -a = 2*f + 4*y - 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/153*(-18)\/(-8).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -46 - 1642?\nAnswer: -2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - j + 0 + 2*j)*(-429*j**3 + 245*j**3 + 311*j**3) as d + o*j**4 + p*j + u*j**2 + v*j**3 and give v.\nAnswer: 635","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.36598777 take away -0.051?\nAnswer: -15.31498777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 6*c**2 + c + 6. Let a be u(-6). Suppose a = 10*z + 2*z + 288. Let v be z\/14*(-35)\/5. Solve 3*o - v = -0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/39*(-42)\/(-182).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -14 (b) 6 (c) -1.714 (d) 0.04 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scqq when four letters picked without replacement from {a: 2, q: 3, s: 4, c: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(3*j**2 + j**2 + 88 - 86).\nAnswer: -4*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2 - 3, -16 = w + 2*m. Let u be 2\/w + (-16)\/(-3). Suppose r - u = 2*a - 70, -4*a + 105 = 3*r. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/2 - 12\/(-4). Let t(b) = -2 + s + b + 0. Let l(i) = -6*i. Let n(z) = 7*z. Let g(f) = -4*l(f) - 3*n(f). Calculate g(t(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*y**5 + y**4 + 30122047*y**3 + 99051082*y**2?\nAnswer: -120*y**2 + 24*y + 180732282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**3 - g**2 + 5*g. Let f(r) = -r - 1. Let j be f(-9). Suppose -l - 2*l = 4*m + j, 5*l + 24 = 4*m. Let i(u) = u**3 + u. Give m*c(d) - 5*i(d).\nAnswer: -2*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1477 (base 15) to base 2\nAnswer: 1000100100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2 = -6. Let r(k) = -6*k**2 - 2*k + 2. Let z be r(n). Let x(q) = q**3 + 6*q**2 + q + 2. Calculate x(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -162106 (base 7) to base 11.\nAnswer: -2200a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -3*w + 3, -2*n - 11 = w - 0*w. Let k(m) be the first derivative of 1 + 2*m + 1\/3*m**3 + 1\/2*m**2. Calculate k(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 2*p**2 - 2*p + 2. Let k be s(3). Let g = k + 15. Is g < 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-68464)\/(-33)*78 + 0\/(-1) + -5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3375213 (base 9) in base 5?\nAnswer: -431234331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10*8\/(-60))\/(28\/12).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 4 (c) -0.5 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 5:46 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3*i**3\/8 - 15*i**2\/2 - 63*i\/2 = 0.\nAnswer: -14, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/12)\/((-6)\/(-3))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/(-1386)*56\/(-2).\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 872.4115 nanograms to milligrams.\nAnswer: 0.0008724115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002346205 to six decimal places.\nAnswer: -0.000235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3552 - 3551.6. What is the closest to 10 in -1\/7, 128, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5213 (base 12) in base 7?\nAnswer: 35034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*s + 837. Suppose o = -s + 892. Is (0 + 0)\/(-1) + o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1024*s**2 - 510*s**2 - 509*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-120)\/(2 + -6 - (-20)\/8). Let h = m + -64. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18672 and 25674.\nAnswer: 205392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/3? (a) 7 (b) -1\/2 (c) -153\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 2*p + 56 = 0. What is the highest common factor of 14 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (-6)\/(2\/(-1)). Let y be ((-18)\/(-4))\/(3\/u). Let c be 2\/y + (-252)\/(-27). Solve 2*r - r + 11 = -3*p, p + c = r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, c: 4, i: 3}. What is prob of sequence mmmc?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(153)*2*-3 - sqrt(153) - sqrt(153)))\/((3*1*sqrt(90))\/sqrt(10)).\nAnswer: -16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 912.5877 hours?\nAnswer: 3285315720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 102100271 a multiple of 1930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 66*t**5\/5 + t**3 - 344*t**2 + 674. What is the second derivative of k(s) wrt s?\nAnswer: 792*s**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72.1*-872\nAnswer: -62871.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-148)\/1073)\/4)\/1\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28531369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/6 + 6\/9. Let i(a) = -107*a**2 - 4*a - 3. Let r(g) = 108*g**2 + 3*g + 2. Let m(u) = 2*i(u) + 3*r(u). List the prime factors of m(o).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 43*f - 27. Let g be 9\/3 + (5 - 0)\/5. Is 5 a factor of i(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -174 - -12005\/69. Let m = 0.184 - 0.084. Which is the closest to t? (a) -3 (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.005? (a) 32 (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 7*m**2 - 15*m - 11. Let u be ((-4)\/6)\/(2\/6)*3. Let x be i(u). Calculate the greatest common divisor of 46 and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**4 + o**2 - o**2)*(-106*o - 24*o + 58*o).\nAnswer: -216*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 25274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23636.55 hours in weeks?\nAnswer: 140.69375","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 2*r**2 + 2*r - 2. Let p be u(2). Solve p*s = -3 - 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = -z - 904. Let q = 1241 + z. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1417, -2604, -3791?\nAnswer: -4978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 406 - 194. Let k = u + -211.9522. Round k to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**4\/6 + 13*g**3\/6 - 8*g**2. List the prime factors of z(14).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89*i - 81*i + 59*i**2 + 169*i + 80 - 2*i**3 wrt i?\nAnswer: -12*i + 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -8. Suppose n = -0*r - r. Suppose r*i - 10 = 2*i. Sort 0, i, -4 in ascending order.\nAnswer: i, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**3 - 16 - 2*h - 4 + 2*h.\nAnswer: -5*h**3 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 2.8509079?\nAnswer: 2.8509079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-1 + 1\/(-1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*y + 142*y - 1936 = 0 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**4\/4 + 7*l**3\/3 - 3*l**2\/2 - 4*l + 11. Does 32 divide c(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 276 - 94 - 93 - 89 - 6*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18562 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, p: 8}. What is prob of sequence epe?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272 is divided by 91.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 784, 786, 788, 790?\n\"Answer: 2*l + 782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -y**2 + y**2 + 13 - y - 22 + 71*y**4 wrt y?\nAnswer: 852*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -342 + 2472. What are the prime factors of a?\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1671277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 2*j. What is the units digit of m(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 23 + 1215*c.\nAnswer: 1215*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 37*f - 29502. List the prime factors of f.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210948 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 + -40. Suppose g + m*y + 333 = 4*g, 0 = 4*g + 2*y - 426. Is 27 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 22.3. What is the biggest value in 1.4, z, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, y: 9, j: 3}. What is prob of picking 2 y and 1 j?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31580826?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a decade in months?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 28, -354, -3, -7.\nAnswer: -354, -7, -5, -3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of t**2*x**4 - t**2*x + 449*t*x**5 - 891*x**2 wrt x.\nAnswer: 24*t**2*x + 26940*t*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + (-2*sqrt(132))\/sqrt(12)) - (sqrt(44)*-1*2)\/(sqrt(12)\/(sqrt(12)\/sqrt(4))))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4c1b473 + -4?\nAnswer: 4c1b46d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, -0.178, -0.095?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 16*r**2 - 14*r - 11. Determine o(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 7761551.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5667973*g**3*j + 5*g**3 - 247242*g**2 wrt j?\nAnswer: 5667973*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 - 7 + 6 + 1 + 0.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/4616158859?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 4, 2, 9 in decreasing order.\nAnswer: 9, 5, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4 = 2*p, 4*p - 28 = -j. Calculate the remainder when -2*(675\/(-6))\/5 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3725 and 149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x. Let k(b) = 45*b. Let f(u) = 35*a(u) + 4*k(u). Let z(j) be the second derivative of j**3\/6 + 731*j. Give f(z(h)).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u + 8*u + 8*u)*(4*u**2 - 3*u**2 + 0*u**2)*(1 + 2 - 1) in the form v*u + f + s*u**3 + l*u**2 and give s.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -40f02 - 106?\nAnswer: -41008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -44*b**3 + b**2. Let k be l(-1). What is the greatest common factor of k and 315?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 7*g**3 + 63*g**2 - 57*g - 556. Calculate k(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 5:04 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 2*r**2 + 13*r - 24. Let x be k(2). Let s(f) = 17*f**x + f**3 - 49*f**2 + 31*f**2 + f. Give s(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 199034 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -147\/4, 0, 0.1, -271, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 - -9b3c?\nAnswer: 9b48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.5 + 4.5. Let l = 2 - u. Which is the nearest to -4? (a) l (b) 2\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 5*a, -48*a = -36*a for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + n + 1. Let a(o) = -8*o**3 + o + 31. Let y(t) = a(t) - g(t). Differentiate y(p) with respect to p.\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 205*u**2 + 1. Let c = 4 - 6. Let j be i(c). Let d = -111 + j. Round d to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 3:12 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 4*n - 3321, -4*o + 3*n - 1633 = -6068. What is the highest common divisor of o and 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44014 to the power of 1\/2, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*s - 18 = -5*a, 2*a - 2*s = 10. Solve -3*g = 2*u - 5, -5*u = -a - 13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 199 - 1397\/7. Let n = 25 - 40. Let y = n - -12. Which is the closest to -1\/2? (a) m (b) -3\/2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12743a5 (base 11) in base 7?\nAnswer: -24500454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (36\/1224*-17)\/(-3*(-2)\/(-4572)*3)\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4117*a**2 + 2710*a**2 - 8092*a**2 to y*a + m + w*a**2 and give w.\nAnswer: -1265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 490 divided by 7\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**2 + 295*u - 18804. Determine c(44).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 12*m**2 - 9*m + 14. What is z(9)?\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 - -0.4. Which is the fourth smallest value? (a) -0.4 (b) 3\/7 (c) 4 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0098610797 to five dps.\nAnswer: -0.00986","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5 = -3*x, 0*r = -4*x + 3*r. Suppose 4*s - x = 3*s. Suppose -5*l + 10772 = -j + 3922, 0 = 5*l + s*j - 6870. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 8, n: 8}. What is prob of sequence su?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 4:32 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16290735 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (45\/10 - 4)\/((-1)\/(-14)). Let n(r) = 4 - 11*r - 28 + 5*r + 2*r**2. What is the tens digit of n(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 202*r**2 - 74996*r - 26324. What is z(393)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -18*y**2 - 1. Let n be f(2). Let u = -71 - n. Solve u*t - 2 = -12 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (5 + 3 + -8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 5:02 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 1 - 120\/(-50))\/(2\/25)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 1)*(-109 + 272*z + 56 + 53) to q + c*z and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.301*0.07.\nAnswer: 0.16107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -150847784?\nAnswer: 150847778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/51, 0.25, -2\/11, -0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 3:04 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 44380557 less than 44380559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + h - 2*h)*(0*h**2 + h**2 - 2*h**2)*(-3 + 3 - 2*h).\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + f. Let x be s(0). Suppose -a + 3 = -2*u - x, -a + 3 = u. Let l(z) = z**3 + 4*z**2 + 17*z - 8*z**2 - 1 - 14*z. Determine l(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 312866, 625321, 937776, 1250231, 1562686?\n\"Answer: 312455*f + 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6731301 - 43258.\nAnswer: -43258.6731301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {d: 1, w: 3, r: 13}?\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 2 (c) 8 (d) 1\/6 (e) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 173\/88 - -21\/11. Calculate the common denominator of 37\/96 and y.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -67*o + 179*o - 59*o + (3*o - o + 0*o)*(0 - 1 + 0).\nAnswer: 51*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 1346?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12718, -12729, -12740, -12751, -12762, -12773?\n\"Answer: -11*o - 12707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7.5 times 0.0686551\nAnswer: -0.51491325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 8*g = 41, -l = -7*g + 5*g - 41. Let m(v) = 3*v**2 - v. Calculate the remainder when l is divided by m(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n - 296*n**2 + 296*n**2 - n**3. Let y(k) = -4*k + 47. Let b be y(11). Let h(d) = d**3 + 2*d. What is b*h(g) + 2*z(g)?\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 883414.7 to the nearest one thousand.\nAnswer: 883000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/85)\/(-2)*(106655\/166)\/(-257)\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 78366 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/10)\/((-9)\/((-45)\/4)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -574.46 - 3.54. Let j = u + 733.4. Let d = j + -169. What is d rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxhaxxxhxixxah. What is prob of picking 1 a, 1 h, and 1 n?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-22)\/5 + (-6)\/(-15). Let h(x) = -21*x + 4. What are the prime factors of h(i)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13609, -13608, -13607, -13606, -13605, -13604?\nAnswer: -13603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -42. Let g be (-12)\/18 - j\/(-3). Suppose 0 = -7*w + g*w. Solve y + 6 - 1 = w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -273755\/1749 - -5164\/33. What is the common denominator of m and 69\/212?\nAnswer: 2332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7713, -32109, -73197, -130977, -205449, -296613?\nAnswer: -404469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -4, 2\/7, -0.2, 67\/4 in descending order.\nAnswer: 67\/4, 2\/7, -2\/17, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -925 - -953. Calculate the highest common factor of 84 and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + -33 + 36 - -47.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*z + 32, z + 3*h = -2*z. Suppose -z + 12 = 4*q. Let p(r) = -644 - r**q + 644. Let m(d) = -4*d. What is m(p(a))?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 280 and 2\/(1 - 3)*-37 - 2.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 2. Let j(v) = 4*v - 10. Let d be j(7). Let x be d\/(-6) + 3*2. Suppose 2*m = -1 + x. Let h(o) = -1. Give m*t(z) + 2*h(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 325815 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z**2 - 5*z**2 + 2*z**3 + (-8*z**2 - 3*z**2 - 3*z**2)*(-2*z + 0*z + 4*z) + 48*z**3 + 262*z**2 - 262*z**2.\nAnswer: 22*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*v = -118*v + 12*v - 32*v - 3825 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/((n**9\/n)\/n)))\/n*n*n*n**2)\/(n\/(n*n\/(n**(-1\/2)*n)*n*n*n))**(-40) assuming n is positive.\nAnswer: n**(-130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by -3\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 4*b - 1. Determine p(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 9928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23603859 divided by -9.\nAnswer: 2622651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -6*l**2 - 11*l - 11. Let u(j) = j**2 + 2*j + 2. What is 6*m(v) + 33*u(v)?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*s + 33*s = -50. Let c be -4*1\/(8\/(-10)). Suppose c*f - 9 = -2*u, 4 = -2*u + s*f + 3. Calculate the remainder when 8 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*b - 147*b + 35 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 741251 + -322?\nAnswer: 740727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 193 - 305. Let w = a - -136. Calculate the remainder when w is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/83630 and 9\/183986.\nAnswer: 919930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 - 4*h**3 + 4*h**3 + h**5 + 4*h**5 - h**5 - 5*h**5 + (-2*h**2 + h**2 - 2*h**2)*(4*h**3 + h**3 - 3*h**3).\nAnswer: -7*h**5 - h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -563, -1126, -1689, -2252?\nAnswer: -2815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(-5)))\/o**(1\/13))**47 assuming o is positive.\nAnswer: o**(-3102\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6467624543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (44 - 56) + (-32 - -20)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/11? (a) 0 (b) -0.4 (c) -39133.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4234 - 4210. What is the highest common divisor of l and 6972?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -28071979373 from -0.148.\nAnswer: 28071979372.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 6:22 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5*m + 3*m**5 + m - 2*m**5)*(-1 - 1 - 1).\nAnswer: -3*m**5 + 12*m - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49732?\nAnswer: 2, 12433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85 + -82. Solve -3*u - 16 = k, 2*k + s*u + 20 = -3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 655672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -99*r**3 + 3*r. Let q(c) = 198*c**3 - 5*c. Give 3*q(z) + 5*w(z).\nAnswer: 99*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9565 is divided by 682.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 586930478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 144 (base 13) to base 14\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33019 by 6.\nAnswer: -33019\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**3 - 5*c**2 - 2*c - 1. Suppose -2*t - 3 = 2*z - 3*t, 0 = -4*z + 5*t + 3. Let y be h(z). Suppose 0 = 2*f - 136 - y. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k = -5 - 13 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, i: 13, m: 3}. Give prob of picking 2 j and 1 m.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 + 99 = 7*b. Let s be (24\/9)\/((-78)\/b). Are 0 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/185863 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 9:01 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32231649 and 1427?\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 3*s = 94, -679*s + 14 = -686*s for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1027 (base 11) to base 3.\nAnswer: -1212101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (124\/217)\/((-26)\/(-7))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**3 - 758*z**2 + 2*z + 758 = 0.\nAnswer: -379, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -6*b. Let u(s) be the second derivative of 0 - 1\/3*s**3 + 0*s**2 + 7*s. Calculate d(u(x)).\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.703 + 2.4209?\nAnswer: 3.1239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 302 divide 1382254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33113032 + -2?\nAnswer: -33113034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -5, -12, -6, -10, -14?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5 + 4)*(-2 - -187))\/(-1). Calculate the greatest common divisor of 74 and i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + f**2 + 0*f**2)*(27*f - 23*f - 38*f) + 3*f**3 + 2*f**3 - 3*f**3.\nAnswer: -66*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y + 9. Let x be s(5). Let m be (-10)\/(0 + (-231)\/x). Let h = -6\/77 - m. What is the nearest to 2\/7 in h, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7073 * -0.03.\nAnswer: 212.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 h, and 1 i when four letters picked without replacement from hhihhxhhyhpphhihdh?\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -86061520 and -24.\nAnswer: -86061544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1045 + 1019. Which is bigger: -0.9 or h?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 9\/2*x**2 + 10*x + 0*x**3 + 0 - 9\/20*x**5 + 0*x**4. Differentiate o(u) wrt u.\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.7146 times 0.05\nAnswer: -0.68573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/6 and -103\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 - 0.03. Let s = -318085\/2876 + -3\/14380. Let u = s + 111. Are u and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 2*x - 4*x)*(-3 - x + 3 + (-3*x + 5*x - 4*x)*(1 + 0 + 2)).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -341780 by -27.\nAnswer: 341780\/27","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 8*p**2 + 11*p + 7. Let b be ((-7)\/(-5))\/((-4)\/(-20)). Is 7 a factor of i(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.8 plus 24417?\nAnswer: 24413.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1512351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 1. Suppose 2*z + 0 - 2 = c. Let h = 2 + z. Solve 0 = 4*n + l + 1, 4*l + 12 = -h*n + l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -103 - -2?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -371*i - 1123. Calculate j(-4).\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 24368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 55\/(-11) - (-1 - -3). Let x = 134 + r. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 68 = 16. Solve -d*j + 2*j = 30 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200004 (base 6) in base 2?\nAnswer: -11110011000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**4\/4 - 221*i**3 + 1323*i**2\/2 - 1868*i. Factor z(q).\nAnswer: 3*(q - 441)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 339840 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l - 1. Let r be (-960)\/(-280) - (-3)\/(-7). Determine u(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 694 - 293 - 27*f**2 - 381.\nAnswer: -27*f**2 - 3*f + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 31 = 6*l, -l - 7 = -19*v + 18*v. Let m(t) = 14*t**3 + 4*t - 4. Give m(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/360*25 - (-1179)\/54. Solve 3*v - 5*m = 6, -203*m + y = -5*v - 205*m for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -454 + 775. Let f = -953\/3 + g. Factor 20\/3*d**2 - 20\/3*d**3 + f*d**4 - 2\/3*d**5 + 2\/3 - 10\/3*d.\nAnswer: -2*(d - 1)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -293.2 - 347455.\nAnswer: -347748.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 337238 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 21 = 5*b - 10*u, 2*b + 3*u + 3 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/19 (b) 5 (c) -5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t + 4*t + 10 - 3*t + 0*t. Let j be k(-4). Let x(s) = s**3 - 2*s**2 - 2*s + 2. Let g(b) = 4*b**3 - 8*b**2 - 9*b + 9. Determine j*g(u) + 9*x(u).\nAnswer: u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 43aa + 3a0?\nAnswer: 479a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - l + 38*l - l - 7*l + 2*l + 0 + 0 + (-5 + 1 + 2)*(-3 + 2*l + 3) + 0*l - 3*l + l in the form q + b*l and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2\/5 (c) -1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-295)\/99 + ((-37)\/(-148)*18)\/(3\/2)?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-20))\/(26\/(-104)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90 - 166. Calculate the common denominator of (-8)\/s - (-691)\/114 and 101\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*b = -9*v + 923994, 5*v - 924010 = 5*b. Suppose -10*p = -14*p + v. Suppose 0*u = 3*u + p. What is u rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 20*v + 5. Let t be (46 + -50)*(-3)\/(-4) - 0. Let d(n) = -7*n - 2. Give t*w(m) - 8*d(m).\nAnswer: -4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -14.361?\nAnswer: -5.7444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 78.29 and -3757327.9.\nAnswer: -3757249.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 308 - 1?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0067 and -2024.2.\nAnswer: 13.56214","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -4\/665 + -617\/7980. What is the second biggest value in p, 0.311, 0.5?\nAnswer: 0.311","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8367 divided by 5.\nAnswer: -8367\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31582364 divided by -2.\nAnswer: 15791182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 - 4*y**2 + 4*y**2 + (2*y - 3 + 3)*(-4*y + 2*y + 3*y) + 21*y**2 - 31*y**2 - 34*y**2 - 3 + 3 + 9*y**2.\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21 - 19 - 4*-1. Solve 0 = j*i - 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -76*a**2 - 610*a - 12. Let k be v(-8). Solve -5*z + 237 - 246 = u, 3*u + 5 = -k*z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**1*i*i)\/i)**7)**(2\/13)\/(i**(-5\/3)\/(i*i**(2\/15))*(i\/i**4)\/(i\/(i*(i*i**(-5)*i)\/i))) assuming i is positive.\nAnswer: i**(777\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 172969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 5. Let u be n(-2). Which is smaller: u or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1580 divided by 311\nAnswer: -1580\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/6 + 20\/30. Let p(i) be the first derivative of -3 + o*i + 0*i**2 + 2\/3*i**3. Differentiate p(s) with respect to s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -44*n**2 - 3820*n + 696 = 0.\nAnswer: -87, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19471, 19472, 19473, 19474, 19475, 19476?\n\"Answer: t + 19470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 9:56 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 913*t**3 - 910*t**3 - 6 + 8 - 8 - t**2 - 2*t. Calculate r(3).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/((-364)\/156)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 10 = 2, 5*w = -3*d + 90. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**4*s + 13514*n**4 - n*s + 134538*s with respect to n.\nAnswer: -4*n**3*s + 54056*n**3 - s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1361 + 1363. Let f be ((-4)\/5)\/((-4)\/10). Let k(x) = 3*x + f*x + 3*x - l*x. Let o(n) = n**2. Calculate o(k(b)).\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -326920 = -143*h - 53929 + 80219. What is the remainder when h is divided by 615?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 14 = 2*r, -42*q + 59*q + 3*r + 1 = 13*q - 2*r for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 215*x**2 + 2045*x + 1024. Give g(205).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1700998ml?\nAnswer: 0.0001700998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 7:15 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -0*z + 4*z. Let n = 31 - z. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*89040409.\nAnswer: -8904040.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1862603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 4*h, 0*h + 4*h = -4*n - 4. Let l(g) = -847*g + 6. Let o be l(n). Let a = 8982 + o. What is a rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 201830 to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 p when four letters picked without replacement from {p: 7, w: 5}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 2*g - 22133 + 22075, 5*y - 5*g = 60 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1162 = -13*c + 762. Let j = c + -148. Solve j = 4*y - 1 - 11 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 60*m + 57*m - 7177 = 0, -4*r - 3*m = 14333. Is r greater than or equal to -3581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 166 = -5*w, -3*i + 6*w - 2*w = 249. Let r = -38 - i. Suppose 27 = 4*k - r. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6 - (-69)\/(-12) - (-177)\/336 and -143\/280.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11690 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2298 + 61*g + 2298)*(-4 + 0 + 3)*(g + 3*g - 3*g).\nAnswer: -61*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 5*p**3\/3 - 16*p - 13. Differentiate d(y) with respect to y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -1, 3 in descending order.\nAnswer: 4, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7611 and -134.\nAnswer: 1019874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*x + 49*x = 424. Solve 12 = 3*y - u + 11, 3*y = x*u + 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*s**2 - 12*s**2 + 24*s**2)*(-1 - s**2 - s + s).\nAnswer: -s**4 - s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 - 2*m**3 + 8*m**3)*(-10*m**2 + 76 - 76) - m**5 + 3*m**5 + 3*m**5.\nAnswer: -65*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 21. Let f = -21.1 - l. Which is the closest to 6? (a) 0.4 (b) -2\/9 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12596 and 0.5?\nAnswer: 12595.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-26)\/8 + 12\/48?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320\/(-48)*69\/46?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9027.68 + -9025.743695. Let i = z - 1.8463127. Let h = -0.09 + i. Round h to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.26652 decades in months?\nAnswer: 5071.9824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 - -51. Solve -g - 4*g - 20 = d*f, -4*g - f = 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a meter in millimeters?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-20)\/25)\/(2\/(-10)). Let d(q) = q**3 + 3*q**2 - 2*q - 2. Let c be d(2). Suppose -j*g + c = -10. Solve 0 = -3*t - 4*o + g, o = -5*t + 2*t - 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t - t + 0*t)*((-1 + 1 + 1)*(3 - 2 + 3) + (-1 + 2 + 1)*(1 - 3 + 0) - 6 + 2 + 2 - 2 - 2 + 3) as n*t + h and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6079)\/6*(-8)\/(-44). Let y = g + 545\/3. Let c = 3097\/690 - 13\/69. Find the common denominator of c and y.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/3)*g)**(-4\/9)*g*g*g*g\/(g**(1\/2)*g)*g**1\/g assuming g is positive.\nAnswer: g**(95\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -254*o + 175 - 213*o - 1254*o**2 + 58*o - 175 wrt o.\nAnswer: -2508","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.187928 rounded to 3 dps?\nAnswer: 0.188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -198.99 + 196. Let d = f - -3. What is d rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62377\/12 + -5195. Calculate the common denominator of u and 59\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*f - 96*f = -92678. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 9:24 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 5*t**3 + 3\/4*t**4 - 44 + 9*t + 21\/2*t**2. Suppose n(l) = 0. Calculate l.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*1*-4)\/((sqrt(12) + sqrt(72)\/sqrt(6) + sqrt(12))*-4) + 1.\nAnswer: 1 + sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -3. Let u be (2 - 1)\/(1 - p). Let b be ((-2)\/4)\/((-1)\/8). Put 5, u, b in increasing order.\nAnswer: u, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2052 divided by 2052.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -105932*v + 106248*v + 34760 for v.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + -7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*q**2 - 8*q**2 + 2*q + 15*q**2 + 1 as t + f*q + g*q**2 and give g.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/3, 5, 2\/7, 0, 15, -15?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**2)\/j)**(45\/2))**(-34) assuming j is positive.\nAnswer: j**(-1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h - 10*h - 28 + 28)*(-4 + 2 + 0).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-101)\/(-5) + (-1)\/5. Suppose 30*f = 25*f - i. Let a(l) = -l**3 - 4*l**2 - l - 4. What is a(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1851, -1899, -1945, -1989?\nAnswer: -2031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.911471 minutes to nanoseconds.\nAnswer: 114688260000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -129.5 and 0.\nAnswer: -129.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.152 and 337641290.\nAnswer: 337641290.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1039*n - 1996*n - 874*n.\nAnswer: -1831*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -19*a**2 - 5*a. Let p(j) = 9*j**2 + 2*j. Let l(s) = 6*o(s) + 15*p(s). Let g(k) = 17*k**2. Give l(g(w)).\nAnswer: 6069*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/480 and -107\/2760.\nAnswer: 11040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.745 - 1.145. Sort -0.01, c, 31.\nAnswer: c, -0.01, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 150461675\/408 - 368779. What is the common denominator of f and 107\/680?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a week in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 8*j**2 - 192*j - 3271. What are the prime factors of l(93)?\nAnswer: 5, 9613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 3\/31072?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 27\/6)*(-300)\/(-9). Suppose -49*w + d*w + 65 = 0. Let s = w - -139. Calculate the remainder when s is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 - -46. Is p - -3 - (-304 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 416 and 10739248?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/31 and (202\/4*1)\/(8 + -12).\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 915151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13390*r - 3735 = 13072*r + 1624 - 1543 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -243 - -245. What is the hundreds digit of (-11 - -12)\/(w - (-1938)\/(-970))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/5 + (-4)\/20. Let b(o) be the first derivative of o**4\/2 + 4*o + 1. Let v(n) = n**3 + n**2 + 4. Let a(f) = 2*b(f) - 3*v(f). What is a(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.098 + 171.098. Let y = w + -161.1. Let k = 10 - y. Which is the nearest to k? (a) -0.2 (b) 6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y**2 - 5*y - 16. Let l be m(11). Let q = l - -797. Solve q = -3*f + 10*f - 21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 - 4. Let g = f + 55.999906. What is g rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -16. Let i = -24.12 - -24. Let h = 0.02 + i. What is the third smallest value in p, h, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**2 + 5*g + 0 + 4 - 4 to d + b*g**2 + u*g and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 4, 2181 in increasing order.\nAnswer: 0, 4, 5, 2181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {i: 2, v: 2, k: 1, u: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 346298 divided by -2.\nAnswer: -173149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*w + 14 = 0. Suppose 4*m - 60 = -2*l, 5*l - 108 = 4*m - w. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7*n. Let j(q) = q. Let t be 4*((-9)\/(-12))\/3. Let f(z) = -7*z. Let u(l) = t*f(l) + 5*j(l). Calculate u(d(g)).\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**7\/252 + a**6\/180 + a**5\/24 + a**4\/24 - 27*a - 26. Let d(h) be the first derivative of y(h). Solve d(q) = 0 for q.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 358\/61 - 830\/183. Which is the smallest value? (a) 22 (b) 2\/11 (c) -3\/4 (d) 0.5 (e) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 - 31.323?\nAnswer: -136.323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 9*k - 4*k + 19*k**2 - 18*k**2 + 8. Does 2 divide y(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/3)*r\/(r*r*r**(-1\/5)*r))\/((r*r\/((r**(-2\/5)\/r)\/r*r)*r)\/r)**31)**12 assuming r is positive.\nAnswer: r**(-6412\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*c + 0*c = 2, -10 = 5*u + 5*c. What is the units digit of u - 4\/(32\/(-5832))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s**2 + 15. Let z(c) = -1135*c - 1. Let l(t) = -3216*t - 2. Let n(p) = -6*l(p) + 17*z(p). Determine a(n(m)).\nAnswer: -5*m**2 + 50*m - 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1088747572?\nAnswer: 2, 11, 24744263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/7 in 1, -5, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2166 + 3628. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -317493531*h**2. Let m(p) = p. What is i(m(g))?\nAnswer: -317493531*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10265, -9834, -8669, -6404, -2673, 2890, 10651?\n\"Answer: 61*d**3 + d**2 + d - 10328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-12) - (-138 - -1). Let q = j - 133. Calculate the least common multiple of 1 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -270, -665, -1326, -2253, -3446?\nAnswer: -4905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 30 = 2*n, -3*v = 4*n - 30 - 16. Solve n = -5*h + 5*m, h - 5*m + 3 + 7 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.1 + -4. Suppose 10*c - 309 + 339 = 0. What is the nearest to j in -5, -7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/(sqrt(30)\/sqrt(3)*-5))\/(((sqrt(72) - sqrt(72)*3)\/sqrt(9))\/sqrt(4)).\nAnswer: sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -17. Let l(f) = -f - f + j + f. What is the units digit of l(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -11\/6, -4, -0.5, -1\/14, 8\/9?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-96)*-66824)\/((-224)\/(-222) + -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 11:11 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 285842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 37\/2, -0.4, -1\/2, -0.1, 0.37 in decreasing order.\nAnswer: 37\/2, 0.37, -0.1, -0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5 = -10. What is the least common multiple of (-14)\/a*(-6)\/(-4) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x = 65*x. Which is the closest to x? (a) -0.53 (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*s + 1224*s**2 + 6*s + 1216*s**2 - 4*s - 2441*s**2 - 56.\nAnswer: -(s - 8)*(s - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2726 - 1745. List the prime factors of u.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1673, -6687, -15045, -26747, -41793, -60183, -81917?\n\"Answer: -1672*c**2 + 2*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69689*f**2 + 96770*f.\nAnswer: -139378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 520 = 522. Factor 1\/4*n**3 + 0*n + 3\/4*n**2 - b.\nAnswer: (n - 1)*(n + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 equal to -849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 204791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/198 and 23\/182160*138*5\/2?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*l - 70 + 203 + 147 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-12))\/(1 + -6 - -8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-1 - -5 - (-2 + 3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 10*p + 26. Calculate the remainder when 42 is divided by i(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -5. Let t = u + -3.4. Let y = -30 + 30.2. What is the third biggest value in t, 2\/5, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29448 and 14688.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**5 - 250719*g**4 + 6*g**3 - 45*g**2 + 3629772*g.\nAnswer: -60*g**2 - 6017256*g + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -14. Let k = 14 + j. Suppose -49 - 19 = -k*i - 2*b, 4*i + b = 136. Calculate the remainder when i is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/(-28) - (3 + (-21)\/6). Solve k = 24*g - 31*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1122 and 932902234.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*h + 155*h = 30 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2712 = 256*a + 872 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1196?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-26))**(-5)*(u**19)**(-46) assuming u is positive.\nAnswer: u**(-744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 250\/7 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 7 - 1. Let y = -15 + 20. What are the prime factors of (1 - (w + -3))*y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1366 or -3551?\nAnswer: 1366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -3. Suppose v*t = t - 2. Suppose -2*n = -3*j - 8, 0 = n - t*j - j - 1. Solve -3*a + 2*d + 3 = 4, -2*a - 5*d = n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50552 rounded to the nearest 1000?\nAnswer: -51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, i: 3}. Give prob of sequence inn.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -13. Let h be 16 + (-2)\/p*2. Suppose -9*t + 6*t + 90 = 0. Calculate the greatest common divisor of h and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*28\/(-24)*(-132)\/(-42). What is the second derivative of -u + 29 - 18 + 35*b**2 + 86*b**2 + 113*b wrt b?\nAnswer: 242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y - 4. Let i(x) = -50*x + 6. Let p(w) = -24*w + 1. Let f(q) = i(q) - 2*p(q). Determine -4*f(t) - 5*v(t).\nAnswer: -2*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57673\/5 + -11487. Let g = w + -48. Let c = -1 - -0.98. What is the second biggest value in g, c, 2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/21*(-11)\/(-44).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) -20 (c) 3 (d) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 8:50 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18788*x - 10886 wrt x.\nAnswer: -18788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*m**2 + 2*m**2 + 2*m**2)*(-26*m - 3*m + 13*m)*(5 - 6 + 3) in the form s*m**2 + v*m**3 + j*m + n and give v.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1632 and 14926?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/6013 and 5\/1465454.\nAnswer: 10258178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, n: 14}. What is prob of sequence ntn?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -1 - 8 - 16) + -13?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/37 in 43, 1, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33306, -264751, -892916, -2116161, -4132846?\nAnswer: -7141331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2978 or 2981?\nAnswer: 2978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mief when four letters picked without replacement from miieieedimifiimme.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 + 2. Suppose 0*z + z = -5. Let k(m) = 3*m - 3*m + m**2 - 3 + 2*m**2. Give z*l(h) - 4*k(h).\nAnswer: -2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**8\/112 - a**7\/35 + a**5\/10 + a**4\/8 - 2*a**2 - 4*a. Let z(n) be the first derivative of c(n). Find f such that z(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1278045 is divided by 638963.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**6\/j**(-15))**40 assuming j is positive.\nAnswer: j**840","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1535 - -1535. Solve 9*l - 5 + 14 = q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172145 is divided by 893.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 30 = 2*k, -k - 97 = -6*k + 3*r. Let j = 2078 - 2076. Solve 0 = -4*o + 1 + 3, 0 = 3*f - j*o + k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 1\/66*v**5 - 5*v**2 + 2\/33*v**4 - 16\/11*v**3 + 0*v - 1\/660*v**6 + 4. Find f, given that l(f) = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1053?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 27. Let s = a - 16. Determine c so that 1\/3*c**s + 4\/3*c + 4\/3*c**2 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - 0 - (6 + 825\/(-5)). Suppose -5*z + f = -18*z. Let q be (-1)\/(3 - 12\/(-45)*z). Solve 2 = s + q for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -5 - (4 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 326962 (base 13) to base 6\nAnswer: 41225424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 643*t = 404*t + 1912 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5925901841?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**5 - 6786*v**4 + 4952361*v**3 - 1153680282*v**2 + 5674747008*v - 6774283296 = 0.\nAnswer: 2, 3, 473, 892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 93490000 rounded to the nearest one million?\nAnswer: 93000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = p - 33. Let z be (-6)\/p + (-8)\/22. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2156820 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17238883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125727859?\nAnswer: 307, 541, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/((-25)\/3) + 272\/80. Is (-2)\/((f - 3) + -3) - -16248 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 198, -36, -546, -1470, -2946, -5112?\nAnswer: -8106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 + -11 - 8) + -3 + 2 + -6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -1)*(-15)\/(-5). Suppose -33 = -4*p + p - q, -g*p + 2*q + 24 = 0. What is the greatest common factor of 20 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*u**2 + 21644*u - 420122 wrt u.\nAnswer: 4*u + 21644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - -3) + 1 - (14 + (-5 - 1) + -6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62300 rounded to the nearest one thousand?\nAnswer: 62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15152624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 612626023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 654652223.\nAnswer: 79, 2179, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 266 and 62947346?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 11110.\nAnswer: 44440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 5\/6 (c) 58 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 133 (base 9) to base 15\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3 - 1 = 0. Let w(o) = 9*o**3 + o**2 + o - 2. Let d be w(x). Suppose 3*c + d = 4*f, -f + 95 = 4*f - c. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 + 79. Is 21 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 11*b**3\/3 - 2*b**2 - 4*b + 3. Let p(l) = 23*l**2 - 9*l - 9. Let g(c) = 9*h(c) - 4*p(c). Let k(m) = 2*m. Give k(g(o)).\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/37584 and -49\/5742?\nAnswer: 413424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3810 + 1405. Let o = z + 3487. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 + 0 = -4*m, 0 = -3*m - 2*v + 3. Let r be 0\/1*(2 - m). Suppose 3*x + r*x = 69. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*a**2 + 3*a**4 - 8*a**4 - 25*a**2 wrt a.\nAnswer: -120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 848469667 to the nearest integer?\nAnswer: 29129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 3 + 7 + -3 - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 30220 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**8\/308 + w**7\/55 + 3*w**6\/110 - w**5\/110 - w**4\/22 - 40*w**2. What is x in p(x) = 0?\nAnswer: -2, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**6\/600 - 2*n**3\/3 + 21*n**2\/2 + 51. Let j(f) be the third derivative of u(f). Solve j(s) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + 1200 - 6069 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198122*z**2 + 99065*z**2 + 99062*z**2 + 1 + 0 + 0 - 1.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -26*p - 51. Determine z(0).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -8. Let x = c + -5.2. Let n = -4.7 - x. Round n to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36.6 - -5.4. Let g = h - 44. Which is the nearest to 1\/4? (a) g (b) -2\/11 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*r - 5 = 181*r - 5*p, -5*r + 11 = 2*p. Let t = 34 + -30. Solve x + 40 = t*x + 5*v, -5*x = -r*v - 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82021099 is divided by 1900?\nAnswer: 1899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 39*v**2 + 3*v + 3. Suppose 3*d = -c - 2 - 7, 0 = -c + d + 11. Is 19 a factor of w(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, o: 1, c: 1, f: 1, w: 1}. What is prob of sequence oc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 6*u + 94. Suppose -59 = 6*r + 31. Let y be m(r). Solve 6*h - 4*h - y = -w, 5*h = -5*w + 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 6*z - 3. Let s be k(6). Let x be -2 - 4\/3*s. Suppose 3*f + x*f = 40. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11.716 + 9.716. What is the third biggest value in -2\/3, c, 1, 1\/5, -0.029?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, 20, -4.\nAnswer: -7, -4, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/7)\/b)**(-14\/9))**(1\/41)*((b**(-2\/3))**(1\/8))**(-4\/3) assuming b is positive.\nAnswer: b**(59\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7035152407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*v + 113*v + 5*a + 565 = 0, 2*a = 0. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - 6*v**2 + 3*v**2)*(1 + 8 + 12 + 2*v).\nAnswer: -2*v**3 - 21*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 16 = -0*g, 0 = 2*q - 2*g - 32. Calculate the greatest common factor of 8 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-351)\/(-1040) + (-4)\/(-64).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 2 = 3*h. Solve -2*o + h*s = -4, -4*o + 1 + 0 = -s for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2003*s + 2009*s = 24. Factor 6*t**2 - 18\/7*t - 30\/7*t**3 + 0 + 6\/7*t**s.\nAnswer: 6*t*(t - 3)*(t - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-9))\/(12\/(-36))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u**5)\/u)*u**(-15)*(u**(-3\/2))**(-6\/19))**(-4) assuming u is positive.\nAnswer: u**(1408\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 15*g**2 + 17*g - 129. What is the units digit of m(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**3 + 75*t**2 - 50*t - 22. Let h(w) = -w**3 + 15*w**2 - 10*w - 4. Let o(g) = -11*h(g) + 2*x(g). Factor o(k).\nAnswer: 5*k*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, r: 2, p: 3, o: 4, m: 2}. What is prob of sequence omr?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**4 - 95294353*v**3 + 2*v**2 + 1956657*v.\nAnswer: -48*v - 571766118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h**2 - 22*h**2 + h**2.\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1632\/48*(-3)\/2)\/(3*1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 5*j - 4. Let k be s(-3). Let l = 8 + k. Let u(q) = -q**3 - 9*q**2 - 10*q - 12. Let g be u(l). Solve 9 + 3 = -g*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c - 5*t + 110 = 0, 4*c - 265*t - 52 = -267*t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 608635 is divided by 11063.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -244772048?\nAnswer: -244772048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145.2048 millilitres to litres.\nAnswer: 0.1452048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -5, 5, -4, -38 in decreasing order.\nAnswer: 24, 5, -4, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 93 (b) -246\/31 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 88 = 5*x. Let j = x - 20. Suppose j*b + b = 0. Solve -g = -b*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 + -39. Put 3, x, -5, 0 in decreasing order.\nAnswer: x, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15941458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 0 + l**2 + 0*l + 3\/2*l**3 + 1\/8*l**4 + 1\/60*l**5. Is c(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 9*n = 20. Determine i so that -6*i**2 - n*i**5 - 8*i**2 + 10*i**3 - 5*i**2 + 5 + 5*i**4 - 5*i + 9*i**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 4:41 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151830 divided by 630.\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 628492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 5. Let w be d(-3). Solve -4*p = n - 19, -p + w*p = n + 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.6 - -5. Suppose -4*f + 457 = 3*c - 3*f, -10 = 2*f. Let w = -1384\/9 + c. What is the second smallest value in l, w, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 327 + -618. Let z = -115 - k. Let u = -7 + 29. Calculate the highest common factor of u and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 140\/63 + 12\/(-54). Let y = 25 + -9. Calculate the highest common divisor of j and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of d**3 + 0*d**4 - 13\/5*d**5 - 50 - 3*d**2 - 4*d. Find the second derivative of t(b) wrt b.\nAnswer: -156*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 0.4 (c) -1\/6 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 8*q + 9. Let r be h(-9). Suppose r = -3*f - 2*f + 5. What is the remainder when 1 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2340, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2642*5.\nAnswer: -1.321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (426 - 2895)\/(-3*(-1)\/(-17))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-4)\/(-39)*(-150)\/200.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00042012753 rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.2903615 days?\nAnswer: 418.12056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 4*f + 73. Let d be u(11). Suppose 6*b - b - 115 = 0. What is the remainder when 7\/((-42)\/d)*132 is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 17.3. Let d = 0.4 - w. Let m = -0.09999948 + d. Round m to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -86 + 126. Suppose 0 = 3*g + 3*w - 5*w + j, -2 = -w. Let l(m) = m**2 + 7*m - 5. Does 13 divide l(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31432, 125892, 283324, 503728, 787104?\nAnswer: 1133452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/144*4*45\/525*-5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 86572.71 kilometers?\nAnswer: 86572710000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.819 rounded to zero dps?\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2298243457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -786, -2854, -7010, -13980, -24490?\nAnswer: -39266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12225 - 5539. Let t = m + -16686. What is t rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 minus -9.1?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -16. Let k = 0.05 - 2.05. Let s = k + -1. What is the nearest to 2 in 4, s, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - 1*(sqrt(187) + -2*sqrt(187) + sqrt(187))) + ((-1*sqrt(187) + sqrt(187))*-3 - sqrt(187)))\/((5*sqrt(88)*1)\/sqrt(8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -9*w**3 - 2 - 16*w**3 + 17*w**3 + 0 + 40*w - 48*w. Let n(d) = -17*d**3 - d**2 - 16*d - 5. Give 2*n(j) - 5*t(j).\nAnswer: 6*j**3 - 2*j**2 + 8*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 779.2019 years to months.\nAnswer: 9350.4228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2*-104781445\nAnswer: -209562890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5486 and 300.\nAnswer: 822900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71 - 35. Calculate the remainder when 104 is divided by w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -48*d - 180 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*z - 2, -2*z - 27 = 5*t - 70. Let n(d) = -d**2 + 11*d + 9. Is 19 a factor of n(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*u + 54 = 0. Calculate the remainder when 44 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*q + 9, -2*w + 4*q = -20. Let x be 5\/(2*2\/w). Suppose -y + r - 3 = 5*r, x*r + 46 = 2*y. Solve -t + 3*h + y = t, t - 4 = h for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5699 is divided by 142?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 3*p + 5*z, -p = 3*p + 3*z - 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9105870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/516 and 41\/3?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/46780314 and -13\/49.\nAnswer: 327462198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 124675 and -10867354.9.\nAnswer: -10742679.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 - -67. Suppose -40*k + 37*k - 80 = -23*k. Solve -2*v - 5*j + 4 = f, 5*v = k*j + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1669 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2342 and 191931584?\nAnswer: 2342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2. Let n(x) be the third derivative of -691*x**5\/60 + x**2 + 321*x. Calculate c(n(y)).\nAnswer: 477481*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 3*a**4\/28 + 16*a**3\/7 - 33*a**2\/14 + 3*a + 3. Suppose f(g) = 0. What is g?\nAnswer: -11, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -32. Let u(r) = -r**3 - 11*r**2 - 11*r - 7. Let b be u(j). Solve -b*c - 2*c = 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 10cc?\nAnswer: -10c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 274 + -59. Suppose 2*i + 3*r = 143 - 7, 3*i - c = r. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 8*h**2 - 2*h + 4. Let p be n(-8). What is the units digit of 1*-20*(-25)\/p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/1)\/(11\/11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9797 or -9795?\nAnswer: -9797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.8 and 334?\nAnswer: 333.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -5. Suppose -4*p + p = 0. Which is the nearest to 2\/5? (a) 0.1 (b) p (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 38678435, 154713732, 348105885, 618854888, 966960735, 1392423420?\n\"Answer: -v**3 + 38678434*v**2 + 2*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -2.7 (c) -10.32 (d) 17\/182\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -9. Let s(d) = 2*d**2 + 2*d**2 - o*d**2. Let y(h) = h**2 + h - 2. Let g(p) = 13*p**2 + 11*p - 22. Let v(z) = 4*g(z) - 44*y(z). Give s(v(x)).\nAnswer: 64*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14111?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 - -4483\nAnswer: 4483.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -29920.80502 rounded to the nearest ten?\nAnswer: -29920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15577727 is divided by 1946?\nAnswer: 1943","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9 * -1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h = 31*h + 4*l + 112, -20*h + 16*h = -22*l - 58 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 8. Suppose -4*c - x = 0, 0 = 5*c + x - 3 + t. Suppose 3*u + 5*p - 31 = 0, 5*u = -3*p + 24 + c. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1913.4669 months in years?\nAnswer: 159.455575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11.7+23219.1085\nAnswer: 23230.8085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 179076243 to the power of 1\/2, to the nearest integer?\nAnswer: 13382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21 + 4?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -8*v - 6. Let m(t) = -356*t + 3912. Let c be m(11). Let y(w) = 7*w + 5. What is c*x(j) - 5*y(j)?\nAnswer: -3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8035258.\nAnswer: 2, 7, 11, 52177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 932535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -9. Suppose l = -3*h + 5*z - 1 + 22, -h + 18 = 2*z. Let s be (-32)\/(-6) + (-4)\/h. Solve -5*c = s + 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 951454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/1149247 and 109\/1146.\nAnswer: 6895482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 22*r - 6. Let f be c(1). Suppose 0 = 20*m - f*m - 72. Let z(l) = 7*l**2 + l + 1. What is the remainder when m is divided by z(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 829\/3 and 2.65 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 + 3)*(-26*c - 56*c + 12*c) to the form s*c + v and give s.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.09, -2\/7, -4, -53, -2, 0?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37661004 by -9415251.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1691 - -1681. Let k = -598\/21 - -370\/21. Which is smaller: k or h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n + 5*n - 36 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*u - 208. Suppose -4*t = -2*v + 56, 4*t + 0*v - 4*v = -u. Is (-185)\/t + 1\/(-3) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2506 a factor of 755477100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247 + 593 = 5*y. Let w(r) = -2*r**2 + 24*r - 18. Let k be w(11). Suppose -7*f + y = -k*f. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2850 by -5.\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 317 by 486.\nAnswer: 317\/486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 + (2 - 8 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14161*g**3 - 9 - 50 + 14155*g**3.\nAnswer: -6*g**3 - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 - 1)*(131*p + 27*p + 89*p) as t*p + f and give t.\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -0.01829159.\nAnswer: -0.31829159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((15\/2)\/5)\/(3\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129008477?\nAnswer: 13, 83, 119563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 41*f + 6. What is n(41)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (2 + (6 - -2)). Suppose 3*c - 9 - 36 = 0. Let o = c + t. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -0*q - 4. Let v be (-24)\/2*(q - -2). Let t = v - -50. Does 19 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.025, -4, -1, 5 in decreasing order.\nAnswer: 5, 0.025, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000110111110 (base 2) to base 14.\nAnswer: -3210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 9 = 17. Differentiate 75*s + 0*s - 8*s + 93 - a with respect to s.\nAnswer: 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 189462 - 91345. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -26. Suppose 0 = m + 2*m - 2*m. Let h(t) = -t + 5. Let v be h(m). Solve v*l + q = -4, 5*q + j = -2*l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-140) + 2*2\/16?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -351, -769, -1309, -2031, -2995, -4261, -5889, -7939?\n\"Answer: -10*d**3 - d**2 - 345*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 9 (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 213, 214, 215?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p**2 - 2*p + 1. Suppose -3*v = -2 - 1. Let f = -4 + v. Is 31 a factor of j(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/(-6)*(-202)\/(-5). Let l = c + -405\/4. What is the closest to -0.1 in -2\/3, l, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 7*i**2 - 20*i + 38. What are the prime factors of s(7)?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 0.661726\nAnswer: 0.2646904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**6\/420 + l**5\/42 - 2*l**4\/21 + 4*l**3\/21 + 76*l**2. Factor r(q).\nAnswer: -2*(q - 2)**2*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/((-4)\/(-16)*2). Suppose -s = 3*x - 3*y, x - 4*x = -4*y + 8. Suppose x = 2*z - 0*z - 560. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*x - 8\/3*x**2 + 0 + 28\/15*x**3 + 2\/15*x**4 = 0. Calculate x.\nAnswer: -10, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**2\/2 + 4*a + 3. Let u be -1*(-9)\/(-6)*-2. What is the units digit of c(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/71 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j - 92*j = -1051632. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3b (base 14) to base 8\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j. Let m(a) = 21*a**3 + 189*a. What is 756*d(v) + 4*m(v)?\nAnswer: 84*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3\/4 - 13*v**2\/2 - 12*v = 0 for v.\nAnswer: -24, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -134, 0, -0.295, 5, -8, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 38881562, 77763130, 116644700, 155526272?\n\"Answer: y**2 + 38881565*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -262 equal to 51131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 + 151*p + 23 - 151*p as b + n*p**2 + u*p and give b.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-243)\/45 + 2\/5 + (-227)\/(-1) is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*q - 1. Suppose -i + 30 = 4*i + 5*r, -i + 4*r = -1. Solve 2*n + 19 = 3*n - q*a, -4*a = -i*n + 32 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = m + 3*q, -41 = -2*m - q + 119. Calculate the remainder when m is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2) + 17 + (-473)\/22.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-28)\/6*27\/(-6). Solve -c = 4*k - 41 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15357295 rounded to five dps?\nAnswer: 0.15357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 5*z - 4*z + (2 - 2 - 2)*(-z - 15*z - 4*z))*(-z + 2 - 2 - 2 + 2 + z + (0 + 0 - z)*(0 - 1 - 1) + 1 - z - 1 + 0 + z + 0).\nAnswer: 84*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 24 = -a - 3*a, 0 = -5*a + 5. Let h be j*(8 + (-4)\/2). Calculate the common denominator of 1\/h*(-140)\/30 and -107\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-5 - (8 + 0)) - -6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 91, 85, 61, 13?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 3*k**2 - 2*k**2)*(k - 3*k + 4*k)*(-3 - 4*k + 3)*(-1 + 2 + 0).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10*(-2 + 1) - 4. Let w = c - -18. Let x = 6 + w. What is the least common multiple of x and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 587*y + 2021 = -2088 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -586 = 66*s - 82 + 24 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1032 + -3789408.56.\nAnswer: -3788376.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1599 <= -1586?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5410*q + 4603. Give w(-1).\nAnswer: -807","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -4 (c) -388 (d) 38 (e) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40518, -87284, -134038, -180774, -227486, -274168, -320814?\nAnswer: -367418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1852 - 1612. Is d a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1106584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -11, 2 in increasing order.\nAnswer: -11, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1410365 to the nearest integer?\nAnswer: 1188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a - 31724*a**3 - 72489*a**3 + 0*a.\nAnswer: -104213*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jevrrerydyyd. Give prob of picking 1 d and 1 y.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 7:48 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14397047, 28794091, 43191135, 57588179, 71985223, 86382267?\n\"Answer: 14397044*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 123\/(6*(-1)\/(-4)). Let i be d\/126 - 2\/9. What is the nearest to 1 in 3, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + 29128?\nAnswer: 29119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**4 + 28*s - 28*s)*((7 - 3 - 3)*(-1 - 1 + 0) - 3 + 3 + 2 - 476 + 1520 + 649).\nAnswer: 6772*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.7 - 0.7. Let b = -5 + 0. Let y = 2 + b. What is the smallest value in -1\/3, d, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -6*l - 63 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -69. Let h = g - -264. Let o = h + -218.99252. Round o to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 633 and 132133.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1096356 seconds in microseconds?\nAnswer: 109635.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78448852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**2. Let v(x) = -x**2 - 6. Let f(q) = -q**2 - 7. Let g(m) = 6*f(m) - 7*v(m). Calculate g(n(i)).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 1384*u - 454280. Give m(535).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-14) + (-372)\/(-21). Let i be -27*((-1008)\/(-64) + (-2)\/(-8)). Let d be (i\/15)\/(12\/(-30)). Calculate the highest common divisor of d and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30383365057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*c + n + 2161 = 0, -40*c = -38*c - 4*n - 44 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from puvvh. Give prob of sequence vv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 11. Suppose d*q + 6 = 5*q. Let m(s) = 4*s - 46. Calculate the remainder when m(14) is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 939 - 938.9999942. What is t rounded to 7 dps?\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o**2 + 6*o**2 - 3*o**2 - 2*o**2 - 2*o**6 wrt o?\nAnswer: -240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -128 + 55 + 31 - -58.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 284*(-4 + 3)\/(-4). What is the common denominator of 45\/22 and a*((-2)\/(-28))\/(-1)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = s + 8. Suppose -t = -s*t. Solve t = -3*j + 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025 times -33801?\nAnswer: -845.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*b = -28, 4*b + 10 = -6. Suppose -35 = -5*k + 3*v + 15, -30 = -5*k - v. Let w = k - j. Solve 2*p - w = 0, 3*z - 5*p = -2*p + 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101000001101010 - 10111?\nAnswer: 11101000001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11030198 a multiple of 478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77*a**2 + 112*a**2 - 75*a**2)*(0*a**2 - 2*a**2 + 0*a**2).\nAnswer: -228*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 - 1.5. Let d = 1.1000068 + y. What is d rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142721*c - 142721*c + 92096*c**3.\nAnswer: 92096*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**4 + 127332*k**3 + 1351247178*k**2 + 2702112372*k + 1350992523 = 0?\nAnswer: -21221, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 37*v**2 + 2*v + 1517. Determine d(-38).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1147 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1 + (-10)\/(-3 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 5. Let r = 25816 - 25811. Put 3, 2, h, r in ascending order.\nAnswer: h, 2, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 17*d - s, -20*d - 5*s = -25*d + 65 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35806 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-59)\/(-4) + (-30)\/40. Suppose -10*d + v*d = 484. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 142 = 3*x - 5*m, -4*x - 4*m + 200 = 0. Suppose 2*i + x = 3*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -344 - -335. Let p(m) = 3*m**2 - m - 5. Let v(k) = 13*k**2 - 4*k - 20. Let j(z) = z**2 - 4*z - 3. Let y be j(5). Calculate n*p(c) + y*v(c).\nAnswer: -c**2 + c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 4*g - 4, -g + c = 3*g + 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dude when four letters picked without replacement from eumedeeed?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*l - 484 - 1181 = 0. Let h = l - -89. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 0.3, -72, -1\/4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**3 - 2*c**2 - 160*c + 7921 with respect to c.\nAnswer: 6*c**2 - 4*c - 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1135667 (base 9) to base 11.\nAnswer: 38a644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**2\/9 - 146*i\/9 + 100\/3 = 0. Calculate i.\nAnswer: -75, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2. Let m = 0.008 + z. Let s = -0.00800082 + m. What is s rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmppmmpmmmmmpmp. What is prob of picking 1 p and 1 m?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*q + 4*k - 5, -3 = -3*k. Suppose 5*w - 2*c + 1 = -9, w - c + 5 = q. Suppose 3*n - 42 = -w*n. What is the smallest common multiple of n and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from ffgfgfg.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 869*l**4\/12 - 3443*l**2. Let m(v) = v**2. What is n(m(r))?\nAnswer: 1738*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-3) - (-10)\/15. Suppose 2*s = 1 + g. Let o = s - -11. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 10*r**2 + 45*r. Let n(q) = 9*q**2 + 47*q. Let d(f) = -5*n(f) + 4*y(f). Determine j, given that d(j) = 0.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 5*q - 8. Let f be c(6). Let r = 5 + f. Suppose -r*v + 3*g = -162, -2*g + 160 = 3*v - 3*g. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11 + (-2544)\/(-132) - 6 and 37\/20 + (-2)\/(-5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 157209*h. Let g(k) = -2*k**2. Determine z(g(a)).\nAnswer: 4*a**4 + 314418*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, -1378, -4531, -9328, -15769?\nAnswer: -23854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/27 (b) -194 (c) -1 (d) 0 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 2*a + q, 0 = -6*q - 19899 + 19887 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4331392985?\nAnswer: 5, 71, 241, 50627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6111998?\nAnswer: 2, 73, 41863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + -0.2. Let l = -0.02 - 0.03. Let p = l - -3.05. Put f, p, 1\/4 in increasing order.\nAnswer: f, 1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**2 + 3*r + 5. Let s(a) = -4 + 5*a**2 - 3 + 1 + 0*a**2 - 4*a. Let w = 2266 - 2259. Determine w*g(l) + 6*s(l).\nAnswer: 2*l**2 - 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 15*q**2 + 139 - 2*q - 22*q**2 - 138 + 20*q**2. Suppose 3*z + 0*z = 0. Let d = z - -1. Determine m(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/47 and -1\/8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-215*q**2 - 3*q**2 - 39*q**2 + (-q - 3*q + 3*q)*(6*q + 0*q - 5*q))*(-9 - 4 + 11) in the form w + r*q + p*q**2 and give p.\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w**2 - 2*w + 11. Let u be x(13). Round u to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r - 3. Let x be j(5). Suppose -x*c + 6*c = 0. Find the third derivative of c*i**4 + 0*i**2 - i**2 + 5*i**4 wrt i.\nAnswer: 120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010110101101101001 + -1001100?\nAnswer: 1010110101100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70720*c + 1995 = -70705*c for c.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mum when three letters picked without replacement from mlmummul.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 152 = -4*h. Let c be 3*h\/54 - 4\/18. Suppose -39 - 4 = -c*k - 5*a, 3*a = -4*k + 45. What is the lowest common multiple of 18 and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2\/11 - 120*p\/11 = 0. What is p?\nAnswer: 0, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3223 + 0.3231. Which is the smallest value? (a) t (b) 0.2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 19*y - 53. What is b(13)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 743 (b) 3\/4 (c) -0.2 (d) 10\/7 (e) -9\/7 (f) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 = 11*j - 10*j. Is 0 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 15) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 330654 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18 - 2b2?\nAnswer: -2ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 9637*b**2 + 38540*b + 52. What is m(-4)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 2*a + 11 = 2*w, 2*w = 2*a + 8. Differentiate -1 + 3*d + 2*d**2 + 0*d - w*d with respect to d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -208 - -209.96. Let d = -2.04 - m. What is the nearest to 4 in 5, d, 2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 226917 and 504260.\nAnswer: 4538340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -14 + 4. Sort -1, w, 10, 4.\nAnswer: -1, w, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4401*g + 5. Let u = 6 - -1. Let p = u + -2. Let f be j(p). What is f rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -26*v - 9. What is the hundreds digit of j(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -10. Let c be 2408\/49 - (-1)\/(-7). Let l = c - 25. Calculate the highest common divisor of l and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-396)\/5148)\/((-22)\/130))\/1?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1175 and 15181.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0084031 to 5 dps.\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 911626326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 8*b**4 + 6*b**3 + b**2 - 6*b + 6. Let a(s) = s + 1 - 161*s**3 - 2 + 160*s**3. Let c(f) = 6*a(f) + r(f). What is the third derivative of c(l) wrt l?\nAnswer: 192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3876*o**3 + 2891*o**3 + 4121*o**3 + 4784*o**3 - 2641*o**2 - 12010*o**3 wrt o?\nAnswer: 21972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*g - 4*s - 220 = -31*g - 17*g, -2*g - 4*s = 3*g + 55 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fsfs when four letters picked without replacement from fsfsssss.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 5*c**2 - 9*c + 1. Calculate p(5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 0.2272?\nAnswer: 5.2272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - 3*x**2 - 3*x**2)*(1 + 4 - 3)*(-x**2 + 0*x**2 - x**2 + (-3*x + 0*x + 4*x)*(x - 2 + 2) - 2*x**2 + 2*x**2 - 3*x**2).\nAnswer: 48*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 + 0)*(-1 + 3 + 4 + (4 - 2 + 0)*(-2 - 1 + 2))*(q**2 + 42*q**2 + 4*q**2) to the form s*q**2 + d*q + r and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 3:43 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 469026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**2 - 5*l\/2 + 1\/2 = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 28. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*x**5 - 47*x**4 + 14*x**3 + 92*x**2 + 24*x = 0. Calculate x.\nAnswer: -1, -2\/7, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-17)\/q*q)\/q**(-5)*(q*((q*q\/(q**(-6\/7)\/q))\/q)\/q)\/(q**(-5)\/q) assuming q is positive.\nAnswer: q**(-22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwbbbbb. What is prob of sequence bw?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*p - 65*p - 121 = -d, -2*d - 5*p = -228. Calculate the highest common factor of 1547 and d.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -479 and -0.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/5096 and 9\/13864448?\nAnswer: 679357952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + 4. Let r = -3 + l. Find the second derivative of 2*i + 3*i**3 - i**3 + r*i**3 + 7*i wrt i.\nAnswer: 78*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1.75, 2, 1.8, -2\/17?\nAnswer: 1.75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-22))\/((-15)\/(-20)). Suppose 0 = -2*k - g - 2 - 0, -5*k + 5*g - 5 = 0. Let x be 2 - (k + -4 - -2). Sort -0.3, c, x in ascending order.\nAnswer: -0.3, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 257\/522 + 2\/261. Let g = 0.1 - 1.1. Which is the closest to 1? (a) x (b) -0.1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4256 + 4258. Solve 12*g = 16*g + 5*n - 16, 0 = -5*g + s*n - 13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*j - 306 = 0, -3*o = 2*j - 523 + 80. What is the second derivative of -14*y**4 - 142 + 291 - y - o wrt y?\nAnswer: -168*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 100, -3, 0 in decreasing order.\nAnswer: 100, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-4)*1*(-42 - -42) - 1. Sort 0, -2, -13, 5, x.\nAnswer: -13, -2, x, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (61*z + 74*z - 157*z)*(0 + 3 - 2 + (-3 - 4 + 4)*(-3 + 2 - 1)) to the form h + a*z and give a.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 11:16 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 5*g**4 - 100*g**3 - 335*g**2 - 230*g = 0?\nAnswer: -2, -1, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 5*j**2 + 2*j + 2. Let q be o(3). Let r = q + 7. Let t = -0.29 - 0.21. Put t, r, 2 in descending order.\nAnswer: 2, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -22*g**3 + 4*g**2 + 10*g + 2. Let j(h) = -22*h**3 + 5*h**2 + 14*h + 3. Calculate -3*j(b) + 4*k(b).\nAnswer: -22*b**3 + b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 138\/1771*33*3*4\/36\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/18 - 26157\/(-7875). Let p = -61\/125 - a. Let c = p - -15\/7. Is -0.21 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -58*r + 8. Let c be (-3)\/(2\/((-28)\/6)). Suppose 2*m - c*m - 25 = 0. Is s(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 30. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 14) in base 6?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 79884.\nAnswer: -399420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -15*i**2 - i - 3. Give g(2).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000645626 to five decimal places.\nAnswer: 0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 201996 by -93.\nAnswer: -2172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47095.71 decades to years.\nAnswer: 470957.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + a + 2. Determine c(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2202731442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**5\/3 - 11788*d**4\/9 - 74332*d**3\/9 - 152372*d**2\/9 - 113240*d\/9 - 7808\/3 = 0.\nAnswer: -976, -3, -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1818 and 1111?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 15*u - 5*u + 924 = 0. What is the highest common divisor of 3157 and u?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -869, -10177, -5 in descending order.\nAnswer: -5, -869, -10177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3*20\/15)\/(-3)*3. Let w(f) = -2*f**3 - 6*f**2 - 4*f. Let y(a) = -a**2 - 4*a + 3*a + 0*a - a**3. What is m*y(l) - w(l)?\nAnswer: -2*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*r + 18. Let g(h) = h - 1. Let q(k) = -5*k + 4. Let u(m) = m - 7. Let j be u(6). Determine j*q(z) + r*g(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 7*f**2 + 2 + 7*f**2 - 16*f**2 - f**3 as b*f + l*f**3 + w*f**2 + k and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 - 39. Solve 0 = 4*f - 6 + 26, -z*f = -5*y + 40 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14499337 - 37913337. What is s rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18570090 divided by -281365\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -237 - -265. Are 31 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**3 + 343*j**2 + 7644*j + 12348 = 0. Calculate j.\nAnswer: -42, -7\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j\/(((j**(-1)\/j)\/j)\/j*j)))**(-8)\/(j**(-3\/2)*(j*j**(-2))\/j)*(j*j**(-3\/8))\/j*j\/j**(-2\/5)*j*(j**(-2\/3))**(2\/53) assuming j is positive.\nAnswer: j**(136739\/6360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 10*w - 2. Let a be j(9). What is the greatest common divisor of a and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -286 by 143.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 less than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -82 + 98. Suppose -p*n + 242 = -14*n. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1975413490?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*b + 3*x, b - 3*b - x = -9. Calculate the greatest common divisor of 10084 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4365819 and 459.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 66997188, 66997187, 66997186, 66997185, 66997184, 66997183?\n\"Answer: -n + 66997189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -21*h**2 - 2*h - 1. Let t be g(-1). Let j be (-4 - 14\/(-4))*t. Let c = j - -4. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.5 - 0.5. Let h = 0.45 + 0.05. Which is the biggest value? (a) o (b) h (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -67? (a) 71 (b) 2\/11 (c) -7 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6907?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 2 + 0)\/2. Suppose -4*f = f - 2*t + 13, r*t = -4*f + 4. Let s be (-9 + f)\/(1\/(-2)). Calculate the greatest common divisor of s and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3336780249 to the nearest integer?\nAnswer: 1494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + 0 + 8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 12:10 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 5:35 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o + 13. Let r be q(6). Let y(v) = 5*v**2 - 1. Give y(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1250663 take away 9.51?\nAnswer: -1250672.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3708 divided by -9.\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86467753?\nAnswer: 86467753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 82490 - -5360. What is y rounded to the nearest 1000?\nAnswer: 88000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s - 2*s**2 + 5*s + (-2*s - 1 + 1)*(-12 + 4*s + 12) - 1 + 1 + s**2.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 36. Let s be 94*(m\/4 + -1 + -3). Let r = s + 127. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*(sqrt(684) - sqrt(684)*1) - (5 + sqrt(209)\/(-2*sqrt(11)*6)).\nAnswer: -10 + sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 90 and 10\/11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 268*o + 137*o + 5 + 1 + 133*o.\nAnswer: 2*o + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000934151 to 7 dps.\nAnswer: 0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 - 32. Let x = 21875 + -21857. Let n(m) = 3*m**2 + 2*m - 1. Let c be n(1). Solve -4*f + p = 2*w, -2 = 3*w - c*f + x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -13. Suppose -f*c - 1100 = -2*c. What is the tens digit of ((-69)\/(-15) - 5)*c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240615.7 nanograms to grams.\nAnswer: 0.0002406157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**6\/60 - w**4\/8 - w**3\/6 - 9959*w**2. Let m(f) = -5*f**3 - 9*f - 3. Suppose u + 5 = 2. Give u*m(h) + 8*a(h).\nAnswer: -h**3 + 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert b774a9 (base 13) to base 6.\nAnswer: 232101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -180 + 836.08. Let v = o - 670. Let p = v - -14. Which is greater: -1\/2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0247 - 0.02709. What is m rounded to four dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 20700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -106 - (-3 - -3 - (5 - (6 + 0 + -14))).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + (-4)\/(-5))\/(24\/30). Let j(c) = -c + 2. Let i be j(-2). Let d = -0.31 - -0.21. What is the second biggest value in i, g, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*j = 178*j - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + sqrt(99)\/(sqrt(900) - (sqrt(900)*-2 - sqrt(900) - sqrt(900))).\nAnswer: sqrt(11)\/50 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {a: 1, i: 2, c: 6, b: 1, l: 5}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -283 != -1553?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-7))\/(3\/14)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-2)*4\/16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2717*b + 2720*b + 90 = -42*w, 0 = 2*b + w - 21 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 719166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229 + 2230 = 3*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2 - 1. Let y be x(-1). Suppose -12 = -y*u - 4. Suppose -5*v - 3*t = -34 - 24, -v - u*t = 2. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 - 26*m**2 + 4. Let o be d(-13). Suppose 0 = 3*k - 5*h + h - 10, -h + 3 = 2*k. Let u = -3 - -3.4. What is the second biggest value in o, k, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o - 10. Let u be b(-10). Let t be u\/(-70)*14\/(-4). Let n(w) = w**3 - 5*w**2 - 2*w + 5. Let r be n(5). What is the nearest to -0.1 in t, -0.2, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*r + 0 + 1 - 2*r - 1 + (r + 0 + 0)*(3 - 2 - 3) - 36 - 291*r + 142*r + 148*r.\nAnswer: -3*r - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -1\/7, 52289951?\nAnswer: 52289951","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-158))\/((-46289)\/89191).\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3040294 is divided by 292.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3679886 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 11335, -4, 89.\nAnswer: -9, -4, 89, 11335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28939?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 d when three letters picked without replacement from {j: 3, x: 2, w: 3, g: 4, d: 4, s: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r - 5. Give q(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -42273189.\nAnswer: -2\/42273189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/63 and -103\/2114?\nAnswer: 19026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/295 or 4?\nAnswer: -2\/295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 73 = -29. Which is smaller: 10 or f?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197459644?\nAnswer: 2, 49364911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2. Let z(p) be the first derivative of 3*p**2 - 18. Determine z(q(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 396767\nAnswer: -198383.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*o + 4*o + 24. Let c = -4 + o. Is 6 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5842638 rounded to the nearest one thousand?\nAnswer: -5843000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(2*(-4)\/(-4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11157 is divided by 87?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a factor of 38847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 439*v**2 - 23544 + 23546 + 1371*v**2 + (2 + 1 - 2)*(0 - 2*v**2 + 0) - v**2 + 3*v**2 - v**2.\nAnswer: 1809*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -6*a - 6. Let q(i) = 1. Let p(x) = 7*x - 293. Let u be p(41). What is u*q(w) - k(w)?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -8, -2*j + 5*f = -1 - 15. What is the closest to -0.4 in -0.4, -5, j, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 900138 + 900134 + 900135 + 16*x**2 - 2700407.\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56050 and 5541280.\nAnswer: 526421600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/191, 1\/3, -2\/9 in descending order.\nAnswer: 1\/3, 1\/191, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 35 + 36 = c, -2*c - 6 = -2*o + 4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48.85 - -48. Put 2, 0.1, i, -0.2 in ascending order.\nAnswer: i, -0.2, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 49. Let o = -19 + r. Let u be 10\/1*2\/4. Solve u*z - o = 0, -3*z = 4*b - z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 16*n**3 - 19*n**2 - 5*n + 2. Let u be p(2). Sort 4\/3, u, -2 in decreasing order.\nAnswer: u, 4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 3*o**2 + 4*o + 3. Let g be i(-4). Let n = g - 10. Is (n\/4)\/((-2)\/8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 842936664?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-3))\/((-4)\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 194483531 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*z**2 - 47*z**2 + 24*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 2. Find the second derivative of 14*u + 12*u + 11*u + 33*u**m wrt u.\nAnswer: 396*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(1\/3))**(-5)\/(a\/(a*a\/(a*a*a**13*a*a))*a*a**(-5)))**13)**11 assuming a is positive.\nAnswer: a**(-5863\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162252293 divided by -35021.\nAnswer: -4633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488 is divided by 98?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uqooouqojquuuoouuoqu. What is prob of sequence qquu?\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00045614715 to 7 dps.\nAnswer: -0.0004561","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 348147.1 years to decades.\nAnswer: 34814.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72699?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 8758670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -418111 + -171889. Round p to the nearest 10000.\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.1 - -2.6. Let m = -499 - -509.54. Let a = m + l. What is a rounded to one dp?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13930?\nAnswer: 2, 5, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azu when three letters picked without replacement from azazazzuaaz?\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -157*v + 2. Let b(d) = d - 28. Let s be b(17). Let g be (9 + s)\/(1 - -1). Is r(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -9*r**3 + 7. Let t(y) = 4*y**3 - 3. Suppose -3 + 18 = -3*u, -5*p - 2*u = -5. Give p*w(q) + 7*t(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -123230200011 (base 4) to base 15\nAnswer: -986260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f + 3*f + 40 = 4*d, -16*d + 2*f = 32*d - 480 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, -2\/11, -3, -7, 0.25.\nAnswer: -89, -7, -3, -2\/11, 0.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 7*n**2 + 4*n + 6. Let z = -18 - -27. Let d be a(z). What are the prime factors of (d\/(-25))\/((-1)\/(-5))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1229511806?\nAnswer: 2, 614755903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 6:53 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3*sqrt(66) + sqrt(66) - sqrt(66)) + (sqrt(66) + 2*-3*sqrt(66) - sqrt(66)))\/(((-1*sqrt(108))\/sqrt(9))\/(sqrt(24)\/(1*sqrt(12)))).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*17 + 173 + -173?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -268\/987 + -2\/141. Suppose 0 = -5*m + 36 - 11. Which is the closest to h? (a) 4 (b) m (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15815.\nAnswer: 5, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 111975386*y**3 - 4*y**2 - 3*y - 204744?\nAnswer: 671852316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18932.69 rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8208)\/(1008\/14)*(-2)\/(-6).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.10036kg in milligrams?\nAnswer: 4100360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - w - 2. Let k be -16*2\/(w + -2). What is the tens digit of (0 - -2)\/1 + k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -262*p**5\/11 + 63400*p**4\/11 + 1256210*p**3\/11 - 7566260*p**2\/11 + 6151232*p\/11 + 95680\/11 = 0. Calculate p.\nAnswer: -23, -2\/131, 1, 4, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-691*h - 1804*h + 150*h)*(1 + 3 - 2) + (3*h - 4*h + 2*h)*(-1 + 1 - 6) + (4 - 3 - 3)*(2 - 2 - h) in the form t*h + p and give t.\nAnswer: -4694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 192977.6cm?\nAnswer: 1.929776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.05 + -3. Suppose 63 + 27 = 18*i. Which is the nearest to 0.1? (a) d (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4662 and 12432.\nAnswer: 37296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*q - 10*q = 1914 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/5)\/(3\/15). Suppose -2*j = v*j - 336. Let o(h) = h**2 - 84 + 4*h + j. Calculate o(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4 = -2*l, 9*j - 4*j = 4*l + 14. Let g(w) = -521*w**2 - 2*w - 2. Let q(r) = 521*r**2 + r + 1. Let z(i) = 2*g(i) + 3*q(i). Is z(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 26*i**2 - 1. Suppose -z = p - 0*z + 3, 5*p - z = 9. List the prime factors of g(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/60 - (-2 - -1). Let t = i + -7\/5. Do t and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 7:19 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.32, -4, -9, 2 in descending order.\nAnswer: 2, 0.32, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lu when two letters picked without replacement from {u: 2, b: 1, l: 2, z: 4}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -17. Let g = 8 - y. Let o be (-18)\/6 - g*-1. Solve -5*b - 8 = o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44159 + 63994. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 808 and 8872?\nAnswer: 896072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*x)*(5*x - 3*x - 5*x) + (-2*x**2 - 1 + 1)*(-3 - 1 + 2) - 1 - 2*x**2 + 1.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 250, 445, 640, 829, 1006?\n\"Answer: -a**3 + 6*a**2 + 184*a + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*m**3*v**2 + 764114*m**3*v - 22576*m**2*v + 64*v**2 wrt m.\nAnswer: 114*v**2 + 4584684*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 1\/867 (c) 310\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*5)**2*1.\nAnswer: 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000001082249963 to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*k - 100 - 221, 4*k = 5*q - 1617. Is 325 not equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -25*y**2. Let z(v) = -v - 1. Let g(x) = 30*x - 3. Let k(s) = -g(s) + 3*z(s). Give k(i(u)).\nAnswer: 825*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s**1\/s*s)\/s)\/s)\/s)**(-9)*((s\/s**(2\/3))\/s)**50)**(8\/9) assuming s is positive.\nAnswer: s**(-368\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -1084200*x + 26. Let g(t) = -t. Calculate u(g(c)).\nAnswer: 1084200*c + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -2\/24215 (b) 1\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -95 (base 10) to base 15.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 24 - 8*d + 2\/3*d**2 = 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 5*z**2 + 11*z - 36. Let p be f(5). Suppose -p - 6 = 5*t. Let u(q) = -q**2 - 5*q - 6. Determine u(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o**5 - 5*o**5 + 4*o**5 + 3*o**5 + 4*o**5 - 3*o**5 + (0 + 0 + 1)*(3*o**5 + o**5 - 3*o**5).\nAnswer: 9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 355 + -310. What is the smallest common multiple of x and 54?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q + q - 33 + 55)*(-q**2 + 6*q**2 + q**2) to w*q**2 + l*q + x*q**3 + z and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19100 + 159359 = -4657*a - 58906 - 47656 for a.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -864 or 0?\nAnswer: -864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a microsecond in nanoseconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.5887m to centimeters.\nAnswer: 8158.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 3009958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9672 + -3?\nAnswer: -9675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - m + 583 = 0, m - 231 = 4*y - 1406. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633831946 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000435533 rounded to five decimal places?\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + t. Suppose -2*l = -5*l - 15. Is 8 a factor of s(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 33, -1, 5 in descending order.\nAnswer: 33, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 g when two letters picked without replacement from kokg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/13 (b) 134421 (c) -3 (d) -0.15 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-8\/3))\/(i**(3\/7)\/i))\/(i**29\/i**(-1\/9)) assuming i is positive.\nAnswer: i**(-1903\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*y = 193*y + 16*y - 577854. Let j be 2\/6 + 7448\/(-6). Let t = j + y. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1806, -1807, -1808, -1809, -1810, -1811?\nAnswer: -1812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/9)\/2 - (-342393)\/27. Suppose -1634 - v = -5*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -32*k - 5. Let f(b) = 11*b + 2. Suppose 3*a + 2*p = 86, 2*a - 2*p + 146 = 7*a. Let s(h) = h - 27. Let d be s(a). Determine d*w(r) + 8*f(r).\nAnswer: -8*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 290 and 2436.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/4*(8 + (-15 - -5)). What is the nearest to j in -14, 0.2, 2\/7, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + k = 8175, -6*g = -10*g - 3*k + 8165. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 204 from 1130.\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -244.9 (b) 1 (c) -0.2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 870*k*l + 2187*k - l wrt l?\nAnswer: 870*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 293096\/2275 at least 128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/9 - 2221\/(-9). Let o be (-67 - -76) + (-20)\/1 - -37. What is the highest common factor of n and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 6:04 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 499520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**3 + 2*x**3 + 4*x**3 + (-x**2 - 4 + 4)*(-6*x - x + x))*(4536*x + 27*x**2 - 4536*x + 2).\nAnswer: 189*x**5 + 14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(96)\/sqrt(2))\/sqrt(3))\/((sqrt(8) + sqrt(40)\/sqrt(5) - sqrt(8))*-3) + 0)**2.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55378259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyycycyyy. Give prob of sequence yycc.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((0 + -5 + 2*(0 + 1 + sqrt(72)))*1)**2*-2.\nAnswer: -1188 + 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 68*o - 1. Let k be u(1). Let f = 121 - k. Suppose y - 16 = 5*y, -4*y + 3 = c. Calculate the remainder when f is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 110.21 - 111. Let d = h - -0.806. Round d to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 99 + -64. Suppose -5*a + z + i = 0, -6*z = -5*a - z + 55. Suppose -41 = -3*l - 2*g, 2*l + 55 = a*l + 3*g. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, x: 1, t: 1, p: 1, c: 1}. Give prob of sequence ct.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*d - 87 = 7*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*z + 5. Let y be 2\/(z*2)*-6. Suppose -5*g + 25 - 5 = 0. Solve 5*q + 4 = 4*c, -2*q + g*c - y = 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2456 = 378*z - 33*z + 3228 + 181 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 3. Let b be 12 + (2 - 3)*1. What is the units digit of s(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 - 16*p**2 + 107*p**3 + 79*p**3 - 147*p**3 - 2 to r*p + c + h*p**3 + x*p**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (3 + (4 - 5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.04 (c) 0.4 (d) 4 (e) -18\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4779 + -4779. What is the biggest value in 50\/41, -1\/2, 1\/3, w?\nAnswer: 50\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6295709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 40 = 2*d. Let f(v) = v + 3. Let r(p) = 2*p + 5. Let a(x) = -5*f(x) + 2*r(x). Let w(c) = 4*c + 16. What is d*a(s) - 3*w(s)?\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, e: 1, d: 4, p: 4, m: 2, g: 2}. Give prob of picking 1 f, 1 d, and 1 g.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.018388 and -5?\nAnswer: -0.09194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4221 rounded to one dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + 1*-2*sqrt(7))*-3)**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 8:55 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 2:06 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 6*b + 2. Let p = 61 + 110. Let o = p - 165. Determine t(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29 and 54818613.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 1 + 2*i**2 + 3*i**2 - 6*i**2 - 2*i**3 to k + c*i + u*i**3 + x*i**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 4*o + 10. Let w be f(-7). Let a(j) = j**2 + 10*j - 11. Let h be a(w). Solve h*p - 4 = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.78 + -0.48. What is i rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4101141 (base 6) to base 14\nAnswer: -50d37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 216507\/17 greater than or equal to 12736?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -88\/441 and 109\/94006304.\nAnswer: 846056736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - 6\/(-3) - -1. Let u = -147 - -164. Solve h*d - d + 19 = -3*k, -5*k - 2*d = u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 4*w + 2. Let x = -56 - -59. Give b(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/10)\/3*12\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23297?\nAnswer: 23297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lwl when three letters picked without replacement from lwcwlxlwxwlc.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130745?\nAnswer: 5, 79, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52425 and 36424890?\nAnswer: 182124450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2186*r**3 + 4*r - 2182*r**3 - 4*r.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 29 + f + 15)*(-4*f + 5*f + f).\nAnswer: 2*f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = k - 12, -5*b + 2*k + 12 = -9*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 + 10*m**3 + 276*m**2 + 518*m + 253.\nAnswer: -(m - 23)*(m + 1)**2*(m + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 480142 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/214 and 21\/10492.\nAnswer: 1122644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q\/(q*q*q**(1\/13))*q\/(q*q**(-3\/2)))**(1\/20)*((((q*(q\/(q*q**(-1\/5)\/q*q)*q)\/q)\/q)\/q*q)\/q)**17*q**3*(q**2\/q)\/q assuming q is positive.\nAnswer: q**(-5423\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/5499 + -346337\/109980. Calculate the common denominator of y and -87\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 5:26 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*c - 428 + 47 - 14*c - 234.\nAnswer: 274*c - 615","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -a1a413 (base 13) to base 8\nAnswer: -16267671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 660 + 4430. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -2\/5*z**3 + 0 + 3*z - 13\/60*z**4 - 1\/150*z**6 - 2\/5*z**2 - 3\/50*z**5. Factor n(m).\nAnswer: -(m + 1)**2*(m + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*c**2 + 17549 + 17546 + 11*c**3 - 35098 + 3*c as x + a*c**3 + t*c**2 + j*c and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4472112 divided by -16.\nAnswer: -279507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -0*o - 2*o. Suppose 2*b + 0 = 3*r + 28, 0 = -2*b - 2*r + o. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4012)\/68 - (-32 - 23).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*q + 3 = -92*q, 5*h + q + 1393503 = 0. What is h rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1393708*b - 2787403*b - 103*b**2 + 1393695*b + 96*b**2.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165 and 98670.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*k**4*u*w + 114*k**3*w - 11*k**2*u*w - 2*k**2*u + k**2*w - 2*u wrt k.\nAnswer: -120*k*u*w + 684*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 59*i**2 - 42*i - 4. Let s(q) = 42*q**2 - 29*q - 3. What is -7*j(t) + 10*s(t)?\nAnswer: 7*t**2 + 4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*k - 11 = 5, 5*v = 4*k + 96. What is the second derivative of -116*b + 174*b + v*b**2 + 28*b**2 wrt b?\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -3*j - 3, -4*j + 2*j = -4*y - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38388.\nAnswer: 2, 3, 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*r + 2, -2*r - 3*z + 4 = 1. Solve 8*h - 3*h = r for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -121818 and -0.91 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306 = 135*w - 1116 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x - 227 - 5911 = 0. Let l = -87 - x. What is the smallest common multiple of l and 28?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/10)\/(27*5\/75)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1534*f + 1684*f - 45 + 92 + 4*f**2 - 48 - f**3 in the form d + a*f + b*f**2 + k*f**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -14*l - 27 - 21*l - 3*l + 62. Let x be v(9). Is (x\/2)\/(-1)*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -1)\/((-2)\/(-2086496)). Let i = v + -135621567\/130. Let f = i + -66\/13. What is the common denominator of 43\/16 and f?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 550*v - 547*v - d + 32, v + 7 = 4*d for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 15*c + 49. Let h be a(9). What are the prime factors of (-1453)\/h - 16\/(-40)?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/1 - 0\/7. Suppose -4*f + 10 = f. Suppose o = -f*i - i + 21. Calculate the lowest common multiple of i and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/363 and -53\/729.\nAnswer: 88209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336290*l + 5088 = 336306*l. What is the greatest common divisor of 11024 and l?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2191712687 is divided by 1089.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d - 6 = 3*f, 5*d + 13 = -4*f. Suppose -f = a + 6. Is -1 + 3\/(a\/(-96)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 28392108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-98 + 41 + 51).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3 = -5, 3*y - 118 = -2*v. Suppose -g + 15 = -t, 6*g - 2*g - 2*t = v. Suppose 4*m = -0*a - 4*a + 140, -4*m = -g. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 46*j - 50*j + r, 3*j + 3*r = 0. Let d(y) = -y**2 + 2*y - 1. Give d(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 33 = g, -13*g - 55 = -5*k - 8*g for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 353 = 11. Let a = t + 347. Suppose -4*l - 45 = -a. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (12\/3 - -2). Suppose w*y - 9*y = 160. List the prime factors of -1 + 0 - (0 + y).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 5, -21 in increasing order.\nAnswer: -21, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 8*n - 6. Let c be j(-7). Suppose 0 = o + c, w + 7 = -3*o - 0. Let r(k) = -6*k + 2. Let p(y) = -7*y + 3. Determine w*p(f) + 5*r(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 38*j**4 + 42*j. Let i(f) = 39*f**4 + 41*f. Suppose 0 = -6*c - 34 + 46. Let b(o) = c*w(o) - 3*i(o). Find the second derivative of b(l) wrt l.\nAnswer: -492*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**3 + 143602*g**2 - 6172947*g - 12920310 = 0?\nAnswer: -2, 45, 143559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - z - 8397 = 0, 0 = -4*p + 3*z + 6397 + 2002. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 8*x**2 - 15*x + 5. Suppose 32 = -4*w - 2*s, w + 35 = -10*s + 5*s. Determine p(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*1*9\/(-6). Let q be (-1 + h)\/(4 + -5). Solve 3*z = -2*c + 5, 2*z - q*z - 5*c = 4 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*c = 0, -9*o + 5*o - 5*c = 0. Suppose o = -4*v - 2*j + 74, 4*j - 6*j + 11 = v. Solve 5*q - 9 = m + v, -4*q + 40 = -4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.305837 take away 1?\nAnswer: -0.694163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**3 + 191*n**2 + 102*n - 855. What is v(96)?\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/15 of a hour?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 7. Let s = -1 - -8. What is the remainder when k - (2 + -3 - 16) is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {t: 5, d: 7}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*f - 320 = 6*f. Let j = 31\/4 + -63\/8. Which is the second biggest value? (a) f (b) 0 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*s + 480 = 142*s - 60*s for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*z + 616 = 0, -y - 115 = -2*z + 34. What is the tens digit of y*(-4 + 1) + 3*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -528 + 543. Let o be ((-48)\/(-18))\/8*x. Solve 0 = k + 4*s + 5, -o = 3*k + 2*s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247706087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, d: 2, c: 4, n: 1, f: 7, t: 3}. What is prob of picking 1 t, 1 f, and 1 c?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 21244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 9365654832 to the nearest one million.\nAnswer: 9366000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -2. Suppose 0 = u*c - 5*c + 33. Suppose -2 = 4*d + 2, -c = -4*a - d. Put -2, a, -4 in ascending order.\nAnswer: -4, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36800 and 4048.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -47\/98?\nAnswer: -47\/98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -534 - -1895. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -393*l + 267. What is the remainder when m(-2) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*w**2 - 2)*(8181 - 8209 - 52*w + 93*w) to the form l*w + i*w**3 + s + q*w**2 and give q.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -1. Let o(m) = 9*m + 4. Let r be (-3)\/(-15)*(-140)\/56*4. Let a be (8\/12)\/(2\/(-3)). Give a*o(n) + r*h(n).\nAnswer: -9*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 74778 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 7:57 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.25, -4\/5, -0.17, -1\/7 in decreasing order.\nAnswer: -1\/7, -0.17, -4\/5, -1.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = a - 43, 32 = -2*a - 4*j + 108. Let y be (4 + -3)\/(1840\/615 - 3). Let z = -75 - y. Is z >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268749973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - 2. Let w be n(-1). Let r be (-3 + 1 + 2)*w\/(-1). Suppose 3*l + 14 - 1181 = r. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 324, 24, -160, -2 in increasing order.\nAnswer: -160, -2, -1, 4, 24, 324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 - -55. Suppose b*l = 4*l + 50. What is the highest common factor of l and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.1, -0.324, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 400833?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/10 and -27\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -302 - -25?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 96175129\nAnswer: -28852538.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 7:10 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.23 times 1.88561\nAnswer: 2.3193003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 332 = -2*g, -3*g - 568 = -5*j + g. Let k = j + -95. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*i - 62 + 2. Let h be i - -1 - -14*1. Which is the smallest value? (a) 2\/3 (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/20)\/((-283)\/(-4245))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1206 and 44.\nAnswer: 26532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10687, 10686, 10687, 10690, 10695, 10702, 10711?\n\"Answer: l**2 - 4*l + 10690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1955571.92992 - -1955988. Let r = -416 + z. Let w = r + -0.07. Round w to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168 divided by -122.\nAnswer: 84\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-19)*g)\/(g\/(g\/(g\/(g\/(((g*(g\/((g\/(g**(-4)\/g)*g)\/g))\/g)\/g)\/g))))) assuming g is positive.\nAnswer: g**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45703, 45702, 45701, 45700?\nAnswer: 45699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 256.8\nAnswer: -77.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 - 9*z - 30 + z to the form x*z + h and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g. Let y = -40 - -42. Let i(l) = l - 3*l - 40*l**2 + y*l. Calculate i(d(q)).\nAnswer: -160*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 83, 137, 201, 275, 359?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 53*r**2 - 36*r - 76. What is the remainder when 423 is divided by p(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 340400 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 - 2 - 4*d - d + 6*d to x*d**2 + h + k*d and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-236 - (66 - -69))*4\/28.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16998 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 2 + (12 - 3). Let z(w) be the first derivative of -w**3\/3 + 5*w**2 - 3*w - 1. Let o be z(y). Solve 7*p = 4*p + o for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -4*p + 5*o - 19, -p = -5*o + 24. Let d = -6 - p. Sort -1, d, 5 in ascending order.\nAnswer: d, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12633 + 11615.3. Round a to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.89 and 2.3.\nAnswer: -2.047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 153 = -27. Suppose n*x - 533 = 583. Is x a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 274590 divided by -2.\nAnswer: -137295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177900*b**3 - 177933*b**3 + 355800*b**3.\nAnswer: -33*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -9*36304\nAnswer: -326736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 26*n - 667. Let v be 63\/6*4\/3. Calculate the remainder when v - (-2 + -1 + 1) is divided by q(26).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7290 rounded to the nearest one hundred?\nAnswer: -7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -2. Let b be 30\/(-20)*(-12)\/6. Suppose 0 = k - l, 0*f - 4*k = -b*f + 58. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 25026789?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-33)\/(-15) + -2). Suppose 2*r - 33 - 29 = 4*h, r - m*h - 43 = 0. Solve 4*q + 3*x - r = 2*q, -5*x + 9 = -4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0415*0.0089.\nAnswer: -0.00036935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -57\/4 + 27\/2*l + 3\/4*l**2.\nAnswer: 3*(l - 1)*(l + 19)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4782 and 14181021.\nAnswer: 2391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3518 - -13683. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 = 12. Let b be 640\/36 - o\/18. Let r = b + -8. Solve r = 5*z - 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 21 = 5*l, -l - 3*y - 5 - 3 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 7*p**2 - 7*p - 8. Let h be q(-6). Let a = -7737 + 7736. Sort 2, a, h in ascending order.\nAnswer: h, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 0)\/(12\/6). Suppose 2*z + 0*z - 134 = y. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 380 - 380.4. Sort -10\/17, k, 0.5.\nAnswer: -10\/17, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9, k: 1, h: 7, a: 1}. Give prob of picking 1 k and 2 h.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 462727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*w**3 - w**2 + 3*w**2 + 0*w + 19*w**3 - 3*w - 2 to t*w**3 + i + f*w + p*w**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*b**3 - 15*b**2 + 35*b**3 - 12*b**3 - 25 - 12*b**3 - 45*b.\nAnswer: 5*(b - 5)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 - 3610*c - 651605.\nAnswer: -5*(c + 361)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s + 28. Does 28 divide v(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*z**2 + 2*z**2 - 18*z**2)*(1 + 2 - 7) + (-z + 0*z - 2*z)*(0*z - 2*z + 5*z) to the form i*z + f + c*z**2 and give c.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*r**2 + 514*r**2 - 248*r**2.\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-18235)\/(-10) + 2\/4 - (-2 - -1) is divided by 87?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*z + 7*z, -3*d - 5*z = -267. Is 23 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10020022 - -1?\nAnswer: 10020100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + (-5)\/(-10))\/(1\/10). Suppose 163 = j*v + 3*s, -3 + 5 = 2*s. What is the units digit of 1*(-1 - -3)*v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z + 71. Let f be s(21). Solve -f = -2*b - 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/15, -201.7, 15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 204088866457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 624786?\nAnswer: 2, 3, 101, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -326 - -330. Suppose 6*r - 5*r - 2*h = 636, 0 = -k*r + 4*h + 2560. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1287 - -1307. Solve 16*c - 8 = b*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*r**4*s**3 - r**4 + 7*r*s**3 - 2*r*s**2 - 2*r - 183*s wrt r?\nAnswer: -120*r**2*s**3 - 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -11, -20, -29?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.527 to 1 decimal place.\nAnswer: -11.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3463.07763 rounded to 1 dp?\nAnswer: 3463.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -20*r**3\/3 + 56*r**2 - 68*r + 56\/3 = 0.\nAnswer: 2\/5, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*k - 23. Suppose y = -2*n + 2, -3*y = -k*y - n + 10. Suppose -8*a + y*a + 78 = 0. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -2\/5, -7, -0.7, -4, 12.54?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * -17.575\nAnswer: -10.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80 + 479\/6. Suppose -4 = -4*n + 3*h - 5, -5*h - 10 = 5*n. Let l be (-13)\/(-35) - n\/5. Put -2\/7, l, p in increasing order.\nAnswer: -2\/7, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -360, -352, -322, -258, -148, 20, 258?\nAnswer: 578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1)*u*u)\/(u\/u**27))**(-4\/19) assuming u is positive.\nAnswer: u**(-112\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407812 is divided by 76.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 264743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of x**4\/4 + 7*x**3\/3 - 5*x**2 - 12*x - 1. Let b be z(-8). Let f = -8 - -5. Sort f, b, -1 in decreasing order.\nAnswer: b, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - -2 - 12\/(120\/(-50)). Suppose -c*z + 22 = -2*z - o, -2*z + 16 = 2*o. Solve -5*l = -q + z, l + 2 = 5*q - 2*q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304279301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1012? (a) -1\/4 (b) -0.5 (c) 3 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 0*c**2 + 8*c**2)*(0*c + 2*c - c)*(2*c + 2*c - 3*c).\nAnswer: 9*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -833366 + 26.43346\nAnswer: -833339.56654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 12. Suppose -5*d - 28 = 2. Let r(j) = -j**2 - 23*j + 4. Calculate the remainder when r(d) is divided by w(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 8. Suppose 0 = 2*j - 9 - 1. Let y be p(j). Solve -1\/2*t**y + 1\/2 - 3\/2*t + 3\/2*t**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, g: 5, r: 6}. Give prob of sequence frf.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*p + 45*p - 8*p**3 - 7*p**3 + 7*p.\nAnswer: -15*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -11. Suppose m*v + v + c = -3996, -5*v - 5008 = -2*c. What is v rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/3, -7, -3589, 4, 3, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from {q: 1, d: 1, t: 1, i: 2, a: 1, l: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 177 (b) -0.164 (c) 0.62 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -109 + 57. Let q = p - -56.2. What is q rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438393 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5631 (base 11) to base 16\nAnswer: -1cf7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3427*t + 3432*t + 13800 = 0. What is t rounded to the nearest ten?\nAnswer: -2760","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 14) in base 10?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence syy when three letters picked without replacement from ysssyyyyys.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-22) + 4958\/407. Which is the third smallest value? (a) -2\/3 (b) k (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172550 a multiple of 350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*v - 22, q - 39 = 5*v. Suppose 31*f - q*f = -44. Is f at least -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -6)*(4 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -572 by 44.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 310348 > 1551733\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 216, 0, -550, 1, -37 in increasing order.\nAnswer: -550, -37, 0, 1, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 + 0*x + 0*x + (2*x - 3*x - x)*(2*x**2 - x**3 - 2*x**2) + (-2*x**2 + 3*x**2 - 3*x**2)*(4*x**2 - x**2 - x**2) + 0*x + 0*x - x**4 - x**4 + 4 - 4.\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13\/4 - 11\/4. Let p = -0.43 + 1.53. Which is the smallest value? (a) -0.4 (b) p (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 826 and 295.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -27, 6, 2 in decreasing order.\nAnswer: 6, 2, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 x when four letters picked without replacement from xxzzzzzxxzxxzhhzzzz?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 606 divided by -606?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 3*a**2 + (-a - a + 0*a)*(9*a + 9*a - 7*a) + 3*a**2 + 0*a**2 - 4*a**2 - 63*a**2 + 83*a**2 - 47*a**2.\nAnswer: -47*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -4*i + 47247, -141*i + 137*i = 12. Is t a multiple of 267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6*t**2 + 20*t - 43. Does 26 divide g(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5807 * 119.732\nAnswer: 69.5283724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ioi when three letters picked without replacement from odododoidddddodiiiod?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19024667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 128 - 125. Let m be ((-76)\/12 - -3)*a\/2. Let y(x) = x + x**2 + 4*x**2 + 0*x**3 - 3 + x**3. Determine y(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32103 (base 4) to base 14\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15, 1, 0, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -0.34582.\nAnswer: -0.34582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: c4 (base 13) to base 6\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4366*n = 4421*n + 1485 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 403 (base 5) in base 12?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-58)\/174*(-6)\/4 - 3\/10\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3248 (base 12) to base 9.\nAnswer: -7522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4 - 11 + 2*h - 1 - 1. Calculate the remainder when 13 is divided by t(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -93 + 88. What is the closest to 1\/2 in 1\/5, 5\/7, y?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0.3, -0.3, -2\/13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a second in milliseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p - 5*p + p - 3. Let t be l(-4). Is t\/12*184\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.92501 decades in years?\nAnswer: 439.2501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**5 + v**4 + 1. Let p(m) = 10*m**4 - 5*m**3 - 5*m**2 + 5. Let f(x) = -5*g(x) + p(x). Factor f(c).\nAnswer: 5*c**2*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 9. Let h = 0.2 + d. Let r = h - 2.200022. Round r to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -36, -452, -1196, -2268?\n\"Answer: -164*c**2 + 76*c + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/10*6\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 544846 divided by -1\nAnswer: -544846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 3985983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.753863 and 24811867.\nAnswer: 24811867.753863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = 3*t - 22*t + 3*z, 58 = -3*t + 67*z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/2 + 1239*v**2 + 7512*v - 19968.\nAnswer: -3*(v - 832)*(v - 2)*(v + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + o = 6*o - 55, 51 = -5*n + 4*o. Let m be n\/(84\/16)*(-9)\/6. Let l be 3*(2406\/(-90) + m\/5). Which is smaller: l or 2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-61)\/183)\/(3\/3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f**2 - 10*f + 10. Let n(u) = 2*u**2 - 3*u + 3. Let o(v) = 6*d(v) - 20*n(v). Let h(l) = -4510*l - 4523*l + 9037*l. Give o(h(g)).\nAnswer: -64*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h**2 + 13*h - 12. Let b(y) = 4*y**2 - 12*y + 11. Let x(o) = 6*b(o) + 5*m(o). Let w be x(5). List the prime factors of (1\/(-2))\/(3\/w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(162) + 0 + 3 + -3 - (sqrt(162) + 2 + sqrt(162)*2 + sqrt(162) + sqrt(162) - (4 + sqrt(162) + 0 + sqrt(162) + sqrt(162))))**2.\nAnswer: -36*sqrt(2) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 63\/4. Let r = -5 + 3. Let m = -0.0486 - -2.0486. What is the closest to r in g, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3 + q - 6 - 3 - 17*q. What is the remainder when x(-2) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**3 + 4*u**2 + 3*u. Let w(q) = 3*q**3 - 3*q**2 - 3*q. Let a(b) = -3*n(b) - 4*w(b). Factor a(t).\nAnswer: -3*t*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7311.143ns in milliseconds?\nAnswer: 0.007311143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.9 - 1.62. Let s = -0.58 + q. Let r = 25.5 - 25. Which is the second biggest value? (a) r (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 3:49 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 1\/4, -13?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.00608 + 6.99392. Sort -21, s, -3\/7, -1 in ascending order.\nAnswer: -21, -1, -3\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 2 + 3)*(5*m + 0*m**3 + 6*m**3 - 7*m) to g*m**2 + h + z*m + v*m**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 u when two letters picked without replacement from alustuavstusvaa.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 24\/17 (b) 0 (c) 1\/3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from rrrrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-45)*4\/2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2c2 (base 16) to base 2\nAnswer: -1011000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2 - 5 - 4*a**2 + 1 + 2. Let y(z) = 4*z**2 + 3. Let w be 8 + 192\/(-40) + 1\/(-5). Give w*d(l) + 4*y(l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/(-3))\/8 + 310\/(-3). Let l = 25 + n. Let x = l - -113. What is the highest common factor of 85 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*y - 5*w + 17, 12 = 3*w. Let p be -27*(y + 4\/12). Let t be 19809\/15 + p\/15. What is t rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 6*x**2 - 3*x - 7. Let w be 15\/(-2)*(-12)\/(-18). Let d be (-1)\/w - 34\/(-5). What are the prime factors of t(d)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4*u**5 + 2416*u**4 + 19616*u**3 - 19200*u**2 - 235584*u + 352512 = 0.\nAnswer: -6, 2, 612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + -3)*3\/(-6)*-22. Solve 2*q = -x - n, x + q = -2*q - 16 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258261215252 - 258261215252 - k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -7*h + 82. Let t(m) = 17*m - 164. Calculate 9*i(o) + 4*t(o).\nAnswer: 5*o + 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 1. Let u = 23 - 22. Suppose -3*l - u = -k - 2, 4 = 2*l. Sort -3, m, k in descending order.\nAnswer: k, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 246400 + -321?\nAnswer: 246046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/5*l**3 - 4545*l + 489\/5*l**2 + 43875 = 0. What is l?\nAnswer: 13, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*b = -175*b + 2711 + 545 + 169 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 2*w - 3. Give x(-9).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2050666 + -4?\nAnswer: -2051003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 51*p + 55*p + 99632 = 0, -2*n = -3*p - 66419. What are the prime factors of n?\nAnswer: 2, 5, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + sqrt(1088) + (sqrt(272)*6 - (sqrt(255)\/sqrt(5))\/sqrt(3)))*-6.\nAnswer: -186*sqrt(17) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-1)\/x))\/(x\/(x\/(x\/x**(-1\/3))*x)))\/((x*x**(-2\/3))\/x)**(-2\/45) assuming x is positive.\nAnswer: x**(356\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2645.1592 rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by -5429.\nAnswer: -29\/5429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/18 and -199\/1710.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14 - 13)\/((-1)\/9). Let s(i) = -2*i**2 - 14*i + 42. Let h be s(g). Solve -5*p + 21 - h = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 358391, 1.1, -1\/6, 1\/10?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55.8 - 1.2. Let g = -3.15581 + 1.15581. What is the third smallest value in -3\/7, z, g?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -9*y + 44715. Is y\/45 + (-2)\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, m: 13}. Give prob of picking 3 w.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 547669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 41*q + 2. Let u be d(0). Solve u*g = -83 + 89 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6533262 or -6533267?\nAnswer: -6533262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -11. Is w + -3 - (-2 - 32) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1013121*q + 357 = 1013104*q for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4066 - -4?\nAnswer: -4062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4206401219?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 2:35 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2268)\/162*4\/(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1849753?\nAnswer: 17, 53, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7635 (b) 94 (c) 2\/7 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*40\/(-35))\/8*22?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 329*x**3 + 1270615*x**2 + 19772215*x wrt x?\nAnswer: 1974*x + 2541230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -16896*l + 169240. Calculate i(10).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26531.\nAnswer: 43, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5.5063 times 0.4\nAnswer: -2.20252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 3:04 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1154, 2245, 3336, 4427, 5518?\nAnswer: 6609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48 + 20 - 19*p**2 - 51*p**3 + 12 + 14 to a*p**2 + s + g*p + m*p**3 and give m.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88 + -43. Let n = i + -43.86. Let d = 1.139927 - n. What is d rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 3:07 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -93 + 100. Solve 3*x - t + 7 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 11*w - 143. What is the remainder when 32 is divided by i(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/16 - (-67)\/4. Calculate the common denominator of 67\/22 and x*(-7)\/(-6) - -1.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 37212?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*h + 2. Suppose i = h + 3. What is the units digit of -1 + (-2)\/(-1) + i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(5\/6)*t**(7\/3)*t**(2\/15)*t\/(t**(-3\/5)\/t))**(25\/4))**(-45) assuming t is positive.\nAnswer: t**(-13275\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 10 = -2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -942699144 divided by 2162154?\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(-7\/3)))\/u)\/(u\/u**7*u)*(u\/u**(-5))**(1\/28) assuming u is positive.\nAnswer: u**(79\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(495) + sqrt(495) - sqrt(495))\/sqrt(11) - -1*sqrt(2205))\/((sqrt(18)*-1*1 - sqrt(18))\/(-6*sqrt(8)\/sqrt(4) + sqrt(2))).\nAnswer: 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 2327955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from {o: 1, s: 2, e: 2, i: 2, g: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -0*m + 9*z - 15, -34 = -2*m - 5*z - 39 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -26231927 and -26231927 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 12) to base 14\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r. Let w(q) = 828*q**2 + 46*q + 92. Let b(f) = -92*f**2 - 5*f - 10. Let t(v) = -46*b(v) - 5*w(v). Determine t(s(m)).\nAnswer: 92*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 627919446 to the nearest integer?\nAnswer: 25058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -302221?\nAnswer: 302220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**11\/(y**(-2\/3))**(-27)*((y\/((y*y*y\/(y*y**(1\/6)*y)*y*y)\/y))\/(y**(-5\/4)*y*y))**(-18) assuming y is positive.\nAnswer: 1\/sqrt(y)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/8, 3.5, -164?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5964 = -8*s - s - 5892 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18533417 and 5?\nAnswer: 92667085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence za when two letters picked without replacement from {z: 1, f: 2, a: 3, y: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 5*a**2 + 90*a - 410. Give t(4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g + 2*g - 90. Is -2 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56.8 + -10.2.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3188100 and 2400?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**2 + 38*x - 21. Let h be c(12). Solve h*i = -3*f + 24, 4*f + i = -2*i + 28 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 13*m**2 - 4*m**2 + 11*m + 4 - 8. Let n(f) = -8*f - 4 + 7*f - f**2 + 5. Let u(i) = -4*n(i) - o(i). What is the second derivative of u(g) wrt g?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 5*a - 20, -2*y - 3 = 5*a - 2. Let o be 58\/y + (-4)\/14. Let i(r) = r**2 - 2*r - 1. Is i(o) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*c + 336 = -295 + 169 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2 = -51. Suppose -n = -t - 0*n + k, 5*t - 3*n - 253 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60106, 120214, 180324, 240436, 300550, 360666, 420784?\nAnswer: 480904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-15))\/((-2)\/10). Let j be (-56)\/(1 + -4 + g). Let q = 2316 - 2302. Calculate the greatest common factor of q and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*o**6*q - 23*o**3*q - 13*o**2 + 4*o*q + 3*o wrt o.\nAnswer: 1560*o**3*q - 138*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6*n**2 - 85*n - 190. Calculate z(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (12 - 19) - (1 - -1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 173.8 + -175.8. Which is the closest to -2? (a) 2\/5 (b) 7 (c) 1\/4 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -9*b**3 + 2*b**2 - 18*b + 6. Let w(s) = 2*s**3 + s**2 + s. Let l(o) = r(o) + 4*w(o). What is the hundreds digit of l(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*j - 5. Let k be 6\/76*(110\/30 - j). Factor 0*r - 6\/19*r**3 - 2\/19*r**4 - k*r**2 + 0.\nAnswer: -2*r**2*(r + 1)*(r + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*v - 3*s + 7, 0 = 4*s. Let k be -1*(0 - v) - (-64 + 63). Solve -k*a - 5 = 35 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*j + 1437 + 465 = -306 for j.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 180411 by -316.\nAnswer: -180411\/316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 57204067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28888?\nAnswer: 2, 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -0.4, -5, 14 in decreasing order.\nAnswer: 14, 3\/4, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224 - 101*z**2 - 676 - 14*z**2 + 218 + 233.\nAnswer: -115*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + 5. Let b be (4 + 1)*(-10)\/h. Suppose -b*i + 80 = -26. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*z = 47163 - 45538 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 - 0.5. Let z be (-2)\/(-32)*28 - 2. What is the fourth biggest value in l, 0.2, -3\/5, z?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 36530, 36520, 36522, 36548, 36610, 36720, 36890?\n\"Answer: 2*f**3 - 6*f**2 - 6*f + 36540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 + 3874*l**2 + 773246*l + 40846878.\nAnswer: 2*(l + 109)**2*(l + 1719)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -8*z + 8 + 5 - 6 + z**3 - 6*z**2. Let t be y(7). Let w = -1386 + 1387. Put t, -7, -3, w in ascending order.\nAnswer: -7, -3, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112690 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 893261*k**2 + 1314*k - 54?\nAnswer: 1786522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8321*p**5 - p**2 + 253202*p?\nAnswer: 499260*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*v**2 + 221*v**2 + 4 - 26 + 21 as m*v**2 + w + y*v and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2 - 4 + 1 - 6*n - 6 wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 93 and 597742?\nAnswer: 1793226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - m = 5*n + 35, -4*n - 5*m + 104 = 0. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3595 - 2977. Calculate the least common multiple of h and 11.\nAnswer: 6798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 28847.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbqcqccc. Give prob of picking 1 b and 1 c.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - 649*n - 2717*n**2 + 328*n + 321*n + 45.\nAnswer: -2717*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -33*q. Let i(r) = -4*r - 4707. Calculate v(i(d)).\nAnswer: 132*d + 155331","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -298, -171, 186.\nAnswer: -298, -171, -1, 186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(6)\/sqrt(3)*5))\/((sqrt(18) - sqrt(2))*5*-4).\nAnswer: -sqrt(5)\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -96757?\nAnswer: -96756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 13\/86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 35?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 49727 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*c + 130 = 0, 2*a + 2*c - 61 = 5*c. Let t = a + -31. Solve 0 + t = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 3*o - 4. Determine h(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from alyxyalaalcw. What is prob of picking 1 x and 1 y?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -3*i - 35903. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 k when two letters picked without replacement from {s: 3, t: 1, q: 4, k: 1, b: 1, h: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.1, 3, -0.2, -151 in decreasing order.\nAnswer: 3, 0.1, -0.1, -0.2, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2358 + -2358.50048. Let a = -43 - -43.5. Let w = a + l. What is w rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2168 and 1212454?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 23*p + 88. Let o be w(29). Let d = o + -1880. Round d to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m - 4. Let f(c) = 7 - c - 5 - 1. Let u(x) = -5*f(x) - v(x). Differentiate u(j) with respect to j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 35221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 6*c**2 - 5*c - 3. Let y be a(4). Let o = -7 + y. Suppose -o*u = 2*u - 52. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6751762800 to the nearest integer?\nAnswer: 82169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 + 73*f + 16*f**4 - 41*f**4 - 133*f**4 - 72*f - 12 as w*f**3 + i*f**4 + c*f**2 + s + m*f and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x**5\/7 - 899*x**4\/7 + 23561*x**3\/7 + 7669*x**2 + 4736*x + 3916\/7 = 0. What is x?\nAnswer: -89, -1, -2\/13, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*(-5)\/(5\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -658042, 2 in ascending order.\nAnswer: -658042, -8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1007 is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -9*o - 4. Determine l(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 84\/5 - 106\/5*m - 8\/5*m**2.\nAnswer: -2*(m + 14)*(4*m - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10984.9962 + -0.07957.\nAnswer: 10984.91663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/29, 9, 12, 7, -3.\nAnswer: -3, -1\/29, 7, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2 + 3*m - 2. Let i = 7 + -5. Does 12 divide u(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6723, 26920, 60569, 107670, 168223?\n\"Answer: 6726*q**2 + 19*q - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**2 - 7*o**2 - 7*o - 2*o**4 - 4*o + 3*o**3 + o**2 to a*o + l*o**3 + r*o**2 + t + i*o**4 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 106631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**5 + 3*d**5 - 4*d**5)*(-1 + 1 - 4 - 10 + 4 - 5 + (4 - 2 + 0)*(1 - 1 - 1))*(-2 + 1 + 3).\nAnswer: -68*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 3 (c) 0.1 (d) -4 (e) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 5 = -3*b. Suppose 0 = -l + 2*l - 1. Let z = b - l. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-426)\/3*((-58)\/56 + 1) and 33\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d0ac8 (base 15) to base 8.\nAnswer: 10240361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4102031.\nAnswer: 509, 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1284?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -d - 3*y, 5*d + 60 = d + 4*y. Let m = 36 + d. What is the least common multiple of 8 and m?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.9 + -34. Let j = f - -30.1. Let m be 1\/4 - (-1)\/2. Which is the nearest to j? (a) -0.4 (b) m (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 15*v. Let d be r(2). Let z = 49 - -17. Suppose -7*h - z = -381. What is the greatest common factor of h and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -3. Let j = -176\/3 - -58. Which is the closest to h? (a) j (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 4*h. Let b be o(-6). Calculate the common denominator of 41\/2 and (-1)\/b*194\/(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*z**3 - 17640*z - 19757*z + 32274*z - 43*z**2 - 1 wrt z?\nAnswer: -150*z - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -u**5\/12 + 35*u**4\/24 - 25*u**3\/3 - 3*u**2\/2 - 29*u. Let r(f) be the first derivative of v(f). Factor r(y).\nAnswer: -5*(y - 5)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 - r**2 - 3*r**2 + (1 + 2 + 1)*(-2*r - 11*r**2 + 0*r + 13*r**2 - 1) in the form m*r**2 + t + w*r and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 165078585?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*q + 57462 - 237092 - 2*q**2 + 59*q.\nAnswer: -2*q**2 - 179630","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25138516*z**6 + 6623963*z**2.\nAnswer: -3016621920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 25*m**3 - m**2 + 2*m + 5. Let l = 138 - 133. Let v(w) = -13*w**3 - w - 2. Let d(n) = l*v(n) + 2*f(n). Calculate d(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -17 + 24 + -5 + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 83\/5 + 8\/20. Suppose 2*h + q = 4*h - d, -q = -h + 9. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/10 in -2\/7, 0, -2, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -18 + 3*m**2 - 4*m**2 + 8*m + 11. Let b be k(6). Find the third derivative of 17*l**5 - 6*l**5 + 7*l**2 - 5*l**5 - 2*l**b wrt l.\nAnswer: 240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 50.5 and -1912643051?\nAnswer: 1912643101.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 16 = -4. Let j(w) = -8 + 213*w**2 - 2*w**3 + 3*w**3 - 225*w**c. Is j(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 24. Solve -1 = m + w for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61203109 to the nearest integer?\nAnswer: 7823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48068711 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -24, 16647.\nAnswer: -24, -4, 16647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 28. Let f(d) = -63*d + 1. Let r(y) = 63*y. Let k(l) = 5*f(l) + 6*r(l). Is k(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 22*n - 84. Let c be r(-4). What is the hundreds digit of 1702 - (38\/(-8) - 9\/c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**5\/30 - 11*h**4\/24 - 328*h**2. Let f(s) = -3*s. Give k(f(q)).\nAnswer: 18*q**2 + 33*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (-24 - (-6 - 10))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10307, 10308, 10309, 10310, 10311, 10312?\nAnswer: 10313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/15)*h\/(h*h**(1\/2)*h))\/(h**3\/(h*h\/h**(2\/15)))*((h*h\/h**(-3))\/(h\/(h\/(h*h*h**(2\/13)*h*h*h*h))*h))**47 assuming h is positive.\nAnswer: h**(-40559\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 z when three letters picked without replacement from {c: 1, e: 6, u: 1, z: 6, v: 1}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100 + -87 + -8 + 2 - (9 + -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 90752\/5 or 18150?\nAnswer: 90752\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 4*o + 3. Give n(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -4*i + 10748, -5*w + 5*i + 15649 - 4874 = 0. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + -83)\/(545\/(-436)). Which is the second biggest value? (a) -17 (b) n (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*b - 7*b - 12*b + 36*b - 7*b.\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 60*r + 455. Calculate the lowest common multiple of 7 and l(53).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/150)\/(-2 + (-24)\/(-15))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 38*k - 34*k - 11, -3 = -4*j - 3*k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 20*q**2 + 6*q + 45. Let c(b) = -7*b**2 - 2*b - 16. Let o(m) = -17*c(m) - 6*v(m). Let w(r) = -2*r**2 - 3*r + 5. What is 5*o(a) - 2*w(a)?\nAnswer: -a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 5:41 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 16 + 3 + 1. Let q(k) = 0 + 0*k + 2 - o*k + 2. Is 7 a factor of q(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1112? (a) 0.5 (b) 3 (c) 5 (d) 2 (e) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.063222255*-2.\nAnswer: -0.12644451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7 + 1.7. Let o = -113\/3 + 38. Which is the closest to i? (a) 0 (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*k**2 + 40*k**2 + 60*k**2)*(k + 4*k - 3*k) + (-k + 3*k - 4*k)*(-4*k + 4*k - 2*k**2).\nAnswer: 180*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 - 31540*w**2 - 1613454*w - 4556448.\nAnswer: 2*(w - 15821)*(w + 3)*(w + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*u**3*x - 193*u**3 + 85*u*x - 4*u wrt x?\nAnswer: -13*u**3 + 85*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (7 - 23 - 33) - (4 + -1).\nAnswer: -32","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 ffffffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6507 + -6506.6. Which is the second biggest value? (a) -14 (b) w (c) -3.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-6)\/915*-2. Let r = 2236\/15555 - s. Let i = -14\/17 + r. Is 1 less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*sqrt(162))\/(sqrt(72)\/(-2*sqrt(12)))*-1.\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9554636?\nAnswer: 2, 7, 13, 26249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*(1 + -3 + sqrt(405) + -1)*-5 + 2)**2.\nAnswer: -1260*sqrt(5) + 10321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -15*k**2 - 70*k + 25 = 0.\nAnswer: -5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2\/6 - 20312695*m\/6 - 3385450.\nAnswer: 5*(m - 4062540)*(m + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 - (-8 - -3) - (-1 - 6). Solve -5*r + i = 1, l*i - 2 - 3 = 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.797 + -17.293. Let n = o - -20. Let d = 4.09 + n. Which is the closest to -2\/5? (a) -2\/13 (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.2, -16, 2\/11, 4\/21, -5?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1.6, 1 in increasing order.\nAnswer: -1.6, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1748)\/6555)\/((-6)\/15)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 2*v + 5*v)*(145 - 444 - 442) + v + 2*v - v - 1 + 2*v + 1 + (1 - 2*v - 1)*(1 - 5 + 2) - 3*v - 2*v + v.\nAnswer: -737*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 91 + 85 = -j, 4*j - 24 = u for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -686*d + 2069*d - 683*d - 688*d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -4*r + 52. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y - 4. Let f(w) = -2*w. Let c(m) = a(m) + 5*f(m). What is c(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 174, 295, 496, 777, 1138, 1579?\n\"Answer: 40*u**2 + u + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v**2 - 197703*v - 790806. Determine p(-4).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(96)\/sqrt(4) - sqrt(24))*5)\/sqrt(12)*5 + -5*4*sqrt(10)\/(sqrt(5)*2))**2*-1.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70795089 and 306?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51716 (base 8) to base 4.\nAnswer: 11033032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/40 - 1\/8) + 96. Let a = -92 + r. Let o(w) = -w**3 + 5*w**2 - 6*w + 5. Give o(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-3))\/(15 - 952\/63). Let i(v) be the first derivative of 3\/20*v**4 + 0*v + 3\/5*v**a + 6 + 3\/5*v**2. Factor i(s).\nAnswer: 3*s*(s + 1)*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 5 - 5 - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 - t + 36. Let d be (12\/(-10))\/(6\/60). What is the remainder when a(0) is divided by 6\/(-4)*104\/d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 405 (base 12) to base 10.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 1025 + 9*r - 19*r + 14*r.\nAnswer: 5*r + 1025","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 197538753 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 22. Let q be (6 - o\/3)*(-4)\/16. Do -28 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**2 + 1. Let y = 4 - 3. Let s be f(y). Let l(q) = q**2. What is the units digit of l(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4d9 + -1314?\nAnswer: -180d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -250, -236, -196, -118, 10, 200, 464, 814?\n\"Answer: 2*o**3 + o**2 - 3*o - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9e - 1?\nAnswer: 9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80) - -2*sqrt(80)*-2)\/(sqrt(800)*-2))\/((sqrt(25) - sqrt(75)\/sqrt(3))\/sqrt(5) - sqrt(10)\/sqrt(2)*5))**2 + -5.\nAnswer: -24991\/5000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, o: 2, m: 3}. Give prob of picking 1 o and 2 f.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -147*h**4*u**2 + 104032*h**3*p*u**3 + 13054*h**2 + 2*h*p*u**3 + 56*p wrt h?\nAnswer: -3528*h*u**2 + 624192*p*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, p: 5, l: 14}. Give prob of sequence pl.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nar when three letters picked without replacement from acbranbrbycaayaaaaby?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**4 + 3*t**4 - 3*t**4 + (-t + 0*t + 0*t)*(-t**3 - 2*t + 2*t) + 2*t**2 + 2*t**4 - 2*t**2 - 34*t**4 - 52*t**3 + t**2 + 38*t**3 + 9*t**4.\nAnswer: -21*t**4 - 14*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, f: 1, y: 3}. What is prob of sequence yyyo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294 = 4*c + 10. Let a = c - -84. Calculate the least common multiple of a and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24698\/(-10485) - (-2)\/(-45))*(-30)\/8\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 7*s. Let k be h(-7). Put -2, k, 5, 3 in increasing order.\nAnswer: -2, k, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/172? (a) 4 (b) 1\/2 (c) 14634 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from enbbennbnnbbnnnnbbb?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 70 = -2. Let z = 10 + l. Solve z*w = -0*w + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 11*h - 612. Suppose -22 = 10*j - 582. Let i be p(j). Let z(o) = o + 7. Let q be z(-4). Solve -q*g - i*u = -9*u + 16, 0 = -u + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 45\/8, 767, 4?\nAnswer: 45\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -761? (a) -0.5 (b) 1 (c) -13\/5 (d) -9 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -34. Solve 3*j + 9 = a, 0*j + j + 3 = -p*a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 183 and 27924?\nAnswer: 1703364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -23. Suppose -5*i + 12 - 1087 = q*f, 0 = -i + 1. Let h be f*((-249)\/(-9) - -4). What is h rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k + 818070*k**2 - 818068*k**2 + 4*k.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d**2 + 2*d**2 - 2*d**2)*(3 + 5*d + 6*d - 13*d) + (-2 + 2 - 2*d)*(d - d - d**2) to the form l*d**3 + r*d**2 + y + p*d and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 44*l**5 + 15408*l**4 + 18156*l**3 + 2792*l**2 = 0. What is l?\nAnswer: -349, -1, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/162*-33 - 2\/(-6). Let w = -64\/135 - z. Let h = 0.3 - 0.3. What is the closest to -0.1 in -10, h, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -7*j**3 - 52*j**2 + 46*j + 315. Calculate the remainder when u(-8) is divided by 119.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(7) + 1*sqrt(175)).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = n + 4, 0 = -2*n - 4*p - 3 + 1 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {o: 2, n: 1, e: 1, w: 9, c: 2, m: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqtkgtggkttgktt. Give prob of sequence kk.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 4. Let v be 6\/9 - 612\/(-14). Let t = v - 134\/3. Which is the second biggest value? (a) q (b) 0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 250 + -250.244. Let i = n - 0.256. Which is the third smallest value? (a) 37 (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 20 = -10*o. Let j be -1 - 8*2\/o. What is the second smallest value in 0, 2, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10200201 - 0?\nAnswer: -10200201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 203128 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c20 (base 15) to base 9.\nAnswer: -18563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1388458 rounded to three decimal places?\nAnswer: -0.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 9*o**2 + 18*o + 82. Let q be l(-8). Solve -2*z = q*z, -5*y + 4*z - 15 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1453750270.\nAnswer: 2, 5, 7, 31, 669931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + 1.7. Let o = 0.527 + -0.027. Suppose 4*d - 5*n - 37 = -9, -10 = -3*d + n. What is the nearest to z in o, -1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*f + 194*f**3 + 199*f**3 - 391*f**3 + 46*f to g + v*f**3 + w*f + z*f**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + -3 + (-35)\/25. Factor -h*g**4 + 3\/5 + 0*g**2 + 6\/5*g - 6\/5*g**3.\nAnswer: -3*(g - 1)*(g + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 17*x**2 + 15*x + 20. Give c(18).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -11*c. Let b(p) = 2*p**2 - 132*p. Let n(v) = -b(v) + 12*g(v). Let y(a) = 83*a + 4. Calculate y(n(t)).\nAnswer: -166*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*m**2 + 0*m**2 + 2*m**2 - 5*m**2 + 13*m in the form o + k*m**2 + r*m and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28861 + 0?\nAnswer: -28861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22690 - 22690. Let y = -0.03 + 0.06. Let j = y - -5.97. Which is the closest to x? (a) -0.4 (b) -2\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -151540524 by 31.\nAnswer: -4888404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1739*i - 4569*i + 25470. Let b(l) = -16*l**3 - l**2. What is the smallest common multiple of i and b(-1)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((6 - 0) + -7)*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 222 and 814?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100304?\nAnswer: 2, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*p + 18 = -18*p, 0 = 8*a - 3*p - 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u - 5. Let i be n(4). Suppose 43 = i*t - 2*w, -5*w + 1 = -4. List the prime factors of (16\/6 + -2)*t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*m + 12 + 29, 3*k - 55 = 4*m. What is the units digit of (-2 + m)*(-1)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -68317.20933 to the nearest 10.\nAnswer: -68320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -115952217 and 16375.63.\nAnswer: -115935841.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 146613067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2\/9)*t**(3\/4)\/t)\/((t*t**8)\/(t*t**(2\/3)*t)))**(2\/17))**(-5\/9) assuming t is positive.\nAnswer: t**(1225\/2754)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*d**2 + 0*d**2 - 17*d**2 - 9*d**2 to the form h + y*d**2 + i*d and give y.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 12:49 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9.99 or 77163?\nAnswer: 9.99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -17*l**6\/15 - l**4\/4 - 41*l**3\/6 + 3*l**2\/2 - 44*l - 3. Find the second derivative of p(m) wrt m.\nAnswer: -408*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-276)\/80*-4*1\/174 and -53\/203?\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*5*-1 - (-1 + sqrt(288) + sqrt(288) + sqrt(18)))**2 + ((-4 + sqrt(1800))*-2*-3)**2.\nAnswer: -8724*sqrt(2) + 68905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 3:08 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45603382 divided by -22.\nAnswer: 2072881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + w + 6, 0 = -2*d + 2*w + 2 + 4. Suppose -1360 = -2*u - d*u. Let f = 1900\/7 - u. Which is smaller: -2 or f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*3417\nAnswer: -1025.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/700 + 7011\/7700. Which is greater: -1\/3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2 + 32*m - 27. What is k(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 25. Let s be x(0). Suppose 20*m = s*m - 60. Suppose 0 = -7*a + m*a - 485. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 44990 = -45*i + 218377 + 314458. List the prime factors of i.\nAnswer: 37, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**2. Let q(n) = -13*n + 16*n - 5*n - 10*n. Calculate s(q(o)).\nAnswer: 432*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/2 + 637*j - 405769\/2.\nAnswer: -(j - 637)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + i = 49, -3*i + 0*i = -d + 9. Let c = 380 - 373. Let r = c + d. Solve 5*y + 4*q - r = 6, q = -5*y + 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**3 - 828445673 + 414222835 + 414222838.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -1\/2*y**4 + 236 + 76*y**2 + 46\/3*y**3 + 104*y. Factor u(z).\nAnswer: -2*(z - 26)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, w: 4, y: 1, n: 1}. Give prob of sequence aaya.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-10) + 12\/5. Let z(l) = -10 + 3*l + 0 - n*l. Suppose -4*a = -2*o - 32, 2*a - 87*o + 90*o - 8 = 0. Calculate z(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 1. Suppose -3*h - 2*s = -4, 4*h - s + 4*s = k. Suppose 3*f = 9 - h. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2293, -25, -2, 1, 3 in ascending order.\nAnswer: -2293, -25, -2, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 minus 276603078?\nAnswer: -276603086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 998595 to the power of 1\/2, to the nearest integer?\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7.614612 years?\nAnswer: 0.07614612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 812 - 111. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/13)*x**1*x)\/((x\/x**(-2\/3))\/x**(2\/3)) assuming x is positive.\nAnswer: x**(14\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**3 + 30*t**2 + 14*t - 74. Give j(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/558, -4, -3\/8, 4.\nAnswer: -4, -3\/8, 1\/558, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 3:54 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by 1649.\nAnswer: -38\/1649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 24930*v**3 + 66465*v**2 + 33200*v - 20 = 0.\nAnswer: -2, -2\/3, 1\/1662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yybppppyyyb?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -2.99999956. What is o rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 1:20 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 63*x**3 + 0*x**4 - 64*x**3 + 2*x**4)*(-15 + 12*x + 15).\nAnswer: 24*x**5 - 12*x**4 + 12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*h**3 - 2*h**2 + h - 5?\nAnswer: 246*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 25*n - 825. Let l be s(33). Sort 5, l, -23, 2, -2 in decreasing order.\nAnswer: 5, 2, l, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -41a?\nAnswer: -417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-1*(-1)\/(-3))\/((-28)\/(-24))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3306*g**2*u**2 - 19*g**2 - g*u**2 - 142*g + 30*u**2 + 46 wrt g?\nAnswer: -6612*u**2 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -282 divided by -15.\nAnswer: 94\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 bigger than 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 3. Let b(o) = 6*o - 19. Let q(j) = b(j) - 5*n(j). Let i(x) = x - 4. Give -3*i(m) + 2*q(m).\nAnswer: -m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-48)\/90)\/(-2 + 24\/10). Sort 2\/11, -0.5, k in descending order.\nAnswer: 2\/11, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 20*o**2 + 2*o - 2. What is the units digit of x(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**4 - 63052*h**3 + 315304*h**2 - 189204*h - 567558 = 0.\nAnswer: -31531, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -2\/13, 2010, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-14)\/(-2) - (10 + (-558)\/132) and 161\/6150.\nAnswer: 67650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 998, 3 in descending order.\nAnswer: 998, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20170, 161556, 545336, 1292710, 2524878, 4363040, 6928396, 10342146?\nAnswer: 14725490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*i + 58 + 164 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14.178, 5, 2.\nAnswer: -14.178, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93 + -41. Suppose 5*o - 13 - t = -4*k, -k = 2*o - 29. What is the remainder when o is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 571 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*s**5 + 39*s**5 + 49*s**5 + (s**3 + 6*s + 2*s - 4*s)*(s**2 + s**2 + 0*s**2))*(4 - 5 + 0).\nAnswer: -99*s**5 - 8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19076*o**2 + 4*o**3 - 38156*o**2 + 19080*o**2.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 9:26 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000107907 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -992782*r + 381609*r**2 + 3928582*r + 1211*r**3 - 3*r**4 - 1855803*r**2 - 1465803 + 2989*r**3 = 0.\nAnswer: 1, 699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 - 75 = -2*m. Let f = -30 - -33. Suppose f*y - 16 = 14. What is the highest common divisor of m and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 172 and 5955199.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 714 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1045198 is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -2*c - 21. Let s = -19 - c. Solve -r = s*r - 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 84*d - 396. Calculate the lowest common multiple of z(6) and 162.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6504*a - 5518*a - 993*a.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-3*(sqrt(121) - (sqrt(121) + 1*sqrt(121))))\/sqrt(11) + (sqrt(88)*-2*-4)\/sqrt(8) + -2)**2.\nAnswer: 44*sqrt(11) + 1335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -9 + 1. Let n be 17*b\/(-28) - 2. Sort 1\/2, 1, n in descending order.\nAnswer: 1, 1\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 182*r + 27367. What is p(-147)?\nAnswer: 613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 41*x + 16*x + 27*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8468*x = -8423*x + 810 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {b: 4, c: 1, g: 2, y: 3, z: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b = 28*b - 230705 - 465945. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 87.4 in 5.0304, -2\/15, -1?\nAnswer: 5.0304","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2959 + 2897 - (-34 + -1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -592 by 9.\nAnswer: -592\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 5:02 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10012 - 101?\nAnswer: 2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -112*z**2 - 44*z.\nAnswer: -4*z*(28*z + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (-10 + -3 + 3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 860000 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 117*-9.1\nAnswer: -1064.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 1, 934 in decreasing order.\nAnswer: 934, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 12 = 5*o, -n - 4*o = -4*n - 2. Suppose -n*i + i + 30 = 0. Let l = i - 18. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9809*w**2 + 2*w - 2 wrt w.\nAnswer: -19618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p - 4. Let b be r(3). Let d(q) be the third derivative of 0*q - 1\/6*q**3 - 4*q**2 + 0. Let j(k) = -k**2 - 2. Determine b*j(o) + 4*d(o).\nAnswer: o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3264375497 to the power of 1\/3, to the nearest integer?\nAnswer: 1483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/3393 - -12070\/10179. Find the common denominator of 67\/231 and h.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -226, -163, -32, 191, 530, 1009?\nAnswer: 1652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, -88, -195, -302?\nAnswer: -409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12202 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 3*d + 10*h, -4*d - 97 = -5*h - 56 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -40?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -11. Suppose -2*r = -c + 11, p*c = -9*r + 6*r + 3. Suppose -2*m + 5*j = -119, 0*j - 175 = -c*m + 4*j. List the prime factors of m.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3 + sqrt(891) + (sqrt(891)*1 - sqrt(891)) + (sqrt(891) - (4 + 0 + sqrt(891))) + (sqrt(891) - -4*(sqrt(891) + 2*sqrt(891))))**2.\nAnswer: -1008*sqrt(11) + 174652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**(2\/9)*l**(-2\/3)*l*l\/l**(1\/8) assuming l is positive.\nAnswer: l**(103\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 453*k - 18605. What is x(41)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 2. Let p(c) = 1. Let s(d) = -6*d - 5 + 8*d + 2*d - 2*d + 0*d. Calculate g*s(n) + 5*p(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -1)\/(9\/(-3) + 4). Let m(l) = 17*l - 5. Let x be m(p). Suppose 2*f = s + 6, -2*s - 5*f + 3*f = -x. Let r(q) = -4*q**2 + 3*q - 2. Determine r(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 g when three letters picked without replacement from {j: 5, g: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**3\/3 - 42*h**2 - 1900*h\/3 = 0.\nAnswer: -38, -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -825 - 8*i - 13477*i**3 + 13475*i**3 + i**2 + 4*i as f*i**3 + r + q*i**2 + g*i and give r.\nAnswer: -825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -8, 2*l - 13 = 4*u - 51. Is ((-103)\/(-2))\/(l*2\/(-572)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -9*s + 32. Give m(-7).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 486271139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77 + 72. Let t(w) = -46*w - 19. Is t(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13330111 (base 6) to base 4.\nAnswer: -1231022323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56342557 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -35, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + y + 3*y = 1232, 3*f - 5*y = -926. Let p = 229 - f. Suppose -4*w - 8 = -p. What is the greatest common factor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -197199 and -3441.\nAnswer: -200640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 9 = -w + 6*q, 5*w - q - 11 = 0. Solve w*j = 3, -m + 2*j - 8 = m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*o - 6*o. Suppose o = 3*l - 8*l + 5*c + 150, l = 5*c + 42. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14167*f**6 - 775*f**4 - 10*f**2 + 4*f + 308642 wrt f.\nAnswer: 1700040*f**3 - 18600*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 69*a - 982. Let z be c(20). Let g be (-5)\/(-6)*6\/30. Sort z, 3, g.\nAnswer: z, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 11:50 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvvrijuivvvuurv. What is prob of picking 1 u, 1 i, and 1 v?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 313 = 5*u - 3*u, 1273 = 4*p + u. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15267 to the nearest 100.\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**6\/10 - 57*y**5\/20 + 24*y**4 - 22*y**3 - 240*y**2 + 4364*y. Suppose w(i) = 0. Calculate i.\nAnswer: -1, 2, 8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, r: 1, u: 1, f: 4, e: 11}. Give prob of sequence feqf.\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -308 + 292. Let z be (-81)\/(-6)*(-2)\/(-3). Let i be v*z\/((-36)\/(-8)). Is -33 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 49*f + 2. Let u be y(4). Let r = -462 + 464. Suppose 14 + 34 = r*l + i, i + 40 = 2*l. Calculate the highest common factor of u and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -39 (b) -3\/2 (c) -3.1 (d) 2 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 8367.4 to the nearest ten.\nAnswer: 8370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 558 (base 9) to base 8\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2327 by -4707.\nAnswer: 2327\/4707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113 + -300?\nAnswer: -1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 4:17 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(-59*k - 1 + 42*k - 38*k).\nAnswer: -110*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -276 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 168.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6a + -3a?\nAnswer: -a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2951781619 to the nearest integer?\nAnswer: 1434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o - 8*o - 2 + 12*o)*(-5873 + 5873 - 766*o) in the form q*o + y + w*o**2 and give q.\nAnswer: 1532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8, 6, 52, 130, 240?\n\"Answer: 16*k**2 - 34*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 14*v + 2. Let m(q) = -15*q - 3. Let g(z) = 4*l(z) + 3*m(z). Let x(i) = i**3 + 3*i**2 - 6*i - 6. Let c be x(-4). Is g(c) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -17*x**2 - 5*x - 8. Let h(k) = -6*k**2 - 2*k - 3. Let n(y) = -8*h(y) + 3*w(y). Let r(s) = -s**2 - 3*s + 1. Let p be r(-3). Calculate n(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 10:24 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*3\/15 - -1. Suppose 9*f = a*f + 3717. Suppose n = 4*c + f, 2*n = -4*c + 100 + 938. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 - 14*z - 124*z + 138*z.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*c - 4. Suppose -c*h + h - 4*p = 11, -2*h + 2*p = 2. What is the units digit of h\/(-3) + (-2 - -34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-12 - -1)\/(-33)*-45. Let l(z) = z**3 - 16*z**2 + 22*z - 94. What is l(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4184111*h**2 - 4184097*h**2 + 6*h - 2*h - 40*h**5 + 40 wrt h?\nAnswer: -800*h**3 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.1 + 2.7. What is the biggest value in 0, q, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 357033791 to the nearest integer?\nAnswer: 18895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6*v. Let s(n) = -21*n - 6. Let r(m) = 2645*m + 759. Let c(z) = -4*r(z) - 506*s(z). What is c(a(w))?\nAnswer: 276*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - 3*c + 2, -4*c = 5*b + 433 - 421 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153028 is divided by 30604.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express w**4 + 27*w**3 + 1 - 2*w**2 - 3*w**4 - 29*w**3 as b*w + j + l*w**3 + r*w**4 + h*w**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 1980 = -4*q. Let t = 205 - q. What is the remainder when 26 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*h**2 - 92*h + 40 = 0. Calculate h.\nAnswer: -5, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.28 - 0.4. Let b = 0.02 + s. What is the second smallest value in b, -5, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1652 is divided by 185.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 25 - 2)*(n**3 + n**3 + 3*n**3).\nAnswer: -110*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 78*g + 6. Let n(x) = 73*x + 6. Let d(r) = 5*n(r) - 4*w(r). Let u(s) = -1. Calculate d(h) + 6*u(h).\nAnswer: 53*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, d: 2, c: 2, k: 6, h: 3, g: 2}. What is prob of sequence gtk?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*f - 15*f = -4*f - 247 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o + 72. Give n(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26392945 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: What is 6\/(-4)*(-8)\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13861 and 0.2.\nAnswer: 2772.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -118 + 139. Calculate the remainder when l is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 190 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/1293 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-21\/2)\/o)\/(o*o**29))\/((o\/((o\/((o*o*(o*o**(1\/4))\/o)\/o)*o)\/o)*o)\/o**(-5)) assuming o is positive.\nAnswer: o**(-195\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-2759486.\nAnswer: 1103794.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*w, 10*u - 5*u + 3*w = -3764. Let z = u - -1511\/2. Let y = -0.06 - 0.74. Which is the nearest to 0? (a) -3 (b) z (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*x = -142, -3*h - x + 224 = x. Let c be -3 + 9 + -2 - 1. Suppose -s + c*s = h. Does 16 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10546170 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/24 (b) -61 (c) -1 (d) -0.5 (e) 1\/189\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 15. Let t be c(16). What is the common denominator of -63*2*t\/(-4) and -51\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 10.00323 months?\nAnswer: 0.08336025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16973536 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*i + 3*h - 5*h, -3*h = 2*i + 13 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, 0, 0.9 in descending order.\nAnswer: 0.9, 0, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**2\/2 + 239. Let k(s) = -s + 1. What is -2*d(w) - k(w)?\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44726?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 3\/2*c**2 + 3*c - 8 + 2\/3*c**3. Calculate o(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*r - 81 = 160 + 43. Let s(f) be the second derivative of -1\/6*f**3 - 1\/12*f**r + 9\/2*f**2 + 0 + 10*f. Calculate s(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -463502 and -0.1.\nAnswer: 46350.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3347 - 1725 = -4*k - 2*y, 0 = -3*k - y + 3804. Suppose -p = -4*a + 2*p + k, 0 = -4*a + p + 1268. Suppose 6*x - 199 = a. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hc when two letters picked without replacement from {h: 11, c: 3}?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 208, 224, 266, 346, 476, 668, 934, 1286?\n\"Answer: 2*p**3 + p**2 - p + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 368749 divided by -180?\nAnswer: -368749\/180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 806, -1, 3, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 7:53 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*p + 6. Let s(r) = -r**2 - 8*r - 6. Give s(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2295*c + 297. Let n(u) = 31*u + 4. Determine 4*d(r) - 297*n(r).\nAnswer: -27*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4*(-2*sqrt(72)*3 + sqrt(72)))\/((-4*(sqrt(484) + sqrt(484)*1 + sqrt(484) + sqrt(484)) - sqrt(484)) + 2*sqrt(484)*-5).\nAnswer: 20*sqrt(2)\/99 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 15*d**2 - 13*d + 6. Let j be n(-8). Let o be j\/15*(0 + (-6)\/(-4)). Solve -117*v**3 - 9*v**4 - 9 + o*v**3 + 20*v**2 - 2*v**4 + 12*v - 2*v**5 = 0.\nAnswer: -3, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -x + 7. Suppose x = 5*v - v. Calculate the highest common factor of v and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*j**3\/13 - 11996138*j**2\/13 - 148598593200*j\/13 + 1636036380000\/13 = 0.\nAnswer: -272700\/11, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19491 and 175419.\nAnswer: 175419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -639263\/4 or -159817?\nAnswer: -159817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-112)\/52 + 2\/(0 - -1)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, l: 4, p: 2, q: 7}. What is prob of sequence lg?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1252065 (base 8) to base 5.\nAnswer: -42133422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npfnnfnppffn. Give prob of picking 1 n and 1 f.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/5)\/(52\/(-65)) + 0. Let r = 61.8 - 62.3. Put -83, n, r in descending order.\nAnswer: n, r, -83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 17*h + 488. Calculate l(-13).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 460290*b - 5510. Let l be f(19). Round l to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 3*p - 8*p. Let o be ((-9)\/(-5))\/(19\/(-95)). Let t = p + o. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 4*m + 6. Suppose -5*q + 4*s - 4 = 3, 2 = 2*q - 4*s. Let a be u(q). Solve 0 = -2*p - 3 - a for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 681622.1 millennia?\nAnswer: 6816221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/5*(-16)\/(720\/(-75))*39\/(-33)?\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 5 = -2*y - w, 0 = 5*y - 4*w - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.58 - -0.544. Let c = -1.036 - s. What is the nearest to c in 6\/19, 0.3, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/(k\/(k**1*k))))**(-21))**(-19))**(-8) assuming k is positive.\nAnswer: k**3192","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*t + 231 = 67*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6042.3us?\nAnswer: 6.0423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -17480 to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-56)\/(-20))\/(-7) - 9\/(-10). What is the closest to n in 5, 1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 384*a + 391*a + 56 - 38.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**2\/2 - 119*i - 261. Let s(h) = 2*h. Determine w(s(z)).\nAnswer: -2*z - 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2711*c**2 - 31*c - 30. Does 8 divide i(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -23894*h**2 + 406197*h + 39. Determine n(17).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*p**2 + 9*p + p - 2*p wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 15*s - 4. Let p be r(-2). Calculate the remainder when 28 is divided by (-17)\/p - (-19)\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**6\/1800 + j**5\/300 - j**4\/40 - j**3\/6 + 3*j. Let p(q) be the second derivative of t(q). Factor p(m).\nAnswer: (m - 1)*(m + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3 = u, 4*u + 0*w - w - 9 = 0. Suppose 6*l = u*l - 5*i + 176, 0 = 4*i. Suppose -l = -5*g + g. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350 is divided by 119?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 + 3)*(3 - 5 + 3)*(3*c + 35*c - 23*c) - 3*c - c + 5*c)*(-1 + 7 - 3)*(-6 - 1 + 4)*(0 + 0 + 1).\nAnswer: -549*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51.7 - 58.7. What is the second smallest value in -0.5, 1\/11, 3, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 1:13 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.172 take away 0.01615046?\nAnswer: 0.15584954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -126 - -131. Solve 1 = c*l - 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = i - 15. Let x(p) = 2*p**2 + 2*p - 2. Let s be x(-2). Let u(m) = 13*m + 1. Calculate the remainder when u(s) is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -3. Let w be 60\/(-9) - (-1)\/x. Let p be 4\/w - (-75)\/21. Solve 2 = -p*j + 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 1)*0\/2. Let g = 2 + s. Suppose -l - 14 = -3*i, -i - 4*l - 23 = -g*i. Solve -f = -0*f - i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -59?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*g**2 - 15*g**2 - g + 35*g**2 to the form q*g + c*g**2 + u and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2. Let u(q) be the third derivative of -129*q**4\/4 + 657*q**2. Calculate w(u(y)).\nAnswer: 599076*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8144992 and 11552?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x**3 + x**2 + x + 1. Let z be d(-1). Let v = -1502 - -996. Let o be v\/(-55) - 1\/5. Solve -z*s + 6 = -o for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 175, 269, 365, 463?\nAnswer: 563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = 13*k - 200. Suppose -5*u = -0*u - k. Calculate the greatest common factor of u and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -29*q - 60 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = -p. Put 1, p, 2 in decreasing order.\nAnswer: 2, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.94 + -4.94. What is the nearest to -0.2 in 1\/5, m, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1081.126591081 and 0.108.\nAnswer: 1081.234591081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1536, 1530, 1522, 1512, 1500?\n\"Answer: -f**2 - 3*f + 1540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.37 and 26394609.288?\nAnswer: 26394609.658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**4\/12 - 4*x**3\/3 + 6*x**2. Let r be f(-14). Suppose -15*d - 9235 = -r*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2459581080 divided by 6.\nAnswer: 409930180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/((3\/(-2))\/(-3)). Let q = b + -10. Suppose -q*z = -7*z + 54. Calculate the highest common factor of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.62921552 rounded to 3 decimal places?\nAnswer: -78.629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22088 + -12589. Is v + 0 + -5 + -7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.43172us to nanoseconds.\nAnswer: 3431.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5 + 11*y - 22 - 15 - 85. Let d be u(12). Solve 2*l + d*p = -8, -3*p - 6 = 2*l + p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00199171766 rounded to four decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 138681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.5 + 14.5. Let i = -187.5 + 184.5. Which is the second smallest value? (a) 0.02 (b) j (c) i (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -587*i**3 - 2*i**2 - 1970*i**3 + 2*i**2.\nAnswer: -2557*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/1087536 and -101\/556.\nAnswer: 1087536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 3*x**2 + 1. Let f be o(3). Let i be 6 - f\/(0 - -1). Solve 5 = -6*q + i*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/56)\/((-12)\/294)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**5 + j**4 + j**3 + 1. Let a(g) = -2*g**5 + 3*g**4 + 3*g**3 + 6*g**2 + 3. Let r(l) = a(l) - 3*u(l). Find the third derivative of r(f) wrt f.\nAnswer: -300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*x - 41*x - 40*x**2 to k*x + q + t*x**2 and give t.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2003 rounded to 2 decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-195)\/25 - 5*(-1)\/(-25)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83563.\nAnswer: 83563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15746 - 15746. Solve f = -3*k, -6*k + 2*k = -4*d + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkqqhtsskssqhtsthsh. Give prob of sequence sh.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 - 3)*(-33 - 2*o**2 + 294 - 717) + (2*o + o - o)*(o - 3*o + 4*o) - 3*o**2 - 3*o**2 + 5*o**2 to the form u + s*o**2 + t*o and give u.\nAnswer: 3192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 6168?\nAnswer: 67848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(128)*1 + -3 - -1*((2*sqrt(128) - sqrt(128)) + sqrt(128))) + -1 + 0)**2 + 0 + 4.\nAnswer: -192*sqrt(2) + 1168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f**2 + 5 + 6*f**2 - 3 + 801*f + 361*f.\nAnswer: -6*f**2 + 1162*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 423849 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 748\/35 + -144\/7. What is the fourth biggest value in -2\/15, g, 2\/7, 3\/5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17944?\nAnswer: 2, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30352?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2959 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y + 2. Suppose -7 = -4*c + 9. What is the units digit of m(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 39 in 1\/10, -2\/17, 5, -0.4, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -7*z**2 - 4*z + 2. Let r(t) = -t**2 - t + 1. Let i = 19 - 15. Give i*r(h) - y(h).\nAnswer: 3*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v + 5. Let z = -1943 + 2748. Let g = -804 + z. Let t(x) = 7*x + 7. Let y(w) = -4*w - 4. Let b(f) = 3*t(f) + 5*y(f). What is g*p(n) - 4*b(n)?\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 214, 1422, 4672, 10984, 21378, 36874?\nAnswer: 58492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -66444601 and 22178.\nAnswer: -66422423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -194 - -209. Let u be (-3*5\/f)\/(27\/(-12)). Suppose 0*y**2 + 2\/9 - u*y + 4\/9*y**3 - 2\/9*y**4 = 0. Calculate y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1275 is divided by 73?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -94*g - 11. Let z(m) = -13*m**2. What is z(n(h))?\nAnswer: -114868*h**2 - 26884*h - 1573","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -59565 (base 11) in base 12?\nAnswer: -41830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*d - 137768, -73792 = -3*x + 5*d + 29548. What are the prime factors of x?\nAnswer: 5, 71, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 6*j = 0. Suppose -2*g + 2*h + 766 = 0, j = 4*h - 7*h - 9. Suppose 6*a - 1238 + g = 0. Is 18 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51.345 - -48.4. Let d = p - -0.045. Let v = d + 2.8999935. What is v rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three thirds of a decade?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2639565709 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4914666*j**2 - 91*j + 289 wrt j.\nAnswer: 9829332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-3))\/((-2)\/(-12)). Suppose -63 = -b*d + 573. Suppose 0 = 5*g - d - 41. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3889887?\nAnswer: 3, 1296629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 - 2*y**3 + 65*y**2 - 65*y**2 + 2*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4 + 16 = 0. Let h be (-1)\/((-51)\/c + 4). Let u(q) be the first derivative of -q**2\/2 - 2*q + 1. Calculate u(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 226 = t. Let d = 167 - t. What is the remainder when d is divided by (-3 + 0 - -23) + -1?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -101 or -908\/9?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -0*i + i. Suppose -2*h - 4*g - g - i = 0, -5*h - 5*g = -5. Suppose -h*p - 15 = -x - 2, -5*p + 26 = 2*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/76*1\/3*(-10184)\/1072.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g - 2*g + 5*g**2 - 5*g + g. Let w = 12 + -10. What is y(w)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 753.09 - 750. Let j = w + -0.09. Let o = 10 + -13. What is the second biggest value in o, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 3 - (4\/(-1))\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.272757m to kilometers.\nAnswer: 0.009272757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 7*w - 2*w)*((0 + 5 - 4)*(-5*w**3 + 7*w**3 - 6*w**3) - 5*w**3 + 3*w**3 + w**3 + 0*w**3 - 5*w**3 + w**3).\nAnswer: -27*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -105 + 329. Let z = u - 223.8844. Round z to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6836*j**4 - 9117?\nAnswer: 27344*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + d + 0*d = 173, -435 = -5*c - 3*d. Calculate the common denominator of (20\/3)\/(2254\/c) and -15\/7.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 12 - 16 - 4*h)*(-1 - 1 + 3)*(16*h - 16*h + 5*h**2).\nAnswer: -10*h**3 - 20*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzzbbzbbbb. What is prob of sequence bz?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i. Let k(r) = 266*r. Give k(x(y)).\nAnswer: 532*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 188, -0.1, 1\/6 in decreasing order.\nAnswer: 188, 1\/6, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.14956, -14, -3?\nAnswer: -0.14956","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 90.\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*h + 15 = -7*p, p = h. Let v(w) = w + 2. Let d(m) = 1 + 1 - 1. Let g(a) = -d(a) - v(a). What is g(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 7. Suppose -1 - 11 = -u. What is the highest common factor of u and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.129 - -53.941. Round r to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 + 2 + 6 + 2. Suppose -42 = -2*p + c*l, 5*p - 3*l - 88 = l. Calculate the greatest common factor of p and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5477 is divided by 685.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -968 less than -2?\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 493504.1 centuries in millennia?\nAnswer: 49350.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1465100 divided by 1465100?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 3:36 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 5*p - 14 = 0, -m - 656*p = -652*p - 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -30.5, -4\/5, 0.4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.7 + -1.7. Let y = 7.0204 - t. Round y to 3 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o. Let u be b(1). Let z(t) = -u + 6 - 3 + 2. Let f(n) = 2*n + 5. Suppose 0*q = -5*c - 2*q - 26, -5*q = -5*c - 5. Determine c*z(w) + f(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in -4, 0.2, 1\/25, -0.1, -14?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, 62, 258, 604, 1142, 1914, 2962?\nAnswer: 4328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 9 + 21. Suppose j*z - 4*z - v - 123 = 0, -3*v + 143 = 2*z. What is the remainder when z is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -224*p + 175*p + 185*p to w + f*p and give f.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**5\/20 - a**4\/12 - a**3\/6 + a**2\/2 - a + 1. Let l(j) be the first derivative of g(j). Factor l(r).\nAnswer: (r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**5 - 661*k**4 + 330*k wrt k?\nAnswer: -40*k**3 - 7932*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(((sqrt(2) + sqrt(16)\/sqrt(8))*3 - (sqrt(2) + -3*sqrt(2) + 1)) + 5 + -3) + 4)*3.\nAnswer: 30 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/14*658\/(-4). Which is the closest to -1? (a) 3\/5 (b) 2\/19 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000042987 rounded to seven dps?\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7\/75 + 6\/25. Let k be 1\/(2 + (-2 - -2)). Which is the closest to k? (a) d (b) 2\/7 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452*t + 641*t = 333*t - 159*t - 52383 for t.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - 220042?\nAnswer: -220022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15994 + -15989. Let z(j) = 8*j + 3 + 6 - j. Let y(t) = 11*t + 14. Determine v*y(d) - 8*z(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t - 32. Let m be z(-12). Suppose 4*x = 4*c - 24, 3*c - c + 2*x - m = 0. Solve d - c = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 288*s - 2467. Is o(15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -4. What is the third derivative of -5*k**u - 5*k**4 + 7*k**2 - 4*k**2 wrt k?\nAnswer: -120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a + 22 = 0. Suppose a*u - 40 = 7*u. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 18. Which is the closest to s? (a) -0.4 (b) 2\/9 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44817?\nAnswer: 3, 14939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73632311\/315 - -233753. Let w = -2\/63 + r. What is the nearest to w in 5, -3\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234 - 689 + 33*r**3 + 231 - 41*r**2 + 224.\nAnswer: 33*r**3 - 41*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*s + 3*j - 9 = 83*s, 12 = 62*s - 21*j + 25*j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1202944 (base 10) to base 15.\nAnswer: 18b664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5\/15 - 458*n**4\/15 - 27244*n**3\/15 - 106336*n**2\/15 + 372736*n\/5 + 1204224\/5 = 0. Calculate n.\nAnswer: -112, -8, -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18328?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 16*i + 35. Let r be h(12). Let o(m) = -m - 10. Give o(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 725354465 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**3 + 3*s**2 - 3*s**2)*((2 + 3 - 4)*(-1 + 4 - 1) - 1 + 1 + 2).\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3582 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2 - 18. Suppose -3*v - w - z = -0*v, 3*w + 40 = -5*v. Put 5, 0, v in increasing order.\nAnswer: v, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9585 - -12168. Calculate the smallest common multiple of 441 and w.\nAnswer: 18081","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeew. What is prob of picking 2 e?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.061 - -0.061. Is 1\/224 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.533 + 0.163. Let w = d + -2.63. Which is the closest to -3? (a) 2 (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11102121222 + -210?\nAnswer: -11102122202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 19*f**2 + 100*f - 90. Determine x(26).\nAnswer: -2222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 815?\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + -132 + (-30 - -94)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 1. Let m be n(-7). Suppose -a = 0, y - 4*a - m = -3*y. Solve h = -3*z - 17, -3*h + y*z + 3*z = -19 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -27*c**2 + 213*c - 3. Give n(9).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -9*k - 7. Let g(w) be the first derivative of -5\/6*w**3 - 2*w**2 - 4*w + 5. Let f(d) be the first derivative of g(d). Calculate 7*f(z) - 4*y(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1243.\nAnswer: 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**3 - 24*s**2 + 21*s + 4. What is t(11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12012216 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**8\/336 + i**7\/280 - i**6\/96 - i**5\/80 + i**4\/96 - i**2. Determine z so that g(z) = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2245424*q**3 - 15*q**2 + 295821440.\nAnswer: -6736272*q**2 - 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 394591\/12 - 32886. What is the common denominator of m and -23\/17264?\nAnswer: 51792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l. Let w(i) = 79*i - 1. Let f(m) = 33*m - 1. Let j(r) = 5*f(r) - 2*w(r). Calculate j(u(c)).\nAnswer: 14*c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247389802.\nAnswer: 2, 11, 2819, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1176564*s**4 + 758119?\nAnswer: -4706256*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b\/(b**(-2\/5)*b)*(b**(6\/5)\/b*b)\/b*(b**0)**(-16)*(((b\/b**(1\/2))\/b)\/(b\/b**(1\/6)))\/((b*b**(1\/6))\/(b\/(b*b\/(b**(-3\/2)\/b)))) assuming b is positive.\nAnswer: b**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5289709?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5915 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 239093963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 0 - 5*p**2 + 0. Let b(g) = 136*g - 1058. Let j(u) = -106*u + 828. Let y(w) = -18*b(w) - 23*j(w). Determine f(y(n)).\nAnswer: -500*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 12:56 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z + 2*z + 3*z + (5 - 3 - 3)*(-5 - 2*z + 5) - 8*z - 6*z + z + 0 - 2*z + 0 + (-3 - 4 + 5)*(-4*z + 3*z - z) + z + z - 4*z + 2*z + 3*z - 3*z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2 + 3 - z - 3*z + 3*z. Let o(h) = -h**3 - 4*h**2 + 6*h - 4. Let f be o(-5). Let k be j(f). Calculate the greatest common divisor of 70 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.81 + 5. Let z = 54.81 + o. Let q = 55.0027 - z. Round q to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 34, 32, 30?\n\"Answer: -2*k + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139832?\nAnswer: 2, 7, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 55*a + 539. Let m be p(-10). Let f = 0.406 - 0.006. What is the smallest value in 2\/7, f, m, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1389 is divided by 461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37668 by -37668.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -37\/55*i**5 - 4*i**2 + 29\/660*i**6 - 13 + 35\/33*i**4 + 0*i - 1\/1155*i**7 + 392\/33*i**3. Suppose c(x) = 0. Calculate x.\nAnswer: -1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 0.31?\nAnswer: 1.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 10:00 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 973733.\nAnswer: 29, 33577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 566285581?\nAnswer: 29, 19527089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46478850?\nAnswer: 2, 3, 5, 11, 17, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 270 - 18 = 0. Suppose -5*i = -d + 147, 2*d = 3*d + 2*i - u. Suppose 0*h - d = -h. What are the prime factors of h?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3209343.9 and -36.\nAnswer: -115536380.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*c - 858, -2*b - 3*c = -5*b + 513. Which is greater: b or 174?\nAnswer: 174","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6784275 - -30?\nAnswer: 6784305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -216, -432, -648, -864?\nAnswer: -1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -0.045?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 6*z + 1960 - 2029 = 0, -3*z = -d + 28 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 + 4*h + 17. Let d be z(20). Let t = -579 + d. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s**2 + 2*s**2 - 3*s**2)*(3*s**2 - 2*s**2 - 2*s**2) - 101*s**4 + 105*s**4 + 2*s**2 - 82*s**4 in the form g*s**2 + d*s**3 + r + l*s**4 + j*s and give l.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -w**4\/4 + 10*w**3\/3 + 5*w**2\/2 + 9*w + 1320. Calculate h(11).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.223 and 0.037.\nAnswer: 0.415251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3088 is divided by 206.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6*l + 121. Let g be t(-20). Solve -6*i + 5*q - 25 = -2*i, 0 = q - g for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 94 = -2*b + 7*z, -3*b = -z - 131. Suppose -b*j + 72 = -36*j. Calculate the least common multiple of j and 19.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1431186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 12*t + 5. Let n be q(-12). Differentiate 0 - n*s - 4 + 1 - 2 with respect to s.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32681839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by (-30646)\/(-1540) - (-1)\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*g = -76*g - 45. Let n(v) = 2*v**2 - 11*v + 15. Let t(x) = -x**2 + 7*x - 10. Calculate g*n(z) + 8*t(z).\nAnswer: 2*z**2 + z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -1031*t - 1080. Is f(-31) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3 + ((sqrt(216) - (sqrt(216) - (sqrt(216) + (sqrt(216) + 2*sqrt(216) - sqrt(216)))) - sqrt(216))\/sqrt(12) - sqrt(18)))**2.\nAnswer: 30*sqrt(2) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6d0 + 12?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**3 + 2*b**2 - 15*b + 5. Let x(c) = 6*c**3 - 7*c**2 + 45*c - 17. Determine 2*x(o) + 7*y(o).\nAnswer: -2*o**3 - 15*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37\/4? (a) 0.2 (b) 75\/233 (c) 0 (d) 0.5 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*f**4*x - 77599*f**4 - 2*f**2*x - 820877*f**2 wrt f?\nAnswer: -120*f*x - 1862376*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/((c*c**5)\/c)*c*c*c*c)\/(c\/c**15))**(1\/13)\/((c*c\/c**(-6))\/(c**(1\/9)\/c)*((c*c\/(c*(c\/(c\/c**1))\/c*c))\/c)**(-15)) assuming c is positive.\nAnswer: c**(-2660\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -2\/41 (b) 1 (c) -19\/2282\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnin when four letters picked without replacement from {i: 2, h: 4, a: 1, n: 2}?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*m**2 - 1732131*m - 16083470 = 0. Calculate m.\nAnswer: -247438, -65\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 3\/2*x**2 + 2\/3*x**5 - 23\/6*x**4 + 0 + 5*x**3 = 0. What is x?\nAnswer: -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64110 and 57699?\nAnswer: 576990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -67*u + 484. Is 2 a factor of y(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29448682*a*l**2 + 2*a*l + 3025028*l**2 wrt a.\nAnswer: 29448682*l**2 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -15 + (-1 - -2 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 3*x + 24. What is v(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 4*i**3\/3 + 96*i**2 + 368*i - 613. Factor k(j).\nAnswer: 4*(j + 2)*(j + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-23)\/3)\/(((-84)\/72)\/7). Solve 9*i + 14*i - c = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122597, -245172, -367747, -490322, -612897?\nAnswer: -735472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4061 - -4045. Let k = -112.2974 + 128.306. Let y = k + f. Round y to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, y: 3, k: 4, q: 2, z: 7}. Give prob of picking 1 y and 1 q.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**4 + 2*f**4 - f**4 - 2 + (-4*f - 3*f + 5*f)*(f**3 + 4 - 4).\nAnswer: -f**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11661 or 221542\/19?\nAnswer: 11661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 6*s**2 + 8*s - 15. Let g be k(5). Sort g, 2, 3 in increasing order.\nAnswer: g, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m - 29. Determine f(-21).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(30\/40*-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90 (base 14) to base 6.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 63*n**4 - 185*n**4 + 27*n**4 - 8 + 36*n**3 + 2*n**2 - 37*n**3 in the form g*n**3 + o + i*n**2 + k*n + r*n**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + -25. Solve l = p + 5, -j*l + 16 = -5*p - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9693225 + 3?\nAnswer: -9693222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10 + 9 + -7 + -6. Let j = -1 + 0. Let n(c) = -1. Let v(x) = 19*x - 17. Let p(h) = f*n(h) + j*v(h). What is the derivative of p(u) wrt u?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6735 is divided by 41.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q + 1. Let v be u(-1). Suppose 5*y - 195 = -5*r, -5*y = -5*r - 0*y + 175. Let k = r - 151\/4. Sort v, -1, k in decreasing order.\nAnswer: k, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -27*q**3\/2 + 7*q**2 - 6*q + 2. What is the tens digit of n(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1023 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(120\/(-54)) - -5. Let u = 34 - 47. Which is the closest to -0.1? (a) -3 (b) h (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(272) - (-2*sqrt(272))**2 - (sqrt(17) + (sqrt(119)*1)\/sqrt(7))) + -2*(sqrt(612) + -2 - sqrt(612)) + 1.\nAnswer: -1083 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 100 = -4*f - 5*y, -2*f + y = -44. Suppose 0 = -3*d + f*d. Solve -j - 5 + 0 = d for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-735)\/(-2))\/3*924\/(-165). Let v = 1230 + j. What are the prime factors of v?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51 - 22. What is the remainder when (20 + (-2046)\/(-22))\/(2\/2) is divided by d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/51056 and -63\/63820.\nAnswer: 255280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-231)\/24)*18\/72?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3502 at most 3498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (3 + (6 - 7 - -6))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 691.9793ml?\nAnswer: 0.6919793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1411233 (base 5) to base 3\nAnswer: -1110200222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0083 and 0.38.\nAnswer: 0.3717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-30)*25\/(-330)*-3\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2380 - 26162\/11. Let b = -248\/165 + c. Let m = -242 - -242. Which is bigger: b or m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((-2*sqrt(1584) + sqrt(1584))*-4 + sqrt(1584) + sqrt(1584))*4 - 5*(3 + sqrt(1584)*2))**2 + -5.\nAnswer: -30240*sqrt(11) + 1864129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 120 = 5*f. Let y = f + -8. Suppose -4*o + 2*o = -y. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, a: 15}. What is prob of picking 4 d?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24e6 (base 16) to base 7.\nAnswer: -36353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.99 + 3. Let b = x + -2.01. Let v = b - -1.99999996. Round v to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2 + 3 = 0. Suppose 4*b - 19 = 3*b. Calculate the remainder when b is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14649*r = -14594*r - 1210 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11, 4, -41, -142, -317, -584?\n\"Answer: -3*q**3 - q**2 + 17*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-5 + (1 - -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19067.\nAnswer: 23, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + u + 10, 8*w - 4*w + u - 8 = 0. Suppose w*t + t = 24. Suppose -4*x = -t + 2. Which is smaller: 1\/3 or x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 - 75. Let m = 31 + j. Which is the biggest value? (a) 0.5 (b) -19 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47698\/34 + (-38)\/(-323)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 2. Suppose u*m + 100 = 6*m. Let d = 40 - m. Solve -4*y - d = -y + 3*c, -5*y + 3*c - 25 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 4:36 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 625*l**2 - 6*l - 8. Let u be t(-10). Suppose -2*s - u = 31448. What is s rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + -1 + sqrt(19).\nAnswer: -4 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 6. Let b be p(-6). Let w = b - -27. What are the prime factors of (w + -9)*(-1)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 + -49. Suppose g*s = -2*k + 10, k + s = -4*s + 12. Solve -16*r**2 - 2 + k*r**3 + 13*r + 2*r**3 + r**3 = 0.\nAnswer: 1\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1f9 (base 16) in base 5?\nAnswer: 4010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8613.5 + 8613. What is the nearest to -2\/25 in i, -97, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.311*-60550.\nAnswer: -18831.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 12:36 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60 - -65. Which is the smallest value? (a) o (b) -2 (c) -15\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109 - 54. What is the highest common divisor of 22 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.2 - 67800.064088.\nAnswer: -67797.864088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 301\/37 + -269\/74. Let c(j) be the first derivative of g*j**4 + 18*j**2 - 3\/5*j**5 - 29 - 13*j**3 - 12*j. Find w, given that c(w) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**3 + 23374212*t**2 + 34147029853920*t - 239030354315200 = 0. What is t?\nAnswer: -2921780, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 5*j - 37, j - 237 = 2*s + 3*s. Let y = s - -107. Suppose -m - 2*m = -y. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2036 times 0.4\nAnswer: -0.08144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**5 - 1486*s**3 + 18*s**2 - 1 wrt s?\nAnswer: -60*s**2 - 8916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*u + 3*t - 5, 5*u - 35 = -5*t. Let s = -0.99 + 2.9. Let n = s - -0.09. Which is the smallest value? (a) u (b) -4 (c) n (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c**3 + 38*c**2 - 30*c + 64. Give a(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0319893 to three dps.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1165 divided by 3?\nAnswer: -1165\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -13. Suppose -5*j + 25 = 2*b, 0 = 3*b - j - 2*j - 6. Calculate the remainder when g is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/106 and 27\/8794.\nAnswer: 466082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 0 + 10. Let s = q - 7. Suppose -4*y = -4*p - 8, 0 = 2*p + 2*p - 5*y + 13. Solve 3*n = -p*u + 7*u - 24, 3 = s*n + 5*u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -8*j**2. Let b = 11 - 7. Suppose z + 1 - 3 = 0. Suppose 2*a + 16 = -z*c, -4*c - a - 56 = -5*a. Let g(w) = -3*w**2. Determine b*m(v) + c*g(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29162 is divided by 198?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -2.269055.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/12*2)\/(12\/(-40)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 19*y - 5. Let m be u(3). Suppose -m = -q - 4*q + 3*x, -5*x + 27 = 2*q. Suppose 13*j - 96 = q*j. What is the highest common factor of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 17*q + 41. Let p be n(-4). Let u(a) be the first derivative of a**2 + 12*a + 9. Determine u(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 12:19 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c**2 + 3*c - 2. Let p be x(1). What is the highest common divisor of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 33. Let i = -3 + 3. Let c be n(i). Suppose 5*j = -3*a + 43 + 67, 0 = -2*j + a + c. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 886830 and 3402?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 265, -1\/4, 2\/51, -1\/10, 1\/6?\nAnswer: 265","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-9 + 7 - -9) + -1 + -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -39, 0, 2 in increasing order.\nAnswer: -39, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -8*o**3 - o**2 + 7*o - 8. Let n(h) = h**3 - h + 1. Let w(l) = 5*n(l) - r(l). Let k be w(1). Solve -f = -4*j + 42 - 17, k = -2*f + j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7108644 to the nearest integer?\nAnswer: 2666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 153*m + 342 = 118*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*j**3 - 610651*j - 1833346?\nAnswer: 15*j**2 - 610651","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3257664 and 15792?\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 20*j**3 - j**2 - 2*j + 3. Suppose -h = -2*h + 2. Let b be c(h). Suppose 2*y - b = t, -2*y - 5*t + 149 = -0*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1071628, 1071629, 1071632, 1071637, 1071644, 1071653?\nAnswer: 1071664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 0*u**4 + 0*u**5 + 28\/3*u**3 - 4*u - 79\/6*u**6 + 0*u**2 + 91. What is the third derivative of v(f) wrt f?\nAnswer: -4740*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 8 + 0)*(-3*a**2 - 5*a + 5*a)*(4*a + 0*a - 6*a).\nAnswer: 96*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 - 112*t - 147. Calculate p(-54).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5373048 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/51360 and -23\/40.\nAnswer: 51360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 86*k - 1197. What is b(-66)?\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 1604347*c - 448. Let k be 6\/14 - 9085\/553. Let q be u(k). Round q to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x = 24*x + 1. Let y be (9 + (-1)\/x)\/(21\/3). Suppose 4 = 5*w - 6. Is w at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 4) in base 14?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (423\/(-45) + 14 + -7)*110\/(-33)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 11:09 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 4391, 3, 1, -19 in increasing order.\nAnswer: -19, -3, 1, 2, 3, 4391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**5\/3 + 4*y**4 + 56*y**3\/3 + 128*y**2\/3 + 48*y + 64\/3 = 0. Calculate y.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 38 = 2*m, 279*b + 111 = 277*b - 7*m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -783 = -3*o - 2*i, -o - 50 + 300 = -3*i. Does 20 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-8))\/(19932\/6040*1\/(-2)).\nAnswer: -40\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 75479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**4*o**2 + 16*j**2*o**2 - 417*j**2*o + 2*j + 10899*o**2 wrt j.\nAnswer: 24*j**2*o**2 + 32*o**2 - 834*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 11*i**2 + 18*i - 9. What is the units digit of t(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/74392 and -23\/3?\nAnswer: 223176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2481 - (-56)\/16*-2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 4*z - 3. Calculate the smallest common multiple of y(2) and 57.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 0, 154148, 4, -3, 1 in increasing order.\nAnswer: -3, -2, -1, 0, 1, 4, 154148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r**2 + 3*r - 1. Let t(i) = 2*i. Let b be (-10)\/(-14) + (0 - (-4)\/14). Let n be t(b). Give d(n).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/24 and -74\/105?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.14 + 0.16. What is the third biggest value in s, 1\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 q, and 1 n when four letters picked without replacement from {m: 3, i: 1, n: 1, e: 2, w: 2, q: 10}?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-20))\/((-372)\/930)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 9:10 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11674 + 32417 = 505*k + 6938 - 217 for k.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - i**3 + 1)*(5 - 3 - 3)*(4*i - 24 + 24) as p*i + n*i**2 + y*i**3 + z*i**4 + b and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 + 5*q - 12. Give f(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d0b - -2?\nAnswer: -d09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 182\/(-156)*(-4128)\/(-2709).\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**2 - 15*u + 3. Determine b(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2445*p**4 + 48715*p**3 - 239408*p**2 - 27835*p - 805. Let y(k) = k**4 - k**3 + k - 1. Let n(w) = -2*v(w) + 10*y(w). Factor n(o).\nAnswer: 4*(o - 10)**2*(35*o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of 1\/12*i**4 - 13\/20*i**5 + 0*i**3 + 0*i**2 + 0 - 5*i. What is b(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2631 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -8*q. Let d = -32 + 35. Let i(z) = 37*z - 5. Let m be i(d). Let f(n) = 2 - m*n + 102*n - 2. What is f(c(p))?\nAnswer: 32*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -4*g - 135. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.3, 3, -39, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2\/6 - 1468*j\/3 - 979\/2 = 0. What is j?\nAnswer: -1, 2937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, h: 2}. Give prob of sequence tt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 9*m**2 + m - 7. Let o be i(9). Let h be o\/11 + 42\/11. Suppose 0 = 2*r - 3*q - 181, 5*r - h*q - 430 = -q. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m\/(m**(2\/3)*m))\/m)*m)\/m*m**(-1)*m)**(-2\/3)*((m\/(m*m**(5\/4)))\/m**(-4))**(-4\/7) assuming m is positive.\nAnswer: m**(-211\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 800\/(-240)*(-3366)\/150 + 28\/(-35)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*q - 8 + 18 - 10 in the form s + k*q and give k.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366868440.\nAnswer: 2, 3, 5, 199, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 181 = -k - b, 0 = 2*k - b + 191. Suppose 0 = -3*d - d + 3*h - 561, 4*h = -20. Let j = k - d. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6919 and 1309.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/6)\/((-7)\/4). Let g = -997\/5 - -200. What is the biggest value in 5, j, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*n - 20 = 0, -2*o = 4*n + 34 - 10. Let c be ((-20)\/3)\/(1\/3). Let z = o - c. Calculate the highest common divisor of z and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1720875 + 0?\nAnswer: -1720875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 2. Let l be ((-2)\/5)\/(7\/(-70)). Calculate v(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 138. Let z(u) = 17*u**2 - 20. Let g(v) = -7*v**2 + 8. Let r(w) = 5*g(w) + 2*z(w). Determine p(r(m)).\nAnswer: m**4 - 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 3:24 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35200 by -8800.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 416359607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tgn when three letters picked without replacement from ignrt?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.97+-67514039\nAnswer: -67514038.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t = 32. Let p be (2 - t\/6)*9. Let n = p - 119\/4. Sort n, -0.4, 2\/13.\nAnswer: -0.4, 2\/13, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 12*c - 384. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3628288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 7*m**2 + 8*m - 10. Calculate u(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.00135 - -0.80135. Let z be (-4)\/12 + (-2)\/(-6). What is the second biggest value in m, 2\/7, z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1212 - -1217. Solve -2*u - n*o = -21, -3*u + 7*o - 8*o = -12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-10) - (-1)\/5. Let w(g) be the first derivative of -g**4\/4 - g**3\/3 + g**2\/2 - 7*g - 7. Calculate w(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-32)\/q)\/q*q**(-37))\/(q**(1\/2))**(3\/16))**(-1\/7) assuming q is positive.\nAnswer: q**(325\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**9\/84 + q**5\/20 + q**2 - 3. Let s(k) be the second derivative of j(k). What is the third derivative of s(c) wrt c?\nAnswer: -720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddtpnattyttd. Give prob of sequence ttp.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 1044*m + 572. List the prime factors of p(7).\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 659352 by 2.\nAnswer: 329676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 88556 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v + v**4 + 0*v - 3*v**4 + (-1 + 1 + v**3)*(-3*v + 0*v + 4*v) + 3*v**4 + 3*v**4 - 4*v**4.\nAnswer: v**4 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (345\/(-30))\/(1\/(7 + 1)). Let s = 92 + r. Let x(q) = q**3 + 3*q + 2. Let c be x(s). Solve -2*b + 5*y = c*y - 10, -y = -4*b + 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*q**3 - 2*q**5 - 2 - 23*q - 1 + 6 - q**5 wrt q?\nAnswer: -60*q**3 - 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + (1*sqrt(56)\/(sqrt(8)*1) - (-2 + sqrt(7) + 2*sqrt(63))))**2.\nAnswer: -60*sqrt(7) + 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*b + b + 3*b)*(3*b - 2*b**2 - 1 - 3*b) to the form x*b + m*b**3 + a + r*b**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -155 + 4162458?\nAnswer: 4162303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107499691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16220? (a) 0.4 (b) 8 (c) 0 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39512 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 218 + -137. Suppose 0*c = -2*f + c + n, 1 = -c. Let q = f + -20. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2863*s = -1367*s - 1196*s + 402135 - 87427 for s.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*106\nAnswer: -31.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 111 + 128. Let g(w) = 127*w - 1. Let b be g(1). Let t = q - b. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 207 - 204. What is the highest common factor of g and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*i**3 + 4*i - 3*i**2 + 272557 - 272499 - 13*i**3 as b*i**2 + p*i**3 + l + u*i and give l.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1308 = -31*y + 43*y. What are the prime factors of y?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-380)\/70 + 16740\/2310?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4641264, 4641208, 4641152?\n\"Answer: -56*j + 4641320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*c + 4*d = 0, 3*c + 2*d = 1. Let t be (-10)\/(-3)*(4 - c). Let m = t + 1. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21049\/2037)\/((-3)\/(-9)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28758?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 121715 = 14*x - 9*x, 0 = 2*x - 2*c - 48704. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1640 and 902.\nAnswer: 18040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89306?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 743138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 + 302*p**2 + 0 - 305*p**2 - 3.\nAnswer: -3*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 37523787 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u + 6. Let n be (-40)\/(-30)*(-15)\/2. Let d = -21 - n. Let y(f) be the first derivative of -4*f**2 + 17*f - 11. Give d*t(o) + 4*y(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -1. Suppose -2 = -3*z - w*d, -4*z + 4*d + 47 = -z. Suppose -3*m = -z, 15 = 3*s - 6*m + 2*m. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1140, -435, 752, 2421, 4572?\nAnswer: 7205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*v = 20, -2*d - 7*v + 2 = -8*v. Solve 0 = 26*m - 28*m - d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 515, -2, -1088 in descending order.\nAnswer: 515, -2, -1088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 174 - 243. Let x = p + 66. Let h(d) = 15*d**2 - 4*d - 2. What is the units digit of h(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 774486 and 53151.\nAnswer: 7593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnnf. What is prob of picking 2 f and 1 n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -4. Suppose 4*r + m = 10. Suppose 15 = r*l - 3. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4 - r**3 + 14*r**2 + 24*r.\nAnswer: -r*(r - 4)*(r + 2)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7\/2 of a millisecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2588*s**2 - 5 + 19066*s**2.\nAnswer: 16478*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153534.58495 - 2710.\nAnswer: -156244.58495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3301, -3296, -3291, -3286, -3281, -3276?\n\"Answer: 5*i - 3306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2. Let i(a) = -10*a**2 - 7*a - 5. Let t(h) = -2*c(h) + i(h). Let y be t(-3). Round y to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2237*u**4 + 1289*u**2 wrt u?\nAnswer: 53688*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 4. Let l be b(0). Let g be 2 - (1\/(-13))\/((-75)\/(-1285)). Let p = -1\/65 - g. Is l less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 4191.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23190*x + 92726*x - 23180*x - 23166*x - 4 - 23179*x + 4.\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/8)\/(96\/(-256))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -23, -30, -29, -14, 21, 82?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/14, -91, 546 in descending order.\nAnswer: 546, -9\/14, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = q + 4*m, -q - 2 - 12 = -m. Let c be (-38)\/q - (-6)\/21. Suppose c*p = -2*p + 955. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76615241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29 + 29 - b**3)*(-2 - b + 2) + (b**4 - 2*b**4 + 3*b**4)*(-1 - 10 + 13) as c*b**3 + t + p*b**4 + u*b + g*b**2 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000642131 to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20\/35)\/((-2)\/(-14)). Let a(b) = 59*b + b**3 - 59*b + 6*b**2 + w. Let z be a(-6). Solve -p - 3*p - 9 = -m, 0 = 3*m - z*p - 19 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -4. Let i(r) = r**3 + 3*r**2 - 5*r - 2*r**2 - 1 + 2*r**2 - 3. Let o be i(d). Is 1\/3 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2953*k - 24328*k - 3075*k + 9580*k - 25169*k.\nAnswer: -40039*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7683218 litres?\nAnswer: 768.3218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 25612288 divided by -169\nAnswer: -151552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4221719543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*n = 91*n + 100 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2\/11, -2\/21, -5 in increasing order.\nAnswer: -5, -1, -2\/11, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 10873133000 to the nearest 100000.\nAnswer: 10873100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 w when four letters picked without replacement from {w: 5, s: 11}?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - f - 1. Let w(h) = 2*h + 2 - 4483*h**2 + 0 + 4480*h**2. Give -5*q(u) - w(u).\nAnswer: -2*u**2 + 3*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7647622 is divided by 1135.\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*r**3 + 6*r - 4 + 10*r**3 - 6*r**3 - 2*r**3.\nAnswer: 30*r**3 + 6*r - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-32) - (-3194)\/8. Suppose -2*y + 302 = n + 2*n, 0 = 4*n - y - m. Calculate the highest common divisor of 40 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 7*r - 60 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1266013364 rounded to the nearest 100000?\nAnswer: 1266000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, f: 1, o: 2, a: 1}. What is prob of picking 1 f, 1 o, and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 334 - 294. Suppose t = -187*k + 188*k. What is the greatest common factor of 260 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 441 or 12772\/29?\nAnswer: 12772\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14 (b) 0.2 (c) 4 (d) 2\/5 (e) 0.06 (f) 7\/5 (g) 33\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 858\/1872*-12*336\/(-77)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 49, -3\/34, 0.5, 0.2, 19, 3?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 4*u = -30, -4*i + 28 = 13*u - 9*u for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 - 4*o**3 + 4*o**3)*(-432134 - 734*o + 432134) - o**4 + 2*o**4 + o**4.\nAnswer: 1470*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -110101000110110000001 (base 2) in base 11?\nAnswer: -a89455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2 + 37 = 3*z, -2*z + r + 25 = 0. Let i = -9 + 4. Let p be 36 - 0 - 0\/i. Calculate the highest common factor of z and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.2 (b) -5 (c) 4 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 481*g = 2800 - 876 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-6) - (-8)\/6. Which is greater: 0.119 or x?\nAnswer: 0.119","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 31*q**2 + 55*q + 814. Give b(-30).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 1075464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 16 - ((0 - 2) + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zp when two letters picked without replacement from pzrrzrrnzzz.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*c + 1)*((1 + 0 + 0)*(c - 9 + 9) - 2*c + c - 2*c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -19 - 36. Let q = -21 + g. Does 2 divide (-75)\/q - 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3763*t**4 + t**2 + 7*t - 7 wrt t.\nAnswer: 90312*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/2 + 4\/8. Which is the second biggest value? (a) d (b) 2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 18.984. Let o = 0.016022 + n. Round o to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**2 - 6 + 0 + 6 - 15*b + 8 - 4*b**2 to the form w + s*b**2 + n*b and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150417376 and 7008.\nAnswer: 2336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, w: 11}. What is prob of sequence bb?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1684986 and 148482?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1*(sqrt(272) - (sqrt(272) - (sqrt(272) + -2))) + sqrt(272) - sqrt(272)*-2*-2)*3)**2.\nAnswer: 1152*sqrt(17) + 39312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4.032763m?\nAnswer: 403.2763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 136 + -10. Let b = o - 74. Suppose -b = -2*f + f + 4*t, 0 = -4*t + 16. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4252, 4256, 4258, 4258, 4256, 4252?\n\"Answer: -i**2 + 7*i + 4246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4050 <= 44553\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 9*y - 1. Let c be u(10). Factor 2*w**2 + 3*w**2 + c*w**3 + 3*w + 2*w**2 + 3*w**4 + 2*w**2.\nAnswer: 3*w*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 8*b + 9. Let s be y(-7). Calculate the smallest common multiple of (s + -2 - -1) + 3 and ((-1)\/2)\/((-4)\/80).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + d + 4, -1260*r + d + 10 = -1257*r. Solve r*a - 11*s + 9 = -12*s, -31 = 5*a - s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 136 = 2*h, 5*v - 53 = h - 11. Let a = h - -32. What is the units digit of 66\/5*(-100)\/a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11628 and 228?\nAnswer: 11628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 1:58 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + b + 1. Let y(q) = 4*q + 2. Determine m(h) - y(h).\nAnswer: h**2 - 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z = -15*z + 588. Suppose 0 = -5*t + 4*t - 386. Let n = z + t. Does 28 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-9)\/(-30) - 25\/(-10).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17546*p**3 - 51249*p**3 - 48745*p**3.\nAnswer: -82448*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 4, -2*d - 2*j = 2*d + 16. Sort 1, d, 4 in decreasing order.\nAnswer: 4, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 + 9 = 5*v. Solve -5*g + 5*i = -3 - v, -2*i - 2 = -g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22425 and 15249?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -180*b - 140*b + 1705 + 3095 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-1*4\/12*-3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a8 (base 12) in base 6?\nAnswer: -1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0753928 meters in millimeters?\nAnswer: 75.3928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 + 392*b**2 + 1592*b + 1600.\nAnswer: -2*(b - 200)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 734309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**26*q**(-27) assuming q is positive.\nAnswer: 1\/q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/(-56) + (3\/12 - 0). Let v be t\/(-7 - -2 - -10). Let k be (-4)\/16 + 2\/(-24). What is the second smallest value in -3, k, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - -24. Suppose -c + 12 = -4*h + 5*d, 3*d = 5*h - 40. Suppose h*w = 19*w - 160. What is the remainder when 38 is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 635767 + 0.2.\nAnswer: 635767.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (sqrt(77) + ((2*sqrt(77) + sqrt(77) + sqrt(77) + sqrt(77) + sqrt(77))*4 - sqrt(77) - sqrt(77)) - sqrt(77)))\/(2*sqrt(33)\/sqrt(3)) + -5.\nAnswer: -5 + 23*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 34*j**2 - 6*j. Let o(w) = -11*w**2 + 2*w. Let r(n) = -5*b(n) - 15*o(n). Let i(k) = -2*k**2 - 273. Determine r(i(u)).\nAnswer: -20*u**4 - 5460*u**2 - 372645","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -23 + -11 + 42 + -10\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2 - 3*b + 7*b - 7 + 13673*b**2. Let z be n(7). What is z rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + sqrt(396) + (sqrt(396)*-2)**2).\nAnswer: 24*sqrt(11) + 6344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.298 + 1.3. Let f = z + 0.06. What is f rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, -9, -3, -5, -25.\nAnswer: -25, -9, -5, -3, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 12 = -4*x - 2, 0 = x - 4. Suppose -2*k + z = 2*i - 6*k, -3*k = 3. What is the remainder when 36 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 765\/2879 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319 = 197642*h - 197669*h + 842 for h.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 23\/(6923\/(-1892)))*(-16)\/(-18).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-4)*(60\/18)\/(-5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05 + -434340908319.\nAnswer: -434340908319.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -3 + 13 + -1 + 8 - -92.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -141*h - 141*h - 147*h - 9 + 486*h to n + k*h and give k.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-1 + (0 - 2)). Suppose 2*w + 9 = s*w. List the prime factors of -4*(w\/(-3))\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((-2 - -11) + -11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**4\/8 - 5*o**3\/6 - 2*o**2. Let p(q) = 21 + 2*q - 3*q - 6*q - 5*q. What is -5*p(z) - 21*v(z)?\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 78055, 68760, 59465?\n\"Answer: -9295*y + 87350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q - w + 122 = 146, -3*w = 4*q + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, m: 6, z: 1, k: 4}. Give prob of picking 2 k.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z - 2. Let b(u) = 2*u - 3. Let p(k) be the third derivative of k**5\/12 - 7*k**4\/24 - k**3\/3 - 13*k**2 + 3*k. Let a be p(2). Give a*b(c) - 5*d(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -5. Suppose -x - p*y - 16 = 0, 0 = -3*x + 7*x + 3*y - 1. Solve -x*r + 4 = -2*s - 2*s, 4*r = 16 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 0, -3, 3\/2, -28?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, 54187, 0.4, 3, 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 1305 = -11*n + 4*u, 0 = 3*n + 4*u - 783. Calculate the greatest common divisor of n and 696.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1654 (base 8) in base 7?\nAnswer: -2512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 8*t**2 + 13*t - 15. Let c be q(9). Suppose -6*a + 123 = -c. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(5*k**5 - 4*k**5 - 5*k**5) - 6*k**5 + k**2 + 2*k**3 + 3*k**5 + 4*k - 3*k.\nAnswer: -7*k**5 + 2*k**3 + k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 0 + 4. Let c = -4 + h. Is c + -3*382\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1)\/(132\/(-24)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.74 + 0.26. Suppose -2*w + 10*w - 40 = 0. Suppose 2*t - 3 = m + w, m = -2*t. Which is the closest to s? (a) m (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 - -3.6. Let r = 83310 - 83316. Put q, r, 1 in descending order.\nAnswer: q, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*t - 22*t = 16*t + 8048343. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92)\/(-23) + 1 + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 2072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112, 102, 78, 34, -36?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28.95 + 30. Let t = -0.01 + -0.04. Let k = t + z. What is the nearest to k in 1, -0.5, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 12. Let k = p + 8. Let z = 4724 + -4723.9. What is the nearest to -1\/5 in 2\/9, k, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-1 - 306\/45*(-30)\/40.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2 - 7 = y, h - 3 = -y. Let j be (-28)\/(-6) + h\/3. What is the units digit of 2\/(j\/(-3))*-12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddzdzdddddddzzdd. Give prob of sequence dzzd.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rerr.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 128261555 and 87635.\nAnswer: 2180446435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26076 and 1?\nAnswer: 26076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-295)\/(-15)*(33 - 3). Suppose u = 5*d - 895. List the prime factors of d.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3\/4 - 411*k**2\/2.\nAnswer: -3*k**2*(k + 274)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(16\/3)*q*q*q)*q)\/q**5)**(7\/4) assuming q is positive.\nAnswer: q**(-119\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.6114us in seconds?\nAnswer: 0.0000086114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 smaller than -136\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8314434 divided by 158.\nAnswer: -52623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/4 + 7 + -9.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/52016 and -109\/12496?\nAnswer: 40624496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -z - 1, -1021*c + 1019*c + 10 = -4*z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 637 minutes after 3:18 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 3*r + 24, -4*r + 35 = -5*s + r. Suppose -20 = -4*l + 9*l - 5*f, -l + 5*f = 8. Let t = s - l. Sort 1, -2, t.\nAnswer: -2, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -34*j**2 - 856*j - 145. Calculate h(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 67*i*q**2*r + i*r**3 - q**2 + 26*r**3 wrt i.\nAnswer: 67*q**2*r + r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -1856234\nAnswer: 4\/928117","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 114*h*k**3*p**3 - 2*h*k**3*p - 5*h*k**2*p**3 - 121*h*k**2 - 69*k**3*p**2 + 2*k**2*p**3 + k**2*p wrt k.\nAnswer: 684*h*p**3 - 12*h*p - 414*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21302261.\nAnswer: 21302261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1906 + 1907. What is the fourth biggest value in t, -5, -45, -0.5?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 2, -2, 0 in descending order.\nAnswer: 2, 0, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**2 + 3*h - 11*h**2 + 10*h**2 - 2*h**3. Let j(t) = 2*t**3 - 3*t**2 - 4*t - 1. Give 2*j(c) + 3*x(c).\nAnswer: -2*c**3 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/x**1)\/x*x*x**(-2\/5)*x)\/(x**(5\/2)*x*x**(-5))*(x**0)**(-1\/8)*x**(-3)\/((x\/x**4)\/x) assuming x is positive.\nAnswer: x**(41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -611.8356 times -38?\nAnswer: 23249.7528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -3*p**5\/2 + 12255*p**4 - 611253*p**3\/2 + 1539759*p**2 - 2883558*p + 1857060 = 0?\nAnswer: 2, 19, 8145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l - 3 - 7 + 9*l - l**2. What are the prime factors of s(9)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -59, -60, -61, -62, -63, -64?\n\"Answer: -x - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12 - 4 - 5) + (0 - 0). Suppose 0 = y + 6*p - 7*p - 47, -5*p + 125 = m*y. Solve 0*n = -3*n - a + 11, -y = -5*n + 5*a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 20294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5 = 3. Suppose -5 = -3*f - j. Suppose 5 = -3*c - f, 4*c + 2 = -o. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104200 - -1213?\nAnswer: 110413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1726970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76486862.\nAnswer: 2, 29, 1318739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2 + sqrt(1331) - sqrt(1331)*2*-4 - (5 + -2 + sqrt(44) + -3))**2.\nAnswer: -582*sqrt(11) + 103508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*a - 1832801 = -51*a + 768051. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -232971936 by 58242984.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6030 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 188 and 156?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 21\/3 + 0\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (912\/(-93))\/2 - ((-46)\/(-2) + -28)\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/12 and 125\/9408?\nAnswer: 9408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - k**2 + 15*k + 0 - 13*k.\nAnswer: -k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 890 = p, 3571 = -15*p + 19*p - 5*y. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2. Let f(j) = -5810*j**2 - 42*j + 21. Let k(o) = 581*o**2 + 4*o - 2. Let p(v) = 2*f(v) + 21*k(v). Give p(m(w)).\nAnswer: 581*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/6 - 24\/(-16). Suppose p*c - c = 141. What are the prime factors of c?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + -1 + sqrt(17) + ((sqrt(68)*-2 - sqrt(68) - sqrt(68))\/sqrt(4))**2).\nAnswer: 3*sqrt(17) + 801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 5*v = -189. Let u = v + 63. Suppose 5 - 3 = f. Sort u, f, -10.\nAnswer: -10, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**3 - 44*x**2 - 121*x + 49. Let k be i(-21). Calculate the greatest common factor of 56 and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v**3 - 13*v**3 + 2*v**2 + 4*v**3 + 5*v**2.\nAnswer: v**3 + 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7*w**2 - w - 6. What is the tens digit of j(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4053129858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2020 divided by -1867.\nAnswer: 2020\/1867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k = -75*k + 43*k + 861 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-9)\/(-25)))\/((-770)\/2772)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 137001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a - 11*a - 67*a.\nAnswer: -67*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 222 = -50. Suppose 4*p = 4, a*k = 20*k + 4*p - 22. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -45. Let b be (-6)\/(-27) + (35\/h)\/5. Suppose 4 + 25*f**2 - 3*f**3 + 2 - b - 20*f - 7*f**3 = 0. Calculate f.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -188\/7763?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29919918143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2605?\nAnswer: 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*d = -116*d + 10. What is l in 10*l**d + l + l - 11*l**2 - 1 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7179283t in micrograms?\nAnswer: 717928300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3)*((-18 - (-260)\/20) + 225\/18)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-912732)\/70 - (-1080)\/(-1890))*5*-1 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 68 - 37 + 73 + 2*n in the form u*n + h and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 225445.\nAnswer: 1352670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 + 2*q - 7. Let p be o(-3). Suppose p*m = 5*u - 6845, -4*m + 558 = u - 811. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 217985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 59774.62 * 0.3\nAnswer: 17932.386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4840 * -12\nAnswer: -58080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -o + 5*m - 96, -4*m = o + 136. Let l = -112 - o. Solve 6*u - l*u + 4 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -102.5 - -78.38. Let g = x - -25. What is g rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = 4*o - 3*o - 3*q, o = -q + 147. Suppose -4*u + t = -5*u + 50, -3*u + 4*t + o = 0. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 103 = -5*k + 2, 47 = 4*k - 5*s. What is the smallest common multiple of 36 and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*r - 2120 + 753, -3*y - 3*r = -831. Let i = -255 + y. What is the highest common factor of i and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/40, 1115, 0.1 in decreasing order.\nAnswer: 1115, 0.1, -1\/40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -396\/13 (b) -2 (c) -0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 g when two letters picked without replacement from {g: 7, h: 6, b: 2, s: 1, y: 4}?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 348899399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25440 + -17?\nAnswer: 25421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k - 732 - 18. What is k rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17.3 - -14.4. Which is the second biggest value? (a) -4\/5 (b) 0.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 5:55 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k**2 - 71 + 115 - 43 + 3*k**3. Let i(d) = 13*d**3 + 3*d**2 + 2 - 1 - 11*d**3. Let q = 9 - 4. Calculate q*i(c) - 3*r(c).\nAnswer: c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 59 in 2\/9, -0.01, 3, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sk when two letters picked without replacement from {w: 2, s: 11, d: 2, k: 1, c: 3}?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1679028.\nAnswer: 2, 3, 13, 47, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04 - -3.04. Let z be 5 + -2 + -1 + 2 + -6. Put n, 0, z in decreasing order.\nAnswer: n, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, i: 4, p: 1}. Give prob of sequence poi.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {y: 4, p: 4, m: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -7. Let r be (b - 0\/(-2)) + -3. Let i = 7 + r. Which is smaller: i or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11894804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*c - 220*c - 2160 = -57*c for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0769609 to four dps.\nAnswer: 0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5039 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from {w: 1, y: 14}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q**2 - 29*q - 13. Determine c(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 6*c**2 + 3*c - 2. Let l be i(-7). Suppose u = -11 + l. Calculate the remainder when 27 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 2*x**2 - x + 4. Let t be z(2). Solve 0*f - 4 = -t*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1170, 2332, 3494, 4656, 5818, 6980?\nAnswer: 8142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.03 from -6982.\nAnswer: -6977.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-72)\/(-12) + (2 + 3)\/(-1). Solve -14*d + j = -13*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 - 3) + (1 - (-500)\/4) is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-9)*-9*(1\/135)\/(72\/(-60))?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 10 = 4*a, 0 = 6*a - a + 4*i - 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m - 7. Let s be y(-3). Is s*1 + (25 - -2) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 21*m - 15. Let q be d(20). Solve -5*g = -5*y - 10, g = -g - q*y - 24 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0030982635 to 4 decimal places.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42473517, 42473512, 42473507, 42473502, 42473497?\nAnswer: 42473492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -q + 3, -4*q - 4*y + 1 = -7. Is q\/(-4) - (-65)\/4 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*1 + 11 + 308. Suppose -5*s + 803 = 3*u, -2*s - u = -4*u - z. What is the common denominator of (-1 - 1)*(-246)\/s and 29\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -7. Suppose -c - 4 = -8. Suppose c*p + 2*g + 9 = 1, -g = 3*p + 7. What is the second biggest value in p, u, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -316, -631, -946, -1261, -1576?\n\"Answer: -315*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -23. Solve o + 2*k + 12 = -3*k, -b*o - 3 = 4*k for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 9*k**4\/40 - k**3\/15 - 9*k**2\/20 + k\/5 - 3174. Factor g(t).\nAnswer: (t - 1)*(t + 1)*(9*t - 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -221 + 221.000001045. Round p to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29664 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8676 - 8676 + 1069*h**3.\nAnswer: 1069*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/20565 (b) 0.4 (c) 1\/40 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -9. Suppose -8 = -2*c - a*c. Suppose 3*g - 2*k = 12, 3*g - c*g = 4*k - 4. Solve 10 = u - g*x + 1, -4*x = 3*u + 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -93950 to the nearest one thousand.\nAnswer: -94000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -754*o + 3. Let m(h) = 7*h + 1. Determine 2*m(b) - t(b).\nAnswer: 768*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304 = 28*h - 384 - 40 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*q + 3*q = -0*q + 266 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 0 - 284. Is g a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/2 - 0)*2. Let j(x) = x**2 - 2*x + 2. Let y be j(w). Suppose -2*a + 50 = y*d - 3*a, -d + 2*a + 1 = 0. Calculate the remainder when d is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 7*c + 57*c**2 + 3 + c - 52*c**2. What is g(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.6 and -30708.224.\nAnswer: -30706.624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 = 5*a + 210. Let l = a + 106. Let i be 276\/15 - (-4)\/(-10). Calculate the highest common factor of i and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13815\/32857 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 11:34 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-11\/9)\/x**(-42)*x**(-38\/7)*(x\/x**(1\/2))\/(x*x*x\/(x*x*x*x**(2\/5))) assuming x is positive.\nAnswer: x**(22837\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/(-20)*20\/(-6). Suppose f - l*f = -339. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29035?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (-13)\/(26\/24). Let m = -6 - u. Let z = 13 + m. Does 18 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 a when four letters picked without replacement from vvavvvav?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14076*u**2 - 14085*u**2 + u**3 + 42243*u**2 - 14085*u**2 + 2*u**3.\nAnswer: 3*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-4)\/d))\/d)**31*d**(18\/5)*d*d**(-28)*d*d assuming d is positive.\nAnswer: d**(668\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 50*p + 561. Let o be n(-47). Solve 19*b - 401 + o = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2697*j + 9092*j - 140609 = 556446 for j.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -111607 + 111613. Let f(i) = -3*i. Let n = -6 + 4. Let v be f(n). What is the greatest common factor of v and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -361380100*u**3 + 28187571760*u**2 + 5931116*u + 312 = 0.\nAnswer: -1\/9505, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -206 - -1852\/9. Let g = 1\/4 + 0. What is the nearest to f in g, -3\/5, 2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3092 or 4?\nAnswer: 0.3092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 10:00 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295744473?\nAnswer: 3, 3259, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -3*p + 2*l, 2*l = -3*p + 6*l + 137. What are the prime factors of p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 8*y. Let x be (1 + (-1)\/3)*3. Suppose 6 = -y*i + x*i. 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 remainder when 780 is divided by 87?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*b = -218*b + 7458 - 1190 + 10282 for b.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xw when two letters picked without replacement from {x: 6, i: 9, m: 1, w: 3}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 1830 = 4*j. Let x = j + 285. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 520 = -1024. Suppose r - j = -23*r. Factor 0*w**2 - 4\/3*w**r + 0*w + 14\/3*w**4 + 0.\nAnswer: 2*w**3*(7*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 0*h + 3*h - 5*h. What is the smallest common multiple of o(-4) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4589657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 6 + 25*d**2 + 3487*d - 124*d**2 - 3485*d.\nAnswer: -99*d**2 + 2*d - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/10)\/((-2)\/20). Let w = 2 + 11. Calculate the remainder when (-2 - -4)\/(h\/98) is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s + 2. Let y be x(0). Suppose -2*p - 5*d - 15 = 0, 3*p + 5*d - y = -12. Solve r - 8 = p*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3549990 = 2*q, -5*q - 1030954 = 4*s - 3870979. Suppose 0*j + s = -j. Round j to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -12*i**3 - 55*i**2 + 29*i - 18. Does 48 divide d(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*a - 1, 10*a - 15*a + 4 = -s. What is the closest to a in -0.5, -4\/5, 7, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 9\/(-6) + (12\/24 - -1). Sort -9, -4, -14, o, 3 in ascending order.\nAnswer: -14, -9, -4, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 13) in base 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15066 and 2196.\nAnswer: 1838052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 + 2*y. Let n(j) = -8*j**2 + 9*j. Let w(z) = 5*z + 258. Let t be w(-52). Let c(h) = 5*h - 1. Let s be c(2). Calculate s*i(l) + t*n(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -207 - -207. Let z(b) be the first derivative of 0*b**3 + 2 + 0*b**5 + 1\/36*b**6 + 0*b**2 + u*b - 1\/24*b**4. Factor z(g).\nAnswer: g**3*(g - 1)*(g + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -245 or -0.1134?\nAnswer: -0.1134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040947445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192082813.\nAnswer: 13, 17, 869153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11, 557, -3?\nAnswer: 557","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rorosoossoporo. What is prob of sequence so?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 + 0. Let i = -50 + k. What is the least common multiple of 24 and i?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 246766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (116 - 94) + -14 - (1 - 290\/(-41)).\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 4*i - 24 = 0, -3*i + 0*i + 19 = -4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 323*d + 328*d + 358575 = 0, -42 = 7*d. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4649810 divided by -422710?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6*93\/62.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 821*y**3 - 443*y**2 + 4*y. Let b(r) = 2*r**2 - 2*r. Let j(l) = 2*b(l) + h(l). Find the third derivative of j(t) wrt t.\nAnswer: 4926","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -v + 4. Let q be (4\/3)\/(v\/(-6)). Let k = 11 - 8. Sort 4, k, q in decreasing order.\nAnswer: 4, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 18. Suppose v = -5*y + 77 - 72. Put y, -3, 6, 0 in decreasing order.\nAnswer: 6, y, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 76306\/63 and 1212 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + u - 8. Let d be s(3). Suppose -2*x + d*b + 20 = -12, -4*b = 3*x - 58. Calculate the least common multiple of 10 and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.9939399 - 7.99394008. Let i = o + 3. What is i rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225622.\nAnswer: 2, 97, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 b when three letters picked without replacement from cbpmempbd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*s + 2*y, -5*y - 7 = 3*s - 22. Solve -o + 3 = s*l + 14, 3*l + o = -5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -69 - 5*f**4 + 2*f**3 + 67 - f**3 as g*f**4 + a*f + h*f**3 + u + p*f**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32835 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -101010111100100100?\nAnswer: 101010111100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6910, -6908, -6906, -6904, -6902?\nAnswer: -6900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 13016 = -4*m - 3737, -3*m = a - 6968. Let f = -562 + m. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from {x: 6, d: 7, n: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (82\/451)\/((171\/(-38))\/((-66)\/(-32)))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 5*v. Let s be l(-5). Suppose 5*f + 5 = s, -3*f - 165 = 4*g - 6*f. What is the tens digit of (0 - 3) + g\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 22253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3324 + -20203?\nAnswer: -24032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128603.1997445 - -0.1.\nAnswer: -128603.0997445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5757 divided by -1?\nAnswer: -5757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 11:00 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 62861, 62823, 62785, 62747, 62709?\n\"Answer: -38*h + 62899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z\/z**5)*z*z*z**(-14)*((z**(-15)\/z*z)\/z)\/(z\/(z**(6\/7)\/z)) assuming z is positive.\nAnswer: z**(-176\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 514 + -512. Suppose -28 = f*y - 66. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 + 47. What is the remainder when 33 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 5:47 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3039?\nAnswer: 3, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -515 = -u + 218. Let i = u - 314. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 2 - -4*2. Let s be (-6)\/(-4)*n\/12. What is the nearest to -2\/7 in 2, s, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68 and 7094.\nAnswer: 241196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 71707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 200*h**4 + h**3 + 14*h**2 + 18*h wrt h.\nAnswer: 4800*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - a = -6*a + 40, -40 = -4*o - 4*a. Suppose -6*x + 14 = -o*x. Which is smaller: 13 or x?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**5\/12 - 7*z**4\/24 + z**3\/3 + 3*z. Let d(y) be the second derivative of r(y). What is the derivative of d(g) wrt g?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94\/(-1034)*2*2\/4\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -11)\/((-6)\/(-8)). What is the units digit of 4\/((-16)\/s) - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 3, 0, 7.6, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 4.105?\nAnswer: -8.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 + 118. Suppose 52 = 5*k + 3*j - 284, -4*k - 2*j = -268. Calculate the greatest common factor of r and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 0*p**3 + 0*p - 5\/2*p**2 + 6\/5*p**5 - 3 + 0*p**4. What is the second derivative of r(t) wrt t?\nAnswer: 72*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -1. Let z(b) = b**3 - 5*b**2 + b - 2. Let c be z(5). Let q = c - 1. Which is smaller: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-95)\/(-70))\/19)\/((-2)\/(-8)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -54*y**2 + 21*y**2 + 10*y**2 + (-1 + 1 + y)*(-y - 4*y + 3*y) - 4*y**2 + 5*y**2 - 3*y**2 + (10*y + 12*y + 32*y)*(0 + 0 + 2*y).\nAnswer: 81*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461 - 566 = -6*j + 21*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3404002081 to the power of 1\/2, to the nearest integer?\nAnswer: 58344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.16 - -1.16. Which is the closest to j? (a) -2 (b) -0.3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14415*-148.\nAnswer: -2133420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/((v**(1\/3)*v)\/v*v))**2 assuming v is positive.\nAnswer: v**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*g, -4*g + 0*g = -3*o. Suppose g = 2*z + 5 - 1. Is -2 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+1274479\nAnswer: 1274478.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10233, 20701, 31287, 42051, 53053, 64353?\n\"Answer: 10*z**3 - z**2 + 10401*z - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-4)\/(-20)*35\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l + 11. Let d be f(-5). Let n = d - 20. Suppose 0 = -n*w + w + 320. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 135*u**3 - 4*u - 259*u**3 - u**2 + 122*u**3 + 1062 + u**2 as a*u**3 + f*u + z + n*u**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, b: 7, f: 4}. Give prob of picking 1 b, 1 g, and 1 f.\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15915*q - 31918*q - 34 + 15843*q)*(1 - 3 + 1) to z*q + a and give a.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 135*c**2 + 2222*c + 1642. Determine m(-116).\nAnswer: -446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 9. Suppose 0*s + 2*s = q. Solve s*y = -3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 divided by 8.\nAnswer: -77\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 111 = -5*f, -z + 0*z - 2 = 0. Let p = f + -1. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -167 + 255. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 42 (b) 0.3438 (c) -4\/15 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (5760\/(-210))\/(-4) + 36\/7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.026 + 0.426. What is the third biggest value in 1\/8, -2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3117\/4 - -10591\/12. Let v = 104 - l. Let 0 + 2\/3*s + v*s**2 = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-14)*((-105)\/14 + 4). Let m be (2\/(-1))\/(1\/(-6)*c). Suppose 0 = -s - m*v - 8, 5*v + 72 = 5*s + 12. Sort 4, s, 1 in decreasing order.\nAnswer: s, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 + 3*k - 16. Calculate t(-5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t**2 + 5*t + 1. Let p(k) = -k + 8*k - 8*k - 155*k**2 + 307*k**2 - 153*k**2. Give 5*p(y) + w(y).\nAnswer: y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjr when three letters picked without replacement from mrjrmrm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -20*k + 1. Suppose -2*z - 10 = -0*z. Let v be o(z). Let x = v + -29. What is the highest common divisor of x and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -90.92 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i + 22543 - 259867 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 4476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 601\/5 - 121. Let t(i) = 155*i + 774. Let j be t(-5). Let g = 5.97 + -6. Which is the nearest to -3? (a) j (b) g (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -876299.\nAnswer: 350519.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -382 - 2?\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -77.7677 - 24?\nAnswer: -101.7677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/143899 + 26053819\/388527300. Calculate the common denominator of h and 89\/15.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1613 is divided by 833?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127353145*m**2*y**2 - 61836675*m**2*y + m*y wrt y?\nAnswer: 254706290*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5858*u = 5795*u - 126. Which is the third smallest value? (a) 1\/2 (b) -2\/2769 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 375677489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 33.4 (b) -1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8) + 2 - (-4*sqrt(2) + 1).\nAnswer: 1 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 7:12 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -293 - -276. Let q(c) = c**2 + 8*c - 63. Is q(x) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -258*w**4 + 553*w**2 - 570*w**4 - w**5 + 165*w**2 wrt w.\nAnswer: -60*w**2 - 19872*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -714 = 27*u - 66 for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 y when three letters picked without replacement from {f: 3, b: 1, l: 1, y: 9}?\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**3 - 30*y**2 + 266*y + 62. Calculate f(7).\nAnswer: -575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 4\/(0 - -2). Solve 0 = b + b - g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-4\/5)*j**(-3\/14)\/j*j assuming j is positive.\nAnswer: j**(-71\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -65 + -404?\nAnswer: -469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 767649 and 885?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**4\/8 + 10*p**3\/3 + 6*p**2. Let n be f(-6). Solve 3*z = z - n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -38*s**6\/3 - 16*s**5\/5 - 188*s**3 + s**2 - s + 783. What is the third derivative of m(j) wrt j?\nAnswer: -4560*j**2 - 384*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 4:21 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*f - 5 = 7, -3*c = -4*f + 16. Let a(y) = -y. Let i(t) = -2*t + 1. Let r(o) = 3*a(o) - 2*i(o). What is r(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)*k)**(12\/7) assuming k is positive.\nAnswer: k**(-48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -11001*m. Let z(w) = 18*w. Determine z(v(j)).\nAnswer: -198018*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -37890500 to the nearest 1000000.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-199296)\/179920 + (-42)\/(-39)?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*o**3 - 3)*(4*o**2 + 8*o - 8*o).\nAnswer: -8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/50*5 + (-4)\/(-10). Let u(h) = h**3 - h**2 - h - 10. Give u(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1160236 and 3330028.\nAnswer: 256412156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -88037055*d*v**3 + 3*d*v**2 + 13631*d*v + 47*d + 2*v**2 - 4*v wrt v?\nAnswer: -528222330*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (-14)\/(21\/48*-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14232 is divided by 226.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 2\/3, -24?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -66? (a) -32 (b) 0.1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-30)\/72*(-45)\/(-2) and 1\/110.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 12:46 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 4*h + 5*p, 3*p + 0 = 7*h + 6*h + 13*p - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 708 a factor of 2091287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -588, -385, -182, 21, 224, 427?\nAnswer: 630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120007593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -8*b + 19 + b + 4*b**2 + 0*b - 29 + b**3. Let n be f(-4). Let o = n - -242. What is o rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 39*s + 41*s - 440 = 0, 4*r - 2*s = 416. Calculate the remainder when 639 is divided by r.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhhhlyypchpx. Give prob of picking 2 y and 1 p.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 5*i - 7. Suppose -39 + 9 = -10*f. Suppose -3*g = -4*a - f - 74, g - 2*a = 27. Suppose g = h + 18. Determine w(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48487*s + 119*s**2 + 131*s**2 - 24239*s - 246*s**2 - 24248*s.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 391159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7035 (base 9) in base 3?\nAnswer: -21001012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-52)\/(-12) - (-2)\/(-6). Suppose -z - u*l = -45, 4*z - 74 = l + 55. What is the remainder when z is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 3 + -6 + 0 - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + sqrt(76)\/sqrt(4) + -2.\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c. Let h be k(4). Suppose -3*r = -14 + 5. Suppose -y + h = r*y. Calculate the smallest common multiple of y and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -259*j**2 - 12*j - 4. Let k(d) = -86*d**2 - 4*d - 1. Let h(m) = -7*k(m) + 2*v(m). Is h(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.335078 to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*p**2 + 10*p**2 + 50*p**2 + 31*p**2 + 97*p**2 - 2*p**3 in the form t*p**3 + b*p + v + j*p**2 and give j.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1*l*l**(2\/5))\/(l*l*l*l\/(l\/l**(2\/5)))**(-4\/5) assuming l is positive.\nAnswer: l**(128\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110311210 - 2?\nAnswer: -110311212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 8*o**2 + 178*o + 848. What is k(-6)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4636155 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -218465, -444279, -670093?\nAnswer: -895907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14\/5 + 43\/10. Let f = 10 - 5. Suppose f*t - 8 - 7 = 0. Put -1\/2, t, d in descending order.\nAnswer: t, d, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -3\/10*c**5 + 0 - 1\/6*c**4 + 2*c + 0*c**2 - 1\/6*c**3. Suppose 0 = -3*l + 3*t - 0*t - 9, t + 1 = -3*l. Determine u(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 93*10\/(-900) + ((-54)\/15)\/(-3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5435378.8 and -5.\nAnswer: 5435373.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (3 + -3)) + (18 - 14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128875 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 440*b**3 - 3*b**2 + 16*b - 27. What is the hundreds digit of l(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/2)\/(((-119)\/(-784))\/17). Calculate the greatest common factor of r and 7588.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (332 - 332 - 16*j)*(-j**2 - j**2 + j**2) + 2*j**3 + 4*j**3 - 4*j**3.\nAnswer: 18*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.02, 2\/67, 95?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**6\/24 - z**5\/4 + 10*z**3\/3 + 20*z**2. Determine d so that b(d) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 6)*(2*z - z - 2*z - 1 + (2*z - 2 + 2)*(3 - 2 + 0)).\nAnswer: -8*z + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 e when two letters picked without replacement from {m: 2, e: 1, k: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.414876l?\nAnswer: 2414.876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/19 (b) 87 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(125) - (sqrt(125) + 0)*2 - 2*(sqrt(125) + 0))*6 + -1)**2.\nAnswer: 180*sqrt(5) + 40497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwz. Give prob of sequence wz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3200) - 1*sqrt(3200))\/(-1*sqrt(90)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**5 + i**4 - 202*i**3 - 128*i**2 - 4*i wrt i.\nAnswer: 60*i**2 + 24*i - 1212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -0.023 (b) -3 (c) -71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -10. Suppose -1 = -a + 3, 4*k - t*a + 4 = 0. Calculate the remainder when 2 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -14 + 8 - 11 + 87*b + 37. Is c(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87148 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 7*c + 30 = -0*c, 3*a + 5*c = -17 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 3*l + 3*l + 2*l**2 + (0*l + 0*l - 2*l)*(2*l - l - 3*l).\nAnswer: 6*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -237582.\nAnswer: 4\/39597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 8475?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b - 54. Let a be c(-59). Solve -t + 4*k - 2*k = 3, -15 = a*t + k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47543421?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 + 2*b**2 + b**2 + (0 - 1 + 3)*(2*b**2 + 1 - 1) + 58*b**2 - 6*b + 139*b**2 + 8*b to the form u*b**2 + j*b + n and give u.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/45*6)\/(2\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9340, 9375, 9424, 9481, 9540?\nAnswer: 9595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112957.\nAnswer: 13, 8689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2230\/5 - (-2)\/(-1). Let w be l\/9 - (-2)\/(-6). Let v = 81 - w. What is the highest common divisor of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7357 + -5718?\nAnswer: -11a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -26 - 1 - (-481 - -459)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 - 42. Solve d*k - 9 - 1 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17647458629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/g**2*g**(1\/12))\/(g\/(g**(1\/2)*g))**42)**(-4))**(4\/3) assuming g is positive.\nAnswer: g**(-1012\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5*t + 20, -b + 4 = -4*t - t. Let u = b + -2. Does 20 divide -10*26*2\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a hour in seconds?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1109 - -1109.3. Let a = 1.01 - 8.71. Let f = -2.7 - a. Put y, f, 0, -3 in increasing order.\nAnswer: -3, 0, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -210.3692 to the nearest integer.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k**2 - 8*k**2 + 4*k**2 + (0 + 0 + k)*(0*k + 0*k + 2*k) - 4*k + k**2 + 4*k)*(-5*k + 3*k + k) to a*k**2 + j + n*k**3 + i*k and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + 6. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 e when four letters picked without replacement from {i: 4, j: 6, e: 2}?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2. Let t be o(-1). Let s be -3 - (t + (-116)\/16). Let u = 5 - s. Which is smaller: -1.4 or u?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 31*j - 3. Let h be z(2). Let v = h + 154. What is v rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1)**(-36)*h\/h**(-2\/13)*h\/h**0*(h*h\/h**1)\/h**(-3)*(h*h**(-1))\/h*h*h*h\/h**(-2\/27) assuming h is positive.\nAnswer: h**(-9748\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 665 is divided by 397.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 143 and 270633?\nAnswer: 3518229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184 and 28648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-127)\/1)\/(1\/2927). Let r = 244729 + k. Round r to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4063 divided by -215\nAnswer: -4063\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2734246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*x - 53460 = 1267*x for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 285 divided by 7?\nAnswer: 285\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4933499 or 4933506?\nAnswer: 4933499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -140, 0.1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b*b*b*b**(-4\/7)*b*b)\/b)\/(b*(((b*(b*b*b\/b**(-1\/4))\/b)\/b)\/b)\/b)*(b\/b**(-1\/3))**(-1\/13))**1 assuming b is positive.\nAnswer: b**(3359\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 6*b**2 - b + 5. Give f(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -59630 divided by -1?\nAnswer: 59630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 438*v - 1350. Is 12 a factor of f(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/4))**7\/(u\/(u**5\/u)*u**(-1\/3))*((u**2*u)**(-21))**41 assuming u is positive.\nAnswer: u**(-30935\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 221 - 135. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u - 2. Let z(p) be the third derivative of p**3\/6 + 4*p**2. Let i(y) = -g(y) - 5*z(y). List the prime factors of i(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f. Let y(x) = -x**2 - 323*x. Give t(y(u)).\nAnswer: 3*u**2 + 969*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -184857 - -130597. What is l rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 10) to base 2\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 p when two letters picked without replacement from ytp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134335808 to the nearest integer?\nAnswer: 11590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 495 - 161 - 167 - 167 + o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.348461 millilitres to litres.\nAnswer: 0.003348461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 8 = 2*q. Let r(z) = -2 - z**2 + 2 + q*z**2. Let v(l) = 2*l**2. Determine r(v(m)).\nAnswer: 12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -175 take away 1.1?\nAnswer: -176.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.59 + -0.59. What is the closest to 0 in t, -0.4, 8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w = -20*w + 6 + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 908 (b) 0 (c) 2\/5 (d) 3 (e) 7 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4540216 is divided by 761.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 569032, 1138136, 1707300, 2276524, 2845808, 3415152?\n\"Answer: 30*u**2 + 569014*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 10 + 4*j + 6*j + j**2 + 1. Let d(x) = 9*x. Let v be d(-1). Let g be o(v). Which is bigger: g or -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*o**4 - 3*o**3 - 914*o**2 + 1400475*o.\nAnswer: -84*o**2 - 18*o - 1828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 44 = -4*q - 33, -5*h - 65 = 5*q. Let c(s) be the third derivative of -s**4\/6 + 3*s**3\/2 - 206*s**2. What is the units digit of c(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327674.\nAnswer: 2, 19, 8623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 7 = -2*a, 98 = -a + 99 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*2*sqrt(42) - (sqrt(168) - (sqrt(168) - -1*sqrt(168) - sqrt(168))))\/(sqrt(384) - (sqrt(384)*1*5 - sqrt(384))).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8667 - -13770. Does 81 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6072*b - 6049*b - 1127 for b.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 2*s**2 - s + 7. Give r(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.723981ug in nanograms?\nAnswer: 6723.981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 63114869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*b + 0)*(-32*b + 9*b - 21*b)*(-2*b + 2*b + b).\nAnswer: -88*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*z**3 - 181488*z**2 - 2*z + 4655466.\nAnswer: 12*z**2 - 362976*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 430805, 861609, 1292411, 1723211, 2154009?\nAnswer: 2584805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvg when three letters picked without replacement from {w: 1, g: 2, l: 8, v: 2}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + o. Let b(g) = 3*g**5 + 2*g**2 + 11*g. Let n(h) = -b(h) - 2*d(h). Find the second derivative of n(y) wrt y.\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1\/15, -1, -4, 2\/97759 in decreasing order.\nAnswer: 1\/15, 2\/97759, -0.3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(325) + sqrt(325) + -2 + (-4*(sqrt(1573)*1 - sqrt(1573)) - sqrt(1573))**2.\nAnswer: 10*sqrt(13) + 1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -29*f + 3230. Let u(l) = 35*l. What is u(o(d))?\nAnswer: -1015*d + 113050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12006)\/(-5336)*(-32)\/(-666)?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17.6 + -15.09. Round h to 1 decimal place.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -115*y + 30. Is a(-6) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 2. Let m(w) = 1. Let z(q) = 2*m(q) - x(q). Let u(i) be the first derivative of 1 - 1\/2*i**2 + 0*i. What is z(u(h))?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (8 + -4) - 5) + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s. Let p(b) = -10*b. Let i be (2\/4)\/(3\/(-72)). Let d(v) = -v. Let w(x) = i*d(x) + p(x). What is r(w(u))?\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 11*f**3 - 1073*f**2 + 5*f + 5. Let a(r) = -5*r**3 + 535*r**2 - 2*r - 2. Determine -5*a(b) - 2*h(b).\nAnswer: 3*b**3 - 529*b**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 6657 + -6658. Let w = -5 + 9. Let z be ((-6)\/(-8))\/((-15)\/12). Which is the closest to p? (a) z (b) -4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-8) - (-102)\/8. Let g = 2175 + -2162. Is t bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, x: 9}. Give prob of sequence ll.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0433 - -270.9567. Let p = m + -270.9859. Let d = p - 0.014726. What is d rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -4*o**6\/15 - 62*o**5\/25 - 28*o**4\/5 + 32*o**3\/15 - 51. Factor d(f).\nAnswer: -2*f**2*(f + 4)**2*(4*f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/4 - 13989321*m\/4 + 13989323\/2.\nAnswer: -(m - 2)*(m + 13989323)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 1 - (-1190)\/599. Let h = 35421\/5990 + n. Calculate the common denominator of h and (-66)\/(-4) + 5\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llsl when four letters picked without replacement from ssssssssslsllsss?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w**3 + 1400*w**2 + 5*w**3 + 8*w**3 + 5*w**3 + 243*w**2.\nAnswer: 2*w**3 + 1643*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 3:00 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.161 in -2\/5, -2\/17, 5\/19?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 251775 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.5 - 7.5. Let j = -1.5 - z. Let n(o) = o**3 + o**2 - o. Let l be n(1). Put j, 4, l in ascending order.\nAnswer: j, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/37 - 64\/185. What is the second biggest value in -0.1, 1, w, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -107?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**5 + 4*m**4 - 38*m**3 + 56*m**2 - 24*m.\nAnswer: 2*m*(m - 2)*(m - 1)**2*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*l + 3*t, l - t - 1 = -0. Suppose l = m - 1. Suppose 3*c = -m*v + 12, 0 = 5*v - 0*v - 5. Solve -4*x + 3*g - 22 = 4*g, -x - c = -g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3829 and (13\/78)\/(19\/798).\nAnswer: 3829","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 9:21 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1758\/1583 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a + 36 = -12*a. What is the third derivative of 0 - 1 + 0 + 132*u**2 + 1 - 4*u**6 - 30*u**a wrt u?\nAnswer: -480*u**3 - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12611219857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -40 + 30 + 17 - d. Calculate j(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfripwg. Give prob of picking 1 i and 1 g.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l + 64. Calculate b(22).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**2 - 295*r + 2. Let x(w) be the first derivative of -w**2\/2 + 3*w + 2. Determine -6*q(u) - 4*x(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h**13*h)\/h*h*h)\/((h*h**9)\/h))\/((h*h**(-7\/5))\/(h*h\/(h\/(h\/(h\/(h*(h\/h**(1\/15))\/h*h*h*h))))*h)) assuming h is positive.\nAnswer: h**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/33 + -46\/33. Let p = 0.2 - -1.8. Let h = p + -1. Which is the nearest to -1? (a) s (b) -0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40053 = v - 2*v. Let j = 1642257\/41 - v. Let w = j - 1170\/451. Which is the nearest to 2? (a) w (b) -0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 0*d**3 + 1\/195*d**6 + 0*d**2 + 1\/130*d**5 + 6*d + 0*d**4 + 0. Find k such that n(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2648654 = 2648653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/5335 and -1\/593890.\nAnswer: 57607330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 divided by 41?\nAnswer: -35\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o**4 + 4*o**2 - 6. Let n(f) = -f**2 + f + 1. Let m be n(2). Let i(s) = -s**4 - s**3 - 1. Let q(u) = m*r(u) + 6*i(u). Solve q(l) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3. Let v(j) = j**3 + j**2 - j + 11. Let l be v(g). What is the units digit of (3\/(-3))\/((-1)\/l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -2363 + 149. Suppose b - 41 - r = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) -3\/2 (c) 3 (d) 622.8179 (e) -0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -7\/2514261?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-80)\/(-2))\/(2\/(-8)). Let g = 10 - d. Does 21 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -404 (base 7) in base 5?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -28 (c) 2\/9 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5382245 is divided by 71?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33578457 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24933407?\nAnswer: 17, 223, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 115267.9 milliseconds?\nAnswer: 115267900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -7*s - 2. Let n be -1*(-4 - -1) + s. Solve -4*c + n = -2*j - 11, 4*j + 5*c - 28 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(6*-1))\/((-3)\/6)*9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d. Let o(a) = -12*a. Let y(z) = -o(z) - 5*w(z). Let s(f) = 2*f. Let r(n) = -64*n. Let p(v) = 2*r(v) + 6*s(v). Calculate p(y(b)).\nAnswer: -232*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/2)\/t**(2\/7))**(2\/5))**(6\/31) assuming t is positive.\nAnswer: t**(-66\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1844?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**4\/90 + 11*q**3\/45 - 34*q. Suppose r(l) = 0. Calculate l.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, p: 1, k: 7, f: 3, d: 2, x: 1}. Give prob of picking 1 o, 1 p, and 1 x.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -273 < 81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -144149 less than 0.49?\nAnswer: 144149.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 40*g - 31 + 22 - 27. Let q(b) = b - 1. Let a(c) = 5*q(c) - y(c). Differentiate a(z) wrt z.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 2 - 46. What is the remainder when (66\/n)\/((-2)\/16) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -2*d**5\/35 + 6*d**4\/7 - 256*d**2\/7 + 1810. Factor o(a).\nAnswer: -2*a*(a - 8)**2*(a + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/64 and (-5)\/10*8 - (-2107)\/560.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*h**4\/5 + 7*h**3 + 6*h**2\/5.\nAnswer: h**2*(h + 2)*(16*h + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v - 1. Let s(x) = 5*x + 1. Suppose -3*i - 18 = 4*b, i = -0*b + 3*b - 6. Let g(m) = i*s(m) - 13*q(m). Find the first derivative of g(t) wrt t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 1. Let y(p) = 6*p + 3. Suppose 46 - 2 = -11*u. Let s(f) = -f + 3. Let m be s(4). Give m*y(l) + u*g(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-2 - (-35)\/28). Suppose -388 = -3*w - w - f*y, 2*w - 5*y = 159. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8209102998?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 11:43 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 12:53 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6597*o + 12157 + 34022 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 - 2\/3*h - 1\/6*h**2.\nAnswer: -(h - 2)*(h + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10857294 to the nearest integer?\nAnswer: 3295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-76.302\nAnswer: -38.151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**5 - 144*l**4 - 7432*l**3 - 7136*l**2 + 7428*l + 7280 = 0.\nAnswer: -28, -1, 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1688516630?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 7*v - 16. Let p be w(5). Let i = 31 - p. Let l = -253 + 385. What is the highest common factor of i and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -6*(2 + sqrt(44) + -3 + (-4 + sqrt(6336))**2 + sqrt(6336)))*-5*3.\nAnswer: -14940*sqrt(11) + 571620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-289*v**3 + 139*v**3 + 148*v**3 + 144*v)*(-3*v**2 - v**2 + 2*v**2).\nAnswer: 4*v**5 - 288*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 18 = -o. Let n be 2\/(-9) + 50\/o. Let l(k) = -k + 10. Let u be l(7). Put n, u, -1 in ascending order.\nAnswer: n, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3145537?\nAnswer: 349, 9013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 31 - 3. Let g = 8 - 6. Suppose -d*p = -g*p. Which is smaller: 9 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - d + 9. Let i be 0\/(-4) - (-3 + -6). Suppose 5*j - 4*l = -i*l - 20, 3*l = 4*j - 12. List the prime factors of c(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -9*k**3 - 17*k**2 - 3*k - 3. Determine j(-3).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -669, -668, -667, -666, -665, -664?\n\"Answer: z - 670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (18\/48)\/((616\/(-64))\/(-11))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77898183 is divided by 37.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a42 + 19?\nAnswer: -1a25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 16*m + 1. Let s be q(4). Let r = s + -62. Solve -2*c = -3*y - 0 + 23, -3*c + r = 3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-924)\/(-108) - 198\/22?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343 = 100*b - 57. Let z(k) = -16*k + 3. Let l(p) = 15*p - 3. Calculate b*z(v) + 5*l(v).\nAnswer: 11*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (1 + -5 - (-126 + 104)) - (-10 - 1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((4 - -4) + 1 + 0)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/13 + 1728068*a**2\/13 - 373349944850*a\/13 + 31349203305000\/13.\nAnswer: -2*(a - 431975)**2*(a - 84)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*h**2*j*x + 3*h**2*x - 5*h**2 + 2*h*j - 22*h - 136*j*x - 85*j - 8*x + 4 wrt x.\nAnswer: 3*h**2*j + 3*h**2 - 136*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-8385)\/172 - -54)*(3 - -1)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1242326705 to the nearest integer?\nAnswer: 35247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10535 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times 3.671?\nAnswer: 2.2026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13987421, 13987420, 13987419, 13987418?\nAnswer: 13987417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (a**4 + 0*a**4 + 0*a**4)*(1 + 1 - 1) - 132586*a**2 + 132586*a**2 - a - 4633*a**4 - 1537*a**4 as g*a + r*a**4 + b + p*a**3 + f*a**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*b - 3*b + 4*b)*(-1 - 4 + 3)*(-1 + 2 + 1).\nAnswer: -32*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 7014 = 42*y. Let z = 53 + y. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -5. Let p be (0 - -2)\/(-2) - -2. Let y = p + 1. Solve y = 2*g - c for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 4. Let o(v) = 7*v**2 - 3*v - 4. Let z(q) = 2*q**2 + q + 1. Let g(s) = o(s) + 4*z(s). What is g(l)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 2*d = 2*o - 6, 20 = 4*d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 38618*u**2\/11 + 3745838*u\/11 - 10476\/11 = 0.\nAnswer: -97, 54\/19309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153663 and 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111645 is divided by 2326.\nAnswer: 2323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -18. Suppose 0 = q*i + i. Solve i*o = -3*o - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6820322034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m - 18 - 22 + 38.\nAnswer: -14*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -53056, -5\/6, -4?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 l when two letters picked without replacement from xxlkf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43798673?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzkzkfxqf. What is prob of sequence ff?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.04, 0.9, -1\/7, -1\/9, -0.5?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwnnwwwwnwwwwnnwww. Give prob of picking 2 w.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d - 40. Let h be m(-13). Let t(g) = g**3 - g**2 - 4. Let j(n) = n - 7. Let r be j(7). Let y be t(r). Put h, 22, y in descending order.\nAnswer: 22, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (270\/40 - 7)*-20. Which is the nearest to -6? (a) v (b) -1\/3 (c) -3\/4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r + 3. Let y(a) = -5*a + 2. Calculate -6*f(j) + 5*y(j).\nAnswer: -j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/((g\/(g**0*g*g))\/g))\/g)**23\/(g\/(g*g**(2\/7)))**(-1\/6))\/((g\/(g*g**(-1)))**(1\/63))**(-10\/9) assuming g is positive.\nAnswer: g**(26065\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**4 - 1920*t**3 - 300600*t**2 - 16848000*t - 308002500.\nAnswer: -4*(t + 45)**2*(t + 195)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -1179?\nAnswer: -2\/1179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60453045*j**3 - 5270*j**2 - 233*j - 5.\nAnswer: 362718270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16876575, 16876584, 16876597, 16876614, 16876635?\n\"Answer: 2*l**2 + 3*l + 16876570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7*u**2 - 12*u + 3. Let b(k) = 4*k**2 - 7*k + 2. Let n(x) = 5*b(x) - 3*m(x). Calculate n(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wtawtbttblaattw. Give prob of sequence abtt.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 3*q + 10 = 0, -3*j - 1591*q + 16 = -1586*q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**6\/360 + w**5\/30 - w**4\/12 + w**3\/2 + 2*w**2. Let k(h) be the first derivative of x(h). Give k(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a + 3 - 1 - 2*a + a**2. List the prime factors of q(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -13*j**3 - 58*j**2 + 2*j - 6. Let d(v) = 4*v**3 + 2. Give -3*d(r) - l(r).\nAnswer: r**3 + 58*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1113 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -874*c + 85*c + 277*c - 1008*c - 1416 + 44*c wrt c?\nAnswer: -1476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-328)\/(-10))\/((-3)\/(-15)) is divided by 71?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -28.24. Let o = i + 0.224. What is o rounded to three decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 536387*q**2 + 5 - 3*q**3 + 1 + 536387*q**2.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1212 + 12000?\nAnswer: 10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400417430?\nAnswer: 2, 5, 7, 5720249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -390 and -78.\nAnswer: 30420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of h**5\/120 - h**4\/8 + 22*h**3\/3 + 15. Let d(q) be the third derivative of w(q). What is d(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*s**6 - 179*s**4 - 127*s**3 + 1167129*s**2 wrt s?\nAnswer: -1200*s**3 - 4296*s - 762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 - 59. Let b be 3 - ((-2802)\/(-1022) - z\/(-21)). Let x = 2 + -1. Which is bigger: x or b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 32938, 34358, 35778, 37198?\n\"Answer: 1420*r + 31518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.08*-38.2\nAnswer: 3.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4657*s**2 - 94*s**3 - 4666*s**2 - 11*s + 9334*s**2 - 8. Let u(w) = 31*w**3 - 4*w**2 + 4*w + 3. Give 4*t(r) + 11*u(r).\nAnswer: -35*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 g, and 1 x when four letters picked without replacement from nxnxxngxxxxnngnxx.\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + 30. Let i = -35 + a. Suppose 7*x = 3*x + i. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34935b0 (base 12) to base 3\nAnswer: 201002110121120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-4\/9)*c*(c**(-2\/15)*c)\/c)\/((c\/c**6)\/(c**(-2\/21)\/c)))**4 assuming c is positive.\nAnswer: c**(5452\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*a - 98554 = -98610 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 77, 4, -2, 0.4, 8 in decreasing order.\nAnswer: 77, 8, 4, 0.4, 1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1523 rounded to 2 decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 192358995 rounded to the nearest 1000000?\nAnswer: 192000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3*((1*sqrt(525) - sqrt(525)) + sqrt(525)) - sqrt(525)*-1*-1)\/(-5*-2*sqrt(84)\/(sqrt(12) - -2*sqrt(12))).\nAnswer: -3 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 7656 = -4*r, -9*a + 20427 + 48443 = -2*r. Does 291 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56389090 rounded to the nearest ten thousand?\nAnswer: -56390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -10, 5 in decreasing order.\nAnswer: 5, 4, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 31*z = 32*z + 1 + 11, -z = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 18 = 4*b, b + 2*b = 3*t - 9. Which is greater: -3 or b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 952 and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4762\/9 + -529. Let h = -1.27 + -0.03. Let y = 5.3 + h. Which is the third biggest value? (a) y (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.8437 in 0.4, -3\/2, 4\/1037?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + o**2 + o - 62. Give y(0).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 0*a - 2*a - a - 2 + 4*a. Let k be d(7). What is the second derivative of t - 3*t + 0*t**k - t**5 wrt t?\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 829 = -u, -5*p = 8*u - 9*u + 799. Let r = -518 + u. Is 37 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1148 and 12?\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -51, 0.3, -3, -43671 in decreasing order.\nAnswer: 2, 0.3, -3, -51, -43671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1196202*b**3*n**2 - 7987794*b*n**2 wrt b.\nAnswer: -7177212*b*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 6*m - 3*m + m + 4 - 4 - 4*m + 3*m + 3*m + (0 - 2*m + 0)*(1 - 2 - 1))*(44 - 44 + 37*m) + 2*m**2 - 2*m**2 + m**2.\nAnswer: 334*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 3\/56, 0.5, -9?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r + 1. Let j be i(4). Suppose -4*q = 16 - 76. Let w = j - q. What is the greatest common divisor of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**7\/126 - p**6\/18 + p**5\/30 + 5*p**4\/9 - 4*p**3\/3 + 4*p. Determine v, given that y(v) = 0.\nAnswer: -2, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*j - 11*j + j)*(-36*j - 11*j - 11*j)*(4*j**2 + 5*j**2 - 2*j**2) in the form o*j**3 + n + p*j**4 + z*j**2 + t*j and give p.\nAnswer: 9744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 39.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - -5. Is (-48)\/v*20\/(-6) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*i + i - 4, 17 = i - 5*g. Let r be i\/(-8) + (-52)\/(-16). Suppose 0 = r*d - 136 - 38. Calculate the remainder when d is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.3 - 1.7. Sort b, 2\/5, 1 in decreasing order.\nAnswer: 1, 2\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 - 88 + 43)*(-6*n**2 - n**4 + 274 + n**3 - 274).\nAnswer: 88*n**4 - 88*n**3 + 528*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 466431399 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.2 (b) 13\/6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x + 17. Let r be k(4). Suppose 22*w - r*w = 30. Is 4971\/2*(-5)\/75*w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1364 - 2?\nAnswer: -1366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -35453 - 3?\nAnswer: -35456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*j**2 + j + 31*j**2 - 2*j.\nAnswer: 156*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000010100101111000100 - 11?\nAnswer: -10000010100101111000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/((g**2*g)\/g))**(-20))**(-24))**10 assuming g is positive.\nAnswer: g**(-4800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 572*j - 563*j - 324 = 0. Solve -9 - j = -9*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3744 by -312.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 65 + 717*l + 61 to the form j + d*l and give d.\nAnswer: 717","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2193429 or -2193430?\nAnswer: -2193429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42613 a multiple of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14477 - 14400 = 11*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62 - -101) + -21 + -2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 383442452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -574*u**2. Let i(p) = -102*p**2. What is g(i(x))?\nAnswer: -5971896*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 50*y + 28. Let s be k(6). Let w = 430 - s. What is the remainder when w is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*p + 11 = 0, p = 39 - 41. Solve u - 7 = 5*n - m, 0 = 4*n - 5*u + 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11393 + 11386 + w**4 - 16*w**2 - 3*w**4 as v + l*w**2 + t*w**4 + y*w + f*w**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 - -32 - -23 - (-5 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -31. Let b(o) = -9*o - 9. Let g(x) = 4*x + 4. Calculate h*g(s) - 2*b(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -279*k**3 - 205 wrt k?\nAnswer: -837*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1)\/g)**(35\/4)\/(g**(-2\/7))**(12\/7)*(g*g**(1\/3))\/g*g\/g**(2\/13)*((g*g**(1\/4))\/g*g*g)**(-10\/19) assuming g is positive.\nAnswer: g**(-617795\/36309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) -4 (c) 0.1 (d) -10 (e) 8\/137 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 232 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 8:00 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87*f**3 - f**2*z + 42*f**2 - 3*f*z - f + 255*z - 19 wrt f?\nAnswer: 522*f - 2*z + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 5 + -3 + 28 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -45\/7 (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.24 (b) -0.2 (c) 11 (d) 2\/299 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 201 and 70052721?\nAnswer: 70052721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 6*r**2 - 428*r + 7443. Let a be n(30). Let t be 0 - (-1 - (-1)\/(-1)). Factor 3\/4 - 1\/4*z**a - 3\/4*z**t + 1\/4*z.\nAnswer: -(z - 1)*(z + 1)*(z + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*v - 0*v + 5*m, 10 = 5*v + 5*m. What is the second derivative of 0*y - v*y + y**2 - 2*y**2 wrt y?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-378)\/10)\/(-21))\/((-8)\/10).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -37841 (base 14) to base 15\nAnswer: -2a4c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1165 = 3*o, -3*u + 256 = -5*o - 625. List the prime factors of u.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75610.06 less than 640.9?\nAnswer: 76250.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 168406 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 1\/180*h**5 - h**2 + 2\/9*h**3 + 0 - 1\/18*h**4 + 0*h. Factor f(d).\nAnswer: (d - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114535693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -969 - -987. What is the remainder when 172 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11454607 to the power of 1\/2, to the nearest integer?\nAnswer: 3384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b + 14*b = -4. Suppose -444 - 554 = -b*r - 3*t, 3*r - 5*t = 1497. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15874, -31879, -47964, -64159, -80494, -96999?\nAnswer: -113704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 1961*a + 156868. What is d(-77)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**2. Let m(c) = -40*c + 1. Give m(z(u)).\nAnswer: 120*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-112)\/(-14))\/1*-116*12\/96?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111111211000211 (base 3) to base 11.\nAnswer: -4064a44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -651*q**3 - 681*q**2 + 14. Let t(h) = 3256*h**3 + 3406*h**2 - 77. Let f(z) = -2*t(z) - 11*w(z). Find the third derivative of f(j) wrt j.\nAnswer: 3894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 15*r - 12*r = -12, -2*u + 5*r = -13 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6654 - -32939. Is l a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28 + 105095?\nAnswer: 10506c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 85901156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 456 - -375. Suppose -m = -3*i + 3*f, 0*f = 3*i - f - 837. List the prime factors of i.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -369*f + 1122*f - 379*f - 376*f - 5*f**2.\nAnswer: -5*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -6*q**2 - 14*q - 33. Let b be w(-15). Let l be (-1)\/(-5) + b\/15 + 3. Let n = l - -78. Solve n*u - 25 = -2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -433 (base 5) to base 9\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 0*s - 4. Let a(j) = -6*j**2 - 2*j + 2*j**s + 3*j. Calculate a(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.26 * 13014.\nAnswer: -3383.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*r - 259 - 77 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 468543.1 nanograms in milligrams?\nAnswer: 0.4685431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.1469627g?\nAnswer: 146.9627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {x: 8, e: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**10*p*p)**(15\/2))**(-32\/7))**(1\/21))**(-11\/3) assuming p is positive.\nAnswer: p**(11440\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7981843?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 53, 58?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 16*p - 49. Calculate the remainder when 613 is divided by o(-20).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 4*d - 1. Let q be r(8). Let l = q - -49. Is 15 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -7. Suppose -r*g = -g - 3. Suppose k + v - 6 = -0*v, -g*v = 5*k - 24. Is k smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -29. Suppose 0*k = k - 2*o - 49, -2*o + 86 = 2*k. Let b = k + 8. Calculate the remainder when b is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 207\/2 + -102. Sort -19, s, 1, 0 in descending order.\nAnswer: s, 1, 0, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*c**2 - 119*c**2 + 45*c**2 + 24*c**2.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 378 = 2*d, 5*x + 3 = 8. What are the prime factors of d?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14709 (base 12) to base 5.\nAnswer: 1404130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/3670800 and -17\/658350?\nAnswer: 121136400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 4*d + 4. Let v be u(-6). Let n = v - -11. Let a = -9 + 4. Sort n, a, 2 in ascending order.\nAnswer: a, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 2*z + 5, 3*u + 0*u = -5*z - 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - sqrt(170)*3)*1)\/(3*sqrt(250)).\nAnswer: -2*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-195)\/24)*8\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136864 = -910*p - 312*p for p.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 3*g**2 + 2*g**2)*(g - 3*g + 11*g) - g + 2*g + g**3 + g**3.\nAnswer: 29*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand u - 4*u - 2*u + (-2*u + 5*u - 6*u)*(-3 + 2 + 3) - 2362 + 86*u + 2362.\nAnswer: 75*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 11:45 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((((j*j\/j**(-9)*j)\/j)\/j)\/j)*(j\/(j\/(j**(-1\/7)\/j)*j))\/j*j*j)\/((j**(-3\/5)\/j)\/j**4) assuming j is positive.\nAnswer: j**(-124\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3226*d + 5. Let x(l) = 74*l. Determine x(h(p)).\nAnswer: -238724*p + 370","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 11*d - 1. Let t be h(12). Let p = t - 10. Which is smaller: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2691 plus -65.1?\nAnswer: -2756.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 1) + 3 + -2 + -3. What is the second derivative of -2*x + 4*x**3 + 12*x**3 + 15*x + j*x wrt x?\nAnswer: 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 1. Let v be n(1). Let y be v - (-4 + -5 + -1). Solve -s = -y + 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = 2*b - 32. Suppose 4*w + v = -3*v + 32, -5*w + v = -10. Let p = 5 - w. Put b, -3, p in decreasing order.\nAnswer: b, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 1487154.\nAnswer: 20820156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 73.0343 minutes?\nAnswer: 4382.058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*w + 30, -10*d = -7*d + 3*w - 9. Determine b so that 2\/5*b**d + 2\/5*b**3 - 4\/5*b**4 + 0*b + 0 + 0*b**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/(l**5\/l*l))*l\/l**(15\/4)*l)\/(l**(1\/3))**(-11\/3) assuming l is positive.\nAnswer: l**(125\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/3 - 7\/(-7). Let r be (s\/(-9))\/(50\/(-2)). Let g = 89\/225 - r. Which is the biggest value? (a) 5 (b) 0 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 6*r**2 - 6*r - 4. Let p be b(-5). Let j be (0 - p) + (-7)\/(-9). Let n = -0.04 + 2.04. Are n and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -365 (base 8) to base 11\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b + 89 = -39, -1239*r + 11 = -2480*r + 1236*r - b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 5*p**2 + 10*p + 12. Suppose -4*v + 8*v = 4*a - 40, -2*v = 3*a. Calculate x(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*q + 1811 = 211 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -12*y**2 - y - 8. Give h(-3).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3799072987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -414660 - -414656.25211. Let v = 3.75 + c. What is v rounded to 4 decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*1\/(14\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75307742?\nAnswer: 2, 31, 1214641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*o = 207*o + 5*x - 1 - 115, 0 = 3*x - 12 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/((8 + -9)\/(1557\/(-173))).\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 4 + 3)*(-2 - 3 + 1)*(-1 - 6 + 5)*(-1 + 3*s - 4*s + 3*s).\nAnswer: -96*s + 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 4\/7, -3, 0.04, 1\/6 in descending order.\nAnswer: 13, 4\/7, 1\/6, 0.04, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 21*z - 36 - 114 - 19*z + 44*z + 23*z. Let j(i) = 2*i + 1. Let y(p) = -5*j(p) - w(p). Find the first derivative of y(a) wrt a.\nAnswer: -79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8\/107 - -337\/214. Let b = 196 + -195.5. What is the second smallest value in h, b, -1\/22, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (43 + 148 + 129)*(-m + 11 - 10 + 4*m**2 + 8*m**2) as a*m**2 + p + v*m and give p.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, n: 4, k: 1, w: 2, y: 3}. Give prob of picking 1 b and 1 w.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**4\/6 + 5*w**3\/6 + w**2 + 10*w. Suppose k = -2*h + 9, -14*k + h = -19*k - 9. Determine d(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 171142565 and 645821.\nAnswer: 171142565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20215.5 (b) -1\/5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59\/2 - -191\/4. Find the common denominator of -83\/2 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -81*s**2*z + s**2 + 10*s*z + 230*z + 7 wrt s?\nAnswer: -162*s*z + 2*s + 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24\/(-21))\/(-4) + 1128\/168. Solve -5 = -2*j - k for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.08 - -0.0799784. What is b rounded to six dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/9)\/((16\/(-56))\/((-45)\/(-70))).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*k + 82*k = -3080. What is the remainder when 216 is divided by k?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**5\/12 - 2*t**3\/3 + 41*t**2 - 1. Give g(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19031 (base 10) to base 6\nAnswer: -224035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1833\/5 - -365. Let a = q - -13\/10. Do a and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a4 + -9?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d - 1. Suppose 15 + 1 = -j + 3*b, 26 = -j + 5*b. Let i(x) = -7*x - 5. Let v(f) = j*i(f) + 5*l(f). Let p(g) = 6*g. What is v(p(q))?\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 13. Let h(b) = 0 + 7 - r - 1 + b. Let g be h(-4). Is -2 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 9:56 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78.93 + -79. Let p = -0.09 - -0.05. Let w = n - p. Round w to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -0.1, 3755, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.002 + -24.002. Let h = 25.44 + o. Round h to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 3*k - 2. Determine y(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.6 (b) -2\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3) + (26 - 7 - 7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 22 = -i, 0 = -u + 2*i - 11. Let b(q) = -q**3 + 5*q**2 + 2*q + 14. Let p be b(6). Is u >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3835 in -5\/21, 0.12, -2\/5?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -194*a. Let p(o) = -6*o + 8. Let b(d) = 444*d - 576. Let i(u) = -b(u) - 72*p(u). Give s(i(h)).\nAnswer: 2328*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 111111001001010101 (base 2) in base 7?\nAnswer: 2125032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27324 or 0.041?\nAnswer: 27324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 13*u**2. Let y(o) = 2*o**2 - o - 1. Let i(p) = -20*p**2 + 11*p + 11. Let l(c) = 2*i(c) + 22*y(c). Determine l(j(r)).\nAnswer: 676*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12342 - 12101?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27769, 340, 0.2 in descending order.\nAnswer: 340, 0.2, -27769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/35 and ((-4)\/(-6))\/(8\/254*5).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - 5*o = 5*v, 5*v + 5*o = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 1:11 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.78412kg in tonnes?\nAnswer: 0.03178412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/523 + 39223\/1046. Calculate the common denominator of n and -59\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 1:14 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 95240 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-22))**(-50)*(h**(8\/5)\/h*h)\/h**(-18) assuming h is positive.\nAnswer: h**(5348\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15631367?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 75801337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 18*a**2 + 52*a + 129. What is the lowest common multiple of 33 and b(-21)?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 2 + 9\/3. Let k be 3 - (g\/1 + -81996). Suppose 3*c + 4*d - 246006 = d, 0 = -c + 2*d + k. Round c to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -190? (a) 71\/4 (b) 1 (c) -3\/5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 24*t**2 - 98*t - 63. What is x(-19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 59 (base 11) to base 3\nAnswer: 2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 0)*(-73*h**2 + 145*h**2 - 209*h**4 - 72*h**2) as l*h**2 + f*h**4 + g*h + p + a*h**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 501820 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*n**2 - 14*n - 13*n - 71*n**2 to p + u*n + w*n**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 1:32 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -3\/8 (c) 4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7701, -7304, -6907, -6510, -6113, -5716?\n\"Answer: 397*p - 8098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**5)**35\/(v*v**(-17)*v*v\/v**(-4)))**(-9\/11) assuming v is positive.\nAnswer: v**(-1665\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1145 + -1144.8. Suppose -9*c + 5 = -4*c. What is the closest to -1 in c, y, 1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -10 + 0 + 9. Let u(g) = -4 + 0 + 3 + g**2. What is -f(m) - u(m)?\nAnswer: -m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2132060 equal to -2132091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 763084789.\nAnswer: 227, 3361607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3103043 - 30?\nAnswer: -3103123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 2 + 0 - (-12 - -37 - 45)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-234)\/(-1053) + (-61)\/(-9) + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/20 + (88\/10)\/(-2). Let k(u) = 6*u**3 + 9*u**2 + 7*u - 5. Let w(h) = -7*h**3 - 10*h**2 - 8*h + 6. Let x(f) = r*w(f) - 6*k(f). Give x(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6060 = -3*a, -o + 0*o + 3*a = -2000. Suppose 5*h - 5*l = o, -4*l = -h - l + 403. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 305 - 300. Let o(m) be the second derivative of 0 + 1\/96*m**4 - 1\/160*m**5 + 1\/24*m**3 + 0*m**2 + d*m. Factor o(p).\nAnswer: -p*(p - 2)*(p + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16896 and 825.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2. Let g(y) = 60356 - 30180 - 30176 + 1248*y. Determine g(n(w)).\nAnswer: -1248*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -7, -2, -4\/353, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/10 - (-4)\/(-10). Solve -t + 2 - 7 = w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*a**3 - 4*a**5 + 22*a**2 + 10*a**5 - 7*a**5 wrt a.\nAnswer: -60*a**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39336*d*v**3 + 25*d + 12610585*v**3 wrt d.\nAnswer: -39336*v**3 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**3 + 188*y**2 + 62*y + 43. What is z(63)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15197793 is divided by 2997.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -141*x**6 + 128813*x**5 + x**3 - 50*x**2 + 131434*x.\nAnswer: -16920*x**3 + 7728780*x**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 22540*n + 16464735.\nAnswer: 5*(n - 3591)*(n - 917)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpf when three letters picked without replacement from {f: 1, g: 1, p: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006214267 to 5 decimal places.\nAnswer: 0.00621","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 187\/15 + -64\/5. What is the common denominator of r and 71\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/(-21))\/(2\/(-42)). Let c(o) = 16*o**2 - 5*o**2 - l*o**2. Let j(a) = -2*a**2. Let q(w) = -w**2 + 6. Let g be q(0). Give g*c(h) + 11*j(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f**2 + 2 + 50*f**2 - 53.\nAnswer: 37*f**2 - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 405851 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62000974?\nAnswer: 2, 7, 37, 17099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v - 6. Let r be h(-6). Let g be (-1624)\/21 + (-4)\/r. Let b = 187 + g. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sevenths of a week in minutes?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + 49. Suppose 3*i - 27 = 21. What is the greatest common factor of i and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 31?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/((sqrt(36) - sqrt(4)) + sqrt(4)) + -3 + -1.\nAnswer: -4 + sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/8 (b) 0.3 (c) 7\/5 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5098 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5. Let m(w) = w + 10. Let k(i) = -3*m(i) + 5*v(i). Calculate k(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a microgram in nanograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 72408.\nAnswer: 72408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 544 + -358. Solve -4*r - s + 198 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 3601?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -t**4\/4 + 2*t**3 + 2*t + 5. Let x be a(6). Factor 15*h + 4*h**3 - 12*h**2 + 5 + x*h**3 - 3*h**3 - 11.\nAnswer: 3*(h - 2)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 11) to base 6\nAnswer: -355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + 13. Let h be ((-171)\/(-84) + (-2)\/7)*1038\/(-2422). What is the fourth biggest value in u, 4, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**5 + 436*i**4 + 972*i**3 - 741300*i + 3 wrt i?\nAnswer: 20*i**3 + 5232*i**2 + 5832*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1)*(0*v - 3*v + 5*v)*(56*v + 5*v + 5*v)*(0*v + v + v).\nAnswer: 792*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 4:42 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 708 is divided by 79.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101001 (base 2) to base 8.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/((-5)\/(-15)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25561 and 1825.\nAnswer: 46648825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*t = -2260 + 1932. Let p(c) = 2*c**3 + c**2 - 3. Let g(s) = -s**2 + s + 1. Determine t*g(f) - 2*p(f).\nAnswer: -4*f**3 - 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5140\/7 + -731. Find the common denominator of 285\/54 - 1\/2 and v.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, d: 1, z: 1, r: 1}. Give prob of picking 2 o, 1 d, and 1 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35 plus -6005.7?\nAnswer: -6006.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 34 = -3*h, -3*h + 38 = 4*y - 0*y. Suppose 54 = m + 5*w, 0 = 3*m - 2*w - 0*w - 77. Calculate the remainder when m is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 0 - 3 + (0 + 0 + 4)*(-5 - 3 + 0))*(x**2 - x + x) in the form w*x**2 + z + l*x and give w.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = p + 15. Let v = p + 10. Suppose 16 = 2*g + 2*g, v*g = -3*h + 158. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-408)\/1088)\/((-3)\/(-16)). What is the nearest to -2110 in z, 3, 0.2, -1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p - 1. Let o = 23 - 14. Let m = -11 + o. Let z(d) = d. Let a(n) = 17*n + 5. Let i(b) = -a(b) + 4*z(b). Give m*i(j) + 9*h(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-18)\/42)\/(3\/2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/4 - 306221481*v\/2 - 31257198475277787\/4.\nAnswer: -3*(v + 102073827)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6*a + 65 = 0. What is the greatest common factor of a and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1444271 is divided by 141.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 9, w: 11}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 6*r - 5. Let n be h(4). Suppose 0 = -4*d - d - v + 337499999, -202499997 = -3*d - n*v. Round d to the nearest 1000000.\nAnswer: 68000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 87 (b) -0.25 (c) -5 (d) 2 (e) -3.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.344 - 0.056. Which is the nearest to 2? (a) 4 (b) f (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17444 and 5696.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19406 - -80053. Is l a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 3*l + 170 = 0. Suppose -5*b - 115 = -5*m, -3*m - b + l = -56. What is the remainder when 190 is divided by m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.71 times 0.2\nAnswer: 0.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -479*s**3 + 103 + 482*s**3 - 30 to c*s + n*s**2 + g + q*s**3 and give g.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 1:56 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 9 = 3*w. Let i(v) = 2*v**2 - 3*v. Let o be i(2). Suppose o*n - 18 = 2. Calculate the remainder when n is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23749467 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 - 24*d - 72.\nAnswer: -2*(d + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 + -17.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 247 and 268394.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 758?\nAnswer: 3\/758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (-3 + 1 - (1 + -108)).\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -174, -737, -1720, -3153, -5066, -7489, -10452?\n\"Answer: -5*x**3 - 180*x**2 + 12*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3 - 0. Solve -y*c - c = 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d*d\/d**(-5\/7))\/d)*d**(-7))**(-5) assuming d is positive.\nAnswer: d**(270\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 8 = k, -4*k + 3*j = k + 14. Let z(w) = -w**3 + w**2 + 12*w. Let s be z(4). Is s at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**2 - 3*f**2 + 0*f**2 + f + 2*f**2 - f + (f + 2 - 2)*(-4*f + 5*f + f) + 2*f**2 - 7*f**2 - 12*f + 4*f**2.\nAnswer: 4*f**2 - 12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 10:18 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -20523569 to the nearest 10000.\nAnswer: -20520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 356 - 557. List the prime factors of (4\/12)\/(0 - 1)*z.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393*g - 195*g - 205*g + 514*g**2 + 6*g**2.\nAnswer: 520*g**2 - 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 23*v + 9. What is the units digit of d(23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*x - 37*x + 34*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3284 is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 468 and -18.\nAnswer: -8424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -m + o, o = 3*m - o + 17. What is the tens digit of -1*74*(1 + m\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.6, 141, 4 in decreasing order.\nAnswer: 141, 4, 2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 = 4*k - 3*p, 0 = 3*k + 4*p + 183 - 21. Let l = k + 54. Let w = 34 - 33. Sort -3, w, l in ascending order.\nAnswer: l, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/7 (b) 13 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -7*r**2 + 4*r - 8. Let f = 10 - 6. Let i be d(f). What is the units digit of (-78)\/i*(-1 - -9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5 = 2*k. Let g be 1\/k - 33\/(-15). Suppose -2*o + 2*w = 4, 5*w - 31 = 2*o - 12. Solve o*c + 1 + 10 = 5*f, -c = g*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66715962 is divided by 98.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 78.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-245))\/((-18)\/126)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 170 * -0.01\nAnswer: -1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 481 + 496*a - 285*a - 1137 + 449*a - 6*a**2 + 2*a**2.\nAnswer: -4*(a - 164)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, m: 3, k: 1, i: 1, p: 3}. Give prob of picking 1 p and 1 k.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -978733 by 4.\nAnswer: -978733\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 6\/3 - 15\/4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {l: 9, a: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/(-20)*(6 - 3))\/1. Which is the nearest to -5? (a) 3 (b) n (c) 2\/15 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**2 + 2218544640*m + 307621269979545600 = 0. What is m?\nAnswer: -277318080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2bce (base 15) in base 14?\nAnswer: 360b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 + 51*j + 28*j - j**2 - 4*j**2.\nAnswer: -2*j**2 + 79*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -51.6580930427.\nAnswer: -51.4580930427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*d + 60*d - 1980 = 0. Suppose -27*t = -60*t + d. Solve 0*q - 5*r - 1 = -2*q, 0 = q + r + t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 84 + 21. Suppose -8 + x = m. Calculate the remainder when m is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 7*c - 14. Let k(j) be the second derivative of -j**3 + 1\/6*j**c - 2*j + 0 + 2*j**2. Determine b, given that k(b) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 63839776?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 3, 2988*x - 4*m - 14 - 2 = 2986*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n**3 - 12*n**3 - 3*n**3 + n**3.\nAnswer: -23*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1448, 2893, 4338, 5783?\nAnswer: 7228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - 0.2. Let w = -1.906 + -3.094. Put w, -4, z in descending order.\nAnswer: z, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 98691658, 197383317, 296074976, 394766635?\n\"Answer: 98691659*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157 = 19*o - 71 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 1 = -2*n + 2*f, f = -3*n + 1. Let i be ((-9)\/6 + n)*4. Suppose -i*d = 0, 0*s + 2*s - 5*d = 34. Calculate the remainder when 48 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(5 + 1))\/(6\/(-108)). Let a be (-4)\/10*(-840)\/(w - -1). Suppose 4*g = -z - 155, -3*z + g = a + 469. What is z rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/8 + 3\/(-6). Let u be (0 + 1)*0\/122 - (-5)\/20. What is the second smallest value in -22, u, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-67 - -38 - -23) + 42?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 3*r + 3*v - 18, 5*r - 2*v = -21. Let f be -12 - r - (-3 - 0). Let t = f + 17. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6\/1529, -5, -24, 13, -1\/5?\nAnswer: 6\/1529","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -6 - (-10 + 14) - 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21619885?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, b: 2, k: 1, t: 1, m: 4}. Give prob of picking 2 b, 1 m, and 1 k.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -596, 3\/5, -3\/2, 3, -3 in ascending order.\nAnswer: -596, -3, -3\/2, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1950 - -2060) + -42 + 2.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2794*z**2 + 151*z - 18. Let d(r) = 1397*r**2 + 67*r - 8. Give 9*d(k) - 4*t(k).\nAnswer: 1397*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336520 divided by 5.\nAnswer: 67304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 1775?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.1761 and -81795.\nAnswer: -81792.8239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -7. Suppose -3*z = -12 + 3. Let y(n) = -n - n**z - 22 - 6*n**2 + 3*n + 31. Determine y(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1494*v**2 + 2978*v**2 - 1485*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71*a**3*j**3*n + 2*a**3*j**3 - 52*a**3 - 3*a*j**2*n - j**2*n wrt j?\nAnswer: -426*a**3*n + 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20919 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*j + 8. Suppose j*m - 5*m = -18. Suppose a + 12 = z, 5*z - 70 = -m*a + a. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16 + 47 - 3 + 29 - 2515*l**3 + 9*l**2 wrt l?\nAnswer: -15090","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -67 - c0a77?\nAnswer: -c0b11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12313.\nAnswer: 7, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0 (b) 0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/9))**(-37)\/(w**(-2\/9)\/w)**(-2\/35) assuming w is positive.\nAnswer: w**(-2612\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 - 54 + 92*w**3 + 83 to the form h*w**2 + x + b*w + g*w**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - a = -2, 0 = -0*k - 2*k + 5*a - 3. Let v be 2 - (k - 1) - -2. Is 5 - v - 22\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (1 - -9) + (-13 - -3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 2*x**2 - 3*x + 8. Determine j(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166, 131, 0, 4, -4, -1, 3 in increasing order.\nAnswer: -4, -1, 0, 3, 4, 131, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/6240 and -77\/148192096?\nAnswer: 2222881440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10699*n**2 - 10699*n**2 + 1688304*n**3 - 1688302*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) -0.09 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 9*y**2 + 9*y**2. Let q(g) = 20*g**2 - 17*g - 17. Let d(i) = 7*i**2 - 6*i - 6. Let n(a) = 17*d(a) - 6*q(a). Determine w(n(f)).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o**(-4\/3)*o**(-2\/7) assuming o is positive.\nAnswer: o**(8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11663133.3 microseconds to weeks.\nAnswer: 0.00001928428125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 339 + -229. What is the highest common factor of 44 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i**2 + 1. Let r be t(1). Let y(h) = -2*h + 3. Let v(m) = -m + 2. Let d(k) = r*y(k) - 7*v(k). What is the derivative of d(g) wrt g?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 24*j. Suppose 3*b + 1 = -2*o - 2*o, 5*o = 5*b + 25. Let z(r) = -o + 2*r**2 + 14 - 12. Determine h(z(s)).\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/4 + 8*p**2 - 85*p + 300.\nAnswer: -(p - 12)*(p - 10)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/32 and -4\/237.\nAnswer: 7584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 + 4 - 11 + 2*l**3 - 5*l**2 + 3 + 3*l. Let g be i(3). Let j = 94\/3 - g. Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1162468*n**2 + 581223*n**2 + 581242*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -212 + 210. What is the second smallest value in -3\/8, -5, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 42\/(-5)*490\/(-21). Suppose -4*a - 5*o + 157 = 0, 2*o - r = -3*a - 73. List the prime factors of a.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jajj when four letters picked without replacement from aajajjjjjj.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 8 = 3*c + v, 0 = -2*v + 10. Suppose -c*b = -b + 3. Let i(s) = 361998*s - 2. Let o be i(b). What is o rounded to the nearest ten thousand?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 10*t**2. Let a(c) = -4*c + c + 6*c - 2*c. What is a(g(u))?\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 47326.664 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k, b + 2*b - 3*k = 0. Sort 4, b, -6 in ascending order.\nAnswer: -6, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*c**3 - 28*c**3 + 17*c**3 - 21*c**3 - 3*c**3.\nAnswer: -113*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5017, 21306, 48885, 87760, 137937, 199422, 272221?\nAnswer: 356340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/1240 and 59\/23436.\nAnswer: 234360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -0*f + 25. Let u be -2 - -2 - (f - 7). Let w be ((-8)\/u)\/((-14)\/35). Solve -8*g - w = -3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(2\/(6\/3)). Let f(p) be the second derivative of p**5\/20 + 13*p**4\/12 + 2*p**3 + 4*p**2 - 9*p. What are the prime factors of f(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2213*s**2 + 429*s**2 - 880*s**2 + 2*s**3 - 571*s + 1.\nAnswer: 2*s**3 - 2664*s**2 - 571*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 1, 3, 4, 1783, -42 in increasing order.\nAnswer: -42, -5, -2, 1, 3, 4, 1783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r - 24 = 11*r. Solve -5*b + 33 = -0*w + r*w, -5*w + 5*b = 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*b + 26 = 0, 3*b - 92 = -5*d - b. What is the lowest common multiple of 7 - (-20)\/(-6) - 1\/(-3) and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64*m*u**2*v + 1241*m*u**2 - m*u*v**3 - 2795999*u**2*v**3 + 2*u**2*v + 4*v**2 wrt v.\nAnswer: -6*m*u - 16775994*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, h: 2, k: 5, m: 2}. What is prob of picking 2 k, 1 h, and 1 m?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 8 = -z. Let u(r) = -9*r - 3. Calculate u(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/16491 and -23\/57.\nAnswer: 313329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2422.54 - -2422.44. Let o(c) = -c - 2. Let i be o(3). What is the third smallest value in 8, i, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1404\/(-7371))\/(2*18\/84)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.2 (b) 2\/11 (c) -0.324 (d) -0.5 (e) 1\/3 (f) 301 (g) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 22*o**2 - 59*o - 479. Give w(-24).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 38*v**4 + 7*v**3\/3 - 3*v - 2. What is the second derivative of q(r) wrt r?\nAnswer: 912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 13*f + 50. Let k be l(-16). Solve -3*o - 2*q = -k*o - 11, 4*q - 20 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 = -h + 191. Solve -18*p + 13*p - 3*d = 6, -h = -4*d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (3 - (-2 + 3)). Suppose l*z + 4*z = 64. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 3*j**2 + 2. Let w be b(3). Suppose 0 = 4*g - w*g + 14. Let p be ((-12)\/21)\/(2\/g). Solve -i - 6 = p*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 61558 (c) 1\/7 (d) -1\/3 (e) 2\/15 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2865 and 14242297.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -2*a**2 + 0*a**4 + 0 + 0*a + 0*a**3 + 1\/30*a**5. Let c(m) = 2*m**2 + 1 - 1. Determine k(c(u)).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -297.02 - -292. Let i = x + 0.02. Let v = 0.03 - -0.37. Sort v, i, 1\/9 in descending order.\nAnswer: v, 1\/9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 27 (b) 96 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/13 + 9939307\/91 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-84)*175\/(-75).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.7104686 rounded to 0 dps?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 158*h**2*j**3 + 250*h**2*j**2 - 47697*h*j**3 - 8*h + 576*j**2 wrt j?\nAnswer: 948*h**2 - 286182*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4336, -6, 1\/3, -4, 1, 0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 - (0 + 12 + -8 + 0 - (-3 - -1)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 2*k = -4*c - 16, -3*c = -5*k - 17 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -18. Let l = -0.2 + 0.5. What is the closest to 1\/4 in -0.3, l, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1144 divide 2453880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 287440 or 287444?\nAnswer: 287444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 476 or 475?\nAnswer: 475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 - -58. Suppose 2*l - 4*d + 6 = 0, l + 5*d = -a + 25. Solve 3*k = -0 - l for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001173 rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 23*g**2 + 2*g - 2. Let n(z) = -19*z - 11. Let d(c) = -15*c - 9. Let q(u) = -5*d(u) + 4*n(u). Determine -h(j) - 2*q(j).\nAnswer: -23*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 83 - 30. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -0.11389?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -2*f + 15. Let w be (12\/8)\/(f\/(-2)). Let x be 3\/((-1)\/(-2) + w). Sort -3, -5, x.\nAnswer: -5, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xed when three letters picked without replacement from dexddeddeeedwdxeed.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5917 and 873?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1434.\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 4*w**2 + 4*w + 2. Let o be z(-2). Let c be 3\/(-3)*o + 2. Suppose n - 10 = -c*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4861721 is divided by 126.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 344130 (base 5) in base 6?\nAnswer: 133251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) -0.4 (c) 0.02 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bggbbgg. What is prob of sequence bbg?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2932740 rounded to the nearest one hundred thousand?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgssgs. Give prob of picking 2 g.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195074.\nAnswer: 2, 11, 8867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16923056?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -295 - 0?\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 397282246 + 19*c - 397282246.\nAnswer: 19*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 2, -26, 238?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*a = -169320, j + 3*a + 225753 = -3*j. Let k = -115506 - j. Round k to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1247 + 1237. Let j be (0 + 2)\/(-2)*1. Is (-965)\/k - j\/(-2) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-5)\/330*11)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46*b**2*x**2 - 49*b**2*x - 67*b**2 - 15*b*x**2 + b*x - x**2 wrt x.\nAnswer: 92*b**2 - 30*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -996 and 414760480937?\nAnswer: 414760481933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 25 + 714?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -208, 2, 5, 12, 4 in descending order.\nAnswer: 12, 5, 4, 2, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 179489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 132440 a multiple of 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 1296.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 9. Let o be k(-6). Suppose -5*y = -61 + 16. Solve o*t + y = -0*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 477 + -3?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/280 and 36\/121.\nAnswer: 33880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/5 + (-108)\/(-60). Let 9 - 9 - 2 + t*h**2 = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**2\/4 + 25*c\/4 - 6 = 0.\nAnswer: 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76565?\nAnswer: 5, 15313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 240562174 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43\/221 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 6*o = -5*s + 2859, 3*s = 2*o + 1713. Let w = s + -98. What are the prime factors of w?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -9*a**3 + 23*a**2 - 3*a. Suppose 3*d + 2 = -4*k, -5*d = -5*k + 19 + 31. Let t(u) = -3*u**3 + 8*u**2 - u. Calculate d*s(o) + 17*t(o).\nAnswer: 3*o**3 - 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 1. Let u(k) = 3*k**2 - 11*k - 5. Give 5*b(h) + u(h).\nAnswer: -2*h**2 - 11*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k - 161. Let i(f) = 2*f + 484. Calculate -4*i(a) - 11*x(a).\nAnswer: 3*a - 165","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-59 + 1 - 34)*(8*o - 11 + 11)*(-3*o + 0*o + 2*o)*(3 - 4 + 2) to the form g*o**2 + c + d*o and give g.\nAnswer: 736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - 2003?\nAnswer: -1323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -60*k**2 + 75*k - 26. Let i(v) = v**3 + 6*v**2 + 2*v + 1. Let l be i(-6). Let w(n) = -12*n**2 + 15*n - 5. Let q(b) = l*w(b) + 2*r(b). Factor q(j).\nAnswer: 3*(j - 1)*(4*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 8*x. Let y = -37 + 65. Suppose 4*n + y = 2*q, n + n + 6 = -q. Suppose 2*k + 8 = 5*z, -q*k + 8 = -5*z + z. What is i(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6436, 25645, 57624, 102373, 159892, 230181, 313240?\nAnswer: 409069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3490919 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-4 + (sqrt(128) - (sqrt(128) - sqrt(128)*-2)))**2 + 4 + 0 + sqrt(128) - ((sqrt(128)*-1)**2*-1 - ((sqrt(128) + 1)*6)**2))*-2.\nAnswer: -31824 - 4272*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 10*k - 101. Let h be d(11). Let g(z) = 8*z**2 + 12*z - 132. Is 24 a factor of g(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/837761 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -8*d + 5. Give q(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*o - 12 - 1, -3*l = 2*o - 15. Let k(t) = -t + 2. Let q be k(-5). Suppose 0 = o*g - q*g + 42. What is the remainder when g is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*b + 119 = 0, 4*b + 3 + 124 = i. Let d = 123 - i. Let k(z) = -z**3 + z**2 - 20. Determine k(d).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 4) to base 16.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1223234 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*4\/3 - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 570678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 5*k + 17 = 0, -7*m + 0*m + 8*m - 5*m + 7*k - 29 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5725 (base 8) in base 9?\nAnswer: 4135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97813590.\nAnswer: 2, 3, 5, 7, 439, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 + -15. Suppose -o = o - j. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0.5. What is the second biggest value in -3, o, 5, 24?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*t - 3, -v = -4*t - 0 + 11. Suppose 2*m - 4*q = -16, t*m - 3*q + 12 = 2*m. List the prime factors of 10 - (2 - (m - 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*a + 476 + 316 = 0. What is the lowest common multiple of a and 5616?\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5874 and 2046.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17652 is divided by 8264?\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -247?\nAnswer: -98.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a microgram in nanograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(5) - (sqrt(5) - (sqrt(5) - (sqrt(320) + -4)))) + sqrt(80)*6 + ((0 + sqrt(720) - sqrt(720)) + (sqrt(80) - sqrt(80)*-1))*-4)**2.\nAnswer: -120*sqrt(5) + 1144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m. Let o(u) be the second derivative of 0*u**2 + 0 + 2*u + 1\/3*u**3. Calculate o(q(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 312 (base 8) to base 13\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 4 (c) -2\/13 (d) 0.1 (e) 3 (f) 1\/3 (g) 25030\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 16. Let r be (75 - 3)\/(6\/l). Suppose -r = -2*y - 0*y. 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: Which is the biggest value? (a) -11 (b) -2\/61 (c) 4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*o + 13 - 8 = 0, o + 1 = 0. Let v = 125 + -499\/4. Factor -v*n**2 - y - n.\nAnswer: -(n + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 58 = 2*n - h, 4*n = -3*h + 35. Suppose 5*x = 4 + n. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*q - 12. Suppose -40 = 5*p - 2*n, -q*n - n = 2*p - 8. Is -4 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-1 - (-70)\/15)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 42 = -6*h + 2*i, 0 = h - 4*i - 24. What is the remainder when 77 is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b42 (base 12) to base 6.\nAnswer: -23322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.012 rounded to 1 decimal place?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-42*a**2 + 92*a**2 + 13*a**2)*(-434 - 256 + 229) to the form x + y*a**2 + p*a and give y.\nAnswer: -29043","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/11, 4, 3, -1, 51\/19, 0.1 in descending order.\nAnswer: 4, 3, 51\/19, 0.1, -6\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a millennium in years?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -886 + -8a?\nAnswer: -954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1850 - 1217. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1 = 2. Suppose -4*j - 2*a - 6 = 0, -2*j - 5 = 2*a + 3. Suppose y - 3 - j = 0. Solve 0*h = v*r - 3*h - 6, y*r + 2*h + 10 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000735462 to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 16, 74, 186, 370?\nAnswer: 644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 991 (base 12) to base 5.\nAnswer: 21110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -259*h + 4186. Let t = -24 + 78. What is the smallest common multiple of z(16) and t?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552 is divided by 34.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8025301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-48)\/(-20)*(-2530)\/(-33). What is the common denominator of (-29)\/20*1380\/y and 249\/660 - 4\/10?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 106722*b**5 + 15*b**4 + b**3 - 35*b**2 + 3*b - 23131 wrt b?\nAnswer: 6403320*b**2 + 360*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 159172720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6258798 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: Which is the fourth biggest value? (a) -0.4 (b) 0.39 (c) 0 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - g = 4. Find the third derivative of -3*p**g + 8*p**3 + 2*p**6 - 8*p**3 wrt p.\nAnswer: 240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 176*h**2 - 2*h + 2. Let p be v(2). Suppose -2*o + 4*o - p = 0. Let f(u) = 309*u - 888. Let z be f(3). What is the greatest common divisor of z and o?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (915\/(-240)*(-36)\/(-45)*15)\/((-30)\/40).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wrwwrwwrrwrrwr. What is prob of sequence wrww?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*a = 4*o - 11, 27 = 3*o - 3*a. Suppose o*w - 16 = -4*p, -2*w - 3 = -p + 1. Solve -3 = -t - w for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 16*u + 1. Let o(f) = -30*f - 1. Let l(g) = 7*i(g) + 4*o(g). Calculate l(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.7 from -1177708395765.\nAnswer: -1177708395762.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07 + -0.07. Let n = 46 + -113. Let h = n - -467\/7. Are h and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 32*h**2 - 85*h - 50. Calculate q(29).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 9 (c) -0.1 (d) 8\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 177, 178, 179, 180, 181?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*o - 19*o + 13*o + (-5*o + o + o)*(-1 + 3 - 1) + 7*o - 4*o + 24*o + (-o - 1 + 1)*(1 + 3 - 3) to f*o + i and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4323 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46320628 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 5. Let q(m) = 2*m**3 + 2*m + 3. Let a = 92 - 93. Let j be q(a). Sort -5, j, y in ascending order.\nAnswer: -5, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 11. Is 6 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29734 (base 11) to base 5.\nAnswer: -2322040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000002 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2707?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6}. Give prob of picking 2 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/147 and 47\/126.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/2 + -7)*-3. Let l be (7 - 6)*-1 + 5. Solve z = l*f + f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**4\/3 + c**3\/2 + 3*c**2\/2 + 2*c. Suppose -2 + 6 = -2*a. Is f(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*k + 18, 5*k - 58 = -2*x - 0*k. What is the lowest common multiple of x and 112?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7464?\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.82? (a) -7 (b) -0.1 (c) 0.1 (d) 3\/13 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((20\/(-5))\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - q**2 - 3*q + 3. Suppose 4*t + 6*l - 4*l = 16, -5*l - 20 = -5*t. What is the smallest common multiple of t and y(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (182\/728)\/(2\/((-10)\/1)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -12*h**3 + 3*h**2 - 43*h. What is the first derivative of d(m) wrt m?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77427.14 centuries in decades?\nAnswer: 774271.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 15 = -1. Find the common denominator of 402\/(-308) + (-6)\/21 and (-12)\/r*(-2)\/12.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**4 + 29*h - 3*h**4 - 10*h**4 wrt h?\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 92.53269 micrograms?\nAnswer: 92532.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*h**3 + 79*h**3 - 158*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.03 + -0.13. Let x = 0.36 + a. What is the closest to 3 in 4, -0.3, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -526 in -2, 2\/3, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -8 (b) -190795 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -28*a**3 + 70*a**2 - 8*a - 1. What is i(2)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -221158, -222071, -223594, -225727, -228470, -231823, -235786?\n\"Answer: -305*x**2 + 2*x - 220855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/8 (b) -629 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 5:32 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = o - 4*o. Let g be (3\/(-2))\/o*0. Suppose -3*s - 12 + 45 = g. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/3))**(3\/19)*b*b\/(b\/((b\/(((b*(b*b**(-2))\/b*b)\/b)\/b)*b)\/b))*b*b**3 assuming b is positive.\nAnswer: b**(150\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqmmmqq. What is prob of picking 4 m?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 141626 to the power of 1\/2, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 494.922l in millilitres?\nAnswer: 494922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 7*f - 4. Let q be n(-8). Suppose -q*i + 7*i = -12. Let m(d) = d**3 + 4*d**2 - 3*d - 6. What is m(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 16*r + 19*r. Solve -r*j = -o, -2*o - 18 = -3*j - 7*o for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.3 * -97.\nAnswer: -1678.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -1\/2738340?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6013 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddiviivddddiiivdid. What is prob of picking 1 v and 2 i?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 1. Let j be 1*-1 - (o + -16). Suppose 4 - j = -3*k - q, 3 = -4*k + 5*q. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 188*o + 785*o - 10884 - 11495 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 x when two letters picked without replacement from {g: 1, o: 3, x: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 702808 and 472?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -532 in 10.7, -4, 2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**3\/7 + 134*u**2\/7 - 72*u = 0.\nAnswer: 0, 4, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*u + 43*u = -5. Suppose -4*m - 19 = -3*b + 13, -4*b + 34 = -m. Let z be 14\/b - 2\/(-8). Solve 0*s = 5*k + z*s - 11, u*s = -k - 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2019212787982 - -14.2.\nAnswer: 2019212787996.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29856004127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23220108 and 4374.\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 757775 (base 8) in base 11?\nAnswer: 163883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 19.85635 millilitres?\nAnswer: 0.01985635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/((-1144)\/(-220)))\/((-20)\/336).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g**3 - g**3 + g**3)*((-g + 5*g - 5*g)*(-2 + 8 - 2) + 3 - 3 + 2*g) to m*g + k*g**4 + l*g**3 + i*g**2 + d and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63780 and 30.\nAnswer: 63780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 194828 and 212.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 + -23. Suppose q = -2*q - c. Let r(p) = 9*p - 8. Let n(k) = -28*k + 23. Let g(i) = -4*n(i) - 11*r(i). Let v(w) = 6*w - 2. Determine q*v(l) + 4*g(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = f + 4*w, f = 4*f - 3*w - 531. Calculate the least common multiple of 216 and f.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -418, -696, -1432, -2854, -5190, -8668, -13516, -19962?\nAnswer: -28234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2. Let m(i) = 922*i**2. Determine n(m(g)).\nAnswer: 1700168*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 7. Let q be c(9). Suppose 2294 = -4*x + 238. Is q*x*(-2)\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -11*n + 9 + 0*n + 6*n**2 - 4*n**2 - 3*n. Let x be j(8). Let s be 2\/(4 - -4) + x\/44. Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -3)\/((-1)\/(-12)). Calculate the highest common divisor of 180 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -32617, -1, 2, 15 in ascending order.\nAnswer: -32617, -1, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1229, 482 in decreasing order.\nAnswer: 1229, 482, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*u + 5520 = 0, u - 2*u = 2*w - 2759. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-14) - (-4197)\/(-29673). Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 63 = -35. Suppose -2*q = 4*g - 10 + 8, -d = -2*q + 2*g. Solve 0 = 2*y - q*y + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.38 - 0.08. Let r = 365\/6 + -2567\/42. What is the nearest to 5\/8 in 4, h, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 225255, 225406, 225561, 225720, 225883, 226050?\nAnswer: 226221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/18*(-6)\/(-1). Suppose 3*p - 8 = i, 2*p + i + 1 = -r. Suppose 4*x = p + 23. Solve u - 2*d = x, -5 + 1 = -4*u + 4*d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.220093 kilometers to meters.\nAnswer: 5220.093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a*a\/(a\/(a**(-1)*a*a)))))\/a*a\/(a*a**(-2\/7)))**(-2\/9)*((a*a\/a**(-2\/7))\/a*a)**(-30)\/((a*a\/a**3)\/(a**(5\/4)\/a)) assuming a is positive.\nAnswer: a**(-1893\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 10:40 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 8*h**2 - 105*h + 187. Let d be i(2). Solve -d*p = 733 - 706 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15369129, 15369127, 15369125, 15369123?\nAnswer: 15369121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*w + 69*w - 20*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739430 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v + 8. Let p(t) be the first derivative of 8*t**2 + 5*t**3 + 21*t + 7 + 1\/4*t**4. Let n be p(-14). Give i(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 40.98 (b) 4 (c) -1\/319\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 0*z - 4*z - 16, 0 = -z. Suppose 70 = 3*o - u*h, -2*o + 4*h - 106 = -7*o. Let d = -19 + o. Let t(g) = g**3 - 2*g**2 - 4*g + 4. Give t(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*s = -28478, -445 - 13782 = -2*n + 3*s. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 27*u - 115. Determine y(-13).\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9 - 2)\/(7\/14). Let n = v + -8. Let s = 10 - n. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2))**(-31\/2))**30 assuming r is positive.\nAnswer: r**930","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1102, 2291, 3566, 4927?\n\"Answer: 43*n**2 + 1060*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 3*z + 21\/10*z**5 + 1\/4*z**4 + 21 + 0*z**3 + 13\/2*z**2. What is the third derivative of l(g) wrt g?\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 6) to base 16\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 t when two letters picked without replacement from jtjov?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**9\/181440 - k**8\/60480 - k**7\/7560 + 2*k**5\/15 + 15*k**2. Let y(z) be the third derivative of x(z). Factor y(s).\nAnswer: s*(s - 2)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373 is divided by 204?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 5*r - 2*k, 27 = r - k - 0*k. Let t be (-1)\/(0 + (-3)\/r). Solve 5*q + 11 = -t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 (base 9) in base 11?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + 34 + -3 + 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 10:01 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5 = -13. Let k(o) = -o**2 + 13*o + 1. Let d = -17 + 30. Let f be k(d). Solve h = -2*m - f for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.03 (b) -0.3 (c) -2\/18381 (d) -0.7 (e) 1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 2*y - 44. Let d(k) = k + 13. Let q be d(-10). Suppose -3*h + 3 = -4*u - 0, -2 = -2*h - q*u. Calculate the highest common divisor of h and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 12*l**5 - 187*l**4\/4 - 81*l**3\/2 + 73*l**2\/4 = 0.\nAnswer: -1, 0, 1\/3, 73\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 147 and 1038530.\nAnswer: 1038677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2*z + 21 = g, -28 = -2*g - 3*z. Let y(o) = -o + 35. Let h be y(g). Let d = -15 + h. Solve -d*a + 15 = -0*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-1)\/(-18)*8.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.07, 2\/5, 65, -1013?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) 0.5 (c) -1.663 (d) -1\/5 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/9 and -55\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -36 (c) 2\/5 (d) 3 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22 + 14*y + 64 + 4*y + 230*y**2 + 36*y**2 + 20*y**2 wrt y?\nAnswer: 572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 1 - 72)*(-2 + s + 2 + (3 - 3 - 2)*(1 - s - 1)).\nAnswer: -177*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2202, -2126, -2050, -1974?\nAnswer: -1898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**3 + 2*b**2 - b + 2. Let f(o) = -8*o**3 - 71*o**2 - 5*o + 10. What is f(x) - 5*i(x)?\nAnswer: 2*x**3 - 81*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1462172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11806 = 182*c + 8050 - 4204 for c.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**4\/20 + 77*o**3\/5 - 459*o**2\/10 - 2*o - 1645. Factor r(m).\nAnswer: -3*(m - 153)*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2)**(-8) assuming u is positive.\nAnswer: u**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + c**2 + c + 1. Let j(d) = 6*d**3 + 2*d**2 - d + 2. Calculate -2*g(b) + j(b).\nAnswer: 4*b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 6*m. Let j be i(-5). Suppose 4*c + 0*c = j*z - 1119, 5*z + 3*c - 1147 = 0. What are the prime factors of z?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241 - 241 + 482 - 7502471*o**3 + 7502466*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/3 or 32?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 3*z - 4 = 0, 0*s = 2*s + 2*z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 m when four letters picked without replacement from {w: 4, m: 8, r: 1}?\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -379*y. Let b(o) = o. Calculate g(b(h)).\nAnswer: -379*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243798029.\nAnswer: 61, 79, 50591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 27553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 346*c**4 + c**2\/2 + 1315*c - 932. Differentiate y(d) with respect to d.\nAnswer: 4152*d**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-2\/7)\/q)\/q)**(-42))**(-12)*q**(3\/2)*q*(q**(-2\/9)\/q*q)\/q*q*q**(-2\/7)\/(q*(q**5*q)\/q) assuming q is positive.\nAnswer: q**(-82153\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -27*t**3 + 12*t - 14. Let p(u) = -31*u**3 + 10*u - 14. Calculate 6*p(w) - 5*v(w).\nAnswer: -51*w**3 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3913090467?\nAnswer: 3, 11, 13, 73, 124951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 267129576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - w - 24 = 0. Suppose -w*d = -6*d. Solve 5*v + 41 = 4*k, d = -v + 6*v - k + 29 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.3568 (b) 0 (c) -67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 41.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.28? (a) -0.08 (b) 0.5 (c) -0.0495 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140 and 828100.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 86321089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 9 + -1 + 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -2*n - i + 283, 0 = -2*n + 4*i + 312. Let m = 160 - n. Which is bigger: 4 or m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - 34. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, z: 1, w: 1, b: 2}. What is prob of sequence bwk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8504514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/3 + -7\/6. Let n be (-3 + 0 + 4)\/(6\/30). Put 6, u, 4, n in descending order.\nAnswer: 6, n, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -349*v + 350*v = -4*f + 9393, 2*f - 2*v - 4704 = 0. Is 29 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -7. Let y = -385 + 384. Let k be 12\/(-6)*(-1 - y\/2). Which is the fourth smallest value? (a) 3 (b) q (c) -0.8 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 284640 = 2*u - 284670, -3*u = 3*g - 36 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 549.2 - 549.3. What is the closest to g in 113, 1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1018, -2045, -3074, -4105?\n\"Answer: -a**2 - 1024*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2445 or 2462?\nAnswer: 2445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5611*l**3 + 4*l**2 + 6*l - 10. Let j be g(2). Suppose -25*z + j + 99569 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 12*t**2 + 12*t - 9. Let r be u(11). Solve -4*m - 12 = 3*i, 5*i = -r*m + 4*m + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 615995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2807839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - f = 7, -4*f - 573 + 626 = -7*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -1\/5, -110\/3, 0.1, -1, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2512509 by 837503.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/12624 and 125\/24.\nAnswer: 12624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 20*d**4 + 16*d**3 - 28*d**2 + 8*d + 16. Let a(k) = -k**4 - k**3 + k**2 - 1. Let b(h) = -16*a(h) - u(h). Determine l, given that b(l) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 5*n. Let d(q) = q**3 - 4*q**2 - 2*q - 10. Let f be d(5). Let u(w) = -2*w**2 - 4*w. Let m(h) = f*u(h) + 4*g(h). What is p in m(p) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2157, -2\/3, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1886, 3, 1 in decreasing order.\nAnswer: 3, 1, -1886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -2175\nAnswer: -2174.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628 is divided by 281?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*y**3 - 111*y**3 + 44*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29673 - 30188 + 60471 - 2*o)*(0*o**3 - 8*o**3 + o**3) to the form a + t*o**4 + x*o**3 + i*o + j*o**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 36 + (-1 - 15) + -16\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 25*y - 1426. Determine n(58).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.142 - -3.942. Which is the closest to 1? (a) 5 (b) s (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.09 * 1\nAnswer: -2.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44542076 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1451058?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 223*d**4 - 10929*d**3 + 388739*d**2?\nAnswer: 5352*d - 65574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 145 = 55. Let o be (-1)\/(-28) - c\/(-105). What is the closest to -1 in o, 2\/9, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1080, 1983, 2800, 3489, 4008?\nAnswer: 4315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = b + 2*g + 12, 4*g = b + 4. Determine y so that 6*y**3 + 0 - 7*y**b - 6*y + 2 + 15*y**4 - 10*y**2 = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v - 254*u = -7*v - 2*v + 496, -4*u + 3*u + 22 = 2*v for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-4\/9))\/((y**(-9)\/y*y*y)\/y)*(y*y**(-1))\/y*y**(-2\/5)*y assuming y is positive.\nAnswer: y**(452\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1558*m + 1117*m - 162*m + 69*m - 299512 for m.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-44))\/((-2)\/(-8)). Let i = -0.6 + 0.2. Let j be (-10)\/(-9) - 36\/27. What is the second smallest value in i, w, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3272, 0.3, -1\/4, 1, 2\/33?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, k: 3, z: 2, b: 1, r: 12}. What is prob of sequence bq?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 5*z - 3*t, -3*z - 9 = 2*t - 51. What is the greatest common factor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3 = 2*a - 19, -4*a + 24 = 2*b. Suppose 4*r = -3*x + x - 30, 0 = -4*x + a*r. Let n(m) = -347 + 3*m**2 + 346 + 4*m - 2*m**2. Calculate n(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (11 + -4)) + (34 - (17 - -2)) + -14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.202 + 17.798. Sort 25, -0.1, l, 0.1 in descending order.\nAnswer: 25, l, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-48) + (-7)\/42?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 2 + 3 + (-96 - -111)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 0 - 5 - 5*a - 6. Let x = -14 + 8. What is the tens digit of h(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 2 - (-1 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144 by 2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2613, -2647, -2685, -2727, -2773, -2823?\nAnswer: -2877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 720?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (286\/3432)\/(2\/72)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wswsws. Give prob of picking 3 s.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-4) - (-1 - 4). Let a be (-2 + t - -4)*1. Solve 12 = -a*n + 3*k, n - 3*k - 12 = 5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2962\/(-1))\/((-2)\/11). Let v be -1 + 16 - 42*11\/66. Suppose 0 = v*j - 19*j + p. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 (base 8) in base 10?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6266.75m in nanometers?\nAnswer: 6266750000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x - 1. Let t(q) = q**2 + 7*q + 1. Let v be t(-6). Let m(l) = 11*l - 1. Let c(n) = v*j(n) + 3*m(n). What is the derivative of c(u) wrt u?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 4 = -2*p. Let v(z) = -9*z**3 - 1. Let o be v(-1). Suppose g = -g + o. Solve g*q - p = 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19824 is divided by 19491.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/2, 15.1, 2, 2\/15?\nAnswer: 15.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 62 = -2*a + 4*a, -j - 34 = 5*a. Let q(c) = 11*c + 142. Let i be q(0). Let x = j + i. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29334906?\nAnswer: 2, 3, 107, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 2*f**2 + 9*f + 10. Suppose p + 8 = -k, 4*k = 8*p - 5*p - 18. Is i(k) a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4 + 6 + 1 + 28*c**3 + 9 wrt c.\nAnswer: 84*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**2 - 5*z**2 + 2*z**2.\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5910 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: Suppose -3*w = -3*j - 0*w + 264, -4*w = 4*j - 336. Suppose s - 30 = 2*i, -3*i - 58 = -3*s - 5*i. Calculate the remainder when j is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, d: 6, s: 1, y: 5, b: 1, a: 3}. What is prob of picking 1 y and 1 d?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2920, 5913, 8906, 11899, 14892?\nAnswer: 17885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 7 = 17. Suppose -2*t + 3 = -4*d + d, -2*t = h*d - 8. Let z be (-702)\/(-8) - t\/4. Round z to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*w = -9, -2*y + 1 + 17 = -4*w. Let d(m) be the first derivative of -m**2\/2 + 3*m - 25. Let q be d(y). What is the closest to q in -0.2, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/c**(1\/4))*c*c\/c**(-1\/5) assuming c is positive.\nAnswer: c**(49\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71 - -80. Let c be (78\/v)\/((-2)\/3). Let o be (1*c)\/(1\/(-1)). Which is smaller: o or 40\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 11012?\nAnswer: -11022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-3*(-2)\/(-6)). What is the biggest value in -0.64, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 + 6*p**2 - 4*p**2 + (2*p - 2*p + p**2)*(1 - 4 + 0) - 5*p**2 + 5*p**2 - p**2 + (-2*p + 2*p - p)*(2 + 2*p - 2) - 3*p**2 + 9 - 9.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36446357, 72892718, 109339079, 145785440, 182231801, 218678162?\nAnswer: 255124523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 + 143*v + 4 - 10.\nAnswer: 143*v - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16546 - -330811\/20. Let d = 209479 + -45666341\/218. Calculate the common denominator of y and d.\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 657.3243ng?\nAnswer: 0.0000006573243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 13*s**2 - s - 7. Let g be -13 - 2*(-1 + -1) - -3. Let j be h(g). Suppose -n = -4*r - 161, -r - j = -3*n + 38. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-11)*t*t)\/(t\/t**(-3\/4))*(t\/t**(-10\/13))**24)**(15\/2) assuming t is positive.\nAnswer: t**(24735\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of 5*v**8\/336 - 2*v**7\/7 - 79*v**6\/24 + 595*v**5\/6 - 875*v**4\/2 + 2500*v**3\/3 - 2*v**2 + 79*v + 5. Solve q(f) = 0 for f.\nAnswer: -10, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -2\/39, 1\/19, -17, 0.4 in increasing order.\nAnswer: -17, -5, -2\/39, 1\/19, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 392*h**3 - 1100*h**3 + 2 + 10149*h + 707*h**3.\nAnswer: -h**3 + 10149*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2295721 - -0.0995715. Let w = x - -0.13. Round w to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -34 + -83 + 204.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*f - 23*f = -143*f. Sort 8, 5, -64, f in descending order.\nAnswer: 8, 5, f, -64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 29*y**2 - 147*y - 11. Is d(24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -653, -2639, -5957, -10607?\n\"Answer: -666*o**2 + 12*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -9.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/((x*x\/(x\/(((x\/(x\/x**1))\/x*x)\/x)))\/x)))**(13\/3)\/(x\/x**(-23)*x**43) assuming x is positive.\nAnswer: x**(-67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1692 - 1693 - 1695 + 6904 - 1824 - 3*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -2334 and -2345 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) -3\/9580 (c) -27 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2430131617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 5*s**3 - 3290*s**2 + 404780*s - 13963800 = 0.\nAnswer: 74, 510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s + 1. Let r(p) be the first derivative of p**5\/40 + p**4\/24 + 29*p**3\/3 + 9. Let f(h) be the third derivative of r(h). Let i be f(-1). Give q(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 7:37 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-10))\/(810\/900).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*126\/280*430\/(-129)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 0. Suppose 12 = -t*r - 4*g, 5*r + g - 6 = -0*g. Suppose 0 = 2*m - l - 6, r*l - 5*l = 0. Solve -5*s = -2*s + m*z - 12, 3*s + 2*z = 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2235 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)\/(t\/(t\/t**(-1\/4))*t))\/((t**(-6)\/t)\/t*t**(2\/11)*t) assuming t is positive.\nAnswer: t**(223\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 36381307 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**(-42)*(s*s\/(s*s**1*s*s))**48 assuming s is positive.\nAnswer: s**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 146 or 434\/3?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*n + 5*k - 118 = 37*n, 141 = 5*n + 3*k. Suppose -z + 36 = 4*l, 2*l + 6 = -z + 24. What is the highest common factor of n and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10577603?\nAnswer: 31, 83, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d - 6*j - 87 = 0, -4*d + 596 = -0*d - 4*j - j + 559 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - (2 + -13)) + (-1 - -7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -823 + 823. Sort -3, z, 14 in increasing order.\nAnswer: -3, z, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 5*i**2 + 2*i**2)*(64*i**3 - 321*i**2 + 321*i**2)*(3 - 7 - 12).\nAnswer: 1024*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - 0. Let d = 3 - 2.5. Put d, -5\/3, w in ascending order.\nAnswer: w, -5\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28363 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + -2 - -5) + (5 - 3). Suppose -2*q = -4*n + 46, 11*n - m*q + 64 = 16*n. Put 0, -0.1, n, 4 in increasing order.\nAnswer: -0.1, 0, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2804 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -76*f**3 + 2*f - 1. Let r be j(1). Let h = -54 - r. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*w + 695 + 505. Does 53 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -4 in descending order.\nAnswer: 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 346?\nAnswer: -1730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1435749 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 221202342 (base 5) to base 8\nAnswer: 3522352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 154785 by 30957.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 820 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**2 + 23972*o + 191840 = 0. What is o?\nAnswer: -8, 23980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12435 and 75.\nAnswer: 62175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21)\/(-12) - (-2)\/8. Let a be ((-16)\/(-3))\/((-1)\/3). What is the units digit of 2 + a\/(r*-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4 = 2*s, -3*f = 2*s - 7*f - 8. Let q(o) = 2*o - 1. Let b(u) = 2*u + 6. Let h(l) = -2*l - 5. Let c(n) = -6*b(n) - 7*h(n). What is s*c(r) + 3*q(r)?\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22296 - -22701. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*f**2*i**2*v - f**2*i*v**2 - 3*f**2*v - f*i*v - 3*i**2*v**2 - i**2 + 3*v**2 wrt v.\nAnswer: -2*f**2*i - 6*i**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/(-6) - -3 - 0. Let w(m) = m - 2. Give w(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5064278 + 5064278.7876449. Let s = m + -0.7873. Round s to five dps.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**4\/6 + 19*k**2 + 6179*k. Let w(q) = 49*q. What is o(w(a))?\nAnswer: -4802*a**2 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 3*y**2 - 2*y + 6. Let c be k(3). Let f(d) be the second derivative of d**4\/12 - d**3\/6 + 5*d**2\/2 - 2*d. List the prime factors of f(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 55*u**3 + 42*u**2 + 5*u + 5. Let z(y) = 54*y**3 + 41*y**2 + 6*y + 6. Let m(b) = 6*p(b) - 5*z(b). Find the third derivative of m(i) wrt i.\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 5. Let p = 2.1 + f. Let h = 245\/8 - 31. Which is the nearest to p? (a) -5 (b) h (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 506 = -122. What is the remainder when (11\/(308\/y))\/(1\/7) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.72 + 5.58. Let v = 759 - 760. Which is smaller: v or k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 777*f**6 - 364*f**3*i**2 + 3*f**2*i + 2*f*i**2 + 244963*f wrt f?\nAnswer: 93240*f**3 - 2184*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22828878 and 642.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/4 - -2429 - 0 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 2*l - 207, 5*o + 71 = 5*l - 19 - 120 for o.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/((60\/10)\/6)*1*-1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-27) + (-728)\/24 + -4 + 5.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/28)\/((-39)\/26).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26432529 is divided by 218450.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -32.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122328411 and 327.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1122 and 1999778?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91 - 6*g**2 + 6*g + 2*g - 4*g.\nAnswer: -6*g**2 + 4*g - 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i + 0*i**4 - 15*i**4 + 16*i**4 + 17*i**4 + 2 - i**2 - 4*i**3 to the form f*i + u*i**2 + x*i**4 + h + d*i**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 10. Suppose -2*s + 66 = t. What is the remainder when 58 is divided by s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 12*l. Let q(r) = -2*r**2 + 3*r + 125176. Calculate d(q(b)).\nAnswer: -24*b**2 + 36*b + 1502112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 5:57 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - j + 3*h - 847 = 0, -2*j + 427 = 5*h. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, w: 1, b: 4, f: 1, d: 2, u: 1}. What is prob of sequence dt?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-48)*(-6)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - 37. Suppose 5*g = g + v. Suppose 4*b - 19 = g*i + 57, 0 = -5*b + 3*i + 85. Calculate the greatest common factor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 2*a + 28 = 0, 3*k = 9158*a - 9156*a - 21 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 33*n**2. Let x(m) = -65*m**2 + 446958 - 446958. Calculate 6*x(t) + 11*y(t).\nAnswer: -27*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32275\/8 + 4046. Find the common denominator of g and -77\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25*52\/3250*(-36 - -1)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-154)*3654\/(-261)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/2 + (-14)\/(-7)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/731 in -4, 0.1, -14\/3, -8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 8*q**2 + 2*q + 3. Let h be k(4). Suppose 5*u - 1259 = -3*x - 259, -5*u + 5*x + 960 = 0. Let m = u - h. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -v - 6*y, 0 = 3*v + 37*y - 43*y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooaooqoaaaqqoq. Give prob of sequence oo.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 11 + 52 = 2*k, 0 = -5*v - 4*k + 57 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by 1\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -4)\/((-5)\/181250). Round p to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, m: 3}. Give prob of sequence qm.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/17 and -4\/1197.\nAnswer: 20349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 0*u**2 - u**2 + 4*u - 11*u. Let d = -3 - 3. List the prime factors of j(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nyrrodxn. Give prob of picking 1 n, 1 o, and 1 d.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**5 - 4*z**5 + 2*z**5)*(1 + 0 - 2)*(-3 - 4 + 0).\nAnswer: 14*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11612795 a multiple of 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4038256896+-85\nAnswer: -4038256981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddccdcmdcddddcm. Give prob of picking 1 d and 1 m.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.27 + -3.27. Suppose 8*i + 0*i - 24 = 0. Let k = 1.5 - 2. Sort k, n, i.\nAnswer: k, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 4*l + (-2 + 2 + 2*l)*(-1 - 1 + 1 + (-3 - 1 + 2)*(-3 - 1 + 5))*(1 - 7 - 6).\nAnswer: 76*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -329, -1339, -3097, -5663, -9097, -13459, -18809?\n\"Answer: -10*t**3 - 314*t**2 + 2*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12610560 and 1600?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 5:25 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201002 (base 3) to base 9.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1067799*j + 1067798*j - 3203386*j + 1067785*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -488 - -486. Which is the nearest to 1? (a) 0 (b) -58 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334*h**3 - 303*h**3 - 417*h**3 + 206*h**3.\nAnswer: -848*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68656 is divided by 34284.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*s + 55*s = 30 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -9*6\/(-9) - 4. Suppose 0 = 5*h - 3*z - 8, 2*h - 7 = -z + 5. Suppose j + 0*j = 5. Solve m*w - 1 = -j*v, h*v - w + 5*w = 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*18\/(-900)*(-4)\/(12\/5)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2488041300 rounded to the nearest one million?\nAnswer: 2488000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7*h - 7. Let a(k) = 8*k + 9. Let s(j) = -2*a(j) - 3*g(j). Give s(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -51 from 166933299033.\nAnswer: 166933299084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4673 rounded to the nearest 100?\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.001 - 20.999. Let i = -3.5 + h. Round i to 0 decimal places.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -4, 2608, -3\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 51579\nAnswer: -51573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b + 1. Let j be (-2)\/(-6) + 78\/9. Let c(w) be the first derivative of -2*w**2 - 2*w - 3396. Calculate j*y(f) + 4*c(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4\/(b*b\/(b\/(b*b\/b**(4\/7)))))**(-34)*(b**(1\/4))**(-2)*(b*b\/(b\/b**(-2)))\/b*b**(-1\/3)*b assuming b is positive.\nAnswer: b**(-2321\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-164089838)\/(-6308) + 1\/38?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -727 - -161. Let h = n + 263. Let z = h + 302.538. Round z to two dps.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**13*g)\/g**5)**(-3) assuming g is positive.\nAnswer: g**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1\/4 (b) 0.11 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 499 = 2*y + 2*c, 0 = 5*c - 40. What is the remainder when 13900 is divided by y?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.24 (b) -5 (c) 0.09 (d) 2 (e) 2\/5 (f) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31010420 divided by -1795.\nAnswer: 17276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-1)*(44\/(-16))\/(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -101327838 divided by -53?\nAnswer: 1911846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144703, -144696, -144689?\nAnswer: -144682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 118556 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 126.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -241.543 rounded to the nearest integer?\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -173 (b) 2\/7 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5926753233.\nAnswer: 3, 181, 44917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q. Let x = 61 - 36. Let c = -23 + x. Let l(s) = s**c + 4 + 3 - 7. Calculate r(l(j)).\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.6 (b) 522\/7 (c) 4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -3*c - n, -24*c + 2*n = -28*c + 56. Are c and 354\/23 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -303274621*c*u**3 - 3837*c*u**2 - 8*u**2 + 811*u wrt u.\nAnswer: -1819647726*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2012?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17589 and 2673?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*-3*-4*(2*sqrt(1900) - sqrt(1900)))**2 + (4 + (sqrt(1900)*2 + -1)*1)**2.\nAnswer: 120*sqrt(19) + 1102014","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2068 + -2073. Let g(s) be the second derivative of s**6\/360 + s**5\/30 - s**4\/4 + s**3\/3 + s. Let o(q) be the second derivative of g(q). Determine o(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**2 + 4*t + 2. Let x(z) = z**2 + 2. Let j(p) = -f(p) + 3*x(p). Let s(r) = -5*r**2 - 1. Let l be s(1). Determine j(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 554239265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 6 = 2*w, -4*h + 10 + 3 = w. Suppose 4*m - 4 - 4 = -4*r, 0 = -3*m - w*r + 4. Let o = -227 - -227.02. Sort 1, -5, o, m in ascending order.\nAnswer: -5, o, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6725785 times -31?\nAnswer: 208499335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*h + 3*h - 15*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 34\/5 of a kilometer?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**4 + 99*l**3 + 5*l**2 - 107*l. Let r(o) = -3*o**4 + 102*o**3 + 6*o**2 - 114*o. Let v(y) = 3*q(y) - 2*r(y). Factor v(n).\nAnswer: -3*n*(n - 31)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -13*m - 6. Let n(i) = 6*i + 3. Let o(l) = 5*n(l) + 2*t(l). Let h(q) = 1 + 158*q + 8 - 10 - 159*q. Determine 2*h(w) + o(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2939538?\nAnswer: 2, 3, 7, 17, 23, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w**4 + w - 2*w**3 - 6*w**4 + w**4 + 2771*w**2 - 2734*w**2 - 2 to the form p*w + c*w**4 + b*w**3 + f + o*w**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3016, 5826, 8636, 11446, 14256, 17066?\n\"Answer: 2810*h + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -0.50257323966.\nAnswer: 3.49742676034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68221 is divided by 2267?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (35*z + 6 - 18*z - 23*z)*(-4 - 1 + 2)*(6 + 1 - 2) in the form w + b*z and give w.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*d = -25, w + 30 - 10 = 4*d. Let v = 1 - w. Let s(t) be the first derivative of t + 1. Let x(m) = -2*m - 3. Calculate v*x(f) + 2*s(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34958 and 329?\nAnswer: 1643026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*b = -25, -i = -2*b - 13 + 3. Which is smaller: -2\/37 or i?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 6) in base 12?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117 + (37 - 0 - 71) + (0 - -1 - 9)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*h - 226*h = -12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44418.\nAnswer: 2, 3, 11, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1007963913 to the nearest integer?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 357 + 5268*h**3 - 5*h**2 - 357.\nAnswer: 5268*h**3 - 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3520129334.40000199 - 3520128859.4. Let f = -475 + w. Round f to 7 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = 78*x - 123*x. Solve -4 = -4*b - o - 4*o, 0 = x*b - o - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4501.520651 to the nearest ten.\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 25\/2*368\/115. Suppose -3*f = -5*d + 23 + 31, p = 4*d - 4*f. Suppose 77 = 2*m + 9*m. Solve 3*b - m*b - d = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 55*u**2 - 13*u - 9. Let n(g) = -14*g**2 + 3*g + 2. Let c be ((-6)\/30)\/(24\/40) - (-84)\/9. What is c*n(b) + 2*v(b)?\nAnswer: -16*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 526.9052ns?\nAnswer: 0.0005269052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -33217*r - 177. Let o be x(-15). Let p = -7078 + o. Round p to the nearest ten thousand.\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -63 - -65. Suppose z*c = 5*n - 5 - 25, n = -c - 1. Solve 0 = f - n*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2275931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 8*z + 157. Let v(h) = 3*h**2. What is y(v(c))?\nAnswer: 24*c**2 + 157","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 7*u**3 + 7*u**2 - 7*u - 5. Let d(g) = 10*g**3 + 10*g**2 - 10*g - 8. Let a(y) = 5*d(y) - 7*f(y). Calculate a(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 12997712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 - (0 + (8 - 14)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*w**4 - 22*w**4 + 9*w**4 + 3*w - 31 + 502 as u*w + v*w**2 + s + o*w**4 + l*w**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 737039109 a multiple of 612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4\/3, 2\/7, 308, -4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.9328 to 1 decimal place.\nAnswer: -17.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3500)*5)\/(sqrt(448)*-3*3) + 3.\nAnswer: 3 + 25*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -207671*r**5 + 87165*r**2 + 2*r - 1 wrt r.\nAnswer: -12460260*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**4 - 89*s**3\/6 - 3*s**2 + 24. Let i be c(-4). Which is bigger: -3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, p: 2, q: 2}. Give prob of sequence ttqp.\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -919 + 1211. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -784*h + 770*h + 36820. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(304)).\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28\/(-36) + 4 + 8\/(-36). Suppose -68 = -4*l - 4*s, -2*s - b*s = -5. Solve l*h - 11*h = -15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*k**5 - 4*k**3 + 404*k wrt k?\nAnswer: 200*k**3 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 4*p - 513 - 9*p - 349 + 3*p to z*p + s and give s.\nAnswer: -879","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g**3 - 8*g**2 - 14*g + 29. Let s be 8\/(-32) + 108\/(-16). Let r(d) = -2*d**3 - 5*d**2 - 10*d + 20. Let o(b) = s*r(b) + 5*n(b). Determine o(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 156 = -0*v. Suppose p - v = 14. Suppose 3*m = 5*l - 139, 2*l = -l - 4*m + p. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.97365 minutes in microseconds?\nAnswer: 838419000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322365881?\nAnswer: 139, 2319179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -160, -321, -482, -643, -804?\n\"Answer: -161*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*d**2 - 12*d**4 + 12*d**2 + 12*d**2 + 14*d**4 + d**3 - 3*d to the form r*d**4 + l*d**2 + n*d + g*d**3 + q and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-10))\/((-2660)\/(-301150)) + 6*2\/42?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 8:06 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 1. Let w(t) = -t + 8. Let u(c) = -6*s(c) + w(c). Let l be u(7). Suppose -8 = f + f, f - 8 = 3*a. Put a, -2, l in decreasing order.\nAnswer: -2, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -457 + 488. Suppose 0 = -5*o + 4566 - d. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 813595\/48 + -16949. Find the common denominator of p and (81\/240)\/(-39 - 10200\/(-260)).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-five halves of a kilometer?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*k + 222 = -w, 446 = 3*k + 3*w + 158 + 143 + 163 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7324985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 1251*f. Let o be s(2). Suppose 10524 = -u - 4*j, -u + 2*j = o + 8040. Let a = u + 50536. What is a rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*w = -15, -2*t + 10 = -2*w. Suppose 2*y - 7*y = -10. Solve 0 = y*k + t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*v = 18. Let b be v\/(-2) + 49\/7. Suppose 11 = -b*h + 5*h. Calculate the least common multiple of h and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g - 4. Let a be 1\/(-2)*(-22 - 2). Suppose 7*t - a = 3*t. Calculate the remainder when t is divided by w(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-325)\/225*-6)\/((-2)\/6)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3395*j**2 - 3392*j**2 + 10185*j**2 + 3*j**3 - 3398*j**2.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 3 + 0\/(-1). Let b(p) = -p + 1. Suppose 0 = -2*o + 3*m + 2 - 6, 2 = -o + 3*m. Let f be b(o). Solve -d - 10 = -4*t - 2*x, -3 = -f*x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -44. Let q = r - -17. Let t(s) = 2*s**2 + 7*s + 6. Is t(q) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5139892 rounded to the nearest 10000?\nAnswer: 5140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 13230.672319 to the nearest one hundred.\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -211 + 1897\/9. Find the common denominator of v and 9\/(-63) + 116\/(-21).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 200 and 1850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7, -2, -4, 0.8, -229063?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 241.99471 - 242. Round m to four decimal places.\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -11870230845 and -65055.\nAnswer: -11870295900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 14, u: 1}.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 10*s**2 + 6*s + 6. Determine n(-10).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/15*(-6690)\/927 + (-9 - 5 - -1)?\nAnswer: -1\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 11. Suppose o + f*i = i + 7, 7 = o - 2*i. What is the remainder when o is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70154 - 41253. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 3*j - 3. What are the prime factors of b(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 201*z**2 + 965*z + 2927. Determine g(196).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/770 and -73\/15.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 10 - 1) + 93 + -7 + -1\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 70?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5282\/1365 + 103\/39. Find the common denominator of a and (-2 - 1)\/((-15)\/70 - 30\/(-70)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1175 - -9b5?\nAnswer: -5a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1116*n**2*s**2 - 47*n**2*s + 2*n**2 - 16*n*s**2 + 12*n + 4*s wrt s?\nAnswer: 2232*n**2 - 32*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x**3 + 873538*x**2 - 873538*x**2.\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -5. Suppose -f + p = 2*p + 7, 3*f - g*p = -1. Let l = f - -5. Solve -5*v - 5*b = -35, 0 = -2*v - l*b - 2*b + 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.49 - -7.89. Round v to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (8 + 105\/(-14))\/(1\/454)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -12*z. Let h(j) = 5*j**2. Give a(h(d)).\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (104\/24 + -1)*6\/(-5). Put 209, o, -1 in increasing order.\nAnswer: o, -1, 209","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 26*r**2 - 23*r**2 + 2 - 2. Let z(b) = 2*b + 15. What is l(z(m))?\nAnswer: 12*m**2 + 180*m + 675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000301267073 to seven decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 290 + 70 = 0. Calculate the highest common factor of h and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 - a38?\nAnswer: -a26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -6*f**2 - 22*f + 21. Let w(p) = -6*p**2 - 24*p + 21. Let m(r) = -11*h(r) + 10*w(r). Suppose -2*n - n = -15. What are the prime factors of m(n)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 12 = -4*o - 5*i, 4*i + 2 = o. Let c = o - -7. What is the least common multiple of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20, 4, 76, 220, 460, 820, 1324?\n\"Answer: 4*k**3 - 4*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = 4*c. Let y(r) = -4. Let j(d) = 1. Let i(g) = 24*j(g) + 5*y(g). Let l(u) = u + 9. Let h(q) = -5*i(q) + 2*l(q). Give h(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.1345441 nanoseconds in days?\nAnswer: 0.00000000000005942759375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 162081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, h: 2, u: 3, m: 3, f: 2}. What is prob of sequence um?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -108*b**5 + 47847*b**4 - 6983145*b**3 + 343434087*b**2 - 896640447*b - 216289890 = 0.\nAnswer: -2\/9, 3, 127, 745\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3781?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 517885.59659 and 18?\nAnswer: 517867.59659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 0.3, -26906 in decreasing order.\nAnswer: 5\/2, 0.3, -26906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 + -319)*(0\/(-3) - 2). Suppose 265 = 9*x - u. Suppose x + 13 = g. What is the greatest common divisor of 28 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*r = -8, -3*r - 11 = v + r. Suppose -v*f - 3 = -13. Solve -7*d = -f*d - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353 + 1055 - 318*v - 353 - 370.\nAnswer: -318*v - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3047 smaller than 3\/695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 3\/2, -0.221, 264, 0.2?\nAnswer: -0.221","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in 0.2, -3720\/89, -0.3, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1191138014 rounded to the nearest ten thousand?\nAnswer: 1191140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*o = -9690, 3*o = -5*z + 2*o + 24209. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24251?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 1 = 5*m + 6*f, -5*f - 20 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000073772 rounded to seven dps?\nAnswer: 0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 46, 98, 170, 262, 374, 506?\nAnswer: 658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -407 - -514. Suppose 12*r = 6143 - n. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/13)\/((v\/(v**1\/v))\/v))**48 assuming v is positive.\nAnswer: v**(192\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 1:58 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 6 + 1)*(-6 + 1 + 2*m + 2) + 0*m - 3*m + 0*m + 2 - 2 - m + (-3 + 6 - 1)*(3*m - 3*m + m) + 3*m - 2*m - 3*m.\nAnswer: -6*m + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s. Let q(g) = 635*g - 60. Let r(h) = -127*h + 11. Let x(w) = 2*q(w) + 11*r(w). Determine n(x(k)).\nAnswer: 127*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - sqrt(144)\/sqrt(3) - ((-1*sqrt(192) - sqrt(192)) + sqrt(192)))\/((sqrt(4) - (sqrt(48)\/sqrt(2))\/sqrt(6)) + sqrt(176)\/sqrt(11)) + 2)**2.\nAnswer: 6*sqrt(3) + 43\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*t - 45*d, -3*t = 2*d + 805 - 793 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-1)\/(-3)*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 3, -3*u - v - 13 = -u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-411) + 38612\/(-114121)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from zyyy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -4*n**5 + 188*n**4 - 1584*n**3 - 14336*n**2 - 32000*n - 22464 = 0.\nAnswer: -2, 26, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 6:30 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*j - 74 = 4*n, 2*n = j - 42. Let a be (-1)\/12*(-30)\/n. Put -0.15, a, 1 in descending order.\nAnswer: 1, a, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.17 + 4.67. Let g = 1108\/77 + -102\/7. Which is the smallest value? (a) x (b) 0 (c) -0.01 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 111\/106 + -29\/53. Which is the closest to 10? (a) -0.7 (b) 4\/7 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 - 37. Let l be (15 - 3)\/y + 1. Suppose 3*g + 7 = 5*g + 3*j, -6 = -4*g + 2*j. Solve -g*c + c - 15 = 3*n, 5*n + 11 = l*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2990 - -5667. Suppose -f = -14*s + 2545. What are the prime factors of s?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 1)*(-1)\/7. Suppose 0 = i - 3*g + 9, -2*i = -7*i + g - 3. Which is the second biggest value? (a) t (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**3 - 3*o**2 - 70*o + 13. Is j(13) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qoooooqqoqoqqooooo. Give prob of sequence qooq.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1036\/(-4921)*(-76)\/(-2824).\nAnswer: -2\/353","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1\/25)\/n*n)\/n)**(-19\/4))**(2\/23) assuming n is positive.\nAnswer: n**(247\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 - 2*k**4)*(0 + 6 + 17 + 12).\nAnswer: -70*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 232, -6\/11, 22?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9216 divided by -6?\nAnswer: -1536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1650 and 1200?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.237179 + 0.237. What is m rounded to 5 decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2394083581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 42, 14, -38, -114, -214, -338, -486?\n\"Answer: -12*s**2 + 8*s + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128 + -22 + -88 + 1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.0864 to 2 decimal places.\nAnswer: -4.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51)*-1)\/sqrt(3) - -4*(-3*sqrt(17) - sqrt(17) - sqrt(17)))**2 + (((sqrt(119)*2 + sqrt(119))*-5)\/(sqrt(21)\/sqrt(12)))**2.\nAnswer: 22797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, u: 8, e: 3, i: 2, p: 1, g: 1}. Give prob of sequence ei.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**6\/480 - d**5\/240 - 5*d**2\/2 - 6*d. Let y(i) be the first derivative of g(i). Find k, given that y(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 740 and 999?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7.81*13936\nAnswer: -108840.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102 + 6 - (68 + -45) - (3 + 0 + -11)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + h - 1. Let f(q) = 4*q**2 + 11*q - 1. Let j(m) = -f(m) + 3*s(m). Calculate j(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3 + 3 + r - 6. Let b(y) = -y**2 + 3*y + 2. Let l be b(3). Let h(d) = 7*d - 13*d + l*d. Calculate q(h(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -5, -118\/25, -50?\nAnswer: -118\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97097 is divided by 95632.\nAnswer: 1465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -617?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*b = -64*b + 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6287976 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -43. Suppose w*y - 1 - 5 = 2*m, -3*m + 3 = 0. Differentiate 2*t**y - 19 + 0*t**2 - 7*t**2 wrt t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -5*d + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 10, -6*r + 2*j = -4*r - 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*h - 280 = 0. Suppose 0 = -19*f + 506 - 430. What is the remainder when ((-18)\/7)\/(15\/h) is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*z - 106*z**2 - 15368*z**3 - 110*z**2 + 9*z - 12 + 3*z**4 + 15368*z**3 wrt z?\nAnswer: 36*z**2 - 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*q - 44*q - 959 + 959.\nAnswer: -85*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304535023 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w + 15*w + 16*w + 6*w - 11*w - 114*w.\nAnswer: -97*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -5 (c) 8 (d) 20 (e) 0.02 (f) 12\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 4*p**5\/15 - 7*p**4\/12 + 4*p**3 - 123*p**2. What is the lowest common multiple of 12 and a(2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 3*a = 2*k - 34621, 11512 = a - 5*k. What are the prime factors of a?\nAnswer: 83, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*u**3 - 497804*u**2 - 15124120*u - 5970000 = 0. What is u?\nAnswer: -49750, -30, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 780.1936 meters?\nAnswer: 0.7801936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -0*l - 8176. Let z = -9807 - l. Is 2\/9 - z\/63 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 + -62. What is the smallest common multiple of w and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, i: 4, x: 1, p: 4}. Give prob of picking 1 q, 1 i, and 1 p.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 21 = -13. Solve 0*n + z*n = -4*v + 2, v = -3*n + 13 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a*d**2 - 297*a*d*o + 9*d**2*o**3 + 932*d**2 - 2*o**3 wrt d?\nAnswer: 2*a + 18*o**3 + 1864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*r + 30492 = 0, 25*f - 20*f + r = 50798. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + (-5 + sqrt(108)*-1 + (sqrt(108) - (3 + -1 + sqrt(108) + sqrt(108))))*6 + -5.\nAnswer: -72*sqrt(3) - 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3771)\/18*(0 + -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from ttwhchcczhuutw.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1128770739?\nAnswer: 3, 125418971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 2.0689?\nAnswer: -1.7689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-2)*2552\/56. Let w = a + 137. What is the smallest value in 5, 0.4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200 divided by 182652.\nAnswer: -50\/45663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 4, 2\/15, -7, -2856?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(684)*4*-1 + (sqrt(684)*-2 - sqrt(684))*6 + 2*(sqrt(684) - (sqrt(684) - (sqrt(684) - 2*sqrt(684)))))**2*-5 + 0.\nAnswer: -54720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99*i**2 - 23*i**2 + 458*i**2 - 2 + 3 + 1 to k*i + p*i**2 + r and give p.\nAnswer: 534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from uxxux.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 5*j = -75, 303 = 2*u - 3*j + 338 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 16*r**2 + 2517692*r - 629424 = 0.\nAnswer: -157356, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 2:07 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8\/25 of a minute?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32\/3619 - -65431936\/47047. Let h = -1388 + n. Calculate the common denominator of h and (-261)\/8*(-1)\/3.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12014 is divided by 798.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19\/39 + -2\/13. Suppose 5*c = 2*c + v + 9, -2*v - 3 = -c. Suppose l**4 + 0 - 7\/3*l**c + 5\/3*l**2 - a*l = 0. Calculate l.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7597 + -7595. Let x(j) be the first derivative of -6*j + 35 - 3*j**v - 1\/2*j**3. Factor x(i).\nAnswer: -3*(i + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -53636 to the nearest one hundred.\nAnswer: -53600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 514810 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxyqxqqqbdtxxxb. What is prob of sequence bb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 15 = -2*c. Let a be (-21 - 3)\/c + -3. Suppose -15 = -5*w + 2*k + a, -2*w = 2*k - 8. Calculate the smallest common multiple of 22 and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1445, 5194, 11407, 20084, 31225, 44830, 60899?\nAnswer: 79432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -400937\nAnswer: -3\/400937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8 + -30)*9\/(-24) and 52\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -217, -393, -583, -793, -1029, -1297, -1603, -1953?\nAnswer: -2353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-25)*(-145)\/(-6235)\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -0.4, -74, 0.4, -1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 0.64307039721718.\nAnswer: 5.64307039721718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*q, 3*o + 7*q - 43*q + 18*q = 49*q + 15*q + 161 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*l**2 - 7 + 7)*(-64 + 4*l + 140 - 61).\nAnswer: -76*l**3 - 285*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/5 of a litre in millilitres?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*s*u**2 + 6423*s*u - 61876*s - 2*u**2 wrt u?\nAnswer: -4*s*u + 6423*s - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35637675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1230171 to the nearest integer?\nAnswer: 1109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + h + 5 - 1 = 0, -4*h = -5*p + 16. Suppose 4*i + n - 12 = 2*i, -3*n + 6 = p. Suppose 3*d = i*d - 68. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 7 + 5)*(1 - 6 + 4)*(5*y - 7*y**2 - 5*y).\nAnswer: -42*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/4 of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 71.403 and -0.01.\nAnswer: -0.71403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/14 - 297934\/49. Let y = n + 13880. What is y rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88443 a multiple of 581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 10:51 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045207854 divided by 58067103?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 287 + -259. Let b = 122 - i. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52*h**4 + 59*h**3 - 63*h**4 + 100*h**3 + 112*h**4 + 5625*h - 2325*h**2.\nAnswer: -3*h*(h - 25)**2*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26877150?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 955*(9 - (-602)\/(-70)) is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8275072250 to the power of 1\/2, to the nearest integer?\nAnswer: 90967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -231062, -2, 4, -3 in decreasing order.\nAnswer: 4, -2, -3, -5, -231062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 460 + -464. Let q be t*40\/32 - (-45)\/11. Is -1 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - 3*(-1)\/(-3). Put 2, d, 3 in increasing order.\nAnswer: d, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 607211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**3\/4 - 8475593*i**2\/2 - 71835676701649*i\/4 = 0. Calculate i.\nAnswer: -8475593, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 8:32 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 83298 or -1643?\nAnswer: 83298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4393*o - o**3 + 4393*o.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 a factor of 791840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**2 + 6*z. Let r = 11 + -5. Let x(m) = -3*m**2 + 5*m. Calculate r*x(n) - 5*f(n).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.08 from -10.95.\nAnswer: -10.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 8:51 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s**3 + 3. Suppose 13*w - 8*w = -5. Let f(y) = -y**3 - 1. Give w*z(n) - f(n).\nAnswer: -3*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 q, and 1 j when three letters picked without replacement from myymyyyqyojmyjxyyo?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 14*x - v - 7, 5*v = 5*x - 35. What is the nearest to 2 in -0.2, -6, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3835, -2446, -12915, -27572?\n\"Answer: -2094*v**2 + v + 5928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1243, 1236, 1255, 1318, 1443, 1648, 1951?\nAnswer: 2370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -98 + 28*a**2 + 98 + 12*a**2 + 15*a - 15*a + 4*a**2 - 3*a**2 - 2*a**2 - a**2 - 3*a**2 + 5*a**2 + (1 - 2 + 2)*(-a + 2*a**2 + a) + 2*a**2 + 4 - 4.\nAnswer: 44*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 245*o**5 + 2835*o**4 + 1560*o**3 + 220*o**2.\nAnswer: 5*o**2*(o + 11)*(7*o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3773958301.\nAnswer: 37, 101998873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1.2. Let q = -35 - -31. What is the nearest to g in -1, 5, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4158662, 4158661, 4158660, 4158659?\nAnswer: 4158658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t - 18. Let i be d(9). Let x be 110\/6 + (-4)\/(-6). Suppose -5*c - x = 2*r, 5*r + 5*c - 5 + 15 = 0. Solve -h = r - i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 3*u - 6, 4*o - 2262 = -5*u. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -371.2 >= -20877?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - -1. Let i(t) = t - 1. Let x(w) = 16*w - 2. Let d(o) = -5*i(o) + x(o). Let u(y) = -6*y - 2. Give j*u(g) + 4*d(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2504536 by -376.\nAnswer: -6661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8216 - -15456. What are the prime factors of s?\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*f + 15. Let s(l) = -14*l - 2. What is the tens digit of s(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*n - 8 = 0, n - 12 = -3*n. Let j be 1 + 4 - (g + (12 - 4)). Sort j, -29, -4 in decreasing order.\nAnswer: j, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 0.25416?\nAnswer: -5.25416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 157\/5 - 31. Which is the nearest to -2\/7? (a) -13 (b) n (c) 3\/7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8362, -8289, -8026, -7573, -6930, -6097?\nAnswer: -5074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**5\/120 + 5*z**4\/6 - z**3\/6 - 7*z**2\/2 - 198*z. Let f(h) be the second derivative of b(h). Give f(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/16 and 87\/150536.\nAnswer: 301072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffpfffpfff. What is prob of sequence fpff?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47*v**6 + 1189*v**4 - 5577*v**2 wrt v?\nAnswer: 5640*v**3 + 28536*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqq. Give prob of picking 2 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3900848851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**8*r)\/r**11*r\/r**6*(r*r\/(r*r\/r**0*r))\/r*r assuming r is positive.\nAnswer: r**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 118*w - 91*w - 135. Let p(s) be the second derivative of 0*s**w + 0*s**2 + 4*s - 1\/165*s**6 + 0 + 0*s**4 + 0*s**3. Factor p(g).\nAnswer: -2*g**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -790, -1593, -2396, -3199, -4002?\nAnswer: -4805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 23 = 4*r - 7, r - 3*q + 12 = 0. Let d(i) = 0*i - i - 2 + r*i + 2*i + i**3 - i**2. Give d(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 407 and 374?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2700?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*o - 1094367 = 0. Let j be (-2832156)\/(-44) + (-6)\/33. Let a = o + j. What is a rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a**2 - 14*a - 60. Let h(l) = -5*l**2 - 22*l - 90. Calculate -5*h(z) + 8*r(z).\nAnswer: z**2 - 2*z - 30","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -700 + 9071\/13. Calculate the common denominator of o and 13\/8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*a + 4328 = -57*a. Let h be 1 + 3 + a\/8. Let o = -133 - h. Does o = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-10) - 28\/(-70). What is the smallest value in y, 0, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 3*t - 3. Let x be n(-9). Let i = -1\/198 - -6241\/792. Calculate the common denominator of i and x\/24 + -1 + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 191650 and 8815900?\nAnswer: 8815900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72726911\/414 - 175669. Calculate the common denominator of -107\/60 and t.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2016 divide 117908759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 28*l - 102 = 0. Which is the closest to 2? (a) 4 (b) -4 (c) 1 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -11.576 and -2.\nAnswer: -13.576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5)\/z**13)**(-16) assuming z is positive.\nAnswer: z**288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 0 (c) 0.44 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d (base 14) to base 10.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c - 5. Let x be o(5). Let t be -3*((-4)\/6 - x). Find p such that -2*p**t - 4*p**5 - 2*p + 0*p**2 + 4*p**3 + 2*p**3 + 2*p**4 = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1499 = -4*m - 4*v + 109, -4*v = -2*m + 804. Suppose -5*i - c + 987 = -m, i = -3*c + 275. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -110341.92, 5, -0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 2*p + 18 = 0, 0 = 4*a - 5*p - 121 + 108 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.013, -240, -1.6 in ascending order.\nAnswer: -240, -1.6, 0.013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 366.13476 from 0.\nAnswer: -366.13476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 = -6*p + 41. Let l(u) = -2*u**2 + u - 12. Let x be l(-8). Let c = p - x. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 94\/30 - (-302)\/(-2265). Solve 0 = g - 3*c + 14, -38 + 48 = -5*g + i*c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z + 107 - 143 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkkk when four letters picked without replacement from {k: 12, j: 3}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.0571327 - 2.057. What is a rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157296105.\nAnswer: 3, 5, 3495469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379393.\nAnswer: 7, 83, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 34957*s. Let c(v) = -178*v**2 - 1. Determine c(d(b)).\nAnswer: -217514549122*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2063209849?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**3 - k**3 - 3*k**3 + (-3*k + 2*k + 3*k)*(2*k**2 - k**2 - 3*k**2) - 4*k**3 - k**3 + 4*k**3 + 19 - 19 - 22*k**3.\nAnswer: -31*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2858.891 - -2646.98. Let m = r - -212. Round m to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*x - 18*s + 84 = -54*x, 19 = 2*x + 3*s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - s + 2. Let x(c) = -c**2 - 9*c - 8. Let g be x(-8). Let o be u(g). Suppose 7*f - 2*f - 17 = -2*l, -4*f + 13 = l. Is o greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 2858019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 20 = -4. What is the smallest common multiple of (0 + (-1 - -5))*1 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14423330 (base 5) to base 9.\nAnswer: -255354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3077 - -845.71?\nAnswer: 843.4023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 5*b + 7*b + (0 + b + 0)*(-5 + 3 + 4))*(-2*b - 1 + 1).\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -415*n**5 - 1022*n**3 + 2134. Find the third derivative of i(m) wrt m.\nAnswer: -49800*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eybqzeqabbba. Give prob of picking 2 e and 1 q.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1418 - -2094. Let y = -676 + x. Is 0.093 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + -0.1. Let j = t - 0.2. Let a = j - -0.5. Sort a, -2, -0.4 in decreasing order.\nAnswer: a, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(660)*1)\/sqrt(12))\/sqrt(5) - (sqrt(1584)*-1 + (1*sqrt(110))\/sqrt(10)))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11664, 10801, 9936, 9069, 8200, 7329?\n\"Answer: -q**2 - 860*q + 12525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4565 divided by -5\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 1, -4, -5 in decreasing order.\nAnswer: 17, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9*25\/60)\/(3\/16). Let n = -20 + 21. Let k be (2\/6 - n)\/(8\/(-2640)). Calculate the highest common divisor of k and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 56 = 3*p - 2*y, y = p + 16. Let n be ((-9)\/p)\/((-5)\/(-40)). What is the highest common factor of 24 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8722 and 21707?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -1. Suppose -3*w + 27 = 4*a - 8, o = 3*a - 4*w + 5. Suppose -4*j = -20, -2*k + 2*j + 3*j = -65. Calculate the greatest common factor of a and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 365, -576, -2821, -6370, -11223, -17380?\nAnswer: -24841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a meter in millimeters?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -10*g. What is the units digit of (6 - g) + -2 - -37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 155 = -h - h, -4*h + n = -295. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**2 + 2*q**2 + 0*q**2 + (-q + 0*q - q)*(2*q - 3*q + 2*q) - 1 + 1 + q**2 - 2*q - q**2 + 2*q - q**2 - 2*q + 2*q - 3*q**2 + 2 - 2 + 3 + 3 - 1 - q**2.\nAnswer: -9*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2802061, -2801921, -2801781, -2801641, -2801501?\nAnswer: -2801361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 3*v + 6*v)*(-3*v - 4*v + 5*v) + 0*v**2 - 3*v**2 + 2*v**2 + 0 + 0 + 2*v**2 + 0*v**2 + 0*v**2 - 2*v**2 + 42*v**2 + 0 - 46*v**2 + 15.\nAnswer: -7*v**2 + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(114) + sqrt(114)*1)\/sqrt(6) + 5*(sqrt(19)*-1)**2.\nAnswer: 2*sqrt(19) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, -0.05, 3, -0.1, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 13 = -s, -67*a = s - 62*a - 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggigiggiig. Give prob of picking 1 i and 3 g.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1593368?\nAnswer: 2, 7, 37, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2206830 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 306 and 357.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjg when three letters picked without replacement from {g: 2, j: 1, b: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540*a - 1081*a = -538*a + 13*f + 238, f - 35 = -18*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 6 = 2*m, 3*m + 11 = 6*m + 4*c. Find the third derivative of 3*u**2 - 5*u**2 + u**m + 5*u**2 wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -327 + 332. Which is the third biggest value? (a) s (b) 0.1 (c) -0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 - q**2 + 3*q + 3. Let o(z) = -z**3 - 2*z**2 + 5*z + 4. Let h be o(-3). What is the least common multiple of 11 and w(h)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179803074 is divided by 1140.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2354.153099 - 2340.7531. Let w = 13.4 - y. What is w rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 9 + a**3 - 3 - 3*a + 8*a + 4*a**2. Let x be d(-3). Which is greater: -2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2. Let p(d) = -8709*d. What is a(p(o))?\nAnswer: 151693362*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 - 4.9. Suppose 0 = 49*i - 54*i + 15. Suppose 0 = i*n + 19 - 16. Which is the closest to -0.3? (a) h (b) -0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1642.8219 + -21.4519. Let t = -1607 + n. What is t rounded to one dp?\nAnswer: 14.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20913315 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**8\/q)\/q*q*q**(1\/5)*(q\/q**(-2\/5))**(-28)*((q\/(q\/q**(-7))*q)\/(q\/(q*q*q**8*q*q)))**(12\/17) assuming q is positive.\nAnswer: q**(-484\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450 = 5*j - 5*r, -2*r - 453 = -2*j - 3*j. Suppose 5*x = -3*h - 578, 2*h - 3*x + 269 + j = 0. Let w = -29 - h. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 560*d - 18*d - 106*d - 21406 = 158*d for d.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 197 = -5*f, -2 = f + 3. Let w = 1 - g. What is the greatest common divisor of 15 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3*sqrt(192).\nAnswer: -24*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(187)\/(-3*sqrt(11) + sqrt(11)))**2 + (0 + sqrt(425))**2 + ((-1*sqrt(1700) + sqrt(1700))*5 + 1)**2).\nAnswer: 8605\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-72))\/(4\/(-30))*1044\/(-2320)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2 = -2*y. Let p = 1 - y. Solve 3*o - 6 - 3 = p for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 246\/(-63) - (-2)\/(-3). Let y = m + 34\/7. Let i = -37 - -37. What is the nearest to -0.1 in y, i, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -444447 - 0?\nAnswer: -444447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1628 - -2408. What is x rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.949211 - 1.948. Round l to 5 dps.\nAnswer: 0.00121","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2302 and 53270?\nAnswer: 61313770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3472 and 19258?\nAnswer: 6686.3776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -5*d**2 - 955*d - 7320 = 0.\nAnswer: -183, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2848176728.\nAnswer: 2, 356022091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 1. Let s(t) = -t**3 - 92*t**2 - 173*t + 628. Let b be s(-90). Let g(w) = -8*w**2 - 11*w - 11. Calculate b*g(l) - 22*o(l).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.8 (c) 0.7 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1263.\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 15*g + 9 = 0. Suppose 2*y = g*u - 45, 2*u + 0*y = 2*y + 30. Calculate the remainder when u is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-91*19\/399)\/(5\/15))\/(2\/(-6))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**1)**(-2\/17))**9*t\/((t*t**(-3\/5)*t*t*t*t*t)\/t)*t*t**(2\/7)*(t**0)**(3\/22) assuming t is positive.\nAnswer: t**(-1888\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(1\/2 + 0). Let m = -1531\/2020 - -4\/505. Put m, n, -1\/3 in descending order.\nAnswer: -1\/3, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*(sqrt(363) - (-4*sqrt(363))**2).\nAnswer: -44*sqrt(3) + 23232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 4*p - 2*p)*(-4 + 1 + 5)*(5*p**2 - 3*p**2 - p**2) + (-3*p + 2*p + 0*p)*(-p**2 - 11*p**2 + 2*p**2).\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -152 + 167. Suppose -5*r = f, 4*a - r = 2*r + 185. Is 18 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-78) - 222\/(-78). Sort -3, z, -23, 4 in ascending order.\nAnswer: -23, -3, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3))**(-7\/11))**18*d**(-2)*d**8*((d*d*d*d*d**(-2\/5))\/d)\/((d\/d**(-6))\/d) assuming d is positive.\nAnswer: d**(2033\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -402 - -402.00000606. Round v to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pcscsspcccsccscps. What is prob of picking 2 c and 1 p?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 15*r + 36 - 37*r - 36 - 64*r. Let l(o) = o. Calculate k(l(d)).\nAnswer: -86*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2723\/(-8169))\/((-10)\/2)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1501 - -1497.7685. Round i to 1 decimal place.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36\/139? (a) -1 (b) -0.2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + 58. Calculate the greatest common factor of j and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*i - 3*c + 804 = 0, 9*c - 12 = i + 6*c for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 309 or 307?\nAnswer: 307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/28)\/((-10)\/(-16))*(-1029)\/294?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121303777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wh when two letters picked without replacement from {q: 1, w: 1, v: 1, h: 4, i: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1.4 (b) 3\/16 (c) -2.39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32002300.\nAnswer: 2, 5, 11, 47, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, k: 1, w: 2, u: 4}. What is prob of sequence waau?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 860 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -18628883.\nAnswer: -2\/18628883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, k: 1, i: 1}. Give prob of sequence xxik.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, -28, -86, -170, -286, -440, -638?\nAnswer: -886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 8:57 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 a when two letters picked without replacement from djadijbjaau?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -230 + 461 - 222 - 14*k + k**2. Calculate g(15).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 11*v**3 + 4*v**2 + 24*v + 29. Let u(d) = -15*d**3 - 5*d**2 - 27*d - 36. Let n(m) = -4*c(m) - 3*u(m). Determine n(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(-7)))**15 assuming t is positive.\nAnswer: t**(-105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -854, -1805, -2756, -3707?\nAnswer: -4658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 189104.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 8:48 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = 20*j - 956. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -845.\nAnswer: -9\/845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnuuncnntnncnttcutn. Give prob of picking 3 n.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1268192 and 4.\nAnswer: 1268192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 600\/7*d - 2000\/7 - 60\/7*d**2 + 2\/7*d**3 = 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21189*q - 21146*q + 1161 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21825*j + 4268*j + 2489*j.\nAnswer: 28582*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2305.\nAnswer: 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10\/7*p**2 - 1\/7*p**4 + 495\/7 + 276\/7*p - 12\/7*p**3 = 0 for p.\nAnswer: -11, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7883990.\nAnswer: 2, 5, 788399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -a9?\nAnswer: b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.88018312 rounded to one decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000000101001010 + -1000000111?\nAnswer: 100111111101000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/20492987 equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -5*h - 59 - 43, 5*h + 18*t + 82 = 0 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -361 divided by 6.\nAnswer: -361\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3934? (a) 0.3 (b) 0 (c) -0.07 (d) -1\/3 (e) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/312831?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 85987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1322341\/2 or 661172?\nAnswer: 1322341\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88 + -73. Let l(n) = -18*n - 2 + x*n - 3. Suppose 0 = -4*z - 16, 3*d + 2*z + 2*z + 31 = 0. Give l(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 9*v**2 - v - 12. Let g = -92 + 83. Let w be k(g). Which is the biggest value? (a) -12 (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3*42*(-91)\/17836.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 3*g - 351, 5*g - 10*g = 5*c - 440. Let z = c + 11. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13ed7 (base 15) to base 7.\nAnswer: -354613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 165614 bigger than 166037?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.5 (b) -0.4 (c) -12 (d) -7 (e) 0 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 3*b**5\/20 + b**4\/3 - b**3\/6 + 156*b. Let a(n) be the first derivative of n**3\/3 - n**2\/2 - 2. Calculate 3*a(s) - k(s).\nAnswer: -3*s**3 - s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 * 6.3\nAnswer: -0.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13541 - 29?\nAnswer: 13513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/16 in -490, -0.2, -6, 2\/3, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3*p + 4 + 8, p + 10 = -2*q. Let t be ((-13)\/(-39))\/(2\/p). What is the tens digit of ((-4)\/t)\/(-5*8\/(-1900))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2 - 11*j - 11. Suppose -5 = -4*i - 29. Let l(r) be the third derivative of r**5\/60 + r**4\/4 + r**3 - 3*r**2 - 4*r. What is i*f(t) - 11*l(t)?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 11*c**2 + 4*c**2 + 9*c**2 + c**2 - 3*c**2 + 0*c**2 + (2*c + 3 - 3)*(1 + 2*c - 1) to w*c + h*c**2 + l and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2\/4 + 20*r + 60.\nAnswer: 5*(r + 4)*(r + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 16*n + 877 = 13*n, 0 = -2*r + n + 1774. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**4\/4 - o**3 + 3*o**2\/2 + o + 1. Let c(f) = -3*f - 25. Let t be c(-7). Determine y(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2727235 (base 10) to base 13\nAnswer: -746464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 3, -3, 72?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*g**2 + 53*g**2 - 120*g**2.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 57 - -34?\nAnswer: 8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379112040?\nAnswer: 2, 3, 5, 1053089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -361598, -3, 3 in ascending order.\nAnswer: -361598, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 22. What is the remainder when 37 is divided by (-116)\/w + (-16)\/56?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 - 83. Let w = d - -51. Solve -w = 5*z, -5*p - 5*z - 29 - 6 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13313013 (base 4) in base 7?\nAnswer: -162606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6461496 divided by 126696.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + x + 5. Let i be t(0). Suppose -i*d - 6 = -41. Calculate the remainder when d is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31536.1 + 31692. Which is bigger: 0.6 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5 + 755*n**2 - 1881*n**2 + 1124*n**2 + 3*n. Let i(z) = -4*z**2 + 7*z + 10. Calculate -6*i(p) + 13*w(p).\nAnswer: -2*p**2 - 3*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from yzyooyoizizio.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 84 - 4*i - 23 + i + 2*i + 38 in the form l + k*i and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 28 and -18373 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwxftxwa. Give prob of picking 1 a, 1 x, and 2 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 424287.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25283915 to the power of 1\/2, to the nearest integer?\nAnswer: 5028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 901 divided by 23838\nAnswer: 901\/23838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17117708 divided by 68.\nAnswer: -251731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 + 10011?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g - 36. Give w(34).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2356 and 76?\nAnswer: 2356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**2 + 2. Determine w(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -636 + 1760. What are the prime factors of i?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 2*t**6\/5 - t**2 + 14*t + 10. Let l(w) be the first derivative of v(w). What is the first derivative of l(f) wrt f?\nAnswer: 48*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 3*c**2 - 4*c + 6. Let a be 3\/18 + (-118)\/(-12). Suppose 2*x + 4*m + 10 = 0, -3*m = 7*x - a*x + 30. What is the tens digit of r(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2667? (a) 550\/3 (b) 4\/5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 14*l = -393. Suppose l = 5*p - 4*m, 0 = 3*p - m - 29 - 51. What is the remainder when p is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -1270*j**7\/21 + j**4\/6 - 209*j**2 + 4*j + 211. Find the third derivative of k(r) wrt r.\nAnswer: -152400*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {w: 3, l: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.9 and -122.\nAnswer: -117.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 f, and 2 e when four letters picked without replacement from dexedfddxxxfefoe?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39*v**2 - 53*v + 35*v**2 + 30*v**2 + 3455 + 5*v - 109*v**2 with respect to v.\nAnswer: -10*v - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-20)\/(-3))\/(252\/189). Solve -v - 3*z = -4, b*v + 0*v - 4*z = 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3032346 (base 7) to base 8\nAnswer: -1301071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27684 is divided by 9210?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, l: 1, d: 2, f: 1}. Give prob of picking 1 l, 1 f, and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80*p**2*v**2 - 17*p**2 - 2*p - v**2 - 2421 wrt p.\nAnswer: -160*v**2 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 l when three letters picked without replacement from {f: 6, l: 4}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 40 = -83*h - 2*u, -2*h - 9 + 17 = u for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2, -21, -66, -149, -282, -477?\n\"Answer: -2*m**3 - m**2 - 2*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/((z\/z**8)\/z*z))\/z*z*z**25)**(-46))**(-3\/10) assuming z is positive.\nAnswer: z**(2277\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13243320304044 - 2?\nAnswer: -13243320304101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 5*c**2 - 3. Let p be t(5). Let q be (-1)\/p*0\/(-9). Solve -s + 4 = 5*a - 6, 5*s + 5*a - 30 = q for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011100010 + -101?\nAnswer: -10011100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 + 30208*d.\nAnswer: 4*d*(d + 7552)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkkddkdkdykdydd. What is prob of picking 2 d, 1 k, and 1 y?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17114302587341 - 1.\nAnswer: 17114302587340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 155.6 + -159.1. What is the second biggest value in -2\/13, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l**(2\/67))\/l*l*l)\/(((l\/((l\/l**(-2\/9))\/l))\/l)\/l)*l**(-8)\/(l**(1\/4)*l) assuming l is positive.\nAnswer: l**(-12055\/2412)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -29, 3\/4, 68.32?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161403028 is divided by 1046.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-10) + 80\/25. Solve 14*x**2 - 20*x**2 - 2*x**3 - 3*x**5 - x**4 - l*x**4 + 15*x**3 = 0 for x.\nAnswer: -3, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 8:32 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -43873 (base 12) to base 9\nAnswer: -145526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 97*o**8\/168 + 3*o**4\/2 + 40*o**2. Find the second derivative of r(n) wrt n.\nAnswer: 3880*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9 - (-7 + 8 + -10))\/1. Put 2, -5, 20, v, -19 in ascending order.\nAnswer: -19, -5, v, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 825 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-108)*(-4)\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6230*v + 7800*v + 29944*v + 33388*v.\nAnswer: 64902*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014358989 rounded to six decimal places?\nAnswer: -0.001436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z - 2. Let s(c) = c - 3. Let b(t) = 5*n(t) - 3*s(t). Let l(m) = -m + 1. Determine b(d) + 3*l(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 7:25 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -600*b + 605*b + 15. Let c(g) = -g**3 - 4*g**2 + 2*g + 2. What is c(b)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30.31 - 30. Let j = d + 0.09. Let a = -4.6 - j. Put -1, 2, a in ascending order.\nAnswer: a, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -163927.7986 to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 + -8544632?\nAnswer: -8544650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1680?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 122764676 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1471.4*-38.97.\nAnswer: -57340.458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n - 56. Let b(w) = 2*w - 26. Determine -7*b(p) + 3*r(p).\nAnswer: -2*p + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 b when three letters picked without replacement from {f: 9, b: 7, u: 2}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55190.88 centuries to millennia.\nAnswer: 5519.088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 260467809 to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1628 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*x**3 - 9\/2*x**2 + 5\/2*x**4 - 1\/2*x**5 + 0*x + 0.\nAnswer: -x**2*(x - 3)**2*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 117*p**3 - 3*p**2. Let v be m(-1). Calculate the remainder when ((-22)\/(-4))\/(1 + 115\/v) is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, b: 5}. What is 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: Calculate the highest common divisor of 169 and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, c: 5, i: 5, t: 1, d: 1}. What is prob of sequence id?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126836, 126823, 126796, 126755, 126700, 126631, 126548?\nAnswer: 126451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**3\/9 - 2*p**2\/9 - 10*p\/9 - 2\/3 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 376422 a multiple of 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -11*u**2 - 18. Calculate s(-4).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -68*o - 71 + 71 + 15*o. Let n = -12 - -14. Let h(y) = -157*y + 157*y - 2*y**n. Give w(h(t)).\nAnswer: 106*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 395 (base 13) to base 2.\nAnswer: 1001110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4*1*sqrt(475))**2 + -4 + 1*sqrt(475) + (0 + 6*(sqrt(475) + 1 + sqrt(475)))*1.\nAnswer: 65*sqrt(19) + 7604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -890 + 1276. Does 28 divide v - (-3 - -2) - (-7 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 35 = -0*h + h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -16, -28?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -1\/10*v**6 + 0*v**2 + v**4 + 2*v**3 - 3\/20*v**5 + 0 + 18*v. Find u such that q(u) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5 - 3059298*y**4\/5 + 46797071934*y**3 - 421165570894*y**2\/5 + 28077459984*y + 46795970592\/5 = 0.\nAnswer: -1\/5, 1, 152964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*s - 147*s - 3 - 147*s - 127*s + 550*s.\nAnswer: -s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5708\/8553 - 2\/2851. Sort -28, -2\/9, k, 0.1 in descending order.\nAnswer: k, 0.1, -2\/9, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 73*v**2 + 7*v + 59. Determine s(-73).\nAnswer: -452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 833397601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 270.19248 months in centuries?\nAnswer: 0.2251604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*p - 40 = -180. Let r(q) be the third derivative of 0 - 2\/15*q**4 + 0*q - 1\/75*q**p - 35*q**2 - 2\/5*q**3. Factor r(i).\nAnswer: -4*(i + 1)*(i + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0744351 rounded to 4 dps?\nAnswer: -0.0744","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 71556 and 20107236?\nAnswer: 20107236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 42*t. Let y(m) = 20 - 26 + 3*m**2 + 6. Give y(j(h)).\nAnswer: 5292*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.11 - 22. Let d = -201 + 805\/4. Let w = d - 3\/44. What is the closest to -1 in h, 2, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/1476 and -131\/5994.\nAnswer: 491508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -14824 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1008 + 1024. Calculate the remainder when 43 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 6635737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 2*i + 18, 0 = -y - 3*y - i + 9. Calculate the remainder when 9 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*d + 38*d = 16. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 6:42 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 140204 (base 5) in base 10?\nAnswer: 5679","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/3)\/(((-2983)\/228)\/(-157)))\/(2\/25)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-16)*d**2\/d*d*d**16*d*d*d*d**6 assuming d is positive.\nAnswer: d**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5523646398.\nAnswer: 2, 3, 920607733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -145157 + 1364*m + 145157 + 1 - m - 1 + (5 - 2 - 1)*(4*m - m - m) - 4*m + 4*m - m + 2*m - 2*m - m - 1 + 1 + 2*m.\nAnswer: 1367*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 8:23 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = 13*j + 78 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11540724?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u - 41. Give z(-8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -985*b**6\/6 + b**2 - 7*b + 863. Find the second derivative of v(s) wrt s.\nAnswer: -19700*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 263844 and 276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 974165?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 2)*(2 + 0 + 1) + 3 + 12 + 22)*(i - i - i).\nAnswer: -34*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 262 and -252 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 17*g**2 + 23*g + 46. What is h(16)?\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*6\/18)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 20eb?\nAnswer: 20e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 11*s + 9*s = -1, -h + s = -4. What is the greatest common factor of h and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(4) + sqrt(30))*-3)\/(-1*sqrt(30)\/sqrt(3)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2278.03 and -21.\nAnswer: 2257.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116\/464*(-8)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(77) - 1*sqrt(77)) - (sqrt(77) + -2*sqrt(77)*3))\/(sqrt(56)\/(sqrt(200)*-5)))**2.\nAnswer: 171875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 25. Suppose -j*z - 4 = 5*o, 0 = -5*z - 5*o - 3 + 13. Let s(b) = 2*b**2 + 5*b + 17. Let k be s(z). What is k rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*i + 53*i = 154. Solve 3*b = 4*u + i, u + 2*u + 20 = 4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352)*-3*3)\/sqrt(8))\/(-2*sqrt(36)*-5).\nAnswer: -3*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + 0.3. Let h = -16.7 + o. Let k be ((-2)\/(-6))\/(2\/(-4)). Which is the closest to 2? (a) k (b) h (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 + 10*t - 10*t + 3*t**4 + t**4 - 2*t**4 + (-5 + 1 + 3)*(-4*t**4 + 5 - 5) + 2*t**3 - 2*t**3 + 2*t**4.\nAnswer: 7*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 10. Let p be (-2)\/(-1 - (-7)\/9). Let u be f(p). What is the remainder when (u + -19)*(-2)\/6 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*g*u**4*x - 12*g*u**4 + 2*g*u**2*x + 3*g*u*x + 3*u**2*x + 10*u**2 wrt u?\nAnswer: 456*g*u*x - 288*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10775 is divided by 415?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (81*(-2)\/(-66) + -3)*-11. Let q(v) = v. Let k(z) = -3*z + 2. Determine u*q(l) + k(l).\nAnswer: 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -1)\/(6 + -5)*1. Suppose z - x = 15. List the prime factors of 24\/z + 1\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(2\/3)*l*l)**(-3))**11 assuming l is positive.\nAnswer: l**(-121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*x = -212403 + 212403 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1513842 divided by -2\nAnswer: -756921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*y = -6, 2*j - 42 = 4*y. Suppose -6*q = -7*q + j. Solve 5*i + 0 - q = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 5*q**2 + 2*q - 6. Let g be (15 + -1)\/(1 + 1). Let m = -2 + g. What is the units digit of k(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221811124?\nAnswer: 2, 55452781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -19649 (base 10) in base 3?\nAnswer: -222221202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 249363973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**5\/4 + 5*h**4\/12 + 12*h. Factor m(x).\nAnswer: -5*x**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*p - 2*p = 11, 1 = n + 5*p. Sort 149, n, -1 in increasing order.\nAnswer: n, -1, 149","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, -422, -1\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -544 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 987862 is divided by 26697.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -4\/3 (b) -39 (c) -3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8425720931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 136433, 272835, 409207, 545549?\n\"Answer: -15*g**2 + 136447*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 6 = -6*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5 + 2*r**2 + 8*r**3 - 1 - r - 7*r**3. Let c be a(-4). Let z = -22 - c. Which is greater: -4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -9. Which is the nearest to -1? (a) g (b) 0.2 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 11 + 3. Let z be ((-1)\/q)\/((-2)\/(-8)). Suppose z*x - 110 = -0*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1157 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 2:07 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3700)\/730 + (-36)\/(-9). Is u less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/2*((-24)\/20)\/(-6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*k - 282*k = 3*d - 54, 0 = 5*k - 4*d + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 430983857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 615 and 62935.\nAnswer: 188805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -14. Let l(n) = 5*n + 2. What is the remainder when 66 is divided by l(m)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4150)\/25)\/(14\/(-441))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 4*w - 756. Let x = -1884\/5 + w. Suppose 5*p - 81 = -71. Is x greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2\/9*k**2 + 8\/9*k + 2\/3 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24659972 and 6252?\nAnswer: 2084","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j**3 + 4*j**2 + 48*j - 1086. Calculate h(10).\nAnswer: 4794","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 0*p - 5 + 7*p**3 + 105791*p**2 - 105793*p**2 - 5*p. Let h(r) = -4*r**3 + r**2 + 3*r + 3. What is -5*h(u) - 3*y(u)?\nAnswer: -u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23745666 rounded to 4 decimal places?\nAnswer: -0.2375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1080757 and 44.\nAnswer: -47553308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1217 - 12*f + 1217 + 2*f - 6*f + 2*f - f + 1 - 1 + (3 - 6 + 1)*(-2*f + 0*f + 0*f))*(19 - 92 - 25).\nAnswer: 1078*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 14 = 7. Let p(k) be the second derivative of -k**3 - k**2\/2 - 7*k. Let g(y) = -13*y - 2. Calculate q*p(x) + 3*g(x).\nAnswer: 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 - 123\/2. Let t = 0.08 + -0.03. Which is the third biggest value? (a) d (b) -0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 336137 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -x**3 - 2*x**2 - 3*x - 14. Calculate r(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -11. What is the smallest value in -5, c, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 5*x - 3, 157*x - 158*x + 9 = -2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 100449810 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**3 + 8*t**3 - t**3 - 4*t**2 - 8*t**3 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**4\/24 + 25*w**3\/6 - 4*w**2. Let i be a(0). Let r = i - 8. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31033 (base 4) in base 5?\nAnswer: -11342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - 20. What is the remainder when 17 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23841*z**4 - 28*z - 78 wrt z?\nAnswer: 286092*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/216 and 127\/132.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32536?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c + 9*c - 814*c**2 - 523*c**3 - 10*c wrt c?\nAnswer: -3138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -16*m. Let o be 4*(-4)\/48*-9. Let d(y) = 15*y - 20. Let r(j) = 5*j - 6. Let u(w) = o*d(w) - 10*r(w). Determine h(u(s)).\nAnswer: 80*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, v: 1, i: 6, l: 2, h: 1}. Give prob of sequence hi.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 23, 32, 45, 62?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -44, -74?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-5 + 6) - (1 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 21*m - 4. Suppose -2*o - 9 = -5*o. Let t be p(o). Find the second derivative of 61*v - t*v - v**4 + 3*v**4 wrt v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2, -2*b = 2*t - 0*b - 28. Let u = 15 - t. Suppose -2*i + 8 = -2. Put u, i, -4 in ascending order.\nAnswer: -4, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 at least as big as 38817\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3300210 by -330021.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 23*h**2 + 42*h + 3. Let s be t(21). What is the greatest common divisor of s and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 3*n - 1. Calculate y(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3 (b) -20 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.3, 3 in ascending order.\nAnswer: -1, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 216.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -x + 1639*g - 311*g - 9284, 44 = 3*x + g + 3*g + 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -17 - ((2 - -12) + -18)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-945)\/210)\/((-3)\/(-8))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4 - 4744*b**3 - 38148*b**2 - 71640*b.\nAnswer: 4*b*(b - 1194)*(b + 3)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*j + 272 = 52. Put j, 5, -2, -169 in ascending order.\nAnswer: -169, -2, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -16481338 + -2 + 1 + 0\/(-40). Let v = 1501339 + b. What is v rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 1 + 7 = 3*q, -l = q - 2. Suppose 16034 - 1833 = 3*d - 5*i, 23627 = 5*d + q*i. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 7\/89 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + sqrt(78)\/sqrt(6)).\nAnswer: -3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 24*p**2 - 3*p - 2. Let o(u) = -75*u**2 + 10*u + 7. Let g(d) = 7*b(d) + 2*o(d). Let h(x) = -3*x. Determine h(g(s)).\nAnswer: -54*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 2, 2\/15, 340, -0.04 in decreasing order.\nAnswer: 340, 2, 3\/7, 2\/15, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 8 = 0, -t - a + 1 = -0*a. Does 23 divide (0 - t)\/(2\/46)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 838.9 - 839. Let g = 76\/7 + -10. Put g, -1, x in ascending order.\nAnswer: -1, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/7, 2\/29, -3\/2, -0.5?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 792, 1253, 2008, 3045, 4352, 5917?\nAnswer: 7728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12358081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 - 7130*m**2 - 2063020*m - 169509400.\nAnswer: -5*(m + 178)**2*(m + 1070)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/3 + 2318*b\/3 - 772.\nAnswer: -2*(b - 1158)*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 3:06 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79.5 - 80.5. Which is the third smallest value? (a) u (b) 1\/4 (c) 5 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 19301 and 0.2.\nAnswer: 19301.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 182 and 12.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 2*b**2 - 2*b + 1. Let x be (-1 + 2\/8)*4. Let m be j(x). Let c = 59 + m. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1967 is divided by 32?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5121, -19225 in ascending order.\nAnswer: -19225, -5121, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 19863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-1 - 36\/(-33)). Let t = 6 + o. Suppose -2*y + 3*p + 10 = 0, 11*p = 2*y + 7*p - 10. Sort y, -4, t in descending order.\nAnswer: y, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2324003.17484781045 - -0.16694781045. Let y = x - -2324164. Let r = y + -161. What is r rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 6109642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 t when two letters picked without replacement from {x: 3, t: 2, g: 2, q: 5, m: 3}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -46270*t. Let x(n) = -2*n**2. Give q(x(h)).\nAnswer: 92540*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -459 divided by -27.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooooooo. Give prob of picking 2 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 4, 1, -33.1, 1\/3, -0.0726?\nAnswer: -0.0726","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151011 divided by -8.\nAnswer: -151011\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 606 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 391 - 387. Let n be -1*u + (776\/(-16) - 3). Which is smaller: -57 or n?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/6*3\/5. Let v be (0 + 0)*3\/(-6). Let u = 2 + -1. What is the nearest to v in 2, u, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*m - 93*m = 84*m + 12 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1332 - 2?\nAnswer: -1334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*2*-5*((sqrt(80) + (0 + sqrt(80))*-3)**2 - (sqrt(80) + -1)*2)*-5.\nAnswer: -1600*sqrt(5) + 64400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1554938460?\nAnswer: 2, 3, 5, 23, 379, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*x - 2, 5*y - 34 = -3*x. Let s(w) = 4*w. Let q(p) = -p. Let i(o) = 16*o + 1. Let h(v) = -i(v) - 4*q(v). Let n(d) = y*s(d) + 3*h(d). What is n(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 12*b**2 + 5*b + 2. Let d be s(10). Let y = d - 185. Is 67 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/(-126)*((-6)\/(-56))\/((-468)\/192).\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/55 (b) 21\/67 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-12)*(-1)\/2. What is the biggest value in a, 2\/33, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, w: 1, l: 5, u: 1}. What is prob of sequence lu?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 801.1058 * -0.17.\nAnswer: -136.187986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323*n + 190 - 14144 = -41*n + 6914 for n.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 2118639.\nAnswer: 6355917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**2 - 7*n + 8. Let m be f(2). Suppose 3*i + 946 = 2*y, 4*y - 7*i = -m*i + 1892. Calculate the greatest common divisor of y and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 431663*63\nAnswer: 27194769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -1) + (-18)\/(-22). Let m(z) = -z**3 + 7*z**2 - 5*z - 5. Let a be m(6). Let p = 0.1 - -1.9. What is the biggest value in p, d, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -97 - 43. Let l = 24 - 3. Suppose 0*z = 3*z - l. Calculate the greatest common divisor of z and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 5) + 3 - (-1 + 4 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a minute in milliseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x = 10*x - 95, x + 458 = 5*a + 438 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43920.4 rounded to the nearest one thousand?\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*v + 391 = -287 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**4\/12 + 4*n**3\/3 - 9*n**2\/2 + 3*n. Let k be l(8). Calculate the common denominator of (k\/8)\/((-105)\/340) and -39\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/561 and 17\/771972.\nAnswer: 144358764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 374 = 171. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -122 + 87. Let c = -21 - v. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38583031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1853030415133 + -561156906674869007\/302832. Let z = -2\/18927 - w. Calculate the common denominator of z and 57\/104.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 - 46*q + 68. Calculate the lowest common multiple of v(-22) and 504.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-12) - (-152)\/(-32). Let a(k) = -4*k - 3. Let m be a(-2). Sort -4, x, m.\nAnswer: x, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 351208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - b + 0*b. Suppose 0 = 4*a + 36 - 108. Let i(t) = 18 - a + 2*t. What is i(y(j))?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/(-250))\/6*25?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00305 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 3*v - 2*v)*(0 + 3*v**2 + 0)*(-2*v + 0*v - v).\nAnswer: 36*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -166 * 8856.\nAnswer: -1470096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/2255?\nAnswer: -2\/2255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/15*5\/3. Let s be -3 + (-34)\/(-9) + -1. Let t be 1\/(-4) - (539\/44 - 13). Put t, s, p in decreasing order.\nAnswer: p, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 575 is divided by 152?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -2\/23, -4\/7, -1\/1103 in decreasing order.\nAnswer: -1\/1103, -2\/23, -1\/4, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*n - 12*n - 42 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/35*10\/(-6). Which is the nearest to 1? (a) -0.5 (b) 1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(10\/11)*n*n**(1\/4)\/n)**26 assuming n is positive.\nAnswer: n**(663\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 365*h**2 + 1586. Let k(f) = -2*f. Give g(k(r)).\nAnswer: -1460*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - 117. Which is smaller: z or -6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - x**2 - x + 3. Let o be (2\/10 + (-26)\/(-65))*10. Suppose -o*b - 26 = 58. Let v(h) = -2*h - 25. Let u be v(b). Calculate k(u).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**3 + 404*k**2 - 4928*k = 0 for k.\nAnswer: -112, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 + -92. Let g = s + 18. Suppose 3*a + g*k = 2*k + 11, 0 = -a + 5*k - 7. Solve -4 + a = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*4\/100)\/(1582\/(-846370)).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a kilometer in meters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 10*g**2 + 20*g - 88. Let z be l(9). Let d be ((-17)\/(-2))\/(1\/2). Suppose 3*i - d = -z. Solve -i*p = p - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134650 divided by -1\nAnswer: -134650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 15*p**2 - 3*p. Let u(a) = -a. Suppose 0 = -2*g - 5*k + 5 - 14, -g + 18 = -5*k. Determine g*u(i) - r(i).\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q**3 - q**2 + q - 1. Suppose -22 = -9*a - 13. Give f(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 14 + 19 - 7660*a.\nAnswer: -7660*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2334)\/(-18) - 15\/9. Let w = b - 82. What is the highest common factor of 23 and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p**(2\/5)*p)\/p*p))**(6\/11)*p**(-1\/9)\/p*p*p**(1\/3)*p)\/((p**(1\/5)*p\/(p*p**0*p))\/(p**(3\/4)\/(p*p**5))) assuming p is positive.\nAnswer: p**(-6823\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13651 is divided by 1276?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -4. Let t be 4\/12 + ((-4)\/6)\/2. Put 3, t, p in descending order.\nAnswer: 3, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 1444\/28601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 38383603 to the power of 1\/3, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -69*s - 11. Let v be q(-8). Suppose -23*k + v + 1115 = 0. What is the smallest common multiple of 18 and k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 11*j. Let r(x) = 106*x. Calculate r(n(m)).\nAnswer: 1166*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 15 = 5*r, -5*o - 91 = 2*r - 113. Let y = 8 + -7.7. Which is the nearest to r? (a) 3\/2 (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4067963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 288, 279, 270, 261, 252, 243?\n\"Answer: -9*n + 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 980541995 to the power of 1\/3, to the nearest integer?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57179 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/10 of a hour?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 145.237 + -145. Let p = d + -0.237194. Round p to five dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8062589?\nAnswer: 8062589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29462 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -15*p**4\/2 - p**3\/3 - 89*p - 277. Find the first derivative of m(u) wrt u.\nAnswer: -90*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6088, -6314, -6542, -6772?\n\"Answer: -c**2 - 223*c - 5864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppyppyppppp. What is prob of sequence ypp?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0.13 (c) 6313 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l = -97*l - 684. Sort 2, l, -3, -4, 0 in ascending order.\nAnswer: l, -4, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.9793368 weeks?\nAnswer: 9871.714944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/11 (b) -2\/9 (c) 127\/3 (d) -5\/24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.10006197 and 0.1?\nAnswer: 0.20006197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 13 = 2*i, -7*c + 4*c = -2*i - 29 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -75220425, -75220426, -75220427, -75220428, -75220429?\n\"Answer: -v - 75220424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 215826 times -1?\nAnswer: -215826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -53.\nAnswer: 5\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*u - f + 3*f, -2*u + 12 = 5*f. Let l = 0 - -5. Let n = -2 + l. Which is the closest to 1\/4? (a) -1 (b) n (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/28*1*30\/105*(-322)\/8.\nAnswer: -23\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - -15) + -22 + -22 - -57?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from kekkedddddkekddddkde?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -425b - 11d?\nAnswer: -437a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7*m + 4. Let p(u) = -6*u + 3. Let c(i) = 5*h(i) - 6*p(i). Let g be c(0). Suppose g*o - 26 = o. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - 1) + (-4)\/(-4). Suppose -2*x + 41 = 2*n + n, 23 = x + o*n. Suppose -2*a + 3*a = 0. Solve -3*u + x = 2*w - 0*u, -w + 5*u - 10 = a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.9*-35.\nAnswer: 101.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 79, 1433, -5 in decreasing order.\nAnswer: 1433, 79, 2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -454947.\nAnswer: -4\/454947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3340358 a multiple of 397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -20*d**7\/7 - 10*d**3\/3 + 24. Find the third derivative of f(n) wrt n.\nAnswer: -2400*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.551398mm in centimeters?\nAnswer: 0.8551398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (704 - 26*x**2 - 343 - 349)*(2*x**2 + 4*x**2 - 3*x**2) to the form m + o*x + n*x**2 + i*x**4 + b*x**3 and give i.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40434 + -1065?\nAnswer: 36336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -962*y**2. Let m(z) = 146*z**2. Calculate k(m(v)).\nAnswer: -20505992*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 10) to base 16.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*z - 35 + z**4 - 5 - 52*z + 19*z**3 - 16*z**3 + 97*z + z**2 in the form h*z**3 + k + f*z**4 + q*z + y*z**2 and give k.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*h - 4*h**2 - 5*h + (4*h**2 + 0*h**2 - 5*h**2)*(0 + 3 - 5))*(-5*h**2 + 0*h**2 + 2*h**2) as j*h**4 + b*h**3 + p*h + g + x*h**2 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*u**2 + 12*u**2 + u - 65*u**2 to z + j*u + r*u**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9660 - -9659.8. Let f be 9\/6*(-1)\/6. Which is the third biggest value? (a) f (b) 2\/19 (c) h (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-4))\/((-320)\/(-1000)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13392 and 2058338.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15679*j*l*z - 13*l*z + 2*l - 2*z + 2 wrt j?\nAnswer: 15679*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) + sqrt(14) + (-1*sqrt(154))\/sqrt(11))\/(sqrt(8)\/(2*sqrt(4)) + sqrt(2)))**2.\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8664 + -0.4?\nAnswer: 3.4664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 136 - 89. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4087536 divided by 93.\nAnswer: -43952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 38 - 40, 5*g = 4*u - 67 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (3 + -3 - 5) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 15*q**2 - 13*q + 9. Does 4 divide f(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67 and 24321.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 225970337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9461233, -9461306, -9461427, -9461596, -9461813?\n\"Answer: -24*l**2 - l - 9461208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26850.973 + -26815. Let c = y - 36. Let r = c - 1.973. Sort 4\/5, r, 1, 3\/7 in decreasing order.\nAnswer: 1, 4\/5, 3\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y + y - 4*y)*(-2 + 3 + 0) + 0*y + 0*y - 16*y + 15*y + 9*y - 10*y - 2 + 2 - 2*y + (5 + 1 - 5)*(-3*y + 0*y + 2*y) in the form q + p*y and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3199791 and 255?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16577753266 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 3)*(-10)\/6. Solve 0 = -2*v + 13 - l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 12:38 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/2 and (-5 + 1337\/63)*9\/24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w**3 - 7*w. Suppose 30*d = 33*d + 18. Let s(h) = h**3 + 2*h - 2*h - 3*h**3 - 3*h. Calculate d*x(o) + 14*s(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7184 + 21551\/3. What is the fourth smallest value in a, -3\/2, 1.38, -2, -5\/6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12311470 (base 8) to base 6.\nAnswer: -134222104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w**2 - 2*w + 2. Let u(d) be the second derivative of -5*d**4\/6 - 7*d**3\/6 + 7*d**2\/2 + 7*d. What is -7*a(r) + 2*u(r)?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 579\/7 + -83. Let z = -0.699 - -0.599. What is the nearest to z in 5, 0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**3 + 347432*p**2 - 346818*p - 106313580 = 0?\nAnswer: -17, 18, 173715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 2*o = -3*r + 16, -2*r + 3*o = -6 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r + 37344 = -16*r. Suppose -h = 15*h - r. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50706 - 50702. Let x = -10.2 - -10. What is the nearest to -0.1 in x, 0.2, 8, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -37*p + 795. What is the least common multiple of k(-10) and 5?\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**2 + 13552702*d - 45918932875201 = 0?\nAnswer: 6776351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 613*w**2 - 198 wrt w.\nAnswer: 1226*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -22. Suppose 3*u - 4 = -4*i + 11, 6 = 3*i - 3*u. What is the remainder when (-6)\/9 - (-134)\/i is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*p - 122*p + 57*p.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c + 14*c - 1 - 9*c. Let j(p) = -p. Let q be j(-4). Let d(y) = y**2 + 3*y + 3. Calculate q*d(z) + 12*w(z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-232)\/986)\/(1 + 1).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 598734 and 113274.\nAnswer: 4191138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2113001111 + -1?\nAnswer: -2113001112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*a + 2 = 0. What is the remainder when (-21)\/(-6) + 6\/4 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - p. Let b = -6 + 8. Let x be c(b). Suppose 0 = -2*h + 4*h. Is h > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 944106240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 82934353*a**2. Let h(b) = b**2. Give k(h(g)).\nAnswer: 82934353*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 1 = 2*v - s, -2*v + 3*s - 3 = 0. Suppose 13*k + v = 6. Solve k*j + j + 4 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*i + 11*i = -17*i + 750 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29085.54 meters to millimeters.\nAnswer: 29085540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/157 and 65\/299992.\nAnswer: 47098744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -5*i - 81. Let h = i - -24. Put 4, h, 4\/5 in descending order.\nAnswer: 4, h, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -714028\/771 or -925?\nAnswer: -925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*n + 2*b, -16433 + 16458 = 4*n + b for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -6, 27\/13, 0.3, 13, 1\/5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 6:58 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 898885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1067 - 151?\nAnswer: -11b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -207 - -12\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*r + 5*r. Suppose 5*w + 5*p + 10 = 0, -w = 4*w - p - 20. Find the first derivative of -4*q**w - r + 3 + 5*q**3 wrt q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**4 - q**4 + 2*q**4 + (-4*q**2 - 3*q**2 + 2*q**2)*(4*q**2 - 2*q**2 - 4*q**2).\nAnswer: 7*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -242*o**4\/13 + 11687170*o**3\/13 + 396588736*o**2\/13 - 443073624*o\/13 + 121786560\/13 = 0. What is o?\nAnswer: -35, 6\/11, 48328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, i: 3, b: 2}. Give prob of sequence ib.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*x - 8*x = 132 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-8)*p*p**(-8\/3)\/p*p*p**12*p\/p**11)**(11\/4) assuming p is positive.\nAnswer: p**(-253\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -722 and -57.\nAnswer: 41154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z + 15*z - z + (z - 4*z + z)*(2 + 6 - 4))*(2*z**2 + 2*z**2 - 5*z**2).\nAnswer: -13*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-9)*z)\/((z\/(z\/((z\/(z\/z**(-15)))\/z*z)))\/z)*z**(-2\/11)*z**(-1\/8))**49 assuming z is positive.\nAnswer: z**(41797\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -43199 (b) 4 (c) -9 (d) -8 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*(m\/(m*m*m**(-2\/5))*m)\/m*m*m**(2\/15))**9)**(3\/10))**37 assuming m is positive.\nAnswer: m**(7659\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 - 91 - 2*x**3 + 91.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.552, 3\/7, -0.02 in increasing order.\nAnswer: -0.02, 3\/7, 2.552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48304 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/234976 and -53\/16?\nAnswer: 234976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48709770 + -85099770. Round v to the nearest 1000000.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 55\/22*12\/5. Let j(q) = -q**2 + 5*q + 8. Give j(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 8*n + 72 = 0. Does 9 divide (-42)\/(-12)*n*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 68 = 2*f + 2, o = 4*f + 3. Calculate the remainder when 27 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/((30\/4)\/(-5)). Let r = c + 14. Which is greater: r or 7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**6\/144 + n**4\/24 + 4*n**2. Let v(r) be the second derivative of u(r). Let x(q) = 2*q**2. Calculate x(v(f)).\nAnswer: 50*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (7 + -3) - (-8 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15221*a**3*d - 247106*a**3 wrt d.\nAnswer: 15221*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - s + 2. Let y be g(0). Suppose 5*x + 5*z = 5, -4*z - 16 = -4*x + 20. Calculate the highest common factor of y and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -83839369 and 373?\nAnswer: 83839742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-48 - -94 - 28 - 43).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -225134 (base 7) to base 4\nAnswer: -21310031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 351*q + 2960*q**2 - 350*q + 897*q**2 in the form r*q + t*q**2 + j and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1460 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 9*r - 7*r + 2218, 5*h - 4*r - 3694 = 0. Let g = 14 + -8. Suppose g*t - h = -28. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/84014 and 65\/252042.\nAnswer: 252042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 178 + -164. Suppose -101 = -23*n + k. Let i = 8 - 5. Solve -2*a + i*r - 15 = a, -r + n = -3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -3, -524 in ascending order.\nAnswer: -524, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 5*g**2 + 6. Calculate the remainder when 21 is divided by b(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a + 2*a - 2*a - 24*a**2.\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3448 (base 9) to base 6\nAnswer: -15455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, v: 2, p: 4}. What is prob of picking 2 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -6*n + 215. Suppose 0 = -3*x + 313 - n. What are the prime factors of x?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -228?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162415.\nAnswer: 5, 11, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(45)\/sqrt(3))\/(2*3*sqrt(3)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2279.1 - -2117. Let r = 170 + c. What is r rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/61 and -7\/233.\nAnswer: 14213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -887101a (base 11) to base 16\nAnswer: -ed7fbf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**4\/4 + 22*s**2. Let b(r) = 4*r**2. What is g(b(q))?\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -7134\nAnswer: 35670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 3. Let d be b(0). Let z be 1\/3*7\/((-175)\/(-30)). Suppose 16 = -3*c - c. What is the nearest to z in c, 0.3, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 7) + 5 + 7 + 6 + -26 + -2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - 126\/(-4))\/((-150)\/(-8)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 10*v - 120 = 5*g, 68 = -3*g + 4*v. Is -86\/3 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23 and -0.0088.\nAnswer: 0.2024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 1:37 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 23226, 2 in descending order.\nAnswer: 23226, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtj when three letters picked without replacement from tjljttttttjjtjtttt?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 587077862.\nAnswer: 2, 7, 5381, 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.026096368 rounded to four dps?\nAnswer: 0.0261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*m - 81*m - 68*m = 56 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2023\/35 + 0 + (-8)\/10. Suppose -174 = 7*y + j. Let s be (10\/(-8) - -1)\/(11\/y). What is the second biggest value in -6, s, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 737129 divided by -6?\nAnswer: -737129\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13840 - 14704.1. Round z to the nearest ten.\nAnswer: -860","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2*w - 26, -3*l - 63 = w - 4*w. Let g be l\/120 - 30\/25. Which is smaller: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/((66\/4)\/((-8)\/((-608)\/(-57))))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a692a (base 12) to base 4.\nAnswer: 3223232302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - k**2 + (-3*k + 3*k + k)*(2*k + 3*k - 2*k) + (k - 2*k + 3*k)*(-2 + 2*k + 2))*(-2*k - 3 + 16*k - 9*k).\nAnswer: 30*k**3 - 18*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -831*r + 23718 = -5004 - 3687 for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*((-18)\/(-8))\/3. Let c(f) = 8*f**2 - 4 + 9*f**3 - 5*f**3 - 2*f**3 - 3*f**3 - 13*f. Let l be c(5). Solve -3*i = x, -3*b = -l*b + 4*i - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z + 22*z**2 + 54 - 54*z**2 - 8*z + 18*z**2 - z**3. List the prime factors of a(-17).\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33682 + 33750.835. Let k = l - 69. Let f = k + 0.14. Round f to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 1) + -1 + (7 - -1). Suppose 0 = k*z - 345 - 267. 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 hundreds digit of 20451839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - 14. Suppose 12*x - b*x = -10. Solve 0 = -5*d + 3*v + 8, -8*d + 4*d - x*v = -2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**2 + 17*w - 6. Let n be l(5). Solve -12 = 2*m + n*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26 + 26 - 15*g**4 + 2*g**4 - 6*g**4 + 3*g**4 + (3 - 3 - g)*(2*g**3 - g**3 + g**3).\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00070869 rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -512*k + 523*k = 44. Suppose -4*c + 2*s = -1386, k*c = -s + 1727 - 356. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31378297, 5, 2 in ascending order.\nAnswer: -31378297, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 506*h - 105. Is n(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(15\/84)*(-78)\/156?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**3 + s**2 - 3*s - 2. What is the tens digit of r(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1821.\nAnswer: 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 + 0*j**2 - 47*j**3.\nAnswer: -47*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 737 is divided by 29?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.7? (a) -1\/4 (b) -10 (c) 0 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -y**6\/540 + y**5\/270 - y**2\/2 - 2. Let c(o) be the second derivative of g(o). Factor c(j).\nAnswer: -2*j**2*(j - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2957341.\nAnswer: 61, 48481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456 is divided by 39?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5040 and 96?\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2 + 5 + g**2.\nAnswer: g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -40*n - 207. Suppose 0 = l - 2*d + 2 + 8, 0 = -2*l + d - 17. Calculate the remainder when s(l) is divided by 31.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35.3, 29, -3, 1, -4, 0.1 in ascending order.\nAnswer: -4, -3, 0.1, 1, 29, 35.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14, 4, -0.4, -3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -2, -94, -6 in descending order.\nAnswer: 1, -1, -2, -6, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d + 15. Let t be x(-14). Let g(z) be the first derivative of 5\/2*z**2 + t + 0*z. Let i(q) = q**2. Determine i(g(p)).\nAnswer: 25*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 43319, 43322, 43327, 43334, 43343, 43354, 43367?\n\"Answer: f**2 + 43318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -14*c - 7. Let z(y) = -9*y - 5. Give -5*x(m) + 7*z(m).\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r + 43 - 11. Solve r = -2*k - c, 3*c - c = -2*k - 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/19371 and -32\/18755.\nAnswer: 33027555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 445\/(-220) - 2\/(-1). Let s(j) = -j**2 + 5*j + 24. Let i be s(8). Which is smaller: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -446252321 + -45?\nAnswer: -446252366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8558424?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -20223.4 smaller than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1198 and -4.\nAnswer: -4792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -2, -1, 10, 37, 86, 163, 274?\nAnswer: 425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -13*l + 18989, 3*x - l + 18965 = 4*x. What are the prime factors of x?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-51))\/(1581\/(-89590)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + h)*(-1 - 1 + 1) - 5*h - h + 4*h)*((0 - 4 + 3)*(4 - 3 + 1) + 4 + 1 - 3 + 0 - 2 + 0)*(-2*h + 0*h + 0*h).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -8c7?\nAnswer: -8c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001367808193 rounded to six decimal places?\nAnswer: -0.001368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12012 and 280280?\nAnswer: 840840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**2*f**2 - 2589*c**2 + 6236*f**2 - 2*f wrt f?\nAnswer: 4*c**2 + 12472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 3. Let t = 13 + -8. Let q = -2 + t. What is the nearest to b in 1, -4, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -3*u + 24, -5*u + o + 65 = 7. Find the first derivative of 8*h - u + 3 - h wrt h.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37589*o + 37589*o - 4*o**3 + 3*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1815530 plus -0.06?\nAnswer: -1815530.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r - 3*r + 2 + 2*r + 1 - 2*r - 1 + (3 - 3 - r)*(-4 + 3 + 0) - r - 3*r + 2*r - r + 3 - 3 + r + 7*r + r.\nAnswer: 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**10*f*(f\/(f**(2\/11)\/f))\/f)\/(f**(-6\/7)*f*f**(6\/11)\/f) assuming f is positive.\nAnswer: f**(934\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45441 and 558.\nAnswer: 2817342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 952 and 1210958?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o**(-2\/7)\/o)\/o)*o*o)\/(o*(o*o**(-2\/7))\/o) assuming o is positive.\nAnswer: o**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 + -54. Suppose -4*n + 4 = -2*w, -r*n = -2*n - 5*w + 6. Let z = 2 - 9. Sort n, z, 1, 3.\nAnswer: z, 1, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3124 + -3124.7. Which is the closest to -0.019? (a) f (b) 0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*n = -98 - 7. What is the third derivative of -h**4 - 3*h**4 + 8*h**5 + 9*h**n - 10*h**5 + 43*h**2 wrt h?\nAnswer: 420*h**2 - 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1248\/(-65))\/16)\/(5\/(25\/(-4))).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*v**5 + 22*v**5 - 240*v**2 + 272*v**2 wrt v?\nAnswer: 1920*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 14, t: 1, w: 5}. What is prob of sequence ggg?\nAnswer: 91\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 2 - 1\/11*p**2 + 0*p + 0*p**3 + 1\/11*p**4 - 1\/33*p**6 + 0*p**5. What is x in l(x) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00295 minus -0.0536345?\nAnswer: 0.0506845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 18 = 4*y - 14, -u - 3*y + 8 = 0. Let k(m) = 2*m**2 + 3*m + 1. Calculate k(u).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 7 = -2*l, 3*l - 5 = -d + 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -273 + 266. Which is the third smallest value? (a) y (b) -4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4886 + 8656. Suppose 3*b + 2*l - 5948 = 0, -3*l = -2*b + 191 + x. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19.716 - 0.716. Let v be -3 + 3\/(-4 + 3). Let g = v + 7. Do l and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hlh when three letters picked without replacement from {l: 7, h: 4}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z**2 - z + 43. Determine i(-6).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 57499377 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 190788, 190806, 190824, 190842, 190860, 190878?\n\"Answer: 18*l + 190770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 149745.\nAnswer: -2\/149745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2 + 95*f + 276 = 0. Calculate f.\nAnswer: -92, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 96 + -96. Let x be -3*((-2)\/(-6) - -2). Which is the nearest to x? (a) -4 (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**6\/600 - z**5\/75 + z**4\/24 - z**3\/15 + 4*z**2. Determine y so that q(y) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/18 and 125\/5664.\nAnswer: 16992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28 + 28 + o - 1 + 1 + 2*o + (o - 9*o + 4*o)*(2 - 2 - 1).\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 4*i**2 - i + 2. Suppose 0 = -3*r + 391 - 82. Suppose -s - 2*q = -r, 375 = 3*s - 5*q + 77. Suppose 9 = s*u - 104*u. What is l(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - b - 8 + 69 = 0, 0 = -4*g + 4*b + 260. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u**5*y - 742644*u**3*y - 4862344*u*y wrt u?\nAnswer: 20*u**3*y - 4455864*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1067 and 262009?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5*r**2 - r + 2. Let d(f) = -20*f**2 - 2*f + 18*f**2 + 3 - 4*f**2. Determine -3*d(h) + 4*u(h).\nAnswer: -2*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-3)*3 - -2. Suppose l - m - 18 = 0. Suppose -7*b + 2*b = -l. Solve 0 = -b*t + 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 113 + -68. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 + 405*z**2 - 1242*z.\nAnswer: 3*z*(z - 3)*(z + 138)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00907 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 16672655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(2\/5))\/d)**22*d\/d**4*d\/(d*d*d**(-2)*d*d))**43 assuming d is positive.\nAnswer: d**(1032\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1797.81 rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**3 - 14*m**2 + 17. Let x(s) be the first derivative of s**4\/4 - 5*s**3\/3 + 6*s - 31. What is 6*r(n) - 17*x(n)?\nAnswer: -5*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/4 - 3414*i + 13653\/4.\nAnswer: 3*(i - 4551)*(i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 814328073 to the nearest integer?\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4230686*d**3 - 10643156*d**2?\nAnswer: -25384116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 34. Let i be (-18)\/k*(-10)\/3. Suppose -14 = -i*y + 1. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**5 + 256*a**4 - 11604*a**3 - 542168*a**2 - 6498910*a - 24756600 = 0.\nAnswer: -155, -11, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 40968, 40963, 40960, 40959, 40960, 40963, 40968?\n\"Answer: m**2 - 8*m + 40975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**1)**(-30\/7)*(n*n\/n**1)**(-2\/99)*n**(-6)\/n**(-1)*n**(1\/3)*(n\/(n**(-2\/3)\/n))\/n assuming n is positive.\nAnswer: n**(-8033\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 s when two letters picked without replacement from {i: 3, g: 1, s: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + y - 1 = -2*a, -2*y - 10 = -a. Let m be (a\/(-6))\/(2\/9). Suppose -60 = -2*v - 60. Which is smaller: v or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2904 and 3167824?\nAnswer: 104538192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*z - 0*z + 9, -2*u + 9 = 3*z. Let p(x) be the second derivative of 0 - 2\/3*x**z - 3*x + 0*x**2. Let i(g) = -g**2. Give p(i(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1466, 2918, 4370?\n\"Answer: 1452*q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -245882 (b) -1\/22 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1804366 is divided by 451082?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/3*9\/(-6). What is the closest to 0 in 0.5, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -1.207\nAnswer: 0.6035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 663 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -13*t**3 - 11*t**2 - 11*t + 11. Let r(l) = -7*l**3 - 6*l**2 - 6*l + 6. Let s = -21 + 46. Let p = -2 - s. Let v = p - -38. Give v*r(j) - 6*m(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 189258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 3 + (3 + 2 - 3)*(0 - 2 + 1))*(3*i + 6*i - 2*i)*(-120 + 562 + 171) to s*i + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) - (sqrt(1300) + sqrt(1300) + sqrt(1300)*2)) + -4 + (6*sqrt(208) - (sqrt(13) - (4 + sqrt(26)\/sqrt(2)))))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1188955*u**2 - 1188845*u + 110.\nAnswer: -5*(u + 1)*(237791*u - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3100502813.3 + 8.\nAnswer: -3100502805.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*u - c + 2505, -5*u + c + 6222 = 0. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wzw when three letters picked without replacement from zzwzwzzzwwzwzzwwzww.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 + -125. Let y = b + 73. Let p = -0.41 + 0.01. Sort p, -1\/2, y in decreasing order.\nAnswer: y, p, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 56, 6, -54, -130, -228, -354, -514?\n\"Answer: -m**3 + m**2 - 46*m + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 456ec (base 16) in base 2?\nAnswer: 1000101011011101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 72589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 4*o**2 - 2*o - 2. Let s be z(-3). Let q = s + -7. Let c be (9\/(-6))\/(q\/8). Put 4, -5, c in descending order.\nAnswer: 4, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1013 + -949)*5\/16160\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 345 = 3*i - 3*o, 3*i = o - 353. Let h = 227 + i. Let a(u) = -3*u**2 - 81*u + 37. Calculate the remainder when h is divided by a(-27).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -139111*o + 4451548. Calculate l(32).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25.8 - -28. Let l = b - 2.5. Is l smaller than -1\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 160 + -36. Let t = i + -105. What is the remainder when t is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 2*o**2 - 8. Let n be u(-4). Suppose -12*v + 116 + n = 0. Solve -4 - 4 = -4*m, -3*s + m = v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 + 8*p - 20. Let t(n) = -2*n**3 - 15*n**2 - 3*n + 22. Let a be t(-7). Let h be c(a). Solve 0 = 2*q - o + 1, -h*q + 4 + 19 = 3*o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*i - 294 + 294 + 4*i**2.\nAnswer: 4*i**2 + 74*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 280 and 65296?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 6111866382?\nAnswer: -6111866382.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24 and 76901.\nAnswer: -1845624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhhhhhnnhhhhhh. Give prob of picking 1 h and 1 n.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -5, 2, 0.2 in increasing order.\nAnswer: -24, -5, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 643 - 369. What is the hundreds digit of (2 - y\/(-5))\/(6\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 - ((17 - 31) + -2 - -5)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -124624 divided by 28?\nAnswer: -31156\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q - 16. Let n be t(-8). Suppose n = -2*y - 8*y. Solve y = -10*w + 7*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 5*t**4\/12 + t. What is the units digit of j(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -4) + (-22 - -2 - (118 - 139)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 2:16 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 6. Let j be n(-5). Let k(d) = -d**2 - d + 2. Let p be k(j). Factor -48 + p*s**3 - s**2 - s + 49 + s**3.\nAnswer: (s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1428496364, 2856992729, 4285489094, 5713985459, 7142481824, 8570978189?\nAnswer: 9999474554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**3 - 5*c**2 + 2*c + 3. Let w be z(3). Let d = w + 173. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.38*8066.\nAnswer: 124055.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 340360764 to the nearest integer?\nAnswer: 18449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.257 - 0.143. Sort 2, v, 1\/2, 1 in increasing order.\nAnswer: v, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4237 by 11.\nAnswer: 4237\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*b**4 + 14*b - 10*b - 4*b**5 + 4*b**5 - 14*b**3 + 2 - b - 501*b**2 + b**5 wrt b.\nAnswer: 60*b**2 + 288*b - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 24*i - 454. Suppose -i*h + 22*h - 91 = 0. What is the remainder when h is divided by 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r\/(r**(-2\/5)\/r*r))))\/(r*r\/r**(-2)*r*r*r))**(-26) assuming r is positive.\nAnswer: r**(728\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 7:54 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 605*r + 68 - 597*r + 65. Calculate w(-20).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 469906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f - 9. Let h be (24 + -14)*(-28)\/10. Let p = h + 37. What is the units digit of y(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x + 2. Let a(u) = -42*u**2. What is a(n(h))?\nAnswer: -42*h**2 + 168*h - 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + 38 - 72 + 32 + (-5 - 1 + 4)*(3 + v - 3).\nAnswer: -3*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 11)*(-4 - -5). Let z(k) = -9*k + 2. Let y(v) = 5*v - 1. Give w*y(t) - 6*z(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04 + 13.96. Let y = 74 - 88.1. Let v = i + y. Which is smaller: 5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine halves of a day in hours?\nAnswer: 948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/32 < 3\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15178 is divided by 9083.\nAnswer: 6095","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 111*w**2 + 141*w - 2669. Does 46 divide v(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-26) + 23214\/26. Suppose 3*l - 3*y + 1506 = 0, 2*y + 0*y - 2018 = 4*l. Let u = r - l. What is u rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -460789225, -460789221, -460789215, -460789207, -460789197, -460789185, -460789171?\n\"Answer: p**2 + p - 460789227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 929811 = 67*j - 503855. List the prime factors of j.\nAnswer: 2, 13, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4 = -12. Suppose -2*w = 5*y - 17, 5*y = -w - 0*w + l. What is the derivative of -g - 3 - y*g + 2*g wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a micrometer in nanometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001721 to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 240446 (base 8) in base 10?\nAnswer: 82214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxx when three letters picked without replacement from {x: 17, n: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 133379479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.26537 - 0.42155.\nAnswer: -6.68692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**7\/2520 - c**6\/360 - c**4\/24 - 5*c**2. Let n(l) be the second derivative of k(l). Factor n(x).\nAnswer: x*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18159789?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 - -45. Solve -5*j + 1 + i = x, 4*j = -4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 21*l**2 + 10*l - 424. What is the tens digit of z(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/384*1*-2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-129)\/1419 + 14852\/22. Calculate the highest common divisor of 150 and d.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 36\/4553?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r + 4. Let f be m(3). Let h = 42 + -39. Which is the closest to -1\/2? (a) f (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 91947315 and 15613695.\nAnswer: 827525835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21815274 divided by 39.\nAnswer: 559366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.4 + 7. Sort 2\/5, m, 0.5.\nAnswer: m, 2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.521947 rounded to 2 decimal places?\nAnswer: -28.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41548.74 nanoseconds to milliseconds.\nAnswer: 0.04154874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -14*g + 5840. Suppose g = 4*f + 2*n, n = -5*f - 0*f + 1463. Suppose -f - 592 = -5*z. Is z a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 16, 3\/7, 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7012 times -0.29?\nAnswer: -0.203348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(1440\/(-942)) + (-2)\/24 + (25 - -71).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2. Let x(s) = -52*s. What is x(h(j))?\nAnswer: -104*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/11, -282, -0.24, 0.4, 2\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-301 + 18*h + 301)*(2 + 1 - 1)*(-6 + 2 + 2) as l + y*h and give y.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3a (base 13) to base 16\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -320 - -335. Suppose 0 = -3*b - 4*l + 68563, -17 + o = -2*l. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/1462 and -53\/238.\nAnswer: 10234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a milligram in nanograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 4 - 4 - (-2 + 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/7 or 2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(560)\/sqrt(5))**2 + 2*sqrt(700) - (-3 + (2*sqrt(448) + -2)**2).\nAnswer: -1681 + 84*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 7:38 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34410 + 20?\nAnswer: 34430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-32)\/12*(1 + -7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56329 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8745 by 3.\nAnswer: -2915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -18 + 16\/56*63. Solve z - 2*m = -6*m + 1, l = -2*z + m + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 15, 3 in decreasing order.\nAnswer: 15, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 256\/143 + 20\/(-130). Let p = 101\/55 - n. Are 0 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-333))\/(((-45)\/(-225)*10\/(-12))\/3)\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 6*z + 4. Let q be a(-6). Suppose -q*g + 1117720 - 12517724 = -2*f, f = g + 5700001. What is f rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, m: 2, c: 2, t: 4, l: 3, r: 1}. Give prob of picking 1 l, 1 d, and 2 t.\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 12:19 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 80196259 a multiple of 2431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 8 = 4*y. Let d(s) = s - 7. Let m be d(y). Let q = m + 6. Solve -q*v + v + 8 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 399 - 396. Let j = -10 - q. Which is the third smallest value? (a) 2\/17 (b) j (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t. Let p be (372\/(-496))\/(-1*(-1)\/(-8)). Let x(j) be the third derivative of 0*j**3 + 0 + 0*j + 1\/12*j**4 - p*j**2. Give z(x(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 279973 and 2484904?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**2 + 28*p - 28*p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 50*z + 15. Let w(v) = -10*v - 3. Let b(k) = 2*f(k) + 11*w(k). Let c be b(-2). Let r be c\/4 - 4\/16. Solve 1 = -x + r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -n**5\/4 - 47*n**4\/42 - 26*n**3\/21 - 4*n**2\/7 - 30*n - 25. Let l(p) be the first derivative of r(p). Factor l(f).\nAnswer: -(f + 2)*(5*f + 2)*(7*f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1402.5 to the nearest ten.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (-4 - 2*-4). Let z = l + 12. Calculate the highest common factor of z and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*l**3*m**3*y + l**3*m**2*y + l**3*m + 83*l**2*m**3 with respect to y.\nAnswer: 21*l**3*m**3 + l**3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14701474.\nAnswer: 2, 139, 52883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4632*z**2 - 13844*z + 156.\nAnswer: -4*(z + 3)*(1158*z - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + (-3 + sqrt(567)*-3 + sqrt(567))**2 + -1*(sqrt(567) + sqrt(567)*-4) + 5.\nAnswer: 135*sqrt(7) + 2283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14\/(-8))\/(3\/36). Is d*(1 - 4) + 2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9556 + 29477. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126882800 rounded to the nearest 100000?\nAnswer: -126900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 3*s = -12, -2*h - s + 10 = -3*s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/((i**(-3\/2)*i)\/i))*i**(-1) assuming i is positive.\nAnswer: i**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/2*1\/20)\/1. Solve l*h**2 - 1\/4*h + 1\/8 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 47795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/26 + 20\/13. Let p = l - -1\/6. Which is the second biggest value? (a) -3 (b) p (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.1655 litres to millilitres.\nAnswer: 94165.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2 - 4865115*y - 19460476 = 0. What is y?\nAnswer: -4, 4865119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j - 73*u + 69*u - 16 = 0, 0 = j + 5*u + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 156 = 2*m. Suppose -m + 7 = -4*s. Let v = s - 4. Solve 2*u - v*d + 10 = 0, 3*u - 5*d = 2*u - 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/8 + 2160\/(-64). Let z = -33 - d. Which is the closest to 0.1? (a) z (b) -0.2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrpe. Give prob of sequence re.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -85 or -56.406?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-10))\/(514\/3855).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 4:46 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/10*20\/(-8). Let w be 3\/2 + 2\/u. Sort 5, 1, w in descending order.\nAnswer: 5, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*a + 33*a - 61*a in the form q + c*a and give c.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.6 + 2.6. Let t(x) = -3*x + 4. Let s be t(3). Which is the nearest to -1? (a) d (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 133 + -45. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -58, -115, -172?\n\"Answer: -57*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13535284199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 297650 to the nearest 10000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 + 141127625 + 141127633 - 282255227.\nAnswer: -2*s**2 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91494730 to the nearest integer?\nAnswer: 9565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -238*m**3 + 215*m**3 - 611*m**3 + (-2*m + 4*m - 3*m)*(2*m**2 - 3*m**2 + 2*m**2) as f*m**2 + p*m**3 + j*m + r and give p.\nAnswer: -635","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -b3d (base 16) in base 12?\nAnswer: -17b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + -6)*6\/4. Let c = f + 7. Let h(d) = -7*d - 4. Let z(s) = -s. Let p(l) = -h(l) + 6*z(l). Determine p(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -190? (a) -0.5 (b) 1\/316 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 13*y**3 + 13*y**2 - 13*y + 215. Let m(l) = -3*l**3 - 3*l**2 + 3*l - 54. Let n(w) = -2*b(w) - 9*m(w). Does 11 divide n(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 53536236 + 33?\nAnswer: 53536271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13030555 and 139.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/(l\/l**(1\/4))*l)*l)\/l*l)**34)**40 assuming l is positive.\nAnswer: l**1020","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/3 + 214*v**2 + 656*v\/3 - 1288.\nAnswer: -2*(v - 322)*(v - 2)*(v + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6 = -5*u. Let k(a) = a**2 - 2*a - 3. Let t be k(u). Factor 0*o + 2\/9*o**3 - 2\/9*o**4 + 0 + 2\/9*o**2 - 2\/9*o**t.\nAnswer: -2*o**2*(o - 1)*(o + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/2)\/(4\/8). Suppose -51 = -2*k - v. Suppose -5*o + 6 = -k. Solve -4*c + 4*y + 12 = 0, 4*c - 2*y + y - o = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1012313101 - 12?\nAnswer: 1012313034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -58*p**5\/5 - 26*p**3\/3 - 106. What is the third derivative of d(t) wrt t?\nAnswer: -1392*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 8*y**4 - 185*y**3 - 5*y - 175. Let f(g) = 13*g**4 - 278*g**3 - 8*g - 262. Let p(s) = 5*f(s) - 8*h(s). Differentiate p(i) with respect to i.\nAnswer: 4*i**3 + 270*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 11*s + 473. Determine g(-16).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/5, 154, 1\/10, -278, -2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3525 + 5685. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -3224243.\nAnswer: -7\/3224243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34335, -137232, -308693, -548724, -857331, -1234520, -1680297, -2194668?\nAnswer: -2777639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 203620 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45706 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/6)\/((-375)\/60)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -245920*d**2 - 35*d + 130. Let s be r(4). Let b be (-6884189)\/(-3) - (-3)\/9. Let u = b + s. Round u to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/12 and 125\/216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1766206138?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 256*b**2 - 2131*b?\nAnswer: 512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-8\/5))**(6\/11) assuming k is positive.\nAnswer: k**(78\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o - 5*o - 2*o + o to the form n + m*o and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12588049 and 137?\nAnswer: 12588186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146645?\nAnswer: 5, 139, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 400\/65 + 4\/(-26). Find the third derivative of q**6 + 7*q**2 + 10*q**x - 15*q**2 wrt q.\nAnswer: 1320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w**2 + 9*w. Let o(j) = -j**2. What is t(o(p))?\nAnswer: -4*p**4 - 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4279 - -7428. What is the remainder when g is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a + 12*a - 10*a - 8*a.\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70*l**3*v**2*y**2 + 3*l**3*v*y - l**2*y**2 - 23*v**2*y**2 - 9*v*y - 14*v + 7 wrt v?\nAnswer: -140*l**3*y**2 - 46*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from anmdxrxxrmrrmrr. Give prob of sequence dn.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + -2. Let x = -5.4 - d. Let v be (-1 + 1)*3\/(-3). Sort 5, v, x in decreasing order.\nAnswer: 5, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/277 + 293\/2216. Which is the third biggest value? (a) l (b) 3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/4 + 104*k + 412.\nAnswer: (k + 4)*(k + 412)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 659299297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 = -7*u + 527. Let v = -8 + u. Is v a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58977 - -97347. Let c = o - 25681. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131932*3.9.\nAnswer: -514534.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -s**4\/4 + s**3\/3 - s**2 - 3*s + 647. Let u = -1 - -1. Let t be a(u). Which is bigger: t or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w - 6 + 30. Solve -w*r = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2528842*n - 8090700 with respect to n.\nAnswer: 2528842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.7 - -1.2. Let i = 3 - g. Round i to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1256, 1258, 1260, 1262, 1264, 1266?\nAnswer: 1268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 10:58 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2 - 692*m - 27128. Determine o(-45).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 8*j - 4 - 2 + 2 + 3*j + (-2*j + 4 - 4)*(2 + 0 + 3) + 1 - 1 - 2*j + (0 + 0 + 2*j)*(-7 + 1 + 4) to the form v*j + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(315)\/sqrt(5).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 16*b + 19. Suppose 12 = -3*v + 9. Let h(k) = -10*k**2 + k + 1. Let c be h(v). What is the remainder when r(c) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 150*v - 145*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.04, 0.4, -339\/139, 6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4215808 and 58880.\nAnswer: 21079040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 9*u**2 - 4*u + 34. Give j(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -882 = -36*d + 29*d. Let n be 2\/(-7) + (897\/d - 7). Let f = 34 + -34.4. Sort n, 4, f in decreasing order.\nAnswer: 4, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*s = s - 20, -5*k = 5*s - 70. Suppose 0 = f + k + 15. Let d be (-6)\/15 - f\/40. What is the smallest value in -3, 4, d, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -656 = 146*z - 64*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -235311?\nAnswer: -235305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16403882 to three decimal places.\nAnswer: -0.164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*-1)\/((-7)\/(4 - -675)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b33c (base 13) in base 9?\nAnswer: -177405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**3 - 2*k**2 - 5*k + 7. Let x be c(5). Let r = 685362 + -685346. Calculate the highest common factor of r and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5198.\nAnswer: 2, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346 + 124 = 126*l + 109*l. What is the nearest to -2\/27 in -0.5, 10, -3, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 332.99999849 - 333. What is y rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 685170257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1035135 to the nearest integer?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -540 divided by 9?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2926?\nAnswer: 2, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b - 7621*b**2 + 0*b + 2*b + 7619*b**2 - 24*b**4 to v*b**4 + a*b + y*b**2 + o + c*b**3 and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -502 - -568. Suppose m = -d + 88. Solve -d = 4*n - 18 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -75.6 - -75. Suppose -5*b = 5*u + 15, 8*u - 12*u - 16 = 2*b. Put 4, b, 0.5, l in descending order.\nAnswer: 4, b, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 228\/128*((-100)\/9)\/(-5) and 14 + -15 - 126\/16?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39.477 + -34.477. Are -9.63 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*z + 28*z + 7*z + 0*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 + 134?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t + 5*f - 12 = 0, -2*f + 24 = 4*t. What is the remainder when 17 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3003.5 rounded to the nearest one hundred?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - -1 - (9 - 12). Suppose 3*x = 4*z - 780799997, m*z - 113030312 = -x + 472569689. Suppose y = 9*y - z. What is y rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -483, 4, -11, -39 in decreasing order.\nAnswer: 4, -11, -39, -483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z**2 - 18*z**2 + 4*z**2.\nAnswer: -26*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3 + 5*l + 8*l - 3*l + 7*l**2. Let q be t(-7). Suppose -x = 3*x - q. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wuuwuuuppfwuwuuvw. Give prob of picking 2 u.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 53258564 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11923645, 11923650, 11923655, 11923660, 11923665?\n\"Answer: 5*b + 11923640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 47709 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**3 + 11*w**2 - 26*w + 3. Let b be t(-7). Solve -43*l + 5 = -b*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x. Let l(u) = u**2 + 3*u. Let j(y) = -l(y) + 2*w(y). Let d(c) = 796*c - 2387*c - 8*c**2 + 796*c + 791*c. Give -d(k) + 6*j(k).\nAnswer: 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3916, 3918, 3922, 3928, 3936, 3946, 3958?\n\"Answer: s**2 - s + 3916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 3 + 5 - 2 - 64*j.\nAnswer: -64*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3014*i + 13440. Let d(l) = 3031*l - 13438. Let r(n) = -5*d(n) - 6*v(n). Differentiate r(z) wrt z.\nAnswer: 2929","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 16. Let r be q(0). Suppose 5*b - r*s - 193 = -13*s, b = 3*s + 29. Calculate the remainder when 409 is divided by b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 divided by -4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/11613?\nAnswer: -2\/11613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 189*t - 185*t - a, -t + 2*a = 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1047, 4216, 9499, 16896, 26407, 38032, 51771?\n\"Answer: 1057*t**2 - 2*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = u + 40. Solve -14*n + u = -50 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -89*a**2 + 146 - 587 + 1048 wrt a?\nAnswer: -178*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 487950 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1447980229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -14*g - 40. Let z be o(-8). Suppose 8*q + 8 = z. Find the third derivative of -2*j**5 - 21*j**3 - 1472 - q*j + 1472 + 2*j**2 wrt j.\nAnswer: -120*j**2 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 793584167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*d, -151*d + 147*d = -i + 22. Solve i*a = 7*a - 3*p + 6, 4*a + 3*p = -21 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.26091 to three dps.\nAnswer: -0.261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*r**2 + 0 - 47*r**2 + 5 - 3 - 2*r + 2*r**3 to j + t*r**2 + z*r**3 + p*r and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of d**3 - 2658*d. Let z(i) = 5*i + 5. Determine b(z(h)).\nAnswer: 30*h + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 + m - 1. Let b(p) = -91 - 88 - 93 + 369 - 96. Let z = 7 + -9. Give z*b(w) - s(w).\nAnswer: 2*w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/10 and 55\/245354?\nAnswer: 1226770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91880 and 126335?\nAnswer: 1010680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13b568 + -3?\nAnswer: -13b56b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 3, -5592, -3, 4, 1082 in decreasing order.\nAnswer: 1082, 4, 3, 1, -3, -5, -5592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 375 (base 13) to base 9\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 23.8. Let p = -1 + 0.7. Let l = -0.1 - p. Which is the closest to -0.1? (a) u (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 8*d + 330. Let z be 125 + -4 - (3 - 14). What is the highest common factor of d and z?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.8334 to 2 dps.\nAnswer: -10.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 7360.3666.\nAnswer: 7359.8666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 5 - 2*h)*(0 - 2*h + 0 + (0*h - 3*h + 5*h)*(-1 - 2 + 2) + 4 - 2*h - 4 + 4 + 4*h - 4) in the form v + g*h + x*h**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 184797 + -102346. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(4*sqrt(5)) - sqrt(300)*2) + (sqrt(15)\/(-2*sqrt(5)))**2 + 0 + -5.\nAnswer: -79*sqrt(3)\/4 - 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189317?\nAnswer: 31, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -t + 7. Suppose -5*x + 485 = 5*c, -4*x + 2*c + 502 - 102 = 0. Calculate the highest common divisor of x and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13, 84, 203, 370, 585, 848?\n\"Answer: 24*g**2 - g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -29*i**2 + 7593*i + 30844. What is m(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -22856 bigger than -68570\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23245 and -11.1.\nAnswer: 258019.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.21 + -7.21. Let x = 7.037 + l. What is x rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 2293, -3, -5.\nAnswer: -15, -5, -3, 2293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.85 - -0.15. Let d = -5 - z. What is the closest to -1 in 0.3, d, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 147102 and 17161900?\nAnswer: 51485700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -4119.1834 to 0 decimal places.\nAnswer: -4119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 4 + -112 + 128 - (1 + -3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 659207 != 659205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -233?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 126, 346, 800, 1566, 2722, 4346?\nAnswer: 6516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2259 + 2496. Which is greater: c or -86?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -7.1 and 200340795.\nAnswer: 200340787.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 9 = 5*v, q + q + 1 = -v. Which is bigger: -3\/5 or q?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-3) - (-14)\/(-6). Let s be 21\/21 - n\/(-4). Determine j, given that -s*j**3 + 1\/4 + 3\/4*j**2 - 3\/4*j = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -322719, -645380, -968051, -1290738, -1613447, -1936184, -2258955?\nAnswer: -2581766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88559257\/2397 + -221675\/6. What is the common denominator of x and -17\/18?\nAnswer: 14382","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41068 = c - 5*z + 41043, 4*c + z = 16 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**6\/360 - m**4\/24 + m**3\/3 + 2*m. Let z(q) be the second derivative of i(q). Differentiate z(v) with respect to v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 (base 16) in base 14?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1397034, -1397042, -1397050?\nAnswer: -1397058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2740 (base 8) to base 11.\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*v - 24 = 0, 21 = -5*v + 6. Let a(y) = y + 1. Let s be a(n). Suppose 0 = 3*d - s - 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 910, 1904, 3578, 5944, 9014?\nAnswer: 12800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*q - u + 4, -4*u = 16. Let s(k) = -k**2 - 11*k - 4. Let m be s(-10). What is the remainder when 34 + 9\/m*-2 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17777.94 rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s**3 + 439*s**2 - 767*s - 595. Give k(86).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-69)\/437)\/((-6)\/4).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 412927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/7)*q*q*q*q**6*q\/(q*q*q*q**(5\/2)*q*q)*q**(2\/11) assuming q is positive.\nAnswer: q**(435\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**6\/120 - u**4\/24 - u**3\/2 - 2*u**2. Let f be z(0). Let t = 11 - f. Calculate the remainder when 54 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 24 = -9*l. Find the common denominator of l\/2*(-63)\/(-48) and -29\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 8:42 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136461 + -0.91.\nAnswer: -136461.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -w + 45, -2*o - w = -6*w + 45. Let v be (o\/((-50)\/(-15)))\/((-3)\/4). Solve 7 = 7*u - 3*u - 3*i, -v*u + 2 = -2*i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -100001110101?\nAnswer: 100001111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*t = -75, 5*t - 9*t = 4. Suppose 64 = 4*c - z. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 13*z**2 + 3. Let d be n(13). Suppose -d*l - 5*y = 3, 2*l + 4*y + 20 = 4*l. Solve -3 = -3*b + l*k, 3*b - 9 = -k + 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -54*l**2 + 22*l + 7. Determine q(-2).\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 8 = 0, 3*u = -2*u - n - 29. Suppose -6*c = -7*c - 4. Sort -3, c, u in descending order.\nAnswer: -3, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 5 = 4*h, 0 = -5*b + 3*h - 9 + 20 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(50\/664)*5. Suppose 0*o + y = 4*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**4 + 180985*b**3 + 1638230900*b**2 + 8187354240*b + 6549304320 = 0. Calculate b.\nAnswer: -18096, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*i + 40 = 0. What is the remainder when i is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**5\/4 - 35*o**4\/6 - 775*o**3\/6 + 420*o**2 - 80*o + 5. What is c in j(c) = 0?\nAnswer: -8, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51720 - 51719.9999958827. What is x rounded to 7 decimal places?\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82 + -146. Let t = p - -26. Let v = -23\/153 + -61\/612. Which is greater: v or t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 14. Let n = 22 + -19. What is the second smallest value in -2, n, d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tz when two letters picked without replacement from {o: 1, k: 1, q: 1, z: 3, t: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 998.5 - 998. What is the closest to -5 in -5, z, 0, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o + 4 - 100. Let m be -5 - o\/9*9. Solve 4*z = m*z - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -252, -457, -708, -999, -1324, -1677, -2052?\nAnswer: -2443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.73 + 1.8\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536205 is divided by 14110.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25698562?\nAnswer: 2, 12849281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 278848?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - i - 297 = 0, 5*x - 300 = -i + 1161. What is the remainder when x is divided by 108?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*r - 39237, u = 37 - 32. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -7*b**2 - 4. Let d(o) = 112*o**2 + 63. Let l(i) = -i - 74. Let f be l(-11). Let k(q) = f*y(q) - 4*d(q). Let a(m) = -10*m**2. Determine a(k(j)).\nAnswer: -490*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 832998585 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8313\/70 or -118?\nAnswer: -8313\/70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2561 = -1281. Let b = z + 111391\/58. Let m = -1519\/522 - b. What is the common denominator of 33\/7 and m?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in -1\/2, -77.523, 4\/3, 0.5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134927 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -10*c - 5. Let f be j(-2). Suppose -3*o + 6*o = 3*x + f, -2*o + 22 = -5*x. What are the prime factors of (x + 1)*11\/(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164618 is divided by 1568.\nAnswer: 1546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x - 6 + 42 = 0. Is 543\/3 - (x - (1 + -2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 710+7.53552277\nAnswer: 717.53552277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 85 - 100. What are the prime factors of 79*b\/((-120)\/64)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368070849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.03 + -57.03. Let t = 54.9904 + h. What is t rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 6\/91 + -284\/1547. What is the nearest to n in -3, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0 = -2. Let p be ((-44)\/14 + 3)*(d + 0). Which is bigger: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 462 and 19250?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + a - 22, 0 = 5*n - 3*n - 2*a - 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 2)*3\/(-6). Let m be ((-24)\/12)\/(h*-1). Solve -t + 2*t + m = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, l: 2, v: 1, c: 1, y: 4}. Give prob of picking 1 l, 2 y, and 1 q.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -91*s**2 + 13 + 176*s**2 - 84*s**2. Suppose p = -3*p + 3*y + 9, -5*p - 3*y - 9 = 0. What is z(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1276?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 25*f - 69253. What are the prime factors of f?\nAnswer: 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 420 and 28?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, n: 2, e: 2, t: 4}. Give prob of sequence nane.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/((-2)\/((-20)\/10)). Let g(s) be the second derivative of o + 0*s**3 + 6*s - 5*s**2 + 0*s**4 - 1\/6*s**6 + 0*s**5. Differentiate g(q) wrt q.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86668 is divided by 170?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69 + 74. Let b = d + -5. Solve b = -5*c - n + 2*n + 15, -3*c + 5*n + 31 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -100*l + 1207. What is f(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 199974972 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: What comes next: -2701, -2698, -2693, -2686, -2677?\nAnswer: -2666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*q**3 + 31*q**3 - 2*q**3 - 2*q**2 + 0*q**3 - 12 to the form k*q + n + z*q**2 + y*q**3 and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 50710.4 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, h: 1, f: 1, v: 1, c: 2, n: 1}. Give prob of sequence mv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/5))**(-12\/11)*z**(-3\/10)*z**(4\/3) assuming z is positive.\nAnswer: z**(97\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4178*s + 110645 + 171207 = -52902 + 88252 for s.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 19*x - 15*x. Suppose x = 2*d + 5*q, -2*q = -3*d - 8 + 82. What is the greatest common divisor of d and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/5 of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53771 is divided by 861?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t = 199540 + 201071 + 73429. List the prime factors of t.\nAnswer: 2, 5, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2))**0*(x\/(x*x*x\/(x**(-2\/13)\/x)))\/x**(-1\/13) assuming x is positive.\nAnswer: x**(-40\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(605) + -1 - sqrt(605)) + (1 + sqrt(605) + sqrt(605))*-1 - (-1 + -2*sqrt(605) + 4))*4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/84)\/(2\/(-6)). Put -0.2, w, 2, 0.2 in descending order.\nAnswer: 2, 0.2, w, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17310 and 36880?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10138663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3362965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1*sqrt(270)*2)\/((-5*(sqrt(90) - -1*sqrt(90) - sqrt(90)))\/sqrt(9)))**2*5.\nAnswer: -60*sqrt(3) + 733\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = 18*k - 20*k. Let u = k + 11. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uhch when four letters picked without replacement from uyhyycuyyhcycyyu?\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 6*c**2 + 20*c + 1. Let j(i) = 11*i**2 + 48*i + 2. Determine 4*j(h) - 7*t(h).\nAnswer: 2*h**2 + 52*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, q: 2, i: 1, b: 1, m: 8}. Give prob of picking 1 q and 1 f.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 8) to base 12\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164, -303, -454, -623, -816?\nAnswer: -1039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 10, -36.\nAnswer: -36, -5, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10267822717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -643, -1286, -1929, -2572?\n\"Answer: -643*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(-12) + (2 - 1). Let v be ((-1)\/52)\/((-1)\/6). Let b = v + 121\/78. What is the second smallest value in b, -2\/17, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 3*g**2 + 3*g - 2. Let i be r(2). Suppose i = d - 18 - 16. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17897589 a multiple of 927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -31254.\nAnswer: -31254.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4830)\/8211*((-9)\/18)\/((-30)\/(-2))?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dde when three letters picked without replacement from {o: 1, d: 4, e: 3, r: 11}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1158 and 60409?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63640163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -16*t - 2*t + 26*t. Let x(i) = -3*i**2. Calculate y(x(v)).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 369820\/(-36080)*(-1)\/(-1)\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4476, -8930, -13382, -17832, -22280, -26726, -31170?\n\"Answer: x**2 - 4457*x - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -721952\/5 + 143810. Let d = -578 - z. Which is greater: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 24 = 4*h, -5*h = 14*q - 11*q - 46. Let s(p) be the first derivative of h*p + 0*p**3 - 5\/4*p**4 - 2 + 0*p**2. Differentiate s(d) wrt d.\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(((-57)\/(-95))\/((-2)\/10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**3 - 6*l**2 - 11*l + 3. Let b be d(-6). What is the second derivative of 2*c - 33*c + b*c**3 - 287*c**3 wrt c?\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*n**2 - 20*n**2 + n**2.\nAnswer: -123*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/12 and 149\/111366?\nAnswer: 222732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/(c\/(c*c**(-2\/61)*c*c))*c\/(c\/(c*c\/(c*c*c**(-5\/4))))*((c*c*c\/c**5*c)\/c*c*c)**25 assuming c is positive.\nAnswer: c**(1273\/244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 138961 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*a**5 - 29*a**4 - 186*a**3 - 1829*a**2 + 400*a - 1?\nAnswer: -540*a**2 - 696*a - 1116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 42, 58, 72, 84, 94?\n\"Answer: -n**2 + 19*n + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 9:22 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -29623?\nAnswer: 5\/29623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-64)*1)\/(1\/(-12))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 3 - 2)*(i**2 + i - i)*(4 - 1 + 0) as v*i + u + n*i**2 and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -18. Suppose -2*d = 8*d - 100. Let x = q + d. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.15843 (b) -4 (c) -0.125\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*n + 1, -g - 2*g - 3 = 4*n. Let k(b) = -b**2 + 9*b - 7. Let a be k(8). Let q = a + 4. Put q, -1, n in decreasing order.\nAnswer: q, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-3) - (-3)\/(-9). Let f = 3 - 0. Which is the third biggest value? (a) k (b) f (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2888913641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/2388 - 60491\/11940. Find the common denominator of g and 67\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 9 - 3 - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4624, 4623, 4622, 4621?\nAnswer: 4620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 27. Solve -q - 3*w = -3*q + 4, q - 2*w = t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13820, 54683, 122804, 218201, 340892, 490895, 668228, 872909?\nAnswer: 1104956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1142817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.0097 and -16.346.\nAnswer: -17.3557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2688) + sqrt(42))\/sqrt(3))\/((sqrt(16)\/(sqrt(12)\/sqrt(3)))\/sqrt(2)).\nAnswer: -15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/(-550)*(-33)\/(-18)*9\/(-12).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 10*m**2 + 1. Let z(v) = 2*v + 5. Let n be z(-3). What is the tens digit of l(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5 - 2*s - 5 + 1 + 4. Is f(-4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 15 - 19. What is the remainder when ((-38)\/c + 2)*(-800)\/24 is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3774304.\nAnswer: 2, 79, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z\/z**(-6\/11)*z**0*z)\/(z**(-1\/11)\/(z\/(z*z*z*z**(-4)*z))) assuming z is positive.\nAnswer: z**(62\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*o + 42*o - 79*o + 198 + 14*o**3 - 63 in the form z + d*o**3 + i*o + n*o**2 and give z.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*a + 17*a - 236016. What are the prime factors of 4\/(-26) - a\/156?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 19. Suppose -4*m + z = -5*t, -4*m + 20 = m + 5*t. Suppose -m = 2*o - 3*o. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/60)\/(33\/(-12))*2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -3*y**3\/2 + 7*y**2\/2 - 33*y. Let x be v(-1). What is the units digit of (-18*2)\/(1 + (-22)\/x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 91.8 - 92.1. Let z be (3\/5)\/(5\/(-25)). Let r be 7\/(-2) + 1 - z. Which is the second biggest value? (a) r (b) x (c) 2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-27)*45\/(-190). What is the closest to z in -0.5, -0.2, -4, -2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 6*a + 10. Let b be t(-5). Let o = -11 + b. Let h(u) = 2*u**2 + 5*u + 1. Is h(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u + 8. Let p(o) = -14*o + 25. Let s(z) = -11*g(z) + 4*p(z). Let j be s(9). Suppose -3*r + 2 = -13. Solve j*m = r + 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 3*t - 66, -2*k + 0*t + 2*t + 34 = 0. Suppose -5*d = -k - 5. Solve 5 + d = -3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 4*z**2 - 17*z + 43. What is the remainder when 30 is divided by n(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*z**2 - 120 + 296 - 176.\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -6. Does 17 divide ((-10)\/(-6))\/(j\/(-108))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-1\/6)*o\/(o\/(o**(1\/4)*o))*o*(o*o**(-6)*o*o*o)\/o**(7\/5) assuming o is positive.\nAnswer: o**(-19\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/15 and -52\/14193?\nAnswer: 70965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 9*j - 1. Let r be y(-5). Let q(u) = 2*u**3 + 2*u**2 + 4*u + 4. Let z be q(-1). Suppose 4*m - 103 + r = z. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/78 and -101\/96?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**5\/5 - 4*a**4\/5.\nAnswer: -a**4*(a + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-44))\/(((-23562)\/(-136))\/(-77))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/((-5)\/8))\/2. Suppose -h = -5 - g. Let s = 13 - h. Solve -3*z = z + s for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 2*y + 0*y + (4 - 6 + 0)*(3 - 3 - 2*y) - 5*y + 4*y + 0*y)*(-3 + y + 3)*(-546*y - 295*y - 337*y).\nAnswer: -1178*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 4*g**3 + 19992*g**2 + 25760484*g + 1934937920 = 0.\nAnswer: -2459, -80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, a: 3}. Give prob of picking 2 w.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -1244 and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g + 4 + 0*g - 9*g. Let s be 206\/14 + (-2)\/(-7). Suppose -33 = -8*p + s. Let y(h) = h - 1. Determine p*y(b) + q(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14951 - 15708.7. Let k = x - -790. Let m = -32 + k. Which is smaller: m or 4\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 34, 83, 160, 271, 422, 619, 868?\nAnswer: 1175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + i + 31 = 0, 5*n + 3*i + 3 = 78. Let c = n + -127. Let g = c - -573\/5. What is the fourth biggest value in 0.4, -4\/3, g, 4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (6 + (-1 - 2)). Solve -2*u - t + k*t = -1, -3*t + 14 = -5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w - 10*w = -3*q - 90, -w - 4*w = -w - 2*w + 6 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**4\/5 - 419*p**3\/5 - 27528*p**2\/5 - 50068*p\/5 + 213616\/5 = 0?\nAnswer: -338, -79, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*t - 219 - 51 = 0. Let o(x) be the third derivative of -1\/330*x**5 + 1\/33*x**4 + 0*x + 0 - 1\/11*x**3 - t*x**2. Let o(f) = 0. What is f?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2, -1\/4, 12.\nAnswer: -0.3, -1\/4, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 0*t - 37 + 2\/15*t**3 + 0*t**2 - 5\/4*t**4 - 132\/25*t**5. Factor p(z).\nAnswer: -z**2*(4*z + 1)*(33*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2))**(-2\/5)\/(y*((y*y**(2\/19))\/y)\/y*((y*y**(-2\/13)\/y)\/y)\/y) assuming y is positive.\nAnswer: y**(3518\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -493 (c) -58\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 272 + -159. Let q = 115 - g. Find the first derivative of -8 - 23 - 17*z**q - 24*z + 24*z wrt z.\nAnswer: -34*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 15.4. Let o be -1*37\/7 + 8\/28. Which is the biggest value? (a) w (b) o (c) 1 (d) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2317363832?\nAnswer: 2, 7, 31, 317, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 359.56215 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + 0)*23\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 - 4 + (1 + 2 - 4)*(6 - 2 - 1) - 8 + 2 - 4)*(3*y**2 + 3 - 3).\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 77 + 11 = 0. Let t = u + 11. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.024 - 0.073. Let q = s - 1.471. Let d = q + 0.32. What is d rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 4:23 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 - 7*w - 24. Let a be m(-6). What is a rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2141 + 2144. Solve -m*u - 1 = -2*f - 9, -4*f - 4*u = -4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 1\/6 (c) -2 (d) -10 (e) 0.07 (f) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -566, -2238, -5016, -8900, -13890, -19986?\nAnswer: -27188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 917 = -5*k + 4*h, 3*h + 729 = 4*k. List the prime factors of k.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19.7 and 3708.\nAnswer: 73047.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31809\/19 + -1673. What is the common denominator of i and 59\/(-5) - (-3)\/3?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eelllrlellllelell. What is prob of picking 1 l, 2 e, and 1 r?\nAnswer: 11\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 2*u**2 - 6*u. Let p(g) = g**3 - 3*g**2 - 6*g. Suppose 3*s = 3*m - 15, -3*s + 3 = -5*m + 14. What is m*p(t) + 3*h(t)?\nAnswer: t**3 - 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.5, -0.3, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 59 = -26. Suppose -x*w + 14*w = -12. Suppose w*r - 2*a + a = 3241, 5*r - 3*a = 4060. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306 = 177*c - 211*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 89*j**2 - 1987*j - 2851. Give i(-36).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/12*1\/1*-1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21449*y - 14493*y + 257372 = 0 for y.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -105077*h*j + 38*h - 3972858*j wrt h?\nAnswer: -105077*j + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(10\/(-16)) - (-19 + 14). Let c be 2*-3*2\/28. What is the nearest to -2 in c, x, 1\/6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/280*1*-16*-5?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 213215 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: Collect the terms in 4615*f**2 - 4615*f**2 + 3*f**3 + 2*f**3 - 7*f**3 - 5*f**3.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (6 - (-6 - (6 - 7))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 165 + -165.0000246. What is h rounded to 6 decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a hour in seconds?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6682407 is divided by 34?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-1*3)\/12)\/(30\/(-24))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/3003462 and -85\/2574396?\nAnswer: 18020772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*sqrt(108) + 2)**2.\nAnswer: -1308 + 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-5))\/((493\/170)\/(-29)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -427046350 by 50.\nAnswer: -8540927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -15*v - 6. Does 9 divide n(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d. Let v(a) = -3*a. Let s(j) = 5*m(j) - 6*v(j). What are the prime factors of s(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k. Let t(r) = 2*r + 3. Let b(m) = 1. Let l(d) = 3*b(d) - t(d). Give x(l(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f + 269?\nAnswer: 24a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.7 + -6.75. Let w = 0.049809 + c. Round w to five dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(98\/(-34) + (-58)\/493). Solve -r = j*r + t - 11, 4 = r - t for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11830 divided by -26.\nAnswer: -455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**5 - 135*j**4 - 975*j**3 - 845*j**2 = 0. What is j?\nAnswer: -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 3\/8, 1, 0.4 in decreasing order.\nAnswer: 4, 1, 0.4, 3\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4886*w**3 - 26*w**2 - 3*w + 2. Is b(1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.328 + 29.742. Let i = k - 37. What is the smallest value in 5\/2, 1\/9, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230279 is divided by 228?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 n when two letters picked without replacement from pddddnttpndpptddpdp.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/56 - (-1)\/(-12)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - 1 - 3\/(12\/16). Suppose 2*m = 5*m - 15. Sort u, m, -4.\nAnswer: -4, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40.9 + -41. Suppose -5*y + 19 = -n, 2*n = -2*n - 5*y - 1. Let h = -823\/4902 + 1\/817. What is the nearest to b in -1, n, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 882 + -888.49. Let l = -1.19 - c. Let m = l - 5.2. What is the closest to -1 in -4\/7, -1, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9170?\nAnswer: 2, 5, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1381 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {i: 1, a: 8, t: 1, m: 2, x: 8}.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52*n**2\/3 + 80471672*n\/3 + 4126752.\nAnswer: 4*(n + 1547532)*(13*n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -191 from -3.\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 372319 and 372317 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-19 - -13 - 6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 + -39. Suppose 0 = -5*o - 5*z + 585, m*z - 2*z = o - 97. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**3 + 2*t**2 - 2*t + 4. Let c(z) be the first derivative of z**4\/4 - 2*z**3\/3 + z**2 - 3*z + 25. Determine -4*c(v) - 3*o(v).\nAnswer: 2*v**3 + 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(2 + 5 + -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-9)*1*(-1)\/(-2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62986252?\nAnswer: 2, 7, 701, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -11601*r + 10. Let p be -6 - (-6)\/(-1 + 4). Let g(z) = 2*z**2 + 6*z + 2. Let k be g(p). Let n be h(k). What is n rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o - 4*o + o + 2 + 6*o.\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 3\/14, -4, -0.5?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 49*x**2 - 52*x + 107. What is l(50)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.89 and 11.4.\nAnswer: 10.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (76\/16)\/(2\/8). Let q = f + -17. Suppose -717 = -d - q*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, x: 5, d: 1, z: 1, a: 4, f: 2}. Give prob of sequence fzf.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/4 and 123\/308.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-55) + 2156\/2420)*(-30)\/(-16)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + 0. Let c = 102428 + -102431. What is the closest to 2\/7 in -4, u, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q + 1 = 0, -5*c + 949 = q. Let g = c + -100. Is g a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3*p*s**2 - 2*c**3*p + 601*c**2*p*s**2 - c*p - 3*c*s - 111*s wrt s.\nAnswer: 4*c**3*p + 1202*c**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 9*w**2 - 22*w + 4. Let s be t(-11). Solve -u + 3*u = 4*p + 10, -4*u = -s*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*sqrt(448)*5 + sqrt(448))*-4 + 1*(-2*sqrt(448)*-5 + sqrt(448) - (sqrt(448) - (0 + (sqrt(448) + -2 - sqrt(448))))))**2.\nAnswer: 8128*sqrt(7) + 28903172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 246126549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*j*m**2 - 63*j*m + 329*j + 204590*m**2 - 1 wrt j.\nAnswer: -9*m**2 - 63*m + 329","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 765707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7 = -23. Let x = -11 - g. List the prime factors of (-3)\/(1\/x + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2968 and 515200?\nAnswer: 27305600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 197364 > -1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*v + 5*w - 0, 2*v - 4*w + 2 = 0. Suppose 3*o - 2*g = 999, 5*o + v*g = -g + 1643. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 249, 494, 785, 1092?\nAnswer: 1385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiii. What is prob of sequence ii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14\/13 + -44\/65. Let f be ((-14)\/10)\/(-10 + (-144)\/32 - -11). Determine c, given that o*c**2 - f*c - 4\/5 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 11:48 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4931 + 4931 + 112*k + (2*k - 1 + 1)*(2 + 0 - 4) + k - k + 2*k.\nAnswer: 110*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -26, -32, -38, -44?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 3) in base 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6*i + 33. Let o be h(-6). Let r be 13 - (-9 - (o + -4)). What is the greatest common factor of r and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = o + 2*d + 18, -2*d = 5*o - 9. Let q = -4 - -9. Sort -4, q, o.\nAnswer: -4, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 4 (c) -8 (d) 0.3 (e) -1180.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -83397, -17 in descending order.\nAnswer: 5, -2, -17, -83397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03719 + 44.04681. Let s = -44 + h. What is s rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + a + 2*a - a**4 - 101*a**2 - a**3 + 100*a**2 as z*a**3 + p*a**4 + c*a + h + r*a**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.23*-5\nAnswer: -1.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001001010110001 + 0?\nAnswer: 1001001010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -13*o - o. Calculate the remainder when 43 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*a + 6970 = 54*a + 277*a - 5830 for a.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 + 4*v**2 - 5*v + 3. Suppose 10 - 20 = 2*b. Let a be t(b). Let q = -70 - a. Calculate the remainder when 155 is divided by q.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 + 19*z - z**3 - 4*z**3.\nAnswer: -4*z**3 + 19*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/5 - 3021*c.\nAnswer: -c*(c + 15105)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*j + 6416, 0*s + 3*j - 3203 = -2*s. List the prime factors of s.\nAnswer: 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**4 - 2*b + 0*b**4 + 0*b**4 - 5*b wrt b.\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 423.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/297954 and -137\/695226.\nAnswer: 2085678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 429 or -7?\nAnswer: 429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*l - 221 = -51*l. What is the remainder when (-2)\/(-9) + (-1130)\/(-18) is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)*4 - (sqrt(121) + -4*sqrt(121) - sqrt(121))\/sqrt(11).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h**2 - h. Let s(t) = t - 7. Let w be s(6). Let m be i(w). Suppose g + g = -3*a + 26, 0 = 3*a - 4*g - 2. Is m greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/162*(-3)\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeeezazxe. What is prob of sequence ex?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*o - 33 = 66*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 + 37313784170*u - 37313784170*u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 21 + 5 = 0. Suppose h*t + 9 = 29. Suppose k - t - 3 = 0. What is the lowest common multiple of k and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160, 637, 1444, 2581, 4048, 5845?\nAnswer: 7972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 22 = 14*n. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11570, -23207, -34916, -46709, -58598?\nAnswer: -70595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a hour in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1376 or -1433?\nAnswer: -1433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -1 - 2*s**2 + s**2 + 39*s - 2 - 45*s. Calculate l(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1479 to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3092 is divided by 1182?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -4. Let h(r) = -p*r**2 + 4*r**2 - r**2. Let z(m) = m**2. Calculate h(z(f)).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**4\/8 - 7*r**3\/6 + 9*r**2. Let k be s(4). Suppose 0*m + 2*m = f + 49, 0 = m - k*f - 2. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.49322348 rounded to two decimal places?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 5*k - 16. What is the remainder when 51 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 4271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jejmjjjejjqq. What is prob of sequence jeme?\nAnswer: 7\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7b25 (base 12) in base 7?\nAnswer: 54653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 11:05 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 10:26 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2426.\nAnswer: 2, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 12*a - 10. Let x be n(-13). Let k(t) = -t + 19. Is k(x) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6 from -6309886157.\nAnswer: -6309886151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18686855 is divided by 6228947?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + y + 16572 = 0, 3*u + 41*y = 44*y + 24849. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*j*t**2*z**2 - 77*j*t*z**2 - 25*j*z**2 - 780*j*z + 177*t**2*z - 3*t*z wrt z?\nAnswer: 42*j*t**2 - 154*j*t - 50*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*x + 2 + 2*x**4 - x**3 + 44*x + x**2 - 13*x - 14*x - 7*x to the form s*x**2 + p*x**3 + o + i*x + n*x**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**4 + 2 + 569*y**2 + 3*y - 1138*y**2 + 3*y**3 + 567*y**2 in the form f*y**3 + n*y**4 + i*y**2 + b + j*y and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -c8c?\nAnswer: -c88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(87\/(-21) - -4). Let t = 7 + k. Are -18 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4844, 4842, 4840, 4838?\nAnswer: 4836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 10. Let c(o) = o**3 + 3*o**2 - 2*o + 1. Let q be c(-3). Let j be u(q). Solve 0*m - j*f = -3*m + 24, -3*f - 4 = m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472*q = -469*q + u + 5, -8 = 4*u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.7707 or -1?\nAnswer: -2.7707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.07835 + -0.13635. Which is the second smallest value? (a) 1\/3 (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82407 is divided by 59.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 - 92*b - 267. Suppose -4*r - 182 = 2*y, 21*y - 25*y - 235 = 5*r. Calculate g(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56 - -60. Suppose c*b = 5*d - 1489, 4*d - 3*b = 2*b + 1184. Let s = d + -176. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 9*g**2 + 10*g + 17. Is x(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97406 is divided by 455.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -66, -187, -390, -675?\n\"Answer: -41*i**2 + 2*i - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gdctgddtgcdd. What is prob of sequence cddg?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16519013?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -6 - -5 - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 252594*q**2\/5 + 50516*q - 14\/5.\nAnswer: 2*(q + 1)*(126297*q - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.26735us in seconds?\nAnswer: 0.00002426735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4\/7 + 8*i**3\/7 + 2*i**2\/7 - 32*i\/7 + 24\/7 = 0. What is i?\nAnswer: -2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -197, -464, -849, -1358?\nAnswer: -1997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w. Let n be d(7). Calculate the highest common factor of 14 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, 1\/2 in decreasing order.\nAnswer: 6, 1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -0.07, 21?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/84 - (-6 + (-1035)\/(-35)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*h = 151*h + 124 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0908553 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(162)*-1.\nAnswer: -9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 279 + -251. Solve 19 = -3*z + k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four fifteenths of a day?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 90, 195, 346, 567, 882, 1315, 1890?\n\"Answer: 4*k**3 - k**2 + 80*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 21*d**2 + 6*d + 14. What are the prime factors of n(21)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79515478?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3318293772 to the nearest integer?\nAnswer: 1492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 71, 162, 325, 566, 891, 1306, 1817, 2430?\n\"Answer: r**3 + 30*r**2 - 6*r + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -86 + 84. Let z = 0.1 + 0.1. What is the closest to z in s, 2\/11, -0.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 4*l - 12, 128*l = 2*t + 130*l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -230 - -446. Suppose -3*c + x = c. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 13*r = 64, 33 = -3*n + 2*r - 28 + 71 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -200897 - 59258. Let g = -260154.8000005 - l. Let k = g + -0.2. What is k rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1 - 4 + 5 - 2 + (1 + 2 - 5)*(1 + 1 - 3) + 1 + 2 - 1 + 8 - 12 - 5)*((4*c + c - 2*c)*(c**4 - 5*c**4 + 2*c**4) + 4*c**5 + 0*c**5 - 8*c**5).\nAnswer: 70*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 25*x + 371. Suppose -3*h - 2*h = -10. Suppose 36 = h*i - 38. What is the remainder when t(32) is divided by i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j - 2. Let z be x(2). Suppose 5*v + 445 = 4*p, z*v + 3 = v. Let d = -73 + p. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268597 + 591023 - 258426 = -9109*s for s.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 9 + 5*b**2 + (25 - 9 + 6)*(-5*b**2 + 10 + 5*b**2 - 2*b - b**2) in the form d*b + h + q*b**2 and give h.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 13*s + 6 = -2*o, 179 = o - 4*s + 172 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1379591798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-489)\/(-33) - 8\/(-44). Suppose 5*x - g - 20 = 0. Suppose 0 = 3*k + x - 52. Solve -o = -1 - 2, o = -3*w + k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n**2 - 3*n + 3. Let g(c) = 0*c - 1 - 4*c + c**2 + 5*c. Let x(a) = -9*g(a) - 2*z(a). Suppose 0*q + 20 = -4*q. Determine x(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -2. Let j = 8 + i. Suppose -2*g + j = 1. Put -4, -3, g in descending order.\nAnswer: g, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 + 2)*(-2*w - w + 2*w) + w + 0*w - 3*w)*(-3*w - w**2 + w - w**2).\nAnswer: 10*w**3 + 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.37 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -94*p**4 + 24*p**3 - 18*p - 7656. Let o(m) = m**4 - 4*m**3 + m**2 + 3*m - 3. Let v(f) = j(f) + 6*o(f). Differentiate v(t) with respect to t.\nAnswer: -352*t**3 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 70822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1970 - -7224. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 18*i - 7. Let o(h) = h**2 + 10*h - 72. Calculate the remainder when j(5) is divided by o(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 5. Let g be c(2). What is the third derivative of 3*j**2 - 11*j**g + 4*j**3 - 3*j**4 + 7*j**3 wrt j?\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 28 = 4*h, 0 = 4*q + q + 3*h - 174. Let p be (1\/(-5))\/(q\/120)*-9. Solve -p = -2*w + 4*s, -s - 11 = w - 2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11872 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t + 4*t + 8*t**4 + t**2 + 46 + t**3 - 19 - 34 in the form s*t**4 + y + j*t**2 + q*t**3 + c*t and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 0*y**3 + 0 + 1\/11*y**5 + 0*y + 0*y**2 - 23\/11*y**4 = 0.\nAnswer: 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 6 = -3*i + 6, -5*i + q = -8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 722 and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 296179259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -36, -217, -748, -1815, -3604, -6301, -10092?\n\"Answer: -31*w**3 + 11*w**2 + 3*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49878761 to the power of 1\/2, to the nearest integer?\nAnswer: 7062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) -1\/4 (c) 3 (d) -878013 (e) 0.1 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5*p = -30, 33 = -4*v - p + 3. Let g(m) = -3*m - 11. Let n = -2 + 7. Calculate the remainder when g(v) is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1931617580.75 - 0.015.\nAnswer: 1931617580.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**4\/4 - 675*o**3\/2 + 91135*o**2\/4 - 173595*o\/2 + 64350 = 0.\nAnswer: 1, 3, 110, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*m + 2. Let z = -6328 + 6325. Sort -1\/4, z, m in decreasing order.\nAnswer: m, -1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 6*h**2 + h - 5. Give g(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(56\/(-7))*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (448\/21)\/((-6)\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -607*h - 147. Is 64 a factor of c(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1))**(-19)*(p**(-1\/10)*p)**(10\/9))**(4\/7) assuming p is positive.\nAnswer: p**(80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -13*h**2 - 7*h - 3. Let x(o) = 12*o**2 + 7*o + 2. Let p(a) = -5*k(a) - 6*x(a). Let n(r) = -3*r**2 - 3*r + 1. Give 5*n(j) - 2*p(j).\nAnswer: -j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 291531 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*m + 5*v - 740024290, 0 = -4*v + 4. Suppose -m + 8704857 = -7*q. What is q rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461*v - 7742 + 27565 = 0 for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8698.99983879 - 8699. Round a to 5 decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of 83*u**8\/336 - u**7\/35 + 4877*u**5\/60 + 7651*u**2. What is the third derivative of d(t) wrt t?\nAnswer: 4980*t**2 - 144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**5 - 30*k**4 - 18651*k**3 + 30*k**2 + 18648*k = 0.\nAnswer: -74, -1, 0, 1, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4020414 (base 5) to base 3\nAnswer: -10020121011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1110 and 35150.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, -0.1, -2\/31?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*n**3*q**2 - 662260*n**3 - 6*n*q - 109430*q**2 wrt n?\nAnswer: -24*n*q**2 - 3973560*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 108a - -32?\nAnswer: 10bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2451*s - 2474*s + 4937*s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-3\/14))\/(a\/a**(1\/12)))\/((a\/(((a\/((a*a**(-3\/7))\/a)*a)\/a)\/a))\/a**(-12)) assuming a is positive.\nAnswer: a**(-1031\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 87\/6 - 2\/4. Suppose 0*v = 3*b + 4*v - f, -3*b + 8 = v. Solve 12 = -4*a - 4*y, -2*y + 4*y = -4*a - b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 178216737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (4 - ((9 - 0) + -9 + -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 4:29 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 671\/44) + 18\/40?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 556271.1mg?\nAnswer: 0.0005562711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 1. Let n = z + -7. Suppose -6*h + 5*h = -5. Solve 2*u + h*o = 4*u, 2*o + n = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1610?\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m - 13*m = -k + 690, 5*k = -25. Which is smaller: 416\/3 or m?\nAnswer: 416\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 100 + 3*d**4 - 44938*d**3 + 44938*d**3 - 13*d**2 wrt d.\nAnswer: 12*d**3 - 26*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**5 + 870*w**4 - 74547*w**3 + 1637580*w**2 - 7647900*w + 6084000 = 0.\nAnswer: 1, 5, 24, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52*d*u**2 - 27*d*u - 6*u**5 - 15*u wrt u.\nAnswer: 104*d - 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(65\/(-22) + 3). Let x(r) = -19*r**2. Let o be x(1). Let c = w + o. Sort -5, 4, c in decreasing order.\nAnswer: 4, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 12 - 18)*(0*s + 0*s + 3*s)*(3 - 3 - 5) as b + f*s and give f.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65390.05 tonnes to grams.\nAnswer: 65390050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 e, 1 m, and 1 s when four letters picked without replacement from gisekme.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -1\/5, 2\/135, -37?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 293851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3473766239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 - 6*j**2 + 0*j**2.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 4 = 22 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5970569, -5970652, -5970739, -5970830?\nAnswer: -5970925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5 = -3*v + 6*v, -4*v = 2*z. Suppose -6*k + 120 = -2*k. Suppose 3*j = 12 + k. Solve 4*o + z = -j for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -7\/12, 3\/5, 1\/3, 2\/7 in ascending order.\nAnswer: -7\/12, 2\/7, 1\/3, 3\/8, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 15. Let n(j) = -10*j + 2. Let g be n(2). Let o = 7 - g. What is the greatest common divisor of o and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 422.015 + -422. Sort 0, b, 4 in decreasing order.\nAnswer: 4, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366 + 194 + 2176 = 12*o. What is the greatest common factor of 5130 and o?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t - 21. Let c(y) = 2*y. What is z(c(w))?\nAnswer: -10*w - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 128*o**2 - 31*o - 146. What is the units digit of c(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 857 or 851?\nAnswer: 851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**2 + r**2 + 0*r**2 + 2*r**2 + r**2 - r**2 + (4 - 4 - 5*r)*(-3*r + 0*r + r) + 1 - r**2 - 1 - 7*r**2 - r**2 + 4*r**2.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*r + p - 10 = 0, 0 = 5*r - 3*p - 14. Let k(f) = 18*f + 16. Calculate the remainder when k(r) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2361 and 0.1.\nAnswer: 236.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 3*w**4 + 2 - 8\/3*w**3 - 4*w**2 + 3*w + 7\/60*w**6 - w**5. Let g(r) be the first derivative of s(r). Factor g(f).\nAnswer: (f - 2)**3*(7*f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 14. Let d = -15 - x. Which is the second smallest value? (a) d (b) -3\/4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + sqrt(448) + (sqrt(448)*-1 - sqrt(448)) - (sqrt(448) + 1 - sqrt(448))*1 - (-3 + sqrt(448) + sqrt(448) + 0 + sqrt(448) + -4)))**2.\nAnswer: -1280*sqrt(7) + 28772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1019435817 divided by -3\nAnswer: -339811939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2850562?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 3. Let w = -1 + p. Let t = w - 23. Put -1, 0, t in ascending order.\nAnswer: -1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 5:55 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 748\/(-340) - (-218)\/90.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 - 2*o - 588. Let q be r(0). Let c be ((-3)\/2)\/(63\/q). Is 15 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 26*m**2 + 54*m - 139. Let a be x(24). Solve n = -2*h + 2, -24 = -5*n - a*h - 9 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k = -2*t - 21*k - 32, -5*k = 4*t - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 10*g**2 + 10*g - 2. Let x(o) = 20*o**2 + 21*o - 5. Let f(t) = 2*x(t) - 5*y(t). Find the second derivative of f(j) wrt j.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1175 times 0.8\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 68 = 2*d. Is -1*1 + (-1666)\/d a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3*p - 18 = 0. Let j be 69529994\/6 + (-8)\/p. Let s = 2511669 + j. Round s to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_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: Let l = 9\/242 - -215\/726. What is the closest to l in -2\/5, -3.39, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -183260 + 183165.917. Let x = 94 + l. What is x rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 256 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 141468668*s**3 + 1089391535 with respect to s.\nAnswer: 424406004*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69*(-2344)\/262821*(-26)\/744*2?\nAnswer: 4\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -10*c**2 + 4*c - 6. Let h(g) = 7*g**2 - 3*g + 4. Suppose y = 2*l + 16, -2*l + 25 = 4*y + 3*l. Let w be 1*((-3)\/1 + y). Determine w*h(b) + 5*z(b).\nAnswer: -b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/(-195) + 28\/13 + 2. Calculate the lowest common multiple of r\/10 + 342\/45 and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.95 + -42.55. Let x = q - -38. Which is the biggest value? (a) x (b) -5\/2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 3*d - 7. Let a be r(-5). Suppose o + 3*o = 0. Suppose o + 24 = a*z. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 804 is divided by 381?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151 - (88 + -34 - -31).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28)\/(-5) + 3\/(-5). Suppose p*a - 2*o - 235 = 0, -3*a - 64 = -3*o - 196. Let g = 88 - a. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.727166 years to millennia.\nAnswer: 0.005727166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.5 (b) 50 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + 2 - 30*r**2 + 4 + 80*r**2 + 5 - 14 to the form h*r**2 + f*r + p and give h.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 7*p**2 + 6*p - 6. Let z = -3 - -4. Let k(d) = -5 + d**2 + 1 + 8 - 5 + d. What is z*w(a) - 6*k(a)?\nAnswer: -a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2921 - -265.7.\nAnswer: 265.9921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*1*sqrt(66)*-1)\/(sqrt(6)*1*-5 - (sqrt(6) - 4*(sqrt(6) - sqrt(6)*-1))).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*v**3 - 2*v + 0*v**4 - 31*v**3 + 11*v**4 wrt v.\nAnswer: 132*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -3221*z**5\/60 - 774*z**2 + 2*z. Let o(w) = 2*w. Determine x(o(v)).\nAnswer: -12884*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 3*k = 15, -g + 10*k - 5*k = -25 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101020102201 (base 3) to base 9.\nAnswer: 336381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 3*w + 3. Let x be m(3). Suppose 2 = -x*r - 1. Which is smaller: r or 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 5 - 19 = 0. Let t(g) be the first derivative of 0*g + 0*g**3 - 1 + 3\/4*g**4 + p*g**2. What is the second derivative of t(d) wrt d?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c = -24*c + 10025. Let i = c - 1392. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z**2 - 6*z**2 - 9*z**2.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l**(-1\/5)*l)\/l**(-1\/4))**(-5)\/((l**(-1)\/l**(2\/21))\/(l**6\/(l**4*l))) assuming l is positive.\nAnswer: l**(-1525\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 395, 157, -183, -619, -1145, -1755, -2443, -3203?\n\"Answer: m**3 - 57*m**2 - 74*m + 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3199, 3218, 3251, 3298, 3359, 3434, 3523?\n\"Answer: 7*q**2 - 2*q + 3194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, t: 4, a: 1, y: 1, h: 3}. What is prob of picking 1 h and 1 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 3)*(x - 2*x + 0*x)*(-4774*x**3 + 0 - 2*x**2 - 2 + 4764*x**3 - 3*x) to u*x**3 + z*x**2 + m + o*x**4 + i*x and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 194\/(4 - 2) + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**6\/96 - 55*j**5\/24 - 15125*j**4\/96 - 94*j**2. Suppose t(y) = 0. Calculate y.\nAnswer: -55, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 p when two letters picked without replacement from fhqpp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24\/133 - -2\/19. Suppose 12 = n + 3*s, 3*s - 7*s = -4*n - 32. What is the nearest to 2\/7 in -2\/5, q, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 951030 and 6?\nAnswer: 951030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2. Let b(y) = -13*y + 2575. Calculate b(p(n)).\nAnswer: 13*n**2 + 2575","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21900 - 21842.885. Let t = -57 + w. Let i = t + -0.11500285. Round i to seven dps.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 2016?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -2cd77?\nAnswer: -2cd74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 + 195\/(-25) - (-6)\/(-10). What is the nearest to d in -15, -0.04, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + b27c?\nAnswer: b282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4 + (3 - 10))\/(3\/(-651))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 535.\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14078.\nAnswer: 2, 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x**2 - 303*x - 92. Is d(-46) a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.498237 micrograms to milligrams.\nAnswer: 0.001498237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 21*x + 5. Let l be g(21). Let r = 3 + 6. Suppose -r = -3*a, -5*a - l = z - 6*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + h = 4*h + 17, 0 = 5*p - 3*h - 61. Calculate the greatest common divisor of 176 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -194397 and -77.\nAnswer: -194474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byw when three letters picked without replacement from {y: 4, b: 6, w: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/11190 and -49\/2.\nAnswer: 11190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q = -30. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + -4)*(4 + -5). Suppose -2*p = -j*r + 8*r - 6, 0 = -p + 1. Suppose -3*s = -3*k + 3, -k - 5*s = -4*k - r. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 794304.1cm to kilometers.\nAnswer: 7.943041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen quarters of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 131 + -117. Suppose 9 = -2*v + 31. Let n = w - v. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293*t**2 - 113*t**2 - 86*t**2 - 84*t**2.\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8710 is divided by 1449?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - l - 5. Let o be p(4). Suppose 0 = 4*g - 8, 200*g + 6 = 2*a + 196*g. What is the greatest common divisor of o and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 516 and 78116380?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 7*t**4 - 1 + 3*t + 4 - 1601*t**2 + 7*t + 1604*t**2 in the form f + n*t + q*t**2 + b*t**4 + s*t**3 and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 14 + 0 = 0. Suppose 7*h + d*h = 54. Suppose 2*a - 2 - 12 = 0. What is the lowest common multiple of a and h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 12 - 22*j - 31.\nAnswer: -22*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78449196 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5\/939 - 904\/6573. Which is the closest to 1? (a) -3\/7 (b) t (c) 3\/8 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 148536 and 4?\nAnswer: 148536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-201)*3\/2. Suppose -6 = -4*p + 2*f, 3*p + 5*f - 43 + 6 = 0. Which is the third biggest value? (a) p (b) v (c) 3\/4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 154 * -0.067\nAnswer: -10.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2788 = 482*y - 2074 - 6980 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 8 = v + 4*d, 0 = -v - 3*d + 4. Let p(g) = 252*g**3 + 2*g**2 - 1. Is p(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 3*u - 2. Let o(i) = -i**2 - i - 1. Let b(q) = g(q) + 3*o(q). Let j be b(5). Suppose -j = 4*t - 9*t. Solve 0 = -0*x - 3*x - t for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*y = -24*y + 1242. What is the greatest common divisor of 3960 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/4 + 8\/(-16). Let v(h) = h**2 + 4*h + 5. Let y be v(q). Suppose 0 = -5*k - 5*j + y, 13 = -3*j + 4. What is the highest common divisor of k and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**4 + 2*m**4 - 5*m**4)*(-5*m + 2*m - m).\nAnswer: 12*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359757 is divided by 127.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*m - 5 - 1 - 276*m**4 + 4 wrt m?\nAnswer: -3312*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(440)*3)\/sqrt(8))\/(-2*sqrt(11)*6)*4 + 0.\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 10*w**3 - 2*w + 9. Let h(i) = 11*i**3 - 3*i + 10. Give 3*h(z) - 4*l(z).\nAnswer: -7*z**3 - z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-196*c**2 - 501*c**2 - 75*c**2)*(9 + 1 + 0).\nAnswer: -7720*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5461?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + t + 74 + 60 = 0, 5*t = 4*b + 84. Let f = 2 - b. Let w = 48 - f. Calculate the remainder when 54 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116591 = -3*n - 4*i, 0 = -5*n + 2*i - 50785 + 245138. Suppose n = 14*w - 20505. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q - 2 + 2)*(-342 + 342 + 144*q**3) - 2*q**4 + 2*q**2 - 2*q**2 as s*q**4 + r + o*q + h*q**3 + p*q**2 and give s.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3680\/(-160))\/(0 + (-2 + 4 - 3))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.6 and -29.\nAnswer: 104.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, t: 5}. Give prob of picking 2 n and 1 t.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 1480.\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from {r: 3, f: 1, o: 1, z: 2, h: 3, g: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 1:00 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*m - 8057 + 2697 = -107*m for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 37*l**4\/24 + 31*l**2 + 12*l - 1. Let u(r) = -105*r**2. Give d(u(j)).\nAnswer: -3885*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 3:21 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 74.7357ng?\nAnswer: 0.0000000747357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 232, 454, 664, 856, 1024, 1162?\n\"Answer: -j**3 + 229*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7039 a factor of 4930687209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39771651.\nAnswer: 3, 3203, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + d + 0*d)*(686*d - 1328*d + 6183*d)*(0 - 1 + 0) - 16*d**2 + 5*d - 5*d.\nAnswer: -5557*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 1, -804?\nAnswer: -804","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 5)*(p**2 - 1 + 1) + 11*p**2 - 12 + 12 to the form o*p**2 + w + u*p and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 w when three letters picked without replacement from {s: 4, t: 6, w: 3, i: 2, p: 1}?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -555233 (base 7) to base 11.\nAnswer: -6759a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i + 34. Let x be t(-8). What is the highest common factor of x and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30488 is divided by 34?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 1254*d**2 + 5*d - 4. Let u(i) = 1254*i**2 + 8*i - 6. Calculate -3*o(s) + 2*u(s).\nAnswer: -1254*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -21*b - 3 - 28. What is the nearest to b in -0.05, -2\/7, 5\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 72?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2332 - 384 = 4*u, -4 = b. Does 19 divide (-2)\/(10\/u) - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f - 2*f - 7*f**2 - 6*f - 4*f.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-4 + sqrt(11)*-1 + sqrt(11))**2 + (sqrt(11) + 1)*-3) - (sqrt(275) + 2 + sqrt(121)\/(sqrt(55)\/sqrt(5)))*5.\nAnswer: -36*sqrt(11) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 526*l - 375*l**2 + 110*l - 1609*l**2 - 4140 + 4143 - 1864*l**2 wrt l.\nAnswer: -7696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554743467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5955*q**2 + 5493?\nAnswer: -11910*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(13) + sqrt(13) + 1 + 1)**2 - (sqrt(13) + (sqrt(143) + sqrt(143)*2 + sqrt(143))\/sqrt(11) + sqrt(39)\/sqrt(3) + -5).\nAnswer: 10*sqrt(13) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74249 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -164, -155, -146, -137, -128, -119?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 204933 less than 6762766\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) 4 (c) -13 (d) -3 (e) -21.54 (f) -4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 32*i**3 - 23*i**2 - 8*i - 17. Let l(x) = 11*x**3 - 8*x**2 - 3*x - 6. Let t(b) = -17*l(b) + 6*n(b). Let d(z) = z**3 - z**2 + z. Give -3*d(o) + t(o).\nAnswer: 2*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -8. Let c be 1\/(-1)*d\/(-5). Let z be 6\/(-33) - (-333)\/1287. Are z and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -8855*q**4\/12 + 5*q**3\/6 - 15*q**2\/2 - 15*q. Let h(g) = -4428*g**2 + 3*g - 8. Let m(x) = -6*b(x) + 11*h(x). Is m(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1216) - sqrt(1216))**2 + (-3*sqrt(1900))**2.\nAnswer: 17109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.41915349 from -0.03.\nAnswer: -1.44915349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 77152042 + 3?\nAnswer: 77152045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2. Let q(i) = 36*i + 16. Let u(t) = 7*t + 3. Let w(h) = -3*q(h) + 16*u(h). Calculate z(w(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 - 37. Let i be 1032\/18 + 1\/(-3). Let g = i + -38. Calculate the greatest common divisor of g and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 66124, 132248, 198372, 264496, 330620, 396744?\n\"Answer: 66124*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.7582ml to litres.\nAnswer: 0.0677582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -11001?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 759.372s to microseconds.\nAnswer: 759372000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.389*0.09.\nAnswer: 0.03501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p - 6. Let j(z) = 56*z + 66. Let w(a) = -6*j(a) - 68*l(a). What is the tens digit of w(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5119996?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 443, 72 in descending order.\nAnswer: 443, 72, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6980 and -0.17.\nAnswer: 1186.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*1 - (-15 - -12). Suppose 0 = 4*t - a. Solve -b + t = 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 2, 3 in increasing order.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 232 and 690664.\nAnswer: 690664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*u - 80, -u = 3*u - 2*m - 64. Let p = -3111 + 21738\/7. Calculate the common denominator of (-10)\/u*132\/(-9) and p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(100) - sqrt(100) - sqrt(100)) + sqrt(100))\/(sqrt(288)\/sqrt(9)).\nAnswer: -5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7003 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53830?\nAnswer: 2, 5, 7, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(512) + sqrt(32) - sqrt(8)) + -5)*3 + 3.\nAnswer: -12 + 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002097 to 6 decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 3526926.812 to the nearest one hundred.\nAnswer: 3526900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1959126 divided by 9\nAnswer: 653042\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 17\/2. Let h be (-6)\/(-15)*((-315)\/(-28) + -5). Factor -h*t - f*t**3 - 1\/4*t**4 - 3*t**2 - 3\/4.\nAnswer: -(t + 1)**3*(t + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 1370.2081?\nAnswer: 274.04162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 79 = 6*i. Let x be (-2)\/9 - (-166)\/i. Suppose -5*q + x*q = 0. Sort -6, -1, q in ascending order.\nAnswer: -6, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 1. Let r(v) = -2*v + 12. Let q(g) = r(g) - 12*t(g). Let w(s) = 5*s**2. Give q(w(p)).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 12*q**2 + 11*q - 5. Let m be b(-11). Let w(r) = -5*r + 1. What is w(m)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16440651?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 11*v**2 - 562*v + 50. Calculate j(51).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 218 - 2.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 913 - 3*g**3 + 0*g**3 - 913.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 1563535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*n**3 - n**2 + 9*n**3 + 7*n**3 - n + 2*n**3 as p*n + q + i*n**3 + j*n**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 557969\/(-20633) - (7 - 34)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/81*371*21\/49 - 13\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a - 2875 = -2896 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 173385*n*v**4 - 14*n*v**2 + n*v - 7*n + 2*v**4 - v**3 - 471 wrt v?\nAnswer: 4161240*n*v + 48*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 11, t: 8, e: 1}. Give prob of picking 1 t and 2 q.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/(36 + 382) + (-85)\/66)\/((-20)\/(-150))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -69*v**3 - 4*v**2 - 2*v + 9. Let i be o(4). Find the common denominator of i\/(-468) + (-2)\/39*3 and -11\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 + 67. What are the prime factors of d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + p + 1. Let s(j) = -2*j**2 - 7*j + 8. Let z(t) = b(t) + s(t). Determine z(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*g + 1331 + 392 = 0, 5*w - g = 2866. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 take away 10770362?\nAnswer: -10770354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -404*u - 7244. Let v be k(-18). Which is the third smallest value? (a) -2\/13 (b) 0.5 (c) v (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*k**2 - 7*k**2 + 2*k**2)*(-k**2 - 3*k**2 + 5*k**2) - 5*k**4 + 3*k**4 + k**4 + 0 + k**2 - 2 - 188*k**4 + 189*k**4 - 3*k**3.\nAnswer: 14*k**4 - 3*k**3 + k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -729\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5683488.3 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -l + 5, 3*l - 7*l + 10 = -c. Let f be (3 - -3 - l)*(-3465)\/(-906). Let y = -4\/151 - f. Find the common denominator of y and -27\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 66, 52, -26, -168, -374, -644, -978?\n\"Answer: -32*v**2 + 82*v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5053*o - 398159 + 115300 = 14512*o + 714956 for o.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 9*g**2 - 9*g + 6. Let l be i(-10). List the prime factors of 209 - 0*l\/12.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -47*g + 12. What is the units digit of q(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 17046280 and -1260.67.\nAnswer: 17045019.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6*c + 94. Let p be j(-15). Let s be p\/(-5) - 0 - 792\/(-15). Round s to the nearest integer.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 17*l - 23. Let r be k(-9). What is the derivative of 367*d**3 - r - 22 - 405*d**3 wrt d?\nAnswer: -114*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - 4*w**2 + 0*w**2)*(19*w**2 + 50*w**2 + 38*w**2) - 41*w**3 + 41*w**3 + 6*w**4.\nAnswer: -101*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjor when four letters picked without replacement from {o: 6, h: 1, j: 3, r: 4, z: 1, d: 4}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (7063437 - 7063437 + 8167*j)*(-3*j - j + j) as s + z*j**2 + v*j and give z.\nAnswer: -24501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-5\/2)*f*f*f)\/(f*f\/(f*f**41)*f))\/((f**(-21)*f)\/(f*f*f**(-6\/11)\/f)))**(-1\/2) assuming f is positive.\nAnswer: f**(-1319\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1428 - 2207. Let d = -288 - j. What are the prime factors of d?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4270502 by 5.\nAnswer: 4270502\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -y - 2*i + 154, 3*y - 233 = -4*i. Let m = -14 - -29. What is the highest common divisor of y and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5378 = d, -3*d = -7*r + 8*r - 2704. List the prime factors of r.\nAnswer: 2, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 200392311?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 + 53.9. Let b = 41 + -40.98. Are b and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -919888\/3 less than or equal to -306629?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4149)\/2*(-5)\/(-15). Let k = -716 - g. What is the common denominator of k and (-54)\/5*(0 - 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12688, 12687, 12686?\nAnswer: 12685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51717 is divided by 17222?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (0\/2 + (50\/230)\/(-1))*(-396)\/(-2970)\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1164243 is divided by 119?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/9)\/((-1)\/(-3))*15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6513609*m**2. Let j(r) = -r**2. What is j(l(o))?\nAnswer: -42427102204881*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 6 = 0, 3*p + 4*b = p + 828. Round p to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 3*h + 2*h. Solve h = w + w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 + -44. Calculate the remainder when -14 + 14 + (42 - p) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 4 - ((-6 - (-7 - -6)) + 6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 29*l**2 + 56*l + 32. Let k be f(-27). Find the common denominator of -87\/148 and (((-3185)\/(-60))\/13)\/(k\/6).\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8*(-7)\/(14\/8). Suppose 0 = -5*w + w + z. Suppose -w*i + 169 + 23 = 0. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2\/3)\/f*f*f)\/(f\/(f*f\/f**10*f))*(f\/((f\/(f*f**6*f))\/f))\/(f*(((f\/(f\/(f*f**(-9))))\/f*f)\/f)\/f*f))**(-28) assuming f is positive.\nAnswer: f**(-868\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 562232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 227*b**3\/6 - 19*b**2\/2 - 34*b. List the prime factors of q(8).\nAnswer: 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-18)*-3*1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 63\/(-28)*24\/9. Let o(r) = -r**2 - 8*r - 9. Let y be o(a). Let u be (0 - y) + 143\/52. What is the nearest to u in -0.4, 0.1, 3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 34) + -43 + 44 + (1 - -2).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28689.\nAnswer: 3, 73, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**2\/9 - 1238*j\/3 - 7436\/9 = 0.\nAnswer: -2, 1859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**3 + 445*o**2 + 28*o - 445*o**2 - 4*o**5 + 0*o**5 wrt o.\nAnswer: -80*o**3 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 129 + (0 + 18 + -35 + 7 - -5)?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22838 - 22836. Solve 4*s + 15 = x, -i*x + 16 = 18 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2275*u + 688626 = -12553*u for u.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -2 (c) 2 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/308)\/((-225)\/210).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - r + 1. Let k(v) = -4*v**2 + 4*v - 5. Let l(g) = 2*k(g) + 9*q(g). Let a be 5\/1 + -4 + -4. What is the tens digit of l(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h = -325 + 61. Suppose 2131 = -h*s + 81995. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49977220?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1123)\/(-9) + 8\/36 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 12*y + y. Let c(h) be the second derivative of h**3\/2 - 6*h**2 + 3*h. Calculate c(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 256 = -2*m, m - 373 = -2*m - i. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 2*y - 3. Let g be s(3). Let d be ((-108)\/16)\/((-15)\/80). Is (-8)\/d - 310\/g a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59607844.\nAnswer: 2, 47, 317063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 1 - 1)*(-a**2 + 2*a**2 + a**2) - 2*a**3 + 5*a**3 + 0*a**3 - 8*a**3 + 10*a**3 + 10*a**3.\nAnswer: 19*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 14*h + 13. Let q(l) be the third derivative of 5*l**4\/24 + 2*l**3\/3 + 4*l**2 + 32*l. Determine 3*a(z) - 8*q(z).\nAnswer: 2*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -33 + (-24 + 4 + (33 - 2) - (2 + 14))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89 or 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(8) + sqrt(32)) + sqrt(475)*-2 - (5 + (sqrt(171) + -1)**2).\nAnswer: -177 - 11*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -4, 5, -24, 1957, -11.\nAnswer: -24, -11, -4, -1, 0, 5, 1957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 + 2 + (-1 + 1 + 1)*(0 + 0 + 2) - 1 - 1 + 3 - 2 - 3 + 7)*(0*k**3 + 4*k**3 - 3*k**3).\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (0 + 10)\/2. Let q(w) = 4*w + 37. Let v(b) = -b**2 + 6*b - 7. Let j be v(5). Let l(c) = c + 9. Let g(h) = j*q(h) + 9*l(h). Give g(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/17? (a) -1 (b) -650 (c) 4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -25, 3, 14, 199, -2, -31 in ascending order.\nAnswer: -31, -25, -3, -2, 3, 14, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2301\/4 + -575. Which is the closest to -1? (a) 5 (b) -18\/7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4*(-4 + 11) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 324 - 264. Let u = i - 45. Calculate the remainder when u is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 51. Is 17 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14479001 to the power of 1\/2, to the nearest integer?\nAnswer: 3805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*y + 4*y - 2*y)*(-3*y + 2*y + 3*y) + 9*y - 26*y + 63*y - 2*y**2)*(0*y - 8*y - 9*y).\nAnswer: -34*y**3 - 782*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (23 + -24)*86*2. Are -160 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 61?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -131, -522, -1165, -2060, -3207, -4606?\n\"Answer: -126*o**2 - 13*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3444 and 924.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 1:09 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 367557581 to the nearest integer?\nAnswer: 19172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a factor of 11275228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d64 + -7?\nAnswer: d5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*-2 + 30580\/(-22). Let h be a\/330 + (-2)\/(-5). Are h and -3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, v: 3}. Give prob of sequence fvvf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 0*c + 1113 = -4*t, -2*c + 4*t - 462 = 0. Let w = 263 + c. Calculate the remainder when 52 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 + 53\/(-1590)*30.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6638.36 + 6761. Let v = -125 + t. Round v to one dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = -5*n + 19. Let q = n + 31. Solve -i = 2*i - q, -i + 4 = 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.5445*-7571\nAnswer: -11693.4095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 9 = w. Let y(u) = -61 + 65 + w*u - 3*u. Calculate y(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4 + 26*t**3 - 213*t**2 + 460*t + 700.\nAnswer: -(t - 10)**2*(t - 7)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q - 2. Let d(k) = k**3 + 8*k + 9. Give -2*d(x) - 9*i(x).\nAnswer: -2*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3691, -7208, -10725, -14242?\nAnswer: -17759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 7 + -15 - 16.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/3728 and -65\/58999794?\nAnswer: 471998352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.3 + 0.3. Let q be (7 - 5)*1\/15. Let p = 1 - 1.1. Sort q, p, k.\nAnswer: k, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 88, 2, 66 in decreasing order.\nAnswer: 88, 66, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c - 23. Let a(t) = 47*t**2 - 38*t**2 - c*t**2. Let h(g) = 2*g**2. Give h(a(i)).\nAnswer: 392*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-14)*(-2)\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 17*(45\/(-10))\/9*-10. Suppose 0 = -6*q - 11*q + d. Solve -4*x - x - 5 = -o, 2*x - o + q = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -4*s**5 + 72*s**4 + 532*s**3 + 1032*s**2 + 576*s = 0.\nAnswer: -3, -2, -1, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3727332*n**3 + 1597036*n**2 + 170985*n - 18.\nAnswer: (14*n + 3)**2*(19017*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -0.2 (c) -1\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4490558 or 4490557?\nAnswer: 4490557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 36234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.706 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -571 - -825. Calculate the remainder when 74 is divided by 4\/(-10) + s\/10.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*r**3 + 15*r**2 - 25*r.\nAnswer: 5*r*(r - 1)*(2*r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**5 + 105*h**4 + 1134*h**3 + 3618*h**2 + 1215*h - 6075 = 0?\nAnswer: -15, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 11:44 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 13. Let y be (r\/(-4))\/(15\/(-100)). Suppose -35 = -5*c - y*n, 4*c + 3*n = 18 + 12. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3\/14872433?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 422, 417, 412?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10780 or -5?\nAnswer: -10780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 7 in increasing order.\nAnswer: -3, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 3, 4, 46, 5, 9, 1289 in decreasing order.\nAnswer: 1289, 46, 20, 9, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2400, -2402, -2406, -2412, -2420, -2430?\nAnswer: -2442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3*(1 + 2 + sqrt(208))*-5)**2.\nAnswer: 6000*sqrt(13) + 49300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 693773937 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171971.\nAnswer: 23, 7477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 332063 to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-42 + 14 + 18)*(h - 2*h + 0*h) + (h + 0*h - 2*h)*(1 - 5 + 6))*(13 - 13 + 8*h) in the form q + k*h**2 + a*h and give k.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60844020 divided by 3.\nAnswer: -20281340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 18 (b) -4 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2184, -7831, -16944, -29523, -45568, -65079, -88056?\nAnswer: -114499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5475332009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.775414 rounded to 2 dps?\nAnswer: 1.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/10)\/((27\/(-6))\/3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -28. What is the nearest to -2\/5 in -12, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -804*v + 17220 = -1419*v for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 2*m - 8. Let r be -1*2\/m + (-8987)\/(-86). What is the highest common divisor of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 + 59.2. Let p = a + -7. What is the biggest value in p, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**3 - 126*x**2 - 14877*x - 252300 = 0. Calculate x.\nAnswer: -29, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen twelths of a millennium?\nAnswer: 13000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 147077479 divided by -3975067\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -6*v**2 + 11*v - 4. Let b be k(5). Let r = 110 + b. Suppose r*z = z + 40. Solve -x - z = -9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 55*h - 52. Let j be g(4). Let q(a) = -175 + 343 - j - 2*a. Let k(n) = -5*n + 5*n - n**2. What is k(q(v))?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60 - -61) + -1 + (1 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24051 (base 7) in base 9?\nAnswer: 8460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 3*n + 6 - 18, -5*n - 2*y = -6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9548853?\nAnswer: 3, 3182951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*(-5)\/(-100))\/((-15)\/24)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - -28) + -2 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -3.1. Let g = 249 - 196.4. Let h = 53 - g. What is the fourth biggest value in h, b, 0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**6\/120 + 4*j**5\/15 + 11*j**2. Find the third derivative of i(f) wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*c - 8 = 0, -5*j + 8 = -5*c - 12. Solve 4*o - j = -7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -88*10\/(-50)*430\/516?\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*x = 279*x - 271*x + 432 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 48993 + ((-30)\/(-75))\/((-8)\/(-140)). Round i to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -17 (b) 2\/29 (c) -2938 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -27, -73, -157, -291, -487?\nAnswer: -757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**3\/n)\/(n*n\/n**(2\/3)*n)*(n**(2\/3))**(10\/9))\/((((n\/(n*n\/(n\/(n\/(n**0*n)))))\/n)\/((n**(-6)\/n)\/n))\/(n**(4\/9)*n**(3\/4))) assuming n is positive.\nAnswer: n**(-367\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010 (base 4) to base 16.\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5160 and 996.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.04 + -0.04. Let a be ((-2)\/6)\/(5\/15). What is the closest to a in t, 2\/13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014 times 2?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/((-1)\/16).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1140794 and 56898?\nAnswer: 297747234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2. Let r(k) be the second derivative of k**5\/60 + k**2 + k. Let j(y) be the first derivative of r(y). Give j(f(b)).\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 151982701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/6)\/(2\/(-8)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79 - 65. What is the greatest common divisor of 14 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -5. What is the smallest common multiple of 279\/(234\/26) + 29 and a?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 50599114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 433145650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37 + -5?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwu when three letters picked without replacement from {w: 2, u: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9936.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**3 + 4*g*w**2 - 297*w**2 wrt g.\nAnswer: 6*g**2 + 4*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a. Let y(i) = 3*i**2 - 13*i + 2. Let h be y(11). Let x(k) = -222 + 15*k**2 + h. Calculate x(m(w)).\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 351 - 3*m - 312 - 14*m. Determine f(-19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v + 97 = a, -5*a + 241 = 141*v - 140*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*k + 2*k**3 + 12224 - 12224 in the form i*k**3 + j*k + x*k**2 + g and give j.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-616)\/(-495))\/(-28))\/(1\/(-3)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*x - 170*x - 67*x.\nAnswer: 38*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00041114214 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 135 + -205. Let x = -67 - u. Suppose -10*g + 9 = -7*g - b, 3*g + x*b - 21 = 0. Solve 8 = -g*t + 2*n, -t = -n - 3*n - 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*l + 39. Suppose -w + 4*w = l. Suppose j = 4*b + 3*j - 10, 5*b - 13 = -3*j. Solve -b*h = w + 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 29*u**2. Let q(z) = -48*z**2 + 23. What is q(o(i))?\nAnswer: -40368*i**4 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-45)\/l**24)\/((l\/l**24)\/((l**(-34)*l)\/l*l)) assuming l is positive.\nAnswer: l**(-79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49 and 437871?\nAnswer: 3065097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 590, 1220, 1850, 2480, 3110?\nAnswer: 3740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1248*d + 28905 = 1953*d for d.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 192*m**2 - 1773 + 1485 + m - 190*m**2 - 3718 to the form p + b*m + t*m**2 and give p.\nAnswer: -4006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-10) - (-2)\/5. Suppose -5*b + 131 = -99. Suppose -5*s + 2*j + 15 = -4*s, -4*s + j + b = w. Calculate the lowest common multiple of 7 and s.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 175740 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 8*f**3 + 13*f**2 + f - 2. Let l(v) = 9*v**3 + 14*v**2 + v - 2. Let q(y) = -y**3 - 36*y**2 - 100*y - 9. Let x be q(-3). Determine x*l(m) + 7*d(m).\nAnswer: 2*m**3 + 7*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4454 = 3*r, -3*r + 183*c = 188*c - 4442. Is r a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 3:46 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + 10?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 84*q**2 + 57*q - 73. Let o be l(27). Suppose 0 = 19*c - 36231 - o. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18674*b**3 + 2705*b**3 + 4542*b**3 - 14265*b**3.\nAnswer: -25692*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -26) + -32 - (-42 + -18).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 5*z**2 - 5*z - 5. Let d be g(-4). Let p = 77 + -74. Sort d, p, 5 in ascending order.\nAnswer: d, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57407 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12294360*m + 12294360*m - m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5 - 659*b**4\/3 - 2249*b**3 - 4095*b**2 + 9662*b\/3 + 3344 = 0 for b.\nAnswer: -209, -8, -3, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13167274 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -57499 or -57500?\nAnswer: -57499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3 + sqrt(432)*4 + 5)**2.\nAnswer: 768*sqrt(3) + 6976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 3. Let g(j) be the first derivative of 4*j**3\/3 - 8*j + 43. Give 3*g(r) - 8*h(r).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (196\/(-14) - 86)*2\/30*-6?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r + 2*d = 214, 182*r - 35*d = 180*r - 13 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 8*c + 752 = -89*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 32730 = -6*a - 32697, 10*a - 7*a - 14 = -v + 7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -85 + 80. Let r = 0 - w. Suppose -5*f = -4*h - r, -f + h = -2*f + 1. Solve c + 6 = f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 s, and 1 y when three letters picked without replacement from uubxsuyqqxxxbxxqbxx?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/36)\/(((-21)\/2)\/(-7))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1.1, 5, -2339, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*k + 3*r = -230*k - 7065, -2*k - r = -7053. Calculate the remainder when 3543 is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 9*j. What is the biggest value in j, 1\/9, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.06 - -1.94. Let u = 12.19 + -12. Let p = u - 0.19. Put n, p, 1\/5 in descending order.\nAnswer: n, 1\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zfrrc. Give 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: Calculate the remainder when 28633 is divided by 3558.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-10) - (-215)\/(-25). Let p = -4 - b. Solve -5 = p*s + 15 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 7:58 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 12*y + 432. What is k(-32)?\nAnswer: -976","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2184 and 4872?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - -7 - (3 + -5). Let t = 12 - p. Solve 5*d = 4*b - 10, 0 = 5*b + t*d + 3*d - 35 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 1. Let p(l) = -l + 2. Let m(s) = 46*s + 238. Let o(y) = -m(y) + 9*p(y). Calculate 220*h(f) + o(f).\nAnswer: -55*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -h - 3*p - 2, -4*p - 12 = 2*h. Suppose 2*r - 1 = z, 0 = 2*r + r + 5*z - 8. What is the first derivative of -n**2 - r + h + 20*n - 20*n wrt n?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9*(4 - (-69)\/(-18)). Which is smaller: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 3*o - 15, 1 = -3*o + 5*s + 16. Suppose 12 = -o*z + 9*z. Suppose -4*x + 249 = 3*n, n - x = 73 + z. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 104*s = 38*s - 58*s - 248 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 + -89. Let i(m) = -y*m**2 + 2*m**2 - 2 - 3*m**2 - 201*m + 205*m. Let c(k) = 4*k**2 - 5*k + 2. What is -4*c(o) - 5*i(o)?\nAnswer: -o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jr when two letters picked without replacement from rrj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1249 - -1252. Solve 0 = -5*g - b*q + 9, -5*g + 5*q + 3 = 18 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -2748.3413?\nAnswer: -2748.3413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.17297 and -0.1.\nAnswer: 0.017297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0281422 to 5 decimal places.\nAnswer: 0.02814","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 - 4*h**2 + 4*h - 1. Determine n(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8a8 (base 13) to base 2\nAnswer: 10111010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-63)*(61614\/(-810) - -77)\nAnswer: 14\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(91\/32)*(-973)\/8340?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15 - -110)*33\/5. Suppose -z = -427*u + 424*u. What is the highest common factor of u and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4870a + -3?\nAnswer: -48712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -696 at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 6*102\/44 - (-21)\/231?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63871513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5551499423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*1\/3*3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (60\/(-50))\/6 + (-18191)\/(-5). Suppose 4*a = -5*r + 4537, 3*r = -r + a + w. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 78 = 8*k - 3*k, 0 = j + 3. Suppose 5*r - 419 = 4*g - 1450, 0 = r + 3. What is the remainder when g\/10 + k\/(-25) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -1\/6 (c) 2 (d) -0.86 (e) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2385 and 270565.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 9) + 5 - (-37)\/1. What is the third derivative of 29*g**2 - 6*g**6 + 2*g**6 - m*g**6 - 7*g**2 wrt g?\nAnswer: -4440*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*s. Let c = 1 - s. Calculate the remainder when (-1)\/(-2)*86*c is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 278 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 933, 1862, 2793, 3726, 4661, 5598?\n\"Answer: y**2 + 926*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35 - 16354132?\nAnswer: -16354064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 123*y + 3 + 113*y - 235*y. What is c(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 671094190?\nAnswer: 2, 5, 13, 1187, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 2:53 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -602 + 603. Let s be (-2)\/8 - b\/(-4)*409. Sort s, -4, -1 in decreasing order.\nAnswer: s, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6168*y + 8331*y - 9122*y - 8307*y - 5535*y as m*y + l and give m.\nAnswer: -20801","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 7*x - 1. Let i be k(-7). Let m(l) = -3*l**3 - l - 1. Let d be m(i). Solve 0*b - 7 = -b - 3*w, d*b + 4*w - 16 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.04 + 0.04. Let z = 9.0000118 + c. What is z rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 38, 70, 100, 128?\n\"Answer: -p**2 + 35*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44528 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -70, 0.023, 4\/5?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 5170 = 760. What is the highest common divisor of 2135 and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1802, 2382 in ascending order.\nAnswer: -1802, 1, 2382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*g + 319 = -101 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187 - (0 - (-3 + 2)).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v. Let u(k) = 811323*k. Determine z(u(c)).\nAnswer: -1622646*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**2 + 9880*x + 29595 = 0. Calculate x.\nAnswer: -1973, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-19)\/(-57) - (1 - (-3100)\/(-6)). Let w = -466 + p. Calculate the least common multiple of w and 14.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-2)\/6*3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-450080)\/(-44805))\/388*((-30)\/8)\/5.\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -117 - -120.05. Let q = h + -0.05. Let j = -1 - 0. Which is the nearest to j? (a) q (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 3*y - 2*y)*(45 + 237 + 15).\nAnswer: -594*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 67, 160, 253, 346?\n\"Answer: 93*i - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -179 divided by 156085?\nAnswer: -179\/156085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r - 7 = 10. Let i(u) = -3*u - 21. Let z(h) = 1. Give r*i(c) - 18*z(c).\nAnswer: 3*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 59335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/106491 and -125\/3523884?\nAnswer: 38762724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - d + 4*d + 3*d.\nAnswer: 6*d - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20229 is divided by 3942.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**3 + 13*h**2 - 18*h - 14. Determine v(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 356, -16, 5, -8, -79 in decreasing order.\nAnswer: 356, 5, -8, -16, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.2512+5\nAnswer: 5.2512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 5*u**2 - 3. What is the tens digit of n(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 73, -966, -3893, -9686, -19323, -33782?\n\"Answer: -163*n**3 + 34*n**2 + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/10)\/((-8)\/400). Let t be 61\/5 - 12\/w. Solve -y + 4*y = -t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) -2\/7 (b) 2\/11 (c) -0.08 (d) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 441*f - 436*f - 38, f = g + 3 + 7 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 12*b + 96 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379 - 14 = -95*i - 13 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o + 1. Let w = -50 + 57. Let p be -1*14\/2 - (-7)\/w. Give u(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7092273124 to the nearest integer?\nAnswer: 1921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 8*a + 7. Let v be x(-7). Suppose -t + 17 + 16 = v. Let p(n) = -t*n + 19*n + 16*n. Let k(y) = y. Calculate p(k(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x. Let r(f) = 2*f**2 - f - 1. Let s = -14 + 13. Determine s*r(w) - d(w).\nAnswer: -2*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8 + (-6)\/(-3) + 3. Let f be (-10)\/j*(-6)\/(-5). Let t = -19 + 21. Sort -1, f, t.\nAnswer: -1, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -3.5. Let i = -33 + 29.6. Let u = -4.4 - i. What is the nearest to u in d, -3, -1\/6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(2\/5)*c)**(-28)*c**(-9)\/(c\/(c*c**(-3)*c))*(c**(-9)\/c**(4\/7))\/(c**(1\/2)\/(c**(-6)\/c)) assuming c is positive.\nAnswer: c**(-6669\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = o - x, 2*o - 5*x + 7 = -0*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 251457 and 74181?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 60*v - 58*v - 9, 2*c = -2*v + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -0.258547?\nAnswer: -2.741453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -t + 4*c, -647*t + 605*t + 304 = -2*c for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**0*v\/(v\/((v*v\/(v*v**(4\/7)))\/v)))\/(((v*v**0*v)\/v)\/v**2))\/((((v*v**(2\/3))\/v)\/v)\/(v**(-2\/5)\/v))**(-2\/33) assuming v is positive.\nAnswer: v**(5174\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/43)*j)\/(j*j*j*(j\/j**(-19)*j)\/j*j) assuming j is positive.\nAnswer: j**(-988\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -450, -448, -444, -438, -430, -420, -408?\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144) + -5*sqrt(144))*-2)\/sqrt(12)*-3)\/(-5*((sqrt(100) - 2*sqrt(100))*6 - sqrt(100))).\nAnswer: -24*sqrt(3)\/175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/557775977 and -34\/9?\nAnswer: 5019983793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72 - -43. Let g(x) = 2*x**2 + 236*x - a*x - 121*x. Let f(y) = -11*y**2. Calculate f(g(l)).\nAnswer: -44*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -30, -53, -80, -111, -146?\n\"Answer: -2*w**2 - 17*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30090604 is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 781395667?\nAnswer: 13, 17, 211, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + 1)**2 + 1)*-4.\nAnswer: -1592 - 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times -321834?\nAnswer: -2896506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2236 - -439636.\nAnswer: 437400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (4\/55)\/(470\/5170)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-8\/9)*f*f*f\/((f**3*f)\/f)*(f**2\/f)**(-1\/27))**(-30) assuming f is positive.\nAnswer: f**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.11138 months to millennia.\nAnswer: 0.003092615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(0 + 0 - a) + (0*a + 0*a - a + (-2 + 3 - 3)*(-2*a - a + 4*a) + 0*a - 3*a + a)*(455 + 1071 - 156).\nAnswer: -6852*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*c - 399*c + 3700*c.\nAnswer: 3488*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -39, 22 in decreasing order.\nAnswer: 22, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*k, 5*k = 9 - 4. Suppose 19 = -j*f + 44. Calculate the highest common factor of 20 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 85601.52km?\nAnswer: 85601520000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8381 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 227.1 - 227. What is the closest to 1 in -0.1, u, 0.014, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 48*z + 14. Calculate l(-1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 0.3. Let r = -35 - -35. Let k be 354\/1320*5 + 10\/(-8). Which is the nearest to r? (a) 3 (b) l (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + q - q**4 + (-9*q + 52 - 52)*(4 - 4 - 2*q**3).\nAnswer: 17*q**4 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 200, 218, 240, 278, 344?\n\"Answer: 2*i**3 - 10*i**2 + 34*i + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 3*a + 13. Let w be p(-5). Let u(h) = h + 1. Let y be u(4). Suppose -v = -4 + 1, -4*z + y = w*v. Sort 5, z, -3.\nAnswer: -3, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + b + 1. Suppose 6 - 2 = -4*j. Let u be l(j). Let y(f) = f - 1. Let w be y(u). Let s(v) = -2*v**3 - 4*v**2 - 3*v. Determine s(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1589.2 from -0.074.\nAnswer: -1589.274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-5 + (1*(4 + -2*sqrt(11) + sqrt(11)) - (sqrt(704) - (2 + sqrt(704))*-3)))**2 + -3).\nAnswer: 1386*sqrt(11) + 36075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1295\/2 - 647. Let v(r) be the first derivative of 0*r - n*r**2 + 4. Let y(q) = -3*q**2. Give v(y(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 18 = 3*a, b + 3 = -2*b. Suppose 0 = 11*m - a*m. Solve -3*q + 4*q = m for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 3:45 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-616)\/52 + (-4)\/26. Let x be 98*3*(-14)\/o. What is x rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6462 and 56722?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o + 0*o**3 + 2 - 2*o**3 - 1. Suppose -36*i - 195 = -101*i. Let h(j) = 2*j**3 + 2*j - 2. What is i*h(q) + 4*c(q)?\nAnswer: -2*q**3 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 22*o + 852. Let y be h(-38). Which is the biggest value? (a) -0.9 (b) 1\/4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 984, 1948, 2912, 3876, 4840, 5804?\n\"Answer: 964*r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q + 10. Suppose -l + 37 = 3*d, d = 4*l + 37 - 3. Suppose 9 = -v + 4*t - d, 0 = -3*v - 2*t - 13. Calculate w(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2 + -2 + -1)\/((-1)\/277) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**5\/90 - w**4\/18 - w**3\/3 - 5*w**2\/9 - w - 2. Find z, given that n(z) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*b = -44183, 66277 = 6*k - 59*b + 64*b. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((16 + 0 - 7) + (3 - -42) + 3)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 4*c + 8264, 0 = 2*c + 198 - 190. What are the prime factors of i?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -3*h**7\/70 + h**4\/24 - 89*h**3\/6 + 51*h**2. Differentiate d(s) wrt s.\nAnswer: -36*s**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/(10\/((-400)\/(-15)))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -117108025 divided by -676925\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 36 = -10*n. Let f be n*2*7\/(-14). What is the smallest value in f, -2, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 1 = -2*q, 0 = -7*q - 14 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/472 and 55\/426.\nAnswer: 100536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*i - 3. Suppose 4*u - 5 - 11 = 0. Suppose -u*v = -0*v + 4, r - 3 = -i*v. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8446, -16417, -23912, -30925, -37450, -43481?\n\"Answer: m**3 + 232*m**2 - 8674*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -159 + -37\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15815 is divided by 208?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 18. Suppose -4 = -x*u + 4. What are the prime factors of 2\/(u + -2) + 36?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*w - 1060 = -70 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 to the power of 1\/10, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*y**3*z**3 + 2*y**3 + 9*y**2*z**3 - 397*y**2*z**2 - y*z**3 + 3*y*z**2 wrt z?\nAnswer: 144*y**3 + 54*y**2 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 + 3*c + 4. Let w be (24\/6)\/(-1)*-1. Let v(m) = 2*m**2 + 2*m + 3. Give w*v(x) - 3*j(x).\nAnswer: -x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 274 and 189563338?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -887619, -887617, -887613, -887607, -887599, -887589?\nAnswer: -887577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1611 + 14691 = -418*j for j.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 7:50 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1344\/36*4\/(-16))\/(3\/(-1)). Put 4\/5, 4, d in descending order.\nAnswer: 4, d, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4604 = 602*a - 2570 - 6672 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -8*u**2 + 70*u + 2. Calculate i(7).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wat when three letters picked without replacement from {l: 5, a: 1, w: 2, t: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*n = -2, 12 = -2*j + n - 5*n. Let d = -659304 - -659306. Solve x = d*x - z - 2, -j*x = -5*z - 16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11011111101111 (base 2) to base 5\nAnswer: 424234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 769835329 to the power of 1\/3, to the nearest integer?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-2\/7)*l*l*l)\/l)\/l*l*l*l*l\/(l\/(l\/l**3))*l)\/(l*l**2\/l)**10 assuming l is positive.\nAnswer: l**(-121\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*b = -76, 3*b - 5*b = 8. Suppose -q*g + 3834 = -14*g. What is the highest common factor of g and 284?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 58*y + 2. Let h be f(1). What is the common denominator of (-83)\/(-90) - -2 - 12\/h and -41\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(77)*5*5)\/((sqrt(66) + -6*(sqrt(66)*-2 - sqrt(66)) + sqrt(66) - sqrt(66))\/(sqrt(30)\/sqrt(20))).\nAnswer: -125*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (8\/(-10))\/((-4)\/(-30)). Which is the closest to -0.06? (a) 0.3 (b) w (c) 3\/2 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21658)\/(-35) + (4\/5)\/(-1). Suppose k - 22 = 4*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/3266 and 17\/138.\nAnswer: 9798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -15*x. Let r(y) = y**2 + 47*y + 552. Let i be r(-26). Let w(m) = -m. What is i*f(q) - 102*w(q)?\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1)*(7 + -12 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111101101010001111 (base 2) to base 6.\nAnswer: 5225131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 153339055 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07855855 to three decimal places.\nAnswer: -0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*w - 5703, -12*u + 16*u - 22812 = 4*w. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6*d**3 - 5*d**2 - 4. Let h(q) = 5*q**3 - 4*q**2 - 3. Let w(x) = -5*h(x) + 4*s(x). Let t(i) = -5*i**3 - i**2 - 5. What is -t(y) + 3*w(y)?\nAnswer: 2*y**3 + y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of a**6\/360 + a**3 + 3. Let h(m) be the third derivative of x(m). Let v(w) = -3*w**2. What is h(v(k))?\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88.38 + 88.4. Which is the third smallest value? (a) 5 (b) 0.8 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -1\/24*c**4 - 2*c**2 + 1\/2*c**3 + 0 + 0*c. What is the derivative of i(t) wrt t?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 8. Differentiate -2 + 1 + 4*f - 1 + u wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1337 (base 8) in base 16?\nAnswer: 2df","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 68040372 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 19. Suppose -t = 4*m + 31, -4*m - 25 = 3*t + 4. What is the units digit of n(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82 + -53. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33408 and 3552?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - ((-5)\/2)\/5. Let i(z) be the second derivative of -2*z + 0 + s*z**2 - 1\/6*z**3. Calculate i(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18*32\/640*-20.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24884505 a multiple of 1085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**2. Let i(p) be the second derivative of -p**4\/12 + 5*p**3\/6 + p. Let j be i(4). Let n(g) = -5*g + g + j*g + g. Give n(f(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 4 + (50 - 47) + -14?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-53 + 124 + 13)*((27 - 22 + 23)*(-2 + 2 - o) - 6*o + 4*o + 3*o) as s*o + l and give s.\nAnswer: -2268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - sqrt(99)*2*1) + sqrt(99) + -3*-2*sqrt(99) + sqrt(99))\/(sqrt(9)*-1*6*-3*4).\nAnswer: 7*sqrt(11)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s + 13. Let k(r) = r + 4. What is -7*k(f) + 2*y(f)?\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.1, 1\/3, 0.7 in descending order.\nAnswer: 4, 0.7, 1\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4, 2\/5, -974?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 691.33 and 27.1?\nAnswer: 664.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - o + 1. Let u = 9 + -14. Let p(w) = -6*w**2 + 8*w - 5. Let d(y) = u*z(y) - p(y). Find the second derivative of d(x) wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 278340 or 278388?\nAnswer: 278388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-72)\/28)\/(-6))\/(15\/(-105))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.5 + 4. Let u = 0.5 - v. Which is the third biggest value? (a) -1 (b) 0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -587 - -1759\/3. What is the biggest value in 6, m, -1\/4, 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 5*n**4 - 425*n**3 + 2510*n**2 + 115440*n = 0.\nAnswer: -13, 0, 24, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2321*j**3*n*p - j**3*p + 5*j**2*n*p - 4*j*n + j*p - 1521*j - p wrt j?\nAnswer: -13926*j*n*p - 6*j*p + 10*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.26 take away -0.1938635?\nAnswer: -15.0661365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8237.22 meters?\nAnswer: 8237220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, -4, 1, -6, 4 in decreasing order.\nAnswer: 4, 1, -4, -6, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -79171357 - 0.3\nAnswer: -79171357.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -105\/8, 4\/11, 1\/7, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00046291 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-84)\/9)\/(-7)*3. Solve i + 4*u + 5 = -4, 4 = 4*i - h*u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.12, -3, 4?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 - -67. Suppose -a*s + 2435 = -3*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/6 + 2\/(-3). Let q be ((2 - w) + 1)\/1. Let h be (0 - 0) + q*3. What is the highest common divisor of 12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*x + 4 = x, 2*x - 8 = -2*n. Let w(l) = 4*l**3 + l**2. Let g be w(-1). Let z be n\/(-4)*1 - g. Solve z*k - 6 = -y - 22, 3*y + 2*k + 20 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/12*(-4)\/5)\/3. Let z = 15 - 9. Let o = z + -6. Which is the nearest to x? (a) -0.5 (b) o (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3023 less than 3447227?\nAnswer: 3450250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 - 11*z - 21. Let t be r(-5). Let c(i) = -7*i**3 - 5*i**2. Let h(w) = 22*w**3 + 16*w**2. Give t*c(p) - 5*h(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p**3 - p**2 - 3*p + 19. Give d(3).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 676?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 15, 2 = 4*g - 0*g - 2*t. Let j = 9 + g. 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 9 + (-3 - (10 - -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 14 = -3*h. Calculate the remainder when 11 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 32*c + 256. Let u be b(14). Let q = 2 + -1. Suppose q = -w + 3. Solve u = -w*i + 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*o + 239 = 0, -3*o - 348 = -5*n - 77. Suppose 5*p - 136 = -g, -p = -5*p - 2*g + 104. Calculate the highest common divisor of n and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/2*(2 + -1). Suppose -a*r = r. Suppose 0*p + 2*p - 74 = r. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**2 - 7*z - 4. Let q(l) = l**2 + 4*l + 3. Let c(g) = -5*q(g) - 2*r(g). Calculate c(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/6*-28*(-23)\/46.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -135.599651 - -135.59. What is z rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/43 or -0.23?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00108345384 rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -49a82b7 - -3?\nAnswer: -49a82b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqciqqqqicqdcq. What is prob of picking 2 c?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2352716.499933 + 2352724. Let f = -2 - -9.5. Let b = m - f. What is b rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 36209*z. Let t(u) = -2*u. Calculate t(j(a)).\nAnswer: -72418*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34582?\nAnswer: 2, 17291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpj when three letters picked without replacement from {o: 1, a: 1, d: 2, j: 1, p: 1, m: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -9. Put -5, 0.2, 0.01, a in ascending order.\nAnswer: -5, 0.01, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2291 - -2286. Which is bigger: i or -555?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2697*3\nAnswer: 8091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11446000 rounded to the nearest one hundred thousand?\nAnswer: -11400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 + 17*f + 15. Calculate u(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m - 19. Let q(i) = -12*i + 59. Calculate -17*c(r) - 6*q(r).\nAnswer: 4*r - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 285*d**2 - 2 + 2 - 323*d**2 to z*d**2 + h + c*d and give z.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 246943000 to the nearest one million.\nAnswer: 247000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 7*n**2 - 3*n. What is d(8)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 1562.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6*o**4 - 2)*(3 - 2 - 3)*(-1 + 2 - 4) - 4 + 4 - o**4.\nAnswer: 35*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 8:33 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 0 (c) -3\/4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 2:07 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {w: 1, t: 7}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264058 is divided by 31.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**3 + 4*u**2 + 4*u + 5. Let j be t(4). Let p = j - -66. Calculate the remainder when 44 is divided by p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 153 + -161. Is (-2*(-36)\/r - -4) + 18334 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1.705, -3, -0.2, 1\/4 in descending order.\nAnswer: 3, 1\/4, -0.2, -1.705, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6440 and 210.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6880 and 7.\nAnswer: 48160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + n = 8, -16 = p - 3*n - 0. Put 3, p, -2, 2 in decreasing order.\nAnswer: 3, 2, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a (base 16) in base 7?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/((-4 + 46\/8)*58\/(-203)). Let r be 225 + 1 + (-1)\/1. Calculate the greatest common factor of s and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-12\/11)\/p*p*p\/(p**(2\/17)*p) assuming p is positive.\nAnswer: p**(-39\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 101152 to the power of 1\/2, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -11, -8, 2.\nAnswer: -36, -11, -8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9.22239034 and -0.5.\nAnswer: -9.72239034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 10*b + 7*b - 11*b in the form p*b + i and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2097\/149 - -176727\/7897. Which is smaller: 37 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1835.\nAnswer: 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 9 - 7*n**2 + 10*n**2 + 3*n to p*n**2 + c*n + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 884 is divided by 56?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 0 + 13 + (3 - 18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5283 = 6*b + 4827. What is the remainder when b is divided by 2 - -4*(8 - 2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**3 - 2*b**2 - 239*b - 2. Let i(l) = 8*l**3 + 7*l**2 + 1008*l + 9. Give 9*a(z) + 2*i(z).\nAnswer: -2*z**3 - 4*z**2 - 135*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 19\/2 (c) -2\/15 (d) 0 (e) -3\/4 (f) -1\/2 (g) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -6*y**4 + y**3\/3 - 9*y**2\/2 - 12*y + 68. Is l(-2) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109 - 39*x + 13*x**2 - 23*x**2 + 8*x**2 - 47 - 62.\nAnswer: -2*x**2 - 39*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from llllxllxllxl.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6468 and 594.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2011 + 2016. Which is the second biggest value? (a) i (b) -0.03 (c) -2\/5 (d) -119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**3 - 42*z**2 - 153*z - 162 = 0.\nAnswer: -9, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**3 - 10095*p**2 - 10100*p = 0. Calculate p.\nAnswer: -1, 0, 2020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189860?\nAnswer: 2, 5, 11, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 1673*h = -1674*h - 16, 21 = -m - h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(432)*-2*-3 + (1*(sqrt(432) + 1))**2) - (4*-2*sqrt(3) + 2 + -3*-2*sqrt(147)).\nAnswer: -868 - 226*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1101668 is divided by 129.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 8. Suppose -a*f = -9*f + 215. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**3 - 33*o**2 + 2*o - 1. Let x be p(11). Suppose -x*g - 108 = -48*g. What is the remainder when 42 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 222\/5 - 44. Let b = 2.5 + -2.5. Is u greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -p**4 + 110*p**3 + 22.\nAnswer: -4*p**3 + 330*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of 3*r**4\/2 + 13*r**2 + 6*r. Differentiate b(y) wrt y.\nAnswer: 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 415598793 from -1.\nAnswer: -415598794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23767 is divided by 5907.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**3 - 3*b**2\/2 - 13*b. Let w = -35 - -37. Suppose 0 = -w*m + m - 3. Let h(v) = -13*v - 7. Give m*h(z) + 7*k(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 5. Let k = -140 - -133. Sort 1, m, k, -4.\nAnswer: k, -4, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**4 + 55*u**2 - 90*u + 40 = 0. Calculate u.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10104, -40651, -91524, -162723, -254248?\nAnswer: -366099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -30 + 7 + -9 + 9.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -112 - -296. Let t = k + -64. Let u = -114 + t. Which is smaller: 3\/5 or u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.0463 take away -2670?\nAnswer: 2617.9537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 900001.7 millilitres?\nAnswer: 900.0017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 869.\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**5\/20 + 7*z**4\/12 + 5*z**3\/6 + 2*z**2 + 33*z. Give n(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 10*b = b + 27639, -b - 6 = 0. Calculate the remainder when m is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/2)\/(-1)*-30*61\/(-6405).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19324013?\nAnswer: 211, 91583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**3*z)\/z)\/z**(-12))\/(z**50*z**(-9\/5)) assuming z is positive.\nAnswer: z**(-166\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.91 - 15.91. Let d = -14 - j. Sort 0.4, -1, d, 1\/4 in descending order.\nAnswer: d, 0.4, 1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixiiiiixixiixiiixx. What is prob of picking 2 i?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ceacacavecaeeeab. What is prob of sequence aaa?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27436267.9877 + -0.65.\nAnswer: 27436267.3377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/16411?\nAnswer: -2\/16411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*m - 3*s - 2 = -191*m + 102*m, 5*s + 8 = -2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -999, -1009, -1071, -1185, -1351, -1569, -1839?\nAnswer: -2161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -17*k**4\/4 - k**3\/3 - k**2\/2 + 1. Let u be r(-1). Round u to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2092*d**3*q**2 + 17*d**3*q - 198*d**3 + 49*d*q**2 - d*q + 3*q wrt q?\nAnswer: 4184*d**3 + 98*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-990)\/27)\/(-7 + 12 - 3)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 3*m = -2*i - 17, -i - 22996*m = -23010*m - 44 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 19.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2597 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -5*a**4 - 55525*a**3 - 67879465*a**2 + 135925525*a - 67990530 = 0.\nAnswer: -9706, -1401, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5 = -3*i - 4*j, -3*j + 6 = 0. Let p be 68\/16 + i\/12. Suppose -34 = p*a - 5*n + 37, -5*a - 5*n - 55 = 0. Is -15 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 2930 (c) 0.4 (d) -2 (e) -192\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-12)\/(-90))\/((-4)\/(-2))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4572 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847212 a multiple of 473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 4*i. Let s be (-1)\/3 + (-16)\/6. Give a(s).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*6\/(-18)*3*5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/3 - 2425*r\/3 + 808.\nAnswer: (r - 2424)*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*d = -47894 + 11390. What is the greatest common divisor of d and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y + 43. Let d(n) = -47*n**2 + 2. Give d(l(x)).\nAnswer: -188*x**2 + 8084*x - 86901","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 6, -1, -2\/139?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420*a = -264*a - 1652*a - 83*a + 7257 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -7*w, -p - 2*w + 1639 = 0. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181969 to the power of 1\/2, to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, m: 1, e: 2, p: 1, a: 5, x: 1}. What is prob of picking 2 a and 1 m?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 10*w + 11. Let p be q(-9). Suppose -2*y = p*y + 4*g - 484, 347 = 3*y - g. Let f = y + -40. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x + 145 = 12*x. Let j = x + 34. Solve 8 = -f + j*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 342617, 685229, 1027841?\n\"Answer: 342612*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.2412181 rounded to one dp?\nAnswer: 60.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 3\/4, -14, 0.94 in ascending order.\nAnswer: -14, -0.3, 3\/4, 0.94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 5. Let p be 12\/24*(-1 - 5). Let q be b(p). Let u(t) = -4*t + 3. Give u(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 37 - 1 - 6*(-6)\/12. Let l = -24 + b. Which is smaller: l or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*u + 9009 - 977. What is the tens digit of u\/(4*5\/(-40))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -4. Solve 2*m + 28 = 7*m + x*b, -5*b = -5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1530614 and 0.5?\nAnswer: 1530613.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 r when three letters picked without replacement from rrrrwwwwrwwrwwwrrr.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 - 35. Suppose -5*a = -5*o - 255, -172 + y = -3*a + o. Does 20 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 61 = -3*l. Suppose 2*z - 24 = l. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3946 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjeffjjjvvjjajvjjjje. Give prob of sequence vaf.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/12 in 0.1, -8\/7, -2\/7, 1, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -112311290*d**2 + 2*d + 78286408 wrt d?\nAnswer: -224622580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i + 1. Let v(f) = -2*f + 2. Determine -2*q(d) + 3*v(d).\nAnswer: -2*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 6056.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9471267*p**2 - 71589455*p.\nAnswer: 18942534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 231432, 463387, 695342, 927297, 1159252?\n\"Answer: 231955*p - 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 w when two letters picked without replacement from {w: 2, k: 9, z: 1, v: 6}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 112\/8 + 3 + -10. Solve 8 = j*b + b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3666\/(-195520))\/(1\/(-10))?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72496705?\nAnswer: 5, 541, 26801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*t = 26, -s + 2*t + 16 = -0*t. Let c be (-9)\/(-27) - 20\/s. Suppose 0 = -3*h + 2*h + b - 12, 0 = -4*h - 5*b - 39. Put h, -1, c in descending order.\nAnswer: -1, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-133)\/(-76)*8\/(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 139*r + 8. Let f(i) = -35*i - 2. Let y(q) = -12*f(q) - 3*n(q). Let u(c) = -223*c**2. Give y(u(x)).\nAnswer: -669*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*q - 2 + 2.\nAnswer: 37*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 29*w**2 - 1. Let y be z(-1). Suppose -29*m + y*m = 0. Solve m = -3*a - a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 24. Let l be c + 2 + (8 - 4 - 7). Solve l = -2*f + f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 280 and 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o + 16 + 0*o - 3*o**2 + 6*o + 4*o**2. Let u be f(-8). Let l be (u\/24)\/((-2)\/(-30)). Which is the second biggest value? (a) l (b) -1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15708)\/165*(75\/6)\/(-5). What is the highest common factor of k and 224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 0.3705, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1445, 1477, 1509, 1541, 1573, 1605?\n\"Answer: 32*j + 1413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a - 4*a + 16*a**3 - 30*a**3 + 17*a**3 + 2*a**4 as i*a**2 + v + n*a + t*a**4 + b*a**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*c + 2371 = -4069 - 1687 - 7983 for c.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 10, t: 2}. Give prob of picking 2 t.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b - 132 = -12*b. Let i = 219 + -207. Calculate the greatest common divisor of b and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0278 times 159.348?\nAnswer: 4.4298744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v - 7. Determine y(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 3*y + 1. Suppose i + 4*i + 27 = -3*b, -3*i - 5*b - 29 = 0. Let z be k(i). Let m(f) = 37*f**3. Is m(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**5\/60 - i**4\/3 + 5*i**2. Let o be l(-7). Let g = 4 + o. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3680*n**5 - 6773230 - 11*n**2 + 19141*n**5 + 6773346 wrt n.\nAnswer: 927660*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 225042.2nm?\nAnswer: 0.0002250422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 4388007?\nAnswer: 17552028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 51838157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -6 + u + 7\/2*u**2. What is the units digit of g(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.25 (b) 0.5 (c) 4 (d) -53\/3 (e) 12 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 205.5 + -29.5. Let y = d + -174. Which is the nearest to y? (a) -2\/9 (b) 3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2175780, 4351562, 6527344, 8703126?\nAnswer: 10878908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20 + -24?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 129 and (6\/6*(-10)\/20)\/(1\/(-516))?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -4643.\nAnswer: -1\/4643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-2)*4\/(-16)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*((-460)\/15)\/(-4). Let o = -16 - k. Suppose 422 = o*g - 5*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(85\/(68\/(-4))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -29592319 to the nearest 1000000.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 8:16 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2182819487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 12:59 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 802206 and -0.841851.\nAnswer: 802205.158149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, -1\/8, 8, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-10) - (-3322)\/55. Suppose 5*n - 10 - a = 0. Suppose -n*p + 75 + 653 = 0. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*c - 827980, -4*c + 143554 = -5*q - 684421. What is c rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/56)\/((-21)\/(-42))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 1\/6*t**3 + 0 - 3*t**2 + 0*t - 1\/12*t**4. Differentiate b(x) wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cqkcjqcncqhq.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i\/(i**(-1)\/i))\/i*i)\/i)\/i*i)**47*(i*i**0)**3 assuming i is positive.\nAnswer: i**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 215023348 divided by -22577.\nAnswer: -9524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 13. Suppose -5*t + 3*i = -0*i - 16, 4*i + 6 = -t. Sort h, 1\/4, t in decreasing order.\nAnswer: t, 1\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 696 and 2610.\nAnswer: 10440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 7*j - 7. Let v be h(-8). Suppose 0*f - 22 = -2*f. Let s = v + f. Calculate the highest common factor of 8 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2113 - 1751. Solve 0 = -c + 357 - w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3833 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: Let z = 9 + -4. Suppose z*u - 112 = u. Suppose 3*b = -7 + u. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18816700 and 13440500.\nAnswer: 94083500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 l when four letters picked without replacement from {l: 13, k: 6}.\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 23*q - 4. Let w(l) = -3*l. Give d(w(v)).\nAnswer: -69*v - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 243 (base 7) to base 10.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -2*h**2 - 18*h + h**3 - 3\/10*h**5 + 1\/15*h**6 + 1\/6*h**4 + 0. Factor i(m).\nAnswer: 2*(m - 2)*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 - -115\/2. Let s = f + 4. Factor -s + 1\/4*a**2 - 1\/4*a.\nAnswer: (a - 2)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 2\/3, 2.8, 1, 6\/11, -7\/12?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -318707*i + 580314.\nAnswer: -318707","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7989231 and 2051?\nAnswer: 55924617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6\/23 (b) -1\/2 (c) 60 (d) -1950 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 278716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, u: 5}. Give prob of sequence ufuf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -596*c**4*q**3 + 1308*c**3*q**3 - 1796231*c**2*q**3 wrt c?\nAnswer: -14304*c*q**3 + 7848*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -68, 0.5, -10465, 3 in descending order.\nAnswer: 3, 0.5, -68, -10465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -v - 6. Let p be (v\/(-24))\/(3\/(-8)). Which is the third biggest value? (a) -0.5 (b) p (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 {g: 4, i: 8, j: 4}. What is prob of picking 2 i?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 5. Let w be p(5). Let f be (2\/4)\/((-6)\/(-4))*6. Solve -y - f*y = w for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 4 = -u. Solve d = -4*w - 10 - 5, 3*w = -u*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -377d37 + 3?\nAnswer: -377d34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, v: 2}. What is prob of picking 3 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(5) - (-1*sqrt(245))**2) + (sqrt(5) - (sqrt(5) + (sqrt(5)*2)**2)) + -1.\nAnswer: -270 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -0.5 (c) 1\/8 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -6*x - 11. Let v(h) = 3*h + 6. Give 4*b(g) + 7*v(g).\nAnswer: -3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58299003 + 2622022292\/45. Let v = 26928 - -4915. Let j = b + v. Calculate the common denominator of j and 19\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.30104 plus -4181.7?\nAnswer: -4186.00104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/3)*k)**32\/(k**(2\/13)\/(k*k**(-3)\/k)) assuming k is positive.\nAnswer: k**(1541\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**4*d*d)\/(d*d**(4\/5)))\/(d*d**3)**(12\/5) assuming d is positive.\nAnswer: d**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -1. Calculate the remainder when 47 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28732 is divided by 422.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-826615)\/(-3) + -2 + 1. Let n = -180201301\/654 + i. Let o = n - 1\/109. Sort -0.1, 0.5, o, -4\/5 in descending order.\nAnswer: 0.5, o, -0.1, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78036, -78045, -78068, -78111, -78180, -78281, -78420?\nAnswer: -78603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -151927, -303859, -455791, -607723, -759655, -911587?\n\"Answer: -151932*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44026518 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1))\/(r\/r**(-5\/8)) assuming r is positive.\nAnswer: r**(-13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4)*(-23)\/(-2415)*-21*330.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -510532, -1021143, -1531754, -2042365?\n\"Answer: -510611*n + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 109*n - 362*n + 24*n - 164*n in the form q*n + i and give q.\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -2, -4, -5 in ascending order.\nAnswer: -5, -4, -2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -173241.99982 - -173249. Let y = -5.3 + 12.3. Let c = y - g. Round c to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132839917307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 51\/15 - (-3)\/(-1). Let h be -1 + ((-33)\/27)\/(-1). Sort h, w, -1\/4.\nAnswer: -1\/4, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61.96 + -56. Let c = 6 - p. Suppose -42*m - 10 = -44*m, 3*v - m = -2. Is v <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1564 + 7818\/5. What is the nearest to -1 in 4\/9, w, 211?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) -1.2 (c) 63 (d) -2\/147 (e) 2\/11 (f) 5 (g) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + (-16 - -11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 139*x + 1646. Give r(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a factor of 30234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 22075 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6661 is divided by 683?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-20)\/(-120) + 1907\/6 + -2 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1225))\/(sqrt(70)\/(sqrt(10) - sqrt(90))))**2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 5*a = 66*a - 737 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**2\/2 + s - 3. Let m be i(-4). Suppose 7 = 4*y - m. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 140 - (-4 + 4)\/3. What is the highest common divisor of v and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 851023*t**4 - 407286.\nAnswer: 3404092*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 31. Let h be v + 4 - (-79 - -9). Let j be (-10)\/(4\/(-6) + 0). What is the greatest common divisor of h and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 0 (b) -3 (c) 0.5 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1750 and 1890.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jejjejj. What is prob of sequence jje?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - u**2 + 19. Suppose -b - 4*b = 0. Is j(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 20*h + 23*h - 5*h - 3 = 0, -3*b + 9 = -4*h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 2*k + 1. Let x(f) = -f**3 - 10*f**2 + 3*f + 5. Let r(z) = 4*g(z) - x(z). Let p be (-3)\/(-12) + (-42)\/8. Determine r(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**3 + p + 1. Let r be y(-1). Suppose 6*t = r*t + 270. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 11*r**3 + 5*r**2 - 516*r + 3. Let s(h) = 3*h**3 + h**2 - 13*h + 1. Give -q(c) + 3*s(c).\nAnswer: -2*c**3 - 2*c**2 + 477*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 2125*x**2 + 192034*x + 906920.\nAnswer: -(x - 2212)*(x + 5)*(x + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -427*s + 451*s = 17712. What is the highest common divisor of 36 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77594.\nAnswer: 2, 11, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 123\/12 - 3\/12. Let x = -6 + j. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 12746\nAnswer: -5098.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4 = k + 4*k, 0 = k - 5*s + 12. Is k smaller than -6\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 3174 = -7*s. Suppose 5*z = 2138 + s. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2821 - 2820. Which is the closest to -1\/3? (a) u (b) -3\/7 (c) 5 (d) -18\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggi when three letters picked without replacement from {g: 13, i: 6}.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 11*f**2 + 13*f + 31. Determine x(-13).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 109999885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-2))\/(2\/12). Let d(j) = 4*j**2 - 6*j + 6. Is d(h) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**4\/2 - 2*i**2 + 3*i + 4. Suppose -2125 = -30*a - 295. What is the remainder when a is divided by c(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 496 - 296. Is r a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 0*a + 2*a - 20, 0 = 2*v + a - 15. Is 1510\/6 - (-9)\/((-135)\/v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**2 - 2*c**3 - 4 + 2 + 0*c**2 to the form r + k*c**3 + t*c**2 + x*c and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 1705*x - 36243. Calculate o(21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1020, -921, -824, -729, -636, -545?\nAnswer: -456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 182*y - 1030. What is the remainder when 299 is divided by q(6)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000705 rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/2 + 2*c**2\/3 + 13*c\/6 + 1.\nAnswer: -(c - 3)*(c + 1)*(3*c + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-3 + 0 - -1 - (-7 + 1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 3 - 2*w)*(4 - 4 - 1)*(8 + 3 + 5) in the form b*w + c and give b.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 42441 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 w, and 1 n when four letters picked without replacement from {w: 4, a: 6, n: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 65*t + 60*t = 17, 5*z = -t + 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 4*b = -112. Which is smaller: b or -55?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -80 - 14?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(3\/4)\/(i\/(i\/(i*i**(-8))))*(i\/(((i\/(i**(1\/2)*i))\/i)\/i)*i*i)**2 assuming i is positive.\nAnswer: i**(75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s**3 - 53*s**2 - 5 + 14*s + 42*s**2 + 0*s**3 + 4*s**3 + 0*s**3. Let b be w(10). Solve 8*g = -3 + b for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/4)\/o*o)**26*o**(-5\/3)\/(o\/o**(2\/3))*((o\/o**0)\/(((o\/o**5)\/o)\/o))\/(o\/o**(-3)*o**(-3)*o*o) assuming o is positive.\nAnswer: o**(69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/35)\/((-32)\/112)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 123039 and 931.\nAnswer: 114549309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 42 = -5*t, -2*v - t + 28 = -2*t. Find the second derivative of -30*l**2 + 16*l**2 + v*l**2 - l**4 + 9*l wrt l.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {w: 1, c: 4, q: 2, k: 3, n: 3, m: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 25, 45, 71, 103, 141, 185?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0)**(-35)\/(f\/(f**(-1\/6)*f)*f**0))**(-8\/5) assuming f is positive.\nAnswer: f**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*m - 5*m - 6*m)*(0 - 3 + 4)*(4*m**2 + 2*m - 2*m) to o*m + t*m**3 + k*m**2 + x and give t.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-192)\/(-88) + -4 - -2\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 3:39 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 79472395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 6\/743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.4783521 * 0.25\nAnswer: -0.369588025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t - j = 101, 3695*t - 3699*t = 2*j + 48 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68 - -34. Round a to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**5\/5 + 151912*t**4\/5 - 5769162021*t**3\/5 - 11538931698*t**2\/5.\nAnswer: -t**2*(t - 75957)**2*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 + 77*v + 422. Calculate i(-32).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, e: 4, j: 6, h: 7}. What is prob of picking 2 e, 1 h, and 1 j?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2*0*1. Let l = -2 + 5. Let t be (-10)\/(-3)*(-6)\/4. Which is the nearest to g? (a) t (b) 1\/6 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 16104?\nAnswer: 80520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 + -25. Let i be 3\/15*0 + 12. Suppose -42 + 162 = i*u. What is the lowest common multiple of c and u?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 55 = -53. Suppose -3*s + 6*s = l. Solve -15 = -3*i, s = -n + 2*i - 0*i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428220.\nAnswer: 2, 3, 5, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 - 199\/3. Sort k, -3, 0 in increasing order.\nAnswer: -3, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/10)*((f\/f**0)\/f)\/f*f*f\/((f\/f**8*f)\/f)*f*f**(-9)\/f*f assuming f is positive.\nAnswer: f**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43137433?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/3, -4, 1\/13, 0.3, -2\/5, 2\/3, 3676?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 115 (b) -6 (c) 1\/3 (d) 5\/3 (e) 55\/12 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -4*u - 20. Let d = u + 49. Suppose -5*v + 39 + 51 = 0. Calculate the remainder when d is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2. Let w(p) = p**2 - 2. Let k be w(-2). Let r(b) = 3*b**2 - 2*b**2 - b**2 - b**k. What is f(r(l))?\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 16*u + 57 - 59 in the form v*u + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1941 + 1)*(-19 + 21). Let v = z + 6837. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 9, c: 2}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 122751803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 99.8 + -99. Let j = 79.665 + -79. Let w = j - m. Round w to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15410 is divided by 7636.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/65*1\/(168\/21)\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1525.187 days to microseconds.\nAnswer: 131776156800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44014*i**3 - 586*i - 64 wrt i.\nAnswer: -264084*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2173, -15, -32 in decreasing order.\nAnswer: -15, -32, -2173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4468600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**2 + j + 180. Does 28 divide a(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001087414 rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 26*n = 650. Solve 10*w = -0*w - n for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341*x = -337*x - 164. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 446 - 215. List the prime factors of m.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -2\/75, -0.02, 0.4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-12)*-4*-3. What is the third derivative of -33*w - 17*w**5 + 33*w - 16*w**h wrt w?\nAnswer: -1020*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(0 + -3 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-2)\/9)\/(148\/333)*3\/(-7)\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 15136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -31*x - 877*x - 449*x - 42*x. Let g(s) = 2*s**2. Give m(g(f)).\nAnswer: -2798*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1130 - 467. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/1305 and -17\/10.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2438.288 rounded to the nearest 100?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*m**4 + 23*m**4 + 7 - 20*m**4 wrt m.\nAnswer: -48*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p - 1. Let y be d(-6). Suppose -4*j - 4*q + 60 = 0, 5*q + y = 3*j + q. Solve 3*u = 3*g - 9, 5*g = u + 3*u + j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -109*o - 54. Suppose 52 = 4*z - 2*r - 8, 3*z = -4*r + 67. Let b(c) = 36*c + 19. Let x(i) = z*b(i) + 6*q(i). Let k(f) = 3*f. What is k(x(j))?\nAnswer: -126*j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -6. Suppose -4*k + q*k - 4 = 0. Let p = 133\/3 - 44. Which is the closest to p? (a) k (b) 1\/2 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/24*(-3)\/(-2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.8 - -3.721. Let v = z + -0.021. Which is the closest to -1? (a) 0.2 (b) -0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) - 5*-1*sqrt(40))\/(sqrt(32) + -2*sqrt(32)) - (sqrt(5) + -3*(sqrt(125) + sqrt(5)) - (3*sqrt(55)\/sqrt(11) - sqrt(5))).\nAnswer: 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14, 57, 130, 233, 366, 529?\n\"Answer: 15*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61*g**4 - 26*g**2 + 55*g**4 - 176*g**2 - 221*g**2 + 164*g**4 wrt g?\nAnswer: 3792*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -79 or -83?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6018.6013 - -6019. Round y to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 8. Suppose -4 = -3*z + v, 2*v - y*v = -z - 17. Differentiate -4*r - 6 + 0*r - z*r wrt r.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00128001441 to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 71276707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 283787 a multiple of 1376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 4*w - 22. Suppose 2*t + 24 + 4 = q, -3*q + 52 = 2*t. Suppose 0 = 61*o - 63*o + q. Calculate the remainder when b(o) is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 36*w**2 + 4*w + 9. Let q be s(-3). Let f = q - 316. Solve 2*o = f*j + 12, -3*j - 8 = -0*o - 2*o for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154 and 1309?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/(-8) + 11\/(-44). Let s be u\/(-16)*2*6. Suppose 10 = 2*q + s*q - l, 4*l = -q + 2. Calculate the remainder when q is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 244996*z**5 - 5*z**4 + 6*z**2 + 63509*z + 1.\nAnswer: 14699760*z**2 - 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/7492 and -21\/10.\nAnswer: 37460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 + 24*t - 1. Let s be w(0). Let l be (-19)\/57 + 4\/6. Sort 0.01, l, s.\nAnswer: s, 0.01, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -2 - (-9)\/8. Let d = -268\/9 + 30. Which is the third smallest value? (a) d (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11553 and 3508403487.\nAnswer: 11553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + f. Let t be (11 - 0)*(27\/(-3))\/(-3). Suppose -3*d - 4*j = -t + 9, -j = -4*d + 13. Give h(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*x - 3*x + 11*x. Solve 2*m - 2*k = 0, x = 5*m - 3*k - 0 - 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - 1. Let l(k) = -1. Let p(s) = -2*h(s) + l(s). Suppose -3*n + 8*n = 5. Calculate the remainder when 6 is divided by p(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2152556539?\nAnswer: 7, 41, 7500197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -19 + 26 - (-2)\/4*-4. Suppose 4*c - u*n - 33 - 34 = 0, 4*n - 66 = -2*c. Does 23 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -2\/9, -0.39, -5, -227 in decreasing order.\nAnswer: -2\/9, -0.39, -1.1, -5, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -131*j**2 + 124*j.\nAnswer: -262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 70616680.\nAnswer: 70616676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 18*g - 7. What is v(-1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -136, -195, -238, -259?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -523*u + 87. Let l(n) = 264*n - 43. Let s(i) = -6*h(i) - 13*l(i). What is the first derivative of s(k) wrt k?\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 19*z**2 + 21*z + 58. Let n be p(-18). Let t = 32.8 - 30. Let c = t + -3. What is the third smallest value in 2, n, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5600 and 96800.\nAnswer: 677600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k - 1. Let w be ((-3)\/(-123))\/((-2)\/14). Let v = 473\/369 + w. What is the common denominator of t(5) and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.7 + 19667974891.58.\nAnswer: 19667974882.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.5 and 11685.\nAnswer: 17527.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*h - 5. Is 14 a factor of (1\/h + -2)*-75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/981 and 30\/351743?\nAnswer: 3165687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -575808\/715 + 10456\/13. Calculate the common denominator of x and -22\/425.\nAnswer: 4675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -2. Suppose 3*t - 86 + 74 = -3*j, 2*t + 12 = 3*j. Solve -3*d - 13 = -t*l - 2*l, -a*d = 2*l + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8920677 nanometers to kilometers.\nAnswer: 0.0000000000008920677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 424 + -426. What is the fourth biggest value in o, 3, 0.014, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.03, -34, -1.22, -3, -1\/4?\nAnswer: -1.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Factor -9*m**3\/2 - 63741*m**2 - 84985*m\/2 - 7082.\nAnswer: -(m + 14164)*(3*m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -35\/31 (c) -3.5 (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2144 (base 8) to base 3\nAnswer: -1112122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -41 + (-9 - -4 - -15)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -163*f**3 + 12*f**2 + 23*f + 8. Let x(g) = 163*g**3 - 14*g**2 - 25*g - 9. Let y(o) = 7*r(o) + 6*x(o). What is the second derivative of y(m) wrt m?\nAnswer: -978*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 0, -1\/2, -33\/5, 2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 94 and 22?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.2 (b) -866 (c) 3 (d) 9 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15661*x - 3776*x + 19435*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -23 and -22?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/2 - 2113376*r\/3 - 469639\/2.\nAnswer: -(r + 1408917)*(3*r + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15327724507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15352882?\nAnswer: 2, 239, 32119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -459 - -456. What is the biggest value in h, 9\/2, -2\/9?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 + -0.3. Suppose 5*s + 27 = 4*l, 2*s = -3*l - s. Let h = -0.178129 + 0.178129. Which is the closest to -1\/3? (a) z (b) l (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 72*p - 40858*p**2 - 72*p + 38882*p**2 in the form h*p**2 + g*p + j and give h.\nAnswer: -1976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 55, -1, 0, 33 in ascending order.\nAnswer: -1, 0, 5, 33, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -864 + 846 = -3*s - 5*i, -4*s + 24 = 2*i for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -u - 0*j + 4, 5*j + 1 = 2*u. Let c be 23\/4 - u\/(-12). Suppose -c*w + 3*x - 22 = -2*w, -w = -4*x + 12. What is the second biggest value in w, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -549 + 558. Let u = -1 + 1. Which is the third biggest value? (a) -1\/6 (b) u (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 + -38. Suppose 260 = 4*x + x. Suppose 5*g + x = 137. What is the common denominator of g and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (81\/24 + -3)\/(6\/(-4)). Which is the second smallest value? (a) -5 (b) m (c) 0.3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**3 + 3*x**2 - 5. Let t(v) = v**3 + 2*v**2 - 3. Determine -3*f(l) + 5*t(l).\nAnswer: -l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + k + 51 - 172 = 0, -3*k + 3 = 0. Let m(w) = -w**3 + 6*w**2 + 9*w. What is the remainder when h is divided by m(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2970 divided by 297?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -l - 1, 4*l + 4*k + 785 = 773 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 14*y - 19*y + 15 - 18*y**2 + 0*y**3 + 15*y + y**3. Let a(i) = -i**3 + 17*i**2 - 10*i - 15. Let g(l) = -6*a(l) - 5*o(l). Calculate g(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(2\/2*261\/3)*6\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 306?\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.019472 and -8?\nAnswer: -0.155776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -71*(-27169)\/38198*2\/(-1).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2949124173?\nAnswer: 3, 29, 33897979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 236292?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**3 + 1536*r**2 - 245868*r - 497872 = 0.\nAnswer: -1682, -2, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 - 87*a**2\/2 + 436*a + 1050.\nAnswer: (a - 75)*(a - 14)*(a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 19 - ((-7)\/((-14)\/(-4)))\/2. Suppose 20*p - a = 19*p. Solve 5*v + p = -0*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + (sqrt(190) - ((sqrt(190) + (sqrt(190) - (sqrt(190) + -1*sqrt(190))) + sqrt(190))*1 + sqrt(190))) + sqrt(190))\/(-1*sqrt(640)).\nAnswer: sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 270 = -38. Suppose -2*w = c + 2*c - b, -114 = -4*w - 5*c. Suppose -10*t = -8*t - w. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 35*d - 130. Calculate m(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 263, -2818, -5889, -8944, -11977, -14982, -17953, -20884?\n\"Answer: k**3 - k**2 - 3085*k + 3348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = 579*r - 567*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i - 8*i + 1 + 5*i + 10*i to the form b*i + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13262496 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: 484 * 28.5\nAnswer: 13794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2936017 and 6608.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9410.845t to milligrams.\nAnswer: 9410845000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**2 - 4. Let h(s) = s**2 + 6*s + 2. Let u be h(-6). Let z(w) = -2*w**u + w - w. Determine y(z(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(20))*3.\nAnswer: 6*sqrt(5) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 28 = h, -4*h + 40*q + 228 = -43*q + 46*q for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*h**5\/5 + 813806*h**4\/5 - 27595144186*h**3\/5 + 9196120842*h**2\/5 + 73585242752*h\/5 + 36793163912\/5 = 0. Calculate h.\nAnswer: -1, -2\/3, 2, 67817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwv when three letters picked without replacement from wwvccwvwbvvhvh.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 8*q**2 - 19*q + 60. Determine g(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 - t. Give l(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -6*d + 2. Find p such that -27*p + 0*p - 10 - 4*p**3 + 16*p**2 + 11*p**3 + 14*p**d = 0.\nAnswer: -5, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -3*f, x - 337*f + 2 = -334*f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 35*l + 196. Give q(0).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -31*y**7\/105 - y**5\/30 + 38*y**4\/3 - y**3\/3 - y**2 + 418*y. What is the second derivative of s(o) wrt o?\nAnswer: -744*o**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pttttptttpppttptpppp. What is prob of picking 4 p?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*w = -30*w + w + 106 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1689.714 rounded to the nearest 10?\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2. Suppose l*h - 5*j = -5*h + 180, 141 = 4*h - 3*j. Let f = h - 19. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6375, -6373, -6371?\nAnswer: -6369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73075 = 886*d + 21727 for d.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-8) - (-86)\/8. Let t = 0 + -3. Let b = t + y. Solve 5 = 5*u - 3*q, 3*q - b = -23 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8865 + 8869. Which is the second smallest value? (a) -2\/3 (b) 66 (c) 2 (d) 0.5 (e) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-14) + -2)*(-2 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111010 (base 2) in base 14?\nAnswer: 1d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i - i + i + (2 - 2 - 16)*(i + 3*i - 5*i) - 4 + 4 - i + (5*i - i - 3*i)*(-2 - 1 - 1) + 0*i - 4*i - 8*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, q: 12}. What is prob of picking 1 q and 1 b?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 168?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 61079377181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and -6 - (7 + (-86)\/2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13.1 in -1\/4, 5\/3, 1\/7, -2, -3\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 1:36 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5 = -0*y. Let a = y - 5. Let q = a - -9. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, x: 1, g: 10}. Give prob of sequence hgg.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 21 = -m. Let z = 43 + m. What is the remainder when (-42)\/(-91) + 3999\/39 - 1 is divided by z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 1108*f - 378*f - 372*f - 359*f.\nAnswer: -f + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 188 or 0?\nAnswer: 188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5368078?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 10 - 40*c**2 + 12*c + 0 - c**3 + 29*c**2. Calculate the remainder when w(-12) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + (0 + 1*(-1*sqrt(91))\/sqrt(7))*-3)*-1.\nAnswer: -3*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(1\/2)*p\/(p**(-1\/10)\/p))\/(p*((p\/(p\/p**1*p))\/p)\/p*p\/((p\/p**(-1\/10))\/p)) assuming p is positive.\nAnswer: p**(37\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - s + 72 = 0. Suppose 16 = f - 2*u, -5*f + 4*u + s = -4*f. What is the remainder when 12 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*3\/9 - -2. Find the third derivative of -8*o**2 - 3*o**2 + 7*o**b - 4*o**2 + 10*o**3 wrt o.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25453 is divided by 128?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 883.3049 litres in millilitres?\nAnswer: 883304.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5190 + 57140\/11. Find the common denominator of 59\/5 and z.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 3*r**2 - 3*r + 4. Let l be a(-4). Suppose 3*c = -l*c + 135. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + 3 - 3)*(-b - b**2 + 0*b - 7*b**2) as o + x*b**2 + n*b**3 + z*b and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**2 - 14*q - 15. Let s be f(-1). Suppose -210 = -2*o + s*d, 0 = -o + 7*d - 9*d + 105. What is the highest common factor of o and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*t**6*x + 3*t**5*x**3 - 51*t**2*x**3 - 2*x**3 wrt t?\nAnswer: -240*t**3*x + 180*t**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -1) + 6 - 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, 4, 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1839, -1814, -1773, -1716, -1643, -1554, -1449?\nAnswer: -1328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - 26. Suppose 2*k = 2*b, f*b - 3*k + 3 = -0*b. Suppose -365 = -5*i + w - 38, 0 = i - b*w - 57. What is the highest common divisor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46*n*t**2 + 55*n*t - n*u + 2*t**2*u - t**2 - 128*u wrt n.\nAnswer: -46*t**2 + 55*t - u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 56*l + 5. Let u be y(-2). Let j = u - -109. Suppose 0 = -3*s + 2*o + 185, 7*s - 2*s = -j*o + 303. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + j = 33, j - 12 = -107*q + 105*q. Solve -4*d - 3 = 3*u, q*u + 6 = 2*u - 3*d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a millennium in decades?\nAnswer: 1225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 561 > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 15648909?\nAnswer: 4\/15648909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43*u*y**3 + 3*u*y**2 - 73*u*y + 17*u - 290*y**3 + y**2 - 158*y wrt y.\nAnswer: 258*u*y + 6*u - 1740*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmmtcfwktmmtttt. Give prob of picking 1 m and 2 t.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*n + 135*n + 43*n = -6849 - 691 for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/4 of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 2 - (10 - 13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2779024793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 4:06 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 10:51 PM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6100706.\nAnswer: 2, 157, 19429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23131 - -121212102?\nAnswer: 121122311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - m + 2. Let a be g(0). Let k = 1 + 2. Let p = 5 - k. Is p at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11754.562 to the nearest one hundred.\nAnswer: -11800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150192 and 609112.\nAnswer: 10964016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 b when two letters picked without replacement from bkbbkbkbkkb?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -164*o + 2776. What is the units digit of i(-66)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*(sqrt(121) + sqrt(121)*-2 + sqrt(121)) + sqrt(121) + -6*2*sqrt(121))\/(-2*(sqrt(22)*1)\/sqrt(2)) + -2)*6)**2 + 2.\nAnswer: -792*sqrt(11) + 12125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, -2\/9, 2, -5, -2\/23.\nAnswer: -5, -2\/9, -2\/23, 0.9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 2*w = 64, 5*m - 7853 + 7788 = 5*w for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47121, 47131, 47141, 47151, 47161, 47171?\nAnswer: 47181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.05 (b) 0 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 - 8*b**2 + 4*b + 6. What is the units digit of a(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 95. Is 38 a factor of d(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183456568?\nAnswer: 2, 22932071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 8470 = -2*l + 4*l, 0 = 3*i + 2*l - 12701. List the prime factors of i.\nAnswer: 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12, -53, -136, -273, -476, -757, -1128?\n\"Answer: -2*d**3 - 9*d**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, u: 7}. What is prob of sequence xuuu?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/4)\/i)**(-37)\/(i*i\/i**(3\/4)*i**1))**(10\/17) assuming i is positive.\nAnswer: i**(440\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*o + 3*y = -120*o - 12, -3*y - 12 = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 1 - 1)*(1 - 5 + 2)*(6 + 0 - 4)*(6 - 1 - 1 + (1 - 3 + 0)*(-1 + 3 + 1)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 76020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-154)\/36*(-6)\/4. Let i = 17\/3 - a. Sort 1, i, -20 in descending order.\nAnswer: 1, i, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/43)*q**16)\/(q**(-2\/7))**(-33))**(-45) assuming q is positive.\nAnswer: q**(-89640\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + t + 5 = 0, n - 25 = -3*n + 5*t. Suppose 7*f = f + 12. Suppose f*a = -n*a + 4. Solve -8 = -a*b - 0*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9564563 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: ((-64)\/(-96))\/(4\/(-42))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*k**2 + 188*k**2 - 95*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 142*g**3 - 1 - 138*g**3 - 18*g - 13*g**2 + 14*g**2 to n*g**2 + b*g + i + h*g**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*d + 28 - 78*d + 86*d**2.\nAnswer: 86*d**2 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -2*k**6\/3 - 4*k**3\/3 + 5. What is the third derivative of f(v) wrt v?\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.07198231 and 2?\nAnswer: 1.92801769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3 + 0 + 4 - 2 + (-4 + 4 + 1)*(-1 + 2 - 4) - 1 + 2 + 0 + (48 - 1 + 0)*(-3 + 0 + 1) + 3 + 0 - 1 + (-2 - 1 + 1)*(1 - 3 + 1))*(3*x + x - 2*x).\nAnswer: -182*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244241?\nAnswer: 467, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 + 37. Let c(q) = 5*q - 13. Is c(b) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2576*d - 12915 = -15491 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23337.\nAnswer: 3, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 17*l - 10 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.1752 + 0.1752. Let n = -0.06 + -0.34. What is the nearest to 1 in c, n, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4\/3 - 1273*z**3\/3 + 11023*z**2\/3 + 12459*z - 7095 = 0. Calculate z.\nAnswer: -645, -3, 1\/2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.14 + 0.14. Which is the third biggest value? (a) f (b) -1\/4 (c) 2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 938496 is divided by 312823?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -12551316 at least as big as -12551321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*w - 306, -4*m - 5*w = -286 + 1. Suppose -m = -2*y + 283. List the prime factors of y.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45*c**5 - 8*c**3 + 9*c**2 + 40 wrt c.\nAnswer: 2700*c**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 5 = -2*h, 6*n + n = -5*h + 4*n + 205 - 222 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*i + 995 + 1156 = -111*i + 621 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 523428413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*t - 9 = 0. Let s(w) be the second derivative of 0*w**2 + 0*w**t + 0 + 0*w**4 - 1\/90*w**5 - 2*w. Factor s(b).\nAnswer: -2*b**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -w + 4*w + 537, b + 5*w = 275. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 458 and 1832?\nAnswer: 1832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l + 24. Let y be o(-9). Let b(k) = -k. Let m(t) = t**2 - 3*t. Calculate y*b(j) - m(j).\nAnswer: -j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/10 and 139\/336.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/3 + 6154057*d**2 + 18462170*d\/3.\nAnswer: d*(d + 1)*(d + 18462170)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/414)\/(((-2)\/5)\/(51\/(-170)))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**9\/504 + 5*u**8\/112 - 59*u**5\/20 + 5*u**2 + 19*u. Find the third derivative of c(t) wrt t.\nAnswer: 120*t**3 + 900*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 54 = -o + 4*l, -2*o = 4*l - 100. What is the second derivative of 2244*v + 2 - 2 - 2253*v + o*v**2 wrt v?\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + g**2 - 3*g + 2. Let t be w(1). Do t and -1\/88 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s**2 + 4*s - 2. Let i be t(5). Suppose 4*x + 18 - 389 = -3*b, -600 = -5*b - 3*x. Let l = i + b. Find the common denominator of l and -77\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4280372567.\nAnswer: 127, 33703721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 8*b**2 - 2*b + 5. Let u(a) = 4*a**2 - a + 2. Give -9*u(m) + 4*y(m).\nAnswer: -4*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 4 (c) -5 (d) 0.97\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, s: 4, o: 2, k: 3, q: 2, v: 1}. Give prob of picking 1 o and 1 v.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1544.346 microseconds?\nAnswer: 0.000000017874375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -6. Suppose -4 = -j*r + 4. Factor -2\/3 - 2\/3*z**3 - 2*z - r*z**2.\nAnswer: -2*(z + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -299, -645, -1123, -1733, -2475?\nAnswer: -3349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 7*f**2 + 9*f + 1. Let l be x(-6). Do l and -17 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*r + 1. Let b = 145819\/52 + -2804. Let f = -6\/13 + b. Is f greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -37 - (2 + -19 + 3 + -3)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 8152?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 5, -17, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*s + 17, -2*s = -z + 2*z - 9. Put z, -2, 4, 44 in descending order.\nAnswer: 44, z, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*l + g - 36, -4*l = 2*g - 12. Suppose 3*b - 10 = b. Suppose k = b*k. Solve u = l - k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/((-1)\/(18\/(-27))).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 38.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/5 + 96\/15. Suppose -b*s + 9 = -3*s. Solve 2*h - 7 = -s*y, 0 = 8*y - 3*y - 4*h - 41 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1002\/407 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236214.\nAnswer: 2, 3, 11, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 533429.5 millilitres to litres.\nAnswer: 533.4295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 42.9?\nAnswer: 214.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29 - 247*b**2 + 32 - 2*b - 4)*(-4*b + 3*b + 3*b) as k + a*b**3 + i*b**2 + w*b and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 20 + 10 = 0. Let s(f) = f**2 - 2*f + 1. What is the tens digit of s(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*(x*x*(x\/((x\/(x\/(x*x\/((x\/(x*x*x*x**(-2)\/x))\/x))))\/x))\/x)\/x)\/x*x*x)\/x)\/(x*x*x*x**(3\/7)))**(-1\/10) assuming x is positive.\nAnswer: x**(17\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - d - 1. Let p be x(-1). Suppose 5*v - 4 = -5*f + p, -4*f - 16 = 0. Solve v*k = -c + 22, 5*c + 5*k - 4*k = 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.7 - 7. Let m = r - 5. Which is bigger: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93082 divided by -22\nAnswer: -4231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + w + 1. Let s(k) = 3. Let m(o) = s(o) - 3*z(o). What is the common denominator of m(3) and -11\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14297085 divided by 28883.\nAnswer: -495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 499*q - 451 - 110 + 62 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - i**2 + i + 1. Let d(j) = -2*j + 118 + 15*j**3 - 11*j**3 - 122 + 3*j**2. Calculate -d(n) - 3*f(n).\nAnswer: -n**3 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11317709 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1872) - sqrt(1872)*2) + -2)*-6 - (sqrt(1872) + 0 + sqrt(1872) + 5 + sqrt(1872) + 1 + 4))**2.\nAnswer: 144*sqrt(13) + 16852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 2*p. Let u(d) = d**3 + 6*d**2 - 9*d. Let t be u(-7). Suppose 0 = -9*f + t*f. Let y be k(f). Solve -4*o + y*o = -12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 1. Suppose 2*x + 3 = -o + 3*x, -5*o + 2*x = 0. Give s(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-58)\/(-29))\/((-4)\/(-3))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(11\/3))\/t**(-3\/10) assuming t is positive.\nAnswer: t**(149\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3574 times 95?\nAnswer: 339530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 888, 3500, 7874, 14028, 21980?\n\"Answer: 3*m**3 + 863*m**2 + 2*m + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 1 + 3 = 0. Suppose -u*p = 5*t - 10 - 15, -4*p = t - 5. Which is smaller: 27\/5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28256143.\nAnswer: 233, 121271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*r = 5*r - 9, r - 31 = -3*t. Suppose -4*y + t - 7 = 0. Solve -5*u - 11 = -y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzx when three letters picked without replacement from eexzx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -33 divided by -3\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(34*l - 57*l - 25*l)*(-517 + 102 - 399 - 443 + 168).\nAnswer: 104544*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q**2 - 30*q + 104. What is the remainder when o(22) is divided by 41?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(3\/5)*q)**(-2\/39)*q*q**14*q**6*q)**(8\/9) assuming q is positive.\nAnswer: q**(34192\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -32, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-4*sqrt(187))\/sqrt(11) + -4*sqrt(68))**2.\nAnswer: 96*sqrt(17) + 2464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 193278511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 5) to base 9\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 357994442?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -99, -6, -5 in descending order.\nAnswer: 4, 0, -5, -6, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 193, -1, -5 in decreasing order.\nAnswer: 193, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*5*sqrt(27)\/(-2*sqrt(9))*6.\nAnswer: -30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -21*t**4\/4 + 39873*t**3\/4 - 73935*t**2\/2 + 28419*t + 11370 = 0.\nAnswer: -2\/7, 2, 1895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (((3\/(-9))\/(-1))\/(-1))\/3\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + 50. Let n = s - 55. Find m such that -3*m**4 - 4*m**4 - 8 + 0*m**4 + 19*m**n + 4*m**4 - 42*m**2 + 36*m = 0.\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w*w**(-9))\/w)**(5\/6)\/(w**(-5\/8)\/(w**16\/w*w)))**(-9) assuming w is positive.\nAnswer: w**(-717\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 105*u**3 - 20*u**2 - 20*u - 20. Let i(w) = -15*w**3 + 3*w**2 + 3*w + 3. Calculate -3*h(r) - 20*i(r).\nAnswer: -15*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o + 1. Let t(u) = -u**2 - 4*u - 3. Let w be t(-4). Calculate the remainder when s(-2) is divided by -2 + (-18)\/(w - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 181600 or 181598?\nAnswer: 181598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 0 + (2 - 2). Determine r, given that -2 + r**j + 3 - 1 - 3*r + 2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (3 + -11 - -4 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.9 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2. Let q(w) = -44*w**2 + 2*w - 2. Let f(l) = -130*l**2 + 7*l - 7. Let v(t) = 2*f(t) - 7*q(t). Give n(v(d)).\nAnswer: 4608*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 275333 or 275334?\nAnswer: 275333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26359 is divided by 203?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69291559 to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 78, 3, 4, -0.028?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 428457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69896050 divided by -3290.\nAnswer: 21245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*w - 54 = 5*z, -2*w = -5*z - 107. Let c = z + 34. What is the remainder when 21 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4 - (8 + -6 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6706, 7066, 7426?\n\"Answer: 360*l + 6346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/(1*sqrt(9)) - (sqrt(17) + 0 + 0)) + -4 + (sqrt(833) + 1)**2.\nAnswer: 14*sqrt(17) + 830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/6173325 and 44\/17.\nAnswer: 104946525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.03 - -1. Let s = -586.03 - -591. Let x = h - s. Which is the closest to 0.1? (a) 1\/5 (b) 2\/11 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 + -22 - -58) + (-1 - -11) - -26.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(4 + -7 + 4). Let j(g) = g**3 - 2*g**2 + g + 247. Is j(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 976*v. Let q(b) = -2*b - 114. Determine q(n(d)).\nAnswer: -1952*d - 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -15*a**5 + 192*a**4 - 681*a**3 + 396*a**2 + 108*a = 0.\nAnswer: -1\/5, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 133371570 and 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y - 1. Let q(g) = -8*g - 102. Give 3*n(t) + q(t).\nAnswer: t - 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12781, 25566, 38351?\n\"Answer: 12785*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 3*j + 0*j)*(-8587 - 602 + 5253 - 9604 - 6479 - 8979).\nAnswer: -57996*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rklr when four letters picked without replacement from {l: 1, k: 1, r: 11}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 73 - 82*u - 18 - 15 - 18 to d + w*u and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 + w. Suppose 21*j - 3420 = -39*j. Calculate the remainder when j is divided by z(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20117 - -20107. What is the closest to -0.136 in -1, w, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6507?\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 307176.8 millimeters?\nAnswer: 307.1768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.438 times -0.6?\nAnswer: -0.2628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d - 1107 + 1107.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhzhqqjqhjjjszjz. What is prob of picking 1 s and 2 z?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (64\/40)\/((-4)\/(-10)). Suppose 21 = 4*q + p*t - 3, 0 = 4*q - 4*t - 40. Which is smaller: q or 13\/2?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 145 - 71 - 2*s + 2*s**2 + s. Let r(j) = -4*j + 1. What is 5*r(c) + 4*v(c)?\nAnswer: -4*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-1) + (-3 - 44) + 1. Let s = -46 - i. Suppose 4*c - 748 = -4*n + s*c, -2*n + 378 = -c. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097 > 1098?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21937*r**4 - 26256 wrt r.\nAnswer: -87748*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 165 and 25.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(1872) - (sqrt(1872) + sqrt(1872) + (sqrt(1872)*2 - sqrt(1872)))))**2*2 + 5)*4.\nAnswer: 384*sqrt(13) + 59932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 504131 + 5*m**2 - 252071 - 252068.\nAnswer: 5*m**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 793 - 1193 = 0. Let m(t) = -j*t**2 - 2*t + 2*t + 330*t**2. Let p(v) = -56*v**2. What is p(m(w))?\nAnswer: -56*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102322440 by -20464488.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -2 + -15 + 4 + 2 + -5 + -1\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 364 and 1403311.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -5*f + 5, -11*f + 8*f + 3 = -7*t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in -0.47, 2, 2\/7, -4, 0, 0.03?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115 + 20*l**2 - 233 + 118.\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**3 + s**2 - 21*s. Let u = 38 + -40. What is n(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 - -4645258\nAnswer: 4645257.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 655 = 5*j - 0. What are the prime factors of j?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-4))\/(-13*(-54)\/234)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + -4a?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51594709 and 4731.\nAnswer: 1577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/(-15)*130\/(-39). Let p be (0*(-4)\/(-32))\/((-2)\/(-2)). Put p, w, 7 in descending order.\nAnswer: 7, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -1286*p + 1289*p + 24, -2*c = -2*p + 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 44?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 66*n**2. Let k(v) be the third derivative of -v**4\/24 + 12*v**2 + v. Determine w(k(c)).\nAnswer: 66*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9*(-3)\/12)\/(18\/(-96)). What is the smallest value in 0.5, h, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 6:20 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**4\/9 + 391*l**3\/9 + 31*l**2\/9 - 12091*l\/9 - 3910\/3 = 0.\nAnswer: -5, -1, 6, 391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.4, 1.90338, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -122 divided by -5\nAnswer: 122\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 591407.7 centuries to millennia.\nAnswer: 59140.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19743711269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 10:34 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004135 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51473740 by -5.\nAnswer: 10294748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/11 - ((-343)\/(-77) - 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-336)\/(-70))\/24)\/2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/2*(-4)\/3. Let x(k) = k**2 - 5*k + 3. Let g be x(f). Let y(v) = -8*v + 4. What are the prime factors of y(g)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375924063 to the power of 1\/4, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -102*y**3 - 11*y**2 + 2*y - 11. Let l(r) = -68*r**3 - 7*r**2 + r - 7. Let w(v) = -5*f(v) + 8*l(v). Is 17 a factor of w(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13.3 + 14. Let l = -0.3 + c. What is the nearest to -2 in -3\/7, l, 5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 1148.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 12. Let y be (3\/f)\/(-3*28\/(-60)). Which is the third smallest value? (a) y (b) -2\/5 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 13 = -5*c, c = 3*t + 31 - 42 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 659\/4, -14, -3, 3\/53, 0.2.\nAnswer: -14, -3, 3\/53, 0.2, 659\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 322393464 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 10 = -2*t, 5*t + 2*v + 5 = 7*v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 114*g**2. Let o(w) = -6*w. What is a(o(i))?\nAnswer: 4104*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*c = -0*u + 2120, 4*u + 3*c - 1701 = 0. List the prime factors of u.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -239054359*x**2 - 170684613*x?\nAnswer: -478108718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 n, and 1 c when three letters picked without replacement from nmmmbdcunmbmd?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 1) + 0\/4. Let s = 10 - 8. Suppose c = 5*n + 4*c - 9, 5*c = -3*n - 1. Solve n*t = s*t + y for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/44)\/(2\/4)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**3 + 8 - 7 + 12 + 2*a**3.\nAnswer: -2*a**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/22 and 1\/(-2) - (-114)\/(-16).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14114*g*m**3 + 24*g*m**2 + 176*g wrt m?\nAnswer: 84684*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 8*l**2 - 9*l - 11. Let x be b(-7). What is the derivative of 0 - 1 - 5*w**3 - x*w**3 - 1 wrt w?\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0 = 3, -2*y + 38 = -4*b. Let f = 49 + y. Calculate the remainder when f is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83 - -85. Let t(j) = -9*j - 3 + 5 - 21 + p. What is the tens digit of t(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-7))\/(7092\/(-628824))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-15 + (29 - 8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19076927?\nAnswer: 1283, 14869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2098*d**3*m**2 - 9*d**3*m - 7177*d**2*m**2 + 1196254*d*m wrt m.\nAnswer: -4196*d**3 - 14354*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -106 + 88. Let u be 12\/x - 12\/(-45). What is the nearest to -1 in -3, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-3))\/(3*10\/(-45))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sixteenths of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4812027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -8*s - 141. Calculate c(-3).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(130))\/sqrt(10) + sqrt(1300) + 2)*3.\nAnswer: 6 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-5 + (6 - 2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = -4*v - 5*m, 1347*v - 4*m - 60 = 1343*v for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-18))\/((104\/(-120))\/(-13)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/4 + 373*f**2\/4 + 93*f.\nAnswer: f*(f + 1)*(f + 372)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 9\/10, 2, 20?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + a14?\nAnswer: a19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 133, 3, -127, 37 in descending order.\nAnswer: 133, 37, 3, -5, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1144)\/(-3146))\/((-1)\/(-22))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007284259549 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 14.8. Let c = b - 0.6. What is the nearest to 0 in 5, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.3062706 to four decimal places.\nAnswer: 2.3063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -239*r**3 + 14*r**2 - r + 580. Let c be m(15). Round c to the nearest ten thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**3\/3 + 5*a**2\/2 + 4*a. Let g be z(0). Solve -7 = g*c - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 8319 = -3*d, -d + 43*k = 45*k - 2762. What are the prime factors of d?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*p - 3*d + 16 = 0, d = 2*p - 18. Let f = -8 + p. Suppose -30 = 5*x + 3*y, 12 = 3*x - 2*x - 3*y. Sort x, f, 2 in descending order.\nAnswer: 2, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -639 in 1\/3, -0.1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 6*c**4 + 1689*c**3 + 124043*c**2 - 5*c**4 + 4*c**4 - 229520*c - 179*c**3 + 115520 - 11558*c**2 = 0.\nAnswer: -152, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 62217093\/16 or 3888567?\nAnswer: 62217093\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(0*d - 3*d + 5*d) + 140178 - 11151*d - 140178.\nAnswer: -11147*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3990\/5737 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a\/((a*a*a**18)\/a*a))\/(a*a*a\/a**(-3\/4)*a*a*a*a))**(50\/3) assuming a is positive.\nAnswer: a**(-825\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k + 3 - 3)*(-1 - 6 - 9)*(k - 2*k + 3*k) in the form i*k**2 + d + g*k and give i.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -62330 - 0?\nAnswer: -62330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*c**2 + 223*c**2 + 249*c**2.\nAnswer: 386*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2057948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -5. Let y(k) = -14*k + 2. Let w be y(-6). Suppose -w = -q*f - 20. Calculate the greatest common divisor of f and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -32 + (-18 + 4 - (-41 + 25))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28909 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y**2 + 5. Suppose 238*c - 7 = -4*m + 241*c, -5*m = 4*c - 1. Let t(g) = -1. Suppose -4*p + 21 = 1. What is m*r(n) + p*t(n)?\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62 + 59. Let i = -2.01 + 0.01. Let b = 2.2 + i. What is the closest to -2\/5 in b, 1, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 839, 899, 183, -1309, -3577, -6621, -10441?\n\"Answer: -388*p**2 + 1224*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3*h**4 + 696*h**3 - 912579*h**2 + 911880*h = 0.\nAnswer: -680, 0, 1, 447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(147) + -3 + -2.\nAnswer: -2 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 23 = 4*c - 2, -4*c = -4*k - 16 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**3 - 13*y**2 + 23*y - 5. Suppose -5*q - 4*b + 118 = 0, 3*q - 39 = -b + 29. Is x(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/11 - 539143\/(-1815). Let x = d - 297. Let v = 0.11 - -0.39. Put x, -3\/7, v in decreasing order.\nAnswer: v, x, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -95, 2.\nAnswer: -95, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2, -0.12, -0.33, -4?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-14)\/(w*w*(w*((w*w*w**(5\/7)\/w*w)\/w)\/w)\/w)*w**(2\/29)\/(w**(-15)*w))**19 assuming w is positive.\nAnswer: w**(-10203\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 0 + 1\/24*c**3 - 14*c + 1\/48*c**4 - 1\/4*c**2. Factor l(x).\nAnswer: (x - 1)*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14072 is divided by 363.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -3*y - 24. Suppose m + 16 = y*m - 4*b, -4 = -4*b. Suppose 0 = -m*g + 5*t + 888, 2*g + 0*g + 5*t = 414. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*p - 26 = 0, -3*m + 5*p + 7 = -5*m. Let k = 1 + -5. Sort -2, m, k in descending order.\nAnswer: m, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**4\/3 + 3*r**2\/2 - 773*r - 2. Let t(f) = -119*f**2 - 91. Determine 6*t(y) + 182*u(y).\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 2:41 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/13 - (-294)\/234. Factor -i*j + 2\/3*j**2 + 0 + 2\/3*j**3.\nAnswer: 2*j*(j - 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 14668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-4))\/((-25)\/(-40))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p - 13*p - 54278 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sasaajs. Give prob of picking 1 j and 2 s.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(2\/55)\/g))\/(g*g**(-22)\/g))**(15\/11) assuming g is positive.\nAnswer: g**(3954\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 496 = 2*f + 112, -f + 207 = -4*d. What are the prime factors of f?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2. Let h(y) be the third derivative of -25\/24*y**4 + 0*y**3 + 0 + 0*y - 3*y**2. What is t(h(x))?\nAnswer: 1250*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 122 = 491. Calculate the highest common divisor of c and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73853575 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -158, -251, -344, -437?\nAnswer: -530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16593 is divided by 31.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -3 (b) 0.4 (c) -87 (d) 0 (e) 138\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6443 - 6441 - 173*o**2 + 12884.\nAnswer: -173*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6142997 and 18914.\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18d + -e647d?\nAnswer: -e62f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 179332?\nAnswer: 717328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -25*d**4 + 10902005*d**3 - 122099084*d**2 - 102912236*d - 20931312 = 0.\nAnswer: -2\/5, 12, 436069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**5\/7 + 238*l**4 + 119220*l**3\/7 - 496808*l**2\/7 + 71920*l = 0.\nAnswer: -70, 0, 2, 899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2 + 9*z + 5. Let x be k(5). Let c(t) = -t**2 - t + 152. What are the prime factors of c(x)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 7*a + 56. Let q be z(-8). Suppose q = u - 3*v + 12, -8 + 4 = -3*u - v. Solve y - 22 = -4*o, -5*y + u*o - 3*o = -25 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-734.\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5365530 divided by 6?\nAnswer: -894255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 113479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12502790.\nAnswer: 2, 5, 101, 12379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -430094 = -121*j + 107*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 10 + (-7 - -4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**6))\/((s*s*s**(-6)*s*s*s)\/s)*(s**(-1)*s*s)**(-4\/3)*s**(2\/9)*s**1*s\/((s\/s**(-1\/13))\/s)*s\/s**(-3) assuming s is positive.\nAnswer: s**(95\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -19 + (-40)\/(-5 + -3). Sort -2\/9, 1\/3, h.\nAnswer: h, -2\/9, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144\/(-90)*(-20)\/(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*l - 6. Let r = 5 - l. Solve -2*s - s + w = -r, 5*s - 2*w = 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + z**2 - 211*z**3 + 424*z**3 + 50*z - 214*z**3 as o*z**3 + d*z**2 + h*z + i and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*z = -5*z, 0 = 2*v + z - 9. Let h = v + 65. What are the prime factors of h?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39113308?\nAnswer: 2, 13, 223, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -11*z + 12. Let h(s) = -21*s + 30. Let c(u) = 5*b(u) - 2*h(u). Let r(v) = 35*v. Give r(c(x)).\nAnswer: -455*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57523 is divided by 58.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*-1*(-16)\/6. Suppose -4*a + r + 104 = 0. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570889319 divided by 570319?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 834990114 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 257*b - 251*b - 12. Find the third derivative of -2 - 2 + 6 + 2*d**6 + 416*d**3 - 42*d**b - 238*d**3 wrt d.\nAnswer: 240*d**3 + 1068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*t - 125*t = 20088. Calculate the highest common divisor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40426.1 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*b - 2*b + s - 5407, 4*b = -4*s + 4316. Suppose 29*x + 241 = b. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4285982, -8571939, -12857894, -17143847, -21429798?\nAnswer: -25715747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 627922068 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1 (b) -0.5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 6*j**2 + 3*j - 3. What is the remainder when q(3) is divided by (224\/(-168))\/(4\/(-33))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2 - 3*m - 3. Let i be k(-7). Let o = i - -169. Is 89 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-12)\/8*2\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.27 and -296.\nAnswer: -295.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -70.4 + 70. What is the second smallest value in 0, b, -3\/4, 11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-3))\/((-8)\/12). Suppose -d - 2*s - x = -5, 4*d - 5*s = -27. Let k = d - -3. Is 0 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zlzzlzzzzzzlzzzzlzz. Give prob of sequence zlzz.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19178146?\nAnswer: 2, 13, 83, 8887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + 313542?\nAnswer: 313531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6 = 4*p, -10 + 1 = -3*h - 3*p. Suppose -k = 4*l - h, 5*k - 29 = -5*l + 4*l. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9666618?\nAnswer: 2, 3, 13, 123931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4 - 2 = j, -2*s - 12 = 4*j. Let i be (-1)\/1*(s + -3). Do 2 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 142, 328, 552, 832, 1186, 1632?\n\"Answer: 3*n**3 + n**2 + 162*n - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23779 + 23778.973798. Round k to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1082 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5130\/12 + (12\/8 - 4). What is the highest common divisor of l and 340?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*16\/(-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436.72ug in kilograms?\nAnswer: 0.00000143672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*a**3 + 9097*a*u + 29*a - 192306582*u wrt a.\nAnswer: -87*a**2 + 9097*u + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + j = 7*j. Let r(k) be the first derivative of k**4 + j*k**3 + 1\/2*k**2 + 6 + 0*k. Find the second derivative of r(z) wrt z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*1*-1 - 2*sqrt(117)*-4)\/((-1*sqrt(882))\/sqrt(2)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j - 15*j - 1385 + 2155 = 0. Calculate the remainder when 32 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, k: 3, y: 3}. Give prob of picking 2 k.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214691.\nAnswer: 214691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 11:26 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-9)\/(-114)*29\/87?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.239 less than 28.117?\nAnswer: -95.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -64204607 and -64204608 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 d when three letters picked without replacement from {d: 3, z: 4, a: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.09 and 1?\nAnswer: 2.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - ((sqrt(99) - (4 + -1 + sqrt(99))**2) + sqrt(99))) + -4.\nAnswer: 15*sqrt(11) + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 27*b**2 - 25*b - 50. Calculate the remainder when 118 is divided by n(28).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*a - 30*a - 36*a = 77 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*r, 4*y - 4*r + 5*r + 19 = 0. Let k = -0.3 - -1.3. Let v = 0.8 - 0.3. Which is the third biggest value? (a) y (b) v (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 2*k + k + 6, 0 = -4*k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7525544nm in meters?\nAnswer: 0.0000000007525544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35, -270, -861, -1970, -3759, -6390?\n\"Answer: -27*b**3 - 16*b**2 + 2*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 3:35 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110 - 110 + 4*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -277? (a) -0.46 (b) 2\/11 (c) -1\/15 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 13639 * -0.07108\nAnswer: -969.46012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 31, 77, 123, 169?\n\"Answer: 46*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, f: 13, h: 3}. What is prob of picking 2 f?\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -4, -1\/6648, -5, -1, 103 in ascending order.\nAnswer: -5, -4, -1, -1\/6648, 1\/3, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 6*b - 22788. Suppose -6*r - b = -15*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y. Let l(p) = -1. Let q(z) = 4*l(z) - w(z). What is the smallest common multiple of 18 and q(8)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 5:40 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 280354, 1121424, 2523216, 4485736, 7008990, 10092984, 13737724, 17943216?\nAnswer: 22709466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/(-8))\/(18\/(-48)))\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**3\/3 + 13*b**2\/2 - 11*b - 76. Calculate x(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + (sqrt(17) - (sqrt(170) + -1*sqrt(170))\/sqrt(10)) + -3.\nAnswer: -7 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - j - 6415 = 0, 4931 + 3093 = 5*l - 3*j. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244.52 rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000101739 to seven decimal places.\nAnswer: -0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39\/27896444 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22 and -0.139?\nAnswer: -3.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 80969c (base 13) in base 10?\nAnswer: 2991260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q**2 + 1. Let v(c) = -7*c**2 - 1. Let o(l) = 3*v(l) + 5*x(l). Let g be (-1 + (-6)\/(-4))*4. Determine o(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 + 58. Let b = -8 + u. Put b, -3.6, 2 in descending order.\nAnswer: 2, b, -3.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 254972894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**3 + 2*v**3 - 68*v + v**2 + 2 + 71*v to the form k*v + a*v**2 + z + p*v**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2683 - 10731\/4. Which is the closest to -15? (a) 0.2 (b) -92 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b + 713 - 74. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 246 = -o. Let n = o - 60. Suppose -5*q = k - n, -k = 4*q + k - 20. Solve 0 = 3*f + q + 11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 + f + 1. Let x = 718 + -719. Let i(b) = -b**2 - 8*b - 2. Let o(v) = x*i(v) - 4*l(v). What is o(2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(x - 2*x + 15*x)*(-x**3 + 2*x**3 + 0*x**3) - 2*x**4 + 0*x**2 + 0*x**2.\nAnswer: 12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*c + 20 = 251*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33 - -320023?\nAnswer: 320100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(-338) + (-88)\/234.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24368367337339.99999968 + -24368372664572. Let h = m + 5327222. Let v = h - -10. What is v rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**5\/13 + 22*w**4\/13 + 92*w**3\/13 + 180*w**2\/13 + 162*w\/13 + 54\/13.\nAnswer: 2*(w + 1)**2*(w + 3)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-6)*-3 + -1. Let o(m) = 2*m**2 - 2*m. Let l be o(s). Suppose -5*j + l + 16 = 0. What is the highest common factor of j and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 196 = 4*p + o, -o - 204 = 4*p. Calculate the remainder when 74 is divided by (3*p\/(-105))\/(2\/28).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587454971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30351 and 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 194.\nAnswer: -776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-10) + (-198)\/(-45)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -11*r**2 + 27. Let z(d) = -5*d**2 + 14. Let m(x) = -6*g(x) + 13*z(x). Let l(i) = 5. Give 9*l(w) - 2*m(w).\nAnswer: -2*w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 6 + -1 - 9 - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 7:22 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13970787 and 4?\nAnswer: 55883148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cndh when four letters picked without replacement from {l: 3, d: 2, c: 1, o: 2, h: 1, n: 3}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.4 + 1.7. Sort 4, k, 0, -3.\nAnswer: -3, 0, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/455, -0.1, -4, 2\/7, -1\/6 in increasing order.\nAnswer: -4, -1\/6, -0.1, 4\/455, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 0*a - a)*(-1 + 5 + 2)*(4*a - 7*a - 4*a)*(4 - 6 + 4).\nAnswer: 168*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.17 and 226?\nAnswer: 226.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 3. Let j be f(2). Sort 3, -1, 0, j in ascending order.\nAnswer: -1, 0, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 2:33 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10150727*p**4 - 8*p**3 - 163302*p**2 + 2*p - 104?\nAnswer: 243617448*p - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 1, b: 1, d: 1, x: 1, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7340115 (base 8) to base 11\nAnswer: 1111991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 72182.9m in kilometers?\nAnswer: 72.1829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -411200, -1645267, -3702030, -6581483, -10283620, -14808435, -20155922, -26326075?\nAnswer: -33318888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/260 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16958.9 - -14076.54. Let h = r - -2832. Let b = h - -49. Round b to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4239809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 2\/5, 1\/7, 55, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5*h**3 - 5*h**2 - 14*h + 3. Let n(o) = 14*o**3 + 16*o**2 + 41*o - 8. Let r(p) = -11*a(p) - 4*n(p). Let w be r(-8). Is 3040\/w + (-1)\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c**3 - 9*c**2 - 4*c - 9. Let r be d(9). Find the common denominator of (r\/(-12))\/11 - 12\/(-4) and (-221)\/(-76) + (-1)\/4.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 15 (c) -1\/4 (d) -1.5 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2188?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l. Let w(d) = 1695*d**2. What is w(o(y))?\nAnswer: 1695*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**4 + m**4 - 3*m**4 + (0 + 0 - m**3)*(5*m - 5*m + 2*m).\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*v - 15 = 98*v. Suppose 0 = v*z + 58 - 78. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -352, -357, -366, -379?\n\"Answer: -2*s**2 + s - 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 914340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.42707 - -0.02707. Suppose 0*k - 3*f = 3*k + 6, 5*k + 7 = -2*f. Which is the second biggest value? (a) v (b) 0.5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 109*r + 0*r**3 + 0 + 0*r**2 + 5\/2*r**4. Let i(m) = -3*m. Calculate i(q(s)).\nAnswer: -90*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 44 + 2 - (-67 + (72 - 1))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20774 - 15*y - 20774 + 30*y**2.\nAnswer: 30*y**2 - 15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 56 + 14. Calculate the lowest common multiple of h and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2581414 centuries to millennia.\nAnswer: 0.02581414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 237, 350, 463?\nAnswer: 576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*p - 19 - 1. Find the third derivative of 5*l - 18*l**4 + 33211 - p*l**2 - 33211 wrt l.\nAnswer: -432*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d - 12*d + 14*d + 294 = 0 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 122?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + 1.99. Let l = -2.8 + o. Let u = l - 5.39. What is the second biggest value in 4, -4, u, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*0\/(40\/48 - 2\/(-12)). Let n be (-58)\/(-4) + 2\/4. Solve 10*r - n*r + 25 = g for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-18) + (-10)\/(-18). Suppose c - 3*r - r = -9, -24 = -3*c - 5*r. Which is smaller: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 476?\nAnswer: -9\/476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-33)\/477*(-518)\/5698.\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 536458681?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1292?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k + 5. Let y be t(9). What is the greatest common divisor of y and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5350 - 2?\nAnswer: 5347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101001011011 + 11?\nAnswer: 100101001011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2154 or 2187?\nAnswer: 2187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -150*j**2 + 16 - 17*j**3 + 18*j**3 + 3*j + 150*j**2 in the form k*j**2 + u*j**3 + w + l*j and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 7*y**4\/12 + 7*y**3\/2 + 27*y**2. What is the tens digit of p(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.2399 and -4.\nAnswer: 4.9596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8022 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*d - 1115 = 0. Suppose 4*q - 3*r - d = 0, q - 4*r + 244 = 5*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 416 by 235.\nAnswer: 416\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -769*p**2 + 2312*p**2 - 770*p**2 - 772*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-6))\/(14\/126)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(0*z - 3*z + 4*z)*(-3 + 1 + 8) + 0 - 3*z + 0.\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**4\/12 + v**3 + 4*v**2. Determine b(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 13*u**2 - u - 9. Let c be n(-13). Suppose l + 20 = c*h, 5*h + 6*l = l. Solve 0 = -s - s + h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/((-350)\/4)*14\/(-8).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.17 + -0.73. Let u = 0.36 + v. Which is the closest to -0.1? (a) u (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = 602 - 771. Solve -z - 19 = -16*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 30. Let b be (35\/14)\/(u\/(-2)). Suppose -5*d + 4*k + 89 = 0, 3*d + b - 55 = -k. Calculate the remainder when 33 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 4. Let b be g(2). Sort b, 4, -3 in ascending order.\nAnswer: -3, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -0.0152, -2, -2\/23, 0.1 in descending order.\nAnswer: 0.1, -0.0152, -2\/23, -2, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -w**7\/1260 - w**6\/360 + w**4\/12 + 2*w. Let q(j) be the third derivative of z(j). Factor q(k).\nAnswer: -2*k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-28)*g)\/(g\/g**(-17\/5)*g) assuming g is positive.\nAnswer: g**(-162\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -7. Suppose 2*y + 3 = 4*y + u, -9 = c*y - 3*u. Solve 4*z - 16 = -3*b - b, b + 3*z - 10 = y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 285573004?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-195)\/(-13)*(-4 - -8)\/(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-51*d**2 + 48*d**2 + 26*d**2)*(0*d - d**2 + 0*d) to a + s*d + x*d**3 + b*d**4 + c*d**2 and give b.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 2. Calculate the greatest common divisor of n and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-95)\/(-114))\/((-1)\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x**2. Let z(p) = 3420394*p. Determine r(z(q)).\nAnswer: -35097285345708*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**3 - 4*v**2 + 2*v + 6. Let n(w) = 7*w**3 - 8*w**2 + 4*w + 12. Let x(q) = -9*b(q) + 4*n(q). Let i be x(-4). Sort -5, i, 4.\nAnswer: -5, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y + 2. Let r be l(-1). Let m(n) = 3*n**2 + 4*n + 6. Calculate m(r).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*t**2 + 9 + 3 - 8 + (2*t + 0*t - 4*t)*(0*t - 3*t + 2*t).\nAnswer: -11*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24185 and 13804?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, q: 3, y: 2}. What is prob of picking 2 q?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 6301916 to the nearest ten thousand.\nAnswer: 6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -1\/10, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x**2 - 16*x + 11. Let i(t) = 3*t**2 - 3*t + 4. Let c(v) = v**2 + 1. Let m(d) = -2*c(d) + i(d). What is 11*m(b) - 2*n(b)?\nAnswer: b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g + 347 - 116 = 0 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4 - (-30)\/20. Suppose d*b + b = 36. Let u(z) = z - 1. Let x be u(5). Solve b = x*h + 32 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/109 (b) -0.3 (c) -445\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041665458 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(304) + sqrt(304)*3) - ((sqrt(19) - sqrt(152)\/(sqrt(16)\/sqrt(2))) + (sqrt(304) - (-1 + sqrt(304)))).\nAnswer: -1 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 236*m**5 - 8*m**4 + 50*m**3 + 157290212*m**2?\nAnswer: 14160*m**2 - 192*m + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -30, 17, 277?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 5 = -4*u. Suppose 26*v - 69*v = 172. Sort v, u, 3 in ascending order.\nAnswer: v, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111488 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqqaqqajajj. What is prob of picking 1 a and 3 j?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/9 (b) -21\/232 (c) 3\/5 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/4*((-62)\/(-5) - (-28)\/(-70)). Solve -5*i = -4*b - 30, -b - 25 + 14 = -m*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/12 of a millennium in months?\nAnswer: 13000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ghqhkkkkg. Give prob of picking 2 k and 2 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/(-27) + 3\/(9\/22022).\nAnswer: 3, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1294485*w**3 - 354*w**2 - 6*w - 86?\nAnswer: 7766910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + sqrt(119) + -2*sqrt(119))*5)\/sqrt(7) - 4*(-2 + sqrt(17) + 0).\nAnswer: -4*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - j = -52, -66 = -5*n - 3*j + 194. Suppose 0*t - r + n = t, -3*r + 54 = t. Calculate the highest common factor of t and 459.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 7*s**4\/24 + 23*s**3\/2 - 6*s**2. Let a be l(-9). Let u(b) = 7*b - 8. Determine u(a).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f - 27. Let c(h) = h. Give -b(m) - 4*c(m).\nAnswer: -m + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -109124131.6999983 - -109124121. Let n = m - -10.7. What is n rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s + s + 67*s - 15*s + 29*s.\nAnswer: 86*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**6\/h)\/(h*h\/(h\/(h\/((h**4\/h)\/h*h)))))\/((h\/((h*h**(-1\/7)*h*h)\/h))\/h*h**(-3\/13)) assuming h is positive.\nAnswer: h**(736\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 8*t**2 - 4*t**2 - 11.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -114184?\nAnswer: -1\/28546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - 4. Is n at least as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/2900703 (b) -3\/5 (c) -0.1 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -18*(44\/(-120) - 22\/165). What is the greatest common factor of 927 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3150 = -3*c - 4*w + 368, c + 3*w = 1181. What is the greatest common divisor of c and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 17*g - 77. What is f(-22)?\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 8*k**2 + 491*k + 653. What is g(-60)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a9 - 5?\nAnswer: 1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6537004421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2912 or 2911?\nAnswer: 2911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4205 + -567683\/135. Is 1 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229746 is divided by 32.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4498*b**6 + 2*b**2 + b + 746 wrt b.\nAnswer: 539760*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 878 = b + 78. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115200 and 16290?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 1:42 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-34) + (-11843312)\/(-171496)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -178a289 + -15?\nAnswer: -178a2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/889 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 8*l**2 + 6*l + 7. Let v be c(7). Let a be 86\/4*(2 + v). Suppose 5*b - 40 = -4*n + 13, a = 4*n + 3*b. Solve n*o = 2*o + 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10783 + 15559. Let i = -1266 + x. Suppose 0 = 5*s - l - i, 1397 = 3*s + 5*l - 681. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43 + r**4 + 43 + (2*r - r + r)*(-6*r**3 + 4*r**3 + 3*r**3).\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x + 2*x**2 - 3*x)*(12*x + 3*x - 2*x) - 3 + 3 - 2*x**3 + 2*x**3 - x**3 - 2*x**3 + 0*x**3 + 0*x**3 - 2*x**3 to m*x + a*x**3 + s + p*x**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**5\/20 + 5*j**4\/12 - 3*j**3\/2 - 4*j**2. Let v be g(7). Calculate the smallest common multiple of 6\/27 + v\/36 and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12271.9914ms in days?\nAnswer: 0.0001420369375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(35\/(-60))\/7.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10238 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*b + 3 + 6*b**2 + 16*b - 39*b - 3 to the form y*b**2 + j*b + q and give j.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 84180067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m - 3 + 3)*(3*m**3 - m**3 - 3*m**3)*(118 - 32*m - 118).\nAnswer: -192*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -798, -6373, -21502, -50961, -99526, -171973, -273078, -407617?\n\"Answer: -796*d**3 - d**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -22.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30731 + 44322. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 62 = -l - 32. Put 10, l, -3, -4 in increasing order.\nAnswer: -4, -3, l, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-50)\/(-8) + (-2)\/8. Let r be 4\/o - (-5)\/(-3). Let y be (-8 - -6)*1*(-16)\/(-1616). Is r <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31474, -62865, -94244, -125617, -156990?\nAnswer: -188369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 237514190 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, 52, 180, 370?\nAnswer: 622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*w**5 - 18*w**2 + 11*w - 1?\nAnswer: -140*w**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(96\/(-15410)) - 0. Let s = j + -1873\/3. Let v = -1945\/99 - -140\/9. What is the common denominator of s and v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2299) + 4)**2 - (1 + sqrt(2299) + -4)**2.\nAnswer: 7 + 154*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -20*4*(26\/4 - 7). Let y be 2*1\/4*6. Suppose -y*h + g + 50 = 0. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 10) + -3 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 93793234 a multiple of 1882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/2487979 and -29\/31694.\nAnswer: 4975958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, b: 5, a: 1, s: 1}. Give prob of picking 1 a and 1 l.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 13*a. Let d be o(1). Suppose -d*x = -12*x - 3. Solve 0*k - 15 = x*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((-6*(sqrt(5) - (3 + -1*sqrt(5))) - (1 + -2*sqrt(245))) + -4))**2.\nAnswer: 832*sqrt(5) + 3024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -56*w**6\/15 + w**5\/5 - 843*w**2\/2 - 1543*w - 2. Find the first derivative of v(b) wrt b.\nAnswer: -448*b**3 + 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4745 (base 11) to base 6.\nAnswer: -44444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.87 - -0.23. Let l = f + -0.9. Which is the closest to -0.1? (a) l (b) 3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 5\/4 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 + 2*r - 4. Let h(g) = -5*g**3 + 9*g**2 + 3*g - 6. Let a(w) = -h(w) + 2*z(w). Let d(x) = -x**3 - x**2 + 2*x - 3. Let s be d(-3). Give a(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 213*d - 2686. Let x be 1\/(1 + (-16)\/18). Suppose 91 - x = 2*r. Calculate the remainder when r is divided by o(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zllz when four letters picked without replacement from zllllz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 0.5.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -4*j - 96 + 1\/4*j**4 + 3*j**3 + 4*j**2. Calculate i(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02318 - 146\nAnswer: -146.02318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 468797932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(105\/(-51920))*(-81)\/36. What is z rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)*2*-2 + -3 + -2 + sqrt(242) - (2 + sqrt(242)*1 - sqrt(242)*2*4)*3)**2.\nAnswer: -4356*sqrt(2) + 78529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9991.6 + -9992. Which is the third biggest value? (a) u (b) -3 (c) -2 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4\/9*t**2 - 2\/9*t - 4\/9 + 2\/9*t**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 604283074?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 22*z**2 - 10*z. Let v(q) = -7*q**2 + 3*q. Let p = 66 + -63. Let o = -127 + 137. What is o*v(h) + p*u(h)?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 1, 35\/2678, -3\/50?\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 - -38) + -5 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/138301 and -61\/2424.\nAnswer: 335241624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 57485 to the power of 1\/2, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 + 2*g - 16. Let l(k) = 5*k**2 - 6*k + 47. Give 3*l(x) + 8*v(x).\nAnswer: -x**2 - 2*x + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -194 (base 15) in base 8?\nAnswer: -554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - -334955.\nAnswer: 334955.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-233 + 233 - 145*a)*(-2*a + a + 0*a).\nAnswer: 145*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 114, 251, 390, 531, 674, 819?\n\"Answer: l**2 + 134*l - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2. Let k(y) = y. Let s(t) = 17*t - 1. Let n(r) = -5*k(r) - s(r). Give i(n(q)).\nAnswer: 484*q**2 - 44*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**5 - 107028*q**4 - 716097576*q**3 - 2147650600*q**2 - 2147436564*q - 715776516 = 0. What is q?\nAnswer: -13377, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 65 + 34*i - 33*i - 65. Let k(q) = -9*q - 1. Give k(l(y)).\nAnswer: -9*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 21*u - 23*u + 3*k, -5*u - 2*k = -45. Suppose -h = u*h - 22030. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -247 + 442. Let a = 71 - 66. Suppose -a*n + w - 45 = 0. What is the remainder when 89 is divided by n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -37. Let d(f) be the second derivative of -1\/10*f**6 - f**2 + 0*f**3 + 0*f**4 + l*f**5 + f + 0. What is the derivative of d(v) wrt v?\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 674215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/6583 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*h + 28 = -h, -4*h = 12. Let i be (-912)\/(-40)*x\/(-4). What is the tens digit of (5 - 4)\/(3\/i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 34675*z + 34673*z + 40 = 0, -5*d - 72 = 2*z for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.002, 4046, 0.41, 0.4 in ascending order.\nAnswer: -0.002, 0.4, 0.41, 4046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 bigger than 56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, b: 5, v: 4, l: 2, w: 4}. Give prob of sequence vblw.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 10 = 33. Suppose 4*m - 11 = 3*m - 3*n, 5*n = 3*m + w. Put -3, 5, m in decreasing order.\nAnswer: 5, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = s. Let c(f) = -2*f**2 - 11*f - 6. Let u be c(-4). Solve -3*a = -s*a + l - u, -4*a = -l - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/2 (b) 82 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 58977, 117893, 176809, 235725, 294641, 353557?\n\"Answer: 58916*m + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -207*h - 144 - 106 + 15*h**2 - 157 + 563 = 0.\nAnswer: 4\/5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2395 - 1474. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69118, -69103, -69088, -69073?\nAnswer: -69058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.775mm in nanometers?\nAnswer: 1775000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1566 divided by 1040\nAnswer: -783\/520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/3 + 135259201*o\/3 - 22543200.\nAnswer: -(o - 67629600)*(2*o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2448*u - 4088*u + 343743 + 265359 = 1273*u for u.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52540 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 18*n - 55 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113031 by 37677.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 35*s**2 + 10 + s**3 - 35*s**2 - 6.\nAnswer: s**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11202011 - 10220?\nAnswer: 11121021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 9 = -16. Suppose 2 = -0*z - 2*z - 2*y, -2*z = 5*y + 5. Sort 14, a, z in increasing order.\nAnswer: z, a, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73 + 70. Which is the fourth smallest value? (a) k (b) 5 (c) -2 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9124 is divided by 336?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 25 (b) -2\/9 (c) 11 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26c1c02 (base 13) to base 16.\nAnswer: -ba96ef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-6))\/((-1)\/16). Is 8 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 28 = k, 2*x - 9*k = -8*k. Let m(z) = -2*z**2 - z + 3. Let g(l) be the first derivative of l**3\/3 + l**2\/2 - 4*l - 3. Determine x*m(p) - 3*g(p).\nAnswer: 5*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000253531932 rounded to six decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7512275 divided by 5\nAnswer: -1502455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48380 and 93051673.\nAnswer: 2419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*w**3 - 78*w**3 + 25*w**3 + 29*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 3:09 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2753.1 rounded to the nearest ten?\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**5\/15 + a**4\/4 - 8*a**3\/3 + 12*a**2 - 12*a. Let o(d) be the first derivative of u(d). What is the tens digit of o(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11573944 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 4*g. Let t be c(4). Suppose t = -3*w - 3 + 6. Solve -5*m + w - 11 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 5, -3, 3, 37 in ascending order.\nAnswer: -3, 3, 5, 9, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5428442 is divided by 58?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*w)*(-3 + 3*w**4 + 3) + (w**4 - w**3 + w**3)*(3*w + 3*w - 5*w).\nAnswer: 10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*o + 68*o = -1562. Solve -14*v - 183 = -o for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12133 (base 11) to base 10\nAnswer: -17460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3908.159 + -0.4.\nAnswer: -3908.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1348\/(-337))\/(2*16\/2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 189 + -143. Differentiate 34*y + 265 + 28*y + 38*y - m - 36*y with respect to y.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15\/2 (b) -2\/19 (c) 2\/3 (d) -4 (e) 0.056 (f) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 + 1721*r**3 + 10*r**2 + 1191*r**3.\nAnswer: 2912*r**3 + 11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6930\/17 at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5*z - 170, z = -5*r + 58 - 224. Which is the second biggest value? (a) r (b) 0 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -898 + 614. Let n = s - -282.83. What is n rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -652, -0.4, -5, 2\/133, 4 in ascending order.\nAnswer: -652, -5, -0.4, 2\/133, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 452 + 136. What is the remainder when 100 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 5)*(69*h**2 + 18 - 18 + 84*h**2).\nAnswer: 153*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1120 from 701.\nAnswer: 1821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-12)*h**(-3\/5)\/h)\/((h\/(h**(-9)*h*h)*h)\/h*h**2) assuming h is positive.\nAnswer: h**(-118\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112195, 112199, 112199, 112183, 112139, 112055, 111919?\nAnswer: 111719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z + 4*p - 66 = 0, z + 3095*p - 3099*p + 22 = -2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 11*q**7\/42 - q**4\/3 - 4*q. Find the third derivative of a(c) wrt c.\nAnswer: 660*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 5152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 296718 a multiple of 677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 m when three letters picked without replacement from wkkqmwwkffwwsf?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38746, -77486, -116226, -154966?\nAnswer: -193706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30 + -202432?\nAnswer: -202402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*d - 6 = 27*d. What is the third derivative of -s**d - 54*s**4 + 1 - 5 + 10*s**4 - 4 wrt s?\nAnswer: -1056*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-224)\/2*3\/(-3). Suppose 0 = -2*d - 2*d + j. Is d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -4*r - 4 - 1, -2*p + 4 = -2*r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3687*d**3*t + 4*d**2*t + 3*d**2 + 2*t wrt d?\nAnswer: 22122*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10705735 and 1775?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 494 = -2*z, 244 = 3*m - 5*z - 71. Calculate the smallest common multiple of m and 3*(12 + -4) - (-4 - 0).\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-6))\/((-39)\/104)*3\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2260170037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k**(-8)*k)\/k)\/k)\/k**(-5\/4))\/(k**(-1\/3)\/(k**(-2)*k*k*k)))**20 assuming k is positive.\nAnswer: k**(-385\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*n + 570 = -27*n for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11341520 is divided by 1870.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + (-54384)\/(-11) - (0 + 2\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -2*d - 14, 0 = -4*d + 4*x - 1 - 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -463 + 652. Let y be 714\/i + (-2)\/(-9). Solve 3*j + 17 = -2*j - y*t, -4*j + 5 = -3*t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317412 is divided by 2862?\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 greater than -0.12707?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5927363l in millilitres?\nAnswer: 592.7363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -373\/330 + 51\/110. What is the nearest to 1 in 0.08, m, -0.1, 7?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**5\/60 - m**4\/24 - m**3\/6 - 2*m**2. Suppose -x - 8 = -11. Let c be u(x). Put -5, 7, c in ascending order.\nAnswer: -5, c, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 16 + 7 - (10 + 0 + -6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1541.1 to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6684717*y + 16455950*y - 6868435*y.\nAnswer: 16272232*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 15 = 12*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 16 - 4 = 0. Suppose c - k = -4*c. What is the third derivative of -5*i**c - i**3 + 13*i**2 + 6*i**3 - 3*i**2 wrt i?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-201)\/4 + -1 + 0)*-8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 2:18 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3441847*a - 10325541. Determine b(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(20\/16) - 1. Factor 7*w**u + 6*w**3 - 4*w - 16*w**3 + 4*w**3.\nAnswer: w*(w - 2)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-1 + (2 - 2) - (-46 - -40))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -517005281238176 take away -5?\nAnswer: -517005281238171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.3, 5, 51, 14326?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*o - 64*o + 270 = 0. What is the greatest common divisor of 60 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 25*v**2 - 18*v - 25. Calculate q(24).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -2, -1\/2, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189, 376, 563, 750?\nAnswer: 937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 0*n**4 - 1\/20*n**5 - 3*n**2 + 0*n**3 - 1\/70*n**7 + 0 + 20*n + 1\/20*n**6. Factor g(k).\nAnswer: -3*k**2*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 9. Let b be 0*f\/(-9) + 2. Suppose -5*m - 1500000 = -b*m. Round m to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 + 3 + 3 + 5. Suppose 8*n = -x*n + 26. Solve -2*g + 12 = 4*i, -i - n*i = -5*g - 35 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**3 - 7*t**3 - 12*t**3.\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 768830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 2\/15 (c) -5 (d) -4.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x - 2. Let m be g(2). Suppose 0*z + 1470 = -5*l + 5*z, 0 = l + 4*z + 299. Let v be 118\/l + (-16)\/10. Put 0, v, 3, m in decreasing order.\nAnswer: m, 3, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2\/n*n)**23*n**(-4)*n**(-1\/2)*(n**7\/n*n**(2\/3))\/(n**(-1)*n)**(-4\/3) assuming n is positive.\nAnswer: n**(289\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13\/21 - (-6)\/(-21). Let q = 92 + -87. Sort -4, q, o in descending order.\nAnswer: q, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 2056290 in descending order.\nAnswer: 2056290, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1567604550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12598 - 5546 = -63*s. Is 24 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000021789 rounded to six dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -5.3. Suppose -388 - 500 = -6*t. Let o be -4 + (-3 - t\/(-20)). What is the second smallest value in f, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19845 by -3969.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14904 divided by 4?\nAnswer: 3726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.067 (b) 9.3 (c) 47 (d) -2\/9 (e) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 520?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3.1, -43\/7, -4?\nAnswer: -43\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 28. Which is the third biggest value? (a) 0.03 (b) q (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 123362 and 0.29.\nAnswer: 123362.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggggevcgzcggv. What is prob of picking 1 v and 1 z?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 183 = 5*h - 202, 0 = b + 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10680 + -7475. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -347615536, -695231073, -1042846610, -1390462147, -1738077684?\n\"Answer: -347615537*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 101 = d, 4*d = 5*b - 115 - 44. What is the remainder when b is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72 - 286. Let l = u + 220. Let j(t) = t. What is j(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4371*v - 4378*v + 35 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 1.5. Let i be (1 - 0) + 3\/(-4). Let v = 190.9 - 190.9. What is the nearest to v in p, 0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hs when two letters picked without replacement from {s: 3, b: 1, r: 1, p: 1, h: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -3*v. Suppose 2 = -2*g + 3*g + 2*x, 3*x - 12 = v. Let n be (-1)\/(-2)*g\/(-21). Which is the biggest value? (a) 0.5 (b) n (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5113 is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.356865 litres?\nAnswer: 9356.865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 6:55 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 6:32 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -7*o - 17. Let l(r) = 3*r + 9. Let q(m) = 6*i(m) + 11*l(m). Suppose 0 = 3*x - 3, 3*y + 2*x + 7 = 3*x. Calculate q(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 43*a - 44. Let s(j) = 171*j - 177. Let u(p) = -9*c(p) + 2*s(p). Find the first derivative of u(k) wrt k.\nAnswer: -45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 2*w**2 + 2*w + 2. Let n be 12\/(-72) + (-394)\/12. Let v(z) = -5*z**3 - 11*z**2 - 11*z - 11. Calculate n*y(a) - 6*v(a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -435, -432, -429, -426, -423?\nAnswer: -420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26471826 and 1197.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 346701 (base 9) to base 7\nAnswer: 1525246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*o - 63 + 27. Suppose -2*q = -m, 2*m = 5*m - 3*q - 3. Suppose -3 = -m*n - 5. Sort n, -5, o.\nAnswer: -5, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2900601 and 28240?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4543\/(-177))\/(-77))\/((-4)\/63).\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 15) to base 5\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**4\/24 + 6*g**2. Let j(m) = 8*m. Determine j(b(k)).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 430*y**3 - y**2 + 7*y - 6. What is the units digit of i(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 72 = 2*v - 3*y, -2*y - 74 = -2*v. List the prime factors of v.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**2 - 12185901*g = 0.\nAnswer: -4061967, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6607*i**2 + 2145*i + 54411070 with respect to i.\nAnswer: -13214*i + 2145","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -1040*v - 11229. Determine u(-11).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29.14 - 29. Let v = -0.44 + x. What is the third biggest value in -9, 5, v?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 981, 1332, 1773, 2298, 2901, 3576, 4317, 5118?\nAnswer: 5973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 1 + 1 = 0. Suppose o = 3*h - 4 + 10, 5*h = -5*v + 70. Calculate the remainder when 45\/(-2)*(-6)\/3 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 8) + -50 + (11 - (5 - 1)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 2*v**2 - 12*v - 6. Let x be z(-2). Suppose x*c - 22 = 2*r, 5*c + 11 = -4*r + 39. Calculate the remainder when c is divided by 2\/4 + 27\/18.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**4 - 15*n**4 + 7*n**4 + (-n - 3*n + 3*n)*(-2*n + 2*n - n**3 - 4*n**3 - n**3 + 4*n**3 - 3*n**2 + 3*n**2 - n**3 + (-2*n**3 + 0*n + 0*n)*(0 + 1 + 0)).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 2*k + 2*k + (2 + 42 - 18)*(-2*k - k + 2*k))*(-k + k + 2*k**3).\nAnswer: -48*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**4\/12 - i**3\/6 - i**2 - 4*i. Let x be q(0). Which is greater: -5\/2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2710 divided by -15?\nAnswer: -542\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73547\/39 + -1887. Let u = l + 24\/13. Suppose 0*h**2 + 2\/3*h**3 + u*h**5 + 4\/3*h**4 + 0*h + 0 = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 10*o**2 - 9*o + 5. Let g(c) = -9*c**2 + 8*c - 4. Let j(k) = -5*g(k) - 4*q(k). What are the prime factors of j(-3)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(4\/7)\/v))\/v*v)**(-16)\/(v**(-2))**(-17) assuming v is positive.\nAnswer: v**(-398\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5316)\/330 - (-1216)\/76 - (-1)\/5. Let h = -1.5 + -5.5. Let f = 10 + h. What is the second biggest value in q, 4, f, 1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2299 + 5853. List the prime factors of a.\nAnswer: 2, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.262003 decades?\nAnswer: 0.01262003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 257 - 251. Calculate the highest common divisor of s and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*x - 595 = 535*z - 530*z, -4*x + 22 = 7*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -9*c**3 - 21*c**2\/2 + 6*c + 13. Factor g(w).\nAnswer: -3*(w + 1)*(9*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**3\/4 + 7*b**2\/2 + 421*b\/4 + 203\/2 = 0 for b.\nAnswer: -14, -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2598 = 3*r, 4*r - 511 = -2*c + 2951. Which is smaller: 868 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 1. Let b(i) = -175*i + 73*i + 10 + 100*i. Give b(g) - k(g).\nAnswer: -2*g + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.06 + -3.16. Sort r, -0.7, -1\/2, 1\/4 in descending order.\nAnswer: 1\/4, r, -1\/2, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68727 divided by 29?\nAnswer: 68727\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 86*r**3 - 86*r**3 + 42*r**4 - 25 wrt r.\nAnswer: 168*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/2 of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*h**3 + 353*h + 1731 - 2*h**2 - 3464 + 1733 wrt h?\nAnswer: -156*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 16. What is the second smallest value in 3, 0.5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/3 + 4\/12. Let t = -4 + 5. Let o = k + t. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -62*p + 123. What is k(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17150\/25908303 + 4\/4091. Is i at least -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.18164055 to 2 dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**4\/2 + 60*b**3 - 819*b**2\/2 + 831*b - 480 = 0. What is b?\nAnswer: 1, 2, 5, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1197 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -81*t + 80*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 u when two letters picked without replacement from {i: 5, u: 2, l: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -6. Let v(j) = j**3 - j + 6. What is the units digit of v(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30338 - 30338 - 28*h**3 - 15*h + 15*h.\nAnswer: -28*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 12 = -2*k, -x + 42 - 38 = 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339*f**3 + 838*f**3 - 158*f**3.\nAnswer: 1019*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m*m*m**(-32)*m))\/(m\/m**(-1\/6)*m))\/(m**30*m**(-6)\/m) assuming m is positive.\nAnswer: m**(23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2975969775?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 + 0.2. Let r(j) = 5*j + 310. Let f be r(-61). Let s be (-6)\/10 + 1 - (-27)\/(-30). Which is the nearest to s? (a) 2 (b) o (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17 + 231*c**3 + 1 + 8*c**2 - c**4 - 231*c**3.\nAnswer: -(c - 2)**2*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521331 greater than 521089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjynjhyjjy. Give prob of picking 2 j and 1 y.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 868.7 - 869. Sort -0.2, 1, 4, k, -14 in decreasing order.\nAnswer: 4, 1, -0.2, k, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/2 + 0\/12. Which is the closest to -0.1? (a) 0.4 (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*a**4 + 4*a**4 - a**4)*(-3 - 1 + 3) + a + 55*a**4 - 41*a**4 - 25*a**4 to t + r*a**2 + i*a**3 + h*a + c*a**4 and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*f + 56 = -57*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285 - 285 - 2363*r.\nAnswer: -2363*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 - 240 - 72)*(-4*f**2 + 2*f**2 + f**2)*(2*f**2 + 2*f**2 - f**2) as q + d*f + k*f**3 + n*f**4 + x*f**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1004*c - 32 = 4*l - 1000*c, 3*l = 3*c - 12 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r + 1. Let g be h(-1). Let b(m) = m**2 + m - 4. Let c be b(g). Let t be c*(-4)\/(-6)*3. Solve -2*n = -3*n - t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -12837?\nAnswer: -12841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 - -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4449\/2 + -22243\/10. What is the third biggest value in 5, -5, 0.4, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a day in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 5*r + 3, 2*z - 6 + 0 = -2*r. Suppose -z*t - 1415 = -11*t. Is t a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 1862.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6)*5)\/(17\/(-51))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 2*u + 156 = -4*z, 0 = 7*u + 2*z - 3335 + 3699 for u.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95505 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -1768, 0.4, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 50 = -5*k, 0*k + 2*a = -k + 1. Let h be (-3 + 1)*21\/(-2). Suppose 0*p - h = -p. What is the highest common factor of p and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**7\/840 - b**5\/120 + b**4\/8 + 3*b**2. Let x(z) be the second derivative of u(z). Find the first derivative of x(f) wrt f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 - 50. Solve -3*a + 15 = -t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1260\/33 + (-8)\/44. Let j = 17 + v. Suppose -430 = -n + j. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**5\/13 - 90*z**4\/13 - 450*z**3\/13 + 810*z**2\/13 + 324*z = 0.\nAnswer: -39, -6, -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/498 and -125\/11796?\nAnswer: 979068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 1351?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -323?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -388 + 667. Calculate the common denominator of -43\/42 and (f\/(-2))\/(-20 - 1).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.14 and -32.1.\nAnswer: 4.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 15*m**2 - m - 11. Let l be a(-15). Solve -l*s + 5 = -5*u, -u + 2 = -2*s + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -i + 49*q, q + 3*q + 91 = -8*i - 13 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 11 = 0, 4*y + 62*s = 59*s + 37 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f**3 + f**2 + 2*f - 3. Let m be h(1). Let r(z) = z**3 - 1. Let p(i) = -10*i**3 + 2*i + 5. Determine m*r(u) + p(u).\nAnswer: -5*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -21*z**4\/4 + z**3\/3 - 3*z**2\/2 + 13*z - 37. Is y(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98.1614 + -2.56\nAnswer: 95.6014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 35 = -7*i + 2*i, -4*i = 3*u - 27 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 24*k**2 + 71*k + 171. Determine f(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 n when four letters picked without replacement from {n: 4, x: 6}.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/8, -5, 5, -0.9, -8\/13, -27?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -2056322\nAnswer: 2\/1028161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 3*v + 22 - 4, -2*v = 4. List the prime factors of (-322)\/(-4) - o\/(-8).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4*u**2 - 2 - 6*u**2)*(-2 - 3 + 4) - 31 - 3*u**2 + 31.\nAnswer: -u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 2 + 5 + (-1 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**2 + 5*b - 45. Let h(a) = -a**2 + 2*a - 22. Determine 5*h(y) - 2*t(y).\nAnswer: y**2 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 667940 and 10.\nAnswer: 667940","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvvm when four letters picked without replacement from mmmvmvmm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -87*i**2 - 92*i**2 + 38*i + 269*i**2 + 261 - 89*i**2.\nAnswer: (i + 9)*(i + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1698.5+-80\nAnswer: -1778.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 6*f - 123*d - 32 = 0, 4*f + 7*d = -0*f + 32 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(26\/134) + (-11 - -6)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-122*s - 52*s - 254*s)*(-s + 5*s - 2*s - 4*s + 2*s + 0*s + (-3 - 4 + 5)*(2*s + 0*s - s) + 3 - 6 - 10*s + 1) as n*s**2 + i*s + g and give i.\nAnswer: 856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -34360 and -1457356.\nAnswer: -1491716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 922055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + q + 3. Let n be w(3). Let s be -3*4\/54*-3. Let f = 21.1 + -19.1. Which is the nearest to s? (a) n (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112748 (base 12) to base 3.\nAnswer: 111220222102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n - n + 2*n - 4*n - 11 + 0. Let u = -19 - -7. What is d(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*t + 97 + 29, -126 = -2*t + 4*k. What is the tens digit of 3016\/10 - (t\/15)\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 - (1025\/(-35))\/(-5). What is the second smallest value in i, 43, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2 and -1.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.047, -1\/3, 267, -0.3 in increasing order.\nAnswer: -1\/3, -0.3, 0.047, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1989.2 - 0.26.\nAnswer: 1988.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 14*g - 9. Let y be (5\/2)\/((-4)\/(-8)). Let r be z(y). Let n = 101 + r. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 7. Suppose -l = 2*l - 3. Let n = -5.8 + 0.8. What is the nearest to l in y, n, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y**2. Let t(z) = 1. Let c(g) = -9*g**2 + 18. Let p(j) = c(j) - 18*t(j). What is p(h(s))?\nAnswer: -144*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 6:31 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 988, 983, 966, 931, 872?\n\"Answer: -r**3 + 2*r + 987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5158? (a) 2\/3 (b) -14\/5 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*q = -q - 1, -21 = -c - 4*q. Suppose c*r - 35 = -0*r. Let y(b) = -b**2 + 6*b - 2. Calculate the remainder when r is divided by y(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 273 and 1209?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - b + 29 = 25, a - 2*b - 6 = 0. Solve 22*o - 48 = -a*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 2*l + 0*l - 2*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -2*z**5\/45 + 4*z**4\/9 - 10*z**3\/27 - 14*z**2\/9 + 14. Factor y(b).\nAnswer: -2*b*(b - 7)*(b - 2)*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r = -3*r - 4700. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 4*d = 8. Let b(r) = r**3 + 2*r**2 + 2*r - 2. Give b(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 44*h + 1 + 2.\nAnswer: 44*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 6:04 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/2*6\/(30\/(-5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*p, 2*m - 39 = 3*m + 3*p. Let r = m + 26. Solve 0 = r*w, -2*c + 0*c + w = -2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 751 divided by 12637\nAnswer: 751\/12637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**5\/20 + t**4\/6 - t**3\/2 - t**2\/2 - 618*t + 1. Let n be (-1)\/(20\/(-12) - -2). Calculate c(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2383 or -2\/5?\nAnswer: -2383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6191321 is divided by 410?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37133027677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/234829496 and 48\/29353687.\nAnswer: 234829496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*b + 18*b + 21*b - 13 - 40*b wrt b?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 - 57 = -u. What are the prime factors of u?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-32) + 46\/(-4). Let r be 60\/(-8)*8\/c. Solve 3 = -r*j + 23 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 7 = s - 0*s, 5*s + 4*w - 10 = 0. Let t(y) = 2*y + 57. Let r(a) = 3*a + 76. Let p(n) = -3*r(n) + 4*t(n). Calculate p(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2. Let k be 8\/4 + 2\/(-2). Suppose u = -g + k, g - 5*u + 1 - 8 = 0. Let x(j) = j**2 - j**2 - 4*j**g. Give z(x(t)).\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d**2 + 33*d**2 - 8*d**2)*(-5 - 4 + d**2 - 1) as p + g*d + k*d**3 + b*d**4 + z*d**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 102*f + 24657. What is q(-240)?\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**5\/7 + 16762*d**4\/7 + 46805070*d**3\/7 + 43481731150*d**2\/7 - 174676879000*d\/7.\nAnswer: 2*d*(d - 4)*(d + 2795)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3\/5 - 1414*b**2 + 10091752*b\/5 - 2016936 = 0. What is b?\nAnswer: -4626, 1, 1090","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1196200?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-8 - 2) + (-4 - (3 - 2)) + 133?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) -3 (c) 0.2 (d) 56\/5 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 1, 4*c - 1488 = l - 105. Suppose 4*o - 2*k = 228 + c, 2*o - 317 = -5*k. Suppose 42 - o = y. Round y to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, u: 1, g: 12}. Give prob of picking 1 g and 1 m.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -0.9. Let n = -0.05 + 0.05. Let o = n + j. Which is bigger: 3 or o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1451779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 0*u**6 - 1\/6*u**3 + 1\/30*u**5 + 0*u**4 + 0*u + 0 - 1\/210*u**7 - 4*u**2. Find b such that h(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2010614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = i - 60. Let l = 1370 - 1335. What is the greatest common factor of i and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a hour in milliseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w + 6*w - 776160 - 2319858 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 0.6. What is the second smallest value in z, 8, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/13 - 8*k\/13 - 10\/13.\nAnswer: 2*(k - 5)*(k + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03011076749 to 6 decimal places.\nAnswer: -0.030111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4724 - -4723. Sort 3.3, 4, w, -0.2 in increasing order.\nAnswer: w, -0.2, 3.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(272) + 1)*-2 + sqrt(272))*-1 - (1*-1*sqrt(272) + -3)) + -3)**2.\nAnswer: 32*sqrt(17) + 1092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yryyrnqnnnryryyn. What is prob of picking 1 y and 3 n?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 615.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 3*y**2 + 6*y + 3. Let p = 112 + -107. Calculate w(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*z**2 + 2*z**3 - 2*z**3 + 2*z**3 - 75*z**2.\nAnswer: 2*z**3 - 181*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49246384 to the power of 1\/2, to the nearest integer?\nAnswer: 7018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61754, -247027, -555814, -988115, -1543930, -2223259, -3026102?\nAnswer: -3952459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-24)\/(-45) - (-6)\/45) + (-60049)\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o**2. Let w(n) = -795*n + 87*n**2 + 1582*n - 787*n. Determine w(k(u)).\nAnswer: 1392*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x - 1. Let m be o(-6). Let h = -9 - m. Find the second derivative of 3*u**4 - 6*u + 4*u + 3*u + 0*u**h wrt u.\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 5:53 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/30)\/((-135)\/(-4050))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k**2 + 27*k + 1 - 2 - 5*k**2 - 6. Let q(s) = -s**2 + 14*s - 3. Let v(u) = 4*p(u) - 7*q(u). What are the prime factors of v(7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40.8 + 36.8. Is -0.88 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -14. What is the third derivative of 27*z**5 - 12*z**5 - 13*z**5 - f*z**2 wrt z?\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2239 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(-2)\/(-8)*48\/(-6). Let k be 15\/1*(f - 7900\/(-15)). Suppose 6*l - k = -2*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 9*q**2 - 13*q + 27. What is the remainder when z(-8) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 4 - 2) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v - 798 = -54*v. Suppose v*p - 25*p = -6. Calculate the remainder when 5 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*n = -2*d + 136, 4*n = 0. Let q be d\/(-12) - 2\/6. Let l be 5\/q + 2\/(-12). What is the closest to -0.1 in 0.5, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 226821 and 1617?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(7\/(-10)) - -4. Let l = s + 7. Let h be (-14 + 13)\/(l\/(-4)). Solve 5*j + 16 = -h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3062726903 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/3*28734\/909910.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.43 - -0.07. Let m = -1 + s. Let o = -71059 + 142113\/2. What is the fourth smallest value in 0, -1, m, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -6. Let k be (24\/(-9))\/(-8)*-33. Let a = m - k. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*u - 67522 + 24192 = 0. Which is smaller: -0.1 or u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 70 - (-20 - 11 - -26)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/22 and -1\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4 - 94*u**3 - 1476*u**2 - 8424*u - 11664.\nAnswer: -2*(u + 2)*(u + 9)*(u + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2301, 4719, 7125, 9519, 11901, 14271, 16629?\n\"Answer: -6*j**2 + 2436*j - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2233, 4452, 6709, 9004, 11337, 13708, 16117?\n\"Answer: 19*n**2 + 2162*n + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011001 (base 2) in base 15?\nAnswer: 5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, u: 1, g: 2, v: 1, q: 2, p: 2}. What is prob of sequence vqqd?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 8*p - p + (3 + 0 - 4)*(p + 5*p - 5*p))*(-2*p - 1 - 2 - 1).\nAnswer: -8*p**2 - 16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((286\/(-715))\/(6\/(-5)*-1)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 150, 344, 814, 1698, 3134?\n\"Answer: 23*p**3 + 33*p + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -10 + (-5 - -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Which is the second biggest value? (a) 2 (b) -5 (c) -0.4 (d) 0.2 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, m: 4}. Give prob of sequence mjm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -42099 + -2?\nAnswer: -42101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 1. Let m(y) = -y**3 + 6*y**2 + 2*y + 5. Let g(i) = m(i) + 4*v(i). Suppose 0 = -4*u + 5*q - 8, -1 = 5*u - 7*q + 3*q. Calculate g(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 8. Suppose -72*o = 2*t - 67*o - 56, -t - 2*o + 28 = 0. Calculate the greatest common divisor of u and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 1\/10*p**4 + 4\/15*p**3 + 1\/5*p**2 + 0*p + 1. Factor s(c).\nAnswer: 2*c*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**2\/2 + p + 24 = 0.\nAnswer: -6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 9 = -3*n, -14 = -3*n + 51*o - 53*o for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1106 and 2?\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17207*y**3 - 36*y**2 - 20*y - 8?\nAnswer: -103242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1583617 is divided by 397.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j*v*w**2 - 2*j*v - j + 3*v*w**2 - 9*v*w + 2 with respect to j.\nAnswer: -v*w**2 - 2*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50778 and 28119?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-3*26\/117)\/((-2)\/12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 15 = 2*a. Suppose 4*x + s - 261 = 0, 2*x + 197 = 5*x + s. Calculate the remainder when (-2)\/(-3) - x\/(-3) is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/78613920 and -149\/5360040.\nAnswer: 235841760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 10021?\nAnswer: 10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*z + 2*z. Let i be 14 - (1 + 3) - 4. Solve 6*k - z*k + i = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 3, -32, 19, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57158 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -380 + 401. Suppose 0 = -9*g + 16*g - 28. Calculate the least common multiple of a and g.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -2\/13, 2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -3*c**5\/5 + 9*c**4\/2 - 9*c**3 + 6*c**2 + 41. Factor v(w).\nAnswer: -3*w*(w - 4)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 44 - 1?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 1\/12416127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5066, 5, -2, -13, -0.25?\nAnswer: 5066","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3324186297 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10480749869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 0.03260184361?\nAnswer: 2.96739815639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*x + 4*t - 494, 7*x - 813 + 677 = -8*x + 10*x - t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 13*n**2 + 2*n - 3. Give l(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1886b (base 15) to base 3\nAnswer: -11001002102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**6\/180 - t**5\/20 - t**4\/3 - t**3\/2 + 3*t. Let z(u) be the second derivative of f(u). Factor z(p).\nAnswer: 2*(p - 4)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -10\/23019, 1, 4 in decreasing order.\nAnswer: 4, 1, -10\/23019, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 4*h = -21, 5*h + 37 = 5*p + 3*h - 35 - 33 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 32 = -5*g. Let v(n) be the first derivative of n**4\/4 - 5*n**3\/3 + n**2\/2 - 9*n + 315. Is v(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.0743125ns to minutes.\nAnswer: 0.000000000034571875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23742 divided by 95.\nAnswer: 23742\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/10 of a tonne in kilograms?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**3 - 30*i**2 - 50*i - 24. Determine j(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -b**4\/12 - b**3 - 5*b**2\/2 + 2*b. Let s be u(-4). Suppose x - 19 = 4*i - 6, -s*x = -2*i - 29. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 967 = 4*u + 4*j + 291, 0 = -5*u + 2*j + 817. Suppose -5*c + 32 + 43 = 0. Calculate the highest common factor of c and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (7 - 3) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6895.05 * 0.2.\nAnswer: 1379.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b5 (base 13) to base 5\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (186\/30 + -5)*(-80)\/32?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299374 <= 299382?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 15*g - 35. Let q be s(-11). What is the second derivative of -9*c - q*c**3 + 4*c + c - 7*c wrt c?\nAnswer: -54*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -602\/33 or -254?\nAnswer: -254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13161 - 19353. Round k to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 19*c**3 - 7*c + 8. What is u(2)?\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 1. Let h(g) = 6*g**2 + 8*g + 11. Let i(b) = -5*b**2 - 8*b - 12. Let s(r) = 6*h(r) + 7*i(r). Let l be s(10). Suppose l*f + 2 = -4. Give t(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/410 and 101\/28310.\nAnswer: 1160710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3062703 to the nearest integer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -490*g - 1086*g - 178927 = 335*g + 56126 for g.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38516 + 13596134\/353. Let s = j - 18485\/5648. Calculate the common denominator of s and 29\/9.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-56)\/(-32)*(0 - 10\/35). What is the third biggest value in 2\/11, 2\/21, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**0)**(1\/6)\/(y**8*y*y*y**(3\/5)) assuming y is positive.\nAnswer: y**(-313\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04 + 0.06. Let n = -0.98 - v. Let x = -82.1 - -82. Which is the closest to -2? (a) -2 (b) x (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - o + 4*u = -22, 9*o - 2*u - 26 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-16)\/3)*(-2)\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 2501*x**4\/2 - 4*x**3\/3 - 549*x**2 + 2*x + 1391. Find the third derivative of y(d) wrt d.\nAnswer: 30012","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = 21 - 3. What is the hundreds digit of (3\/i)\/((-14)\/1036)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3 - 0) + -1 - 0) + -3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8172264 a multiple of 444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.7 and 65376?\nAnswer: 568771.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.22 and -15.5.\nAnswer: -15.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-10) + (-44)\/10. Let m be (-18)\/(-4) + -3 - (-14)\/(-7). Which is the closest to -1? (a) m (b) r (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38013610 divided by -2.\nAnswer: 19006805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = q - 11, -2*q + 4*x = -1 - 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 43*x**2. Let o(r) be the first derivative of 97*r**2\/2 + 2231. What is l(o(u))?\nAnswer: 404587*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**2 - 139594*x - 139596 = 0.\nAnswer: -1, 69798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 27*d**2 - 5*d. Calculate w(-27).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*i + 3014 + 2966. Suppose -4*z + 998 + i = 0. List the prime factors of z.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-6 + 8 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*1*616\/42. Calculate the highest common factor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-7)*((-4 - 19) + 2). What is the greatest common divisor of 396 and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60 - -63. What is the remainder when 3 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 54*n + 2. Let a(l) = 26*l + 1. Let v(o) = 2*a(o) - m(o). Let r(c) = -c**2 + 30*c. What is r(v(i))?\nAnswer: -4*i**2 - 60*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/4)*((o*o\/o**(-3))\/o)\/o)**49\/(((o**(-1)\/o)\/o)**3)**11 assuming o is positive.\nAnswer: o**(1033\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4 = 4*b, -4*b = z - 3*b - 4. Let s be (14\/28)\/((-14)\/z). What is the third biggest value in 4, -2\/11, s?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -55?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*g - 159*g + 36*g = 651 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 5*m**5 + 365*m**4 + 2685*m**3 + 5575*m**2 + 3250*m = 0.\nAnswer: -65, -5, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10889, 87225, 294501, 698213, 1363857?\n\"Answer: 10916*w**3 - 26*w**2 + 2*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -328 or -7536\/23?\nAnswer: -7536\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 3\/7 (b) -0.17 (c) 1 (d) -96 (e) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44.68689 + 16.68791. Let n = -19.82 - -47.82. Let u = n + l. Round u to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x + 12*x**2 - x**5 - 2*x**2 - 8*x**2 + (x**4 + 3*x**3 - 3*x**3)*(-4*x + x - x).\nAnswer: -5*x**5 + 2*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*y**2 - 7 + 0 - 17*y**2 + 2*y**4 as k*y**3 + g*y**2 + c*y + j*y**4 + x and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 221260 divided by 23\nAnswer: 9620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 8*s - 2*u, -67*u + 72*u - 5 = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*147*123\/(-287). What is the highest common factor of 679 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2 + 0 - 5*o**3 - 21*o**2 + 1 + o - 6*o - 5*o**2. Let r be i(-5). What is the second biggest value in 4, 2\/5, -1\/4, r?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23424 is divided by 210.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 568551*j - 568803*j - 6300 = 0 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 22*r**2 + 24*r + 25. Let n be w(-23). Let v be ((-84)\/9)\/4 + n. Let d = -2\/73 + 168\/803. What is the nearest to v in d, -3, 4\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1543924?\nAnswer: 2, 31, 12451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 1. Suppose h + 20 - 22 = 0. Suppose r = 4*d - 13, r + 5 = -h*d + 16. Let y(x) = -2*x - 2. Determine r*u(p) - y(p).\nAnswer: 2*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2349516.333 rounded to the nearest 10000?\nAnswer: 2350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 244559560 rounded to the nearest 100000?\nAnswer: 244600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 21*w + 61. Let r be y(-3). Sort -4, r, -7 in decreasing order.\nAnswer: r, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 4 + 0*a - 1\/2*a**2 - 1\/3*a**3. Calculate u(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -8. Let g be a + (-1)\/(4\/(-12)). Let z(l) = l**3 - 6*l**2 + l - 4. Let f be z(g). Solve f*y = -y + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 5*f + 5. Let p be c(5). Suppose 3*n - 23 = -p. Find the third derivative of 5*z**n - 2*z**6 - 3*z**2 - z**2 wrt z.\nAnswer: 360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5352 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3 - 3*r + 2 + 4 - r**2 + 0*r + 2*r**3. Let g be v(2). Let m = 5 - 1. Solve 2*w + 12 = -2*s, m*w - 3*s + g = -1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 2*x**2. Let f(h) = -4*h**3 - 11*h**2. Let j = 37 - 35. Give j*f(u) - 11*d(u).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-5 + ((-630)\/(-196) - -2))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -152*y**2\/5 - 1458*y\/5 - 680.\nAnswer: -2*(y + 4)*(76*y + 425)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - -2 - (16 - 22) - -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = d - 301, -27*d + 32*d - a - 1379 = 0. Calculate the remainder when d is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11903 and 0.3?\nAnswer: 3570.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4779)\/16506 + (-4)\/(-14). Let n be (-183)\/(-100)*(-6)\/(-131). Let i = n + o. Which is the third smallest value? (a) -0.05 (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 499, -4, 0 in decreasing order.\nAnswer: 499, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**2\/5 - 46*x\/5 - 152\/5 = 0.\nAnswer: -19, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -11*j**4\/2 + 2*j**3\/3 + 12*j**2 + 57. What is the second derivative of k(y) wrt y?\nAnswer: -132*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2 + 19*x - 3. Let q be v(8). What is the highest common divisor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -332 times 1?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zllsjsjqjlljs. What is prob of sequence jsz?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1654 to 2 decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*m**2 + 92*m**2 + 21*m**3 + 7 - 280*m**2 + 93*m**2.\nAnswer: 21*m**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 120*u - 325. Is t(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0731105l in millilitres?\nAnswer: 73.1105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**0*u)\/u)**(-26\/3)*(u**(-20)\/u*u)\/u*u*u*u**(-1\/46)*u assuming u is positive.\nAnswer: u**(-3683\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 q when four letters picked without replacement from {h: 2, v: 2, x: 2, q: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 695052740 and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -102*h + 1295. Determine a(13).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**6\/8 - 3*w**4\/8 + 7*w**2 + 12*w. Let t(v) be the first derivative of s(v). What is the second derivative of t(b) wrt b?\nAnswer: 90*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 0. Let w = p + -14. Suppose -2*a - w*y - 8 = 0, a + 3*y - 1 = -3. Sort -1, a, 1.\nAnswer: a, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -144 + 142. What is the remainder when (6\/(-12))\/(u\/4) + 101 is divided by 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48380720 by -2419036.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 14550, 4, 49 in descending order.\nAnswer: 14550, 49, 4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -223?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28093?\nAnswer: 13, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981287 a multiple of 285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/((-1)\/15*-9). Suppose 0 = -n + p*n + 8. What are the prime factors of 19 - (n + 3)\/1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5)\/j)\/j**9*j\/j**(9\/2)*j*(j\/(j\/(j**(-12)*j)*j))\/j*j assuming j is positive.\nAnswer: j**(-241\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 35 = 2*p + r, -5*p - 2*r + 54 = 0. Let x be ((3 + -9)\/3)\/2. Calculate the lowest common multiple of p and 9\/(x - -4) - -17.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + 604?\nAnswer: 604.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l. Let r be 2 + 2 + (14 - 0). Let x = 12 + -11. Let n(m) = -x - r*m**2 + 25*m**2 + 1. Give u(n(g)).\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = -2*c - 2*c. Suppose -4*q - b + 0*b = c, -b = 5*q + 40. Calculate the remainder when 57 is divided by (-3)\/(9\/5)*q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 4, l: 10, v: 2}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 131612137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -99 + -8 + (-16 - ((10 - 7) + -8)) + -14\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**5 + 376*t**4 + 356*t**3 - 3384*t**2 - 3366*t = 0?\nAnswer: -187, -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47? (a) 0.31 (b) -0.4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 138318809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**5*f**4*f*f\/(f\/(f*f**7))*f*f**2)\/(f**(-9)*f\/(f*f**5)*f)**(-12\/5) assuming f is positive.\nAnswer: f**(-96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.4 (b) 4 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -96\/17 - -497\/85. Let n(p) be the first derivative of -p**2 + i*p**5 + 4 + 5\/3*p**3 + 0*p - p**4. Factor n(v).\nAnswer: v*(v - 2)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -112.99, -211, -15\/4 in decreasing order.\nAnswer: -15\/4, -112.99, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 354\/550403 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 r when four letters picked without replacement from {x: 8, r: 5}.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4 = 0, -25*g - 34 - 24 = g + n - 8 + 24 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -457.9 rounded to the nearest ten?\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 693428273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(132)*2 - -2*sqrt(132)*-2)\/(3*sqrt(1452)*-2 - -1*1*sqrt(1452)).\nAnswer: 2*sqrt(11)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s - 55. Let b be k(21). Is b at most 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 370 = 8*z. Let a = 189 + z. Is a a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*z = -8, 3*w - 159 = 3*z. Suppose -584 - w = -3*u. What are the prime factors of u?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 20 = 0, 10*g - 2*f - 101 = -161 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 12163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 1\/8, 2, 5\/4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j + 18*j + 5*y - 2682 = 0, -5*j - 2*y = -4451. Factor 30 + 5*b - j*b**2 + 8*b**3 - 3*b**3 + 869*b**2.\nAnswer: 5*(b - 3)*(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 4:54 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-15)*(-156)\/(-208)*-10*(-60)\/1.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 222*f + 8886. Suppose 0 = -2*o - 5*w + 13, -2*o = 3*o - 3*w - 48. Calculate the lowest common multiple of d(-40) and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - 20570)*12\/3*17\/(-102)?\nAnswer: 2, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 11*p - 14. Let i(b) = b**2 - 12*b + 11. Let w be i(10). Let c be f(w). Calculate the highest common factor of c and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 10*l**3 - 7*l**2 + l + 7. Let m(g) = 3*g**3 - 2*g**2 + 2. Let w be -1*(-6)\/(9\/3). Give w*k(p) - 7*m(p).\nAnswer: -p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55*k + 225.\nAnswer: -55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (11 - (12 - 211892)). Round i to the nearest 1000.\nAnswer: -212000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5426699 is divided by 452224?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1144 + -1143.7102. Let w = d + -0.0753. What is w rounded to two dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 2\/(-3) - 38\/57. Suppose 73*y = 51*y + 88. Solve -3*g - 19 = 5*h, -2*g + y*h + 1 + 1 = m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 33*l + 7. Let s be x(-14). Let j = -240 - s. Calculate the remainder when 36 is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12562578 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -44) + (2 + 0 - 11).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1349690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3081*2\/(-42) - (-4)\/14 is divided by (-2)\/8 + 149\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -13.77?\nAnswer: -13.77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 5:33 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 7*a - 35 = 6*a, -65 = -4*o - 5*a. Put o, 6, -4, 2 in increasing order.\nAnswer: -4, 2, 6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*l + 30*l = 1545 - 341 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3323*x**2 - 16 + 8698*x**2 + 16 + 1177*x**2.\nAnswer: 13198*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 105781049 to the power of 1\/4, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 294, 296, 298?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, v: 1, i: 4, m: 3, n: 1, s: 1}. Give prob of picking 1 x and 1 v.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 212651617 to the nearest integer?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 125.485 + -124. Let t = 1.42 - y. Which is the biggest value? (a) -3 (b) -5 (c) 1 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29078623 times -3?\nAnswer: 87235869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -32. Put -7, s, -3 in increasing order.\nAnswer: -7, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7169 is divided by 956?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.28 and 1.\nAnswer: 4.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**10\/15120 - h**4\/2 - 2*h. Let c(z) be the third derivative of u(z). Factor c(w).\nAnswer: -2*w**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 3 (c) -1\/12 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.0663262 minutes to hours.\nAnswer: 0.03443877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*t - 5093 - 4555. Let l = -197 - t. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2. Let h be (-3 - -2)*1 - -2. Let f(u) = -6*u + 2 - 3 - 3. Let i(z) = z + 1. Let g(s) = h*f(s) + 4*i(s). Calculate d(g(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*l - 21*l - 3*l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4332*v + 25837. What is w(-6)?\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 t when four letters picked without replacement from hhhttthwthtttwhh?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1608, -1658, -1708, -1758?\nAnswer: -1808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2053545 divided by 39.\nAnswer: 52655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i - 3*i - 4*i)*(15 + 6 - 1) + i - i - 2*i in the form s*i + d and give s.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 0*k + 4 + 0*k - 2*k. Let o(f) = -4*f + 9. Let g = -122 - -115. Suppose -7 = -2*c - 1. Give c*o(m) + g*w(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -231013000 - 1030?\nAnswer: -231020030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-6)\/55)\/(2\/(-70)) and 91\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 1\/6*k**3 + 3 - 1\/12*k**4 + 7*k**2 + 3*k. Let j(b) be the first derivative of l(b). Determine j(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 - 99 - (0 - 19)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 4*k + 2*l, -4*k + 4 = -3*k - l. Let u = k - 2. Let v be 2\/(-6) - ((-989)\/69 + 12). Solve v*b - 3 = -u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58756 and 5523064.\nAnswer: 5523064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.098 + -0.719. Round q to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**21*c**(2\/15))\/((c*c*c**(-21))\/(c*c**(-1\/19))) assuming c is positive.\nAnswer: c**(11708\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 90*o**3 - 26*o**2 - 26*o + 26. Let w(d) = d**2 + 60*d + 422. Let a be w(-8). Let b(j) = 10*j**3 - 3*j**2 - 3*j + 3. Determine a*f(v) - 52*b(v).\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-648)\/180*50\/(-6). Put o, 5, 1 in increasing order.\nAnswer: 1, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 33777262, 33777260, 33777258?\n\"Answer: -2*f + 33777264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110001011100011111100 (base 2) to base 7.\nAnswer: -100264652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -68, -100, -122, -128?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2527 + 467*p - 220 + 512*p - 978*p)*(-3*p**2 + 2*p**3 + 3*p**2) to the form j + l*p**3 + z*p + b*p**2 + a*p**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -92462778 divided by 2109\nAnswer: -43842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/((-264)\/1507)*4. Which is the nearest to l? (a) 3 (b) 1\/7 (c) 0.3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -2*w**3\/21 - 6*w**2\/7 - 18*w\/7 - 17. Let k(x) = 0. Calculate x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 23\/(-2))*(-796794)\/(-75645)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 3*u + 2. Suppose -109 = 12*c - 23*c - 32. What is the remainder when t(-3) is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 357\/42 + 14\/(-4). Let o = 5 + -9. Sort 4, s, o, 11 in increasing order.\nAnswer: o, 4, s, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r + 27. Let s be h(8). What is the derivative of 2*i**3 + 15*i**3 - 1 - 2*i**s wrt i?\nAnswer: 45*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 65 = -3*o, -4*o + 5*o - r + 27 = 0. Find the common denominator of 101\/98 and (106\/(o\/(20\/4)))\/4.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3*a - 4)*(2 - 1 + 6 + (-3 + 5 + 0)*(-1 + 8 - 1)).\nAnswer: 57*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i - 2*i**2 - 3*i)*(0 + 1 + 0)*(51 + 29 - 120)*(14 - 13 + 4) to b*i + p*i**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rirrrrir. Give prob of picking 2 r.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3054272.\nAnswer: 2, 13, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -136*y**2. Let b(g) = -28*g**2. What is c(b(k))?\nAnswer: -106624*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 424*b**3*u - 6*b**3 + 826*b**2*u + b*u + 3*b + 2*u - 7083 wrt u?\nAnswer: 424*b**3 + 826*b**2 + b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t = 30*t - 24. Suppose -20 = x + t*r, -x - 4*r = -r + 15. Solve x*n + 2 = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1569 - 1917 - 2788)*(-4*m + 4*m - 2*m) in the form n*m + j and give n.\nAnswer: 6272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5214 - 622. Is g a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 3 + -1 + 1. Which is greater: n or 1\/48?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(3 - (-128)\/(-42))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppprpprprprpprprpp. What is prob of sequence rrrr?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -89\/165 - 2\/33. Which is the nearest to 2? (a) w (b) -8 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 10, -14 = -3*w + 4*g - 0*g. Let b be ((-51)\/(-12))\/(w\/40). What is the remainder when 4403\/b - (-4)\/(-5) is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b**6\/2 + b**4\/12 - 21*b + 28. Let w(z) be the first derivative of p(z). Find the third derivative of w(x) wrt x.\nAnswer: 360*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 14*o + 3. Let n be a(13). Let q = n + 11. Which is smaller: 26 or q?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 84774 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + a + 7 = -3*a, -a = -2*z + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -345812*a**3 - 197796*a**2 wrt a.\nAnswer: -2074872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.262 in -0.3, -2\/911, 2?\nAnswer: -2\/911","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/9 (b) -2 (c) 0.4 (d) 31847 (e) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + j + 9, 2*x + 4*j = x - 14. Let d = -1 - x. Let v be (-50)\/18 - (-8 + 5). Is v at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 6*d**4\/5 - 5902*d**3\/15 - 438992*d**2\/5 - 5050248*d\/5 - 14930496\/5 = 0.\nAnswer: -1288\/9, -6, 483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.22 - 0.08. What is the second smallest value in -4, w, -2\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -2*s + 2, 0 = 2*w + 2*s - s - 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1557571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7453 from -98404.60593.\nAnswer: -90951.60593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g**14*g*g*g)\/(g*g**11)*(g\/(g\/(g\/(g**(2\/9)*g)))*g)\/g*g**(1\/49) assuming g is positive.\nAnswer: g**(3439\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/25)\/((-10)\/(-125))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 899 - 259. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225861 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 z(h) = 7*h - h**3 + 809*h**2 + 806*h**2 + 1 + 6 - 1605*h**2. Calculate z(11).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 989*n**4\/6 - 2099*n**3\/6 - 2209*n. Find the second derivative of s(p) wrt p.\nAnswer: 3956","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 2*z**2 + 2*z - 6. Let c be k(-5). Suppose -n - q = -3, 0*n + 14 = 3*n - 2*q. Suppose c = n*h - 65. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1057796348 + -1098.19?\nAnswer: -1098.2957796348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + (sqrt(405)*-1 - sqrt(405))*-1) - (3*sqrt(405)*6 - (sqrt(405) + 1 + sqrt(405))*-5))**2.\nAnswer: 9720*sqrt(5) + 132120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.63 - -0.7. Let s(m) = 3*m**2 - 55*m + 79. Let v be s(17). Let u be (-24)\/(-6) - (-1 + v)\/2. What is the closest to -1\/2 in r, -0.2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36130 (base 7) to base 9\nAnswer: 13717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 2. Suppose p = h - 4*h + 4500000. Round h to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -19. What is the derivative of 0*b + 7*b - 2*b + 1 - o*b wrt b?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 1. Let s(i) = -7. Let f(b) = -s(b) - 6*z(b). Let x(r) = r + 11. What is 22*f(y) - 2*x(y)?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19281 + 3*m**3 - 3*m**3 - 8*m**3.\nAnswer: -8*m**3 - 19281","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 245456 + 70?\nAnswer: 245506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 12:16 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 61*w**2 + 11. Let u(y) = y**3 + 92*y**2 - 18. Determine 8*j(s) + 5*u(s).\nAnswer: -3*s**3 - 28*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.4 (b) 0.5 (c) 0 (d) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 a when three letters picked without replacement from eaeaededdddeadadee?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1310130221 (base 4) to base 8\nAnswer: -1643451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1846, -3727, -5602, -7471, -9334?\nAnswer: -11191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -i - 7*i. Let g be (5\/(-20) + i)*-4. Suppose -3*y - 3*c + 5*c = -1630, 0 = g*y - 2*c - 2710. What is y rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/35676 and 39\/20.\nAnswer: 178380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6801543, -6801513, -6801463, -6801393, -6801303?\n\"Answer: 10*c**2 - 6801553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6*r**3 + 120*r**2 - 15*r - 31. Give p(-20).\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l - 6. Let q(x) = 5*x**2 - 6*x + 2. Let i(r) = -6*r**2 + 7*r - 2. Let g(s) = -3*i(s) - 4*q(s). Let k be g(2). Determine f(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -5*sqrt(1872) - (-4 + -2 + sqrt(1872))) + -4*(sqrt(1872) + sqrt(1872)*-1 + sqrt(1872)) + (sqrt(1872) + -1)*2)**2.\nAnswer: -576*sqrt(13) + 119817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3531 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 4:14 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*v + 39*v + 4 = 4*z, v - 1 = -3*z. Calculate the smallest common multiple of z and 1542.\nAnswer: 1542","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -41436304 (base 7) in base 8?\nAnswer: -15235315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**7\/560 + y**6\/144 + y**5\/6 - y**2. Let s(i) be the third derivative of t(i). Is s(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.047464, -21, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 316468868 a multiple of 553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/222 and -37\/18.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2650463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -80, -159, -236, -311, -384, -455, -524?\n\"Answer: q**2 - 82*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*r - 0*n + 228, -n = r - 58. Suppose -w = -7 - 5. What is the remainder when (-43)\/(r\/(-6) - -8) is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.02 * -3\nAnswer: 6.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 19*o**2 - 40*o + 63. Give a(17).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 62 divided by -2\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 8*q**2 + 10*q**2 - q**2 + 3 - 18*q**2 + 5*q. What is y(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -602 = -6*b + 1276. Suppose -z - 3*x = -x - 67, -b = -5*z + x. What is the highest common divisor of z and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 + -8 + (-15 - -10 - -6).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-6)*(-18)\/(-6). Calculate the common denominator of 5\/2 and (-20)\/p - (556\/48 + 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13286 and 68?\nAnswer: -903448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2041 + 2041. Solve -31 + 9 = 3*k - 5*w, u = 3*w - 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-27)\/v*v\/((v*v\/((v*v\/(v\/v**(-9))*v*v*v)\/v*v)*v)\/v)*(v\/(v*v**(-6\/11)))**(-2\/11) assuming v is positive.\nAnswer: v**(-4126\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2834486117.\nAnswer: 4201, 674717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 120 = 27*u, -124 = -5*u + 5*a - 89 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/2 - 216441*b**2\/2 + 324658*b - 216438.\nAnswer: (b - 216438)*(b - 2)*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 189764 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -23, -29?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + -1 - -2)\/(-1). Suppose 2*b = 2, 5*a - 1829*b - 10 = -1834*b. What is the second biggest value in m, -98, a, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -53\/8 or -2.2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2259 (base 12) to base 9.\nAnswer: -5206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11*((-2 - -3) + 0). Suppose h*q - 10*q = 19. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 1\/2*u**3 + 0*u + 11*u**2 + 5\/24*u**4 + 0 + 1\/30*u**5. Let c = -8 - -5. Give t(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*z + 24*z + 12. Let b(a) = 7*a**3 + 17*a**2 + 5*a + 11. Let k(l) = -l**3 - l**2 - l - 1. Let o(j) = b(j) + 6*k(j). Is o(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 + 71. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_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: In base 13, what is -2876b + 3?\nAnswer: -28768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 7:06 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2 - 9*g - 48. Let r be o(-4). Let p be (-135)\/r*168\/(-9). Let h = -50 + 70. Calculate the greatest common factor of p and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 395437943, 790875886, 1186313829, 1581751772?\nAnswer: 1977189715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 191419660 and 170.\nAnswer: 191419660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, d: 2, l: 6}. Give prob of picking 2 l.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -3. Suppose -f - 4*f = u. Let z = -3 + f. Is z at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 987525 - -0.161.\nAnswer: 987525.161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*z - 4350, 376*z - 2*a = 373*z + 4350. Solve -f + 1455 - z = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 444.1 (c) 1 (d) 0.05 (e) 0.02 (f) -1\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 702, 695, 678, 645, 590, 507?\n\"Answer: -v**3 + v**2 - 3*v + 705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 3:51 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 11. Let z(c) = c**2 + 5*c + 5. Let u be z(q). Suppose -u - 1 = -2*k. What is the remainder when 7 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 13*g**5\/5 + 7*g**4\/4 + 128*g**3\/3 - 286. What is the third derivative of f(t) wrt t?\nAnswer: 312*t + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33\/4 + -15\/4. Let h = -97\/6 + g. Let s(n) = 6*n + 197. Let x be s(-35). Is h at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - -7) + (-22 - -16) - -3.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-40)\/12*126\/4. Let d be 14\/a - (-2)\/15. Solve 2*h**3 + d*h**3 - 135*h - 31*h**2 + 76*h**2 - 7*h**3 + 135 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4990 - 2143*f - 4990 to n*f + k and give n.\nAnswer: -2143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1069716 divided by 919\nAnswer: -1164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s. Let c(l) = -98*l**2 - 35*l. Let z(k) = 11*k**2 + 4*k. Let g(y) = 4*c(y) + 35*z(y). Calculate t(g(m)).\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 152580644 a multiple of 1820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -292*o**2 + 3 + 280*o**2 - 1 in the form y*o**2 + u*o + b and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**5\/150 - 41*p**4\/15 + 6724*p**3\/15 + 441*p**2. Factor b(l).\nAnswer: 2*(l - 82)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0398363 or 341?\nAnswer: 341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 1 = -6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -122 + 150. What is the lowest common multiple of z and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**3\/4 + 65*o**2\/4 - 133*o\/4 + 67\/4 = 0?\nAnswer: -67, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 80, 2 in descending order.\nAnswer: 80, 2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) - (sqrt(171) + -3)) + sqrt(171))**2 + -4 + 2)*-3 + 2.\nAnswer: -532 - 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.329 + 1.329. Sort h, -0.1, -29.\nAnswer: -29, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-3)*b*(b**(-9\/4)*b)\/b assuming b is positive.\nAnswer: b**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 26*h**2 + 44*h - 87. Determine l(-24).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 233*y**2 + 1362*y + 5. Calculate u(-227).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - (34 + -138 + -13 + 2).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -10*k + 7*k + 17, 2*r = k - 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-112)\/12)\/((-6)\/9). Let h be 4\/z - (-39)\/(-210). What is the second smallest value in 1\/3, 1\/4, h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 590492727 to the nearest integer?\nAnswer: 24300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2. Let m(x) = 2*x**2 + 10*x - 21*x**2 - 10*x. Calculate m(o(h)).\nAnswer: -19*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(190)\/(-2*sqrt(10)) + (sqrt(19) + 4 + -5)**2.\nAnswer: -5*sqrt(19)\/2 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 1.437?\nAnswer: -4.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -809 + 785. Let t = -241 - -239. Which is the biggest value? (a) t (b) k (c) -2\/9 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pddkpddddkd. What is prob of picking 1 k and 1 p?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.096 or 5.2?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6916912 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396)*5.\nAnswer: 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66322514?\nAnswer: 2, 33161257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 33*u - 28*u. Is (-45)\/30*(-1228)\/u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 15*b + 22. Let a be f(-7). Is a smaller than 178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 5. Let m(x) be the first derivative of x**3 - 20*x + 2836. Determine 2*m(a) - 9*u(a).\nAnswer: -3*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (11\/5*1)\/(3\/45). Suppose 0 = -g*f + 14*f + 57. Solve f*z + 2*b - 19 = 8*z, -8 = 2*z - b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11899, 23780, 35663, 47548, 59435, 71324?\n\"Answer: k**2 + 11878*k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9223*t - 8754*t - 8763*t + 26737*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -1\/7, 7\/360, 5?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 5*w**2 + 3*w + 1. Let r(g) = g + 6*g - 4 - g**2 + 2*g. Let k be r(8). Suppose 6 = -k*n - 6. Determine d(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1424 (base 7) to base 12.\nAnswer: -3a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 2*c + 5. Let k be b(-3). Suppose 0 = -7*a + k*a. Let x = a - -2. Let v(q) = q**3 - 4*q**2 - 3*q + 3. Give v(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/9)\/(2\/(-3)). Let w be -3 + 1 + (1 - f). Let p(z) = -2*z**2 - z. Determine p(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3896303273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/(-21)*(-525)\/(-8820).\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8004 is divided by 3979?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 88972 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463393 is divided by 11300?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 48, 8 in decreasing order.\nAnswer: 48, 8, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -99 (c) 2\/5 (d) -58 (e) -0.096\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4881*x**6 - x**5 + 2*x**3 - 1716*x**2 - 22*x?\nAnswer: 585720*x**3 - 60*x**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.568 - 1.432. Which is the third smallest value? (a) 0 (b) -1\/4 (c) j (d) -80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -100, -231, -452, -793, -1284, -1955, -2836?\nAnswer: -3957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7834467l to millilitres.\nAnswer: 783.4467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1545 rounded to 3 decimal places?\nAnswer: -0.155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2085 is divided by 693.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 514 + -430. Calculate the smallest common multiple of q and 18.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 143*a**2 - 92*a - 52. Is u(-63) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 8*d + 8. Let y be b(-6). Let s be -4*(3 - (-4)\/(-4)). Let m(n) = -n**2 - 22*n - 41. Let z be m(-2). Put s, y, z in decreasing order.\nAnswer: z, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1 + -5*(sqrt(171)*2 + sqrt(171)) + (3*(sqrt(171) + -1) - sqrt(171)) + -5)**2)*-5.\nAnswer: -144925 - 3510*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 8:14 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-408800)\/3650*(-2)\/(-16)*-2?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -300\/67 - -43\/1072. Suppose 21 = -3*m + 24. What is the common denominator of d and m\/7*(-890)\/20?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 1\/3, -1\/79?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/8)*b\/b**(4\/3)*(b**(-1\/5))**(-2\/37))**(-8) assuming b is positive.\nAnswer: b**(3097\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**6\/15 + 11*v**5\/30 + 163*v**4\/12 + 40*v**3\/3 - 2040*v**2. Factor o(a).\nAnswer: -2*(a - 8)*(a + 5)*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4927.8 and -7.\nAnswer: -34494.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10855010\/65 + (-4)\/26. What is b rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, v: 2}. Give prob of picking 1 g and 2 v.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -19*z**7\/14 + z**4\/6 + 7*z**2 + 7*z. Find the third derivative of w(k) wrt k.\nAnswer: -3420*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2664)\/120)\/(2\/10). Let m = 111 + j. Suppose m*g + 17 = 17*g. Calculate the highest common factor of g and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y. Let g(h) = -h**2 - 4*h - 4. Let r(k) = -3*k**2 - 11*k - 11. Suppose -12 = t + 2*t. Let l(m) = t*r(m) + 11*g(m). What is f(l(q))?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/3514?\nAnswer: 3\/3514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 210 + -219.1. Let u = -159 - -150. Let g = u - c. Put 1, g, 2, 0.3 in decreasing order.\nAnswer: 2, 1, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -32289*l**3 - 10*l**2 + 20*l - 200. Let m be a(10). What is m rounded to the nearest 1000000?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4\/303 - 901\/606. What is the closest to 0 in g, 2, -23, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.823 times -70?\nAnswer: -57.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**4\/6 + 10*i**3 - 61*i**2 - 13168*i. Calculate s(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 19 = -397. Suppose -12*d + g + 21 = 0. Let u = -20 + 24. Which is bigger: d or u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0732 rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 - (-4 + -8)\/(-3). Let x be ((-76)\/6)\/(m\/(-6)). Solve 0 = 4*g + 5*v + 21, 6*g + x = g + v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 16*n**2 + 18*n + 38. Let i be h(-17). Let t = i - -376. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -26*h**2 + 72*h + 69. Calculate n(-1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 28*f**4 - 7*f**3 - 72*f**2 + 80*f - 23. Let x(c) = 365*c**4 - 90*c**3 - 935*c**2 + 1040*c - 300. Let p(a) = -3*x(a) + 40*z(a). Factor p(v).\nAnswer: 5*(v - 1)**2*(v + 2)*(5*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-four thirds of a century?\nAnswer: 29600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -6.34. Let p = -11 + 11.04. Let z = x - p. Which is the third biggest value? (a) 4 (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/99 + 62\/18 - 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1166.96579149 - -2374?\nAnswer: 1207.03420851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1481.8 rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 986?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((75\/255)\/(-5)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 15, 3*n - 4*x - 37 + 8 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 1. Let z(m) = -4 + 2*m - 2 + 2*m - 6*m. What is -5*f(x) - z(x)?\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 106 - 104.264. Let r = -1.8 + u. Round r to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q - 16 = -m, m - 26 = -8030*q + 8025*q for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*o**5 - 314*o**4 - 2*o + 3890 wrt o?\nAnswer: -120*o**3 - 3768*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-925)\/8880)\/(((-12)\/18)\/(24\/9)).\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (763\/218)\/((-2)\/(-80)*14).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 157*c - 972. What is l(6)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*j + a, 3 = -3*a - 0. Suppose h - 4 = 0, 4*y + 2 = h + 18. Suppose -4*b = -y*n + 76, -n + j*b = -3*n + 16. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g - 1. Let c(w) = 40*w + 2. Calculate c(h(i)).\nAnswer: 160*i - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*l - 18 = 0. Let m = 11 - l. Does 10 divide 20*m*(-3)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 6*p - 3. Let c be d(5). Let z be c\/(-8) - (-2865)\/(-60). Does 8 divide (0 + -10)\/(12\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 1009391341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 10*w - 5. Determine y(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.040886932 rounded to 5 decimal places?\nAnswer: 0.04089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24334 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 20 = -0*c. Let v be -2 - -3 - (-12 + 0). Suppose -5*s = -2*t + v, 2*s + 12 = -2*s. Put t, c, 2 in decreasing order.\nAnswer: c, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fh when two letters picked without replacement from ffrhrprfhfhphx.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157330 - 78673 - 78657 - 40*i**2.\nAnswer: -40*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -353\/3 + 118. Suppose -2*l = -18*k + 14*k - 10, 3 = -3*k. Factor 0*a - f*a**4 + 0*a**2 + 0 - 2\/3*a**l.\nAnswer: -a**3*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 673 - -56791?\nAnswer: 57464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, i: 2, a: 2, b: 4, p: 1, t: 2}. Give prob of sequence bb.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15549 and 1898?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.2395 - -0.0495. What is d rounded to 1 decimal place?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*s + 3*x = -42, 2*x + 6 = 0. Let p(n) = -2*n. Let o be p(s). Suppose -q - q + o = 0. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1268\/28 - (-4)\/(-14). Let w(m) = z - 5*m**2 + 3*m**2 - 45. Let n(t) = -7*t. Calculate w(n(b)).\nAnswer: -98*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v - 10199. Let t(q) = -q**2. Determine t(p(i)).\nAnswer: -i**2 - 20398*i - 104019601","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/101980 and -43\/9127210?\nAnswer: 18254420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n. Let h(o) = 1. Let z(s) = -3. Let l(g) = 2*h(g) + z(g). Let y(f) = 6*l(f) - 3*w(f). Differentiate y(q) wrt q.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 4830.\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j + j + 5*j + 2*j - j - 9*j + (-5 + 5 + 2*j)*(3 + 11 + 19).\nAnswer: 64*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 2:10 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p**3 - 2*p**2 + 2*p + 2. Let c be 4 - (3 - -1 - 2). Calculate the remainder when u(c) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1\/7711 (b) -2 (c) -1 (d) -5 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(55)\/(sqrt(44)\/sqrt(4))*-1.\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 61044.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22\/3*o**2 - 68 - 226\/3*o.\nAnswer: -2*(o + 1)*(11*o + 102)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/6 and (-408)\/176 - (0 - 0).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -114104?\nAnswer: -114107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 20148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16622 or 16592?\nAnswer: 16592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*v**2\/4 + 309*v\/4 + 297\/2.\nAnswer: -3*(v - 11)*(11*v + 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1217 is divided by 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -448*n**3 + 3*n**2 + 442*n**3 + 5*n**2 in the form i*n + f*n**3 + a*n**2 + u and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1560, -2808, -4888, -7800, -11544, -16120?\n\"Answer: -416*h**2 - 1144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10680 is divided by 10266?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 12 - 2 = 2*n, h + 2*n - 10 = 0. Suppose 0*d + h*d = -5*d. Suppose -4*q - u - 7 = -6*q, u = 5*q - 16. Put d, 5, q in ascending order.\nAnswer: d, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (570*226\/(-19323))\/((-2)\/(-12))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 5*x + 4. What is the smallest common multiple of z(-5) and (-29)\/(-2) + (-2)\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -691.26 and 2.\nAnswer: -689.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**5 + 0*b + 0*b + (-5*b**5 + 4*b**5 + 3*b**5)*(-3 - 4 - 3) + (-3*b**2 + 0*b + 0*b)*(-2*b**3 + 2*b**3 + b**3).\nAnswer: -22*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 220513523 (base 6) in base 15?\nAnswer: 533583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.75548 + 129.6.\nAnswer: 121.84452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4}. What is prob of picking 4 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25703 (base 9) to base 4.\nAnswer: -10032321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -0.5, 1\/4, -218.164, 0.3 in ascending order.\nAnswer: -218.164, -0.5, 1\/4, 0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -39555, -39534, -39495, -39438?\n\"Answer: 9*r**2 - 6*r - 39558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27709?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 2*k - 16, -12 + 28 = 4*r - 5*k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2*sqrt(80) + sqrt(80))*1*-3)**2.\nAnswer: -3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 2, 5, 11522, -2 in descending order.\nAnswer: 11522, 5, 2, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 18*t**2 - 19*t + 3. Let x be f(19). Suppose -2*y + 6*d - 33 = x*d, -3*d = y + 3. What is the tens digit of 8 + y\/3 - -30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1626\/(-1355)*(-10)\/(-16).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 7*l**2 + 3. Let k(c) = 16*c**2 + 7. Let o(h) = -3*k(h) + 7*m(h). Let x(d) = 18*d**2. Give o(x(t)).\nAnswer: 324*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1292\/6985 + -2\/635. Suppose 0 = -6*v + v + 5. Let d be 14\/(-3) + (-2)\/6. What is the nearest to d in -5, p, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61874.\nAnswer: 2, 30937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -203127, -203186, -203335, -203616, -204071, -204742?\nAnswer: -205671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -56 < -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (255\/(-102))\/(1*(-1)\/2). Suppose -4*k + 1073 = -0*k - y*f, -k - 4*f = -284. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3345 and 1307226?\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 539 and 539?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l**4 - 3*l**4 - 6*l**3 - l**2 + 5*l**3 to s + b*l + y*l**3 + a*l**2 + x*l**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 7*u - 3*z = 6, -2*u - 4 = z for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-13 + 13 + (0 - -1) - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 768 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 17*r**2 + 4847*r - 14518. Give k(3).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000110101101101111110 + -100?\nAnswer: -100000110101101110000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -41272116?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 52645802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1023 and 231132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 294, 914, 1534?\n\"Answer: 620*s - 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 4*v + 2, -v - 2443*r = -2444*r - 1 - 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -18. Suppose -12*w + 336 = -4*w. Let h = w + -41. Put y, -2, h in decreasing order.\nAnswer: y, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3843 or -3846?\nAnswer: -3846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 121 - 114. Suppose 5*f = b*f. Let l(c) = -c**3 - c**2 + 4*c + 6. Let y be l(-2). Solve f = -z + 3*n - 3, -4*z - 2*n = y*n - 20 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 79, 118, 157, 196?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from ttrrtttrtrrtrr?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m + 2*m + 0*m)*(3 + 2*m**2 - 19*m - 82 + 17*m) to v + u*m + s*m**3 + f*m**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 9\/2)\/((-1712)\/(-336) - (-4)\/(-42)).\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 - -0.1. Let j = 0.17 + -0.87. Let d = -2.7 - j. Which is the third smallest value? (a) -5 (b) d (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -196*n**2 + 24138*n - 3687. Calculate u(123).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.46, -2.7, -3\/7, -25?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5212341 is divided by 987.\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*d + 572 - 11 = 0 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10675 = -198*n + 205*n. Round n to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - (-5)\/5) + (-2 - 0). Let v(r) = -3*r + w + 5*r**3 + 0 + 64*r**2 - 2*r**3 - 66*r**2. List the prime factors of v(5).\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c - 18 = 11*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2450755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 47*o. Let b(l) = -3570*l. What is -6*b(m) - 455*r(m)?\nAnswer: 35*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**2 - 5446*f - 407691. What is j(-72)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d**2 + 12546*d - 26826 wrt d?\nAnswer: -2*d + 12546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 4*x - 1. Let c(t) = t**2 - 8*t - 6. Let u be c(9). Let r be d(u). Factor -4*h**4 + 0*h**5 - h**5 + 3*h**5 - 4*h**r - 6*h**3 - 3*h**5 - h.\nAnswer: -h*(h + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -20*11\/(-44)*-3. Let p(x) = 3*x - 10. Determine p(w).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 5*h + 2402*b - 2403*b, 0 = -35*h - 4*b - 37 - 56 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5018473, -20073880, -45166225, -80295508?\nAnswer: -125461729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 314161, 1256637, 2827427, 5026531, 7853949, 11309681, 15393727?\nAnswer: 20106087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -14*w**2 - 11*w + 11. Let g(j) = -9*j**2 - 2*j + 2. Let c(t) = -11*t**2 - 2*t + 2. Let f(i) = 3*c(i) - 4*g(i). What is -11*f(k) - 2*n(k)?\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(108)*2*-2)\/((sqrt(30) - (sqrt(30) + (sqrt(270) - -2*sqrt(270))))\/(sqrt(40)\/sqrt(2))))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14413 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 5*d. Suppose 0 = h - 2*h + 3. Solve x = -d*x - h for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -138*q**3 + 10*q**2 - 3*q - 5. Let o(r) = -139*r**3 + 8*r**2 - 2*r - 4. Give 5*o(a) - 4*x(a).\nAnswer: -143*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 + -2720?\nAnswer: -2705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 127. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21633329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -58, 568, -153 in decreasing order.\nAnswer: 568, 5, -58, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.1, 217, -4.5 in increasing order.\nAnswer: -4.5, -3, 0.1, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 + v. Let s be d(-2). Let h(t) = t**2 - 3*t. Calculate the remainder when h(s) is divided by ((-15)\/9)\/((-1)\/6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s = 10*s + 978. Let h = 638 + -621. Factor -5*d**2 - 72*d + h*d + 386 - s.\nAnswer: -5*(d - 1)*(d + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -655 - -1022. List the prime factors of g.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 i when two letters picked without replacement from titxr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-20)\/30)\/((-2)\/48) and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 35*r**2 + 40*r - 145. Give a(36).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11404.0021564 - -11404. Round y to 5 decimal places.\nAnswer: -0.00216","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1282 - -13.8618. Let k = f + 9.82. Let z = 24 - k. Is 0 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**4 - 1193*d**2 + 3*d**4 - 2*d**3 + 308*d - 308*d to m*d**2 + n + a*d + z*d**4 + t*d**3 and give m.\nAnswer: -1193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/3591 and 29\/31549.\nAnswer: 16184637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 2*c**2 - 3*c + 4. Let j(z) = -59 + z + 59. Let u(h) = -4*h + 1. Let t(o) = 3*j(o) + u(o). Calculate -l(m) + 4*t(m).\nAnswer: -m**3 + 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 403 = -4*z, 59 + 72 = p - 2*z. Suppose p = 2*m + 25. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.1840728 tonnes?\nAnswer: 184072.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/409 or 0?\nAnswer: -2\/409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g + 2. Let v(k) be the first derivative of -3*k**2 + 4*k - 14. What is -5*t(a) + 3*v(a)?\nAnswer: -3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -4*d**3\/7 + 576*d**2\/7 - 1124*d\/7 - 1704\/7 = 0?\nAnswer: -1, 3, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 8*d**3 - 4*d**2 + d + 4. Calculate k(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + y - 1. Let q(s) = -4*s**2 - 6*s + 8. Let d be (-4)\/(-2)*(-3 - -4 - 4). Give d*a(p) - q(p).\nAnswer: -2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 7*u + 2. What is v(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1*s*s**(2\/5)\/s)\/(s**(-1\/3)\/((s\/(s*s**(-4)*s*s))\/s))*s**5\/(s*s*s**(1\/2)\/s)*(s*s**4\/s)\/s*s\/s**(2\/15)*s assuming s is positive.\nAnswer: s**(111\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 1994 divided by 1?\nAnswer: 1994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 - w**3 + 4*w**3)*(-1 - 1 + 0)*(2 + w - 2).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -n**4\/12 + 2*n**2 + 5*n. Let q be (7 - 5)\/(-4)*-1*6. Calculate b(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*p - 4*o, -5*p - 10 = -2*o + 7*o. Suppose -3 = q - 0, -q = 3*i + 138. Let c = 47 + i. Solve 0 = p*d - 2 - c for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -4, 0.2, -32.94, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*f - 0*t - 4*t, -2*t + 8 = 0. Let k be 1\/(f\/(-6)*(-8)\/(-16)). Let v(y) = y - 1 + 3*y - 6*y. Give v(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, -233, -317, -351, -317, -197, 27, 373?\nAnswer: 859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 72 + 96 = 0. Let k(x) be the third derivative of 0 - 1\/24*x**d + 0*x + 1\/6*x**3 + 10*x**2 + 1\/30*x**5 - 1\/40*x**6. Calculate k(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1488411 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**5\/15 - 14*j**4\/5 + 112*j**3\/15 - 24*j**2\/5 = 0.\nAnswer: 0, 1, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnnnnxnxx. Give prob of sequence pn.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 208, 158, 2, -314, -844, -1642, -2762?\n\"Answer: -9*s**3 + s**2 + 10*s + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**4\/4 + 10*h**3\/3 + 12*h**2 - 7*h - 289. Give m(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 20 + 135. Calculate the remainder when (-55 + -22)*(1 + (-36)\/14) is divided by s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 h when two letters picked without replacement from dhdqdddtdtedet?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/32294 and -3\/20.\nAnswer: 322940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2840199.765 to the nearest one thousand.\nAnswer: -2840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 12.757.\nAnswer: 12.757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 11) in base 6?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 3*v = 43, -298*f + 3*v = -305*f - 35 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 34346, 68835, 103310, 137771?\n\"Answer: -7*j**2 + 34510*j - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/14, -3\/7, -2, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 901.469 + -963.43. Let h = -62 - g. Which is smaller: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9 - 0)\/((-84)\/(-56)). Let o be ((-20)\/30)\/(1\/h). Solve 0 = o*c + 2*c - 18 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-61)\/(-1098)*-120)\/(660\/(-45)).\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**5*o**2 + 3768*c**4*o**2 - 2*c*o**2 - 6*c - o + 25 wrt c.\nAnswer: 40*c**3*o**2 + 45216*c**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 289840983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 10 = -v + 4*r, -1 = -r. Suppose -7*q = 58 + 26. Put 2, q, v in decreasing order.\nAnswer: 2, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 0. Which is the smallest value? (a) -0.4 (b) z (c) 9\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 14 = 4*h. Let r = h - 4. Let o be 18\/11 + (-56)\/(-154). Solve -k - r = 0, o*w + 3*k = -5 - 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 9:03 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 140\/13*s - 2\/13*s**3 - 138\/13*s**2 = 0 for s.\nAnswer: -70, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/12 > 1\/4603?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*k + 36. Let q = -8 - k. Is -1 - (q - -2 - 12) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4) + (-14)\/20 + 6120\/2100.\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 5*c - 37, c - 5*c = 4*j + 44. Suppose -2*s + 59 = 3*q - s, -2*q - s + 40 = 0. Let h = j + q. Solve h = -b - b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*s**4 - 173*s**3 - 15931*s + 9160246 wrt s.\nAnswer: -12*s**3 - 519*s**2 - 15931","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1518556 (base 14) to base 3.\nAnswer: -201100021121201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6446 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 64622 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/3)\/(19295\/3405)\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/4 - 5*c**2\/4 + c\/4 + 5\/4.\nAnswer: -(c - 1)*(c + 1)*(c + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 4*x**3 - 1 - 3*x**3 + 3*x**3 - 2*x**3 + (1 + 1 - 3)*(2*x**3 + 4*x**2 - 4*x**2) + (6*x - x - 3*x)*(21 - 21 - 3*x**2).\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36*4\/4644*(-3)\/(-1).\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146.8846 hours to minutes.\nAnswer: 8813.076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 10 = -3*k. Solve k*t - 4 = 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.099 - 448308575386\nAnswer: -448308575386.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 2034*z + 1 - 19)*(2 + 2 - 2).\nAnswer: 4068*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-274 - -275)*(6 - (-14)\/(1 - 3)) + -51\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17656200 a multiple of 577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -99 + 101. Suppose -2*h = q*h - 2*w + 186, 0 = -4*h - 4*w - 216. Which is greater: h or -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*q + 12, q + 22 = -q - 4*m. Let h be 1\/2 + -2 + 1. Which is smaller: h or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49390 - -49360.42405. Let z = k + 263.59905. Let l = 234 - z. What is l rounded to 3 decimal places?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 - 5*l + 2. Let m be d(3). Suppose -2*t = -0*q + 2*q, 16 = -4*q. Suppose m*u + 9*c - 40 = 4*c, -46 = -t*u + 3*c. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v - 968 = -27*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/342 in 0.31, 2, -9?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 140 - 137. Calculate the remainder when 33*-1*(-1)\/3 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 170 - 166876*k**4 + 2*k**3 - 16 + 166875*k**4 - 4*k to the form f*k + y*k**2 + n*k**4 + i + w*k**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)*x\/(x\/x**(-3\/11))*(x\/(x\/(((x*x**(-2\/7))\/x*x*x)\/x)))\/((x*x*(x*((x\/x**(-2\/3))\/x)\/x)\/x)\/x))**(12\/17) assuming x is positive.\nAnswer: x**(-2980\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**2*w**2 + 29178831*o**2 + 26*o*w**2 - o*w + 4*o - 108*w**2 + w wrt o.\nAnswer: -2*w**2 + 58357662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9, g: 7}. What is prob of picking 2 y and 2 g?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 13931*s - 4004. Is i(69) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37485 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2\/7 - 12758148*y + 142424047841166 = 0.\nAnswer: 22326759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 e when two letters picked without replacement from jjgggggejgmgjjggj?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2884394 is divided by 1173?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-9)\/14)\/9)\/((9\/(-15))\/((-104)\/(-65)))?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 982271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 10471*w + 40656820 - 40656820 in the form t + c*w and give c.\nAnswer: 10471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c + 4. Let o be s(6). Is (-118)\/(-5) + (-6)\/o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -205*r**3 + 2*r**2 + 4*r - 5. Let i be j(1). Let p = i + 344. Calculate the highest common factor of p and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13, 41, 95, 181, 305, 473, 691, 965?\n\"Answer: b**3 + 7*b**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*u. Let k(c) = -c**2 + 11*c + 2. Let d be k(11). Let p be 10 + -9 - (-8)\/d. Solve -2*g + p*o - 10 = u, -2*g - o - 8 = -5*o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*k - 31*k - 228 + 4 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347 is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*l + 70007 = -73*l + 5*g, 3*l = -3*g + 52500. Does 19 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 2:39 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 + 2*s**2 - 5*s - 3. Let q be y(-3). Let r = -19 - q. What is the first derivative of j**4 + r*j**4 - 7 + 3 wrt j?\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.52 + -0.48. Is 1\/3 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 3*q**2 + 2*q - 2. Let t = -1 - 1. Let a be x(t). Suppose -488*r = -494*r - 18. Sort 5, r, 3, a in descending order.\nAnswer: 5, 3, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 379, 756, 1133, 1510, 1887, 2264?\nAnswer: 2641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25024 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 62 - 14*x - 62 + (-2 + 2 - 1)*(-2*x + 4*x - x) - 4*x + 3*x + 3*x.\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 1893 = 9*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5494199148?\nAnswer: 2, 3, 152616643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 5*u**2 - 35*u + 7. Let k be d(-9). Let l = 1 + 2. Let b(z) = -3 + 2 + 2*z - l*z. Determine b(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2. Let f(a) = -a**3 + a**2 - 4*a + 2. Let g(i) = f(i) + 2*v(i). What is g(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4400985 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-33)\/(-2)*(-116)\/174. Is (-7)\/35 - b\/((-165)\/(-159858)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 24*y - 285. What is the remainder when 498 is divided by z(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6638 = 2*r + 2*j, -2*j - 7286 = -5*r + 9281. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2492 and 21336.\nAnswer: 1898904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 5*i**2\/2 + 4153*i - 14. Is o(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 5*v - 4. Let o(f) = -f**2 - 9*f + 5. Let w be o(v). What is the third derivative of 2*d**3 - 2*d**5 - 2*d**2 - 2*d**3 + 5*d**w wrt d?\nAnswer: 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + -57. Let g be 6\/(-8) - (-69)\/(-4). Let v = g - c. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 3\/8 (c) 0.4 (d) 0.5 (e) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -285, -2608, -8907, -21168, -41377?\n\"Answer: -331*y**3 - 2*y**2 + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -280 + 271. Let x be (276\/36 + n)\/((-8)\/186). Solve -3*k - 3*t = -t + 19, -5*k = 3*t + x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523578521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + -1 - ((sqrt(5) - (sqrt(5)*2 + sqrt(5))) + 2)) + 2.\nAnswer: -1 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/29 and -56\/5961.\nAnswer: 172869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -532 - 28?\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1418 or -1420?\nAnswer: -1420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2828, 2811, 2794, 2777, 2760?\n\"Answer: -17*a + 2845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -11. Let w(h) = 13*h + 2. Let x be w(j). Let i = 7 - -3. Solve r + 3*r = 2*f + i, -3*r + x = -4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/2 - -7 - -2. Let w be (0\/(-1))\/(-1) + 2. Suppose 0 = -3*t - 5*q + 19, m*t - w*t = 2*q + 47. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/((-5)\/((-30)\/9)). Let i = -485 - -479. Which is the nearest to 0? (a) i (b) n (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -5*v - 0*v. Let d be -4*(v\/(-6) + -2). Let w = -0.06 - -5.06. What is the second biggest value in -4, w, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3808955168 to the power of 1\/3, to the nearest integer?\nAnswer: 1562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -840 - -1421. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10904195 divided by -9.\nAnswer: -10904195\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b**2 - 4*b - 9. Let g(z) be the third derivative of 1\/20*z**5 + 0 - 1\/12*z**4 + 3*z**2 - 17*z - 5\/6*z**3. Calculate 4*a(w) - 7*g(w).\nAnswer: -w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3565*s - 3295*s + 324786 = -1939*s for s.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/2 (b) -0.09 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/9 - 24\/9. Let g = 16\/15 - 2\/5. What is the closest to 1\/2 in -3\/4, g, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25881\/13 + -1991. Which is the closest to 1? (a) -0.4 (b) -0.19 (c) g (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26174\/37 - -7383301\/10101. Let q be 20*33\/546 - 2. Let j = p - q. Find the common denominator of 64\/9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2*p + 38*p**2 - 30*p**2 + 231*p**2)*(3*p - 3*p - p).\nAnswer: -239*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 151034.2 milliseconds?\nAnswer: 151034200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + c + 3*c = -36, 3*r = 4*c + 30. Let l = 22 + -16. Suppose -p = -l + 2. Solve -p*x - 18 = n, -r*x + 4*x - 4*n - 16 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -8*f**3 + 3*f**2 + 6*f + 3. Let x(o) = -7*o**3 + 2*o**2 + 5*o + 2. Let s(m) = -6*d(m) + 7*x(m). Give s(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -l, 0 = 3*v - 4*l + 9. Let d(c) = -12*c + 51. Let i be d(2). Let o be i - 5*v\/(-15). What is the highest common divisor of o and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1423, -3, 2 in ascending order.\nAnswer: -3, -1, 2, 1423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56 + 96. What is the least common multiple of x and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 10577 (c) -11 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in 2\/7, 1\/3, -2\/7, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.01 (b) 0.1 (c) 0.09 (d) 1760 (e) -3 (f) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 909160406 to the nearest integer?\nAnswer: 30152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 15*v + 59 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 2)\/((-1)\/(-5)). Let n(k) = k**2 - 4*k + 6. What is n(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 145134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}