diff --git "a/data/dm_maths/full_data_2/10130_11255.jsonl" "b/data/dm_maths/full_data_2/10130_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10130_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve 23*n - 16 = 31*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -272 + 268. Put 0.06, f, -5\/3 in descending order.\nAnswer: 0.06, -5\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 23*g - 43. Let c(z) = z**2 - 12*z + 14. Let u be c(8). What is the remainder when 82 is divided by y(u)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2)*j**(-2\/7)*j)**2\/((j\/(j\/j**2))**(-19))**(1\/8) assuming j is positive.\nAnswer: j**(201\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/5718658 and 71\/2599390.\nAnswer: 28593290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 589 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 696697733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(99)\/(sqrt(9)*3).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 734\/12633?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139125.\nAnswer: 3, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20871585 and 3?\nAnswer: -62614755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 8:44 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (120\/14)\/(-3*(-2)\/42). Let g = 145 - y. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((-2)\/(-8)*1). Let s(t) = 8 + t**2 + 9*t + 2 - 3. Give s(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + 2*y - 6*y)*(32 - 128 - 385) to r + u*y and give u.\nAnswer: 2886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 10:58 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 237918 + -237916. Determine c so that 4\/5*c**t + 2704\/5 - 208\/5*c = 0.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001 + 2012011000011210?\nAnswer: 2012011000012211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5176 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5365 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 2*k - 120990, -3*k = 2*q - 5*k - 48390. What is q rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104 and 480.\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/42 and -187\/840.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-15) - 48\/(-20). Suppose y - 19 = 5*l, y - 3*l + 17 = -7*l. Let p = y + 4. Solve i*q = p*t, t + t - 2*q = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)\/(sqrt(2) - (sqrt(2) - sqrt(2)*1)*-1))\/(3*sqrt(96)))**2.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19644, -20987, -22332, -23679?\n\"Answer: -k**2 - 1340*k - 18303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -m**3 - 1275*m + 11686 wrt m?\nAnswer: -3*m**2 - 1275","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/300 or 1?\nAnswer: -1\/300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 15 - 3 = 0, -4*k = 3*a - 30603. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 3*w + 3. What is y(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/129 and -115\/470076?\nAnswer: 470076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 - 60420*t**2 + 15153132*t - 958127116.\nAnswer: 4*(t - 14851)*(t - 127)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - ((-18)\/6 - -3). Let z be -4*3\/12*-6. Suppose -18 = -y + j, o*y + z - 39 = 5*j. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -7*w - 16. Let q(j) = -22*j - 45. Give -17*d(c) + 6*q(c).\nAnswer: -13*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -bb?\nAnswer: be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 116*q**2 + 7*q**3 - 117*q**2 - 24*q - 30*q - 3 + 53*q to f + r*q**2 + y*q + c*q**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 1, 41, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4866 - 0.1144. Let d = l - 0.099. What is the closest to d in -5, 1\/5, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6720 + 1593 - 6*r**2 - 10479 + 4*r**2 as j + g*r + i*r**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8915, 17823, 26729, 35633, 44535, 53435?\nAnswer: 62333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -86326 and -0.14?\nAnswer: 86325.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 483 divide 1055838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*k, -131*k + 118 = y - 132*k. What is the remainder when 304 is divided by y?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-27)*b*b**(-2\/65)*b)\/(b**(-25)\/b)**(7\/9))**20 assuming b is positive.\nAnswer: b**(-11252\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6, 4, 0, -6?\n\"Answer: -w**2 + w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217*r + 52*r + 3300 = 0. Which is the closest to -5? (a) r (b) -0.4 (c) 0.3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 4*x - 4*g, 2*x - 36 = 3*g + 9. Calculate the smallest common multiple of x and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 m, 1 g, and 1 o when four letters picked without replacement from ggodmmsmgmmsmdgs.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and -69110599.\nAnswer: -69110599.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 18*z**2 - 118*z - 7. Suppose 7*j - 10 = 5*j, 4*g - 5*j = 111. What is the remainder when d(8) is divided by g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336 = -19*d - 18*d + 9*d for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**2 - 2*d + 353. Let r(y) = 4*y**2 - 3*y + 340. Calculate 3*h(s) - 2*r(s).\nAnswer: s**2 + 379","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28117694 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 - 10*q**2 - 6*q - 41. Calculate i(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 680*w**2 + 15*w**2 + 119*w**2 to o*w**2 + f*w + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41916 is divided by 20260?\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 89 - x**2 - 4*x**2 - 5*x**2 - 83 in the form d*x**2 + g*x + m and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 106 - 104. Suppose c*n - 5*n + f = 287, -4*f + 208 = -2*n. Let u = 95 + n. Solve -11 - u = 3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 17*r - 54. Let o be n(13). Suppose -2*q = -q - 3*u - o, 168 = q - 4*u. What are the prime factors of q?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqnqnqnnnnnnn. What is prob of picking 1 n and 2 q?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(1\/2))\/d**(2\/7)*d\/(d\/d**(6\/5))*d**(-3))\/(d**(2\/13)*d**0*d*(d**1)**(-2)) assuming d is positive.\nAnswer: d**(-673\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-seven quarters of a milligram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2570 - 3636. Let q = a + 2025. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50262719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3, -18, -2, 2\/3, -3\/13 in decreasing order.\nAnswer: 2\/3, 0.3, -3\/13, -2, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m. Let h(x) = 13*x. Let s(w) = -33*w. Let b(n) = -12*h(n) - 5*s(n). What is b(z(k))?\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -473 and 61947644.\nAnswer: 61947171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 136721565 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1858672 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36300, 72597, 108894, 145191?\nAnswer: 181488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 110*a**2 + 249*a - 3517. Determine l(108).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 794 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -4*p + x - 15, 0 = -2*p - x + 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1850922866?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 12*v - 3. Let i(k) = k**2 + 11*k - 11. Let h be i(-11). Determine x(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 10 = 6. Let j be (-9)\/f*(-1)\/3. Let g = 2 + -2. Which is bigger: j or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 620 + -557. Let s(n) = 32*n - 52. What is the remainder when s(7) is divided by g?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211124929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + -33. Calculate the highest common factor of 27 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*w**3 + 161*w**3 - 38*w**3 - 35*w**3 - 54*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*k = -15 - 4, -k = 2*c + 16. Suppose 0 = -4*h + 4*b - b - 9, -3*h - 2*b = 11. Is h*c\/((-12)\/(-4)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 244 - 486 + j**3 - 3*j**4 + 243 - j to y*j**2 + h*j**3 + v*j + x*j**4 + a and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -378 + -621. Is (926\/(-3))\/(18\/s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 54521 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23827, -46754, -69681, -92608, -115535?\nAnswer: -138462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 6*w + 28 = 0. Suppose 0 = 5*k - w - 1. Let n(b) = -3*b**2 - 3*b - 4. Let l(h) = h**2 + h. Let u(c) = -4*l(c) - n(c). Calculate u(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.567 + 0.567. Which is the closest to 0.1? (a) -3 (b) o (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.58 + 0.64. Which is the closest to 1? (a) 2 (b) l (c) -10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 2. Let o be 1\/(-3) - 7\/u. Suppose 0 = 2*j + 4*q - 174, 3*j - q = o*q + 225. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130 and 8414081?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -10. What are the prime factors of -3 - (-26 + (6 - v))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7256 - -0.728623. Round x to four dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drrsdmddtmdd. What is prob of sequence sr?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {x: 3, l: 2, u: 5, c: 3}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -18634, -37959, -57286, -76615, -95946, -115279?\n\"Answer: -m**2 - 19322*m + 689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**2 + i + 1. Let m(p) = 2*p**2 + 6*p - 10. Let f(b) = -g(b) - m(b). Let w(a) = a**3 + a**2 + 6. Let x be w(0). Determine f(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**3\/3 + 5*v**2\/2 + 2*v - 13. Suppose 0 = 15*g - 17*g - 6. Give n(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -14 (b) 2\/9 (c) 16 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9718432932416.64 + -2?\nAnswer: 9718432932414.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 557*g**3 - 2*g - 1. Let i be s(-1). Is (-1)\/(-4) + i\/(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5 - k - 3 + 1. Let c be p(6). Sort c, 5, -4 in increasing order.\nAnswer: -4, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 88\/75 and -71\/212388615.\nAnswer: 1061943075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06 + -0.16. Suppose 18 = -3*x - 3*i, x + 9*i = 14*i + 12. What is the closest to s in 0.03, x, 3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4470, -35495, -119602, -283323, -553190, -955735, -1517490?\nAnswer: -2264987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 228 and 15220.\nAnswer: 867540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 14. Suppose 3*y = -m + 7, 2*m = -2*m + 2*y + 98. What is the remainder when k + 5 + (39 - 2) is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3520 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -0.6. Let q = 0 - s. Which is the second smallest value? (a) q (b) 5 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40*(-22)\/(-110))\/(8\/(-6))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.19 + -1.81. Let j = 87 + -955\/11. Sort j, y, 21 in descending order.\nAnswer: 21, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bd85 + -5?\nAnswer: -bd8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -7 + (-5 + (-11 - -25) - (1 - -4))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 - 39397.442.\nAnswer: -39405.442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.204249 and 0.2.\nAnswer: 0.0408498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z\/(z\/(z*z**(-1\/11))))*z)\/((z\/((z**(-1)\/z)\/z*z))\/z))\/((z**(1\/2)\/z)\/z**0)*z\/z**(-8)*z**(-5\/2)*(z\/z**5)\/z**(1\/7) assuming z is positive.\nAnswer: z**(73\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22000 - 211210100?\nAnswer: -211111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -74162 greater than or equal to -74145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 781208713.0000558 + -781208501. Let z = 212 - i. Round z to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wozjw. What is prob of sequence wj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.8*1.\nAnswer: 6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2 - (-43)\/2. Suppose 3*i - 2 = -2*x - 6, 4*x = i - w. Let b(f) = 5*f - 3. What is the remainder when b(i) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000101010010 + 1101000?\nAnswer: 1000000110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2174062117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -967957\nAnswer: -967956.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/((sqrt(72) - sqrt(8))*2))\/((sqrt(300) - (sqrt(300) + (sqrt(300) - (sqrt(300) + sqrt(300) + -1*sqrt(300)*-4)))) + sqrt(300)).\nAnswer: sqrt(11)\/240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -570, -1147, -1724, -2301, -2878?\n\"Answer: -577*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.5 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 302386297 to the power of 1\/3, to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 0 + 1\/40*n**6 + 0*n**4 + 0*n**3 + 4*n + 3\/80*n**5 + 0*n**2. Determine q, given that t(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1320 = 153*t + 402 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sufuuuquqqosqfqqfo. What is prob of sequence oous?\nAnswer: 1\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34907*m**5 - 16992*m**2?\nAnswer: 2094420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209 = -10*j + 809. What is the highest common factor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 9.1. Let g = 6.2 + -6.7. What is the closest to 0.1 in g, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-45)*12\/(-8).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/104*-2 - (-94)\/611?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o - 2 + 0*o**3 - 3*o**2 + 2*o**3 + 1. Let l(q) = q**3 - q**2 + q - 1. Suppose 0 = f, 2*w - 2 = 6*f - 7*f. Determine w*m(s) - 3*l(s).\nAnswer: -s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqxxxqxqqqxxqxxqxq.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24691566?\nAnswer: 2, 3, 163, 25247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-3 - (-8 + 3)) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, i: 8, w: 2, g: 3}. What is prob of picking 1 i and 1 w?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16672 is divided by 878.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 379280329 to the nearest integer?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 10*j - 26. Let b be n(-4). Let l(p) = 12*p**2 + 6*p + 1. What is the units digit of l(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 126150 + 435*g + 3\/8*g**2.\nAnswer: 3*(g + 580)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -56 + 405542?\nAnswer: 405475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20790778403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.024 or 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*l + 175*l = -2. Let m(p) be the second derivative of -11*p**3\/3 - p. Determine m(l).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 156*t**2*u**3 - 6*t**2*u**2*z**2 + 2*t**2*z + 17*t*u**3*z**2 - u**3*z wrt z.\nAnswer: -12*t**2*u**2 + 34*t*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 12852 + 16281. Is 6\/(-8) + q\/36 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -599, -664, -859, -1250, -1903, -2884, -4259, -6094?\nAnswer: -8455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.9 - -3.36. Let f = u + 0.14. What is the smallest value in f, -2\/13, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7.943 smaller than 10\/93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*x + 2*x + 157, 0 = -5*x + 3*k + 260. Let p = x + -33. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -597.\nAnswer: -5\/597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dkod when four letters picked without replacement from {d: 6, k: 2, o: 11}?\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1a2a (base 13) to base 12\nAnswer: 232b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + -2 - (67 + -70).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17127, -16683, -15955, -14937, -13623, -12007, -10083?\n\"Answer: y**3 + 136*y**2 + 29*y - 17293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3) + -5 + (1*sqrt(9))\/sqrt(3) + 0 + (1*sqrt(1344))\/(1*sqrt(343)))**2*5.\nAnswer: -1100*sqrt(3)\/7 + 13385\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4241 is divided by 4226\/((-31)\/(403\/(-26)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d*t**2 - 2*d*t + 60367251*d + 212378*t**2 - t wrt t?\nAnswer: -2*d*t - 2*d + 424756*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 367*a. Let z(d) = -36*d**2. Calculate z(p(o)).\nAnswer: -4848804*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -681, -5540, -18919, -45078, -88277?\nAnswer: -152776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45 - -51) + (0 - 11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*p = 12, 0 = 4*i - 7*i - p + 8. Let f(b) = 3 - 62*b**i + 57*b**2 - 3. Let y(m) = -m. What is y(f(z))?\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347924?\nAnswer: 2, 86981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6 = -3. What is the second derivative of z*i**3 - 36*i**2 + 11*i - 2*i**3 + 36*i**2 wrt i?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-5 + 3139\/86).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -143749.48 + 141009. Let t = d + 2811.4902. Let i = 71 - t. Round i to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9450)\/7*(-8)\/10 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1056 and 49746720?\nAnswer: 547213920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**3\/6 + 2*t**2 + 30*t. Calculate l(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 655870530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -206, -1664, -5658, -13466, -26366, -45636, -72554?\nAnswer: -108398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 964160 rounded to the nearest one thousand?\nAnswer: 964000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 24*m**2 - 21*m - 7. Let z be f(9). What are the prime factors of z\/20 - 6\/15?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45159*d + 7987 = -45310*d + 19068 + 6133 for d.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1750, 340, 2, -10 in descending order.\nAnswer: 1750, 340, 4, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 3, z: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2, 0 = -4*r + h - 7 - 7. Let z(u) = u**2 - 3*u + 3. Let m(t) = 2*t**2 - 4*t + 4. Suppose 2 = y - 2. Determine r*m(n) + y*z(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/5356 and -85\/312.\nAnswer: 32136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61 - -66. Which is the closest to -0.1? (a) 2 (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4559418834.\nAnswer: 2, 3, 759903139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2*-2059226\nAnswer: 4118452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 0*o + 10. Let n be (o\/(-6))\/((-22)\/(-396)). Is 227\/n - (-1)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*d - 5*t + 35 = -62*d, -276 = 19*d - 61*d - 2*t + 356 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 8*m + 7 = 0. Which is the nearest to -0.1? (a) m (b) -0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -323081637.\nAnswer: 323081640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o**2. Let a be s(-1). Suppose -c = -5*p + 15, -3*c + 9*p - 4*p = a. Calculate the greatest common factor of 20 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -40*r - 566. Let p be h(-17). Let j be 1\/2*0\/(-1). Suppose j = -c + p + 36. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0768 + -7.0768. Let k = -93\/8 + 23\/2. Let w = -0.08 + -0.22. Which is the nearest to u? (a) -4 (b) k (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j*l**2 - 396*j*l*n - j*l - 9742*j + l**2 + 20*l + 44*n with respect to l.\nAnswer: 6*j*l - 396*j*n - j + 2*l + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*v - 22*v + 317175 = 22*v. What is the ten thousands digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/56*4*12\/18\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28.9829 - 29. Let h = -0.027 - l. Round h to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61776047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1274 + 1?\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 9*i**2 + 9*i + 9. Let q be t(-8). Suppose -4*s - 3*k - 168 = 0, 2*s + 29 + 45 = -4*k. What is the common denominator of s and -2*(q + 14)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246272 to the power of 1\/2, to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1144, 1147, 1152, 1159?\nAnswer: 1168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, f: 11}. What is prob of picking 3 f and 1 r?\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**7\/70 + b**6\/40 + b**5\/20 - b**4\/8 - b**2. Let x(p) = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16202*u - 16190*u + v + 171 = 0, -5*v - 85 = 5*u for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -0.232?\nAnswer: 0.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 243 - 997 = 0. Does 62 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, l: 5, s: 8, v: 1, w: 2}. Give prob of sequence wwl.\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = c - 266, -2*c + 614 = 4*h + 68. What are the prime factors of c?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 1361 = v - 1371, 0 = v - 2*h - 28. Put -4, -5, 4, v, -2 in descending order.\nAnswer: v, 4, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 472 - 1537 + 532 - 4*p + 533.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -442277 + 806?\nAnswer: -441471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7310236069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a meter in millimeters?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10355 divided by 2?\nAnswer: 10355\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + x**2 + 3*x - 3. Let d = 31 + -34. Let g be c(d). Let y = -12 + g. Solve y = 4*w - 8 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 3*w - 2*w**2 + 4 - 1 - 7*w**3 + 6*w**3. Let b be h(-6). Let u = b + -234. Is u a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8539130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -592284.45 + 3016.493?\nAnswer: -589267.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bn when two letters picked without replacement from bkpnxcb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 898 divide 502426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2. Let p(r) = -1530*r**2 + r + 2. Determine p(u(q)).\nAnswer: -6120*q**4 + 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230269 (base 11) to base 12.\nAnswer: -158006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (322\/1610)\/(9\/(-99))?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 5*j - 5. List the prime factors of n(-9).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 2*f**2 - 2*f. Give q(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/4 + 21\/(9\/3). Suppose 11639994 = -j*h + h + 2*c, 4*c = -12. Round h to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 - 3*i**2 - 2*i**2. Let s(m) be the second derivative of -m**4\/12 + 2*m. Calculate k(s(q)).\nAnswer: -3*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3911263 = 2*n - 2028741, 5*o = 2*n - 14850004. Round o to the nearest 100000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydyi when four letters picked without replacement from {d: 2, i: 2, y: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1869431*w**3 - 3207940?\nAnswer: 5608293*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 17*k = 19*k + 4366, -q = -k - 1090. Let h = q + -528. What is h rounded to the nearest ten?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 22486 - 8854 = 0. What is the remainder when q is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13881223 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/144 - 0)\/((-5834)\/(-17502)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -47833758296?\nAnswer: -47833758295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -384227425*a**2 - 84*a + 763936.\nAnswer: -768454850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 6*v - 1112040 = -69*v. What are the prime factors of v?\nAnswer: 5, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9062505 to the nearest integer?\nAnswer: 3010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 60201191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 3:00 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(4\/7)*x*x*x**(4\/9)*(x*x\/x**(3\/4)*x)**(-34))**(-20))**(-1\/23) assuming x is positive.\nAnswer: x**(-92590\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 458562 and 858?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**15*b**(-2\/5))\/(b**2\/(b\/(b\/(b**(1\/8)\/b)))) assuming b is positive.\nAnswer: b**(469\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-1\/15)*i))**(-12)*((i**(-3\/11)*i*i)\/i)\/(i*(i**4\/i)\/i*i*i) assuming i is positive.\nAnswer: i**(-279\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 660, 0.5, 5, 0.9, -5, -0.3 in increasing order.\nAnswer: -5, -0.3, 0.5, 0.9, 5, 660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -49 and 0.04.\nAnswer: -1.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 5*f + 9. Does 3 divide g(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.1032 + -0.0368. Let q = j + 0.14. Which is the third biggest value? (a) -6 (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -56. Let u(z) = -z**2 - p*z + 20*z - 2 + 4. Let q be u(-5). Which is greater: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002494092221 rounded to 5 decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -84 - -59. Let a = s - -39. What is the remainder when 55 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eex when three letters picked without replacement from kxxeexyeeeyxe?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.41 - -0.23. Which is smaller: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 12, -4, -44 in descending order.\nAnswer: 12, 3, -1, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**8\/840 - 4*u**7\/525 - u**6\/50 + 2*u**5\/75 + u**4\/12 + 4*u**2 - 2*u. Find x such that l(x) = 0.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 684.992 + 29.198. What is u rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8316 and 19932.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 30 from -0.1.\nAnswer: -30.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.05 from 47562.\nAnswer: 47562.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -6)*4\/(-170). Let x be ((-48)\/(-160))\/(((-62424)\/(-960))\/51). Solve t*q**3 - 8\/17*q**2 + 10\/17*q - x = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 23. What is the remainder when 245 is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (200\/300)\/(-1*8\/(-6))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 3*s**2 + s + 1. Suppose -6 = -2*t - 4. Suppose -t = 4*p - 13. Let d be j(p). Solve d*f = -0*f - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 4*d**2 - 5*d + 2. Suppose -6*c - 221 = -191. Calculate v(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 302 + -2002223?\nAnswer: -2001321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 2*b - 0*b + 16, 0 = -3*b + 6. What is the remainder when (65\/(-4))\/((-1)\/l) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*c**3 + 23*c**2 - 41*c**2 + 15*c**2 to the form o*c + x + u*c**2 + z*c**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 98330 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 150021463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*k + 14 = 3*k, 0 = -k - 2. Suppose 0 = -u + 2*n - 3*n, 1 = -i*u - 5*n. Is ((-22)\/2)\/(3\/(u - 40)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 13*z - 8. Let s be 2*(0 - 4)\/1. Let b be y(s). Suppose 2*g + b = 5*i, -5*g + 34 - 6 = i. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189009158.\nAnswer: 2, 13, 131, 211, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 577641*b - 1145626.\nAnswer: 577641","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2. Let a(c) = 67*c - 5. What is a(m) - 2*x(m)?\nAnswer: 67*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/15*((-1295)\/(-147))\/37?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (8\/4)\/((-35)\/(-7)*-3)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -18*a - 16. Give q(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 156306 - 43?\nAnswer: 156233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(2 + 1)\/3. Suppose -i = -b*i + 24. Solve -3*q + 5*j = 4*j + 8, -5*q + 3*j - i = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -1936728?\nAnswer: -1\/1936728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1831 - 1205 = 443*x - 9103 - 5894 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 9, q: 1, u: 9}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11703059 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 < -17.78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r - 21. Let x(k) = -4*k - 22. Let u(p) = -4*j(p) + 3*x(p). Does 43 divide u(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11 - (-9)\/3)*-2. Suppose -5*g + u = -g. Let i(v) = 2*v - 2. Calculate i(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -23.6 (b) -16 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-342)\/874*(16277\/369 + -44)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323012 is divided by 105515.\nAnswer: 6467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**3\/3 - 2*a**2 + 21*a + 18. Let o be u(-6). List the prime factors of 186\/o*(-1 + (-1 - -5)).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 22200*y - 21231. Let s(k) = -14809*k + 14155. Let f(i) = -5*b(i) - 7*s(i). What is the first derivative of f(d) wrt d?\nAnswer: -7337","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pltt when four letters picked without replacement from {t: 4, l: 3, p: 1}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 9*g**2 + 8*g + 13. Let h be f(8). Suppose 2*u - 98 = 5*y, 3*y = 3*u - 169 + h. Is 54 not equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13, 16, 21, 28, 37?\n\"Answer: d**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z + 1. Let g be s(1). Is 1175\/(-10)*(-6)\/g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 0*z + 4*z)*(-45*z + 88*z - 48*z - 7).\nAnswer: -10*z**2 - 14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + ((sqrt(117) - (sqrt(117) + -1 - sqrt(117)) - sqrt(117)) + 2 - (4*(sqrt(117)*1 - sqrt(117)))**2)) + 4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 + -48. Which is the fourth biggest value? (a) 0.5 (b) v (c) -3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3)*(-20*q**2 - 2478 + 2478).\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 876.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/38960 or -1?\nAnswer: 1\/38960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 3142413.27?\nAnswer: -3142418.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-32)\/48 - (-488)\/3. Suppose 4*z + 3*k + 30 = 5*z, -4*k - 16 = 0. Calculate the greatest common divisor of z and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/26 - (-1 + 424\/(-52)). What is the highest common factor of l and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -9.2. Let h = 0.072 + 0.1. Let b = -0.072 + h. Put -5, w, b in descending order.\nAnswer: w, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57481858 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*p + g, 5*p - 5*g - 10 = 20. Suppose 0 = w - 2*o - 10, w + p*o - 3*o = 4. What is the units digit of (56\/12)\/(4\/w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121101223201 (base 4) to base 6.\nAnswer: -354004001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - r = -3, o + r = -1 - 0. Let h = -1 + o. Suppose -h*q = 3*p + q - 72004, 2*p - 48003 = -3*q. What is p rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfmmmffmmmm. Give prob of picking 1 f and 2 m.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -12 - 4 + 16 + 6*o**2 + 4*o**2 + o. Let n(s) = -11*s**2 - s. Give 6*n(m) + 7*q(m).\nAnswer: 4*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h + 9*h + 696 = 0. Calculate the remainder when h is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjl when three letters picked without replacement from {s: 4, j: 4, l: 5, b: 6}?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 - (-1 - (57 + 1)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33157701 rounded to the nearest 100000?\nAnswer: 33200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 592919612 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*n + 30550 = -62*n. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/12467261 and -17\/5.\nAnswer: 62336305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2. Let v(u) be the third derivative of -22*u**5\/15 + 45*u**2. What is b(v(n))?\nAnswer: -15488*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o*o**(-1\/4))\/o)\/o)**13*(o**(-2\/5))**(-2\/3))**20 assuming o is positive.\nAnswer: o**(-179\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -105500000 to the nearest 1000000.\nAnswer: -106000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 196\/11 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2712912008?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.14 + 176.86. Let o = 186 - g. Sort -3, 10, o.\nAnswer: -3, o, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.43 - 0.57. Suppose 46*o + 1075 = -489. Which is the nearest to 1? (a) 2\/9 (b) o (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1536, -1537, -1538, -1539, -1540?\n\"Answer: -r - 1535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b + 70*b = 79 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 145 - 150. What is the second biggest value in 4, a, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225598*c**2 + 451185*c**2 + 118*c - 225587*c**2 - c**3.\nAnswer: -c**3 + 118*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-460*a + 309*a - 401*a)*(-5 - 2*a + 5).\nAnswer: 1104*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 13. Suppose 2*v - o - 3 = -0*o, -5*o = 3*v + 2. Let a(p) = 4*p - 1. Let u be a(-1). Sort u, v, d.\nAnswer: u, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, q: 4, c: 4, b: 1, m: 4, i: 2}. Give prob of picking 1 b, 1 c, and 2 i.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 0.04, 3.4, 2 in decreasing order.\nAnswer: 3.4, 2, 0.04, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -496469*a + 245826*a + 247554*a in the form z*a + s and give z.\nAnswer: -3089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7364412493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 + -49. Sort -7, h, -3 in decreasing order.\nAnswer: h, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u + 1 - 1)*(-814*u + 1549*u - 801*u) to p*u**2 + y + x*u and give p.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 272030025.\nAnswer: 2992330275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**3 - 16 + 174*a + 0 + a**3 + 7*a**2 - 170*a. Let q be x(7). Suppose q*m - 86 = 274. What is the greatest common factor of 20 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + -1. Let f(v) be the second derivative of v**4\/12 + v**3 + v**2 + 2*v. Determine f(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2 - x**2 - 2. Let f(n) = -n + 4. Let u(t) = -14*t + 28. Let d(j) = 14*f(j) - 2*u(j). Calculate d(k(a)).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 11. Suppose -v + 4*q = 2*q + 1, -c*v + 47 = 4*q. What is the highest common factor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1029828.81 and 71.\nAnswer: 1029899.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/5 + (-230)\/50?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.393 and 5.\nAnswer: -1.965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 21*g**3 - 6*g**2 + 6*g - 2. Is x(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 - ((-4 - -3) + 14) - (-6 - 56)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -451*(-216)\/30996 - (1 + 1)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(22)\/(sqrt(588)\/sqrt(6)))**2*4.\nAnswer: 8*sqrt(11)\/7 + 240\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*(sqrt(396) - sqrt(396)*2) - (-1 + 2*sqrt(396))) + -4*((sqrt(396) + 1)*4 + sqrt(396)))**2 + 0)*1.\nAnswer: 3600*sqrt(11) + 158625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/8 (b) -4 (c) -14 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -l**7\/70 - l**6\/20 - l**5\/20 - 4*l**2 + 22*l. Let q(d) be the first derivative of g(d). Determine a so that q(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2555, -5114, -7667, -10214, -12755, -15290?\nAnswer: -17819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6*x - 3*x - 2*x. Let l(k) be the first derivative of 0*k**2 + 4\/3*k**3 + 0*k - 1. Determine l(g(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40906 times -0.1?\nAnswer: -4090.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 207 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2*s + 4*s - 3607, -5*s - 10777 = -3*p. Let b = p + -1978. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - y**5 + 1 + (-5*y**2 + y**2 + 5*y**2)*(0 + 2*y**3 + 0) + 5*y**5 + 2*y**5 - 2*y**5 - 2*y**5 + 0*y**3 + 0*y**3 + 3*y - y - 15*y**5 + 14*y**5.\nAnswer: 3*y**5 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27723533951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3043021 is divided by 195?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2 + 3. Let c be g - (-3 + (4 - 4)). Let n(b) be the second derivative of -b**3\/6 - 12*b. Let l(s) = s. Give c*n(i) + l(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (31005\/25 - -1)\/((-16)\/(-40))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 738 = -19*q - 877. Let s = -509\/6 - q. Let n = -3 - -10\/3. Which is the nearest to -2\/3? (a) 5 (b) n (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37\/9 + -232\/63. Is -199 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, k: 8, z: 3}. What is prob of sequence kzbb?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l + 39. What is o(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -g**2\/2 - 5. Let l(h) = 5*h + 3. Let m(t) = 6*c(t) + l(t). What is m(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170499?\nAnswer: 3, 7, 23, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 2. Suppose -3*p + 0*p = -5*g + 1, 4*p - 4*g = 4. What is the second smallest value in -1\/3, n, p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/9 (b) 3\/5 (c) 0 (d) -92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -903 + 903.000012433. What is s rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 3. Let f be h(4). Let o = 67\/152 + -5\/76. Put f, -3, o in descending order.\nAnswer: o, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 - 7*b + 6*b + 8*b**2. Give r(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2 - 9*a + 9. Let s be u(6). Let c(d) = d**2 - 4*d + 5. Let f be c(4). Suppose f*x - 45 = -0*x. What is the greatest common divisor of x and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - ((-2)\/1 - 0). Suppose 25 = -5*q, -2*o + 4*q - 393 + 1519 = g. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -143764.639 to the nearest one thousand.\nAnswer: -144000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -65 <= -69245\/1053?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3498?\nAnswer: 2, 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 51\/8 of a day?\nAnswer: 9180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 192695 to the nearest one thousand.\nAnswer: 193000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 d when two letters picked without replacement from {e: 4, d: 2, f: 1, q: 1, i: 6, h: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 7*z**2 - 13*z + 38. Calculate y(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 101080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18 - fdc3d5?\nAnswer: -fdc3bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/28 and (3 + -2)\/(600\/(-690)).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 34*b**2. Let v(w) = 29966*w. What is v(g(r))?\nAnswer: 1018844*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -34, -8, 3, 0.2, -42?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 5*s - 7. Let z be w(-7). Is (-1)\/(z\/(-28)) - -255 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((((m*m\/m**(2\/7))\/m*m)\/m)\/m)*m)**(-1\/27)\/(m**(-1\/6)*m\/(m*(m*((m**(3\/8)\/m)\/m)\/m*m*m)\/m)) assuming m is positive.\nAnswer: m**(-821\/1512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*t = -6 - 8, 0 = -5*d + 5*t + 20. What is the third derivative of 2*s + 55 + 5*s**2 - 56*s**d - 55 - 29*s**2 wrt s?\nAnswer: -6720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -335*g**2 - 6*g - 1399 wrt g?\nAnswer: -670*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/6 or -110340.9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -108 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 4. Let n = 4 - 2. Find the third derivative of -n*q**2 + q**2 - q**o + 3*q**4 wrt q.\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 285 divide 4503977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 23*t - 73. Let p be k(-4). Suppose -3*r - 10 = -5*x, 9 = 4*x + p*r + 1. Solve 3*l = 2*a - 5, -a + 2*l - 6 = -x*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 18 - 7. Let a(d) be the second derivative of d**5\/20 + d**4\/3 - d**3 + d**2 - 15*d. Determine a(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2 + h + 4*h + 3*h - 7*h. Let b(a) = 3. Calculate 2*b(q) - 3*t(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 10) in base 9?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 191040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 25584054 divided by 8528018?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 11*g + 6 - 10 - 5*g - 39 - 15. Give h(12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1026)\/(-570))\/((-115)\/16 - (-14)\/2).\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4984c0 (base 13) to base 6.\nAnswer: -101423021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, c: 1, m: 2, s: 2, n: 2}. What is prob of sequence nmmo?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*p - 11*p, -5*t = -2*p - 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n - 1 + 4*n - 2*n)*(-37*n - 9*n + 7*n) to g*n**2 + o*n + a and give g.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-15)*2\/((-2)\/(-3))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*y**3 + 24*y**2 - 11*y + 1.\nAnswer: (y + 1)*(6*y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81459 = 54*y + 11151. Calculate the highest common divisor of y and 504.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 951 + -4?\nAnswer: 94d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12, 0.2, 1\/6, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -121148927 greater than -121148937?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 412 and 20806.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3435 and 7860?\nAnswer: 1799940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4895*0.0528.\nAnswer: 258.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 642055*a - 642074*a = t - 128, -5*t - 18 = a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 754 = -39*d + 23 - 49 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85813969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 28 = 4*m, 4*s = -0*m + 5*m - 6. Let f(o) = -o**3 + o**2 - o. Let d(j) = -2*j**2 + 6*j. Give m*f(c) - d(c).\nAnswer: 2*c**3 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-10)*-2)\/(21\/(-15)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23184098 and 630?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65 - 110299*b + 64 - 129 + 18150*b.\nAnswer: -92149*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191 - 2*s - 94 - 97.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffofbfbboofffo. What is prob of picking 3 b and 1 f?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6bb + 2?\nAnswer: -6b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231, -243, -275, -333, -423, -551, -723, -945?\nAnswer: -1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.346 and -0.1?\nAnswer: 0.446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**6\/108 - 2*a**5\/45 + a**4\/9 - 7*a**3\/6 + 4*a**2. Let j(l) be the first derivative of f(l). Let j(u) = 0. Calculate u.\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1766 (base 8) to base 15.\nAnswer: -479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.34 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160382960.\nAnswer: 2, 5, 2004787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 44*d**2 - 3 + 3 - 56*d**2.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 133 + c021a?\nAnswer: c0350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1126 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 990 + -989 + -1 + (-4 - -7) + (-1 - -64)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1216))*-2 - (-1 + -1 + sqrt(1216)))**2 - ((sqrt(684) + -1 + sqrt(684) - sqrt(931)*-1)**2 + -3).\nAnswer: -58*sqrt(19) + 4091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.2, 73\/3, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 l, and 1 h when three letters picked without replacement from hllllplpllssl.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -130*t + 2. Let d be m(-1). Let z = 56 - 44. What is the greatest common factor of z and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225 divided by -45.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3069*a + 19167 = -20730 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 123525 and 4965705?\nAnswer: 24828525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2538 and 67586?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 - 11101001100010111?\nAnswer: -11101001100100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3 = -2*b. Suppose t + 4*n - 30 = -2*t, b*t - 5*n = 3. Calculate the highest common factor of 9 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 1. Let d(q) be the third derivative of -3*q**4\/2 - 5*q**3\/2 - 3*q**2 - 4*q. Give d(z) + 15*p(z).\nAnswer: -21*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1921.\nAnswer: 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 310?\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) 0.5 (c) 2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 2 = -2*x, -5*x = 374*l - 377*l - 31 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**3 + w**2 - 17*w - 37. Is s(21) 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 5733 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34.4 + -38. Round z to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x - 12. Let m be c(-15). Let z(l) be the second derivative of -40 - l**2 - m*l + l**3 + 40. What is the derivative of z(s) wrt s?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -14*m - 1. Let b be (-1 - 0) + (2 - (-2 + 2)). Determine y(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 16 = -2*o - 2*m, -28 = -4*o + 3*m. Solve -2*d + 1 = -3*q + 8*q, -o*d + q = -13 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-seven quarters of a litre?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeeee. Give prob of sequence ee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 + -0.7. Suppose 2*m - 2 + 1 = 3*j, 5 = 5*m - 5*j. Which is the biggest value? (a) s (b) m (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-170)\/56 - 43\/(-1204))*(-2 + 11)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3914818 weeks to minutes.\nAnswer: 3946.136544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*z + 40 + 91 = 0, -3*z - 648 = -5*k. What is the remainder when k is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14136 divided by -3\nAnswer: 4712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3947833, 3947832, 3947831?\nAnswer: 3947830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 38290 = -4*v, -6 + 14 = -4*s. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 10. Suppose 4*b + 3 = 3*b. Sort -4, m, b in ascending order.\nAnswer: -4, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -1321.\nAnswer: 264.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-3))\/(6\/(-9)). Let q be (1 - a)\/(-2)*-37. Let w = -24 + q. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77.4 - -80. Let a = -2.6138 + q. Round a to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z**2 - 218*z + 603. Let k be h(52). Solve 0 = 47*y - k + 459 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -51 - 160 - -31\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85807316 to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (8 + -9 - -4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 9:43 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 282398543*n**3 - 8708920*n wrt n?\nAnswer: 1694391258*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 894 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 18*b**3 - 22*b**2 - 8. Let g(j) = 27*j**3 - 36*j**2 - 13. Let l(p) = -5*g(p) + 8*z(p). Let t(n) = 10*n**3 + 4*n**2 + 1. Give 6*l(h) - 5*t(h).\nAnswer: 4*h**3 + 4*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 22*v + 72. Let j be d(-3). What is the fourth smallest value in -1\/6, j, -2, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267506 is divided by 3523?\nAnswer: 3281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03 + -0.37. Let r = 9.41 - 13.41. Sort 1\/6, y, r.\nAnswer: r, y, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/24 and 74\/237.\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36.3 - -36. What is the closest to 0.07 in -4, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/24 - 4*(-12)\/72\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, a: 1, w: 2, c: 3}. Give prob of sequence ag.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197267015 + 2517985 = 15*w. Round w to the nearest 100000.\nAnswer: 13300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 2:48 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -1\/496, -113\/2, -1\/3, 0.16, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 21048 and 21052 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 4:18 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175345*f - 12*f**2 - 351276*f + 175931*f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7790*v - 2*v**4 - 62*v**3 + 80*v**2 + 4213*v - 768 + 4065*v.\nAnswer: -2*(v - 2)**2*(v + 3)*(v + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 34254*v**2 + 31502*v - 14. Let p(c) = 11447*c**2 + 10501*c - 5. Let l(i) = 14*p(i) - 5*z(i). Find the second derivative of l(n) wrt n.\nAnswer: -22024","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 2 + 2)*(-j**2 + 3*j**2 - 4*j**2)*(5*j + 27*j - 5*j).\nAnswer: 108*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9 - 12) + 1*-2. Let z = l - -16. Let p be (-668)\/(-44) + (-2)\/z. What is the highest common divisor of 150 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61203562 divided by -7?\nAnswer: -8743366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 44656 to the nearest 1000.\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33152 + 22796 = 182*i + 20276. Suppose -5*r + 60 = r. What is the remainder when i is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 8*u - 7. Let p be v(7). Suppose -t = -p + 2, 6 = 2*m + t. Suppose -h = m*h - 320000. What is h rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -1.1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 3*q - 20. Let v(o) = -24*o**3 + 2*o**2 + 3*o + 2. Let w be v(-1). Let i = q + w. Solve -p - 2 + 0 = 0, 0 = -i*g + 3*p - 19 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(7\/6)*o**(-3\/4))\/((o*o\/o**(-10\/3))\/(o\/(o**(-25)*o))) assuming o is positive.\nAnswer: o**(241\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-8)\/j**(-1\/13))**(2\/7))**14 assuming j is positive.\nAnswer: j**(-412\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 349752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((5*(0 + 3*sqrt(108)) + (sqrt(108) + -1 + -3 - (2 + (-1*sqrt(108) - sqrt(108)))))*3)**2.\nAnswer: -11664*sqrt(3) + 315253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 2*s. Let m(n) = 3*n**2 + n. Let o(r) = -2*m(r) + w(r). Let b(i) = -23*i**2. Determine b(o(q)).\nAnswer: -575*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41.963 - -42. Let r = -8824.96369 - -8825. Let y = r - m. What is y rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 327*h**2 - 307*h**2)*(106*h**3 + 88*h**3 - 269*h**3).\nAnswer: -1500*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 5:05 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v + 45. Let c be a(-11). Let d be 1 + (-3)\/(-12)*c. Solve -d = -3*m - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 8 = -4*q, -107*q - 4 = -108*q - 2*w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 768 + -776. Sort -7, -2, x.\nAnswer: x, -7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8273937?\nAnswer: 3, 7, 393997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 322562871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 10:08 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 6*r - r. Let k be (2 + 2)*1\/r. Suppose k*u = 5*u + d + 13, 5*u - d = -19. Put 3, -1, u in ascending order.\nAnswer: u, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -15\/1237?\nAnswer: -15\/1237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -0.2, -205, 0.4, -4\/7?\nAnswer: -205","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 48*f - 317. Give i(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -123 - -125. Let l(n) = 3*n**3 + 2*n - 2 - 4*n**3 + 3*n**2 - 7*n + 4*n. Let k be l(3). What is the closest to k in -0.2, 5, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*o*p**3 - 13879*o*p**2 + 57980*p**3 wrt o.\nAnswer: 2*p**3 - 13879*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12*(3\/(-6))\/(-1). Let m = a - 12. What are the prime factors of (m\/5)\/(1\/(-5))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**4\/4 + m**3 + 5*m**2. Let o be t(-10). Suppose 5*r = 69 + o. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 386249508 and 708124098?\nAnswer: 4248744588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, -1, 0 in decreasing order.\nAnswer: 0, -1\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 0 (c) 8 (d) 40 (e) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*n**3 + 9 - 4 + 1 in the form l*n**2 + v + w*n**3 + y*n and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -464.1 - 75.9. Let d = n - -539. Is -13 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - i + i + i - 3*i + 2*i + 0*i + 3*i + 3*i + i - 2*i + (-1 + 2 + 0)*(0*i + 2*i + 0*i) + 38*i + 342 - 342.\nAnswer: 45*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 - 27. Suppose 2*f + 8 = x - f, f = d*x - 24. Let b(r) = -19*r + 158. Let u be b(8). Solve y = -3*a + x, 0 = -a + 5*y - 2*y + u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1248035 and -17284042.\nAnswer: -18532077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 115*k**2 + 462*k + 4. Let r be a(-4). Sort 6, r, -6, 1 in increasing order.\nAnswer: -6, r, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*d - 6 = 5, 4*o = 3*d - 7. Solve 2*x + 4*n = o, -4*n = 3*x - 6*x - 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3409 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2 = 8. Suppose -4*h = 4*t + 16, 2*h - 3*t = -n*t - 5. Let x(a) = 3*a**2. Let m(q) = -8*q**2 + 3*q**2 - q**2 + 4*q**2. Determine h*x(o) - 4*m(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 654.60010932 + -654.6. Round f to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2*p - 5. Let m = p - 5. Suppose 9*f - 18 = 9. Solve f*s + s - 12 = m for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 8:59 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l. Let y = 7 + -5. Let x(v) = 15*v**2 - y*v**2 - 11*v**2. Give x(r(d)).\nAnswer: 50*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -462.2 + -171.8. What is the nearest to 2\/3 in b, -0.1, -1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1157.048ng?\nAnswer: 0.001157048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -18*u**2 + 580*u - 24. Calculate w(34).\nAnswer: -1112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 146, 606, 1388, 2504, 3966, 5786, 7976, 10548?\n\"Answer: 2*r**3 + 149*r**2 - r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -8*b**3 - b**2 - 2*b - 2. Let m be i(-1). Solve r + 3 = z + 10, 4*r - m = -3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, m: 2, r: 1, p: 4}. What is prob of picking 1 a, 1 m, and 1 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 363?\nAnswer: 363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/2 - 33420*o + 2870422.\nAnswer: (o - 66754)*(o - 86)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 6*t - 6. Let a(k) = 19*k - 562. Let b be a(29). Let f(p) = -p**2 - 11*p - 11. Give b*r(i) + 6*f(i).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 7. Suppose 8*m = 2*c + 4*m + 34, -2*c - 5*m = -11. What is h(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 25.0006. Round h to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4981000 rounded to the nearest ten thousand?\nAnswer: 4980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 3. Let a be (1 + (-4)\/6)*-9 + 0. Give v(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131\/8 > -3\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9922 and 446974?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -45. Suppose f*l - 9*l - 126 = 0. Solve 0 = -4*d + l + 11 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37174140 = -21*x - 37172733 for x.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1000 - -1000. Let c(o) = 3*o**3 - 4*o**3 + 5*o**3 - 3*o**3 + o**2 + o + 3. Let y be c(q). Solve -5*v - 21 = -4*z + 3*z, -y*v - 16 = -4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1817334006 to the power of 1\/2, to the nearest integer?\nAnswer: 42630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8707, -17339, -25893, -34357, -42719?\nAnswer: -50967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1872) + 2)**2 + (sqrt(130) + (sqrt(130) - ((1*sqrt(130) - sqrt(130) - sqrt(130))*-2 + sqrt(130) - sqrt(130))))\/sqrt(10).\nAnswer: 144*sqrt(13) + 16852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5 = -f. What is the tens digit of 14\/1 + f + -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -102463.987 to the nearest ten.\nAnswer: -102460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/(-3))\/((-2)\/114))\/(665\/266)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15215, -29611, -44007?\n\"Answer: -14396*z - 819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -1\/14 (c) 0.52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3803*s**4 - 11059*s**3 - 100654752*s**2.\nAnswer: -91272*s - 66354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -2\/9 (c) 102373 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w + 40. Let r be ((-4)\/(-6))\/((-4)\/102). What is the tens digit of s(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**3\/5 + 42608*y**2\/5 + 204432*y + 6132096\/5 = 0.\nAnswer: -42584, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 786*g**2 + 11389*g**2 + 0 + 4 - 3.\nAnswer: 12175*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 68448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 divided by -70.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*v - 3*i, -v - 5*i - 26 = -10*i. Suppose 2*q + 1 - 5 = 0. Let o = q - v. Solve -t + o*t = -2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 11*w**2 - 13*w + 15. Let z be k(12). Let f = 51 + z. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 11:16 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 185 - 56. What is the remainder when y is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 128*k**2 + 13*k + 27. Let o be x(-2). Suppose 12447 = 18*b - o. Is 20 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -482567 + 3?\nAnswer: -482564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/15 (b) -5 (c) 4 (d) -0.09 (e) 0.5 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*u + 19, -4*m = -m + 3*u - 21. Suppose -4*o = 3*z - 10, -2*o = -3*o + 1. Suppose 3*w = -m*v, 5*w + 2*v = 2 + z. Solve -12 + 4 = -w*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**3\/3 + 15*t - 23. Let o(z) = -29*z + 3. Let q(u) = -29*u + 2. Let h(b) = -4*o(b) + 6*q(b). Give h(v(r)).\nAnswer: 116*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**2\/13 - 1568*l\/13 - 480 = 0?\nAnswer: -780, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**5 + d**3 - d**3 + (-1 - 2*d + 1)*(34*d**3 - 12*d**4 - 34*d**3) + (-4*d**2 + 3*d**2 + 3*d**2)*(-2*d**3 + d**3 + 2*d**3).\nAnswer: 30*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2074\/9 - -14104\/63. Find the common denominator of 59\/6 and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 604828*f - 198 = 604850*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 358.2 in 5, -2476, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a - 1. Let o(z) = -4*z + 2. Let y(w) = -7*i(w) - 5*o(w). Let s(d) = -d - 1. Let c be (-1)\/1*(0 + -1). Determine c*y(f) - 3*s(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75969 is divided by 5062?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 10 = 22. Let w be ((-3)\/2)\/(6\/t). Which is greater: -5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.8 (b) 2\/7 (c) -10298066\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -26, -24, -20, -14?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 642 + -536. Suppose -72*m = -d*m + 36890. What are the prime factors of m?\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10565 rounded to the nearest one hundred?\nAnswer: 10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1449, -2369, -3285, -4197, -5105?\nAnswer: -6009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 446466899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - 16*q**2 + 2*q + 18*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + l)*(4*l + 11*l - 2*l)*(0 + 2 + 0).\nAnswer: 26*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 3:04 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1524\/23 - 49193\/690. Let u = 0 - -1. Calculate the common denominator of v and u\/(-1) + (-34)\/28.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 810322 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*j**4 - 3*j - 11.\nAnswer: 216*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 2)*24\/12. Suppose 2*o + 8 + 98 = 4*p, -v*p - 3*o + 101 = 0. Suppose 2 = -4*j + p. Solve -l = -j*l + 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.35*-4.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.092 and 7412?\nAnswer: 7411.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1522\/16251 or -1?\nAnswer: 1522\/16251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 3*y + 30 = 0, -2*v - 3*y + 154 = 178 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 817 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 3:11 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1375)\/sqrt(5) + -3)**2.\nAnswer: -30*sqrt(11) + 283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68882939 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f - 4. Let h be x(-5). Is 37773\/h - 2\/(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (143 - 24*k**3 - 143)*(3*k + 4*k - 5*k) in the form l*k**3 + x*k + t + o*k**2 + s*k**4 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32874 - -58145. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j**2 - 1. Let n be i(-1). Let s = -286 + 306. Find the second derivative of -3*a - 7*a**2 - s*a**2 + n*a**2 wrt a.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2063459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-1)\/(-9) - (-4 - 139675\/45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/4284*-748 + (33 - 2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -746 (base 9) to base 7.\nAnswer: -1530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f - 6. Let k be l(8). Let b be (-12)\/k - (-20)\/(-6). What is the lowest common multiple of 6\/b - 70\/(-20) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sb when two letters picked without replacement from {b: 1, s: 12, i: 6}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 176490 + 176461 = -4*l, -4*l + 20 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8705 by 1741.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 1. Let h = d + 2.03. Let g = 4.97 + h. Which is the second smallest value? (a) g (b) -0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74 + 78. Suppose -8 = i*w, -3*p - 1 + 11 = -2*w. Find the third derivative of -6203*c**4 + 16*c**p + 6203*c**4 + 41*c**5 wrt c.\nAnswer: 2460*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279\/(-25)*(-13020)\/(-1953)*5\/(-4)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30555 and 11?\nAnswer: 336105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 - 2*p**2 + 0*p**2 + (3*p - 4 + 4)*(28 - 15*p - 28))*(0*p**3 - 4*p**3 + 2*p**3).\nAnswer: 88*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 4*x**2 + 5*x - 5. Suppose -4*n - 12 = -32. Let m be r(n). Let p = 1454.76 - 1454.82. Put -1, -0.4, m, p in decreasing order.\nAnswer: p, -0.4, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67\/28 + -22\/7. Suppose m + 3*b - 9 = 3*m, -m - 2*b + 13 = 0. Let l be 10\/(-25) - m\/(-5). What is the nearest to -1 in -0.3, j, l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, 0, -220\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (390\/(-13))\/((-31)\/(124\/72)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -112 - -162. What are the prime factors of 3 + n*426\/12?\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0 (c) 23518 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - 2*r**2 - 1126*r**3 + 1371*r**3)*(3*r**2 - 3*r**2 + r**2).\nAnswer: 245*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 7*f**2 + 4*f - 6. Suppose -m = -5*q + 40, -7 = -3*q - m + 9. What is g(q)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1279, -9626, -31827, -74656, -144887, -249294, -394651, -587732?\nAnswer: -835311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/8 - 299*x\/4 + 150.\nAnswer: -(x - 2)*(x + 600)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 3*q**2 + 4*q + 5. Let n = 0 - 2. Let y = -6 - n. Give m(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0.2, 0.01, -2, 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + n = -8. Suppose -4*x + 7 = 2*z - 9, 2*x = z + n. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k - 231 = 13*k - k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 120.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -143.29 - -174.29. What is the nearest to -1 in -3, -18, 4, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 9*o**2. Let t(k) = 1144*k. Give t(b(m)).\nAnswer: 10296*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 10*g - 1120. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*-2*4 - sqrt(104)) + sqrt(104))\/sqrt(8) + sqrt(130)\/(-1*sqrt(250)).\nAnswer: -41*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2587352?\nAnswer: 2, 323419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjxfooowfjxmjjfjfx. What is prob of picking 1 x and 1 w?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 113 in -0.3, -2\/5, -21204, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, i: 2, m: 3, z: 3, g: 1, a: 3}. What is prob of picking 1 g and 2 m?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 12*i - 24. Suppose 5*o + 3*b = 1770 + 1186, 0 = -i*o - 3*b + 1776. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*x - 115*x - 3325 = p, -4965 = -3*x - 3*p. Is 57 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 420083.5 to the nearest ten thousand.\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 954109 is divided by 215.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -56750, -56470, -56182, -55886, -55582, -55270, -54950?\n\"Answer: 4*l**2 + 268*l - 57022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 506*n**3 + 17*n - 17*n.\nAnswer: 506*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 - 27*x**3 + 14*x**3 + (-4*x**2 + 2*x**2 + 3*x**2)*(4*x + 0*x - x) - 21*x**3 - 10*x**3 - 3*x**3.\nAnswer: -45*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29166*k + 12155*k - 664197 + 664197 to t*k + f and give t.\nAnswer: 41321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 1 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, -55 in ascending order.\nAnswer: -55, -8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g + 2*m - 6 = 6*g, -3*g = -3*m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yfzzzzzzzkmkzzzmzm. What is prob of picking 2 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1177594 times -0.717\nAnswer: -844334.898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 38*j + 35*j = 23, -4*j = 2*s + 14 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57\/6 + (-8 - (-9 - -7)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 2, -4, -151 in descending order.\nAnswer: 13, 2, -4, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -175 by 1.\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -14*s + 18. Suppose 3*l = -5*u + 155, s*l + 28 = -u + 122. Calculate the remainder when 224 is divided by l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0881706um in nanometers?\nAnswer: 88.1706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -727979*f + 728016*f - 3 + 3 + 2*f**2 + 2041*f**4 wrt f?\nAnswer: 48984*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 3*p + 28, r = -2*p - 5 - 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1007317*t - 771322 wrt t.\nAnswer: -1007317","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 + 47 + -87 + -26?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.087935 rounded to three decimal places?\nAnswer: -0.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3431*t + 1. Let y(l) = -2*l + 1. Determine o(y(s)).\nAnswer: -6862*s + 3432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6, -979, -699 in descending order.\nAnswer: 6, -2, -699, -979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 225285921?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1328 + 0.13. What is a rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10187 is divided by 98?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from vmggmmmgvvmggjm.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 16 (b) -7 (c) 0.031 (d) 2 (e) -12 (f) 45\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 152 - 167. Does 21 divide 230\/y*21\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 divided by -1132?\nAnswer: 39\/566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*f + 50817*a**3 - 2*a**2 + 54*a*f + 8*a - 24*f wrt a?\nAnswer: -6*a*f + 304902*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0071 - -31.\nAnswer: 31.0071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 430\/599, 1, -4, 4?\nAnswer: 430\/599","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -233558, -233556, -233556, -233558, -233562, -233568?\nAnswer: -233576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -195868 divided by -1.\nAnswer: 195868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 225, -35\/8, -2\/11, 0.7, 1 in descending order.\nAnswer: 225, 38, 1, 0.7, -2\/11, -35\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 2*a - 6, -10 = 5*d + 8*a - 3*a. Let m = -7 - d. Is 1\/3 - 208\/m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ciccbyyyicb. What is prob of sequence biiy?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.735491 months to years.\nAnswer: 0.14462425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 11 = -5*d + 23, 0 = 5*z + 20. Suppose -3*q + o = -73, 62 = 2*q + 4*o - d. What are the prime factors of q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*h + 4. Let c = 7221\/56 + -1099\/8. Calculate the common denominator of c and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 2*f**2 + 4*f - 2. Let j(z) = -z**2 - 14*z - 22. Let w(t) = -4*t - 2. Let x be w(2). Let a be j(x). Let r = a + -15. Determine b(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 71*a**2\/4 - 36*a + 1 = 0.\nAnswer: 2\/71, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15.9, -32988, -0.3, -2\/9 in descending order.\nAnswer: -2\/9, -0.3, -15.9, -32988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*c = -6996 - 287, -4*c = 3*z + 10982. Let d = z + 6826. Suppose 11*x - d + 312 = 0. Is 52 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 6*g**2 + 7*g + 4. Let r be (-57)\/(-2)*-1*80\/15. Let d = r - -171. What is the remainder when d is divided by i(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 713*i**2 - 1433*i**2 + 6 + 15*i + 15*i + 715*i**2 - 27*i + 9*i**4 as n*i**4 + r*i + h*i**2 + z*i**3 + a and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -24. Suppose -1 - 5 = -n*k. What is the second derivative of -5*g**3 + 9*g**3 - k*g - 3*g**3 wrt g?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00532 to 4 dps.\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 2*z**2 - 8*z + 7*z**2 + z**2 - 1. Let j be -4*(-9)\/(-4)*-1. What is the units digit of x(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 39812911 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**2\/13 - 81710*c\/13 = 0. Calculate c.\nAnswer: 0, 40855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*c**3*j**3 - 97*c**3*j**2 - 23*c**3*j + 2*c*j**3 + 7*j wrt j?\nAnswer: 66*c**3*j - 194*c**3 + 12*c*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -231 + 236. Suppose 0 = 3*t - a*q - 2478, 4*q + 828 = t + 3*q. Does 59 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 14. Let x be m(4). Solve 0*b = -x*a + 3*b + 23, a + 2*b = -6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 992 - 525. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 3*d**4 - 24*d**3 + 207*d**2\/4 - 141*d\/4 + 15\/2 = 0?\nAnswer: 1\/2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 7764 = -9*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*f = 497 - 1729. Let r(l) = 4*l**2 + l + 1. Let d be r(-1). Suppose 7 = d*b - 5, -3*b - 123 = -4*p. Calculate the greatest common factor of p and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21971754 equal to -87887019\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*y - 3*j - 7, 4*y + 3*j = 19. Suppose 0 = 4*i - q + 2*q - 16, 2*q + 23 = 3*i. Solve b - 9 = 7*a - 2*a, y*b - 11 = -i*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25499, 102141, 229871, 408683, 638571, 919529, 1251551?\nAnswer: 1634631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/16)\/(912\/(-2432)) - (80\/42)\/(-5).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.37 (b) 1\/2 (c) -1\/7 (d) 2\/9 (e) 9 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 9*k**2 - 2*k - 10. Let v be b(-9). Suppose 0 = 2*d - v - 0. Let u be (-47)\/(-3) + (-4)\/6. Solve -d*g = g - u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (12 + 1)*(61 - 32) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u**2 - 11*u + 16. What is the tens digit of t(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8058358 by -732578.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*q**2 - 40*q**3 - 282*q**2 + 575*q**2.\nAnswer: -40*q**3 + 10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2 + 4. Are v and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*s = -10. Let g(x) = -8*x**2 - 7*x + 1. Let n(u) = -5*u**2 - 5*u + 1. Let o(r) = s*g(r) + 7*n(r). What is the derivative of o(t) wrt t?\nAnswer: 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -210*b + 374026*b**2 - 374027*b**2 + 579*b + 2403*b to the form i*b + k + r*b**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - h - 127*h + 3 + 2*h**2 - 6 to y + m*h**2 + r*h and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -38 (base 14) to base 3\nAnswer: -1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.368 - -0.221. Let r = -0.111 - t. Is r > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g. Let w(s) be the second derivative of 9*s**3 - 3\/2*s**2 + 2 + 2*s. Calculate w(k(v)).\nAnswer: -54*v - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-4977)\/316)\/((-7)\/8)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 211100201 (base 3) in base 10?\nAnswer: 16300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9493.11kg?\nAnswer: 9493110000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 6*f - 16. Let l be j(7). Let t = -73 + l. Let h(g) = -2 + 14 - g**t - g + 0*g**2 + 5. Determine h(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 466*q**2 + 195*q + 787. What is the units digit of y(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/6444 and 41\/264?\nAnswer: 141768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 7*z + 50 - 13 = -3*z + 5*r, 0 = z - 9*r + 71 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1740758*y - 870186*y - 870235*y.\nAnswer: 337*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 81\/54 + 18531\/(-174) + 1 + 17\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3312335 is divided by 184012?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71332 by 4196.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 180856226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -0.4, -3, -1\/3 in descending order.\nAnswer: -1\/3, -0.4, -4\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (1 + 72\/20). Which is greater: a or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 146.98311 months?\nAnswer: 12.2485925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-5\/2)\/(a*a**(-4))*(a**(1\/4))**(-1\/22) assuming a is positive.\nAnswer: a**(43\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u + 8. Let n(m) = 11*m + 51. Let k(z) = 22*z + 96. Let o(g) = 6*k(g) - 11*n(g). Give 5*b(v) - 3*o(v).\nAnswer: -3*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 92\/705 and 43\/79947.\nAnswer: 399735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -654.7937 and 0.11.\nAnswer: -72.027307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 53148, 53965, 54782, 55599?\n\"Answer: 817*m + 52331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -7*h**3 - 6*h**2 - 18*h. Let f(y) = y**3 + y**2 + y. Determine 6*f(j) + o(j).\nAnswer: -j**3 - 12*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - h - 2*u - 414 = 0, 3*h = -3*u + 639. Suppose 0 = l - 996 + h. What is the units digit of l\/(-8)*4\/6*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12602.\nAnswer: 2, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18 - (-189)\/(-18))\/(1\/2). Solve -15*d + x = -0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 2:24 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4463 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23074?\nAnswer: 2, 83, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.3, 0.41 in descending order.\nAnswer: 0.41, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9260 and 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 20*f - 81. Let h = -141 - -147. Let o be k(h). Factor 1\/7*l**o - 1\/7*l**5 + 0*l**4 + 0*l + 0*l**2 + 0.\nAnswer: -l**3*(l - 1)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4963949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33462 and 3447769.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1586 and 14284\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - sqrt(432)*-2*2) + sqrt(432))\/sqrt(9) + 4.\nAnswer: 4 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2793\/1111387?\nAnswer: -2793\/1111387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 - -137. Let n = 169494 + -169483. Calculate the remainder when m is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 - -2.4. Let n = -124.7 + 119.7. Put -1\/5, n, -2, f in ascending order.\nAnswer: n, -2, -1\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -819 - -819.3. Which is the second biggest value? (a) 5 (b) -2 (c) -1 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 7*j. Let l(m) = -5*m - 942. Calculate l(i(b)).\nAnswer: -35*b - 942","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5*m - 12150, -4*m = 3*p - 5944 - 3755. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390067.\nAnswer: 390067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.04 + -0.04. Let j = -0.065 + 3.065. Let x = -0.46 - 0.54. Which is the second smallest value? (a) j (b) h (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 25, 57, 93, 133?\n\"Answer: 2*s**2 + 26*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69473?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16046 and 284?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a515 + 3?\nAnswer: -a512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 3\/2 (b) 23 (c) 4 (d) -478.4 (e) -7 (f) 2\/15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 74 + -28?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -8, -2, -5 in increasing order.\nAnswer: -8, -5, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**4\/5 - 458*k**3 + 91326*k**2\/5 - 176022*k - 973728\/5 = 0.\nAnswer: -1, 21, 1104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 0*p - 5\/3*p**3 + 5*p**2 - 1\/60*p**5 + 0 - 11\/24*p**4. What are the prime factors of j(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*u**2 + 88754491368 - 88754491368.\nAnswer: -168*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 46*x - 1. Suppose -12 = 4*o - 16. Let a be c(o). Suppose m - a - 29 = 0. What are the prime factors of m?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011010000111000101 - -100001?\nAnswer: 1011010000111100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 38538 (base 10) to base 11\nAnswer: 26a55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 0.309.\nAnswer: 0.309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2669 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17280 and 152960.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515784 is divided by 1145.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 6*y**2 - 107*y - 101. Give j(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 500358?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - sqrt(88)*-2 - sqrt(88))\/(2*sqrt(44)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1)*b*b)**31\/(b\/(b\/b**(1\/3)))**6)**(1\/13) assuming b is positive.\nAnswer: b**(60\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -82960 divided by -21175?\nAnswer: 16592\/4235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116704 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t**2 - 8*t + 3. Let z be (1\/(-3))\/(2\/(-30)). Let j be u(z). Calculate the greatest common divisor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 10 = -4*d, -d + 5 = -b + 5*d. Sort 0, 9, b, 15 in increasing order.\nAnswer: b, 0, 9, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23967*f + 2736*f + 7818*f - 14536*f.\nAnswer: -27949*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 7716\nAnswer: -1\/1286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230662.\nAnswer: 2, 115331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 777?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -46\/624311 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 260301 to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 30*b**2 + 736*b + 25611. What is c(-32)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - -3*sqrt(104)*5)*6*-4)\/((sqrt(1176)*-2)\/(4*(sqrt(3) + sqrt(75)))).\nAnswer: 4608*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 422161.73 to the nearest 100.\nAnswer: 422200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 - 6*l + 7. Let c be d(8). Suppose -5*y + 4*a = -c, 3*y - 49 + 1 = a. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (((-163835)\/21 - -8) + 4)*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.09531 - 4.90469. Let i = -1153\/45 + 127\/5. Let s = 51 - 203\/4. Which is the nearest to i? (a) s (b) -0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = m - 4. Let o be (m + (-3)\/(-6))*-2. Let w(k) = 3*k**2 + 3*k. Is w(o) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + (-1*(sqrt(15) + sqrt(45)\/sqrt(3)*-1))\/(5*(sqrt(45) - -2*sqrt(45)))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1 - -2)*(26 - 25))\/(4\/172). Solve 0 = -q*i + 41*i + 4*z + 18, -4*z = -i + 17 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ig when two letters picked without replacement from {x: 1, w: 1, i: 1, b: 1, g: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-8)*(((p*p**16)\/p*p*p)\/p)\/p)\/(p**(-2\/13)*p*p*p**(-1)))**(-45) assuming p is positive.\nAnswer: p**(-4185\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -6, 3, 2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*t + 7 - 7)*(-t**2 + 0*t**2 + 0*t**2) in the form i + d*t + c*t**3 + h*t**2 and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 3*d - d - 32, 4*y + 2*d - 14 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 6*w + 35. What is x(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-265)\/220 - (-11)\/(-44) - 12\/22. Let h(q) = q**3 - q**2 - 9*q - 7. Determine h(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 85 - 78.7. What is j rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*j - 77, -2*u + 12 + 12 = -5*j. Solve -3*f = -3*w - f + 4, 5*f = 4*w - u for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 + 3 + -2 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 1\/12*h**4 + 9*h**2 + 0*h + 4\/3*h**3 + 0 + 1\/60*h**5. Let t be p(14). What is t rounded to the nearest 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b*d*v*w**3 - 3*b*d*v*w - 3*b*d - 2*b*w**2 - 2*d*v*w**3 + 3*d*v*w + 32*d*w**3 - 11*d*w wrt w?\nAnswer: 6*b*d*v - 12*d*v + 192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37d0 (base 14) to base 10.\nAnswer: -9786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*-3)\/sqrt(3).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -928.71 from -2062330.\nAnswer: -2061401.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2\/6*-1*(-1)\/(-1)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6053 + -3276. Is a 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 507, 1012, 1515, 2016, 2515, 3012?\nAnswer: 3507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250 + -2*(-1 - 5)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1380564?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 11 = d, 7 = 3*o - 2. Let f be (d\/((-483)\/(-18)))\/(2\/7). Solve 3*k - v - 13 = v, -3 = -f*k - 3*v for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 5. Let g be k(-5). Suppose g = 3*z - 0 - 9. Let a(v) = 3*v - z*v + 3*v - 2*v. Let t(l) = l**2. What is a(t(f))?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60950578 divided by -2344253.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*d = -2774, -2*m = -3*d - 3740 + 968. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 - 216*q - 515. Give s(110).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 664 is divided by 212.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38777 or 38781?\nAnswer: 38777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -204533\nAnswer: 102266.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 10 = 3*h + 2*h, 3*d - 8 = 2*h. Suppose 3*t - j = 26, -2*t - h*t = -3*j - 38. Let s be 1\/(1\/(5 - 1)). Solve s*k = w + 17, 0*k - k = w - t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**2. Let z(f) = f**2 + 1. Let h be z(1). Let s(r) = -1 - 1 + h*r + 5*r - r. What is s(p(b))?\nAnswer: -18*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -44, -37, -28, -17, -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7212*n - 130. What is the tens digit of p(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*c - 85 = 125 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -278*o + 1443. List the prime factors of r(-56).\nAnswer: 17011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1227 divided by 6\nAnswer: -409\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 360d - -26bb?\nAnswer: 5cca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -919494 divided by -39978\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5\/4 + 45*a**4 - 91*a**3.\nAnswer: a**3*(a - 2)*(a + 182)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18*-8*(-1)\/6. Let z be (20\/6)\/(k\/36). Solve -17 = 5*l - m, z*l + 3*m + 0*m = -29 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*r - 110112 = 676*r + 1196*r + 89*r for r.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**3 - y**2 - 3*y + 3. Let r(g) = 11 + 4*g - 7*g**3 - 16 + 3*g**3. Let c(q) = -2*r(q) - 3*u(q). What is c(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12341.\nAnswer: 7, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*w = 54*w - 9 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w. Let f(r) = 2*r. Let h(k) = -5*f(k) + 3*l(k). Let s(x) = 22*x**2. Calculate h(s(j)).\nAnswer: 44*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 34*l**2 + l - 7. Is n(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4277?\nAnswer: 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/45 and -53\/306?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -969, -2019, -3069, -4119?\nAnswer: -5169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 551 - 320. Let n(x) = -x**2 - 3*x - 3. Let h be n(6). Let u = -36 - h. Calculate the highest common factor of t and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 692*h - 322*h - 322*h = 1488 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**2*r**2 + 311*q**2*r - 7*q**2 - 15*q*r**2 + 396*q*r - q - 2*r wrt q.\nAnswer: 4*r**2 + 622*r - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 42167.32m?\nAnswer: 42167320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4536066611 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**3\/4 - 75*v**2\/4 = 0.\nAnswer: -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = i + 12. Suppose q + i*q - 8 = 0. Let d = q - -12. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 772843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 83277994 and 2?\nAnswer: 83277994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.5 + -6. Let j = -13 - -16.2. Let u = j - 3. What is the second biggest value in d, 2\/5, u?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20892 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 326.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -12.818?\nAnswer: 12.518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 127. Suppose l = -4*l + 2*p - 6, 0 = -2*p + 6. Is u(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8396 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.29 - 472.169.\nAnswer: -472.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.84 - -2.\nAnswer: 6.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*o**5 - 4*o**2 - 2*o + 2?\nAnswer: 520*o**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -266 and -32738 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 133892745 to the power of 1\/3, to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*g**3*j**3 + 5757*g**2*j**3 - 128*g + 3*j**3 - 686*j wrt g?\nAnswer: 132*g*j**3 + 11514*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*k + 625 = -3*r + 375, 3*r - 3*k + 55 = -7*k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -3*u + 4*d + 27, 0 = -3*u - d + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 41*h**2 + 1602*h + 114. Calculate v(-39).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 99\/(-44)*8\/(-6). Let i(l) = -371*l**3 - 5*l**2 + 9*l - 1 - 3*l + 372*l**k. Calculate i(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6251220 to the nearest 10000.\nAnswer: -6250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/(-10) + (-72)\/18. What is the closest to o in -2, -0.08, 0.3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b**2 + 6*b - 55*b**2 - 35*b**2.\nAnswer: -79*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10692 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104921563 to the nearest integer?\nAnswer: 10243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + c - 137. Let p(w) = -4*w - 24. Let m(n) = 13*n + 72. Let f(t) = 2*m(t) + 7*p(t). Let b be f(-12). Let d be y(b). Round d to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85 - 72. Suppose -2*z - 3 = -y. Is z at most 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + 0. Suppose -10*u + 4*f + 37 = -b*u, -3*u - 2*f + 13 = 0. Sort -1, -3, 1, u.\nAnswer: -3, -1, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*t = -47*t + 7. What is the lowest common multiple of 15 + 27 + (0 + -1 - t) and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 825 + 1643*b - 1617*b - 825.\nAnswer: 26*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i**3 + 17*i**2 + 11*i - 3. Let h be x(5). Is h smaller than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t + t**2)*((140 - 585 + 290)*(2 - 2 + 2) + 1 + 1 - 6)*(0 + 3 - 4).\nAnswer: 314*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2224 = y, 0*n + 5*y = -5*n + 3720. What is n rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**4\/9 + 20*o**3\/3 - 262*o**2\/9 - 236*o\/3 + 224 = 0.\nAnswer: -3, 2, 7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from agjgjggaqjgjg. Give prob of sequence aqa.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4869 = 6635*q - 11504*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1 = 2. Let z(i) = -i**2 + 15*i - 11. Let b be z(12). What are the prime factors of (-1)\/3 + b\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 8*n + 30 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -3*z + 26, 3*z + 8 = 5*j. Put -7, j, 0, -58 in ascending order.\nAnswer: -58, -7, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12520000 rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**3 - 27*m**2 + 8*m - 114. Give p(-14).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 + -54.388. Let o = -28.612 + f. Which is smaller: o or -2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/9)\/h*h**3*h*h)\/((h\/(h**(2\/69)*h))\/(h*h**(-5\/7))))**(-2\/73) assuming h is positive.\nAnswer: h**(-12182\/105777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = 8*a + 95. Let g = 97 + a. Does 33 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*r - 41*r = 944. Suppose 18*o - r*o = 4*b - 18, 0 = o + 3. Solve 3*f - s + 4*s + 15 = 0, -15 = f + b*s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -5*b - 92 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2574\/52*(-528)\/(-72). Factor -231\/2*i - q + 30*i**2 - 3\/2*i**3.\nAnswer: -3*(i - 11)**2*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -5*u - 1716*a + 1711*a, 4*u + 6*a = -52 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((21\/6)\/(-7))\/((-11)\/88). Sort -16, -0.1, 1, s in decreasing order.\nAnswer: s, 1, -0.1, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 1\/361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-3549)*(110\/275)\/((-8)\/15).\nAnswer: 1\/169","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 28*i - 37. Let s be g(-28). Suppose 45*a = 39*a + 18. Put s, a, -2 in ascending order.\nAnswer: s, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73*((-2)\/19 + (-388)\/(-76))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(2)*2*-1)\/(1*sqrt(900)*-4).\nAnswer: sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 3:40 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 234828 and 149436?\nAnswer: 1643796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 n when three letters picked without replacement from {l: 2, f: 5, n: 4, p: 1, s: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -2, 1, -69?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 295705634 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/8*(-2)\/(-2))\/((-63)\/84)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -592 + 592. Solve t = -2*n + 91 - 89 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.93 + -3.07. Sort -1\/4, h, 10.\nAnswer: h, -1\/4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 20*g**2 - 20*g - 16. Let k(y) = 3*y**3 + 59*y**2 - 60*y - 48. Let u(x) = 8*d(x) - 3*k(x). Let o be u(-18). Is -267*(0 + o\/12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4411255711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -432 + 787. Suppose 3*d = -2*d + g. Suppose -s + 121 = 2*u, 2*u - 4*s = 65 + d. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 349*s + 2023 + 1118 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 97, 80, 63, 46, 29?\n\"Answer: -17*a + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -40*x - 270. Let j be s(-7). Solve -j + 18 = 4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/18*(-4)\/(-10). Which is the second smallest value? (a) 0.2 (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-78) - 288414654\/(-286) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**2 + 0*p**2 + 0*p**2 + (21*p + 11*p - 13*p)*(13 - 13 - 10*p).\nAnswer: -186*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -954 times 65\nAnswer: -62010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3827, -3850, -3889, -3944, -4015?\n\"Answer: -8*x**2 + x - 3820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, b: 3, u: 1, p: 3, s: 1}. What is prob of picking 1 g, 1 s, and 1 b?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -3.2\nAnswer: 1.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 8*g**2 - 148*g - 69. Give m(19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 h when four letters picked without replacement from {q: 1, b: 3, y: 4, h: 3, w: 4, d: 2}.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96 + -107 + (4 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55*h - 57*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 6. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/26 + (-32680)\/(-7800). Let r(o) be the third derivative of -h*o**3 - 1\/150*o**5 + 16*o**2 + 0 + 4\/15*o**4 + 0*o. Suppose r(n) = 0. What is n?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21818, -43649, -65480, -87305, -109118?\nAnswer: -130913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.96 + 0.04. Let g = 5.06 - u. Let m = g - 1.06. Which is smaller: m or 14?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -633*i + 3176. Give d(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 + 109\/3. Let l(i) = -i**3 + 9*i**2 - 9*i + 8. Let a be l(8). Suppose -9*u + 4*u = a. Sort g, u, 1\/5 in increasing order.\nAnswer: u, 1\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 127*u - 361*u + 8941 + 19834 + 2815 for u.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35.8 - 32.8. Let l = i - 2.9. Which is the smallest value? (a) -3 (b) l (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + i - 5*i = -40, q + 2*i = 12. What is the lowest common multiple of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -26*y + 112*y + 2*y**2 - 48*y - 38*y. Let h(a) = 1760*a. Give h(t(d)).\nAnswer: 3520*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 4*a + 2. Let q(u) = 3*u**2 - 9*u - 5. Give -5*n(o) - 2*q(o).\nAnswer: -o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, e: 5}. What is prob of sequence pep?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 5*w = 14, -3*w - 14 = -3*u - 4*w - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 6*r - 58. Let l be f(-11). Let q(n) = -3*n**2 - 4*n. Let o(u) = -2*u**2 - 3*u. What is l*q(b) + 4*o(b)?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -10. Suppose -5*i = 3*t - 10, 3*i - 10 - 2 = -s*t. Let w be (-70)\/(-28)*4\/t. Solve 0 = -w*v - 3*v - 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 8*u**2 + 11*u + 6. Suppose 331*j = 324*j + 63. What is r(j)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 1740, -11, -4 in decreasing order.\nAnswer: 1740, 33, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -10. List the prime factors of 4 + p + -4 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141802 is divided by 3152.\nAnswer: 3114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (156*c**2 - 118689*c + 118689*c)*(-c - c - c**2 - c**2).\nAnswer: -312*c**4 - 312*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -272\/9 - -269\/9. What is the closest to 0.2 in 2\/19, b, 6?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (42 + -13 - -16)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168)\/(-260) - (-50)\/325?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n**3 + 2*n**2 + 3*n + 1. Let d(k) = -7*k**3 + 4*k**2 + 5*k + 3. Calculate 3*d(u) - 5*p(u).\nAnswer: -u**3 + 2*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*z - 95*z + 10 = 0. Let l(p) = 130*p + 10. Let u be l(z). What is the greatest common divisor of 120 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 times 0.6\nAnswer: -16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, e: 7}. Give prob of picking 2 a.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 24 = 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 + -4.5. What is z rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-21) - 35\/98.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8657\/7 or -1237?\nAnswer: -1237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 - 2*v**2 + v**2 + (4*v**2 - v**2 - v**2)*(-6 + 2 + 2) - 2*v + 2*v - 2*v**2 + v**2 + 2*v**2 + 2*v**2 + (3 + 3 - 3)*(-v**2 - 2*v**2 + 4*v**2).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3392431*z. Let x(b) = 2*b**2. Give x(k(i)).\nAnswer: 23017176179522*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1385 - 2120 = -317*m + 488 + 3532 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1253, 2506, 3759, 5012, 6265?\n\"Answer: 1253*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 583*z**5\/30 + 4*z**2 + 33*z. Let d(c) = -c. Determine p(d(n)).\nAnswer: 1166*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -466607.\nAnswer: -466607.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -190\/3 - -62. Which is smaller: c or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22224 + -1?\nAnswer: -22225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -134 at least -1728\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2555257 + 7?\nAnswer: -2555250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -292? (a) 5 (b) 0.3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(1377) - (-5 + sqrt(17) + sqrt(85)\/sqrt(5)).\nAnswer: 5 + 25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.8458225ns to minutes.\nAnswer: 0.000000000047430375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 122985 = 4*w, -1533*w = -1529*w + 2*f - 122982. List the prime factors of w.\nAnswer: 2, 15373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6523513?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 18910?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 + -24. Calculate the remainder when h - (-6)\/(-2 + 4) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78\/(-91)*-7*-8*36\/64.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 438853\/4024056 - -29\/12536. Find the common denominator of 53\/3 and p.\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkztqshzssq. What is prob of picking 1 t and 1 z?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 113 - 81. Suppose -6*w = -4*w - r. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 47546.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 3*u - 3. Let f(k) = -5*k + 2. Let z(t) = -6*t + 2. Let x(r) = -5*f(r) + 4*z(r). Determine x(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42195 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265268522?\nAnswer: 2, 23, 5766707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/23)*s)\/(((s**(-3\/2)\/s*s*s)\/s)\/s)*s\/(s*s*s**11)*s*s*s**(-8) assuming s is positive.\nAnswer: s**(-663\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 8*k**2 - 17*k + 9. What is the remainder when l(-9) is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -316 - -316.0257. Let z = 0.0743 + k. Which is the third smallest value? (a) -29 (b) 0 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -455*x**3 - x**2 + 9*x?\nAnswer: -2730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -355719183 minus -962878?\nAnswer: -354756305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1*m)**17*(m\/(m**(-1\/2)\/m))**(-14))\/((m**(-2))**(1\/2)\/((m**(1\/10)\/m)\/(((m**(-4)*m*m)\/m)\/m*m))) assuming m is positive.\nAnswer: m**(21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((-132)\/(-68) + -2). Let d = -31 - j. Suppose p = d*p. Solve 2*l - 2*a - 18 = 2*a, -l - a - 3 = p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -166b7 (base 13) to base 10\nAnswer: -42907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-6\/11)*b\/(b\/b**13*b) assuming b is positive.\nAnswer: b**(149\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/(-3) + 2)*15. Suppose y = 2*k + 10, -l*k - 9 = -2*y + 16. Suppose 8 = d - y. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -855549, -1711100, -2566651, -3422202, -4277753, -5133304?\nAnswer: -5988855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13070 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74*b**3*l**3 + 3467*b**3*l**2 - 7578*b**3 - 3*b**2*l - 3*b wrt l.\nAnswer: -444*b**3*l + 6934*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 967694244?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**7\/14 - b**6\/10 + 9*b**5\/10 + 7*b**4\/2 + 11*b**3\/2 + 9*b**2\/2 + 43*b. Factor q(d).\nAnswer: -3*(d - 3)*(d + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 n when three letters picked without replacement from {f: 6, r: 1, g: 1, n: 2, m: 5, v: 2}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/4*10\/(-3). Suppose -n = -c*y - 0*y - 64, 4*n - 208 = 4*y. What is the remainder when n is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -228 - -346. Let q = -62 + f. Suppose 0 = 10*u - 9*u - q. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 612 divided by 8.\nAnswer: 153\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 428302590 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-74)\/222 + 6\/(-27)*-15*1. Solve -o*l - 19 = -2*f, 0 = -10*l + 15*l - 3*f + 30 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 4*i**2 + 7*i - 10. Let x be u(4). Suppose 66 = -3*o - 3*g, x + 19 = -o - 4*g. Let k = o + 37. Calculate the remainder when k is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -283, -304, -339, -388, -451, -528?\n\"Answer: -7*c**2 - 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 204388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 22*x + 19. Determine k(-12).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4680314 minus 0.34258728?\nAnswer: -4680314.34258728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3765 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + q**2 - q. Suppose 11 = -4*d + 8 - 1. Let h = 3 - 4. Let u(i) = -i**2 + i + 1. What is d*w(l) + h*u(l)?\nAnswer: l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*542444\nAnswer: -325466.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 4212.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 5809193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.12208+-1315\nAnswer: -1316.12208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-18) + 38\/42\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -366*16\/160 + (-18)\/(-30). What is the biggest value in o, -7\/4, 1\/4, -2\/15?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1649)\/(-9) + 8\/(-36)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 - 1)*(162*j + 3620 - 3620)*(-j**2 + 3*j**2 + j**2) in the form t*j + q*j**3 + l + a*j**2 and give q.\nAnswer: -972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 2*y + j + 18, 3*j = -3*y + 6. Suppose 82 = 3*k + 4*o + o, -y*o = 4*k - 120. Calculate the highest common divisor of k and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - -11 - 8) + (0 - -2 - 6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, b: 2, k: 1, w: 2}. Give prob of picking 2 b, 1 w, and 1 k.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000655 rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**9\/35280 + 11*o**8\/70560 + o**7\/8820 - 11*o**5\/60 - 5*o**2. Let c(v) be the third derivative of l(v). Factor c(q).\nAnswer: -2*q*(q - 2)*(6*q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33101 - 11?\nAnswer: 33030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 4:08 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(8 + (-910)\/120). Solve -6 + y = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8692842.\nAnswer: 2, 3, 19, 76253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 0*h - 3*h)*(3 + 1 - 5) + 6*h - h - 3*h - 5*h + 11*h - 4*h + 3*h + h - 6*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 15*x + 18. Let w be u(-16). Solve w*b - 12 = 5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.5 - 3.45. Let x = -0.05 - 0.25. What is the nearest to 0 in -1\/8, a, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -554\nAnswer: -1\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*p**2 - 1164*p + 464.\nAnswer: 2*(p - 116)*(5*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 8 + 4 = 0. Let d = -2.8 - -3. Let c = 0.3 - d. What is the closest to c in -2, 4, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 3*c**2 - 3*c + 11. What is i(5)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76 and 1349?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1081077284 rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.047 + -0.0448. What is z rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82\/(-5)*30\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**2 + 14*f**2 - 236 - 268 + 471 + 16*f**2 to v + n*f**2 + i*f and give n.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + 0*a**2 + 5*a**2)*(0 + 0 + a)*(6 - 1 - 2).\nAnswer: 15*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 3*n + b = -3, 0 = -n + 2*b + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25131380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 132 = -32. What is the highest common factor of 30 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 943 divide 3242129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwpubuwuuunccuw. What is prob of sequence wwuw?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + sqrt(98) - 6*(sqrt(2) - (-3 + sqrt(2)))**2 - (((sqrt(2) + sqrt(2) + -1)*3)**2 - (1 + (1 + sqrt(2))**2))).\nAnswer: -122 + 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -4*r**4 + 11962*r**3\/5 + 71124*r**2\/5 + 89408*r\/5 - 9664\/5 = 0.\nAnswer: -4, -2, 1\/10, 604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrgrrrrrgrr. What is prob of sequence rr?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fiff when four letters picked without replacement from {f: 8, x: 4, i: 1}?\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29344536241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6583 divided by 3.\nAnswer: -6583\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4914)\/1755*675\/(-30).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.8 and 68.575 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000000100000000101 (base 2) to base 13.\nAnswer: -217b79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*d + 3*j, j = d - j - 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 4*a**2 - a + 5. Let d be z(4). Let t be (-1355)\/335 + -4*1\/(-1). Let k = 167\/737 + t. Which is smaller: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-7)*(-6)\/(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 7080024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1002123120 + -3?\nAnswer: 1002123111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -3772.749463677?\nAnswer: -3772.949463677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/105*4\/(-2)*66\/1386*126.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-3 - -6)*-15. Let r(o) = o**2 - 4*o - 7. Let m be r(c). Let q = 5 + m. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f - 4. Let b be s(3). Suppose -b*h - 31 = -131. Solve 17 = a - 5*q + 2*q, 5*q + h = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 702*t**5 + 240*t**5 - 725*t**3 + 725*t**3 + (2*t**3 + t**4 - 2*t**3)*(10*t - 11*t - 2*t) - 4*t**5 + 4*t**5 + t**5.\nAnswer: 940*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7 + 16 + -5 + 30*1. Solve 0 = -9*f + 2 + k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 - 9*h**2 + 3*h + 9.\nAnswer: -3*(h - 1)*(h + 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*s - 136 = 0, 6*j + 202 = j - 4*s. Let w = j - -38. Sort -3\/5, -2, w, -1 in ascending order.\nAnswer: w, -2, -1, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56994.94 rounded to the nearest one hundred?\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -6 (c) -0.4 (d) 3\/4 (e) -0.10366 (f) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*l - 13, 2*y - 2*l = -5*l - 9. Suppose y*x - 5*x + 12 = d, 5*x = -d + 27. Calculate the remainder when 14 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 p when four letters picked without replacement from {d: 3, n: 2, l: 1, i: 7, p: 5}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.06176 + -901.56724. Let f = h - -914. Round f to 1 decimal place.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -91526 and 262.\nAnswer: -23979812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v + 27. Let f be d(11). What is the greatest common divisor of f and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 3, 2277, 3\/2.\nAnswer: 1\/9, 3\/2, 3, 2277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 124546741*j**3 - 374047665*j**2?\nAnswer: 747280446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 63276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/125214117 and 40\/53663193.\nAnswer: 375642351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -391 - -440. What is the remainder when 100 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3436\/47245)\/((-2)\/(-5)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 25 (c) 3\/2 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 47746250\/((-9)\/216*3). Round v to the nearest one million.\nAnswer: -382000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -376*c**2 + 3451*c**2 - 109*c**2.\nAnswer: 2966*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = -9*o - 10. Suppose 32 = -o*h + 77. Solve -8*d**4 - h*d**3 - 3*d + 12*d**5 + 15*d**2 - 3*d**4 - 4*d**4 = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*9*(-6)\/54?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*r**3 - 60*r**2 + 30*r**3 + 60*r**2 - 20*r**3.\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, o: 2, q: 6, l: 3, h: 1}. What is prob of picking 1 o and 1 t?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 22.148705.\nAnswer: 11.0743525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00149023 rounded to 5 dps?\nAnswer: -0.00149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 2. Suppose 0 = 7*n - n + 48. Let h(x) = 4*x + 4. Let o(l) = -6*l - 6. Let i(g) = n*h(g) - 5*o(g). Determine 2*i(b) - 3*s(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3825 + -3815. Solve t = -13*u + 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z - 1 = 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 16820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, 0.2, 10, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6.5 times 4\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 3. Let b be p(-8). Suppose 61 + 39 = b*v. Let a(r) = -126*r + v*r + 71*r. Let o(i) = 2*i**2. Calculate a(o(t)).\nAnswer: -70*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 23165 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 8:21 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525423.\nAnswer: 3, 175141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * -238.56609.\nAnswer: 2862.79308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -353036134 greater than or equal to -353036134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*u**2\/7 - 6984*u\/7 - 12096 = 0. Calculate u.\nAnswer: -12, 1176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b + 13*b**2 + 4*b**3 - 3*b**3 + 6*b - 10. Let i(o) = 11*o - 5. Let q be i(0). Is y(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tsddstddb. What is prob of picking 1 s and 2 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-14)\/(-4))\/(-7)) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2420, -5079, -8228, -12113, -16980, -23075, -30644, -39933?\nAnswer: -51188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47537272 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 3*v - 8*v - 45, -3*w - v + 11 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y - 345*y**4 + 267*y**4 - y**3 + 6*y as v*y**3 + u*y**4 + l + z*y + b*y**2 and give u.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30 - -2a4?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vg when two letters picked without replacement from xkxgxvvvxvxkx.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -5, 2, 1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 73174 * 1879\nAnswer: 137493946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**3\/3 + 5*j**2 - 28*j. Let q be t(-3). Let p be q + (-3 - 0)\/(-3). Solve 4*s + 36 = p*h, -5*h = -2*s - 7*h for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1311559.641ns?\nAnswer: 0.0000000021685840625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-10)*(-260)\/312.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qnngqnnrunngnmgnu. What is prob of sequence nrgm?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 11*(-58)\/30 - 1280\/80?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 857 + 880 + 891 - 11*z - 3518 + 890.\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4440 - 3950. Calculate the greatest common divisor of 210 and b.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06042 + 3365.06042. Is l less than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 197.16 + -0.115\nAnswer: 197.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + (-6*(sqrt(91) - 2*sqrt(91)) - sqrt(91)))\/sqrt(7).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9449793 is divided by 303?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.32 - -2.68. What is the nearest to 2 in 5\/3, i, 5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -0.05.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 10*n**3 + 2*n**2 + 2*n + 1. Let x(m) be the third derivative of m**4\/24 + m**3 - m**2. Let t be x(-6). Let z = t + -1. What is v(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.66*-10400412.\nAnswer: 17264683.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.13 + 5.13. Suppose -4*w - 2*p + 12 = -0*w, 4*p = -w - 4. Suppose 0*v - w*v = -d + 7, -13 = -4*d + v. What is the biggest value in d, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-3)*6555\/(-4600)*-8?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k**2 - 5*k + 5. Let z(i) = 9*i**2 + 10*i - 9. Let g(n) = 5*t(n) + 3*z(n). Solve g(c) = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2 + 2. Let d be (1 - 23\/8) + ((-4844)\/16)\/(-173). Is f > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*i - 130 = -99*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 2*l**3\/3 - l**2 + 5*l. Let i(q) = -3*q + 8*q - 4*q. What is -2*i(a) + n(a)?\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(12)*1 + 1*sqrt(1200))\/(sqrt(150) + -1*-2*sqrt(150) + sqrt(150) - sqrt(150) - (sqrt(150) + 6*sqrt(150)*1)).\nAnswer: -7*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 - 2*p**3 - p**3 + (-2 + 2 - p**2)*(0*p - p + 2*p) - 2*p + 2*p - p**3 + 2*p.\nAnswer: -4*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 1\/6, 1, -813 in decreasing order.\nAnswer: 1, 1\/6, 1\/8, -813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**22)**(-12\/11)\/(q**(10\/7)*q\/(q*q*q**(-10))) assuming q is positive.\nAnswer: q**(961\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1060, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5, -3*r = 3*q - 0 + 18. Let s(g) = -2*g + 7. Let x(y) = -6*y + 20. Determine r*s(v) + 4*x(v).\nAnswer: -2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 1:34 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 9*n + 8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*x + 30 = 0. Let n be 2\/x + 4\/(-48). Let l = 0.1 - 0.5. Put l, -2, n in descending order.\nAnswer: n, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15372.6392 - -0.22.\nAnswer: -15372.4192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2664462*c**2*j**3 - c**2*w - 56*c*j**3 - c*w - 54*c + 2*j**3*w - 5*j**2 - 3*j wrt c.\nAnswer: 5328924*j**3 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*r = 36*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 1 + 0 + (-8 - (13 + -23)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 134857 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w. Suppose -70 = -3*v - 19. Let y(f) = -3*f**2 + v - 17 + 4*f**2. Give p(y(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**4 + 5 - j**2 - 14 + 10 to t + g*j**3 + k*j + y*j**4 + l*j**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 2 + (2 - 2 - 1)*(4 - 2 + 2) + (-5 + 1 + 2)*(-2 + 0 + 1)*(4 - 1 + 0))*(-5*j + 3*j + j) as r + i*j and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 148578*p + 1839618507.\nAnswer: 3*(p + 24763)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + 0*r**2 - 3*r**2)*(2*r**3 - 7 + 6*r + 7).\nAnswer: -2*r**5 - 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*1*-4)\/(-4*sqrt(36)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 26. Do x and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 8688*u**2 - 6*u + 16. Let b be o(4). Round b to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -25. Let o(f) be the first derivative of f**3\/3 + 5*f**2\/2 + 11*f + 7. Let r be o(u). Calculate the greatest common divisor of 14 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 144965\/111 - 1306. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 1 - (3 + -13 + 31).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**4\/108 - 5*p**3\/18 + 2*p**2 - 2*p - 86. Factor i(x).\nAnswer: (x - 12)*(x - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 11*a + 528. Calculate the smallest common multiple of c(-47) and 117.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*v + v + 10*v)*(v**3 + v**3 + 0*v**3 + (-2*v**2 + 0*v**2 + v**2)*(2*v + 2*v - 6*v) + 4*v**3 - 7*v**3 + 2*v**3).\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(40\/8))\/(1\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.541 - -0.604. Put 0.5, -0.1, -0.2, m in decreasing order.\nAnswer: 0.5, m, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9940 (base 12) to base 9.\nAnswer: 25153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 14. Suppose 2*b - f*b = -8. Suppose -1456 = 20*g - 34*g. What is the highest common divisor of g and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**5 + 300*r**4 + 876*r**3 + 868*r**2 + 288*r = 0. What is r?\nAnswer: -72, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2. Let v(g) = -3*g + 64. Calculate v(a(h)).\nAnswer: -3*h**2 + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6259\/76 - 329\/4. Put 0.09, -1, -2\/5, r in decreasing order.\nAnswer: r, 0.09, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1159487154.\nAnswer: 2, 3, 7, 9202279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18.16 - 18. Let z = b - -0.04. Let u = -0.8 + 0.4. Put 3\/4, z, u in decreasing order.\nAnswer: 3\/4, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 15*s**2 + 18*s + 4. What is the hundreds digit of l(-17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**19*k**(-6\/5)\/k)**(2\/27) assuming k is positive.\nAnswer: k**(56\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 263d (base 14) in base 7?\nAnswer: 25406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 175481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = i - 3*i. Which is smaller: i or -38?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5815040 divided by 4480.\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.97 - 2.97000143. What is b rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (29 - 14) - 3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/12 and 19\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000368482074 rounded to seven decimal places?\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7962, 7968, 7976, 7986?\nAnswer: 7998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1100312 (base 4) to base 10\nAnswer: -5174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 4*a**2 - 572*a + 10. What is v(-26)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.7 + -3. Let u = 0.74 - 0.38. Let h = 2.64 + u. Which is the second biggest value? (a) h (b) g (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 3*z**2 + 10*z - 5. Let i be f(5). Let s(c) = c**2 - 12*c + 6. Let b be s(9). Let w be (-4)\/(-14) - 15\/b. Put 5, i, w in increasing order.\nAnswer: i, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 3:49 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - (sqrt(325) - 1*sqrt(325)*4 - sqrt(325)) - (sqrt(78)\/(2*sqrt(6)) + -1*sqrt(13)*4))**2.\nAnswer: 42237\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3679 - 0.6.\nAnswer: -0.2321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4 = 4*x, z + 2*z - 4 = 2*x. Let p(m) = -m**3 + 4*m**2 + 8. Calculate the remainder when 29 is divided by p(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -56, 69, 450, 1213, 2484, 4389, 7054, 10605?\n\"Answer: 21*l**3 + 2*l**2 - 28*l - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 326, -5, 0.1, 2\/9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6861\/20 - 1339\/4. Suppose 19 = -3*h - v, 3*h - 3*v + 14 = -5*v. What is the common denominator of c and 881\/(-70) - h\/28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5839148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 2)*(13 - 6 - 4)*(4 + 3 - 5)*(6*c + c - 8*c) to the form t*c + k and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - m + m + 0.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 699*y**3 - 16044*y**2 - 55281*y - 2574 = 0.\nAnswer: -3, -11\/233, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3339 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1944598.309 rounded to the nearest ten thousand?\nAnswer: -1940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 993962.\nAnswer: 2, 53, 9377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -841*w - 1151 - 3589 = -751*w + 120 for w.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -2\/5, -0.6, 3, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-36)\/(-180))\/(4\/(-8)) + 1904\/10. What is the greatest common divisor of 43130 and w?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**4\/4 + 23*i**3\/3 - 35*i**2\/2 + 112*i - 320. What is the units digit of d(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-36)*r*r**(-39)*r*r\/(r\/(r*(r*(r**25*r)\/r)\/r))*(r\/((r\/((((r*(r\/(r*r**(-12)))\/r)\/r)\/r)\/r))\/r))\/r assuming r is positive.\nAnswer: r**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 524 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*k**6 + k**3*w - 4*k**2 + 26*k*w wrt k?\nAnswer: -3600*k**3 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 0. Suppose 261 = 42*d + 93. Sort -2\/11, j, d in increasing order.\nAnswer: j, -2\/11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(2 - 2 - l) + 3 - 2*l - 3 + 4*l + 3*l - 5*l + l - l - 2*l + (2 - 3 + 2)*(1154*l - 1158*l + 131 - 18).\nAnswer: -7*l + 113","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20712)\/(-108738))\/(-2*(-3)\/2709)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 17*w + 125 = 0. Let h(n) = -3*n**2 - 4 + 0*n**3 + n**3 + 2*n + 0*n**3. Does 8 divide h(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0.46 (b) -5 (c) -3\/4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 3*w**2 - w - 10 - 16*w**2 + 4*w**2. Let d be i(-15). Which is greater: d or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**5\/30 - y**2. Let c(w) = -12 + 6 - 1769*w + 1773*w + 2. Give i(c(s)).\nAnswer: 32*s**2 - 64*s + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-15) + 1)*5. Suppose -9 = -n*a + 36. What is the greatest common factor of 60 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 divided by -44.\nAnswer: 61\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 8*k**2 - 61*k - 50. Let d = 70 - 57. Let q be n(d). Let -1\/4 + 1\/2*c - 1\/4*c**q = 0. What is c?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -v + 3. Suppose v*m + 0*m = 16. What is the remainder when -4*(52\/(-8) + -1) is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from wiwmwiwwii.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 417.5 + -418. Put 7, u, 0.5, -0.1 in increasing order.\nAnswer: u, -0.1, 0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22019 + 37806. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38\/225 + -1751\/450. Find the common denominator of z and -145\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 15. Let y be m(18). Let u(i) = -5*i + 14. Let d be u(y). What is the nearest to d in 0.3, 0.5, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of l**5\/30 + 29*l**4\/4 + 86*l**3\/3 + 4*l**2 + 23. Factor v(d).\nAnswer: 2*(d + 1)*(d + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60\/227 + -50593\/192269. Let l = 754\/78771 + o. Let c = l - -195\/124. Find the common denominator of 11\/16 and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49991, 49997, 50013, 50045, 50099, 50181, 50297?\nAnswer: 50453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 18 - 2*h + 4*h - h. What is the remainder when j(-8) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 454 - 303. Let i = 1361\/9 - s. Calculate the common denominator of (-59)\/(-33) + 6\/(-6) and i.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**5 - 28*p**4 + 644*p**3 + 5228*p**2 - 640*p - 5200 = 0 for p.\nAnswer: -10, -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 5 = 3*w, 16*w - d + 30 = 11*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -13*d**4\/8 - 22*d**3 + 42*d**2 - 2*d. Differentiate b(z) wrt z.\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r. Let q(d) = -9*d. Let x(u) = 7*k(u) + 3*q(u). Let f(z) = -8*z. What is f(x(g))?\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*a + 7*a. Let h be (-85)\/(-3) - (-4)\/6. Let o = h - a. Calculate the remainder when o is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41793885 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4) + 18\/4. Suppose m*a - 50 = -a. What is the lowest common multiple of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 3*a + 195. Let k be j(12). Calculate the greatest common factor of 18 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 598 and 7383?\nAnswer: 191958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -106, -209, -312, -415?\n\"Answer: -103*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 10:11 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l - 20*l = 1, 3 = 2*f - 5*l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120240.\nAnswer: 2, 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/99)\/(624\/189558). Let h = g - 713\/39. Let m = h - -1\/220. Sort 0.2, 0.5, m, -3\/5 in increasing order.\nAnswer: -3\/5, m, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -2, -2\/19, -2\/65, 5, 2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/300*6\/4. Let h = n + 44\/75. Factor h*v**2 - 2\/3*v**3 + 0 + 0*v.\nAnswer: -2*v**2*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 594472487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - 4. Let r = p - -14. Which is the smallest value? (a) 0.3 (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 93*f**2 - 5018*f - 175. Determine x(54).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 3*i**2 - 2*i - 4. Let l be z(-3). Suppose 8*v - 6*v = -l*v. Factor 0 - 1\/6*k**4 + v*k - 1\/2*k**3 - 1\/3*k**2.\nAnswer: -k**2*(k + 1)*(k + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -441 - -458. What is the smallest common multiple of w and 7?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(48) + sqrt(12))\/sqrt(4))**2 + 0) - (sqrt(3) + 1*sqrt(48) + -1)*4.\nAnswer: -20*sqrt(3) + 139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (16\/(-4))\/(-16)*244. Let l = b + 72. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 384840461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - 20. Let f be 0 - (344\/1 - 2). Let i be 3\/(-5) - f\/120. Do i and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 40. Let w = j + 30. Calculate the remainder when w is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5003 is divided by 139?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 31*m - 63. Let b be p(-33). Find the first derivative of -b*q - 41 + q + 98*q**2 - 49 - 86 wrt q.\nAnswer: 196*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1016460 less than 3.7?\nAnswer: 1016463.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-2)\/(-6) - (-1740576)\/288. Suppose 46*d + 247 = f. Calculate the greatest common divisor of d and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (111*-17*24\/(-1224))\/(25\/(-5))\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 21\/2*j**2 + 4*j + 0 + 17\/2*j**3. Let h(b) = 5*b + 2. Give -21*h(w) + 2*n(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (10\/3)\/(4\/(-1068)). Suppose r = 5*o - w, -82 = -o + 5*r + 120. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42340 is divided by 116?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 783 - 755. Calculate the highest common factor of 1 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -62*p**4 + 2*p**3\/3 - 25*p**2 + 308. Find the third derivative of y(d) wrt d.\nAnswer: -1488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.09, -2\/31, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3195 divided by 10?\nAnswer: -639\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*u = -3. Suppose -1 + 4 = -u*w. Let y(g) = -9*g**2 + 3*g - 5. Let r(l) = -17*l**2 + 5*l - 9. Let d(x) = -4*r(x) + 7*y(x). What is d(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 2:28 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 26 - 24 - (2 + 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -126, 5, 2, 4, 137 in ascending order.\nAnswer: -126, 2, 4, 5, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*p**2 - 1 - p - 1 + 0 + 15*p**2 - 5*p**4 to n*p**2 + y*p + j + b*p**3 + q*p**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 5:01 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/6419 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, -3\/5, 3, -2.5, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -1, 7, 4 in descending order.\nAnswer: 7, 4, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -141 - -20031?\nAnswer: 17670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 307352\/3625 less than or equal to 86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*y - 15, q + 0 = y + 3. Find the third derivative of -c**4 - q*c**2 + 3*c**5 + c**4 + 0*c**2 wrt c.\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 + -59. Put 0, -1, y in ascending order.\nAnswer: -1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 4. Let a(l) = 3*l**3 - 5*l**2 + 2*l + 4. Let t be a(3). Suppose t = 4*s + 3*v, -2*v - j = 2*v. What is the remainder when 24 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -158174 (base 9) in base 8?\nAnswer: -277052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-3)*(12\/(-9))\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62510 is divided by 2500.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 221460 and 3165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*o - 7. Solve o*p = -2*p + 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1165608, -2331217, -3496826, -4662435, -5828044, -6993653?\nAnswer: -8159262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/117, 3, -39.\nAnswer: -39, -2\/117, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - p - 34. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210984 and 4815816?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 7, 0, 1, 16, 51, 112, 205?\nAnswer: 336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2126*d + 1373*d + 759*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.029 + -9.971. Let d = -1229.13 + 1239.1079. Let g = d + w. What is g rounded to three dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 2)*(-3*f + 0*f + 4*f)*(0 + 6 + 0) in the form a*f + q and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**2 - u**2 - 7*u - 2*u**3 + 4 - 6 + 3*u to v*u**3 + z + q*u**2 + i*u and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 c when two letters picked without replacement from {f: 1, s: 5, u: 3, c: 2, k: 1}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of u**4\/4 - u**2\/2 + u + 5. Let o(b) = 4*b**3 - 5*b + 1. Determine 3*j(h) - o(h).\nAnswer: -h**3 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6b - -319c5?\nAnswer: 31a63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -20*n - 4. Let m(s) = s - 1. Determine -3*l(f) + 12*m(f).\nAnswer: 72*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 570?\nAnswer: -572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 2*j**3\/3 + 3*j**2\/2 - j + 1. Suppose -2*i - i = -6. What is the remainder when 25 is divided by v(i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*h = -7 + 2, -2*j + 3 = -h. Put 15, j, 5 in descending order.\nAnswer: 15, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13938874*x**2 - 1259611*x wrt x?\nAnswer: 27877748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*x + 13*x + 32*x to the form z + t*x and give t.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6556 by -1639.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 432.9 to the nearest 10.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n - 2*n + 0*n + (-2 + 3 - 3)*(-9*n + n - 5*n) + n - 3*n + 7*n in the form x + f*n and give f.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 (base 11) in base 15?\nAnswer: -b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 7 = -9. Sort f, -20, -5 in descending order.\nAnswer: f, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4224109400 rounded to the nearest one million?\nAnswer: 4224000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*1*-5 + sqrt(68))\/sqrt(4).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhh when three letters picked without replacement from hrlrgrfgfffflhh?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4 - 59*b**3 - 17*b**3 + 20*b**4 - 24*b**3 - 2*b**5 + 6*b**5 - 112*b**2.\nAnswer: 4*b**2*(b - 4)*(b + 1)*(b + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1276062 to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 6 = 3*m. Let h(r) = -2*r**2 - 3*r**m + 4*r**2. Let p(n) be the second derivative of -n**4\/4 + n. What is p(h(c))?\nAnswer: -3*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 0, f + 4 = n + 1. Is 9 a factor of 27*(4 + f)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(2400) - 2*sqrt(2400))\/(sqrt(16)\/sqrt(2)*1).\nAnswer: 50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 + 28 - 2*d + 2*d + 9.\nAnswer: 2*d**2 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*d - 46*d - 94*d + d - 6*d + 4*d + (2 + 2 - 2)*(5*d - 2*d - 2*d))*(-d + 2*d - 2 + 0*d)*(3*d**3 - 5*d**3 + d**3).\nAnswer: 159*d**5 - 318*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*r - 441. Let z = r - 36. Let h = z - -263. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 3:58 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-11\/4)*p\/p**(-25))\/(p**(-14))**(2\/129) assuming p is positive.\nAnswer: p**(13141\/516)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2. Let y(j) = 19*j**2 + 68 + 62 - 127. Determine y(v(g)).\nAnswer: 19*g**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 6. Suppose 0 = 2*i - b - 7. Solve -i*w + f = -f + 18, -4*w = -3*f + 19 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14699222, 29398444, 44097666, 58796888, 73496110?\nAnswer: 88195332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*g**2 + 6\/5*g**3 + 6 - 6\/5*g.\nAnswer: 6*(g - 5)*(g - 1)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79240 or 79234?\nAnswer: 79234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0324610179 rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4844897 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 21*c**2 - 217*c + 308. Determine b(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -5)\/(4\/4). Let i = -1 + 0. Let o = -3 - i. Sort z, o, 4 in ascending order.\nAnswer: o, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 872 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53)\/(-12) + (236 - 228) + (-62)\/8?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*sqrt(121)*-1)\/sqrt(11)*4 + 2*sqrt(539) + (sqrt(11) - 2*sqrt(396)).\nAnswer: -5*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 21 - 28)*(c - 2*c - 4*c)*(9*c - 4*c + 2*c).\nAnswer: 1330*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*r - 44*r + 47*r**3 - 54*r**3 + 241*r - 139*r - 30*r.\nAnswer: -7*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j. Let r(n) = 2*n**2 - 15*n - 3. Let f(m) = -r(m) + 4*v(m). What is the units digit of f(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3 = 0, 0 = -2*q - 12*w + 14*w + 2. Let h be -6*((-128)\/24 - q). Solve 2 = h*j - 18*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22312310 - -2?\nAnswer: -22312302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 896125464*h*t**2 - 473*h - 29005*t wrt t?\nAnswer: 1792250928*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3262 + 1126 = 267*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240397551.\nAnswer: 3, 71, 41801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 + 18*q - 14*q + q + 28 to k*q + y*q**2 + d and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 8 = 2*n - y, -10 = -2*n + 4*y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 12*j - 39. Let f be (-2 + 3 - -2*8\/24)*3. What is m(f)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*6*(2 + sqrt(33)\/sqrt(3))*2 + -5)**2.\nAnswer: 2064*sqrt(11) + 8185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, -43\/2, -0.3, -0.5, -31?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -186.\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388274066?\nAnswer: 2, 3203, 60611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 324 + -312. Let p = s + -20. Sort -2, 0.5, p in ascending order.\nAnswer: p, -2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(68\/8 - -3). Let m = h + -19. Let z(i) = -20*i**3 - i**2 - i. Let n be z(-1). Solve m*c = n - 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - 1)*9\/12. Let v(s) = 6*s**2 - s + 10. Let y(p) = 5*p**2 + 9. Let o(m) = f*v(m) + 4*y(m). Calculate the least common multiple of 6 and o(-4).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 67250 and 12219325?\nAnswer: 122193250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u = 49*u + 1869 - 5136. Calculate the highest common divisor of 40535 and u.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 64 (b) -3\/4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.066 + -0.434. Let k = -13 - -11. Let j = 31\/45 - 8\/9. Which is the closest to 1\/2? (a) n (b) k (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 57*h - 778. What is s(-70)?\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -6*w - 4. Suppose w*b + 4*y - 117 = -25, 2*y + 104 = 4*b. Solve 3*h + 2*h = b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1261313?\nAnswer: 1261313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139534 = -2*c + 2*m - 139668, -5*m = 5*c + 285 for c.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5327080466?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11012244 (base 5) to base 12.\nAnswer: -46977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-5))\/((-2174)\/(-10870)) - 328\/(-38).\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3277 from 3657.969.\nAnswer: 6934.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 + -6 + -8)*665\/(-38).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2862952 is divided by 3020?\nAnswer: 3012","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.07 + 0.09. Let k = 0.26 - w. Which is the smallest value? (a) 1\/6 (b) k (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9421199383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 59709343 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 2 + 2)*(-101*r**2 + 101*r**2 - 170*r**4).\nAnswer: 170*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 6295432.\nAnswer: 18886296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 9)*(2 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13724? (a) -2\/11 (b) 25.3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -229 + -265. Let t = -490 - i. Solve -m - t*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**3 + 19*f**2 - 7*f - 1. What are the prime factors of d(8)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t**2 + 15*t. Let h(q) be the first derivative of -q**5\/20 + 28*q**2 - 27. Let x(i) be the second derivative of h(i). Determine c(x(b)).\nAnswer: -36*b**4 - 45*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -139.77568 to one decimal place.\nAnswer: -139.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*f = 3*g + 52*f - 25, g + 4*f + 15 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 + -43. Suppose -4*u + m + 51 = -5*u, h = -m + 2. Let x = 57 + u. Calculate the lowest common multiple of x and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*5*(-3 + sqrt(11))**2 - (3 + 2*sqrt(11) + sqrt(11) + ((sqrt(88)\/(2*sqrt(8)))**2 - sqrt(11))).\nAnswer: -32*sqrt(11) + 377\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*f - 107*f + 24*f)*(1 - 1 - 3)*(4 - 2 - 4).\nAnswer: -402*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26198, 26199, 26200?\n\"Answer: k + 26197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -26a4 (base 13) in base 7?\nAnswer: -22105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1132 - 0.0168. Which is the fourth smallest value? (a) r (b) 0 (c) 1 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 - -51. Suppose -2*d = 3*d. Suppose g*u - 5*u - 395 = d. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 295\/(-10)*-1*(5 - 7). Calculate the common denominator of k\/12*105\/70 - 0 and 14\/153.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/17, 11, -2\/9, -0.4753, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((4 - 1) + -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 39*h**2 + 22*h. Let g(z) = 16*z**2. Give -g(t) - n(t).\nAnswer: t**3 + 23*t**2 - 22*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/5*l**4 - 3\/5*l**2 + 0*l - 2\/5*l**3.\nAnswer: l**2*(l - 3)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -613*w**5\/20 + 16*w**2 - 30*w. Let p(o) = -2*o**2. Give p(d(z)).\nAnswer: -6763842*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 212*z**2 + 764*z + 980.\nAnswer: 4*(z - 49)*(z - 5)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/((-960)\/(-72))*(-24)\/774*-1*-3?\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 600, 4707, 15850, 37545, 73308, 126655, 201102?\nAnswer: 300165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3611*v - 2080. What is z(-1)?\nAnswer: 1531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-167)\/167*24\/(-10)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98380527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.17634 * -11.43\nAnswer: -2.0155662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47816?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*z + 15 = 3*m - 22*z, m + 5*z - 18 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 4*j + 10. Let h be z(5). Suppose -600 = h*k - 8*k. Suppose 4*l = 2*x - 136, -3*x - 3*l + 5*l = -k. What are the prime factors of x?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o + 6 = 22*o. Sort 3, o, -1, 1 in increasing order.\nAnswer: -1, 1, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(32) + 5 - (-2*sqrt(2)*-3 + 1))**2.\nAnswer: -80*sqrt(2) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75294487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18003 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence addr when four letters picked without replacement from {d: 7, r: 2, a: 5}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13210 + -13186. Solve -37*d + b*d - 78 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8281, 8214, 8147, 8080, 8013?\n\"Answer: -67*s + 8348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -0.093, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 163*x**5\/20 - 185*x**3\/6 + 571*x. Find the second derivative of n(d) wrt d.\nAnswer: 978*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 x when three letters picked without replacement from {s: 12, r: 1, x: 6}.\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 17 (b) 0.548 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -13*a - 36. Let j(i) = -77*i - 210. Let w(n) = 6*j(n) - 35*x(n). Let p(u) = -200*u**2. What is p(w(r))?\nAnswer: -9800*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -645152200 to the nearest 1000000.\nAnswer: -645000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/11*-2*122\/122.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(5 + (4 - (-8)\/(-1))). Let u = 158\/7 - 2398\/105. Which is greater: u or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = -2*o - 12*n + 18, -2*o - 2*n = -6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d**2 + 2*d + 8. Let n(u) = -3*u**2 - 23 + 34*u - 20*u - 12*u**2 - u - 19*u. Give 6*n(a) + 17*x(a).\nAnswer: -5*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -447*a**2 - 3*a + 2. Let r(z) = 446*z**2 + 3*z - 3. Let v(y) = 6*c(y) + 5*r(y). Let l be v(-1). Let f = -322 - l. What are the prime factors of f?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.48 - -0.52. Which is the second smallest value? (a) 0.5 (b) p (c) -0.2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21976, 107996, 258058, 472162, 750308?\nAnswer: 1092496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 52449 times 8\nAnswer: 419592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1165.4 + -1158.4. Which is the nearest to -2\/29? (a) 1 (b) -0.01 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 45.04867um?\nAnswer: 45048.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b + 2*b**2)*(b - 14 + 14).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -3*s**5\/20 + s**4\/12 - 29*s**3 - 2887*s**2 - 2*s + 92. What is the derivative of o(m) wrt m?\nAnswer: -9*m**2 + 2*m - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 15*c + 7. Give o(-18).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1161955.\nAnswer: 5, 232391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(3) + 0 + (sqrt(3) - -2*sqrt(3) - sqrt(3))**2 + sqrt(3) - (sqrt(192) + (sqrt(192)*1 - sqrt(192)))**2) + 0 + (sqrt(3) + 2)**2 + 2.\nAnswer: -171 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6106 - 33051?\nAnswer: -24743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 0 = -v. Let n = v + 45. Does 3 divide 68\/n - 4\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*g - 312*g = 251*g - 42966 for g.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**6\/270 + p**5\/90 - p**3\/27 + p**2\/18 + 20*p. What is g in r(g) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 844877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**3 - 69*f**2 - 1864*f + 2291. What is s(52)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.26 + -0.16. Let r = 3.9 + 0.2. Let v = r - w. What is the closest to 0.1 in 0, v, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34748 or 34749?\nAnswer: 34748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91121 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003463300797 to six decimal places.\nAnswer: 0.000346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11537223 or 11537210?\nAnswer: 11537210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/524 and -25\/36.\nAnswer: 4716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/9*27\/54*(-264)\/(-16).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 10*c - 5. Let n(f) = 270*f + 239. What is z(n(p))?\nAnswer: 2700*p + 2385","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*y - 103230 = -56*y. Does 93 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 2*s**2 + 31*s - 58. Let a be z(2). Solve 2*t = v, 2*t - 8 = a*v + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2\/5 + 1336514*b - 26730312\/5 = 0. Calculate b.\nAnswer: -3341289, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -351, -5, 581, -2, 1, -42 in increasing order.\nAnswer: -351, -42, -5, -2, 1, 581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 - 4*x + 2. Let d be z(2). Suppose m = -d*m. Suppose m = 5*r - 15 - 25. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2848 + -1615. Is 15 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**(-2\/63)\/(g\/g**3*g*g**3)*(g*g**(3\/2)*g\/g**(2\/5))\/(g**0)**(-1\/10) assuming g is positive.\nAnswer: g**(713\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1277.6 to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*r - 19*r - 87 = 0. Suppose 1033 = 4*l + o, 5*l + 0*o = r*o + 1304. Does 37 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-640)\/90)\/2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 998608977 rounded to the nearest one million?\nAnswer: 999000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 9100?\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 6:58 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 4 - (-8)\/2. Let m(q) = 4*q + 37. Let u be m(-9). What is the highest common divisor of u and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1052a4 (base 13) to base 5\nAnswer: -44222000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276945?\nAnswer: 3, 5, 37, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -939 + 940. Suppose -2*j + 0*j = -8. Suppose 3*o + 1 = 4*d, -4*d + 2*o + j = -2. Put -8, d, p in ascending order.\nAnswer: -8, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64562 plus -0.01524418?\nAnswer: -64562.01524418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3839573.\nAnswer: 3839573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24482970 a multiple of 788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -6*i**3 + 2*i**2 - 12*i - 10. Let f(z) = z**3 + z**2 + z + 1. Let v(w) = c(w) + 5*f(w). Let d be v(6). Let q = d + 33. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 7. Let d = -3 + u. Which is the third biggest value? (a) -2\/9 (b) d (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -j**5\/20 - 2*j**4\/3 + 4*j**3\/3 - 7*j**2\/2 - j. Let i be u(-9). Solve d = -i*d + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**3 - 132*l**2 + 128*l = 0.\nAnswer: 0, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8601 - 4426 - 9*q**3 - 4175.\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 5*s, 2*b - 4*b + 25 = 3*b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -6, -19, -32?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -63) + 1520 + -1488?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11\/12 + 2\/3. Which is the nearest to 2\/3? (a) 8 (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62814 to the nearest 1000.\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(-1))\/2*1. Suppose w - 2 - 2 = 0, 4*u - w - 4 = 0. Suppose -u*r - 4*r + 120000 = b. Round r to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 815, 1045, 1297, 1571, 1867, 2185, 2525?\nAnswer: 2887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 249 - 81. Let p = -60 - d. What is the closest to 2 in p, -0.7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-14) + ((-3498)\/77 - -59).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-28)*(-21)\/12*-2*-36.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 43.02 or -62298?\nAnswer: 43.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 295 = -4*u + 489, 4*k - 3*u = 1612. Suppose -j - 4*l + 366 = 0, -3*j = 4*l - 658 - k. What are the prime factors of j?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.611 - 4.611. Sort -0.1, -137, p, -2, 2 in decreasing order.\nAnswer: 2, p, -0.1, -2, -137","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b - 1. Let i(l) = -5*l + 1. Let u(q) = -i(q) - j(q). Let v(x) = 2*x**2 - 48. Determine u(v(m)).\nAnswer: 6*m**2 - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -115, -251, -475, -781, -1163, -1615?\n\"Answer: x**3 - 50*x**2 + 7*x - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/(-7)*2*1. Let q(z) be the third derivative of -z**4\/24 - 7*z**3\/3 + z**2. Give q(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -100000011110010010?\nAnswer: -100000011110001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 4*d - d)*(1 + 4 - 3)*(0 + 1 + 0)*(6 + 21 + 18).\nAnswer: 90*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from lklkkllklklk.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 419, 3502, 11875, 28184, 55075, 95194, 151187, 225700?\nAnswer: 321379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 3 - (-10 + (3 - -2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.3 + 2.4. What is the closest to 0.1 in -4, 3\/2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259257 is divided by 1956.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 104644120, 209288244, 313932368?\n\"Answer: 104644124*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-12)*1865\/(-2611).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 934856 and 3172?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**9\/12096 - p**8\/2016 - p**7\/144 - p**6\/36 - 13*p**5\/60 - 20*p**2. Let a(j) be the third derivative of q(j). Factor a(l).\nAnswer: 5*(l - 4)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4)\/(1926\/144 + -12)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000201713 to 7 decimal places.\nAnswer: -0.0000202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-3)*t)\/(t\/(((t**(-2\/5)*t)\/t*t)\/t*t*t))*t**(-3)*t**0)\/((t**(-2\/7))**(-35)\/(t**(2\/13)*t**(-2\/3)*t)) assuming t is positive.\nAnswer: t**(-2323\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -6.9. Let o(z) = -z**3 + z**2 + 6*z - 4. Suppose -5 = -6*q + 7. Let w be o(q). What is the nearest to h in 0.5, -3, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 9*j + 9. Determine z(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 302204 rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 128036 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, a: 5, e: 3, f: 5, t: 3}. What is prob of sequence ee?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81 + 11. Let s = 0.0646 + -92.4946. Let h = s + i. Round h to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 + q - 1. Let h be 1 + 2\/(-6) + 1384\/(-24). Let d = -168 + 113. Let g = h - d. Give t(g).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (21\/6 - 3)*1\/(8\/827248) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -38*h + 35*h. What is the second derivative of -24*t - 1 + 1 + 17*t**h - 30*t**4 wrt t?\nAnswer: -156*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-8))\/(4725\/5600)?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -28047 and -289.\nAnswer: -28336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46220*r**2 - 45846*r**2 + 0*r + r to y*r + v + s*r**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**4\/4 + 10*y**3\/3 + 15*y**2\/2 - 40*y + 1429. Determine s(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -212 divided by -2.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31352585617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/55272 and 65\/9588.\nAnswer: 939624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18553.999998324 - -18554. Round a to 7 decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1111 + 323331?\nAnswer: 322220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 238 + 2?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*p = -79*p - 19026. Let i = -800 - p. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(12\/13)\/i*i*i)**(-17\/4)*(i**(-2\/13)\/i)**(4\/7) assuming i is positive.\nAnswer: i**(-3215\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8108595 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 5*v + 5, 100*z + 5*v = 101*z + 2*v + 7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 3. Suppose 2*s - 3*t - 62 = t, q*t - 74 = -4*s. Calculate the greatest common divisor of 14 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -24*v + 4\/5*v**5 - 6\/5*v**4 + 136\/5*v**2 + 32\/5 - 46\/5*v**3 = 0?\nAnswer: -4, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3529577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -881 + 880.9999182. Round n to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**2\/7 - 40409*n\/7 + 364248 = 0.\nAnswer: -40472, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 181393, 363355, 545317?\n\"Answer: 181962*t - 569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 6. Let z be w(-3). Suppose s = x - 6, -z*s + 4*x + 4 = 26. Let d(p) = p**3 - 4*p - 3. Let a be d(s). What is the nearest to a in 0, 3, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7900 divided by -3950\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**3\/3 - 3*t**2 - 2*t + 19. Determine i(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.22231752 rounded to 4 decimal places?\nAnswer: -1.2223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 14. Let j = 24 + -17. Let q be c(j). Let h = q - 7. Solve h = -2*m - 3*t - t + 8, 0 = 3*t - 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8488266 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 4*d - 3. Let l(a) = -2*a + 1. Let j be l(-2). Let i be f(j). Suppose i*k + 3 - 21 = 0. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 4*b = -0*t + 8, -4*t + b - 2 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -102668*m**5 - 22126*m**2 + 1.\nAnswer: -6160080*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1319475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 702451200 divided by -1320\nAnswer: -532160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from {a: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 4*a - 8. Let i be v(-7). Let s = i - 3. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 368 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/9*20)\/((-3136)\/2016).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 8*d - 8*d + 8*d - 13. Let q be o(9). Let j be (4\/q)\/(-4 - (-30)\/8). Solve 3*s = j - 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 887*u**2. Let m(a) = -a. Calculate h(m(v)).\nAnswer: 887*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 2:32 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6 = 6. Suppose -38 = -5*a + l*x, 4*a + 2*x - 28 = 4*x. Solve 0 = 3*r + a, -2*v + 17 = -5*v - 4*r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 7:39 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 15) to base 5\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 249 divide 47760690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2*f - 7, -3*f - 20 = -4*p + 3. Solve -p*y + 1 - 6 = -5*a, -5*y = -3*a + 9 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 685*g - 6. Let n(y) = -75354*y + 661. What is -661*d(i) - 6*n(i)?\nAnswer: -661*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/2392 and 35\/3793088?\nAnswer: 87241024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1007 - -4859. What is the greatest common factor of 749 and m?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/216 and -131\/360.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-104)\/351)\/(2\/16590). Let r = -2461 - g. What is the common denominator of r and 91\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 4\/3*n**2 - 2\/9*n**6 + 0*n + 38 - 1\/3*n**4 - 4\/5*n**5 + 4\/3*n**3. Suppose x(h) = 0. Calculate h.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*p - 586254 - 685751, -p = -z + 317999. What is z rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 w when three letters picked without replacement from {w: 1, s: 2, a: 1, c: 5, u: 1, e: 3}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.1 - -17864541.\nAnswer: 17864551.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**5 + 24*c**4 - 3*c**3 - 24*c**2.\nAnswer: 3*c**2*(c - 1)*(c + 1)*(c + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1293*j - 387*j - 373*j - 417*j.\nAnswer: 116*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + -27 + (5 - -4) + 3?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5340 + 8046. Suppose -2*i - l = 25474. What is i rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**3 - 582636*z**2 - 5826585*z - 14566650 = 0. What is z?\nAnswer: -5, 194222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1023542*-4.\nAnswer: -4094168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1624*u + p = 1625*u - 25, 0 = 3*u + 2*p - 55. Solve 77 = -u*a + 14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 27*s - 175. Let m be u(33). Solve -108*g + 131*g = m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132446661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*v = 55*v - 6*v + 890 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**3 - 11*b**2 + 11*b + 4. Suppose 28 = -f - 4*q, 12*f + 40 = 16*f - 3*q. What is p(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -84, -82, -80, -78, -76, -74?\n\"Answer: 2*j - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 19 - 31. Suppose -i = -15*o + 19*o. Sort o, -4, -5, 3 in descending order.\nAnswer: 3, o, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -751.5 - -326.5. Does t = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 269635 divided by 349\nAnswer: 269635\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v + 4*u + 663 = 74*v - 0*u, -14122 = 4*v + 5*u - 14176 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/168873 and 29\/4665?\nAnswer: 844365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dwaw when four letters picked without replacement from {d: 2, w: 2, j: 1, a: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 1 + 1)\/((-2)\/6). Put 1, r, 4 in ascending order.\nAnswer: r, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**4)**(-11\/5))**(2\/41)\/(d\/d**(-8)*d*d**(-1))**(6\/29) assuming d is positive.\nAnswer: d**(-13622\/5945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -54054*l + 62587. Let r(i) = -1743*i + 2019. Let n(p) = -2*b(p) + 63*r(p). Differentiate n(q) wrt q.\nAnswer: -1701","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22470 and 147?\nAnswer: 157290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -2. Let v = -57 - -110. Let o = v + -52. Is j at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4\/47031 + -3809159\/4138728. What is the common denominator of n and 28?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -243790140+-0.00003\nAnswer: -243790140.00003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -0*y. Let b be (0 + 1)\/(2\/(-22)). Let k = -8 - b. What is the third smallest value in 2\/23, k, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -9. Let q be -17*(i + (-2 - -1)). Let r = q + 52. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -55*f**3 - 6655*f - 1815\/2*f**2 - 72 - 5\/4*f**4. Factor w(i).\nAnswer: -5*(i + 11)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 3:36 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43516*m + 24390 = -42920*m + 69090 for m.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -10*z + 8*z. Suppose 0 = -5*u + z*c + 2 + 73, -2*u - c + 30 = 0. Solve 0 = 2*m + m + u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-58314)\/45*(-30)\/(-920). Let y = k - 28\/115. What is the common denominator of 87\/16 - (-2)\/(-4) and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(0*z + 4*z - z)*(3 - 1 - 8).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 1. Let q(l) = -8*l - 9. Let i(f) = 10*f + 281. Let b be i(-28). Give b*q(g) + 6*h(g).\nAnswer: -2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -w**3\/6 + 3*w**2\/2 + 12*w. Let v be a(3). Suppose v = -4*d + 19 + 57. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 4*m**4\/7 + 212*m**3\/7 + 596*m**2\/7 - 212*m\/7 - 600\/7 = 0.\nAnswer: -50, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 u, and 1 c when three letters picked without replacement from {f: 1, z: 2, r: 2, c: 1, o: 1, u: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 - 1132*n + 1130.\nAnswer: 2*(n - 565)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/6)\/((-4)\/138). Let y = -5339 + 5385. Suppose -y = -d - q + x, 5*d = 4*q + 372. Is 28 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -255, 2, -230.\nAnswer: -255, -230, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**13*v)\/((v*v**13*v)\/v)*(v*v**2\/v*v*v)\/(v\/(v*v\/((v**(2\/3)\/v)\/v))) assuming v is positive.\nAnswer: v**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3301, 6618, 9935?\nAnswer: 13252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1382 - 202 = -22*n. What is the highest common divisor of n and 240?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 806088882 a multiple of 1900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, q: 2, j: 2}. What is prob of sequence qf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 9*i. Let n be v(8). Suppose -4*z + n = -0. Solve 0 = -2*k - z*k + 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408586434.\nAnswer: 2, 3, 53, 1284863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -237*b**2 + b - 1 + 236*b**2 + 1. Let h(v) be the third derivative of v**5\/12 - 7*v**4\/24 + v**3\/6 - v**2. Calculate -h(m) - 6*s(m).\nAnswer: m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -911931, -1822882, -2733835, -3644790?\nAnswer: -4555747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.225 greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 12:01 PM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1.9 times -2\nAnswer: 3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 42\/(-3) - (-72 + -558)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + h - 3, -h = 5*j - 18218. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.03, -5, 1\/9, 0.5, 0?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((705\/18)\/47)\/(1\/1).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.564896 to 2 dps.\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*z = a + 15950, z = a - 3987. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 12. Which is the smallest value? (a) -2 (b) v (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3118?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 473 + 291 - 987 + 478 - 13*b.\nAnswer: -13*b + 255","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/665483 + -2055815\/19753531889. Are q and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8737\/3 or -2912?\nAnswer: -2912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 + 39. Let n(k) = -9*k - 24. Let b(u) = -2*u - 5. Determine y*n(l) + 24*b(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/6 + 0)*6. Suppose 3*g - 12 = -g, x - d*g = 10. Calculate the highest common divisor of x and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 6*j + 56. Let k be j\/6*(-15)\/4. What is the tens digit of 1\/(-2)*-2*k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 120d?\nAnswer: 120c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 1 + 21 = 0. Solve -3*h - 6 = 0, 4*z - 2*h + 4 = i*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -26. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-700)*5\/30*(33 - 29).\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*m - 10, 5*m - 14 = -a - a. What is the highest common divisor of a and 2486?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z. Let m be x(5). Let t be 4\/(-10) + (-23)\/m. Let f be (9\/36)\/((-3)\/4). Put f, t, 0.5 in descending order.\nAnswer: 0.5, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 523*x = -889*x + 433*x + 20559 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, 5, -0.5, -3, -0.05 in decreasing order.\nAnswer: 5, 0.8, -0.05, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 5*d**2 + d + 6. Let h be i(-5). Let n be h\/((-1 - -2)\/4). Solve 2*c + 3*o = 4*c, -n*c - o = -14 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2211 = 2*s - 5*s. Suppose -7*x = 149 - s. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-2) - (-98)\/4. Suppose -5*f + f = -i. Find the third derivative of 6*h**2 + 2*h**6 - 4*h**6 - 10*h**2 - 3*h**f wrt h.\nAnswer: -600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -93 - (-37 + 47 + -11 + 3 + -22)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (29 + ((7 - 5) + -2 - 16)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/194500 and 10\/12059.\nAnswer: 6029500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 264 + -39. Does 45 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*v = -89*v + 332 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -3*w**4\/4 - w**3\/3 + 83*w - 398. Differentiate m(x) with respect to x.\nAnswer: -9*x**2 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 47*h - 42. Let j be o(-46). Solve j*q + 2*u - 2 = 0, -u + 43 = 5*q + 36 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p. Let s(z) = z**3 - 5*z**2 + 4*z - 6. Let h be s(4). Let f be c(h). What is the second derivative of 0*l**3 - 3*l + 4*l**3 - f*l**3 wrt l?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + s = 9, 2*r - 5*s + 2 = 25. Which is the second biggest value? (a) 3\/23 (b) -0.1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 = 3*c, 4*c + 3 = -5. Let b(w) = 14*w**2 - 7*w - 7. Let s(n) = 13*n**2 - 6*n - 6. Calculate t*s(p) - 6*b(p).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -0.094, -0.1, 202?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, -114, -20, 5, 2, -3 in decreasing order.\nAnswer: 75, 5, 2, -3, -20, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -3*i**5\/20 - 7*i**3\/6 + i**2. Let t(j) = -3*j**2 - 2. Let u(h) = -2*b(h) + 7*t(h). Let x(d) = -3*d. Calculate x(u(c)).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20780*f - 174*f**2 + 176*f**2 - 21295*f.\nAnswer: 2*f**2 - 42075*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2*i, -4*i + 3*r = i. Suppose i = -12*d - 10 - 50. Sort 2, d, 5, 0 in descending order.\nAnswer: 5, 2, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75430706.\nAnswer: 2, 13, 2901181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + y = -0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**4 - 308*w**3 - 4332*w**2 + 5236*w + 9256 = 0.\nAnswer: -13, -1, 2, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 90.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 29*b**2 - 38*b - 51. What are the prime factors of f(-28)?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*f = -38*f + 98*f + 1598 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 4)*(5*a - 5*a - a) + (a - 3*a + 5*a)*(4 - 4 - 10) to the form q + d*a and give d.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 7*n**2 - 9)*(-171 + 167 + 4*n + 2*n).\nAnswer: 42*n**3 - 28*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -7*l**5 + 12*l**2 - 2*l. Let u(h) = -3 + 3 - 7*h + 37*h**2 + 0*h - 20*h**5. Let f(m) = -2*u(m) + 7*x(m). What is the third derivative of f(s) wrt s?\nAnswer: -540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3348?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + -4 + 55 - 109 - (4 + -1).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -27.293999?\nAnswer: 2.7293999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15614 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 734835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1339 - -912. Let v = 426 + r. Let f = 0 + -3. Which is the closest to v? (a) -0.4 (b) f (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3020 = 14*m - 11778. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**5 + 0*n**2 + 0*n**2 + (-4*n**3 - n**3 + 3*n**3)*(121*n**2 - 97*n**2 + 77*n**2).\nAnswer: -204*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -4. Let j be (-42)\/18 + f\/(-3). Let y = j + 8. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -24206634, -24206635, -24206636, -24206637?\n\"Answer: -z - 24206633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*j - 33*j = -2*s + 9940, 0 = 5*s + j - 24826. List the prime factors of s.\nAnswer: 2, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6094375?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -661.306868 + -0.623?\nAnswer: -661.929868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 52 = 10*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30 + 2*t**4 + 2*t**2 + 10*t**4 - 16*t**4 + (-t**4 + 0*t**4 + 2*t**4)*(-5 + 3 + 0).\nAnswer: -6*t**4 + 2*t**2 + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22190*q = 22159*q + 168888. Calculate the greatest common factor of q and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -7*y**5\/60 + y**4\/4 - 4*y**2. Let o = 15 + -21. Let x(i) = 13*i**2 - 11*i. Give o*x(s) - 11*t(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*s - 1008 = 35*s. Calculate the greatest common divisor of s and 27672.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 10 = 0, u - 26 = 2*m + 70. Calculate the lowest common multiple of u and 16.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 751\/7, 4, -2, -0.2, 0.3, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 30*b**2 + b - 606. What is h(5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29737\/5 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28.1*-6692.9.\nAnswer: 188070.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -3*g**3\/2 + 15684023*g**2\/2 - 5228007*g = 0.\nAnswer: 0, 2\/3, 5228007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1695340*x**2 + 56147*x + 20 wrt x.\nAnswer: 3390680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yc when two letters picked without replacement from ceckkykykcccc?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 1 = 4*h - 9, -z + 28 = 5*h. Suppose 3*y - h*y = -28. Suppose -88 = -18*t + y*t. Find the common denominator of t and 101\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 456566.7 millimeters to nanometers.\nAnswer: 456566700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**2*y**4 + w**2*y**3 - 8*w**2*y**2 - 9*w**2 + 167*y**4 - 1 wrt y?\nAnswer: 24*w**2*y + 6*w**2 + 4008*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjirriijoxf. Give prob of picking 1 r and 1 i.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 758421 and 59670.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*q**3 + 37*q**2 - 6*q + 12497 wrt q?\nAnswer: 36*q**2 + 74*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 111922*w. Let q(r) = 369*r. Calculate b(q(f)).\nAnswer: 41299218*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1109269847.\nAnswer: 7, 158467121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, p: 2, c: 1, s: 1, l: 4, f: 2}. What is prob of sequence cs?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + (3 + sqrt(612)*-2)**2 - sqrt(612))*-1.\nAnswer: -2457 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12330)\/548*(-2)\/(-10)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 12*n - 8. Calculate p(7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 724\/7 or 5.5?\nAnswer: 724\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/11 (b) 2\/13 (c) -5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-4\/7))\/x**(-1\/4))**(2\/43))**31 assuming x is positive.\nAnswer: x**(1581\/602)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 992a?\nAnswer: -9926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -32*s + 40*s + 37*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.75074 centuries to decades.\nAnswer: 707.5074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -111.19 - -111.35. Which is the nearest to 0.4? (a) r (b) -1\/54 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-3))\/(((-14)\/144)\/((-1358)\/(-582))).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**4\/4 - 4*v**3\/3 + v**2\/2 + 5*v - 5. Let u be 11\/(-2) - 2\/4. Let w(f) = f + 2. Let d be w(u). What is l(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/37 or 834?\nAnswer: 834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 364160 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 139.08783 hours to weeks.\nAnswer: 0.82790375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwzyreeyrgzgwywrzy. Give prob of picking 1 g and 1 e.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -741333, -1482734, -2224203, -2965740, -3707345, -4449018?\nAnswer: -5190759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 392289974 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -4094.3 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 times 0.2?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003814 to 6 dps.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 9 (b) -30.5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/2 and -36\/65.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - 4 - 3*u - 9. Is f(-10) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 31, -6, -23\/26?\nAnswer: -23\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4580 = 6*s. Let d = s + -2227\/2. Find the common denominator of -77\/10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1705 divided by 23.\nAnswer: -1705\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39593 is divided by 661?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1588*u + 823*u + 802*u - u**2.\nAnswer: -u**2 + 37*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 585 * -455.\nAnswer: -266175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68558 + -32427948\/473. Find the common denominator of -29\/5203 and i.\nAnswer: 5203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l + 6. Let w be g(3). Suppose 3*z - 2*t + 3 = 2*t, 4*z + 5*t - 27 = 0. Let f(c) = 3*c**2 + 1 + c - 1 + 2 + c**z. What is f(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31727821?\nAnswer: 31727821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*z + 9. What is the greatest common divisor of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3208 is divided by 178.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 17 = r + 36, -3*r - 257 = -5*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/9)*(b*b*b*(b\/(b\/(b\/((b\/(b\/(b*b\/b**(-1)*b)*b))\/b))))\/b*b*b*b)\/b)\/(b\/((b**0*b)\/b))**(-20\/7))**(-7) assuming b is positive.\nAnswer: b**(-355\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1792 and 1778?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-8 + (-2 - -5)) - -13?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2202*x**2 - 3*x + 25 + 9 - 2207*x**2 - 16*x**5 wrt x?\nAnswer: -320*x**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3979 or 3977?\nAnswer: 3977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 85*f + 1. Let v(w) = 172*w + 2. Calculate 5*g(s) - 2*v(s).\nAnswer: 81*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 10*o - 24*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*g - v, -g + v = g - 2. Solve -2*y + 0*y + g = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 171*y = 172*y - 20, 0 = -4*b + 3*y + 30. Let f(a) = -a**2 + 7*a - 10. Calculate f(b).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1570, -3055, -4458, -5779?\nAnswer: -7018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -256 - 155?\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 17*p. Let x be (2\/(-6))\/((-1)\/12)*211. Let u(n) = x*n**2 - 3 - 845*n**2 + 3. Give d(u(v)).\nAnswer: -17*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 3*s + 7. Suppose 20 = 3*u + 4*x, 0 = -u - 3*x + s + 8. Suppose -3*w = -5*i + 252, w = -u*i + 5*i - 254. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*u = 5826, -1151 = 4*z + 4*u - 6975. Calculate the greatest common factor of 18 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/10)\/((-5)\/100*2). Suppose 4*g + 15 = 2*o + 1, 0 = 2*g + 4*o + 22. Let w = g - q. Put 4, -5, w, -2 in descending order.\nAnswer: 4, w, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4812 by 6.\nAnswer: -802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 - (-3 - (1 + 379))?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 17*z**3 - 26*z - 58*z**3 + 23*z**3 - 3 - 22*z**2 + 16*z**3. Is k(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1718, -1717, -1716?\nAnswer: -1715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -176 divided by 16\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.88 - 0.12. Let p = -0.069 - -8.069. What is the second smallest value in y, p, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -9*o + o**2 - 11*o - 3 + 6*o - 7. Let z be y(15). What is the third derivative of 6*u**2 + 0*u**5 - 4*u**z + u**5 wrt u?\nAnswer: -180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-150)\/(-15))\/20)\/((-3)\/1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270032760 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 15, d: 4}. What is prob of picking 2 r and 2 d?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.037631 * -2.\nAnswer: -0.075262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 4200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -15.6. Which is greater: p or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 106*d**3 - d**2 - 302*d + 600. What is the lowest common multiple of 1176 and l(2)?\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from amapn. What is prob of picking 2 a, 1 m, and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 38?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1112, -1127, -1176, -1277, -1448, -1707?\n\"Answer: -3*o**3 + o**2 + 3*o - 1113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -18732 (b) -3\/10 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*q + 124, 3*q - v - 157 = 19. Suppose 2*l - 4*g = -656, 809 = -4*l + 3*g - 478. What is the remainder when q is divided by (-1)\/(-8) + l\/(-16)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 8:42 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -739 - -388. Let g be (k\/(-4))\/(1\/(-4)). Let u = 574 + g. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*z**2 - 1593*z**4 + 684*z + 2*z**2 + 470557 - 470557 wrt z.\nAnswer: -38232*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2\/51, 23, -0.5, -2.3, -2 in descending order.\nAnswer: 23, 2\/51, -0.2, -0.5, -2, -2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12502034.\nAnswer: 2, 6251017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -3. Let p be (0 + g)*(-3)\/(-6). Suppose 4*s - 11 = -4*v + v, p = v + 2*s - 5. What is the greatest common factor of 5 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 5*l**2 + 8*l - 10. Give t(7).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 5*y + 8. Suppose 2*w - 5*w + 18 = 0. What is the units digit of g(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, f: 2, i: 2, u: 1, d: 2, t: 1}. What is prob of sequence at?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + m - 4*m - 4*b + 794 = 790, -4*m + 2*b = 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1498 + 1495. Let t = 1 + -1. Sort n, -5, t in descending order.\nAnswer: t, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(11) - (sqrt(11) - sqrt(176))))**2 - (sqrt(891) + -2) - (1 + -1*(sqrt(11) + sqrt(22)\/(sqrt(4)\/sqrt(2))))**2.\nAnswer: -5*sqrt(11) + 1541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-33)\/(-22) + 2\/4. Let j(y) = -y - 5. Let g be j(-10). Solve g*n + b = 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 662472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 5*l**2 - 7*l + 6. Let a be b(6). Suppose -2*v - 4 = -3*v. Sort v, -3, a.\nAnswer: -3, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l + 57 = 0. Suppose 21 - 5 = -2*b + 4*m, 2*b - l = -3*m. Solve -7 + 17 = b*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*(sqrt(1584) - (sqrt(1584) + -2*sqrt(1584)*-2))**2 + (6*(sqrt(1584) + sqrt(1584) + 1) + -2)**2) + 1.\nAnswer: -2281055 - 6912*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6066 (base 14) to base 15\nAnswer: 4d89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 9 = -3*q, 4*l = -18*q + 14*q - 28 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*d + 123*d = -3537 - 1039 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7878.\nAnswer: 2, 3, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 729618833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -321 - -326. Solve 10 = -3*o + 2*q - 1, -y*o - q = 14 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -567.4 (b) 2\/5 (c) -3680\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2276 = 4*c, 5*f + f - 1722 = -3*c. Calculate the lowest common multiple of c and 3.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6877*s**2 - 8538*s**2 - 19076*s**2 to the form m + j*s + q*s**2 and give q.\nAnswer: -34491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*t + 13026 - 13169 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77 + 82. Suppose 0 = w*k + 3*n, k - 7*n = -3*n + 23. What is the third derivative of k*j - j + 6*j**2 + 31*j**4 - 2*j wrt j?\nAnswer: 744*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38885592 is divided by 4320621?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 86783003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12010 - -60981\/5. Let c = a - 132217\/710. Which is bigger: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1485*t**2 + 317*t**2 + 2765*t**2)*(4 - 2 + 0)*(-4 - 6 + 7) in the form g*t + q + z*t**2 and give z.\nAnswer: -9582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.10807049 - 0.145615295. Let a = -2.037544925 - q. Let t = a + 2. Round t to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayjjjsayaaysjys. Give prob of sequence ss.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 308\/112 + (-1)\/(-4). Suppose -2 = -b*o - 2*t - 3*t, 0 = -o + 2*t + 8. Let k(p) = p - 4. Let q be k(7). Solve q*s - 2*g - 14 = -1, -o*g - 11 = -s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 462 and 21021.\nAnswer: 42042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z + 6309 + 2739 = 0. Let k = z + 362. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -8. Let v = -0.89 + q. Let k = -0.10999996 + v. What is k rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.58 - 0.02. Let d = l - -1.600014. Round d to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 644393640?\nAnswer: 2, 3, 5, 11, 521, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**5\/20 - m**4\/12 - m**3\/3 + 7*m**2\/2 - m. Is o(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122201011112001 (base 3) in base 6?\nAnswer: -533421001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (982\/4)\/(18\/36). Suppose 4*i - 3*j = 548, -4*j = 3*i + 80 - t. What are the prime factors of i?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 19\/(95\/200) + (-10)\/(-2). Suppose -h*d + 12*d + 924 = 0. What is the greatest common divisor of d and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + s + 1. Let b(k) = 10*k - 11*k - k**3 + 3*k**2 + 3*k**2 + 6. Let x be b(6). What is r(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = z + 24. Solve z = -4*r + 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 20 = 5*r - 10*r, 0 = y + 5*r - 20. Let x(h) = -2*h**2 + y*h**2 - 2 + 3*h - 2 - h**3. What is the units digit of x(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (-3 - (0 - 2)). Let m be 8\/(-10) + 1\/5 + 1. Factor -2*t + 8\/5*t**i + m*t**5 - 8\/5*t**4 + 4\/5 + 4\/5*t**2.\nAnswer: 2*(t - 2)*(t - 1)**3*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21677\/(-318) - -68)*(-32)\/6\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10 - 1*-2)*5\/(-5). Suppose 2*x - c = 0, -4*i - 3 + 23 = -5*x. Let a be -2 - 0 - (i + -14). Solve -y = a*z + 2*z - 19, 2*z + 1 = 3*y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*o**3 + 35*o**2 + o**3 - 39*o**2 + 2 to the form m*o + l*o**2 + v*o**3 + d and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 57311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 - -0.73. Suppose -2*w - 2*w - 3*n + 14 = 0, -w = 2*n - 6. Let z be (-10)\/(-75)*(-3)\/w. What is the biggest value in 2, z, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 635*f - 5082. Calculate m(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00756967 rounded to 4 dps?\nAnswer: -0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 58*m**2 - 68*m**4 - 2*m**3 - 3 - 4*m - 33*m**2 + 72*m**4 - 34*m**2 in the form u*m**2 + h*m**3 + n*m**4 + j + a*m and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2134, 2132, 2130, 2128?\n\"Answer: -2*q + 2136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4267888681.\nAnswer: 7, 571, 152539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*o = -5*g - 106, 2*g - 5*o = -55. Let k = 8 - g. Suppose 0*q + k = i - 4*q, 5*q = -4*i + 133. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.05, 2, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1403 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - 8f?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4275*m**5 + m**2 - 18*m wrt m.\nAnswer: -256500*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 5 - 174. Suppose 4*d - 3*m + 313 = 0, -2*d - 2*m - m - r = 0. Let l = -79 - d. Solve 5*n - 1 + 31 = l*s, 2*n + 1 = -s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 3*a**2 + 5*a - 4. Let r be j(4). Suppose r = -5*b + 15 - 80. What are the prime factors of b*(-1 + 0\/(-1))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -24*s. Let o(r) be the first derivative of -r**3\/3 - 4*r + 24. Let g(i) be the first derivative of o(i). What is g(f(n))?\nAnswer: 48*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -3\/19 (b) -5\/4 (c) 0.3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 5 - 10)*(3 + f**2 - 3) - 3*f**2 + 0*f + 0*f + 0*f**2 + 2*f**2 + 2*f**2 + (f + 3 - 3)*(3 + 0 - f - 2) + 0*f**2 - f**2 + 3*f**2.\nAnswer: 3*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 12*g**2 + g - 9. Let m(h) = h**2 + 10*h - 12. Let y be m(-12). Let u be l(y). Suppose u*s - s - 86 = 0. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007754934 to 6 dps.\nAnswer: 0.000775","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*3355459.\nAnswer: -1006637.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -43*h**3 - 2*h**2 + h. Let z be q(1). Let v = -12 - z. Suppose -v = -2*d - 4. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 0, c = -b + 1 + 1 + 4 - 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**3 - 5*y**2 + 13*y + 17. Let a(q) = -5*q**3 + 8*q**2 - 20*q - 26. Give -5*a(z) - 8*k(z).\nAnswer: z**3 - 4*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a century in months?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-141)\/(-45) - 3)\/((-12)\/(-20)). Let j = -7 - -7. Which is the nearest to j? (a) 0.2 (b) 1\/4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 9*s**2 + s + 6. Let u be t(9). Let m be 8\/12 - (-34)\/(-6). Let n be 2*m*(-2)\/4. What is the highest common divisor of u and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -26.0225. Let q = v + -0.02250353. Round q to seven decimal places.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 25) + 511 + -537 + (3 - -22).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 177 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -743 - -931. Calculate the highest common divisor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 135013922?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3112 + 3116. What is the nearest to 4.2 in q, 1, 0.5, -0.03?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014706634 rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 97102.24 hours?\nAnswer: 349568064000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 173046770 to the nearest one hundred thousand.\nAnswer: 173000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 10 + -5 + 12 - (-3 + 2 - -18)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*z**2 + 10*z**2 - 5*z**2 + (-6 - 2 - 3)*(-z - z**2 - 13 + 13) as v*z + t + x*z**2 and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 6*n + 6252 = -3*l, -5*n + 6*l = -10424. List the prime factors of n.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 356 + -356.5. What is the closest to 0 in 6, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9404713\/109676 + -1\/27419. Let z = -86 - y. Which is greater: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305894*q**2 - 310788*q**2 + 926489*q**2 + 387545*q**2.\nAnswer: 1309140*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3 - 410*x**2 + 41612*x + 84872 = 0.\nAnswer: -2, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9914 + -3?\nAnswer: -9917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 5*x - 0*x - 280, 5*b = -2*x - 308. Let q be (7\/((-21)\/15))\/(25\/b). Solve 3*f = 3 - q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**2 + z + 2. Suppose 0*j = 3*j - 6*j. Suppose -2*s = -j*s - 2, 2*i + 3*s - 5 = 0. Let o(n) = -n**2. What is i*q(u) + 2*o(u)?\nAnswer: u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 12:25 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 9.9\nAnswer: -0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 808, 809, 812, 817, 824?\nAnswer: 833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -211 + 295. Calculate the greatest common divisor of 36 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 6*o - 6. Is (-2)\/(-2*o\/70) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.07 and -7892036395090.\nAnswer: -7892036395089.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 12 = 2*o, 0*n + 3*o = -2*n + 6. Suppose 7*z + 25 = 2*z, -n*p + 11 = -z. Let b(y) = 4*y**p + 166*y - 166*y. Let a(l) = 2*l**2. Calculate b(a(s)).\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k + 18*k + 24 = 0. Suppose -4*y = -k - 18. What is the tens digit of (-63)\/42*(-344)\/y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 7*z - 6 = -5*s, 0 = -3*z - 12. Let b be 6*((-3 - 24) + s). What is the lowest common multiple of 8 and (-8)\/(-44) - b\/22?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8810303 and -0.04397?\nAnswer: 8810303.04397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) 0.591 (c) -1 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(567) + 4 - (-3 + sqrt(567) + 0))**2 - (sqrt(1008) + (sqrt(1008) - ((2 + sqrt(1008))**2 - sqrt(1008))*-3 - sqrt(1008)))*-4.\nAnswer: 606*sqrt(7) + 12760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-14))\/((-12)\/28) + 2632\/(-6204).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.19299 - -0.20701. Put -6, -3\/4, j, -4.29 in ascending order.\nAnswer: -6, -4.29, -3\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f**2 - 5. Let o(a) = a**3 - a**2 + 1. Suppose 7*c + 15*c = -22. Calculate c*j(b) - 3*o(b).\nAnswer: -3*b**3 - 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llxllllllllflflf. What is prob of sequence lxl?\nAnswer: 11\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/3))**(-4\/21)\/(n**(1\/20)\/(n\/(n*n**(-2\/13)\/n))))**(-26) assuming n is positive.\nAnswer: n**(-17041\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 4*f - 2. Suppose 8 = -g + 3*d - 1, -15 = 3*g + 3*d. Let c be y(g). Calculate the greatest common factor of c and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1427, 3966, 12953, 25534, 41709, 61478?\nAnswer: 84841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -266, -268, -270, -272, -274, -276?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 2375703?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2131*d = -378*d - 10036 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 198.7306 millilitres in litres?\nAnswer: 0.1987306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1319 + -3595. Let c(a) = 3519*a**3 + 8*a**2 - 2*a - 6. Let s be c(-4). Let z = s + l. Round z to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**4 + 5*b**4 + 13*b**4)*(1 + 0 + 0).\nAnswer: 16*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*c = 62*c - 26*c - 434160. What is the greatest common factor of 81 and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/10)\/(h**9\/h))**(6\/25) assuming h is positive.\nAnswer: h**(-249\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -7*v - 50. Let j be w(-19). Differentiate 0*i**2 - 20 + 0*i**2 - j*i**3 + 11*i**3 with respect to i.\nAnswer: -216*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven halves of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*h**3 + 75*h**3 - 101*h**3.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*r + 2*h + 2068 - 1968, 2*r + 2 = -5*h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1783 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -93\/446768 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002258311 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -99 - -104. What is the least common multiple of u and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 5*p - 25, 4*u + 2*p - 751 = -763 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -310*n + 318 - 1965 - 8898*n**2 + 8901*n**2 - 211 - 282*n wrt n.\nAnswer: 6*n - 592","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.5 + 0.5. Let n = -0.963 - 0.037. Let s = 20.9 + -20. What is the third smallest value in s, i, n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/q**(-3))\/q*q*q*(q**(-8)\/q)\/q*((q*q**7*q)\/q*q)\/((q**2\/q)\/q*q*q))**(-2\/19) assuming q is positive.\nAnswer: q**(-6\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q - 16. Let g(o) = 7*o - 31. Let m(u) = -3*g(u) + 5*r(u). Suppose -2*x = 10 + 6. Let s be (-1*(2 + -2))\/(6 + x). What is m(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 - 34985*l + 105000.\nAnswer: -5*(l - 3)*(l + 7000)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - z + 4. Let m(g) = g**3 - 13*g**2 - 13*g - 14. Let y be m(14). Let b be s(y). Solve -2 = b*f - 22 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28, -19, -32, -79, -172, -323, -544?\n\"Answer: -2*p**3 + p**2 + 20*p - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*m + 107*m = -110 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -203*12\/(-308) - (-5)\/(-1). Let 2\/11*d**2 + o - 16\/11*d = 0. What is d?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/1900 and -262\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 111 and 9532263?\nAnswer: 352693731","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -15641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2616\/40 + 8 + 9\/15. Calculate the greatest common factor of a and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20476?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 4. Suppose 10 + p = r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 62, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 900*j + 43013 + 6619 = -887*j - 281*j for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*o - 42 = -7*f, -15 = -2*f - 3*o. Suppose -f*d + 6*d + 288 = 0. Does 24 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102 - 101.5. Let p = -22.3 + d. Let a = p - 11.8. What is a rounded to the nearest integer?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1360 and 29410.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.429 - -0.0289.\nAnswer: -0.4001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*s - 23 + 83. Let z be (2 + 14\/s)\/((-32)\/80). Suppose 2*x = 4*x - q - 4464, -z*q - 6697 = -3*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**4 - 22*p**4 + 10*p**4)*(0 + 3 - 1) - 2*p**4 - 10*p**4 + 19*p**4.\nAnswer: -27*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 0, 53 in descending order.\nAnswer: 53, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 10:50 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -92184156*d**2. Let c(h) = 6*h**2. Determine g(c(q)).\nAnswer: -3318629616*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1120, 1123, 1124, 1123, 1120?\n\"Answer: -i**2 + 6*i + 1115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from ggbbggg?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yd when two letters picked without replacement from {d: 1, y: 1, w: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76*a**2 - 3055*a**5 + 86*a**2 - 8*a**2 - 154*a wrt a?\nAnswer: -183300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8210.252 rounded to zero dps?\nAnswer: 8210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 3*s + 2*w, -2*s + 21 = -5*w - 0. What is the greatest common divisor of 90 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a - 1\/2*a**3 + 7 - 13\/2*a**2. Let c(q) be the first derivative of d(q). What is the derivative of c(f) wrt f?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 9:45 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -22\/5, 0, -3 in ascending order.\nAnswer: -22\/5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-8) - 9171\/44. Let j(s) = s**3 - s + 2. Let x be j(-6). Let d = x - h. Which is the closest to -2? (a) -0.2 (b) d (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/5 - (-34)\/10. Suppose 8*i + 25 = k*i. Let r = i + 5. What is the third biggest value in 1\/5, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 1. Let a(i) = -i**3 + 7*i**2 + 6*i + 9. Let x be a(8). What is the units digit of b(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1759*k = -1761*k - w - 12, 0 = -4*k - w - 26 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -18, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -1444.3 and -230193.\nAnswer: -231637.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 3*t = 16, 0*w = -w - 3*t + 14 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*f + 12*v = 26*f + 108, 6*f - 98 = 7*v - 9*v for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17693 is divided by 347.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 8 = 5*b. Let g = -434 - -435. Sort b, g, 0.\nAnswer: b, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**13*r*(r*r**(4\/15)\/r)\/r)**(-3\/8) assuming r is positive.\nAnswer: r**(161\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, -2\/19, -3\/2, -4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -117, -301, -491, -687?\n\"Answer: -3*q**2 - 175*q + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12854, 30383, 47912, 65441, 82970?\n\"Answer: 17529*o - 4675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1720*j**2 + 9830*j - 2941. Calculate b(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32940*w**6 - w**2 + 527 wrt w?\nAnswer: -3952800*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -728*j + 205*j - 484*j to v*j + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, y: 1, r: 1}. Give prob of sequence yrt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.7 + 1.8. Put n, -2, -0.3 in ascending order.\nAnswer: -2, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18117 and 477037.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1335 - 2662 + 1545)*(0*c**5 + 4*c**4 - c**4 - 3*c**5).\nAnswer: -654*c**5 + 654*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.054 or 676?\nAnswer: 676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 890, 5391, 13508, 25241, 40590?\nAnswer: 59555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 5*d - 81, 26*s = 21*s - 5*d + 100. Calculate the greatest common factor of s and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464521?\nAnswer: 464521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*f - 5*u = -129, -5*f + u = -593. Is f - 3\/((-9)\/6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 48 = 0, o + 3 = 12*d - 17*d - 0*o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 248 - 54. Suppose -q - 134 = -4*p. Let j = p - 50. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2346 and 2142.\nAnswer: 49266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)*-1)\/(2*sqrt(175)) + -1 - (4 + sqrt(200) + -3 - sqrt(200) - (sqrt(200) - (sqrt(200) + 2 + -2)))**2.\nAnswer: -2 - sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqe when three letters picked without replacement from {i: 1, s: 1, l: 2, e: 4, q: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.1, -476, -2, 0.2 in decreasing order.\nAnswer: 0.2, -0.1, -2, -3, -476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(19)*2)**2 + (sqrt(19) - (sqrt(19) - sqrt(152)\/(sqrt(16)\/sqrt(2)))) + -1 + -1.\nAnswer: 21*sqrt(19) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - u = 33, 6*s + u - 95 = 9*s. Let v(a) = -a**3 - 34*a**2 - 60*a + 65. Let c be v(s). What is the closest to c in 0.5, -0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*j = 20*j - 124 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (t + t - t + (-t + 3*t - 4*t)*(2 + 1 - 6))*(-t**3 - 3*t**2 + 3*t**2) as l*t + j*t**2 + q + n*t**4 + i*t**3 and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76*l**4*q**3*t + 2*l**2*q**3*t + 3*l**2*t - 3*q**2*t wrt l.\nAnswer: -1824*l*q**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 5, 100, 0.158925?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x - 6. Let u be z(-4). Find the third derivative of -11*i**3 - i**2 + 3*i**2 - 13*i**u wrt i.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k + 2*k + 10*k + (1 - 1 + 1)*(-k + 0*k + 3*k) + 0*k - k + 3*k - 5*k + 3*k + 3*k - 6*k + 4 - 4 to the form n + c*k and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 113 = -d + 123, -5*n + 20 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -13.7 times -0.3\nAnswer: 4.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*y + 21*y + 47*y = 9*w - 37, -3*w - 3*y = 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, k: 1, r: 3, u: 5, j: 3}. Give prob of picking 1 j, 1 u, and 1 k.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*q + 120*q - 219 = 0. Let n(s) be the second derivative of 1\/4*s**4 + 3*s - 6*s**2 + 0 - 3\/20*s**5 + 2*s**q. Solve n(w) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 6:46 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/31)*i*i*i**27 assuming i is positive.\nAnswer: i**(897\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 565 and -0.4660628187.\nAnswer: 564.5339371813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**4\/2 - 4*a**3\/3 - 2*a**2 + 1. Suppose -3*r = 2*r - 15. Let d(o) = -2*o**3 - 3*o**2 - 3*o. Calculate r*q(n) - 4*d(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 269*l**2. Let u(a) = 2479*a. Determine u(n(z)).\nAnswer: 666851*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -16*n + 10. Let z be i(-7). Suppose 2*h - z = -4*v + 124, -2*v = 5*h - 135. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w**2 + 0*w**2 + 0*w**2)*(112*w + 182*w + 224*w)*(1 + 2 - 5) to the form n*w**2 + j*w + a*w**3 + s and give a.\nAnswer: 1036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51306\/7 + -51302\/7. Let w = 8 + -14. What is the nearest to 1\/2 in -1, w, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3 = 1. Suppose 5*t - 9 = -q, -t + 2*q + 0*q - 7 = 0. Let r be (-52)\/(-20) + -2*t - 1. What is the nearest to 0 in r, 0.5, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5624289 divided by 2871\nAnswer: 1959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 341 divided by 482898\nAnswer: 341\/482898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1300752um in millimeters?\nAnswer: 0.0001300752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-909)\/2727 - (-40)\/3\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 1 + 15 - 4. Let x be 9\/(-21) - w\/14. Let g(h) = -7*h - 1. Determine g(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/2637 and 13\/21401599.\nAnswer: 192614391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g = -2*g - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 191438242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxkxxkhhkxhhhkhxh. What is prob of sequence kkk?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/(39\/31122*133)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g**2*m - g**2 + 21057*g*m - 14609 with respect to m.\nAnswer: 3*g**2 + 21057*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/69)\/(((-70)\/(-595))\/(16\/68))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a kilometer in meters?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4*s + 16, s + 4 = 2*s - 3*k. Solve -17 = -s*g - 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602974 is divided by 3773?\nAnswer: 3067","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**3 + 5*k**3 - k**3 + (-k**2 + 4*k**2 - 5*k**2)*(-2 - 2*k + 2) + 447*k**3 - 347*k**3 + 883*k**3 - k**3 + 2*k**3 + 0*k**3.\nAnswer: 991*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 537800 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwdwwwfwdvwffd. Give prob of picking 1 w, 1 f, and 1 v.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 1, 0.01, -470, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (-119)\/(-21) - (-25)\/(-15). Solve 8*b = -o*q + 12*b - 2, 40 = 5*q + 5*b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1546*g**2 + g*y**2 - 352*g*y + 2*g + 13029*y**2 - 32*y wrt g.\nAnswer: 3092*g + y**2 - 352*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + j - 16. Let h be x(0). Let v = h - -20. Suppose 0*t + t + 55 = 4*w, -3*w + 2*t = -40. Calculate the smallest common multiple of w and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21, 107, 249, 447, 701?\n\"Answer: 28*h**2 + 2*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 93.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 2. Let b(t) be the second derivative of t**3\/6 + t**2 + t. Is b(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 3*g**3 - 70*g**2\/11 + 8*g\/11 = 0.\nAnswer: 0, 4\/33, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*m - 18 = 0, c - 2*m + 0 = 8. Let l be 2 - c\/(8\/(-2)). Let o(x) = 3*x**2 + 3*x + 1. Is o(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3\/4 (b) -0.4 (c) 6 (d) 0 (e) 120\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-777)\/222)\/((-1653)\/(-6)). Is j bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -5, 9842, -3, 2 in descending order.\nAnswer: 9842, 16, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2119.961 - 2118. Let r = -0.039 - o. Let x(q) = q**3 + 6*q**2 + q + 3. Let f be x(-6). Which is the nearest to 2\/3? (a) f (b) r (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -71c48 + -332?\nAnswer: -71f7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -6*g - 4. Let p(i) = 2*i + 3*i + 2*i**2 - 6*i - 1. Let j be p(g). Solve 2*q = 4*a + 6, 6*a - a + j*q + 30 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l - 31\/12*l**5 + 25\/6*l**3 + 0 + 171*l**2 - 1\/6*l**4. What is the second derivative of z(m) wrt m?\nAnswer: -310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 8*h. Let o(k) = -2*k. Let u be o(14). Let c be (-48)\/(-28) + (-8)\/u. Put h, -5, c in increasing order.\nAnswer: -5, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 + 0.8. Let h be ((-15)\/9)\/((-30)\/4). What is the third smallest value in -2\/7, n, h, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + 1. Let z = 9 - j. Let i = z + 2. Are 3 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1115431\/6570 + -1\/730. Let n = k + 170. Which is the second biggest value? (a) 2 (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/432 and 77\/300?\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -0.5, -587?\nAnswer: -587","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 3*s - 28. Let f(y) = y**3 + 8*y**2 + 5*y - 6. What is f(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.8 + -12.2. Let k = -31 + 219\/7. What is the closest to k in -2\/11, -5, a?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yuwb when four letters picked without replacement from {h: 4, y: 1, w: 2, u: 2, b: 6}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - y + 19. Let x be z(0). Suppose 7*k + 2*k = 855. What is the greatest common factor of x and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a. Let h(f) = 9*f + 2. Give h(i(l)).\nAnswer: -45*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/210)\/(8\/10))\/(192\/(-256)).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 7.2. Let x = -18.3 - -18. Let v = x - n. What is the nearest to -0.1 in 4, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 9:57 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24\/97 - -9653\/582. Find the common denominator of i and -1\/2208.\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480494 to the power of 1\/2, to the nearest integer?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201429 is divided by 67115?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*a + 5*k, 16*a - 17*a - 3*k + 32 = 0. Solve -3*s - y - 6 = -a, -4*y = -2*s + 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 - 28. Suppose -v*m - 18 = -25*m. Let w be 5 - 1 - 39\/m. Which is bigger: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26659*o**4 - 253*o**2 - 2*o + 3?\nAnswer: -639816*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + -26)*(5 + -3) + 3. Let h = t + 153. Is 19 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-4)\/((-24)\/3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1345152 (b) 0.4 (c) 3 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, k: 3, o: 2, e: 3, v: 3, d: 4}. What is prob of sequence doko?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -831, -6540, -21925, -51792, -100947, -174196, -276345, -412200?\n\"Answer: -801*v**3 - 32*v**2 - 6*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 114 + -63. Suppose 4*x = -2*m - x + 78, 3*m - 83 = x. Calculate the remainder when u is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 278082 and 1606696?\nAnswer: 14460264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0025312 rounded to five dps?\nAnswer: -0.00253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -485*k + 2962. Does 68 divide w(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 14. Let h(a) = -a + 1. Calculate 2*h(f) - o(f).\nAnswer: -2*f - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 67695 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: Put 1, 5, -7, -771 in descending order.\nAnswer: 5, 1, -7, -771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 215*b**3 + 12*b**3 - 3*b**3 - b**3 - 1 + 1 + (2*b + 5 - 5)*(-2*b**2 + 2 - 2) in the form a*b**3 + r*b + u + f*b**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 264\/9 - (-2)\/3. Suppose 3*d + n - 2*n - 51 = 0, -4*n = d - a. Let q = -17 - -35. What is the highest common factor of q and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 124005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 2, -265 in descending order.\nAnswer: 4, 2, 1, -265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1936*q - 1963*q + 374625. List the prime factors of q.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 bigger than 123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**9*l**(4\/9)\/l assuming l is positive.\nAnswer: l**(85\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4133 a factor of 161676932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0304 + -243.0304. Let d = -242.999384 - p. What is d rounded to five dps?\nAnswer: 0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1769?\nAnswer: 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/1083 + -35747\/4332. Let h = -24.1 - -24.5. What is the nearest to 1 in h, -3, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n**2 - 23*n - 190. Determine z(-6).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence el when two letters picked without replacement from esllsesesses?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 10*d + 5*d = -207, 1 = d. What is the least common multiple of g and (16\/4)\/((-1)\/(-5))?\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 5 - 3)*(-k - 6*k + 4*k)*(27 - 2 + 9).\nAnswer: -714*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -38*b - 1875. Let t be j(-50). Suppose 4*n - 2*n = -10, 2*n = d - 11. Calculate the highest common factor of t and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -0.1, 1, 21, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*s = -52*s - 48*s + 136*s + 372 for s.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -8, 2, -3\/5, -4, -0.3, 1\/26424?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*g = -30118 + 28342 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 10*a + 13. Suppose 12 - 3 = -b. Let c be m(b). Suppose -4*d - c*q - 4 = -3*d, 0 = -3*d - 3*q + 6. Solve 0*t = d*t + 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -22*d + 152. What is n(14)?\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2540?\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-656)\/(-24)*-2)\/((-46)\/(-69)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 80800 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14922\/161 greater than -12.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -4 + 15 + -3 - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -299, -35 in descending order.\nAnswer: 3, -35, -299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/(-60)*(2\/5 + (-267)\/480).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a hour in seconds?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 4*s**2 - 10*s - 10. Let i be c(-5). Differentiate -23*a**2 + 12 - i + 7*a**2 with respect to a.\nAnswer: -32*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.046994 + -76.900006. Let c = i + -0.453. Round c to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19\/15 + (1056\/480 - 14\/5)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1418 + 4123. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*q + 38*q - 1 + 2)*(285 - 285 - 27*q**3).\nAnswer: -216*q**4 - 27*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -6*h**2 - 4*h - 3165. Let s(y) = -11*y**2 - 7*y - 6329. What is 7*m(l) - 4*s(l)?\nAnswer: 2*l**2 + 3161","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -7*p**2 + 10*p**2 + 6*p**2. Let j(v) be the second derivative of v**4\/4 + 5*v - 3. Calculate j(m(k)).\nAnswer: 243*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-50)\/4*((-24)\/60 - 0). Let j be o\/10 - ((-34)\/(-36))\/1. Which is the nearest to -1\/4? (a) j (b) 5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -9 + 0 + t + t. Let x be i(6). Is ((-1)\/x)\/(1\/(-393)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 2:26 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 + 7 - (204 + -142)) + 1 + (-2 - -8)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and -2541?\nAnswer: -17787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 + 222*z**2 - 1186*z - 57280. Calculate p(-114).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/14)\/((-8)\/28). Suppose -3*u + 66 = -s, -4*s - z - 32 = -2*u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mr when two letters picked without replacement from rmxfmxnxnxmnmnmx?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f + 2. Let t be (-54)\/(-3) - (2 + -5). Let v(p) = -3 + 0 - 3*p - 7 - t*p. Calculate 14*a(c) + 3*v(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence td when two letters picked without replacement from ddddtddd?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 118548 divided by -39516?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -11 + 9 + 259\/(-1) + 0. Let y = 454 - d. Let v = -507 + y. Calculate the highest common factor of v and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) 0.025 (b) 0.4 (c) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 319343241260 and -6.\nAnswer: 319343241254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 22*w**2 + 3 - 2 + 3 in the form h + x*w + k*w**2 and give k.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-5) - (-3)\/3. Suppose 0 = -y*w + 344 + 678. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -3. Let s(q) = -1 - 5*q + 4*q + 3*q**3 + 2*q - 2*q**2 + 3*q**2. Let i be s(h). Put i, -1, 0 in descending order.\nAnswer: i, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 1:06 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 246529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -44, -2.\nAnswer: -44, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 7*o - 2. Put o, 2, -2, 1 in descending order.\nAnswer: 2, 1, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 15*i**3 + 34*i**3 - i.\nAnswer: 19*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 8*k**2 - 13. Let f be s(7). What are the prime factors of 8\/(64\/780)*f\/15?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24565*b - 24577*b + 132. Calculate the greatest common factor of 8 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3003435 rounded to 4 dps?\nAnswer: -0.3003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*c + 8*c**3 + 2*c**3 - 10*c**4 + 2*c**3 + 2*c**3 + 16*c**2.\nAnswer: -2*c*(c - 2)*(c + 1)*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -143796, -287637, -431478, -575319, -719160, -863001?\nAnswer: -1006842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 997838945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 15 = -3. Suppose -5*o + 2*d + 18 = 0, 3*o + 2*d - 22 = -2*o. Let g = i - o. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 138753.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -j - q, 2*q - 12 = -4*j - 2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*m**3*p**2 - 4*m**3 + 12*m*p**2 wrt p.\nAnswer: 16*m**3*p + 24*m*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 11*a - 136 = 0. Suppose -q + u = -85, q - 5*u + 49 = 134. Let z be -8*(-1)\/(-2)*q\/(-4). Calculate the highest common factor of a and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -120672*b - 37177?\nAnswer: -120672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 196.5 from 1.7.\nAnswer: -194.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in three eighths of a microsecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -2\/21, 1, -1396, -9, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*d**2)*(71*d - 3644 + 3764 - 67*d)*(0*d - 2*d - d) as h + k*d**2 + x*d**3 + r*d + u*d**4 and give x.\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(2\/3)\/(8\/4). What is the greatest common factor of x and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*w - 2*z = -68*w - 24, 3*z - 22 = -2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**3 - 254*h - 39 + 357*h - 32*h**2 - 31 = 0.\nAnswer: -35, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 + -31*(-9331)\/3844.\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-four fifths of a meter?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, p: 2}. Give prob of picking 2 p.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.41 in -17, 82, 0.3, -0.1, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**5\/4 - 7*v**4\/12 - 163*v**3\/3 + 7*v**2\/2 - 386*v + 6. What is the second derivative of g(q) wrt q?\nAnswer: 30*q - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 939 a factor of 4856508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -a - 2*a**2 - 2*a**2 + 2*a**3 - 3*a**4 + 3*a**2 - 3*a**3 in the form u*a + c*a**2 + s*a**3 + l*a**4 + x and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.103392 - 2.101. What is o rounded to four dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/3))**(4\/7)*(i**(6\/5)\/i)\/(i*i**(-2\/13))*(i**(-2\/3))**(-2)*i*i**(-4)*i*i**(-1\/5) assuming i is positive.\nAnswer: i**(-155\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144053 is divided by 1117?\nAnswer: 1077","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 11599.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 1. Let y(c) = 4*c - 1. Let w(v) = -2*r(v) + y(v). Let m(k) = k - 1. Let f(u) = 3*m(u) - w(u). Let t(a) = -21*a. Determine t(f(p)).\nAnswer: -21*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 421, 1, -4, -5, 0, -21, -46 in decreasing order.\nAnswer: 421, 1, 0, -4, -5, -21, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/8 - 72\/672. Let d = -141.7 + 142. Put d, -1\/14, z in increasing order.\nAnswer: -1\/14, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - 1. Let d(s) = s**3 + 29*s**2 - 42*s + 26. What are the prime factors of d(y)?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -749276160 divided by 10\nAnswer: -74927616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17340 divided by 68.\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q. Let r(f) = -f - 5 + 3 + 0*f + 1. Let t(b) = -2. Let x(a) = -2*r(a) + t(a). Calculate j(x(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*p = -4*m + 12, 0 = 2*m - p - 8. Let j be (2 - m)\/(-1) - -1. Suppose w - j = 4*n - 104, -5*n - 4*w = -155. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -3300.3.\nAnswer: 13201.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22634349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/26 (b) -1\/9545 (c) -0.4 (d) 73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20.6 - 21. Let f(z) = z + 1. Let l be f(-3). Is x <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 27*t. Let j(d) = 4*d - 3405. Calculate j(i(k)).\nAnswer: 108*k - 3405","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 20 = 0, 2*d + 5*f - 67 = -6. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3) + 6\/6. Let w(l) = -l - 1. Let k be w(22). Is k greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 19*q**8\/56 + 31*q**4\/24 - 35*q**2 + q. Find the second derivative of a(c) wrt c.\nAnswer: 2280*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(-4)\/8 + 370587\/4050. Let c = b + -2\/675. Let y = c - 86. Is y < 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 3:57 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*((-5)\/((-30)\/(-4)))\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5*(-94)\/(-5) - -5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 33\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*v + 15 = 0, 37*v - 41*v = -2*u - 24. Let o(x) = x**2 - 1. Let c(g) = -1. Let p(z) = 3. Let k(i) = 21*c(i) + 5*p(i). Give u*o(h) + k(h).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6027\/5 at least as big as 1205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -37. Factor 20*s**2 - 10*s - 50*s**2 + m*s**2.\nAnswer: -5*s*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.05 + 11.05. Let y = -7 + l. Let v = y - 4.2. Which is the smallest value? (a) -0.1 (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1307, 0.1, 7, 1\/5, -6, -3\/2, -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o = -34 + 66 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 832903 and 2242.\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 384048 divided by 21?\nAnswer: 18288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 11*v - 10. Let r(k) = -60*k + 55. Let d(y) = 2*r(y) + 11*t(y). Let p(l) = 6*l - 2. Determine 5*d(x) - p(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56 + -58. Let u be y - 33\/(-15) - 82\/10. Let k = u - -33. What is the highest common factor of k and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of ((-5334)\/(-1905))\/((-4)\/(-23170))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62070 (base 8) to base 11.\nAnswer: -18304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2 - -1) + 1\/2)*(-5120)\/(-256)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 3. Let l be w(11). Suppose -4*i + l = -4. Suppose i*b - 698 = -4*h + 364, 0 = 5*h + 4*b - 1327. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 15) to base 16\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 4*y**2 + 1848*y - 8560000 = 0.\nAnswer: -1712, 1250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 2:58 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/2241477 and -19\/1269.\nAnswer: 6724431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-25)\/295))\/((-284)\/(-568)).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*l**3*x - 9*l**3 - 149*l**2*x + 224*l*x + 3764*l + x + 8 with respect to x.\nAnswer: -4*l**3 - 149*l**2 + 224*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -2 (b) -6 (c) -0.446 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 167492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2214 - -2216. Solve -4*j + 2*j = 5*n - 23, 0 = s*j + 3*n - 17 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*q - 51757, -g + 0*q + q + 17254 = 0. Let a = g - 241589\/14. Find the common denominator of a and -25\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15654\/133 - 2220\/19. Let -4\/7 - 2\/7*c**2 - p*c = 0. What is c?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**6\/120 - r**5\/12 - r**3\/6 - 2*r**2. Let d be j(5). Which is smaller: -3 or d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 - 4)*(-11 - 72*o + 11) + 2*o - 5*o + 4*o + (0*o + 4*o - 5*o)*(-2 + 3 + 1).\nAnswer: -217*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(24)\/sqrt(2) + ((sqrt(3) - (sqrt(3) - (sqrt(18)\/sqrt(6) - sqrt(3))))**2 - sqrt(3))*3 + 3) + -1)*-3.\nAnswer: -12*sqrt(3) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -50 + -25?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) - (sqrt(1216) + -2 + sqrt(1216) + -5 + sqrt(1216))) + (sqrt(1216) - -3*sqrt(1216)*-1))**2.\nAnswer: -448*sqrt(19) + 19505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 5 - 4*i + 11 + 2*i. Let j be a(0). Solve 3*t - j = -3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000009678856 rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 1 + -6 + -1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**6\/9 + 22*p**5\/75 + 7*p**4\/30 + 2*p**3\/45 + 15. Let x(i) = 0. What is i?\nAnswer: -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(2\/31))\/(o\/o**(-5\/7)))**(4\/21))**(27\/4) assuming o is positive.\nAnswer: o**(-1269\/1519)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3578*c**3 - 626*c**2 - 170296626*c + 1 wrt c?\nAnswer: 21468*c - 1252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 579676 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36047, -72096, -108145, -144194, -180243, -216292?\nAnswer: -252341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 99557628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*d*p*y - 2*d*y**2 + 47*d*y - 11314*d + 4*p*y - 78299*p - 4*y**2 wrt d?\nAnswer: 3*p*y - 2*y**2 + 47*y - 11314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18, -294, -704, -1248, -1926, -2738?\n\"Answer: -67*u**2 - 75*u + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -472990 - -472993. Suppose 0 = 2*i - 0*i + 16. Let z = -6 - i. Which is bigger: z or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*h + x, h = -5*x + 28 - 31. What is the highest common divisor of h and 637?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 859 is divided by 73.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -151, -3\/26 in descending order.\nAnswer: -3\/26, -0.4, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -6*p - 2, 23*r - 20*r - 4*p = -27 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -365282 + 560?\nAnswer: -364622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 529745173 to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 6*s - 39. Let q be p(4). What is the remainder when 60\/q + (-18)\/(42\/(-7)) is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 4 - (11 - (10 + 24))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20099 - -40076. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**(-16)\/(y**1*y*y**0*y) assuming y is positive.\nAnswer: y**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 9*b**2 - 97*b - 7. Let a(c) = -c**2 + 9*c + 1. Calculate -10*a(h) - p(h).\nAnswer: h**2 + 7*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 14*s = 5*o + 10, 0 = -7*s - 4*o - 41 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1236450?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.74 rounded to zero decimal places?\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 784 is divided by 118.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-46)\/(-10) - (-16)\/40. Suppose 18 = t*c - 2. Factor 125 + 5*b**2 + c*b + 7*b + 48*b - 9*b.\nAnswer: 5*(b + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 551*v - 35. Is t(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-8) + (-20)\/80.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 289545 and 1552.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (280\/24)\/((-2)\/(-6)). Differentiate -20 - 5*c + 43*c**3 - 50*c**3 - r wrt c.\nAnswer: -21*c**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -2\/5 (c) 6 (d) -631\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2572 - -1084. Let f = z + 20927\/14. Find the common denominator of (513\/30 - 0) + -6 and f.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 0*v**2 - v**2)*(2*v**2 - 4 + 4) + 29*v**2 + 28*v**2 + 3*v**4 - 61*v**2 - 2.\nAnswer: -v**4 - 4*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -18?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-18\/11)\/v))**(-13)*v*v\/v**(-1\/7)*v*v**(-5\/14)*v assuming v is positive.\nAnswer: v**(-6697\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1232 (base 13) in base 8?\nAnswer: -5020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1\/6, -0.13, 5 in increasing order.\nAnswer: -0.13, 0.1, 1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*w + 26 = 2*w, -3*r - 5*w = -36. Suppose r = 3*x - 5*q - 10, x = 4*q + 8. Suppose 84 = 3*n + x*n. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b - 0?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5466 divided by 3?\nAnswer: 1822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 112644*p**3 - 4.\nAnswer: -112644*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 13644 - 2012 = 71192. Is 26 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 1 - (-9 - (3 - 10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -31271?\nAnswer: 2\/31271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 - t**2 - t**2 + (-3*t - 4 + 4 + 0*t + 3*t - 4*t + (2 - 2 - 2*t)*(0 + 4 + 2))*(0*t + 0*t + 2*t))*(-5*t - t - 2*t).\nAnswer: 272*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 38996*0.412\nAnswer: 16066.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 5:03 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**5\/20 + n**4\/24 - 2*n**3\/3 - 4*n**2. Calculate the lowest common multiple of 13 and o(-2).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 17\/2*l**2 - 16*l + 8. Find the first derivative of u(t) wrt t.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 119034?\nAnswer: -1\/119034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4008257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 33.14175 and -0.5.\nAnswer: 32.64175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 397583?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxtxxtxtxxt. What is prob of sequence ttx?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 22*c - 93. What is the lowest common multiple of q(-13) and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwufffifzffftztffuff. Give prob of sequence uz.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3942401 litres in millilitres?\nAnswer: 394.2401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-56)*((-246)\/189 - (-18)\/21). Sort 4, -3, 5, o.\nAnswer: -3, o, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j. Let r(h) = -12*h**2 - 12*h + 12. Let o(m) = -1 - 5*m + 6 - 4 + 4*m. Let c(b) = 12*o(b) - r(b). Calculate s(c(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a5 (base 12) in base 9?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r - 196. Determine q(-40).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 h, and 1 b when three letters picked without replacement from hhhaanhrnb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q + 3873 = -19196. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p. Let g(b) = 228*b**2. What is g(k(s))?\nAnswer: 228*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -3455\/4, -1.8 in descending order.\nAnswer: 4, -1.8, -4, -3455\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (412 - 412 + 22*k)*(4*k**3 + k**3 - 4*k**3) to b*k**2 + f + i*k**4 + d*k**3 + g*k and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1492*a + 987*a + 217*a to v + z*a and give z.\nAnswer: 2696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 20?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*h**3 - 10234399*h**2 - 389358192*h wrt h?\nAnswer: 228*h - 20468798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 4*f - 4*t, -36*t + 39*t - 45 = 4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 11) + -241 + 268 + 24 + -78.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 119194885 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -b2 (base 13) to base 15\nAnswer: -9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 2. Let q be (-80)\/z*(-3 + 1). Let h = -49 + 54. What is the highest common divisor of q and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 3*d - 2*q - 55, d - 2*q = 21. Suppose 3*p = 1 + d. Calculate the greatest common divisor of 24 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442839 is divided by 9396?\nAnswer: 1227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1165493 to the power of 1\/2, to the nearest integer?\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l + 1. Suppose -d - 216 = -2*b, b - 325 = -2*b + 2*d. Suppose 17 = -5*u + b. What is the lowest common multiple of u and y(5)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3836769307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20887638?\nAnswer: 2, 3, 3481273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11285 + -11284.97. Suppose -2*p = -h, p = 2*h + 1 - 4. Which is the third smallest value? (a) h (b) s (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*6 + sqrt(13) - sqrt(13))**2 - (sqrt(208) + -1).\nAnswer: -4*sqrt(13) + 11701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*(-12)\/27)\/((-407)\/3663)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3 + 13*a**2 - 1.\nAnswer: 13*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6798 = -10*m + 242. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a millennium in centuries?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.25 + -2.45. Which is the biggest value? (a) 1\/4 (b) -26 (c) k (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**2*j**4 + 2*i**2*j + 6*i**2 - 21149*i*j**5 - i*j - 774 wrt j.\nAnswer: 24*i**2*j**2 - 422980*i*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 5*p**4\/12 - 16*p. Let n(j) be the third derivative of -10*j**2 + 0*j**4 - 1\/60*j**5 + 0 + 0*j + 0*j**3. What is n(d(x))?\nAnswer: -25*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-1176))\/((-1)\/(-7))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3953.\nAnswer: 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 7.0944 and -0.03793.\nAnswer: 7.05647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8*3\/6)\/1. Suppose 4*h = -b*o, -4*o = 11 - 3. Let p(a) = a**3 - a**2 - a + 1. List the prime factors of p(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**1*v)\/v*v\/(v\/(v*v\/(v**4\/v))))\/(((v*v**(3\/2))\/v)\/(v**(1\/5)\/v)))\/((v*v\/(v**(2\/5)*v*v))**(2\/105)\/(v**(-1)*v**4)) assuming v is positive.\nAnswer: v**(743\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2178 times -0.0849?\nAnswer: 0.44299122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15589 and 187.\nAnswer: 171479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**2 + 2*c - 2*c**4 - 21*c**3 + 4*c**4 + 19*c**3 = 0 for c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8292.87 millilitres in litres?\nAnswer: 8.29287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15117252 and 1892?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43063369015 plus -42.6?\nAnswer: 43063368972.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -98 + 0*n + 1\/5*n**3 + 21\/10*n**2. Suppose a(s) = 0. What is s?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.245 minus 0.1?\nAnswer: 1.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*p - p = -23, 5*q - 4*p = -52. Let d = -8 - q. Suppose 3*b = i + i - 25, 4*i + 3*b - 59 = d. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 194? (a) -0.3 (b) 184 (c) -15\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6274799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 y, 1 g, and 1 p when four letters picked without replacement from {y: 1, p: 1, l: 1, g: 1, r: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 - -29. Suppose -4*o = -9*o - 110. Let i = f - o. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 3679518?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2842588232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.22549 weeks to milliseconds.\nAnswer: 8603576352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/3)\/((-10)\/15). Which is the nearest to 2? (a) 0 (b) w (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 2*r = -44, 33 + 1 = -7*r + 20 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 19. Let w be (-18)\/(-15) - (-3)\/(-15). Put k, -4, w in decreasing order.\nAnswer: w, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 13 = -1. Suppose 13 - 45 = -f*v. Suppose -v = -2*z - c, -z + 4*c - 20 = -6*z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2048 + -1?\nAnswer: -2049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 23 = -4*q, -12 = -3*y + 3*q - 30 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63 + 63.047. Let y = d + 8.753. Let a = -4.8 + y. What is the second biggest value in 3\/2, -5, a?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 6 = i, 3*b - 4*i + 16 + 1 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 30, 51, 80?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from hpjpggnpppghpnjphzn.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -444 - -452. Sort -0.2, n, -1\/3.\nAnswer: -1\/3, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 - 12*o**2 + 14*o + 2. Let m be g(-7). Solve -2*r = 4*s - 8, 2*s - 11 = m*r + 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007259888258 to 6 dps.\nAnswer: 0.000726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 3*j**2 + 1 + 2513*j**3 - 2511*j**3 + 5*j - j**4 + 6*j - 19*j in the form k*j**2 + f*j**3 + r*j + h*j**4 + w and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1643740, -1643725, -1643708, -1643689?\nAnswer: -1643668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63411?\nAnswer: 3, 23, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153 = 5*h - v + 139, 2*h - 5*v - 70 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(0 - (-1)\/(-33)). Let i = 5 - 3. Let m be 8 - ((1 - 1) + i). Calculate the greatest common factor of z and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 1:23 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5415 + 5025 = -130*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g - g + g)*(-8*g**2 + 10*g**2 - 78*g + 144*g) in the form k*g**3 + u*g + x + w*g**2 and give w.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 151 + -30. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d**4\/6 + 13274*d**3 - 427423*d**2\/2 + 2594920*d\/3 - 50144 = 0. What is d?\nAnswer: -4701, 1\/17, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/171*162*(-1)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*d - 12*d + 42*d = -32*d + 2112 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9706 to 2 decimal places.\nAnswer: 0.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -4*j + 16. Let f = j - -7. Solve -20 = f*a - 5*t, 2*t + 13 = a - 4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, -5, 404925 in ascending order.\nAnswer: -5, 4\/9, 404925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79.34 - -1.34. Let r = 2720309286.00000043 + -2720309364. Let f = x - r. Round f to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3669*q = 76435 - 41382 + 133757 + 84351 for q.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 537891963.\nAnswer: 3, 7, 101, 36229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + -2. Let d = r - -14. Let z(m) = -m - 1. Let v be z(-3). What is the highest common divisor of d and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4008 times 22\nAnswer: 88176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -6*p + 6. Let q(v) = 5*v - 6. Let a(y) = -4*l(y) - 5*q(y). List the prime factors of a(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -164 - -272. Let g = p + -108. Suppose 5*s - 122 - 58 = g. Calculate the remainder when s is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 1280*z - 4876. Determine p(4).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*z - 78 = 138 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24552 = 2055*s + 1014*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5017 and -0.057.\nAnswer: -285.969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 85.473515 to the nearest integer.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, g: 9}. What is prob of sequence jjg?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 + 4*l**2 - 19*l - 68. Determine s(-6).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -809 - -815. Let p be 3\/z*0\/(60\/10). Suppose -44\/3*n**2 - 8\/3*n - 8*n**4 - 68\/3*n**3 + p = 0. What is n?\nAnswer: -2, -1\/2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000430462534 to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -9. Suppose 2 = -4*y - 3*h + 3, -5*h - 33 = -b*y. Suppose -y*x + 105 = -131. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + b**3 + (18*b**3 + 9*b**3 - 9*b**3)*(41 + 28 + 38) + 0*b**3 + 2*b**3 - b**3 as u + w*b**3 + z*b + f*b**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(152) + -1*sqrt(152))*-3)\/(sqrt(64)\/(sqrt(8) - sqrt(128))))**2 - (-1 + sqrt(931) + 0 + sqrt(19) + 4).\nAnswer: -8*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -7.68 (c) -0.2 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.089 + 4.861. Let f = m - -0.05. Let y = -740.2 + 740. Which is the closest to 0.08? (a) f (b) 3\/4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -4906.96?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 7*b - 12*b + 3*t, -5*b + 2*t = 14 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c + 6. Let m(j) = 16*j + 20. Let t(u) = 12*m(u) - 39*q(u). Give t(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d + 13. Let f be o(10). Let m be -2 + f + (1 - 2). Solve -3*h + 4*n + 17 + 3 = m, 0 = 2*n + 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 4268484031?\nAnswer: 4268484034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - 1)*(-2)\/(-2). Suppose -r*o + f = o + 6, 3*f = -5*o - 2. Let l be (1\/3)\/(o\/(-15)). Solve -2*p + 3*p = -l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -8.8.\nAnswer: -3.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x + 0*x - 5*x - 4*x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-78)\/4)\/((-1)\/(-1)). Let j = 19 + f. Let p = -278\/3 - -92. Which is the biggest value? (a) j (b) 0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7287\/36385 + -2\/7277. Let c = 298\/3 + -98. Let b = -25\/8 - -19\/8. What is the smallest value in c, b, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*k**3*n - k**2*n + 2*k*n - 36*k - 21392*n wrt k.\nAnswer: 9*k**2*n - 2*k*n + 2*n - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-10))\/((-4)\/(-20)). Let i be 2\/4 + 3\/y. Let b = 3 - i. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.021 - -0.521. What is the third biggest value in -0.1, z, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1243 rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eleven tenths of a millisecond?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 308 - -88. Let m = -400 + t. What is the closest to 2\/9 in -0.019, -1, m?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1031420 - 220?\nAnswer: -1032140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1807.41625 to 0 decimal places.\nAnswer: -1807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**3 + 28*h**2 + 7*h + 19. List the prime factors of l(-13).\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -604, -607, -610, -613, -616, -619?\n\"Answer: -3*t - 601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1804513 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 3*v**5\/20 - v**4\/6 - v**3\/3 - v**2 + 8*v + 1. Suppose 15 = -5*b, 4*w + b - 6 = -b. What is the units digit of t(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -106\/9*t - 100\/9*t**2 - 8\/3 + 16\/9*t**3 + 28\/9*t**4 - 2\/3*t**5 = 0.\nAnswer: -1, -1\/3, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*a + 6*a + 3*n, -a = -n - 6. Calculate the highest common divisor of 4 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1190 + 595 + 595 - 8*d**2.\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 0*z**3 - 1\/12*z**4 + 0*z - 15*z**2 + 1. Let x(v) = -2*v. Let q(u) = -u. Let b(j) = 6*q(j) - 4*x(j). Calculate i(b(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhl when three letters picked without replacement from {m: 5, l: 7, h: 5, g: 1}?\nAnswer: 175\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**3 - i**2 - 2*i + 3. Suppose 0 = 6*a - 3*a + 3. Let z = a - -3. What are the prime factors of q(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2372*j + 2328*j - 3521*j)*(-j**2 + j**2 + 3*j**3 + 2*j**3 - 2*j**3 + j**3 + 4*j - 4*j - 2*j**3 + 3*j - 3*j + j**3 + (4*j + j**2 - 4*j)*(3*j - 2*j + j)).\nAnswer: 5895*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 2*c**2 + 12*c - 3. Let o be k(5). Let p be 1\/(o\/81 + 493\/2178). Calculate the highest common divisor of 22 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vtvv when four letters picked without replacement from vmvuvvtvmuuvvvvvtvvm?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s - 8. Let l(c) be the second derivative of c**3\/6 + 7*c**2\/2 - 4*c + 102. Give 5*l(j) + 6*y(j).\nAnswer: -j - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -940.6000001 - -940.6. What is d rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 5*z**2 + 3*z - 3. Let y be c(-4). Does 9 divide 17 - (y + 3) - 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -663 + 213. Round d to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -19 + n + 3*n + 9. Let j be y(4). Let k(m) = m - 12. Let o be k(j). Let b(g) = -g**2 - 8*g - 3. Calculate b(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-167)\/1336)\/((-17)\/(-7208))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2377521 divided by -792507\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 185*g**2 - 1524*g - 3822. Give r(193).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2994419469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*((-6 - -8) + (3\/(-4) - 1)). Which is smaller: -2\/6809 or c?\nAnswer: -2\/6809","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23.92 - 10.9115. Let j = 13 - h. Round j to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.08 - 0.08. Let p = d + -3. Let j = -18 + 163\/9. What is the third biggest value in p, j, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -5. Let d = -1.53 + 1.6. Let z = d + 0.33. What is the nearest to j in z, -2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in years?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4495583811 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 22032 - -944\nAnswer: 22976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**2 + 3*l**2 - 2*l**2 - 4*l**2 - 4*l**2 + 7*l**2 - 8 + l**2 + 2*l**2 - 5*l**2 + (-l + 2*l - 2*l)*(-l + 0*l + 3*l) + 0 + 0 - l**2.\nAnswer: -5*l**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.67 * -0.0899\nAnswer: 0.060233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 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: Let l = 63 - 193\/3. Let q = 0.1 - 5.1. What is the nearest to q in 5, l, -1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2005 divided by -401\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5 - 2*k + 0 - 3 + 0 + 3*k**2. Let g(a) = 10*a**2 - 7*a + 7. Let s be 35\/21*(-24)\/20. Calculate s*g(y) + 7*h(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1524, -2685, -3848, -5013, -6180, -7349, -8520?\n\"Answer: -b**2 - 1158*b - 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k**3 - 24*k**2 + 16. Let h(d) = -9*d**3 + 48*d**2 - 30. Calculate -9*c(g) - 5*h(g).\nAnswer: -9*g**3 - 24*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 45\/3 + -3 - 4. Suppose -3*g + p*g + 4*d - 346 = 0, -d = g - 69. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -13*j. Let y(p) = -2*p. Let f(s) = a(s) - 6*y(s). Let r(z) = 18*z**2. Determine r(f(c)).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 354\/15 - 1 - (-1361 - -1381).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -14, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 6:08 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277 = 41*y - 31 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.1 + 4.1. Let k be 10\/(-25) + 116\/(-10). Let h be 4\/k*(-2)\/2. Put h, 3, n in increasing order.\nAnswer: n, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 1, -36, -4, 2, -2 in decreasing order.\nAnswer: 2, 1, -2, -4, -17, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 273.0601 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -1976, 119, -5, -0.1 in decreasing order.\nAnswer: 119, -0.1, -0.7, -5, -1976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 147915806 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o**3 + 9*o**3 - 9*o**3.\nAnswer: 21*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 9*a - a + 5*a)*(69*a - 69*a - 8*a**3).\nAnswer: 40*a**4 + 24*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tkse when four letters picked without replacement from tskste?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**2 - 12541*a - 325390 = 0.\nAnswer: -12515, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**3 - 4*s**2 + 4*s**2 + (-8*s - 26 + 26)*(16*s**2 - s**2 - 8*s**2) to c + j*s**3 + x*s**2 + b*s and give j.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 121.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 12801475.\nAnswer: 1\/12801475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 12.1. What is the nearest to z in -1\/2, -0.1, 1\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 11073*a. Let r(g) = -45*g. Give r(q(p)).\nAnswer: -498285*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 15. Solve 0 = -f - x*f - 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*g + 100, -4*k + 188 = -2*g - 2*g. Let d be (6\/(-9))\/(6\/g). Suppose 390 - 2485 = -d*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1135, -2010, -2885, -3760?\n\"Answer: -875*f - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 1 = -o. Let g = o + 4. Suppose -g*t + 15 = -8*t. Which is the second smallest value? (a) -4 (b) -2\/7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-3))\/((-8)\/24). Let o = -3 - n. Solve o*i - 9 = -5*s - 34, 2*i = -3*s - 14 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*f - m - 11, 2*m + 25 = 5*f. Solve 351 - 358 = f*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 11 = 3. Solve 4*k = -s - 3 + y, -12 = -2*k + 2*s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2139 is divided by 1041.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*n**4 + 150221*n**3 + 2882047*n**2 wrt n.\nAnswer: -96*n + 901326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/13 (b) -2\/13 (c) -314\/19 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -1) + (-4 - -8 - 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 334 - 355. Let d(c) = c**3 + 22*c**2 + 18*c - 35. Calculate the remainder when d(g) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 14 = s, 10*u - 2*s + 4 = 8*u. Let q(i) = -i - 5. Let d(h) = -4*h - 21. Let j(c) = -2*d(c) + 9*q(c). Give j(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1320 - 2?\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2643234*b**2 + 17*b - 108559918 wrt b?\nAnswer: -5286468*b + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + -50801?\nAnswer: -50794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + -171a02?\nAnswer: -1719d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -0.079221.\nAnswer: 5.079221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000030107 rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -6*p**3 + 8*p**2 - 10*p - 38. Give h(4).\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**3 + 2 + 11*w**2 + 2 + 0*w + 3*w - 5 - 7*w**2. Let u(j) = -3*j**3 - 5*j**2 - 4*j + 1. Give -4*i(g) - 3*u(g).\nAnswer: -3*g**3 - g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/40942811 and -169\/84.\nAnswer: 491313732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mumk when four letters picked without replacement from {p: 2, k: 3, m: 6, u: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j + 27. Let l be z(-6). Let s(y) = y. Let i be s(l). Let n(w) = w**2 + 7*w + 13. Let x be n(i). Let f(g) = 6*g**3 - g**2 + g. Give f(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1099877 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 2\/5, -604\/2709, -13?\nAnswer: -604\/2709","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9303500.6 - -0.772.\nAnswer: 9303501.372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -31\/2*u**2 + 0*u**3 - 2*u**4 - 1 - 6*u. Find the first derivative of t(g) wrt g.\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*m + 162 = 694 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -13 (b) -28 (c) 3\/4 (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.74 and -454?\nAnswer: -3513.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*(-3)\/(-18)*16\/5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 - 2d77a?\nAnswer: -2d78a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 5*j - 123. Let p = j + 41. Suppose -5*u + p*u = -70. Solve -5*k = 4 - u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**3 - 3*q**2 - 3*q. Let m be v(-2). Calculate the highest common divisor of 90 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 77324352 + 5?\nAnswer: 77324357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(1\/6)*h**3*h*(h\/(h**(-2\/11)*h)*h)\/h*h*h**(1\/21) assuming h is positive.\nAnswer: h**(2801\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.248 + 213.752. Let f = h + -220.03. Let r = -0.53 - f. What is r rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14630220 and 931014.\nAnswer: 102411540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 228, 341, 2.\nAnswer: 2, 228, 341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.89 - -1.89. Which is the second biggest value? (a) -0.3 (b) g (c) -0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, u: 9, i: 3, r: 2, a: 1}. Give prob of sequence uab.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 227753 - 153689. What are the prime factors of y?\nAnswer: 2, 3, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 923 is divided by 36?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38180 is divided by 429?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 527\/2 (c) 0.3 (d) 5\/4 (e) 3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 49, 24, -3, 4, -2?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8674 - 23?\nAnswer: 8651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a microgram in nanograms?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 213244341 (base 6) in base 16?\nAnswer: 39ff25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 54*f - 44. What is the units digit of n(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 6:34 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.3 and 0.1?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, t: 1, u: 4}. What is prob of picking 4 m?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**4\/12 + 17*j**3\/2 + 339*j**2\/2 + 231*j. Give h(-43).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 48\/30*(-2)\/(-24). Let u = 4 + -42\/11. Sort 5, u, f in ascending order.\nAnswer: f, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-490068)\/(-72)*(48 - 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -3*w + 4*a + 77, -5*w = -5*a - 135. What is the highest common factor of w and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 1. Let g be q(-1). Suppose 5*k - 12 - 3 = g. Suppose -2*i - 6*j + 2*j = -152, -4*i + 271 = -k*j. Round i to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 8. Let d = 6.2 + n. Let z = 0.4 - d. Which is the nearest to z? (a) -0.2 (b) 0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p - 2*p + 2*p)*(-2 + 2 - 1005*p + 1005*p - 18374*p**2) as j*p + b*p**2 + z*p**3 + o and give z.\nAnswer: 18374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/((28\/8)\/7). Suppose -5*s = -b + 3. Let f(l) = -l**2 + 8*l - 4. Determine f(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -3*u + 64. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 1514611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5108511 and 2.\nAnswer: -5108509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + 6 - -2*2\/4. Suppose -452 = -4*c + 2*g, -3*g = d - 5. What is the greatest common factor of 448 and c?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/(21\/(-30)) - 5. Let r(x) = 4 + 7*x - 4. Let b(g) = 3985 + 3*g - 3985. Determine o*b(c) + 6*r(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -243816 divided by -4.\nAnswer: 60954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 3*z - 4. Let f(p) = 8*p + 38. Let v(u) = -u + 2. Let o(d) = 2*f(d) + 20*v(d). Let g be o(28). Determine c(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1850 and 1369.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1684426.6 to the nearest 10000.\nAnswer: -1680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 6:09 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, w: 16}. Give prob of sequence dw.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.13 + 0.22. Let k = o - 6.09. Let b = 5.94 + k. Round b to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1590.77 meters to centimeters.\nAnswer: 159077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 35*h + 126. List the prime factors of g(-26).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39511702*f + 7*f**3 + 19755852*f + 19755850*f.\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -27*y - 5. Let b(f) = 41*f + 8. Suppose -2*k - h = 11, 0 = -23*k + 25*k - h + 21. Give k*d(w) - 5*b(w).\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.6 + 2.6. Put 0.5, 0.4, g in decreasing order.\nAnswer: 0.5, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzlllzzzzlzzzzzzz. What is prob of sequence lz?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 68499252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 261847 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**4\/8 + 8*w**2. Let b(f) = -22*f. Give b(r(i)).\nAnswer: -66*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6*r = 7*r - 29461, r + 88387 = 3*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b**3 + 8*b**2. Let l(a) = 11*a**3 + 15*a**2. Let r(t) = -2*l(t) + 5*w(t). What is the third derivative of r(q) wrt q?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*w + 57*w = -609. Let f(l) = l**3 - 13*l**2 + 42*l + 40. Let t be f(w). Round t to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02939 in 3, -9, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 - 220)*(-2)\/4. Let z(c) = -485*c + 3407. Let y be z(7). Calculate the greatest common factor of m and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p + 6 + 6*p - 12*p.\nAnswer: -p + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*z + 3 - 17 + 12 + 102*z.\nAnswer: -19*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140)\/(-280)*28\/(-10).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 1476544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 24\/(-30))*-5. Solve -20 = -2*o + 4*f, 2*o + 2*o = f + a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100110011010 (base 2) in base 16?\nAnswer: -199a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 3*t**2 + 1. Suppose -3*o = 3 + 15. Let g = -36 - -38. Let f(i) = 4 + 15*i**g - 16*i**2 - 4. Calculate o*f(l) + 2*v(l).\nAnswer: 2*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218423683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48356471?\nAnswer: 157, 308003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.00993942 or 1\/7?\nAnswer: -0.00993942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*(5 + 2*sqrt(13) - sqrt(13)).\nAnswer: -14 - 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h**2 + 4*h - 4. Suppose -33*g + 12*g + 11*g = 350. Let i(l) = -28*l**2 + 35*l - 35. Give g*a(x) + 4*i(x).\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329*o + 339*o - 4050 = 0. Let g = o + -335. Suppose 2*p - 53 = -5*z, -2*z + 2*p + 10 = -0*z. What is the least common multiple of g and z?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 60 = -48. Suppose h = -1 - 3. Which is the third smallest value? (a) 3 (b) y (c) h (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-16))\/1*-1*30\/5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 - 3 = 2*b. Let k = -82 - b. List the prime factors of -1 - (7*(k - 1) + -4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001148 rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*q + 30. Suppose g + g + 12 = 0. Calculate the remainder when 226\/q - g\/15 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**3 - 5*p**3 - 11*p**3.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 0.1. Suppose 3*m = m + 6. Let n be (-6)\/(-9)*m\/8. Is j at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 12158.178 months?\nAnswer: 1.0131815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 236 divided by 5\nAnswer: 236\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**0\/s*s)**(5\/2))**(23\/5))**(8\/5) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 385, 787, 1189?\n\"Answer: 402*u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3\/8))**(1\/15)\/(((i\/((i*(i**(2\/3)\/i)\/i)\/i))\/i*i)\/i**(-3\/7)))**(2\/5) assuming i is positive.\nAnswer: i**(-2341\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.256 - 0.056. What is the third biggest value in 2, 0.3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7221 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7358519 and 9460953.\nAnswer: 66226671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*d - b, -4*d - 5*b = -1. Let i be 11354*d*(-2)\/4. Suppose -i - 4423 = -t. Round t to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10616 + -4329. Let j = 37613\/6 - v. Calculate the common denominator of j and (-247)\/(-66) + (-8)\/(-12).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.2 * -86569\nAnswer: -1142710.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/15 - 990764*y**2\/15 - 1981546*y\/5 - 2972328\/5.\nAnswer: 2*(y - 495388)*(y + 3)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 175, 198, 229, 268, 315?\n\"Answer: 4*w**2 + 11*w + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksukuutqqtqpkqtuk. Give prob of picking 1 p and 1 u.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104849 is divided by 36?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s + s + 0*s)*(-1 + 3 - 4) + (-s + 10*s + 7*s)*(4 - 3 + 1) + 2 - 2*s - 2 as u*s + h and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 29*y - 11. Let j(r) = -10*r + 4. Let p(f) = 17*j(f) + 6*v(f). Find the first derivative of p(t) wrt t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - r = 299, -12*n + 17*n + 305 = 5*r. Suppose 2*l = l. Calculate the lowest common multiple of ((-28)\/(-35))\/(l - 2\/n) and 14.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 12*y + 7. Let n be p(6). Calculate the remainder when 56 is divided by n\/2*(5 + -7).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - -2) + -2 - 36. Let r = d + 74. Suppose p = -4*a + 13, -73 = 2*p - 5*p + 5*a. What is the remainder when r is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 137022626 and -85.\nAnswer: 137022541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -2*k - 5, -45 = 2*k + 4*r - 67 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*(4 + (5 + -2 + sqrt(2057) - ((sqrt(2057) - ((sqrt(2057) - (sqrt(2057)*-4)**2) + sqrt(2057)) - sqrt(2057)) + -2 - sqrt(2057)))).\nAnswer: -131607 + 176*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 7\/12*k**4 - 249*k**2 + 0*k - 21\/40*k**6 + 0 + 0*k**3 - 1\/12*k**5. What is the third derivative of g(o) wrt o?\nAnswer: -378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - f)*(-2 + 2*f + 2) + (-2*f + 4 - 4)*(3 + 4*f - 3).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.41 - -0.49. Let v = 11 + -10.68. Let b = j + v. What is the closest to 2 in -0.1, b, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**6\/60 - 13*t**5\/60 + 5*t**4\/24 - 11*t**3\/6 + 79*t**2 - 8*t. Calculate b(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 12:04 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16184 + -9564. Is 60 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30098 and 76?\nAnswer: 1143724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*u = -58604 + 482988. Calculate the highest common divisor of 19 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 - 0. Let d = -118 + 58. Let l = j - d. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -140. Let o = j + 127. Sort o, 3, -1, -3 in ascending order.\nAnswer: o, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121 divided by 94884.\nAnswer: 121\/94884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 - 175\/4. Let z = -11 - 9. Let q = -19 - z. What is the third biggest value in p, q, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 5:50 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.040051413*-7\nAnswer: -0.280359891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 16*u**2 + 13*u - 34. Let j be r(-15). Let l(c) = -2*c + 21. Let k be l(7). Let m(d) = 5*d. Let x(n) = 3*n. Determine j*m(f) + k*x(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 21 = -0*k - 4*k, 3*k = -12. Let l = -0.3 + 1.4. Let d(s) = -s - 8. Let r be d(-6). Which is the smallest value? (a) l (b) r (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 3*a**2 + 1. Let b be m(-3). Solve 4*v + 7 = -b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2374.41 weeks in minutes?\nAnswer: 23934052.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 778*i - 766*i + 384. Which is smaller: i or -26?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 8*m**2 + 2*m - 1. Let k(o) = o**3 - 2*o**2 - 4*o + 4. Let f be k(3). Let r be c(f). Solve 0 = -2*j + 1 - r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - d + 28, -5*i + 2*i - 100 = d. Let u be 14\/8 + (-8)\/i. Let q = 0.8 - 0.3. Sort 0, q, u in descending order.\nAnswer: u, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5891 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c = -36*c. Let w(j) be the third derivative of 0*j + 0*j**4 + 0*j**5 + 1\/240*j**6 - 4*j**2 + 0*j**3 + 1\/420*j**7 + c. Factor w(g).\nAnswer: g**3*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 214851897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + 3\/((-6)\/(-2)). Suppose -4*p - z*g + 80 = 0, 1 = -p + g + 11. What is the remainder when 28 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*v - 43*v - 396. Calculate the greatest common factor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13378253*f - 2366*f**2 + 13378253*f + 2556*f**4 wrt f.\nAnswer: 61344*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(20)*2)\/(sqrt(40)\/(sqrt(256) - sqrt(4)) + sqrt(10)).\nAnswer: -7*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5774 = -w, -19*w + 2*k = -18*w - 5774. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 827 divided by 376\nAnswer: 827\/376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 20*c**2 + 24*c + 26. Is t(20) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 66.454.\nAnswer: -332.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2 + 6\/(-12). Let o be (d - 1) + 0 + 2. Let t(i) = o + i**2 + 0. Let y(h) = h. Give t(y(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 2 + 0)*(-158*m + 324*m - 660*m) as o*m + h and give o.\nAnswer: 2964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 1. Let g be i(5). Let n be g\/21*28\/4. Solve 2*o + 0 + n = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -842*n + 220 = -832*n. Calculate the remainder when 229 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-64) + 23\/56. Let n = 0.04 + -0.44. Which is the nearest to n? (a) j (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 22*z - 3)*(3*z**4 + 0*z**4 - z**4).\nAnswer: 44*z**5 - 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 2*a**2 + a**2 + 5*a - 5*a to v*a**2 + c*a + l and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -8*z**3 - 2*z**2 + 4*z + 5. Let n be h(-2). Let u = 102 + n. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/1173393 and 179\/105605370.\nAnswer: 105605370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66*m*u**6 - 12*m*u**2 - 4*u**6 - 21*u**3 + 2*u + 2326 wrt u?\nAnswer: 7920*m*u**3 - 480*u**3 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 480299*y**2 - 14098949 wrt y?\nAnswer: 960598*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*z - 508 = -322*z. What is the least common multiple of 729 and z?\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 27 - 76*w**3 + 77*w**3 + 6 - 10*w. What is the tens digit of u(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*k - 409*k + 95*k.\nAnswer: -388*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 0. Let z = m + 7. Solve -b + 15 = 3*j + b, 5*b = 2*j - z for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = 6234 - 17147. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10259 - -13727. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 6. Let c(l) = 3*l - l**2 - 6*l - 2*l + h*l**2. Determine c(-8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.4, -0.05, 19.8?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 5:04 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20301749 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21020 (base 6) to base 12.\nAnswer: -1770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 2*t**2 + 4*t + 2. Let v be (-2 - -3)\/(5\/(-105) - (-34)\/(-119)). Calculate h(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 6\/25 (c) 1\/106 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*k + 52*k = 104*k + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s**2 - 2 + s + 2*s - 7*s**3 - s + 6*s**4 + 6*s**3 to the form z*s**3 + j*s**2 + c*s + b + o*s**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2282277207 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 306 divided by -6\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -48398.13 and 0.06503?\nAnswer: 48398.19503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: -342753164 divided by 4\nAnswer: -85688291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -87 times 3\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3, -4, -9, -18, -31, -48?\n\"Answer: -2*d**2 + 5*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45271, 182689, 412221, 733861, 1147603, 1653441, 2251369?\nAnswer: 2941381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - -40336101?\nAnswer: 40336113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2689*f + 118317. Let q be c(44). Let j be 38\/8 - 1\/(-4). Sort 3, j, q in decreasing order.\nAnswer: j, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + (0 - (-4 - 121)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22910 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -42*k + 54*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*o + 3500 = -192*o. Let n(h) = 130*h**2 + h + 1. Let u be n(2). Let c = o + u. What are the prime factors of c?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340113 (base 5) in base 16?\nAnswer: 2e84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l - 38. Let t be s(-14). Let y(j) be the first derivative of t - 9\/2*j**2 - 9*j - 1\/3*j**3. Let k(f) = f + 1. Determine -18*k(q) - 2*y(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(7 + -4))\/1. Suppose -36 = -4*w - m*b - b, 2*b = 5*w - 58. Suppose 9*c = w*c - 42. What is the remainder when c is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38603509?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 1. Determine w(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 343*r**3\/6 + 221*r**2\/2 + 31*r - 1. Let x(j) = 515*j + 332. Let a(w) = 8*h(w) - 5*x(w). Differentiate a(l) wrt l.\nAnswer: 169","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77 + -72. Find the second derivative of 28*o - r + 5 + 42*o**3 wrt o.\nAnswer: 252*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -23\/9 (b) 0.5 (c) 3 (d) -4\/3 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4\/5, 282\/5, 2\/391?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44*c + 98*c + 31*c)*(2 - 3 + 3) + (-c + 6*c - 4*c)*(0 - 5 + 2) in the form j*c + y and give j.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 445864 - 445864 - 130*y.\nAnswer: -130*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = t. Let x(y) = -4*y + 6. Let l be x(t). What is the common denominator of 178\/36 - (0\/(-6) - l) and 61\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -2\/1061?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/7 (b) 4 (c) 2\/13 (d) 3 (e) 16 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, f: 3}. Give prob of sequence vfvv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000466429 rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4*q + 2 = 2*j, j = 4*q - 7. Suppose -4*k = 0, 0 = -0*t + j*t - 4*k + 20. Let z = 10 + t. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9\/5 - 61\/45. Sort w, 4, 2\/11 in ascending order.\nAnswer: 2\/11, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -7\/3 (c) -3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*h = 130*h - 778095. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7375870 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 35116 = 4*w, 2*z - 3944 = 5*w - 47839. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*v - 330 - 148 + 1022 = 0 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 111 and 54982.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 6. What is the units digit of 29 - i - (-1 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222722652 divided by 74240884\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -104 + 162. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 4.8, -0.35, -64, 0.3.\nAnswer: -64, -0.35, -1\/6, 0.3, 4.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 19. Suppose 1 = -m*h + 4*r - 0, -4*h = 3*r - 24. What is the highest common divisor of 6 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -5\/113 in increasing order.\nAnswer: -4, -1, -5\/113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z + 5. Let l be h(-6). Let f be 4\/10 + (-22)\/30. Which is smaller: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1443337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 57.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 - 31 - 25 + 37*n - 36*n to the form x + f*n + i*n**2 and give x.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3200 and 240.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4 = a, -2*u + 3*a = -3 - 1. Let r be (3 + -8 - -6) + 22\/(-18). What is the nearest to u in r, 0.4, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1022 = 4*z - 6*z. Suppose z = 9*x - 2*x. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.08 + -2.2. Let u = -9.88 + r. Let k = u + 12. What is the biggest value in -1\/2, k, -2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2079*z + 744*z + 714*z + 621*z + 9 + 2*z**2.\nAnswer: 2*z**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, k: 3, y: 2, m: 1, d: 1, i: 3}. What is prob of sequence kym?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 37 = -z, 3*v - 6 = z - 48. Let j = z - 5. What is the remainder when j is divided by (-2 + -3)*16\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 - d + 1. Let l(r) = -8*r**2 + 14*r + 1. Give -b(w) + l(w).\nAnswer: -6*w**2 + 15*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4535105.\nAnswer: 5, 907021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3910390 != -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2025, -4051, -6087, -8139, -10213, -12315, -14451, -16627?\nAnswer: -18849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 1.172066\nAnswer: 1.572066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/9 - 8\/36. Let l be 4\/(-32)*4*r\/2. Which is the nearest to l? (a) -1\/3 (b) 0 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**4\/12 - s**2\/2 + 11*s. Let k(a) = 8*a**3 - 32*a**2 + 32. Let q = 564 + -596. What is q*w(v) - k(v)?\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47747\/17090 - -21\/3418. Factor y*a**2 + 18\/5 + 2\/5*a**3 - 34\/5*a.\nAnswer: 2*(a - 1)**2*(a + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2\/5 - 96*f - 976\/5.\nAnswer: 4*(f - 122)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**3*m*o*v**3 - h**3*m - h**3*o*v + 5*h**3 - 2*h**2*m*v**3 - h*m*o*v**3 + 2*h*m*v**3 + 2*h*o*v**2 - 11*o*v**3 wrt h?\nAnswer: 12*m*o*v**3 - 6*m - 6*o*v + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -118 - 9*v + 112 + 8*v. Calculate k(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 3*u - 2. Let n be b(4). Let i = -616 - -618. Let d = -16 - -30. Solve 3*q - n*z + 31 = -6*z, -i*q - z - d = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*5*sqrt(66) - sqrt(66))\/(sqrt(6) + (sqrt(150) - (sqrt(150) + (2*sqrt(150) - sqrt(150)))) - sqrt(6)).\nAnswer: 11*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46234 + -25971. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 90453106?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/3 - 138*m**3 - 7210*m**2 - 21218*m\/3.\nAnswer: -2*m*(m + 1)*(m + 103)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 1130 - g**2 + 2*g**2 - 1134. Let i(o) = -o**2 + 3. Let h(f) = -4*i(f) - 3*v(f). Let k(a) = -68*a**2. Calculate h(k(l)).\nAnswer: 4624*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/3*(-266)\/(-114)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -3) + 10 + (-19 - -14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(396)*-3 + (sqrt(396) - (sqrt(396) - (sqrt(396)*-1 + 5 - sqrt(396)))))**2*-6*4*5.\nAnswer: -1200000 + 72000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v. Let l be u(-1). Let z = l + 5. Suppose z*p = 5*q + 16 + 21, 4*p + 2*q = 58. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/20*(1 - -4). What is the hundreds digit of (-10899)\/42*2\/(-6)*d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2032 - 3182 + n**3 - 1631.\nAnswer: n**3 - 2781","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = -7*y + 130 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 2*z)*(-2*z**2 - 3*z**2 + 3*z**2) - 2 - 2*z**3 + 2)*(3 - 5 + 3)*(-2 - 3 + 2).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p + 53. Let l be b(-10). Suppose -h - 1018 - 2380 = -l*q, h = -5*q + 5650. List the prime factors of q.\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/7250 and 15\/17458?\nAnswer: 2182250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-4)*2*5. Suppose 5*d = -5*z - 5, 11 = 5*z - 4*z + 4*d. Is x not equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 - 49. Suppose -2*l + f*l + 2*w - 30 = 0, -4*l + 2*w = -170. Let o be (5\/l*4)\/((-1)\/(-8)). Solve -4*a = -4*c - 8*a - 20, c + o*a + 17 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/(-10))\/(1\/(-6)). Suppose 4*v - 5 = w*v. Solve 0*k + k - v = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 12 = -3*r + 2*j, 2*r = 4*j - 30. Let y be r*-3*(-1)\/9. Is 10\/y*(-9)\/6 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a1 + 69?\nAnswer: 15a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 times 55615?\nAnswer: -1112300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2577644 to the power of 1\/2, to the nearest integer?\nAnswer: 1606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25681.99950485 - 25682. What is d rounded to five dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -345 - -165. Let q be d\/(-42) - 4\/14. Suppose -q*v + 18 = 2*n + 2, 2*v = -2*n + 8. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 1 (b) 0.1 (c) -10 (d) -0.4 (e) 639\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2\/9, 4, -3, 20 in descending order.\nAnswer: 20, 4, -2\/9, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 490. Let t = -15141 + 15143. Suppose t*q = -0*q + s. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 1 = -10. Suppose -4*a - 18 = -2*o, 5*o = -u*a + 5*a + 61. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -bf7 (base 16) in base 13?\nAnswer: -1518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -27*g**3 - 18*g**2 + 21. Suppose 0 = 6*v + 6. Let t(f) = f**3 + f**2 - 1. Let y(q) = v*s(q) - 18*t(q). Find the first derivative of y(a) wrt a.\nAnswer: 27*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000238131 to 7 decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126217 and 4.\nAnswer: 504868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -43231, -71364, -99497, -127630, -155763?\n\"Answer: -28133*h - 15098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omdbh. Give prob of picking 1 h and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 2, -5, -240?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 9:18 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = k - 0. Suppose 0*j - 3*j + 3 = 0. Let o = k + j. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -884 = -4*p - 4*j, -5*j + 565 + 315 = 4*p. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/5)*a)\/((a\/a**(4\/7))\/a) assuming a is positive.\nAnswer: a**(76\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h**2 - 13*h - 64. Let c be d(-4). Suppose -6*g - c = -586. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 24. Let i = 3 + d. Let u(r) = -r + 3. Is 5 a factor of u(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -51, -2422, 2 in ascending order.\nAnswer: -2422, -51, -12, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**3 - 12*y**2 + 5*y**2 + 56 - y - 109 + 56 - 2*y**4 to the form q*y**2 + p*y**3 + n + t*y + m*y**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293481?\nAnswer: 3, 32609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 - -466715598.\nAnswer: 466715633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.046 + -0.046. Let v be (2\/9)\/((-8)\/(-6)). Which is the third biggest value? (a) g (b) -5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14325*c**5 + 2*c**4 + c**3 - 148864*c wrt c.\nAnswer: -286500*c**3 + 24*c**2 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -7*n**5\/30 + 8*n**4\/3 + 3*n**3\/2 + 9*n**2 - 9. Find the second derivative of h(o) wrt o.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - -52) + 22 + -26\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)\/(sqrt(1452)*-1 - sqrt(1452)))\/(sqrt(144)\/(sqrt(24)\/sqrt(2))*-1).\nAnswer: sqrt(3)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -h - 98, -h = -5*o + h + 496. Is o a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.01 times 0.2\nAnswer: 0.802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 75944.89nm in micrometers?\nAnswer: 75.94489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59964887?\nAnswer: 23, 2607169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 + 1.4. Which is the biggest value? (a) -5 (b) i (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*7\/(-14)*-1930.\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 7:59 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8942.343 litres to millilitres.\nAnswer: 8942343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -4*n - 1. Let y = 111 - 169. Let w = y + 107. Calculate the highest common factor of w and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**6\/120 - l**5\/10 - l**4\/2 + 31*l**3\/6 - 3*l**2 - 21*l - 3. Calculate q(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 3*l + 130. Let m be s(0). Let j = m - 127. Solve -j - 17 = -5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -79*v**5\/10 + v**4\/24 + 22*v**3\/3 - 5*v**2 - 16. What is the second derivative of q(i) wrt i?\nAnswer: -948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 82322 and 36.1229854.\nAnswer: 82358.1229854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/35*-5*4\/(108\/9)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 11:13 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(144\/(-1506)) + (-4)\/(-3). Let b = -72 + g. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k + 15. Let t be l(5). Suppose -945 = -t*b + 5*y, 5*b + 5*y = 17 + 898. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-156)\/6*93\/(-1209))\/((-2)\/31)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42560 and 5117056?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -47 and -43 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 4712 divide 311212228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 14 = 4. Let b = 257 - 257. Suppose b = -21*k + 18*k + 9, k = 2*p - 21. Solve -q + o*n - p = -n, 2*n = q + 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (14 - (18 - 12)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/39 (b) 5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83282 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*h - 1202 + 302. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 3*m - 9*m + 13.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 65 = 5*n, 5*n + 2*v = 8*n - 20. Solve -5*t - 3*z - 8 = -1, -4*t = -2*z + n for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-165)\/(-15) + -17 - (-1 + (-188)\/36).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/7 - 6795\/2100 and -43\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/13 or 206\/11?\nAnswer: 206\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -31 - ((3 - 4) + -3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3275*a + 16381. What is f(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -245383416517.8 take away -0.05?\nAnswer: -245383416517.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 87 or 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*f = 0. Suppose -3*d - 6*d + 18 = f. Solve d*u - 3*v - 7 = 0, 5*u + v - 24 = 2*v for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82 - -109. Suppose -2*i - h*i = -232. Let q(f) = -21*f - 2. Let v be q(-2). Calculate the highest common factor of i and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (79\/(-4))\/(1\/(-4)). Let d = o + -73. Let y be (8\/d)\/((-7)\/(-21)). Solve y*x + 7 = 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 4*w - 3*w + 3*w = 28, -4*w + 16 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*s**3 - 44312*s**2 + 22153*s - 2769.\nAnswer: (s - 2769)*(4*s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9122 - 9121. Let h(d) = 2*d**2 - 2*d - 2. Let w(y) = y + 1. Calculate o*h(r) + 2*w(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -2\/9, -4, 20\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 332 + -330. Solve -l*b + b - j - 5 = 0, 2*b + 10 = 2*j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l + 1053 = 23*l. Let f(m) = 56*m - l*m + 62*m. Let z(k) = k + 7. What is z(f(i))?\nAnswer: i + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 31*m - 15\/2*m**2 + 0 + 10\/3*m**3 - 5\/12*m**4. What is o in d(o) = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72056 is divided by 17828?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1618270298?\nAnswer: 2, 809135149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/31250 and 63\/15625?\nAnswer: 31250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 17139169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m**2 + 17*m + 3. Is c(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 15 = 2*d. Suppose 2*u - 220 = -d*u. Let q = 70 - u. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 divided by -48?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -451 + 456. What is the closest to -10\/9 in -2, -4, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, z: 2, p: 1}. What is prob of sequence zpy?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + (sqrt(44)\/(sqrt(8)\/sqrt(2)) - (sqrt(11) + sqrt(176) + 2)).\nAnswer: -4*sqrt(11) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/(-288)*-3 - ((-43890)\/(-504) - 87)?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -583378, 0.07, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20684617535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-3))\/(-4 + 1240\/312). Suppose -14 = -i - 2. Let l = i - b. Which is greater: l or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -29325, -234131, -790153, -1872999, -3658277, -6321595, -10038561, -14984783?\n\"Answer: -29268*k**3 + 70*k - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 5:44 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 7) to base 4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19354 + -13431. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j + 6*j + 1410188 - 1410188 - 20*j.\nAnswer: -30*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*t + 3*t + 3*t)*(-1 + 1 - t) + (0 + 0 + 2*t)*(-1 + 2*t + 1) as b + i*t + v*t**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 265408 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2*r - 4, x - 5*r - 5 = 5. What is the first derivative of -u**2 + 3 - 5*u**2 + x + 3 wrt u?\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*((q*q**1)\/q)\/q)\/q**(-19))\/(q**(1\/4)*q)**14 assuming q is positive.\nAnswer: q**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1232*o**2 + 5 + 0*o**3 - 1231*o**2 + o**3 to the form r*o**3 + t*o**2 + i + z*o and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11190 divided by -15\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 9:08 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7397267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 157*j**4*p*x - 6*j**4 + 20*j**3*x**2 + j**2*p*x**2 - 4*j**2*p*x - 8*j*p*x**2 + 37*j*p + x**2 wrt j.\nAnswer: 3768*j*p*x - 144*j + 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*d**2 + 17*d**4 + 137*d**4 - 38*d**2 + (d**3 - 2*d**3 + 2*d**3)*(0 + 0 + 2*d) + 0*d + 2*d**4 + 0*d to i*d**2 + w + y*d**4 + x*d + a*d**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirty-three fifths of a millennium?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in 2, 1\/8, 0.2248?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -196bc?\nAnswer: 196c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 12 = 0, -9*l - 6*p + 10*p = -142 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.00827 - -0.006. Round u to 4 dps.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 64, 144, 278, 484, 780, 1184?\nAnswer: 1714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/79, 6\/17, -0.2, 1.544 in descending order.\nAnswer: 1.544, 6\/17, 2\/79, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(-5)\/35 + 22. Let t(r) = -22*r**2 - l*r**2 - 4*r**2 + 8*r**2. Let j(q) = -q. Determine t(j(w)).\nAnswer: -40*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10833294*g**3 + 17738417*g?\nAnswer: -64999764*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -799, -40, -2\/87?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11.7 times 59.74\nAnswer: -698.958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 333 - 6267*m**2 - 68 + m - 103 + 581 + 15 wrt m?\nAnswer: -12534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320750733 is divided by 824552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1376*x - 1030 = 1373*x + 824. What is the remainder when 1865 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nenieikkeeeei. What is prob of picking 1 k and 1 n?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12630012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1701017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*c**5\/3 + 23366*c**4\/3 + 36896*c**3\/3 + 15352*c**2\/3 + 640*c = 0. What is c?\nAnswer: -1, -2\/7, 0, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1242163620?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -1 + 1381*l**2 + 1384*l**2 + 1 + 2*l - 2770*l**2. Suppose 31 = 3*j - q - 5, 2*q + 17 = j. Let o(b) = 26*b**2 - 11*b. Calculate j*s(r) + 2*o(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/6 - 373*b**3\/3 - 1382*b**2 - 13235*b\/3 - 18925\/6.\nAnswer: (b - 757)*(b + 1)*(b + 5)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62893 is divided by 509?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -135*m**5 - m**4 - 6*m**2 + 12*m wrt m.\nAnswer: -8100*m**2 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33.4 + 2.4. Let b = l + 36. Let w = -1.1 + 1.19. Put w, 0.2, b in increasing order.\nAnswer: w, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -3. Let s = n + 4. Suppose -3*h + 30 = t, s = -2*h + 3*h - 3*t. What is h rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-864)\/(-9216))\/((4*(-4)\/(-8))\/(-4)).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, k: 1, y: 3, o: 1, v: 2, h: 3}. Give prob of picking 1 v, 1 h, and 1 x.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q + 45. Let z be g(-10). Suppose 0 = o - 4*y - 23, -2*o + z*y - 3*y = -28. Let c be (-3)\/4 + (-705)\/(-60). Is c bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.464 + 0.39.\nAnswer: -1.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 15 = 0, x - 30 = -5*p + 40. Let l = 7505 + -7499. Let c(j) = -l*j**2 - 3*j**3 + 4*j**3 + 1 + 97*j - x*j. What is c(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125058 by 20843.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71339163 - 71339228.999934. Let s = 66 + n. Round s to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256702863 is divided by 2596?\nAnswer: 2595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1009803 divided by 2181\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1806639?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, 3093, 2, -0.4, -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 12 = 27*y - 30*y, -4*s - 4*y + 32 = 0. Factor 4*u - 2\/3*u**s + 14\/3.\nAnswer: -2*(u - 7)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 1111001010010?\nAnswer: 1111001001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16099*x**3 + 10*x**2 + 964587 wrt x.\nAnswer: 48297*x**2 + 20*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 126*s + 2725. Determine b(-28).\nAnswer: -803","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 424 + 427, 0 = -2*d - 5*t + 47. What is the greatest common divisor of d and 581?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1274*a - 1666 + 938*a + a**3 - 2*a**3 - 32*a**2 + 514 = 0 for a.\nAnswer: -12, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 475425384 to the power of 1\/3, to the nearest integer?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 2*i**2 - 5*i + 44. Let a be y(-9). Let f = 3 + a. What are the prime factors of f?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3b015b (base 15) to base 10\nAnswer: 2835311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -4\/288634105?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.7 (b) 6.47 (c) 0.034 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7634355 - -16039781012\/2101. Let s = 1\/191 - u. Which is the second biggest value? (a) 8 (b) 4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -505 - -2025\/4. Determine a, given that -1\/2*a + i*a**2 - 1\/2*a**3 + 0 = 0.\nAnswer: 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 6*s - 6. Let c be z(-9). Let w = -28 + c. Let m = -56 + 53. Put w, -4, m in increasing order.\nAnswer: w, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 + 25*h - 38*h - 122*h.\nAnswer: 4*h**2 - 135*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-4*(-48)\/(-320)*(-30)\/27). Which is the fifth smallest value? (a) -10 (b) -3 (c) u (d) -2\/19 (e) 286\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20354880 divided by 2?\nAnswer: -10177440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5 + (sqrt(300)*1*4 - (4 + 1 + sqrt(300) + sqrt(300))) + -4 + 0)**2.\nAnswer: 40*sqrt(3) + 1201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 14*q**2. Let t(l) be the second derivative of 6*l**4 + l**2\/2 + 1126*l. What is v(t(a))?\nAnswer: 72576*a**4 + 2016*a**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*v - 13*v = 15 + 69 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -578 - -822. Does 48 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/19 and -4\/99329.\nAnswer: 1887251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 8*w**2 - 3*w - 5. Let z be s(-8). Let r be 24\/10 - (-5)\/75*9. Let g be (-2 + 1)*(-8 - (-12)\/2). Solve 2*v = q - g, -3*q + z = r*v + q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/49 + 1700\/(-149940).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccnj when four letters picked without replacement from {n: 1, y: 3, i: 6, j: 6, c: 2}?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (10\/35*(-238)\/68 - -8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - -10. Let o = 35.0065 + c. What is o rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1895\/19 and -100 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7595532 and 612?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -7 + 12\/(72\/10950).\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3473.5 - -3411.5. Let d = -2 - -2.2. Is w at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*r = 17, 12 = 5*c + 3*r - 44. What is the remainder when 2235 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1745 divided by -2074?\nAnswer: -1745\/2074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*d + d + 24, 0 = -5*d + 15. Let y(f) = 3*f**2 - 7. Let u(a) = -3*a**2 + 8. Let r(i) = v*y(i) - 5*u(i). What is the derivative of r(o) wrt o?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**5 - 35*r**4 + 76*r**3 + 1556*r**2 + 4272*r + 3456 = 0.\nAnswer: -36, -3, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 6) to base 3\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-1\/4))\/w)**(-24))**(-4\/11) assuming w is positive.\nAnswer: w**(24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*r + 4*r + 195*r**2 - 9 - 10 + 20 wrt r.\nAnswer: 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-396)\/90)\/((-2)\/(-390)*-3). What is the highest common factor of 88 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3708657513?\nAnswer: 3, 11, 439, 85333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 266629 and 266629?\nAnswer: 266629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(17) - (sqrt(17) + sqrt(136)\/sqrt(8))) + -1).\nAnswer: -4*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 675 + -672. Solve 0 = 2*u - 4*x - 6 + 18, -o*x + 3 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -459, -1050, -1887, -2976, -4323, -5934, -7815?\nAnswer: -9972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9619120 and 69480?\nAnswer: 86572080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42 - 5*b - 285 + 103 to l*b + w and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 5*n**3 + 3*n + 0*n**2 + 3*n**2 + 3*n**2 - 2*n**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 277*c**3 - 3*c**2 + 9*c - 11. Let x be h(2). Suppose 0 = -5*o + x - 431. List the prime factors of o.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*p + 15*p + 4 - 5 - 16*p - 1 - 12*p - 16*p.\nAnswer: -5*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -713*x + 709*x + 28*p - 72 = 0, -5*x + 5*p = 30 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 3*y - 3. Suppose 5*k = -x + 15, 0 = 5*x + k - 5*k - 75. Suppose -h - 1 = -11. Let p = h - x. Calculate g(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17190.2659 and 2.\nAnswer: 34380.5318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -a**5\/20 + 5*a**4\/6 - 4*a**3\/3 + a**2\/2 - 4*a. Calculate the lowest common multiple of 9 and p(9).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 919834710 to the nearest integer?\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*r - 85*r + 2045 + 3565 = 51*r for r.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bjmqb. Give prob of sequence qmbj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, -934, 3\/52 in decreasing order.\nAnswer: 3\/52, 0.01, -934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 186.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**2 + 705915*o - 1411842 = 0. What is o?\nAnswer: -235307, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w + 0*w + 4*w + 3*w + 4*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -3. Put -0.5, 1\/7, 5, f in ascending order.\nAnswer: f, -0.5, 1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -2, -25, -3\/8, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -4*p**3\/3 + 1934*p**2 - 935089*p + 904231063\/6 = 0?\nAnswer: 967\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104 + 2 + -1 - (36635 - 36640).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 22941459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p**3 - p**2. Let c be m(1). Suppose -3*f - 5*g = -11, -3*f + f + c*g = -1. Suppose 4*i + 5*w - 39 = 0, f*i + i - 3*w - 63 = 0. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 l when four letters picked without replacement from rrlrl.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b**(-2\/17)\/b)\/b*b*b*b**4\/b*(b**5*b)\/b*b*b\/(b\/(b\/(b**(3\/5)*b))))\/(((b*b**(2\/9)\/b)\/b)\/b**(3\/2))**(-50) assuming b is positive.\nAnswer: b**(-80024\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.92836 + -871116.07164. Let g = b + 870997.0073. Let j = 126 + g. What is j rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 + 3 - 21*x + 21*x)*(12*x - x - 2*x).\nAnswer: 18*x**4 + 27*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4 + (6*(-1 + sqrt(72)) - (sqrt(72) + sqrt(72) + 0)*1) + -6*(sqrt(72) - (sqrt(72) - (2*sqrt(72) - sqrt(72)))*6))**2.\nAnswer: 120*sqrt(2) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/19 (b) 2\/5 (c) -55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57572634 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 188 * -1.37282.\nAnswer: -258.09016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4 + 11*q - 8*q + 4. Let x(m) = 3*m. Calculate 2*k(g) - 3*x(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1860 - 4*y + 1705 - 3*y + 5*y)*(3 - 3 + 4).\nAnswer: -8*y - 620","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6155*w - 6148*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11025 + -11007 + (1 - 22) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of s**4\/4 - 22*s**3\/3 - 19*s**2\/2 - 79*s - 3111. What is r(23)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r + 9. Let h(k) = -k + 4. Let z(p) = -13*h(p) + 6*v(p). Let y(g) = -g**3 - g + 2. Let n be y(2). Let o = -13 - n. Give z(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*x - 72 + 8 = 0. Put -43, x, 5 in decreasing order.\nAnswer: 5, x, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -119 + 1037. Does 34 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4513639 is divided by 57?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n + 14. Let v(y) = y**2 - 14*y + 15. Let p be v(12). Let h be m(p). Solve -h*z = 5*a - 15, -5*z + 7 = 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/2360 and -103\/86140?\nAnswer: 172280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*n - 25*n - 2 + 2 + 31*n to the form s + j*n and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -x**6\/75 + 31*x**5\/25 - 241*x**4\/30 - 1488*x**3 - 25920*x**2 + 4*x - 1780. Factor j(h).\nAnswer: -2*(h - 40)**2*(h + 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2255185482 to the power of 1\/2, to the nearest integer?\nAnswer: 47489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -n + 2, -8 = s - 5*s - 2*n. Let h be 2\/4 + (-21)\/(-6). Suppose 2*c + 0*c + 20 = -h*k, -5 = -2*c + k. Sort 4, s, c in ascending order.\nAnswer: c, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 1 + 4*s + 5\/2*s**2. Let d(g) = -g - 1. What is -4*d(k) - h(k)?\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3437 and 3.\nAnswer: 10311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-10))\/((-1)\/15*-3). Solve 2*s - j = -5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 18 = -2*u - 5*r, -3*r = 5*u - 37 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 31 - 38 = 3*q, 3*q = -3*n - 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/424431 and -23\/121266.\nAnswer: 848862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 7*r**2 - r - 5. Let w be -6 - (2 - 4 - -3). Let i be x(w). Calculate the highest common factor of 22 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 15. Let u be b - 13 - (0 + 2). What is the units digit of (u\/(-30))\/(2\/110)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 176*s + 1908.\nAnswer: -4*(s - 9)*(s + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10*(6*6\/(-9) - -1). Do z and 32 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + 7*z + (2 - 1 - 4)*(-3*z + 8*z - z) to f + r*z and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -1 + 5. Let y = -46 - -69. Calculate the lowest common multiple of y and v.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -175821 (base 14) to base 10\nAnswer: -822053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155, 2477, 8771, 21023, 41219, 71345, 113387?\nAnswer: 169331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*j**3 - 10*j**3 - 2 + 20*j**3 in the form q*j + s + g*j**2 + i*j**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 3*f**2 + 445*f + 895. Let o be r(-2). Calculate the highest common factor of o and 431.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.133 - -0.266. Let o = v - 0.033. What is the second biggest value in 5, 2\/7, o, -2\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 44 = 12*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -210.8 - 22.2. Let j = d + 248. What is the second biggest value in 0.2, 1\/10, -3, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1361, -5535, -12513, -22313, -34953, -50451?\n\"Answer: -3*m**3 - 1384*m**2 - m + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1625*a + 2126 wrt a?\nAnswer: -1625","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-325*g**3 - 43*g**2 + 19*g**2 + 7*g**2 + 17*g**2)*(3*g + 2*g + 4*g).\nAnswer: -2925*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28592 and 428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 4, z: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -8084*c + 8095*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 49 = 59 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, x: 12, u: 1, f: 1, b: 3}. What is prob of picking 1 u and 1 b?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(833) - (-2 + sqrt(833))) + (sqrt(833)*3 + sqrt(833))*-1)**2 - (2 + sqrt(833)*-2 + sqrt(833) + (sqrt(833) - -1*sqrt(833)) + -3)**2.\nAnswer: -42*sqrt(17) + 12495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.80369 - 0.19631. Which is the closest to 51? (a) y (b) -3\/5 (c) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20712 divided by -733\nAnswer: -20712\/733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 234637, 469279, 703921?\nAnswer: 938563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 f when two letters picked without replacement from fpe.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 - 9*v - 32. Give d(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 9:08 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 3*i + 12, 0*i + 30 = 5*f + 5*i. Put -11, f, -4 in decreasing order.\nAnswer: f, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -372\nAnswer: -744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*l + 3*s - 2*s, -l - 2*s + 2 = 0. Solve 5*k + 14 = l, -4*k = -3*u + 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 273, -0.77, -5?\nAnswer: -0.77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (n + 5 - 5)*(2*n - 3*n + 3*n - 1 - n + 0*n + 2*n + (0 + 0 + n)*(2 - 5 + 4)) in the form f*n + x + k*n**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 times 62225?\nAnswer: 10578.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 3*l - 15. Suppose -4*k - 9 = 15. Let i be h(k). Is i > 11\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*g + 10. Suppose -g*y - 7*y + 45 = 0. Let j(d) = -d + 7. Calculate j(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -52*a + 1. Let d(k) = -37*k - 24. Calculate d(j(v)).\nAnswer: 1924*v - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 5*f = 86, 4*w - 180 + 14 = 3*f + 6 for w.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -2*l + 326, -2*l + 276 + 75 = -r. Let f = l + -1209\/7. Suppose -8 = -4*q - 0. Which is the nearest to 0? (a) f (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -4. Let z = l - 3. Is z + 15 - (-2)\/(-1) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 2*i**2 + 4*i - 2. Let v be q(3). Suppose 6*n - 2*n = 684. What is the greatest common divisor of v and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -236 - -241. Let s be ((-2)\/(-6))\/(2\/6). Suppose 0 = -4*a - 17 + 61. Put a, s, q in decreasing order.\nAnswer: a, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 373.17.\nAnswer: -746.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2793 from 12.\nAnswer: -2781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbpp when four letters picked without replacement from {p: 10, b: 2}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -13691*y + 6707. Let j(o) = 13690*o - 6654. Let z(x) = 3*j(x) + 2*u(x). Differentiate z(t) wrt t.\nAnswer: 13688","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-3*6\/18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j + 3*j - 2*j**3 + (0*j + 0*j - j)*(-j**2 - 2*j**2 + 5*j**2) + j**2 + 4*j**3 - 11*j**3 + 8*j**3 to the form o*j + m + r*j**2 + k*j**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 271333714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 5*r**2 - 7*r + 6. Let s = 14 - 10. Let t be u(s). Let z be 10\/t + (-5)\/15. Sort z, -1, 4 in decreasing order.\nAnswer: 4, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -a + j - 45, 3*a = 4*j + 62. Solve -t - t = 3*x + 11, 2*x + 5*t = -a for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 7 - -7 - (-595 - -627)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -77002, -77373, -77734, -78079, -78402, -78697?\n\"Answer: a**3 - a**2 - 375*a - 76627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from oyoatuutayayoutu.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.55 to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w - 6 = -27*w. Let k(g) be the second derivative of 4*g + 0*g**5 + 0*g**4 - 1\/10*g**6 + 0*g**3 + 0 + 3\/2*g**w. What is the derivative of k(a) wrt a?\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, p: 1, y: 5, w: 4, m: 1, g: 1}. What is prob of picking 2 w and 1 p?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 219\/13. Which is the second smallest value? (a) -5 (b) -3\/13 (c) 0.4 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 4*z**2 + 11*z - 9. Calculate i(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1139857 (b) -5 (c) 4 (d) 106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.7 * 2.5.\nAnswer: 9.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**5\/10 - k**4 - 7*k**3\/3 - 191*k. Factor y(r).\nAnswer: 2*r*(r - 7)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.9 - 3.8. Let y = a + 1. Let f = y + 4.9. Sort -3\/11, f, 5 in decreasing order.\nAnswer: 5, f, -3\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41.1 + 41. Let y be (-3)\/(228\/(-68)) - 1. Which is the third smallest value? (a) g (b) 0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80516 = 4764*j + 114808 for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3\/17 (b) -3 (c) -7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.78 - 0.58. Suppose 2*m - 3 - 3 = -s, 2*s = 2*m - 6. Which is the fourth biggest value? (a) t (b) s (c) -0.1 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 341742.\nAnswer: 2, 3, 56957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 123, 3\/2, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/2 - 241*x**2\/2 + 9727*x\/2 + 619377\/2.\nAnswer: (x - 137)**2*(x + 33)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1126480?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 1 - 3. Let x(z) = -z**o - 3 + 3*z + 2*z**2 - 14*z - 8. Let w be x(12). Solve -2*h = -h + w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-66)\/8))\/(1\/(-11)*1024\/512).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 379 - 3819\/10. Suppose -q - 8 + 1 = -3*j, 2*j - 12 = -3*q. Find the common denominator of (-195)\/18*j\/8 and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 712 - 1705. Are z and -993 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 25*n + 9. Let a be h(-24). Suppose -26*z = -a*z + 42. Let g(r) = -r**3 + 8*r**2 - 6*r - 5. Calculate g(z).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pgsnpvvgvpgvggnp. What is prob of sequence nvv?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 195 and 118885.\nAnswer: 356655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, j: 5}. Give prob of picking 2 t.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 52*q. Suppose -7*a + 11*a - 4 = 0. Let k be a + 6 + (-3 - 0). What is the tens digit of n(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*b + 55568 = 135*b - 412*b - 202*b for b.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 222367 by 570.\nAnswer: 222367\/570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 13*j - 5. Let s be q(13). Let r be (-2 - s)*(28 + 3). Let i = r + 29. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmppmpmpmpmppppm. What is prob of picking 2 p and 1 m?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*t - 84 = 0, -5*a - 110 - 100 = -2*t. Let r = 66 + a. Let m be 2*4 - 0\/1. What is the greatest common factor of m and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b71 (base 14) to base 2.\nAnswer: -10100011110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -5*z - 9*g + 80, 5*z = -5*g + 90. Let r = z + -8. Solve 2*a - 8 = -3*d, r*d - 7 - 5 = -3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9360 divided by -48.\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 4*d**2 + 5*d - 5. Let f be x(4). Suppose -f = -2*s - 3*s. What is the lowest common multiple of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -5)\/((-4)\/(-2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-12))\/(2\/8). Let d be -2 - 16\/10*-1. Which is the closest to r? (a) 1\/3 (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 43*r + 1188. Let c be j(19). Solve -54*d + 49*d - c = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5566 = 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1539) - sqrt(1539)*2)*-5 - (1 + 1*sqrt(1539)))**2.\nAnswer: -288*sqrt(19) + 98500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344134056?\nAnswer: 2, 3, 7, 292631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -24674601366 and 391.\nAnswer: -24674600975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.87416036 to 3 dps.\nAnswer: 1.874","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -10 + 11*o + 4*o**2 + 2*o**2 + 2. Let i be y(-4). Suppose -3*m - i = -77. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c**3 + 5*c**2 - 5*c - 3. Let s(d) = 6*d**3 - 7*d**2 + 7*d + 4. Let w(k) = -7*b(k) - 5*s(k). Suppose -4*u = -2*u - 2. Give w(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -14*c**2 + 41*c - 148. Determine j(3).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 h when three letters picked without replacement from phppphpphphhp?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*i = -1262 - 4487 + 1477 for i.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.80529 centuries in decades?\nAnswer: 528.0529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u - 4. Let m be z(-4). Let g be m*3*1\/3. Find the second derivative of 0*t - t**2 + g*t + t wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17658 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -1\/3*j**3 - 3\/4*j**2 - 6*j - 1\/24*j**4 + 5. Factor i(t).\nAnswer: -(t + 1)*(t + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*t + 21*t + 499*t - 42228 = 0 for t.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -911\/2 + 418. Find the common denominator of 27\/10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -116, -1, -14924 in decreasing order.\nAnswer: -1, -8, -116, -14924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 25256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123939.\nAnswer: 3, 47, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1266157972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1932 - 1295. Suppose h = 5*v + 5*j - 623, 3*j = -v + 254. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 809774.8mg in kilograms?\nAnswer: 0.8097748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6882\/11 + -163969\/264. Calculate the common denominator of m and -3 + 2\/(-24) - 0.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2299714, 4599408, 6899102?\n\"Answer: 2299694*c + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 4 = 6*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7523705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -14*s**3 - 33*s**2 - 16*s - 23. Let q(p) = 5*p**3 + 11*p**2 + 5*p + 8. Let w(t) = -4*f(t) - 11*q(t). Give w(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15 and -67425.4?\nAnswer: 1011381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-31 - (7 - -3))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 133538158?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**19)**(2\/21)\/(j**9\/j*j)**(-3\/2) assuming j is positive.\nAnswer: j**(647\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*y, -t = -2*t - 3*y - 869997. Round t to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((4\/3)\/(-2))\/(128\/1152). Let z = 11 + -18. Let m = z - -5. What is the nearest to 2\/3 in m, x, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 445 and -32?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/26 - 252\/(-52)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 4. Suppose 0 = -3*w + 2*w. Let v(z) = -2*z - 2. Let y be v(-3). Suppose p = -w*p + y. What is i(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*(sqrt(243) - (sqrt(243) + 1*(sqrt(243) + -1) - sqrt(243))) - (2 + (sqrt(243)*-1 + -1 - (2 + sqrt(243)*-2))))**2.\nAnswer: -162*sqrt(3) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tfftufffutfuuftuuufu. Give prob of sequence fftf.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7555853611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 7*n - 33 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*k + 20, 0 = c - 2*c - 2*k + 4. Sort -8, -1, c in increasing order.\nAnswer: -8, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 7*y**2 + 2*y - 9. Let l(u) = 7*u**2. Let n be l(1). What is j(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*a**2 - 8*a**2 - 1 - 5*a**4 + 1 wrt a?\nAnswer: -120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-69)\/(-46) + (-10)\/4 + -725. What is y rounded to the nearest ten?\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 6*k**2 - 7*k - 4. Suppose -4*q = -z - 2*z + 29, -2*q - 5*z = -5. Let b be o(q). What is the units digit of (27*b\/9)\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32 + 65 - 39 + x**4 + x**2 + 0*x**3 - 11*x - 2*x**3 in the form g + i*x + m*x**4 + k*x**2 + a*x**3 and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 + 1.04. Let f = r + 0.06. What is the closest to -3\/2 in 1, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w - 76330 = 8*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 498530656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4ad + 2884?\nAnswer: 23c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 8:17 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1222677 + 0?\nAnswer: 1222677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -92. Suppose 2*z - 19 - 168 = g, -z = 3*g - x. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2905*o**2. Let x(h) = -3*h - 54. Calculate x(g(l)).\nAnswer: -8715*l**2 - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 350671169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1961.\nAnswer: 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 447 and 62878.\nAnswer: 188634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 + -45. Which is bigger: a or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2180 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-300989216)\/3103144 - (-2)\/(-394).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 + 0)*(-5 + 3 + 4)*(-22*x - 8*x + 17*x).\nAnswer: -182*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 17868673 (base 9) to base 13\nAnswer: 1b3b1b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 8 = -14. Suppose 18 = z + 2*z. Suppose -3*s = u - z, s - 6*s + 13 = o*u. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -35\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -24 (b) 0.1 (c) 1\/2 (d) 4\/773 (e) 0.4 (f) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*r + 21*r - 140. Suppose -l + v + 6 = 2*v, 0 = 5*v - r. Suppose -4*x + 4 = -2*x. Calculate the highest common divisor of l and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*p = -1266*u + 1268*u - 166, 2*p = -3*u - 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1233077185 to the nearest integer?\nAnswer: 35115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -52289806 divided by 37?\nAnswer: -1413238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -31. Let r(t) = 293*t - 282*t + x - 1. Give r(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 + 10425*u**2 - 10477*u**2 + 3 - 5*u**3 - 2 wrt u?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 54991 in descending order.\nAnswer: 54991, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 97 = 105. Suppose 0*u = -5*a + u + 84, -44 = -3*a - u. Calculate the smallest common multiple of a and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 10 - 2. Let p = -180302 - -180308. Solve l*g - b - p = 4, 0 = -4*g - b + 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32276473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + 0 + sqrt(8)*-1 + sqrt(20)\/(-3*sqrt(10)) + 3.\nAnswer: -7*sqrt(2)\/3 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3\/3 - 1408*g**2\/3 + 5824*g.\nAnswer: -4*g*(g - 12)*(g + 364)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/42 - (-498)\/21 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/6*((-608)\/(-128) + (-25)\/(-20)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqm when three letters picked without replacement from qqqqqmqqmqqqqqm?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express d**3 + 29 - 31 - 3*d - 2*d**3 as l*d + b*d**3 + u*d**2 + f and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -14*a - 7. Determine v(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -765 divided by -91?\nAnswer: 765\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 252, 245, 236, 225?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1369.2227, 0.3, -3 in ascending order.\nAnswer: -3, 0.3, 5, 1369.2227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2478*f + 119121. Determine z(-48).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -247917, -247909, -247891, -247857, -247801, -247717, -247599, -247441?\nAnswer: -247237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 822a5 (base 11) in base 13?\nAnswer: 428c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of u - 8*u**2 + 2*u**2 - 3*u - 2 wrt u.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61085*d**3*g**2 + 412*d**3*g*p**2 - 2*d**3*p**3 - 222*g**2*p**3 - 20642 wrt g?\nAnswer: 122170*d**3 - 444*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + v = 6*r - 540, 5*r + 2*v - 688 = 0. Suppose 2*t + 2*s - r = -12, 2*t + 5*s = 109. Calculate the remainder when t is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 409*r**3*y**3 - 4*r**2*y**3 + 8*y**3 wrt r?\nAnswer: 2454*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2128 by -28.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**1))**(-3\/7)*(((m*m**(-1\/4))\/m)\/m)\/m**5 assuming m is positive.\nAnswer: m**(-163\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*b - 10 - 13 = 0, 2*b = -4*r + 2. Let s be (4 + r)\/((-3)\/(-21)). Calculate the common denominator of 7\/8 and ((-5)\/(-4))\/(s\/(-8)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 6 = -5*v, 18665*v - 18667*v - 5*a + 24 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*w**2 - 4*w**2 + 2*w**2 + 3 - 4 + 13*w**2.\nAnswer: 33*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 280, -1\/31, -0.1 in ascending order.\nAnswer: -0.1, -1\/31, 2, 280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/35*5)\/(11\/(-1540)*-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131858984 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 33*h + 9. Let n be y(-1). Let v = 333 - n. Is v a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5189, 9695, 14201, 18707, 23213, 27719?\n\"Answer: 4506*m + 683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 9*t + 8. Let f(z) = z**2 - 22*z + 32. Let m be (40\/6)\/(4 + (-76)\/18). Let g be (-6)\/(4\/(-12)*(-27)\/m). Let i be f(g). Calculate r(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -138 + 141 - (5 + 1 + 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggg. What is prob of sequence ggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v - 1. Calculate the lowest common multiple of j(10) and (-3)\/(-7) - 0 - (-360)\/42.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6573574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -123 + 178. Let z = v + -145. Let w = -88.75 - z. What is w rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = b + 28, -37 = -5*y + 2*b + 1. Let z = 9 - y. Suppose -z*f + 15 + 15 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/2, -3\/5, 2\/57, -1\/5, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 23848 = -3*q + 51146, 3*f = -3*q + 74994. Let v be 1\/q*(-7 - -15). Let y = v + -1362479\/274978. Find the common denominator of y and -13\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d3 - 4202?\nAnswer: -410d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 256715368?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3176*f - 12669. What is t(4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 + 110000?\nAnswer: 11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 33 = -5*q + 4, 0 = -5*p + q + 15. Let d be (-6 - -1*p)*-4. Calculate the greatest common factor of 48 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddma when four letters picked without replacement from daaddaamddddaa.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 6*r - r)*(0 - 8 - 5)*(5 - 5 - 3).\nAnswer: 78*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 181383 + 2?\nAnswer: 181385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17668933 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**2 - 128. Let n(j) be the first derivative of 9*j**2\/2 - 1. Give t(n(c)).\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 - 19*t + 83. Let g(l) = 3*l**3 - 5*l**2 + l - 5. What is the remainder when g(4) is divided by j(5)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/4*-1)\/(75\/120). What is the closest to c in 0.25, 0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 306 and 1309731.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 11:15 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q - 2. Let u(t) = -4*t - 3. Let j be u(-1). Let y be i(j). Let s be ((y + 3)\/(-1 - -2))\/(-1). Solve -5*r - 2*k = -s*r - 31, 0 = 3*r - 5*k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3024) - -1*sqrt(3024))*-5)\/(sqrt(77)\/(-2*sqrt(539))).\nAnswer: 1680*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 + a - 1. Let q(v) = 24*v**2 + 5*v + 6. Give 6*h(c) + q(c).\nAnswer: 12*c**2 + 11*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 22\/2 + -29 + 32. Suppose 3*m + 41 = n. Let v(y) = -y**2 - 10*y - 6. Determine v(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (79\/(-632))\/((-15)\/(-24)) - (-352)\/10.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -198921288*y**2 - 20*y + 1047485.\nAnswer: -397842576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5694 and 68796806?\nAnswer: 1898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203 = -5*f + 4*j, f - j + 1590 - 1514 = 3*f for f.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/10 - (-8)\/(-20). Let x = k - -2. Let c(j) = 2 - x*j**2 - 2. Let v(u) = 2*u**2. Determine v(c(o)).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -365001099 plus 81?\nAnswer: -365001018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 267930635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 p when four letters picked without replacement from ppzpyvypyiyyyypppzyp.\nAnswer: 784\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1102738754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 9*f - 55. Let x(a) = 11*a - 54. Calculate -7*s(r) + 6*x(r).\nAnswer: 3*r + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*z**4 + 16*z**4 + 4*z - 5*z - 6*z**2 - 36*z**3 - 59*z**4 in the form g + i*z**2 + r*z**4 + h*z**3 + p*z and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggwwgggzzzwzzwgwzzw. Give prob of sequence wg.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -97*p**3 + p**2 + 2*p + 1. Let q(l) = -l**3 + 4*l**2 - 4*l + 2. Let x be q(3). What is the units digit of s(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 206*q - 1308256 - 1043646. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*u + 89, -2*t - 22 = -u - 7*t. Calculate the least common multiple of 1 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 4*o + 7. Let f be w(-5). Let m be (-1*106)\/(f + -1). Let h = -58 - m. Is h a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 36*n**2 - 260*n + 4. Calculate o(-26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 17*n**2 + 20*n - 13. Suppose 0 = -6*c - 13 + 121. What is the remainder when q(c) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*v**2 - 141 - 10*v**3 - 162 + 11*v**3 + 78*v**2 + 252.\nAnswer: v**3 - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5807733935 to the power of 1\/2, to the nearest integer?\nAnswer: 76208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 5*l - 2. Let g be i(-6). What is the third derivative of 2*t**3 - 39*t**2 - 22*t**2 - 114*t**4 + 115*t**g wrt t?\nAnswer: 24*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -u, 73*u - 76*u - 3*m + 5 + 3 + 16 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3748.701 months?\nAnswer: 312.39175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 65*z - 8*z - 11 as x + f*z and give f.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12222212012011 (base 3) to base 8.\nAnswer: -14116315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4520088, -4520083, -4520078, -4520073, -4520068, -4520063?\nAnswer: -4520058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10713 - -20959\/2. Let f = q + 239. Calculate the common denominator of f and 121\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 26. Let f be k(-18). Let t be ((-51)\/6)\/(f\/((-2912)\/7)). What is the greatest common factor of t and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -277*p**2 + 2020 wrt p.\nAnswer: -554*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b**2 - 5*b + 4. Let j(g) = -9*g**2 - 12*g + 9. Let y(d) = -2*j(d) + 5*u(d). Give y(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v - 12. Let p = 9 - v. Let z(b) = -465*b**3 + 5*b**2 - b + 5. Let s be z(p). What is s rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**2 + 3724408*r + 14897696 = 0 for r.\nAnswer: -4, 931106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 124976191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5812317 + 1?\nAnswer: 5812318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*l + 56. Suppose -3*c + 15 = -33. Let k = c - 12. Solve 2*q = 5*b + 6*q + l, -3*q - k = 2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*x = 3*u, 3*u + 2*x - 5 = 0. Solve -3*d - 3*r + 9 = -6*d, 0 = -5*d - u*r - 25 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3941 - -3941. What is the closest to -1.4 in -1\/22, 1\/6, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 2695\/(7 - 62)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1226286723?\nAnswer: 3, 408762241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {b: 1, x: 9, y: 4, k: 1}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/1 + 1)\/((11449\/107)\/(-214)). Let o(n) = n**3 - 3*n**2 + 3*n - 1. Let b be o(2). Let i = 3 + b. Solve v*w + i = 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 8. Let a = -6 + g. Suppose 0 = -3*z + 3*l + 39, -a*z = -2*l - 3*l - 35. What is the highest common factor of z and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 101 - 101.1. Which is the nearest to 1? (a) -2 (b) z (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/((2\/18)\/((-1)\/(-3))). Let g = -7 + j. Suppose -7*v = -g*v + 82. List the prime factors of v.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 0*g**2 - 17*g**2 + 8*g**2. Let x(n) = -n. Determine r(x(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4780.339 + 4775. Round p to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, -1, 2\/19333, -2\/9, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (123\/(-2))\/(3\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2134 and 128686602.\nAnswer: 2134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 11:10 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (507*t**2 + 1132*t**2 - 3049*t**2)*(1 - 3 - 1)*(4 - 4 + t) as h*t + g + p*t**2 + l*t**3 and give l.\nAnswer: 4230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 375448755?\nAnswer: 375448755.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 5\/3*m**4 + 0 + 10\/3*m**3 + 0*m**2 - 41*m. What is the second derivative of p(t) wrt t?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21336 is divided by 32.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 k when four letters picked without replacement from {p: 3, k: 5, e: 1, u: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -167 + -194?\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4712, 9391, 14070?\nAnswer: 18749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 i, and 2 d when four letters picked without replacement from {b: 5, g: 8, r: 1, i: 1, d: 5}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s - 4. Let x(n) = -n**3 + 7*n**2 - 6*n + 1. Let b be x(6). Let a be (b - 5)*(-4 + 5). Let o be r(a). Solve o*j - 16 = -0*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 35*d - 28. Let s = -124 - -129. Let a be f(s). Calculate the greatest common factor of 21 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-6)*v\/(v\/(v*v**2)))\/((v**1*v)\/v**(2\/11)))**41 assuming v is positive.\nAnswer: v**(-2173\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*s + 0*s - 81*s - s as z*s + m and give z.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (4 - (-4 + -5 + 17 + -10) - -51).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 26. What is the closest to -2\/3 in -5, 3\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30333497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-16\/5)\/x)\/(x*x*x**(16\/7)*x*x)*(x**(1\/2))**(-2\/15))**(-43) assuming x is positive.\nAnswer: x**(47644\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/28 and -57\/77?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 554880731 to the power of 1\/2, to the nearest integer?\nAnswer: 23556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, u: 3, c: 3, p: 1, a: 1}. What is prob of picking 1 c, 1 p, 1 n, and 1 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 52*m**2 - 3*m + 2757. Calculate r(51).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3535 + 11?\nAnswer: 3546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 26*n**2. What is l(-1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -4 (b) 42 (c) 0 (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1590 + 495.535777.\nAnswer: -1094.464223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 1:24 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.01, -3, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 99?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 553994.7l?\nAnswer: 553994700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.018618 rounded to four dps?\nAnswer: -0.0186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48486141 and 708.\nAnswer: 193944564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -99 by 17077.\nAnswer: -99\/17077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.8191 - -100.2339. Let g = -131 - -16. Let j = y + g. Round j to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 f when four letters picked without replacement from {f: 3, s: 4, m: 7}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -42 (b) 0.5 (c) -3 (d) 1\/3 (e) 5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*l - 315 = 117*l for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1518\/7 - -3029\/14. What is the third smallest value in 2.7, k, -0.24?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 101011000011010110101100?\nAnswer: -101011000011010110101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 2*q - 3. Let w be m(3). Is 20 a factor of (30\/(-4))\/(w\/32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(3 + 1 - 3)*(-2*w + 0*w - 3*w).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-4)*52\/(-39). Suppose -u = 4*x, s*x - 4*u = 6 + 12. Suppose 1 = -9*g + x. Solve -y = -g*y - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 154343 + 231530?\nAnswer: 430313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*a + 29, 17 = a + m - 4*m. Suppose 3*b = -2*b + r + 1037, -a*b - 3*r = -408. Suppose -l = 2*l - b. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 9:39 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 275, 1116, 2521, 4496, 7047, 10180?\n\"Answer: i**3 + 276*i**2 + 6*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n. Let l(b) = b**2 - 6*b + 2. Let g be l(4). Let q(h) = -h**2 + 9*h - 3. Let v(m) = g*w(m) - q(m). Let x be v(2). Is 1 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 131*v + 1299*v**4 + 1 + 1295*v**4 - 19*v**5 - 2593*v**4 wrt v.\nAnswer: -380*v**3 + 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-10))\/((-196)\/(-140))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 4*w + 95742 - 95754 = 0, -4*d = 7*w - 3 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6456.468 to 0 decimal places.\nAnswer: 6456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 12*y - 26. Let n be x(14). Which is the third biggest value? (a) n (b) 5 (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4 + -33 + 35\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(1 + (-1)\/2). Suppose 8 - 10 = -2*x. Is (38\/(-4))\/(x\/t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4*d**2\/5 - 2706456*d - 216517504\/5 = 0.\nAnswer: -16, 3383086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1630970 and 42350.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -t + 5*t. Suppose 3*d = -0*d + 2*y, 0 = -2*d - t*y. Suppose -5*i + 8 = -a - d*a, -10 = -2*a - 3*i. Solve 0 = -a*b + 4 + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44122434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 45) + 83 + -57\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -28 (b) -39 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from mmzzzzzmzzmzzz?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4) - 415\/10. Let h = 95 + z. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.228*-4341.376.\nAnswer: 989.833728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/((v**(-1\/6)\/v)\/v*v))*v)**(1\/45)*v**(1\/5)\/v*(v**(-3)*v)\/v assuming v is positive.\nAnswer: v**(-1027\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 11*o**2 - 19*o - 31. Let z be 1*(66\/6)\/1. Let j(r) = -r**3 - 6*r**2 - 9*r - 16. Let w(u) = z*j(u) - 6*x(u). Solve w(h) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/8)\/(2*(-6)\/(-36)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f*f\/f**(1\/2)*f*f)\/f**(2\/17))\/(f\/(f*f**(-4))*f**3\/f))\/((f**0\/f)**(2\/93)\/((f\/f**1)\/f)**49) assuming f is positive.\nAnswer: f**(-156823\/3162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 143615170 to the nearest integer?\nAnswer: 11984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 521178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09*632235.\nAnswer: -56901.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3711.\nAnswer: 3, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 8:01 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -43*d**4 + 3*d**3 + 3*d**2 - 3*d + 116. Let j(u) = -44*u**4 + 2*u**3 + 2*u**2 - 2*u + 115. Let f(s) = 3*j(s) - 2*z(s). Differentiate f(k) wrt k.\nAnswer: -184*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k - 10. Let f(z) = -z - 1. Let x(b) = b**2 + 598*b + 3551. Let w be x(-6). Give w*p(i) + 6*f(i).\nAnswer: -3*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -159*v**3 + 36*v + 93*v**3 - 125*v**3 - 34*v - 1 - 137*v**3 as t*v + a + w*v**3 + s*v**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 97470 and 418.\nAnswer: 1072170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -0*y + 3*n + 135, -n - 135 = -3*y. Let o = y - 38. Solve -3*m + 20 = k + o, 5*m - 19 = -k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -227 - -324. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 + 3*c**3 - 2*c**3 - 5 + 2*c**3 + 5 - 5*c**2 - c**3 + 5*c**2 + (c**3 + 2 - 2)*(-2 - 2 + 2) + 3*c**3 - c**3 - c**3 - 2*c**3 + 2*c**3 + 3*c**3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -158 + 160. What is the least common multiple of 4 - (1 - (-2 - -1)) and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**3*v**3 + 9*o**3*v**2 - 81*o**2*v**2 + 1883*o*v**3 wrt v.\nAnswer: 6*o**3 + 11298*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11964185?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 103481, -27\/5, -2, -5 in descending order.\nAnswer: 103481, -0.1, -2, -5, -27\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - m = 23 - 5, -4*i - 3*m + 26 = 0. Suppose -18 = -i*t + 182. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.27 * -0.6\nAnswer: 3.762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 1\/4*g**4 - g**3 + g + 2*g**2 - 2. Is b(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 98*p - 96*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6367*z**2 + 4427*z**2 - 3255*z**2 + 2878*z**2 to h*z + d + y*z**2 and give y.\nAnswer: 10417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82648332 and 468?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + z + 1. Let j = 9 + -6. Suppose 0*d - w = -5*d + 1, 0 = -j*d - 5*w + 23. Let q(g) = -2*g**2 + g + 1. Give d*v(r) - q(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*r**5 - 4385*r**4 - 25350*r**3 + 248000*r**2 + 20000*r = 0. What is r?\nAnswer: -20, -2\/25, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 5:54 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/2783 and 37\/2783.\nAnswer: 2783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, b: 1, f: 1, j: 1, e: 1, s: 1}. What is prob of sequence bfje?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 34 - 5*r + 2*r - 34.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibblf. Give prob of sequence bbl.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/3374 and 37\/25064.\nAnswer: 175448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -132.9524 rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -2*g + a, -g - a = -2*a - 49. Calculate the common denominator of 20\/g - 518\/(-80) and 1\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h**3 + h**3 - h**3)*(-59 - 71 - 4258) to the form p + o*h**3 + i*h + n*h**2 and give o.\nAnswer: -13164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2022*g = -2044*g + 242 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 53, -2, -3 in ascending order.\nAnswer: -9, -3, -2, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 - 205*i + 123793. Is w(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 - 2*a**2 + 5*a**2 + (0 + 2 + 1)*(0*a**2 - 3*a**2 - 2*a**2) - 3*a**2 + 7*a**2 + a**2 to the form l*a**2 + g*a + q and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (1 - -12 - 6) - 17\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6456 is divided by 1611?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 7 = -14. Suppose -3*m + 17 = 5*z, 0*m + 15 = f*m + 3*z. Suppose -m*s + 184 = 4*a, 2*a - a + 3 = 0. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6745 (base 14) to base 11\nAnswer: 124a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 29*k**2 - 17*k + 186. Calculate the remainder when l(-29) is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 2*s + 3*s)*((0 - 2 + 4)*(3*s**3 - 4*s**3 + 4*s**3) - 3*s**3 - 17*s**3 + 1452 - 1455).\nAnswer: -42*s**4 - 9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 225 + -461. Let b = q + 346. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 6 - 2 - 12306*x.\nAnswer: -12306*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1416 and -83\/139358.\nAnswer: 1672296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -466*q - 193 - 188 - 101 + 480 - 127*q in the form c + j*q and give j.\nAnswer: -593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -12 + 7 - 2*r + r. Let o be s(-6). What is the tens digit of o\/(-3) + (-2604)\/(-63)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -53 + 15a?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.8428 to zero dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {s: 3, h: 3, q: 3, e: 1, l: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 36*t**3 - 294*t**2 - 474*t + 4178. Calculate i(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t - 27 = -w + 2*w, -4*w - 10 = 5*t for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -26, -68, -136, -236?\nAnswer: -374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119118*q - 17691*q**2 + 119118*q - 238236*q.\nAnswer: -17691*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -58*k**2. Let o(p) = 3069 - 3069 - 48*p**2. Give i(o(g)).\nAnswer: -133632*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jsh when three letters picked without replacement from {j: 1, s: 1, h: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -4, 6, -37640, -3, -2, 4.\nAnswer: -37640, -16, -4, -3, -2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -x + 43*x + 94 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -5, -4, -120124 in descending order.\nAnswer: -1, -2, -4, -5, -120124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -38924 divided by -9731\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1716156 to 4 decimal places.\nAnswer: 0.1716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -37. What is the lowest common multiple of z and 4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27 - 1113?\nAnswer: -1075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 71) + 88 + 5 + (-55 - 2).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + 3)*1 - 57. Let n = 30 + a. Let f be ((-6)\/n)\/((-27)\/(-36)). What is the nearest to 0.2 in -2, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000478231 rounded to 7 dps?\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrdldgl. What is prob of sequence lg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 4*q - 6. List the prime factors of v(-4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -7. Let r = 2.9 - f. Let o = 6 + -11. Which is the biggest value? (a) r (b) 3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*a**2 + 0*a**4 + 2 + 2*a**4 + 48*a**2 to the form w + o*a**4 + z*a**2 + x*a**3 + d*a and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 429 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 214344451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of m**6\/180 - m**5\/120 - m**4\/12 + 4*m**3\/3 + 3. Let y(c) be the third derivative of o(c). Is y(2) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 3) to base 4.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, w: 8, t: 4}. What is prob of sequence fww?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -190, -660, 0 in decreasing order.\nAnswer: 0, -190, -660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 + 5*y - 2. Let i(j) = -j + 1. What is 5*i(w) + u(w)?\nAnswer: 2*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 - 29*o - 23. Is t(22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 765409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o**2 + 1. Let i(a) = -4*a**3 + 15*a**2 - 24. What is i(p) + 3*t(p)?\nAnswer: -4*p**3 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 25 - 111. Calculate the smallest common multiple of 2 and 2 - (-184)\/13 - c\/221.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * 24827456\nAnswer: 744823.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*l**4\/3 - 202087*l**3 - 173218*l**2\/3.\nAnswer: l**2*(l - 86609)*(7*l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*b*g**4 + 3*b*g**3 - 663*b*g - 44*b + 3*g**4 + 421*g**3 - g**2 wrt g?\nAnswer: -240*b*g + 18*b + 72*g + 2526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 1. Let y be (-2)\/b*(1 + -23). Let u(f) = f**3 - 11*f**2 - 11. Let q(j) = -2*j**2 - 2. Let i be (1*-4)\/((-4)\/2). What is i*u(s) + y*q(s)?\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h - 21. Let g be t(-11). Solve 3*l - g = 2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 15*x**5 + 72*x**4 - 204*x**3 - 1056*x**2 + 576*x + 3072 = 0.\nAnswer: -4, -2, 2, 16\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*r + 86 - 86.\nAnswer: -53*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 142419 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63 + -61. Suppose h + 2*v = 149, h - i*v = 4 + 165. Calculate the remainder when h is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -95.198 - -95. Let k = 0.102 - i. Which is the closest to 0.11? (a) 2\/9 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103\/105 + -36\/35. Does 1 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u**3\/3 + u**2\/2 + u - 5947. Let w(s) = 4*s**2 - 8*s + 6. Give -6*v(i) + w(i).\nAnswer: -2*i**2 - 14*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5\/8, -1450 in ascending order.\nAnswer: -1450, 5\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*u = 12, -2 - 1 = -z - 5*u. Factor 3*i**2 - i**2 - 3*i**z - 2*i**2.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 27*p - 53. Determine f(24).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.14303396, 1, 4?\nAnswer: -0.14303396","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-5) + ((-88524)\/(-15))\/12. Suppose -a = -13*d + 249. Is 56 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-297)\/(-22)*4\/27.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 39\/6*3*20\/6. Let n be (j\/40)\/13*6. Factor -3\/8*u**2 + n*u - 3\/8*u**3 + 0.\nAnswer: -3*u*(u - 1)*(u + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 112 + -33?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-335)\/536 + 2\/8 + (-4)\/32. Put -4, 5, s, 0, -0.442 in descending order.\nAnswer: 5, 0, -0.442, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 25*q**2 - 99*q - 406. What is the remainder when u(-4) is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1055 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*b - 6 = 0, 2*j - 17 = 5*b + 7. Let y = -11 + 11. Suppose a + 2*a - 12 = y. Sort j, a, -5, -4 in decreasing order.\nAnswer: a, j, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) - -6*(sqrt(405) + sqrt(405) + sqrt(405)*-2)**2.\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.04?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*l = -2*q + 35, 3*l + 10 = 5*q. Suppose 3*o = -a + 4, -2*a - 1 + 9 = q*o. Suppose 5*i - 134 - 176 = o. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 194509044?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*t**3 + 13*t**3 + 82 - 7*t - 173 + 84 to x*t**2 + b*t + p + k*t**3 and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 280925 and 425?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 169 - 5 - (-3335 + 3633).\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*r + 3*r = -133, -3*r - 9 = 0. Let h = j + -17. Suppose 5*b = 2*z + h, 5*z - 27 = -5*b + b. Solve -z*s + 0*s = -3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-22))\/((-87)\/87).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, h: 2, m: 1, o: 2, x: 4, p: 1}. Give prob of sequence cxom.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1abb (base 16) to base 6\nAnswer: 51403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -5*z - 10, -2*f = 2*z - 5*z - 21 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**4 - 513*p**3 - 74*p**2 - 17*p.\nAnswer: 48*p - 3078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 + 38097\/(-1647))\/(-4).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 595 divide 41795660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/2*(4 - 1). Let x(t) = -1 - 1 + 2 + 2*t**2 - 3*t. Does 11 divide x(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -473 + 473. Let o(w) = 2*w**3 + 2*w**2 - 5*w + 3779. Is o(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 71796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*m + 7*m - 135 + 225 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54*k**2 - 190*k**3 + 55*k**2 + 25 + 61*k**4 + 24*k**4 + 101*k**2 - 15*k**5 - 115*k.\nAnswer: -5*(k - 1)**4*(3*k - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 + 28093 - 2*q**2 - 27986 + 7*q**2.\nAnswer: 2*q**2 + 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -32301113?\nAnswer: 32301120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) -6 (c) -272\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 121281*q**3\/5 + 18070872*q**2\/5 + 87322767*q\/5 + 432 = 0. What is q?\nAnswer: -144, -5, -1\/40427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 5. Let h be s(2). Calculate the remainder when 105 is divided by h\/24 + 287\/8.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 9:15 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -760*n**3 - 114*n**2 - 114. Let y(j) = 33*j**3 + 5*j**2 + 5. Determine -5*f(k) - 114*y(k).\nAnswer: 38*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -8507 to the nearest 10.\nAnswer: -8510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2386093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -4 (c) -0.5 (d) 0.4 (e) -0.010399 (f) 1 (g) 13\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -86 - -88. Suppose -460 = -p*f + 12*f. Sort 2, f, 1, 3 in decreasing order.\nAnswer: 3, 2, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 3 + 2 + (3 - 15)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 71 and 2982.\nAnswer: 2982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34396 or 0.1028?\nAnswer: 0.1028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(102) - sqrt(102) - sqrt(102))*6 - -3*sqrt(102)*-1)\/(-6*sqrt(150)*-2*-1).\nAnswer: 3*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5369\/(-354))\/((-763)\/3924).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19389.35 litres in millilitres?\nAnswer: 19389350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -97256 + -14?\nAnswer: -9726a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45294151?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 - 6*g**3 + 3*g**3)*(-5 + 5 - 11*g) + (3*g**3 + 0*g + 0*g)*(-g + 9*g + g) - 3 + 3*g**4 + 3.\nAnswer: 41*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -3\/4 (c) -2 (d) -201 (e) 133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1279 - -1872160.\nAnswer: 1873439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**10*l)\/(l*l*l*l\/(l**(-9)*l*l)*l*l)*((l**(-4)*l*l)\/l)**4)**19 assuming l is positive.\nAnswer: l**(-266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13420537?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 698 - 320. Solve -t + 379 = k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**3 + 1 + 5*t**4 + 1 + 3*t**3 - 4*t**4 - t**2 as f*t + k*t**2 + x*t**3 + q*t**4 + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 5*n = -2*n + 3, -n - 4 = 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*l - 19*l + 17*l + 60 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83556 is divided by 83374.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4202 (base 13) in base 7?\nAnswer: 35420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -101178, -101172, -101162, -101148, -101130?\n\"Answer: 2*v**2 - 101180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9\/2 (b) 4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -378 + 380. Solve -2*k = k + 2*u - 21, -4*k + 14 = -f*u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 11. Let m be s(9). Suppose 8 = m*l - 0*l. What is the common denominator of -1\/22 and (-5176)\/(-880) + l\/(-22)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 90?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-11)*2\/(22\/(-1)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2 + 5*h + 3. Let p = -4 + 6. Let d(k) = -k**2 - 7 - 9*k - 2*k + 5*k**p. Calculate -3*d(b) - 7*z(b).\nAnswer: 2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 115466910 divided by -13\nAnswer: -8882070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -80 or -13368\/11?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1666 and 15634577?\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-15) + 1\/(-15). Let m = 479\/9 + -53. What is the third biggest value in j, -4\/9, m?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -755 (c) 2 (d) -0.09 (e) 4\/13 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 10. Suppose 0 = -2*q - 2 + j. Suppose q*v = 4*v + 23. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/5 (b) -2\/333 (c) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**6\/600 + u**5\/60 - u**4\/15 + 2*u**3\/15 + 15*u**2. Factor m(r).\nAnswer: -(r - 2)**2*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1072956 divided by -1.\nAnswer: 1072956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/20 - 5935721\/(-899360)) + -7. Which is bigger: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**3 + 3*f**2 - 7*f - 2. Let s(v) be the first derivative of v**4\/2 - 2*v**3\/3 + 3*v**2 + 2*v + 4. Let g(b) = -6*s(b) - 5*t(b). What is g(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1231.55074 take away -11329.38?\nAnswer: 10097.82926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - 2)\/4*(0 - -5). Suppose -15 = -2*h - l - 4, -l + 20 = 5*h. Solve -4*u - n = h for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1928084, -3856120, -5784156, -7712192, -9640228?\n\"Answer: -1928036*g - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 443176?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-6))\/(190*(-4)\/(-33288))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -2. Put 0, -2, 5, d in increasing order.\nAnswer: -2, 0, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + x - 1. Let r be q(1). Let o = 37 + -32. What is the second smallest value in -2, r, 3, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n - 2. Let l be a(-5). Differentiate -2 + 1 + l*f - 2*f + 0*f wrt f.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159647 is divided by 17679?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 180*l**3 - l**2 - 3*l - 8. Let o be h(-1). Is o - 2*(3 - 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -2) + -16 + 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 830133831?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -420*n + 8700 = -417*n. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -1207.\nAnswer: -2\/1207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 22302690 and 22302690 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64989)\/86130 - 4\/(-5).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38751*j - 19373*j - 21 = 19379*j for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(102)*-1*1)\/(((sqrt(1470) - (sqrt(1470) + -2*sqrt(1470))) + sqrt(30))\/sqrt(5)).\nAnswer: sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {l: 4, f: 5, g: 5}.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/11)*c**(5\/3)\/c)**(-28)\/((c**2*c)**(-41)\/(c**0*c)**(-37)) assuming c is positive.\nAnswer: c**(2474\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 818944 by 51184.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -347, 0, -495, 4, -4 in descending order.\nAnswer: 4, 0, -4, -347, -495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 + u**3 + (75 + 14*u - 75)*(-2*u**2 + 6*u**2 + 3*u**2) - 56 + 5*u**3 + 56 + 2*u**2 as d*u**2 + t + b*u + y*u**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.6 + 0.4. Let m = -164 + 165.77. Let j = -0.77 + m. What is the closest to -1\/3 in -5, n, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14170, -14, 0, -1, 2, 14 in descending order.\nAnswer: 14, 2, 0, -1, -14, -14170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -0*q + 4*d - 4, -5*q = -5*d + 25. Which is the closest to q? (a) 1 (b) 1\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*t = 602, -2*s + 4*t + 626 = 3*s. Let y = -68 + s. Calculate the greatest common factor of 27 and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s = -5*n - 2, 13 = -n + 5*s. What is the derivative of u**2 - 4*u**2 - 2 + 0*u**n wrt u?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2516 or -1?\nAnswer: 2516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84604765 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77\/47 + 355\/188. Let k(f) be the third derivative of 0 + 1\/48*f**4 + 0*f - 4*f**2 - 1\/30*f**5 + r*f**3. Factor k(u).\nAnswer: -(u - 1)*(4*u + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25573 is divided by 2476?\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -44*n**2 - 17*n - 41*n**2 - 43*n**2 - 7 + 126*n**2. What is f(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in 0.2, -3921, 0.1, 5, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -196.15 + 226.15. Which is smaller: a or -124?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 52.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -3*v + m + 1179, -3*m - 793 = -2*v. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*t - 8*p, 0*t + 4*p + 32 = -5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -6*c + c - 48, 2*p - 5*c = -28. Let b = -10 - p. What are the prime factors of ((-3)\/b)\/(8\/(-1608))?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 241514 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - f + 2*s = -26, 3*f + 2*s = 2. Suppose 8 = w - h, f*w + h = 8 + 4. Calculate the greatest common factor of 12 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeaeeoeeezehhazne. What is prob of sequence hn?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + h**2 - h + 5. Let q be b(-2). Let d = 85 - 20. Suppose 4 = -a + 3*c, -q*c + c + d = 5*a. What is the highest common divisor of a and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + -11b58?\nAnswer: -11b52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 183*a + 1278. What is the thousands digit of v(20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-5 - -6) + -2 + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2721 - 1211.1?\nAnswer: -1211.3721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 438*l - 608016 - 644944 = -326*l. Calculate the smallest common multiple of l and 204.\nAnswer: 83640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3. Let v(p) = p. Let w(s) = 2*v(s) - y(s). Let x(o) = -12 - 4 + 4 + 8*o. Determine 9*w(b) - 2*x(b).\nAnswer: 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 70 = -n - 5*f, -73 = 5*n + f. Let s be (-1 + 233\/12)*-7. Let d = 374\/3 + s. Find the common denominator of d and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 + 18*g - 36. Let l be b(-14). What is the highest common factor of 26 and l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1046?\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1531 and -4?\nAnswer: 6124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.29244 + -3.29244. What is the closest to -21 in l, -6, 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 8 (c) -0.4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -265, -4, -1 in decreasing order.\nAnswer: 0, -1, -4, -265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -4*p - 22, -44051*n + 44055*n = 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-7 + 10 + -11 + (-6)\/(-4)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**4\/12 - j**3\/6 - 23*j - 7. Let q(d) = 4*d**2 + 2*d. Let w = -20 - -14. What is w*g(t) - 3*q(t)?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 64\/11 + (-4)\/(-22). Suppose 0 = 5*c - 4*j - 29, 3*j = 4*c + 2 - 25. Suppose w - c = -l. Let t(x) = x**3 + 2*x**2 - 1. Determine t(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 5:54 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*w - 60*w - 93*w**2 + 94*w**2.\nAnswer: w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**4 + 6*z**4 - z**4)*(3 + 4 - 2)*(3 + 13 - 18).\nAnswer: -20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1004\/65 - -78\/5. Let t = 229 + -233. Let f = -1.17 + 0.17. Which is the closest to -1? (a) x (b) t (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -2*v - 3*i, 0 = -2*v - 0*i + 3*i + 87. Is v a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4 + sqrt(180)*1 + 4)*-6*5)**2 + -3 + 0 + -1.\nAnswer: 3110400*sqrt(5) + 7905596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*u + 64 = -218 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76428664.\nAnswer: 2, 13, 73, 10067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 720107.1 nanometers in micrometers?\nAnswer: 720.1071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4347 and 8001.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iui when three letters picked without replacement from {u: 18, i: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -10, -2, -1 in increasing order.\nAnswer: -10, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 522 - 130 = 9*t. Calculate the smallest common multiple of 168 and t.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350910450 to the power of 1\/4, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2264.4 millennia?\nAnswer: 226440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21857.0033236 - -21857. What is j rounded to four dps?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13587, 22287, 30987, 39687?\n\"Answer: 8700*g + 4887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47271291073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -269802 > -269803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -411 (base 7) to base 13\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/3)\/w)**(-1\/4)*w\/w**2*w*w**(-1\/2) assuming w is positive.\nAnswer: w**(-1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f - 8*f - 4 + 14*f. Let b be y(-2). Let q = 46 + b. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 5*y**2 + 2. What is z(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o = -11*o - 196 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 4*p + p)*(2*p + 1 - 1) - 1 - 2*p**2 + 1 - 4*p**2 + p**2 + p**2 - 2 - p**2 + 2 + (-3 + 2*p**2 + 3)*(0 - 1 + 2).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, w: 1, b: 2, x: 1, o: 4}. Give prob of picking 1 o and 1 n.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-216)\/15)\/(1392\/3480)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91597.\nAnswer: 11, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2665*l + 24 = 2671*l. Let j = -11 + 12.3. Let g = j + -0.2. What is the nearest to l in -1\/9, g, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1de7e (base 15) to base 10.\nAnswer: 97769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.39289, -167, 0?\nAnswer: -0.39289","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 86138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -7*k**2 + 3*k - 3. Let t(p) = 25*p**2 - 1084*p - 11*p**2 + 1077*p + 7. Let n(f) = -7*s(f) - 3*t(f). Let y(a) = 9*a**2. What is n(y(j))?\nAnswer: 567*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-28)\/5)\/(2\/(-5)). Suppose 0 = 4*c - 2 - a. Let f(y) = y**3 - 5*y**2 + 5*y - 1. What is f(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 283267151 to the nearest integer?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**5 - 42*q**4 + 1312*q**3 - 6144*q**2 = 0?\nAnswer: -64, 0, 6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from {h: 4, t: 3, k: 3, u: 1, e: 1, x: 3}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 1:19 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - y - 15985 = 0, -5*y + 2705 = n - 1286. Does 111 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5342942.75 rounded to the nearest ten thousand?\nAnswer: 5340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.4429 + -9.2106. Let w = -2.6765 - i. Let q = w + -15. What is q rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14461 + 28839 - 14468 - 2071*a**3 - 10*a**2 wrt a?\nAnswer: -12426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16.2 + -18.2. What is the nearest to 1\/5 in 5, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 10*m - 7. Let y be c(8). Suppose -11*k + 40 = -y*k. What is the tens digit of (675\/k)\/(3\/8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 288\/480 + (-17)\/(-5). Solve 0 = -4*r + 3*f + 1, -7*r = -m*r + 3*f + 15 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 115*b - 113*b - 151668, z = 2*b + 37922. What are the prime factors of z?\nAnswer: 2, 18959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 8:11 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 11*c**2\/2 - c - 4. Suppose -o + 4*o - 3 = 0. Is 10 a factor of f(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -11 (c) 5 (d) -0.3 (e) 23\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -62)\/(((-28160)\/770)\/(-32))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -l - 17, 0*x + 13 = l - 2*x. Let y be ((-34)\/(-90))\/(l\/9). Let p = -8\/15 - y. Which is the second smallest value? (a) 0.2 (b) 4\/3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -38*x - 170, 99*w - 102*w - x = 22 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 0*d + 2*d)*(-91 - 18 + 69 + 212 + 183) to the form y + o*d and give o.\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -8. Suppose 254 = 4*x - g*x. Suppose 104 = -5*f + x. What is the remainder when f is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jssl when four letters picked without replacement from {l: 3, t: 1, j: 2, q: 2, s: 2, m: 2}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3162153 + 244?\nAnswer: 3162430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 5. Let k be (p + -5)*-1*1. Let h be 1\/((-6)\/(-4) + k). Sort 4, h, 2.\nAnswer: h, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72 - 5 - 47)*(3*j - 2*j - 4*j).\nAnswer: -60*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44799 = -5*h + 2*b, 0 = 3*h + 2*b + 4029 - 30918. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s - 1. Suppose 5*p + 2*c - 6 = -2*c, 4*p - c = -12. Calculate the remainder when u(p) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 343, 330, 307, 274, 231, 178, 115?\n\"Answer: -5*r**2 + 2*r + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -6*k**3 - 7*k**2 - 11*k - 4. Let h(p) = 2*p**3 + 2*p**2 + 4*p + 1. Determine 11*h(i) + 4*l(i).\nAnswer: -2*i**3 - 6*i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(80)*5)**2*4.\nAnswer: 32000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 4*c = -6, 3*o - 2*c + 0*c - 15 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 25 - 29 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmhmcmcmch. Give prob of picking 1 m, 2 h, and 1 c.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 183268 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 5. Suppose -258 = -r*u + 466. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ci when two letters picked without replacement from {j: 3, i: 7, f: 3, g: 3, c: 4}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506 - 58 = -112*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 less than 255085827436.229?\nAnswer: 255085827436.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2888 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from {j: 12, a: 4, z: 4}.\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1323 and 1707993?\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38531, -77064, -115597, -154130, -192663?\nAnswer: -231196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 96*r + 2597. Give s(-28).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*s + 21 - 37 - 63 = 0. Calculate the lowest common multiple of 1 - (-1 - (-632)\/(-2)) and s.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - 5 - 12562\/2. Is 1*(l\/(-5) - 2\/(-5)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 0, -4\/5, -1, 2 in descending order.\nAnswer: 2, 1\/9, 0, -4\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.198*4.511.\nAnswer: -0.893178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -101 - -911\/9. Let s = 6172 - 6176. Sort p, 0.2, s in increasing order.\nAnswer: s, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 2*k + 3. Let u(a) = a**2 + 3*a + 2. Let c(j) = 2*n(j) - 3*u(j). Let x be c(-4). Suppose -x*t = -t - 69. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 1. Let c(p) = -4*p + 6. Let u(h) = -h + 1. Let a be u(0). Let f(q) = a*c(q) - 5*i(q). Find the first derivative of f(n) wrt n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22764349667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q - 2 + 2 - 1 + 4*q**2. Let y be g(-1). Suppose x - 3*a = y*x - 71, x - 29 = -3*a. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-5*(-10)\/25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + d)*(3 - 1 - 4) - 2*d - 2 + 1 - 1 as j*d + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1195*-38\nAnswer: 45410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -35*q. Let m(b) = 2750*b**2. What is w(m(a))?\nAnswer: -96250*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1245 + 8719\/7. Put -5, s, -14 in ascending order.\nAnswer: -14, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -7. Suppose 6*d - 20 = g*d. Suppose 0 = -2*c - d - 5. Is c bigger than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a day in minutes?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -25*v - 141. Calculate the remainder when 48 is divided by r(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65129385 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 698.502ng?\nAnswer: 0.000000698502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76235, 152466, 228697?\nAnswer: 304928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51\/248 + -27957\/5704. Let l = q - -2287\/345. What is the common denominator of l and -35\/11?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 4:06 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 716*z**2\/3 - 34270*z\/3 - 1568.\nAnswer: 2*(z - 48)*(358*z + 49)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 4. Suppose -g*o = -4*o - 4*v - 2, -13 = -2*o + v. Suppose -6 = j + o*a, -3*j - 4*a - 30 = -4*j. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*l - 15*l - 10, 2*d = -4*l - 26. Is d less than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 343*j + 18871. Give i(-55).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 24.68?\nAnswer: -98.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 4:59 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1040*m**5 - 45*m**2 + 15*m wrt m.\nAnswer: 62400*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 765?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -100 - -147. Let l = -17 + y. Let u(d) = -d**3 - 6*d**2 - 2*d - 1. What is the remainder when l is divided by u(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i - 10. Let n be s(5). Solve -7 = -4*h + n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 + (2 - (-2 + 4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 94706444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 339413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 3a97?\nAnswer: 3a98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0182458 rounded to 5 dps?\nAnswer: -0.01825","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (2 + 0)) + (0 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.55 * 0.43\nAnswer: 0.6665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69036*g + 69033*g - 36 = 5*a, -2*g - 4*a - 22 = 0 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 717723004?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2663952738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 5*c**2 + 2*c + 7. Let x be u(5). Suppose 7 = -2*w + x. Sort 2, -3, w, -5.\nAnswer: -5, -3, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**5\/30 + 5*j**4\/24 - j**3\/6 - 21*j**2. Let s be w(4). Let v = 151 - s. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/9)\/(112\/1176))\/((-67)\/(-737))\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63075?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*z - 123 + 189 = 40*z + 4*v - 490, -6*z - 7 = -9*z + v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156706, -313914, -471120, -628324?\nAnswer: -785526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -155.7 + 159.7. Let k = 0.29 + -0.3. What is the nearest to -0.1 in k, -3\/2, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 16.8. Let r = 1.38 + -0.28. Let t = r - a. What is t rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b = 16*b + 20. Let q(z) be the third derivative of 1\/60*z**b + 1\/18*z**3 + 1\/360*z**6 + 0 + 1\/24*z**4 + 3*z**2 + 0*z. Factor q(p).\nAnswer: (p + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 - 3*w + 214*w**4 + 2*w - 152*w**4 to the form t*w**2 + n*w**3 + q + s*w**4 + m*w and give s.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 2 (b) 215 (c) 1 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -124*(-5 + (-42)\/(-8)). Suppose 0 = -3*l + 5*s + 13, -4*l + 4 - 15 = -s. Let b = l - o. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 6*o - 4*o - 75 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x**2. Let m(r) = 11*r. Let k(s) = 11*s. Let q(z) = 2*k(z) - 3*m(z). Determine q(l(f)).\nAnswer: 44*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 8*o - 7. List the prime factors of b(5).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2379 * 291.4.\nAnswer: 360.72406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 6, w + 550 = 2*u + 5*w. What are the prime factors of u?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -306820, -305685, -304548, -303409?\nAnswer: -302268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 16*j + 9. Determine n(16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 at least 258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1655 - -1250727?\nAnswer: 1247052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21835 is divided by 10906?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 74188200 to the nearest 100000.\nAnswer: 74200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/12)\/(40\/(-360)*2))\/((-20)\/(-24)).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/275 and 163\/150.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 74.\nAnswer: 5\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 - 341758492*i + 14599858356764258.\nAnswer: 2*(i - 85439623)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/250 in -1\/3, -0.063, 44?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*h - 2*m, -h + 2*m + 11 + 3 = 0. Let u(d) = -10*d + 57. Let x be u(h). Which is the nearest to 0? (a) -1 (b) x (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.25 rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32557?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140018, 280034, 420050, 560066, 700082?\nAnswer: 840098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 7:58 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 7, r: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 m when four letters picked without replacement from zmxmxxzmmx?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 1. Let g(r) = -8*r**2 - 153*r - 1315. Let l(o) = -g(o) + 5*x(o). Solve l(k) = 0 for k.\nAnswer: -40, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -72.\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20 + 1232*z**2 - 1249*z**2 + 0 wrt z.\nAnswer: -34*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13360 divided by -2672?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -141*v - 9165. Determine a(-65).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -68, -97, -152, -239, -364, -533, -752?\n\"Answer: -s**3 - 7*s**2 - s - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-11)\/f*f**8)\/((f**2*f)\/(f*f**(-1\/2)\/f)) assuming f is positive.\nAnswer: f**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 + 5*n - 10. Let t be i(-5). Find the common denominator of -47\/102 and (-78)\/4 - t\/(-20).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 223\/8 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*r - 0*a + 4*a, a = -r + 8. Suppose r = -3*n + 18. Solve u - 4 = -3*x + 11, 2*x + n*u - 10 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -6 + (-9 - -2) - 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 212 + -6115?\nAnswer: -5603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c**2 - 2096*c - 397822. Give v(-148).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-10)*915\/976)\/((-15)\/70)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48851281307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88 + 247. Let t = -79 + s. Suppose -u - 7*u + t = 0. What is the least common multiple of u and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 42035, 42043, 42051, 42059, 42067, 42075?\n\"Answer: 8*g + 42027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lglsilsqccqllls. Give prob of sequence gq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 13479?\nAnswer: 26958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -b6c781 (base 14) to base 13\nAnswer: -13854a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 984 divided by -6.\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*k = -7, -3*h + 8*h - 16 = 4*k. Let z(c) = 3*c - c + h*c. Let x = -24 - -25. What is z(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6378784125 to the nearest integer?\nAnswer: 1855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3771 (base 12) to base 10.\nAnswer: 6277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00902 rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292578 divided by 97526.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2 - 3*v + 2*v - 2. Let y(r) = -8*r**2 + 5*r. Let q(g) = -45*g**2 + 27*g. Let m(l) = -5*q(l) + 27*y(l). Determine j(m(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d + c = -10, -3*d - 2*c = 2. Let n be d\/2 + -2 + 43. Suppose 0 = -215*l + 495 + 150. Sort 4, n, l in descending order.\nAnswer: n, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from awxvuaaxxuwxxaauaw?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23099873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -712.99 - -717. Let j = -4 + o. Let b = j - -0.08. Round b to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -133*m**3 + 49. Suppose -698*n = -683*n - 735. Let s(i) = 11*i**3 - 4. Give n*s(q) + 4*a(q).\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -67 and 0.0668638561.\nAnswer: -66.9331361439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225087128 and 224?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3100 - 11?\nAnswer: -3111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*a + 20 = 2*a, -5*a = -5*o - 40. Let b(r) = -9*r. Let y(t) = -4*t. Let u be (-1 - 2)*10\/(-15). Determine o*y(j) + u*b(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4165440 (base 7) to base 10\nAnswer: 503748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -24 (c) 4 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4530 and 30?\nAnswer: 4530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, -106.71, -0.3, 3, 0.3, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y. Let j(u) = -462*u. Calculate j(r(f)).\nAnswer: -924*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 656604008 to the nearest integer?\nAnswer: 869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 208 + -4?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -23868549 divided by -7956183?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (33\/(-5))\/((-9672)\/(-880) + -11). Let n(v) = -726 - 6*v**2 + r. Let k(i) = -4*i**2. Calculate k(n(l)).\nAnswer: -144*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7029729 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71871, 143866, 215857, 287844?\nAnswer: 359827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, 1, 0.4, 0.0369?\nAnswer: 0.0369","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*u - 56 = 25*u. Suppose -u = 55*i - 53*i. Let d(f) = 3 - f + 6*f - 2*f. Give d(i).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.91 * -89344.\nAnswer: 796055.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15756516248 rounded to 2 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 168, 350, 532?\n\"Answer: 182*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -746 - -830. Suppose 8*q - v = -20. Solve 0 = -q*i - 12 - 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 10*o - 22. Let c be n(5). Let p(a) = -5*a**3 - 3*a**2 + 5*a + 3. Let f(w) = 4*w**3 + 2*w**2 - 4*w - 2. Determine c*f(q) + 2*p(q).\nAnswer: 2*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 4)*(1 + 0 + 0) + 1 - 1 - 2 - 2 + 0 - 1)*(-19*o + 12 - 12)*(-3*o + 4*o - 3*o).\nAnswer: -114*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/27)\/((-500)\/150).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*d + 917 + 906 + 919 + 910 - 3649.\nAnswer: 288*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**6\/30 + 19*r**5\/20 + 15*r**4\/2 + 316*r. Factor p(h).\nAnswer: h**2*(h + 9)*(h + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 4*g**2 - 6*g - 22. Let p be d(7). Let z = -83 + p. Suppose 4*s - 5 - 707 = z. List the prime factors of s.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/60 and 97\/720.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -22*t**2 + 4*t - 2. Give f(2).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1305, 2607, 3909, 5211?\nAnswer: 6513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**6\/120 + 11*q**5\/60 + 7*q**4\/3 + 10*q**3 + 371*q**2. Determine a, given that p(a) = 0.\nAnswer: -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/8 - 705*d**2\/8 + 4221*d.\nAnswer: 3*d*(d - 168)*(d - 67)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53*l + 54*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 11247\nAnswer: 4498.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a - 33. Give d(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 48*b**3 - 72*b**2 - 72*b. Let q = -5080 + 5078. Let d(s) = s**3 - s**2 - s. Calculate q*r(h) + 144*d(h).\nAnswer: 48*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74 or -67?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a factor of 5564346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 855331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15993 >= 15986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 6598 = 2*k - 17*c - 5700, 5*k + 2*c - 123 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -237?\nAnswer: 71.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + -0.8. Which is the nearest to -1? (a) x (b) -3 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 times -4.5811?\nAnswer: -975.7743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -302112300001?\nAnswer: 302112300012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -262329, -262366, -262413, -262476, -262561, -262674?\n\"Answer: -z**3 + z**2 - 33*z - 262296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 3*a - 5. Let u be l(-3). Let r be (18 - u)*2\/(-5) - -1. Let k(b) = -152*b**3 - 3*b**2 - 3*b - 1. What are the prime factors of k(r)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16852083 to the power of 1\/3, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-24 - -56) + 12?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 32?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 4 (b) -91 (c) -1\/34 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/18)\/(272\/(-204)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-nine halves of a micrometer?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -99*o**4 - 387*o**3 + 681*o**2 - 267*o + 9. Let d(p) = 25*p**4 + 97*p**3 - 170*p**2 + 66*p - 2. Let k(w) = -9*d(w) - 2*t(w). Factor k(n).\nAnswer: -3*n*(n + 5)*(3*n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 40?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.2 - 11.5. Sort 99, i, 0.3 in ascending order.\nAnswer: i, 0.3, 99","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9.1? (a) -2 (b) 2\/3 (c) 0.5 (d) 59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2230 + 2230. Solve 3*h = i + 1, -2*i - 4*h + h - 2 = c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 23*d + 37. Let x be q(-21). Let g be (-2 + 0 - 0) + x. Let b be -2 - (4\/28 - (-155)\/g). Calculate the greatest common factor of 40 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 132, 0, 3, -83?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23958\/968)\/(9\/8)*20\/22.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 13*n + 6. Let g(l) = -4*l + 3*l + 2*l - 8. Let o be g(10). Solve -n*w + 8 = -o*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 1721374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*g + 35 = 0, 2 - 7 = s - 3*g. Suppose s*d + 58 = 166. Suppose 2*w - 7 = d. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.7 plus -0.014?\nAnswer: -9.714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*o - 2*o**4 - 48*o + 2 + 0 - 35*o as f*o**4 + k*o**3 + t + s*o**2 + b*o and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51)*1*1)\/(-4*-2*sqrt(3) + sqrt(3) + sqrt(3)) + -1 + 5 + 0 + sqrt(17) + 4)**2.\nAnswer: 88*sqrt(17)\/5 + 8457\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2046\/259 + -28\/37. Which is smaller: c or 8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**5\/510 - 49*m**4\/51 - 9604*m**3\/51 - 932*m**2. Factor q(x).\nAnswer: -2*(x + 98)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30954 and 704?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2880101804.\nAnswer: 2, 720025451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (7 + 102\/(-12))\/(6\/(-572))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1967 + -1933. What is the remainder when 3841 is divided by j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -212 + 211. Let t be 20\/(-16)*(-68)\/w. Is t greater than -85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 b when two letters picked without replacement from blblblbljbbbbb.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7279 + -7162. Which is the second smallest value? (a) 1\/4 (b) g (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -742 and 4.\nAnswer: -2968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d*o**4 - 3*d*o**3 + 866*d*o + d - 9390 with respect to o.\nAnswer: -8*d*o**3 - 9*d*o**2 + 866*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*r + 1332 - 240 = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + j - 6 = -2*d, 4*d - 8 = j. Let n be (-18)\/j*22\/(-33). Let x be -6 - n\/1 - -24. Solve 0 = -a + 3, -2*q - x = q - 4*a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1510 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 831 + -828. Let j(t) be the first derivative of 0*t**4 - 3\/5*t**5 + 1\/2*t**2 + 9 + 0*t**c + 0*t. Find the second derivative of j(p) wrt p.\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(4\/(-24)*6). Let d(v) be the second derivative of 0*v**3 + 7*v - 3\/4*v**4 + b*v**2 - 1\/20*v**5 + 0. Find the third derivative of d(o) wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -17422920?\nAnswer: -17422920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 12 (c) -1\/191\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/5, -1, 724?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*f**3*h**3*r + 6*f**3*h**3 + 3*f**3*r**2 - f**2*h**3 + 2126*f**2*r + 2*h*r**2 wrt f.\nAnswer: 24*h**3*r + 36*h**3 + 18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-9))\/(13\/(1092\/(-154)))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -25\/3, -0.4, -3\/8, -0.04, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 6*z**2 - z. Let t be h(-3). Let n = t - 229\/4. Which is the closest to -2? (a) n (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 20*q**3 - 76*q**2 + 88*q - 32 = 0?\nAnswer: 4\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 2*g - 2, 2*g - 10 = 2*n - 2*g. Suppose 0 = -n*q + 3*w + 24, -q = 2*q + 4*w - 52. Suppose -99 = x - q*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 70. Let b = c - -58.44. Round b to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*w - 68*w - 6205 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 53*m + 53*m = 109*m + 155, -q - 9*m = -68 for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/7*k**5 + 0 + 12\/7*k**4 - 48\/7*k**2 + 16\/7*k + 4*k**3 = 0.\nAnswer: -2, 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2 + 16*b + 9. Let a(k) = 7*k - 32. Let j be ((-5)\/(-10))\/(2 - 23\/12). Let c be a(j). Calculate the common denominator of 3\/17 and o(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 5*b**3 + 78115*b**2 + 3429800*b + 37701180 = 0.\nAnswer: -15579, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - m = -5463, m + 14102 + 2319 = -3*z. What is the closest to 1 in 0.1, 4, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1470 and -0.47.\nAnswer: 690.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 453\/49 + 1222\/441. Let t = 20\/63 + q. Find the common denominator of t and 40\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2194*p + 187. What are the prime factors of u(-2)?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 18*h - 10. Let q be y(-3). Let i = q + 443. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 + -38. Let z = x - -1. Solve -3*c + f = 5, -3*f - f - z = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 440 and 155760.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6334 less than or equal to -6361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5933985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-8)*3)\/((-33)\/22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d (base 14) in base 7?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -988 - -988.5. What is the nearest to 45 in d, 3, 0.4, -1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2*m**2)*(-m - 22*m - m)*(-4 + 4 + 1) to the form b*m + y + c*m**3 + x*m**2 and give c.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 384*p**2 - 136*p**2 - 130*p**2 + 57*p**2.\nAnswer: 175*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + p = -15462 - 2807, -p - 24358 = -4*d. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365906 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 + 146*l - 1972. Give t(20).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/3)\/((3\/(-4))\/((-1383)\/4610))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61833, -123634, -185421, -247188, -308929, -370638?\nAnswer: -432309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27\/22 in -0.07, 0, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5256.9394 + -5258. Let o = -0.0606 - v. What is the closest to -0.9 in 5, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 16521 = -3*s, 6*s - 22009 = 2*s - 5*w. What are the prime factors of s?\nAnswer: 2, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -34cea - -5?\nAnswer: -34ce5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*t**4 - 10*t**4 + 74*t**3 - 81*t**3 + 2*t as y + i*t + p*t**3 + a*t**4 + g*t**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 0*y**2 - 2*y**2)*(-6100 + 401*y**2 + 6100) + (-6*y**4 + 2*y**4 + 2*y**4)*(2 - 1 - 2).\nAnswer: -1602*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -864*w**3*z**2 + 3240*w**3 + 4*w**2 + 2*w + 51*z - 2 wrt z.\nAnswer: -1728*w**3*z + 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r**2 - r - 17*r**2 + r**3 + 5*r**2 + 1 + r**2. What is k(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewkwj. What is prob of sequence ejk?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-12)*-4*3. Let s(n) = 6*n**2 - 3*n + 1. Let h be s(z). Suppose 3*k - 9 = 0, 2*k - 289 = -5*p + h*k. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -632*n**2 - 1488 - 1938013*n + 1938013*n wrt n.\nAnswer: -1264*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4012 - 225. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 158?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/17 in 1\/36, 3, -1\/2, 0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -133967 less than -133992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3 - 2*x + 2*x - 4*x. Let d be 12\/(-30) + 17\/5. Suppose d*m - 9 = -0*m. What is a(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.991 and -3.16.\nAnswer: 22.09156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -180 in -0.3, -3, 1\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4888413.\nAnswer: 3, 543157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*d = 0, 16 = -5*f - 5*d + 61. Let k be f + (2 + 0 - 4). Solve -k*b - 14 = 6 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 4 + 4)*(2 + 6 - 4)*(4*p**2 - p**3 - 4*p**2).\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t - 3. Let w(n) = n**2 - 4*n - 3. Let a(x) = -u(x) + w(x). Give a(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 - 152\/16)\/((-28)\/(-4) - 1). Which is the second biggest value? (a) 3\/7 (b) -12 (c) i (d) 0.4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 14 = r, 31*c = -r + 34*c + 11 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4\/5 - 5286*k**3 = 0. What is k?\nAnswer: 0, 13215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 11. Let x be v(-3). Is 3154\/12 + x\/48 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421*o = 426*o - 20, 3*o - 11 = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 17*d**2 - 4*d**2 - 11*d**2. Let u(q) be the third derivative of -q**2 + 0 + 0*q**3 - 7\/24*q**4 + 0*q. Calculate s(u(l)).\nAnswer: 98*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -109 - -356. Let v = y + -246.6. Let p = -0.2 + -0.3. Which is the fourth biggest value? (a) p (b) -2 (c) -3 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17 + 17 + 7*h + (2 + 6*h - 2)*(-3 - 1 + 3) - 2*h - 2*h + h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 9:58 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -52, -211, -476, -847, -1324?\n\"Answer: -53*c**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8267471 centuries to millennia.\nAnswer: 0.08267471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.845 (b) 0 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**6\/f**(1\/5))\/((f**(-8\/5)\/f)\/(f*f\/(f**(1\/17)\/f))))**(-1\/31))**24 assuming f is positive.\nAnswer: f**(-23136\/2635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((1 + sqrt(80))*2 - sqrt(80))*6)**2.\nAnswer: 14400*sqrt(5) + 75600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 11 = -7. Let q(y) = -y**2 + y - 1. Let w(g) = g**3 + 15*g**2 - 8*g + 5. Let s(l) = u*q(l) + w(l). Does 15 divide s(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s - 2*s)*(4*s - 4*s + 2*s**3) + 3*s**4 - 4*s**4 + 0*s**4 + 60*s**4 - 347*s**4 - 590*s**4.\nAnswer: -882*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 10:23 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 5:47 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1. Let t = -0.44 - 0.56. Which is the smallest value? (a) z (b) -3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116.29ng to milligrams.\nAnswer: 0.00011629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 2 - 2322*s + 2235*s)*(14 - 5*s - 14).\nAnswer: 435*s**2 - 40*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 37*z**2 + 8*z - 512. Let i(h) = 105*h**2 + 23*h - 1535. Determine -6*i(n) + 17*l(n).\nAnswer: -n**2 - 2*n + 506","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, h: 2, u: 4, w: 2}. What is prob of sequence auuw?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -87.6 not equal to -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 70.6 and -1069 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -836, -832, -828, -824, -820, -816?\n\"Answer: 4*k - 840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 1\/20*f**6 - 1\/140*f**7 - 1\/10*f**5 + 0*f**3 + 0*f + 0*f**4 + 4*f**2 + 0. Let z(n) = 0. Calculate n.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1457 is divided by 106.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*i - 5*x = -72, 219 = -4*i - 3*x. Let y = -54 - i. Solve -y + 1 = 2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 1 = -i, 5*i + 32 = 3*j + 147. Suppose -3*n = -b - 6*n + 26, i = b - 2*n. Solve -b = g - 5*u, -3*g + 7 = -0*g + 2*u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1188 divided by -132\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5710 = 7*t + 1678. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 at least as big as 237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**2 + 7*q**2 - q**2 + (-3*q**2 + 0*q**2 + 7*q**2)*(-4 + 0 - 1) + 2*q**2 + 0*q**2 - 3*q**2 + (-3 - 2*q + 3)*(2*q - 2 + 2) - 2*q**2 + 50 - 50.\nAnswer: -25*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 6*g**2 + 8*g + 6. Suppose 12*z = 2*z + 40. Suppose 180 = -2*t - 0*t - z*p, 0 = t - p + 84. Let j = -93 - t. What is h(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 27. Suppose 4*y = 2*l + 10, f*l - y + 2 - 13 = 0. Solve l*g + 4 = -b - 7, 4*g = 2*b - 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-336)\/(-288))\/((-1)\/6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -2. Let m be ((-1)\/n)\/(3*1). What is the nearest to 2 in -5, m, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -6 = -161\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6188.249 litres in millilitres?\nAnswer: 6188249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.11099 and 0.14.\nAnswer: 0.02901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3468.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -352504314 (base 6) to base 12.\nAnswer: -224b09a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 4. Determine i(16).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 3:48 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*w + 10, 4*i + 4 = 5*i - 2*w. Suppose -i*o = 14 - 6. Let n be (o + 7)*(5 + 0). Solve -3*g = -n, -6*j - g = -2*j - 17 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/40 of a kilometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -40293, -0.019?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53956 is divided by 1148.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 divided by -502184?\nAnswer: -253\/502184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 973566 or -3\/4?\nAnswer: 973566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-9*20\/(-864))\/2.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.060953434 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2. Let d(b) be the second derivative of 7*b**4\/12 - 4*b. What is d(y(a))?\nAnswer: 7*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 - 17552*c**2 - 19446164*c - 419363032.\nAnswer: -4*(c + 22)*(c + 2183)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 2*q - 57. Suppose -3*s + 0*s = 9, 0 = -5*j - 4*s - 2. Suppose -3*l + j*l = -q. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 11. Let i = -9 + 17. What is the lowest common multiple of d and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 883881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**4 + 630*y**3 + 109630*y**2 - 333270*y + 223012 = 0.\nAnswer: -127, 1, 2, 439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, b: 1, w: 2, g: 1}. What is prob of picking 1 g and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2617 is divided by 90.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*n - 31 = 0, -o + 19 = -4*o - 2*n. Let j = 9 + o. Suppose -j*b + 0*k = 3*k - 19, 3*b + 5*k - 26 = 0. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19278?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.864824 weeks in nanoseconds?\nAnswer: 3547045555200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -900*n**2 - 2853*n**2 + 479*n**2.\nAnswer: -3274*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(-6*sqrt(10)*2))**2 + 2 - (((sqrt(280) - (sqrt(280)*2 - sqrt(280) - sqrt(280)))\/sqrt(7))\/sqrt(8)*2)**2.\nAnswer: -2587\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 0.4 (c) 2\/371 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ouo when three letters picked without replacement from {o: 3, u: 8}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5015 - -60?\nAnswer: 5105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + -2 + -15 + 28?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23803, -23801, -23797, -23791?\nAnswer: -23783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 5*u**2 + 7*u - 2. Let s be x(6). Suppose 4*b = 4*a - 8, 0*a - 5*a + s = b. Let g be a\/(-3) + 4\/12. Solve 0 = -o - g + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -233211 (base 5) in base 16?\nAnswer: -216c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((48\/(-2))\/168)\/((-36)\/714)?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2651010?\nAnswer: 2, 3, 5, 97, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*d**3 - 74232*d**2 + 1045*d - 4074?\nAnswer: 168*d - 148464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 13*x**2 - 15*x - 104. Calculate f(-10).\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -877 - -8769\/10. What is the closest to -0.1 in 0.04, 1\/4, o, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 797 divide 3782664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k + 12. Suppose -5*p = -2*r + 15, -r = 3*p - 8*p - 15. Let w be h(r). Calculate the greatest common divisor of 84 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-6))\/(2\/2) + 4. Suppose -p - 29 = 8*b. Let g be 2 - (3\/(9\/(-6)) - b). Solve -s + 3*m - 8 = g, 5*m - 16 = 3*s - 2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (136\/6)\/1*18\/(-7*164\/287).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00117406424 to 7 decimal places.\nAnswer: -0.0011741","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 11:41 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*x - 3*x + 0*x)*(-16*x - 1 + 7*x + 12*x).\nAnswer: 36*x**2 - 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 7 = 5*g, 2*h - 73*g = -75*g - 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5599 and 2387?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2465374?\nAnswer: 2, 17, 59, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -c - 5*f, 3*c + 3*f = 4*c - 3. Let y(d) = d + 1. Let v be y(c). Suppose -6 = v*l - 22. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -i**6\/6 + 3*i**5\/4 + 5*i**4\/3 - 10*i**3 - 235*i - 17. Let b(r) be the first derivative of u(r). Suppose b(c) = 0. What is c?\nAnswer: -2, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 271285?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -1 - 2*y - 5*y**2 + 0*y**2 + y**3 + 8*y**2. Determine l(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-2))\/((-1)\/(-2)). Let d(p) = -1 + 2*p + 0*p - 44*p**3 - p**2 + 178*p**3 + 71*p**3. Is d(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2 + 1 - 20219*o.\nAnswer: -20219*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5338 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 14 = 3*j, -3*f - 7 - 15 = -4*j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 10) to base 5\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 - 15*b + 12. Determine c(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 593*c**2 + 20758*c + 122. What is i(-35)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 12:44 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 633073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14680171?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 1. Suppose 0 = -8*m - 9 + 41. Let r(k) = k + m - 3*k - 3*k. Give r(q) - 4*t(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = h. Suppose 3*f - 210 = -3*z, -4*z + h*f = 2*f - 272. Calculate the remainder when z is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*(-18*2)\/(((-255)\/15)\/17)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5890656 or -5890650?\nAnswer: -5890650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/10*-7*925\/370?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 - 55 - (11 + -3 - 0).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*g - 19 = -4*f, 11 = 4*f + g. Suppose 34 = -f*y + 5*a, 0 = -3*y + a - 5*a - 16. Is y < -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 221333 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4330, 4325, 4316, 4303?\nAnswer: 4286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - j - 23. Calculate m(10).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2552 and 6018254?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -3. Let f(p) = -1 - p**h - 4 + 9*p - p**2. Let z(w) = w**2 - 5*w + 3. Let x(u) = -3*f(u) - 5*z(u). Find the second derivative of x(m) wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**(-2\/7)\/k))\/k)\/(k\/(k\/k**4))*(k**(-1)*k)**(6\/25))**(-24) assuming k is positive.\nAnswer: k**(456\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1771.\nAnswer: 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**3 - 1293*c**2 + 1296*c = 0.\nAnswer: -432, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in -0.3, -3, 911?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112464 is divided by 56185.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 3 - 1 - (5 + (-27 - -28)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 16\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 7*j - 6 = 0. Suppose 2*l + j*l = 25. Suppose l*r - r = 76. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*b = z - 82*b + 4, 5*z + 2*b = -27 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -99507860 to the nearest 1000000.\nAnswer: -100000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**3 - 8*d**2 - 35*d - 787. What is a(0)?\nAnswer: -787","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -86, -7, -5, -9 in increasing order.\nAnswer: -86, -9, -7, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53*i + 112 + 244*i + 157 + 105*i + 98 wrt i.\nAnswer: 296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43695 is divided by 190.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-4)*-5*14\/70. Which is the closest to i? (a) 1\/4 (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -1\/3*d**5 + 5\/8*d**4 + 0*d**3 + 0 + 0*d - 27*d**2 + 1\/24*d**6. Determine j so that i(j) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**1*m)**(-17)\/((m\/m**(5\/4))\/(m**(-4\/9)*m*m*m)))\/(m**8*m*m**10)**(-1) assuming m is positive.\nAnswer: m**(173\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -997.066 - -1001. Round y to 1 dp.\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 7*j**2 + 3*j + 20. Let a be y(6). What is the third smallest value in -3, 3, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 12. Let p(h) be the second derivative of -h**5\/20 + h**4\/3 + h**3 - h**2\/2 - 203*h. Let y be p(i). Solve 0 = -y*w + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 9*f**2 + 53*f - 107. What are the prime factors of h(-17)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2756078, -2756076, -2756074, -2756072, -2756070, -2756068?\nAnswer: -2756066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 28, 0.1, -3\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2201\/165 + 1\/165. Which is the second smallest value? (a) -0.4 (b) 5 (c) f (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 - -63. Let i = 37 + -33. Suppose -c - i*c = -b. Solve 9*s - c*s - 5 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(425)*-6 - ((sqrt(425) - (-1*(sqrt(425) + (sqrt(425)*1 - sqrt(425))) + sqrt(425)))**2 - sqrt(425)) - (2 + 3*1*sqrt(425))**2.\nAnswer: -4254 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -692100984 divided by 3288.\nAnswer: -210493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 + 1401*x - 1404.\nAnswer: 3*(x - 1)*(x + 468)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 323*u - 1 + 76*u.\nAnswer: -247*u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48495.55 days to milliseconds.\nAnswer: 4190015520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 8:55 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -5, -1\/9, 2 in ascending order.\nAnswer: -33, -5, -1\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-180)\/(-150)*12\/9?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -61070 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1069 - 943 = 3*a. What are the prime factors of (a\/9)\/(-7) + 4823\/3?\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 + d**2 - d**2 + (0 - d + 0)*(1 - 1 + d**2) + d**3 + 0*d**3 + d**3 + (-1134 + 1134 - 47*d**2)*(1 + 2*d - 1).\nAnswer: -92*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4 + (6*sqrt(32)*2 - ((sqrt(98) + 1)**2 + 5)).\nAnswer: -108 + 34*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 68 - 117. Let i = -80 - l. Let b = i + 41. Solve n + 4*n - b = -4*d, -5*n + 10 = -4*d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**4\/2 + 28581*y**3 + 135888048*y**2 - 2454337536*y + 4364894208 = 0.\nAnswer: -9536, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31.5 - -32. Which is the third biggest value? (a) 2 (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -1438*q - 255964. What is o(-178)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t. Let q(s) = -s**2 - s + 1. Let b(i) = -3*i**2 - 5*i + 5. Let x(j) = b(j) - 5*q(j). What is x(w(l))?\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*j*l**5 - j*l**4 - 515*j*l**2 + l**3 wrt l.\nAnswer: -1080*j*l**2 - 24*j*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5345162?\nAnswer: 2, 89, 30029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 - -13. Does 29 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 108004105 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8023, 8429, 9545, 11731, 15347, 20753, 28309?\n\"Answer: 60*a**3 - 5*a**2 + a + 7967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -305 - -304.39204. What is j rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 4*n + 32. Suppose 4*b = 6*b - n. Suppose 4*t + b*j = t + 87, -4*t + 116 = 2*j. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (47 - 14) - -42 - (-2 - -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1*1)\/(9\/(-54)). Solve 0 = 3*w + s, 3*u + 22 = -2*u - w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95631404.\nAnswer: 2, 11, 31, 70111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 79? (a) 0.3 (b) -1 (c) -0.4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.98437371 rounded to three decimal places?\nAnswer: 9.984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 8 (b) 2 (c) -1 (d) -319 (e) -14 (f) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/15 and (29 + -2 + -1)*(-56)\/480.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/(-189)*2\/(-2)*1*21?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**3 + 2*d**2 + 4*d - 10. Let i be a(-5). Find the common denominator of -53\/9 and i\/60 + (-8)\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - s + 5. Give z(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74 - 70. Suppose -k + o + 3 = -4, 0 = y*o + 8. Solve 35 = -5*c + k*s, 20 = -0*c - 2*c + 4*s for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7*x + 464. Let k(l) = 8*l + 543. Let f(s) = 7*h(s) - 6*k(s). Suppose -3*q + 10 + 2 = 0. Give f(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5234 = -409*q - 8736 - 9177 for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 468*s**4 - 968*s**2 - 6*s - 2. Let z(v) = 470*v**4 - 970*v**2 - 9*v - 3. Let p(y) = -3*b(y) + 2*z(y). Find the third derivative of p(t) wrt t.\nAnswer: -11136*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*r - 3*r**2 - 2*r**2 - 21*r + 19*r.\nAnswer: -5*r**2 - 35*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -18.1. Let k = 11 - l. What is the closest to k in 3\/7, -4, 4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, f: 1, a: 1, y: 2, m: 9, c: 1}. What is prob of picking 1 y, 1 f, and 2 m?\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-12))\/(3114\/220056)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbpabbbbb. What is prob of sequence bpba?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2340 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10, z: 2, d: 2, k: 1, f: 1}. What is prob of sequence fhz?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 566 divide 4728703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -811, -3360, -7649, -13714, -21591, -31316, -42925, -56454?\n\"Answer: -6*m**3 - 834*m**2 - 5*m + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in 1\/33, 1\/3, 2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -49 times 12.64526\nAnswer: -619.61774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 100545?\nAnswer: 100540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 507 (base 16) to base 2\nAnswer: 10100000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 2811588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d - 3 = -v, -26 = d + 3*v. Sort d, -5\/6, -0.012, 4\/9.\nAnswer: d, -5\/6, -0.012, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35849 times -0.1005?\nAnswer: 3602.8245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -35*o**2 - 2*o. Let u(l) = 44499*l. Determine u(f(k)).\nAnswer: -1557465*k**2 - 88998*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1399, 1, 0, -1, -405 in descending order.\nAnswer: 1, 0, -1, -405, -1399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 - 138*q - 288.\nAnswer: 3*(q - 48)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 18*b - 26 + 68 - 24 + 18*b.\nAnswer: 36*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-70 + 68)*-210347*4\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**3 - 3*v**2 + 5. Let k(i) = -4*i**3 + 4*i**2 - 6. Let q(t) = 4*k(t) + 5*s(t). Suppose -639*a = -910*a + 542. Give q(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 331704 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-588842)\/(-210) - 4\/(-30)) + (-5)\/35?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, 8, 7, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -234157500 rounded to the nearest one million?\nAnswer: -234000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09*59954678.\nAnswer: 5395921.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*h*h**(-2\/3))*h**(-9\/5)*h*h)**46 assuming h is positive.\nAnswer: h**(598\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1084 = 4*f - 0*v - 4*v, 0 = 4*f + v - 1094. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 2\/4871, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 7703*h + 39954*h - 32195*h.\nAnswer: 56*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.73 - -3.27. What is the smallest value in -1\/3, -8, o?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2. Suppose f - 2*f = -4*z - 19, 3*f - z - 13 = 0. Let p(l) = f*l - 4*l - l. What is p(w(v))?\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 4*q**2 - 5*q - 7. Give p(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + ((-156)\/(-16))\/3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/2)\/(1\/(-42)). Let p = t + -13. Let q = p + -5. What is the smallest common multiple of 7 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 5553?\nAnswer: 5550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 13. Let d be s(10). Let v be d - (0 + -3 - -6). Suppose -4*c + v*c = -44. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 32 = 3*u + 6*j, 2*u = 2*j - 2. Suppose 43 - 887 = -u*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*h - 17, -4*h = -m - 7 + 20. Let g(u) = u + 10. Let n be g(m). Let l(v) = -v + 3*v**3 - 4*v**3 + 0*v**2 + 3*v**2 + 2*v + 1. Determine l(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1135375?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-10))\/((-2)\/5). Suppose 35 = 2*f + m*f. Let g = 8931 - 8896. Calculate the greatest common divisor of f and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3)*w\/w**10)\/(w**(-1\/2)*w**5) assuming w is positive.\nAnswer: w**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n**3 - 21*n**2 + 59*n + 704. Determine c(-10).\nAnswer: 5014","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 529927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1832 - -1?\nAnswer: 1833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -55 and 20597.\nAnswer: -1132835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*w*x**4 - 578*w*x**2 - 6441*w - 4*x**4 - 2 wrt x.\nAnswer: 8*w*x**3 - 1156*w*x - 16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1 + 2*c**2 - 3*c**2 - 7*c**3 - 1 wrt c?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-22)\/132)\/((-2)\/18))\/((-14)\/(364\/143))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 2*t + 5*c + 31, -t - 1 = -c. Calculate the remainder when t\/(-12)*9 + 22 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 185.6129 milligrams in kilograms?\nAnswer: 0.0001856129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.15 and 528.\nAnswer: 79.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121, -449, -1175, -2497, -4613, -7721, -12019, -17705?\nAnswer: -24977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(2\/39))\/m*m*m\/m**(-10))\/(m**(-14)*m*m\/(m*(((m\/(m\/m**(-11\/5))*m)\/m*m)\/m)\/m*m)) assuming m is positive.\nAnswer: m**(4456\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -2 + -2 + (-45)\/(-6).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*k**4 - 48526*k**3 - 336*k**2 + 14568*k - 1.\nAnswer: -480*k - 291156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/(-27))\/((-2)\/(-33)). Suppose f + 5*u + 0*u + 13 = 0, -p = f + 4*u. Let w be 1*-1 + (-6 - f). Is w < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 - 140573 - 6*o**2 + 281147 - 140574.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 334465 and 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12247*s + 12247*s + 1 + s**2.\nAnswer: s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -150 - -386. Calculate the remainder when g is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2. Let f(a) = 294557324*a**2. Give f(v(y)).\nAnswer: 2651015916*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42492375 is divided by 503.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 12.22 * -16069.8\nAnswer: -196372.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7885889?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 7*z**2 + 6*z + 6. Let g be x(-6). Suppose g = -m + 3*m. Find the third derivative of 13*h**3 + 15*h**2 - 33*h**m + 18*h**3 wrt h.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 4944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**3 + 0*i**3 + 3*i**3)*(-5*i + 0 + 0) + (-16*i**2 - 2*i + 2*i**2 - 19*i**2)*(-i**2 + 2*i**2 - 3*i**2).\nAnswer: 71*i**4 + 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 1440*c + 19768.\nAnswer: 2*(c - 706)*(c - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 93, 139, 185?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-12) + (-1172)\/(-24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(1216) + 2 + sqrt(1216) - sqrt(1216)) - (-1 + -1*sqrt(1216))) + -5)**2.\nAnswer: -160*sqrt(19) + 4889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8696 and 24?\nAnswer: 26088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2295 - -2292. Let l(d) = -1 + 2*d + d**2 + 2 + 3. Calculate l(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6048163 a multiple of 282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434*o**5 + 9514*o**4\/3 + 7744*o**3 - 44312*o**2 + 38560*o\/3 - 256 = 0. Calculate o.\nAnswer: -4, 2\/93, 2\/7, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3833, 7142, 9911, 12134, 13805, 14918?\nAnswer: 15467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 9:45 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -646*c = -555*c - 728. Solve c*i = 20*i + 60 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -12*v - 18. Let z be o(-6). Suppose 0 = q + 5*q - z. Suppose -2*t = -5*t + q. Solve -4 - 12 = y + 3*i, -t*y - 2*i = 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 51 - 651 = 0. Find the third derivative of 107*r**5 + r - 4*r**2 - 10*r**2 - y*r**5 wrt r.\nAnswer: 3180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in 14\/11, -953, 1\/5, -0.1?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 209 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-21)\/(-30)*-4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1244317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2189858 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*l = 2 + 4, -5*o + 3*l - 26 = 0. Let k = 183\/4 - 46. Let r = -46.6 + 47. What is the nearest to k in o, r, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.047 + -11.253. Let y = k - -11.4. Let o(x) = -x**2 - 10*x - 5. Let i be o(-9). What is the third biggest value in -0.7, i, y?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9931 divided by -247\nAnswer: -9931\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/((-14)\/(-4)) + 47. Calculate the greatest common divisor of q and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y + 427 + 547 + 7*y + 182 - 17*y as h + l*y and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 16. Suppose -c - 2 = -n - n, 0 = -y*n + 2. What is the second derivative of -f**4 - 79*f + c*f**4 + 70*f wrt f?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1216 - 191 + t**4 + 162 - 79 - 1444*t**2 + t**4 wrt t?\nAnswer: 8*t**3 - 2888*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kdh when three letters picked without replacement from {h: 1, v: 1, d: 7, k: 6}.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 0.2 (b) 2\/9 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 14075?\nAnswer: 14075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2416.1887 - 2415. Let r = -0.0163 - a. Let k = -1.2 - r. Round k to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -10. Let u = -21 - -23. Suppose -4*n - w + 0 = -u, -5*w = -10. Which is bigger: n or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -8*s**2 + 132*s + 13. Determine h(17).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-437.84454\nAnswer: -438.14454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 + 926*k**3 + 309*k**2.\nAnswer: -k**2*(k - 309)*(3*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.32 * 3.91.\nAnswer: 1.2512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*p**3*r*z**3 - p**3*r*z**2 + 14029*p**3*z**3 + 46*p**2 + 10*p*r*z**2 + 627*p - 3*z**3 wrt z.\nAnswer: 132*p**3*r + 84174*p**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 46, -13, -136, -329, -598, -949?\nAnswer: -1388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -90 + 90. Let r be -5*(0 + (-12)\/10). Solve 4*p + 2 + r = f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 471*k**3 - 2*k**2 + 2*k - 469*k**3 - 2*k.\nAnswer: 2*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14558 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 3*k = -29, 10*w = -15*w - 8*w + 34*w - 4*k + 25 for w.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -2.8. Let u = 0.25 - 0.25. Let t = -0.1355 + 4.1355. What is the closest to -2 in u, a, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -2\/3, 1\/52, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 5:36 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0) + 2 + (-48 - 9) + -6 + 13?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1\/k*k**(1\/5))**(-3\/10) assuming k is positive.\nAnswer: k**(-3\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1562 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2186 divided by -102.\nAnswer: -1093\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 4*i + 336. Let m = -58 - i. Let q be 72\/162*99\/1. What is the highest common divisor of m and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 3*f + 159, -4*t - 90 = 3*f - 3*t - 47 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/24, 1\/2, 467, 1.5, -0.3, 5.\nAnswer: -0.3, 1\/24, 1\/2, 1.5, 5, 467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89.897 - -0.103. Let d = g + -89.7. Let o be (-21)\/(-6)*-2 - -4. What is the nearest to -4 in d, o, 2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, f: 2, h: 3, a: 1}. Give prob of picking 2 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 25 = 3*d. Suppose d*g = 5*o + 115, -4*g + 0*g - 4*o + 76 = 0. What is the remainder when g is divided by (-30)\/4*44\/(-55)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/(-444)*(-321)\/(-52) and -87\/2?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20\/4)\/(1 + 0). Suppose -2*a + 4*o = -2, -18 = 4*a + p*o + 17. Is 13 - -2 - (5 + a) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(4 - (-2 - -4)). Solve -h*x + 7 = -8 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -153 - 1353?\nAnswer: -1550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 + -79 - (5 - 0)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269 = 5*n - 64. Let j = 41 + n. Let q be (-11)\/(-14) + (-2)\/4. Is q > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**2*y**(-1\/9))\/(y**11)**35)**33 assuming y is positive.\nAnswer: y**(-37829\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/20*-1)\/3*158*-1?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 3*s + 26, -2*s = 3*k + 1544 - 1609 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.665904027 + -0.6659. What is f rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, q: 8, w: 2, k: 4, c: 2}. Give prob of picking 1 w and 1 a.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1694 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 y when two letters picked without replacement from kknaadykaakkdyaa?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**4\/24 + 5*r**3\/6 - 2*r**2. Let a be 0\/(5*4\/160*8). Let n be q(a). Solve 0 = -4*l + f - 24, 52 = -5*l + n*f + 7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 167*j + 139. What is c(-1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 224340867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -6*h - 95. Let u = -9 - h. Let s = 506 - 426. What is the greatest common factor of s and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -7.7. Let g = 0.8 + w. Which is the closest to -3\/5? (a) g (b) 1 (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -12*m + 3. What is the tens digit of t(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t - 80 = -13*t. Let h be (-141)\/2*t\/24. What is the third derivative of -h*f**4 + 47*f**4 - 10*f**6 + 3*f**2 wrt f?\nAnswer: -1200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-62)\/4*(14 + 0). Let q(t) = -523*t - 32119. Let v be q(-61). Are d and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573517 is divided by 491.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13821673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -26796000 rounded to the nearest 100000?\nAnswer: -26800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 53443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 129 (b) -17 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 2. Let k = 2.2 + p. Let c(x) = -x**3 - 41*x**2 + 364*x + 222. Let s be c(8). What is the biggest value in s, 3\/4, k, -0.9?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**2 + 2*f**2 + 0*f**2 + (f + 3*f - 6*f)*(f + 0 + 0) + 3*f - 3*f + f**2 - f**2 + 2*f**2 + f**2 + 23*f - 23*f + 13*f**2 - 213 + 213 - 18*f**2.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 3*w + 0 - 1\/4*w**4 - 1\/2*w**2 + 0*w**3. Differentiate v(s) with respect to s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 15*n**2 - 4*n - 4. Let d be u(-1). Solve -4*s + w - 20 = 0, 0*s - 3*s - d = 2*w for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 9718804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-66)*(-28463)\/1634. Let s = 6\/817 + u. Find the common denominator of -47\/8 and s.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 13 + 47*k**2 + 46*k**2 + 5*k + 4*k - 92*k**2. Determine l(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*r - 27*r + 23680505*r**3.\nAnswer: 23680505*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**7\/315 - x**5\/120 + x**4\/24 - x**2. Let d(f) be the second derivative of y(f). What is the units digit of d(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39441234, -78882476, -118323718, -157764960, -197206202?\nAnswer: -236647444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 82*d**2 - 83*d + 244. Calculate the remainder when f(8) is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -3, -0.36, 4, 0.008, 15 in decreasing order.\nAnswer: 22, 15, 4, 0.008, -0.36, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50351518 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239931.\nAnswer: 3, 53, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2234 bigger than 2233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2356 + -2351. Solve -53*i = w*y - 56*i, 0 = -5*i for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -92816*b - 126?\nAnswer: -92816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -157158 or -157159?\nAnswer: -157159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 + 0.6. Let f = -1.179936 - 0.020064. Suppose -2*x + h - 5 = 0, -5 = -x - 4*h + 15. What is the closest to f in x, 2\/7, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 941072.7 rounded to the nearest one thousand?\nAnswer: 941000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -12, 3, -1 in ascending order.\nAnswer: -12, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -46. Suppose 2*f = -0*f + z. Suppose 30*v + 16*v - 1562 + 412 = 0. Calculate the remainder when v is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 465 - 95. What is the highest common divisor of o and 518?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 2 - -5) + -2. Suppose -3*p - 29 = -4*s, 4*p + 21 = q*p + 3*s. Let r(t) = -11*t - t**3 + 3 + 22*t - 3*t**2 - 10*t. Calculate r(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -2*t**2 - 2\/3*t**3 - 3*t - 1\/12*t**4 - 2. Let x(z) be the first derivative of g(z). Factor x(p).\nAnswer: -(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13799 is divided by 107.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + ((sqrt(1539) - sqrt(1539)*1)*-6 + sqrt(1539))**2 + sqrt(1539) - (sqrt(1539) - (-1*sqrt(1539) + 3))) + -1.\nAnswer: 1541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 8:02 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 16*k + 9 = 15*k, 5*m = -4*k + 29. Let y = 0.52 - 0.02. Which is the nearest to 1\/4? (a) -1 (b) m (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10070\/35 + 2\/7. Suppose 5*v - c = 2*v. Let j(h) = -2*h - 96 + v. Let g(r) = 2*r. Calculate j(g(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -0.1 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 143312 divided by 1378?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 906.3245 days to nanoseconds.\nAnswer: 78306436800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10.4, -2\/13, -2\/3, 2290, 2\/9, 3\/8?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {w: 2, v: 6, y: 4}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -34076000 rounded to the nearest 100000?\nAnswer: -34100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3837707 and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 1\/6, 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -97*t**6 + 3*t**5 + 305*t**3 + 863*t**2 - 3*t - 12 wrt t.\nAnswer: -11640*t**3 + 180*t**2 + 1830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 1 + n**2 + 3 - 5 + 0*n + 2*n. Calculate the remainder when 2 is divided by r(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1584) - (sqrt(1584) - -1*sqrt(1584))*-4 - (sqrt(1584) + 3 + (sqrt(1584) + 2 - sqrt(1584)))) + -5.\nAnswer: -10 + 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1176)\/15)\/28)\/((-7)\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -101709766\/15 or -6780651?\nAnswer: -6780651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c + 2*c + 4*c**2 + (4*c - 2*c + 2*c)*(-4*c + 42 - 44 - 18*c).\nAnswer: -84*c**2 - 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 14. Calculate the highest common divisor of 16 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 49*w**2 - 3*w - 5. Let j be (21\/(-28))\/((-3)\/24*2). Let l(d) = -24*d**2 + 2*d + 3. Let a(c) = j*r(c) + 5*l(c). List the prime factors of a(2).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 31*y - 29*y, -5*m - 4*y - 3 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzk when three letters picked without replacement from {k: 4, y: 1, x: 2, z: 1, d: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 661 divided by 4.\nAnswer: 661\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 16 = -f + p, f = p - 4. Suppose 0 = -2*d - g - 166, f*d + g = d + 77. Suppose -320 = -10*y + 14*y. Is d smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*-1*-6*6)\/((sqrt(10) - -1*sqrt(40)) + sqrt(10) + sqrt(10) + (2*sqrt(110) - sqrt(110))\/sqrt(11)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -457984.400721 - 5.499279. Let k = y + 458008.90009. Let g = 19 - k. Round g to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*l + 78*l = 0. Let c be 0 + 0\/2 + 1. Suppose -w + u - c = 0, -u = -l*u - 3. What is the remainder when 8 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.89 - -4.89. What is the nearest to -2 in y, 0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = a - 3*n, -n = 2*n - 3. Suppose 3*m + a*m + 4*i - 369 = 0, 2*m = 3*i + 166. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2331395201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 219 - 63. Suppose -z + p = -4*s, 4*s - 683 = -5*z + 25. What is the smallest common multiple of z and 4?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2))**(12\/5))**(36\/5) assuming o is positive.\nAnswer: o**(-864\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -11*s**2 - 6. Let j(m) = -45*m**2 - 25. Let l be (2760\/(-50))\/(9\/30). Let p = -178 - l. Determine p*j(c) - 25*x(c).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 5*m = -m + 10, -5*s - 4*m - 18 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 35 = 3. Let l = m + -6. Suppose l*v + 2*v = 20. Solve -2*s - s - 3 = 0, -v*w - 5*s + 20 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 9:42 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(((d*d**4*d)\/d)\/d))\/d**(-2)*(d*d\/d**0*d*d)**(-7))**18 assuming d is positive.\nAnswer: d**(-522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 77 + 6\/((-3)\/(-1)). What is the remainder when f - -8*1\/2 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4) - 5\/(-20). What is the second biggest value in -3\/2, 0.3, n, 0.13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-10057\nAnswer: -1005.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -1) + (12 - 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -59 + -7a3?\nAnswer: -80c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -26. What is the closest to -2\/7 in -3, s, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-6))\/((-4)\/12). Let x = -29 - -31. Differentiate 6 - 7*h**x - 4*h**w + 4*h**2 with respect to h.\nAnswer: -14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146449780 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 56046.48 years in decades?\nAnswer: 5604.648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22940 divided by -2\nAnswer: -11470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3730\/7 - 14396\/21. Let g = o - -1183\/6. Find the common denominator of 13\/60 and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3396.051 millilitres to litres.\nAnswer: 3.396051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.9 - 1.9. Let v = y + -5. Sort v, 5, -0.4 in decreasing order.\nAnswer: 5, v, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 14. Let x(s) = -s**2 + 16*s - 25. Let t be x(l). Let v be -4*(1\/2 + -1). Solve 5*b = v*h - 19, 4*b + 7 = -t*h + 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**3 - 2*b**2 + b + 1. Calculate j(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*z + z = 12, -2*p - 4*z + 18 = 0. Let n = -14444 + 3611001\/250. Is p > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -508ad5?\nAnswer: -508ad9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*b + 138 - 42 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4201.\nAnswer: 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.1824 - -3.2824. Which is greater: f or -25.69?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3 + 5*g + 3. Let y(c) be the third derivative of 5 - 2*c**2 + 0*c**4 + 0*c**3 + 0*c + 1\/60*c**5. Determine y(z(f)).\nAnswer: 25*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 + -4 - 4\/2 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2 + 0)*6. Let h(d) = 13*d**2 + 4. Let b be h(s). What is the highest common divisor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 8:16 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11670 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 65770, 1 in decreasing order.\nAnswer: 65770, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, b: 13, p: 1}. Give prob of sequence bp.\nAnswer: 13\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-52)\/91*(-6 + -1). Let y be 1\/(0 - (-2)\/(-4)). Let k = y + a. Solve k*v - 3 = -5*t - 2, -5*v + 14 = t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 7*w**2 - 2*w + 14. Let r(g) = g**2 + 1. Let u(q) = h(q) - 6*r(q). List the prime factors of u(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 12*n**3 + n - 1. Let t be u(1). Suppose p = -4*f + 6*f + t, 32 = 5*p - 3*f. Solve 4*h = 4*b - 0*b, -9 = -p*b + h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*q. Solve c - 1 = -q*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**6\/90 + r**5\/12 - 7*r**4\/24 + 10*r**3 + 25. Let b(g) be the third derivative of j(g). Is b(5) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -28304.\nAnswer: 1\/28304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/(-5) - 4\/(-10). Suppose -h*u + 20 = 3*i, -4*u - 1 + 5 = -i. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 o when four letters picked without replacement from {i: 1, o: 2, s: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 9*n - 261. Let v = n + 584. What are the prime factors of v?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1457*m - 23568 = 23706 + 22273 - 2525 for m.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166543751.\nAnswer: 11, 15140341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 5.5399820736.\nAnswer: 5.3399820736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 7*i**2 - 5*i + 2. Let j be z(2). Suppose 5*f + j = 240. What is the remainder when f is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19374865 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -1 + 9 - 428*t**3 - 5*t**2 + 5*t - 393*t**3. Let o be d(-8). What is o rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 1:44 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 187647055 and 860.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -2 + 32 + -12 + 9 + 1\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 6:28 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4, 0 = -4*h - 4*y - 145 + 133. Let o(i) = -6*i**2 + 5*i - 1. Let f(n) = -7*n**2 + 6*n - 1. What is h*f(g) + 5*o(g)?\nAnswer: -2*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -26992*k**2 - 6640022*k + 2460 = 0.\nAnswer: -246, 5\/13496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 6*k - 1 + 2)*(-2*k + 0 + 0)*(18 + 18 + 7)*(-3 + 2 + 4)*(-1 - 8 + 2).\nAnswer: -3612*k**2 + 1806*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3820632 is divided by 13220?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + 1 - (1070 - 1057)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4345*z + 35342*z + 37275*z + 15968*z + 25161*z.\nAnswer: 118091*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -52*o**3\/3 - 15*o**2\/2 + 2*o + 29. Let y(n) be the first derivative of i(n). Is y(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*x**2 - 25*x + 1 - 27*x**2 + 61*x**2 + x**3 - 72*x - 2 to the form t*x + u + s*x**2 + h*x**3 and give t.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/26, 10, -0.3, 11, -4, -0.1?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 8, n: 3}. Give prob of sequence nqqq.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 9:28 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 3*f - 13 = 4*y, 4*f - 62 = -3*y. Let h = -13 + y. Does 7\/3 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48249 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77.84 + -6.26. Let y = r - -94. Let s = y - 10. Which is the closest to s? (a) 1\/4 (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -18. Let k(o) = -o - 32. Let n(x) = -x + 2. Let q(b) = c*n(b) + k(b). What is the first derivative of q(h) wrt h?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2245*c. Let b(l) = 21*l. Determine b(t(u)).\nAnswer: 47145*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 45.15103 years?\nAnswer: 4.515103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 - (2 - 3))*(-6)\/(-24). Solve i = -y*i - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 - 42 = -5*u + 2*f, 29 = -34*u + 27*u - f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2473 is divided by 57?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((5670\/(-28))\/(-27))\/(35\/14). Let t be ((-9)\/3)\/(3\/2). Sort -4, a, -1, t.\nAnswer: -4, t, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**8\/7 + 5*u**4\/6 - 8*u. What is the third derivative of f(a) wrt a?\nAnswer: -960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4 + 3 + 2*(2*sqrt(1216) + 0 + 4))*-6.\nAnswer: -192*sqrt(19) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1085677, -1085679, -1085681, -1085683?\n\"Answer: -2*o - 1085675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*b**4 + 3638*b**3 + b**2 + 3556554*b?\nAnswer: -672*b + 21828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/221 - 12\/(-78).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(256) - (sqrt(256)*2*5 - sqrt(256))) + (2*sqrt(256) + sqrt(256))*5)\/(sqrt(648)*-4 - (-4*sqrt(648) + sqrt(8))).\nAnswer: -28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74 + 74. Suppose -3*i = -6, 0*k + 2*k = 4*i - 16. What is the second biggest value in k, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 635290378 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8410, -8357, -8322, -8311, -8330, -8385?\n\"Answer: -i**3 - 3*i**2 + 69*i - 8475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17366 and 1828?\nAnswer: 34732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 52, 224, 512, 916, 1436?\n\"Answer: 58*v**2 - 2*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*m - 4*m + 1406 = -1258. Let w = 104 - 48. What is the lowest common multiple of m and w?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-19 - -1)*-1 - 10. Let a(b) = -7*b + 57. Calculate a(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -444270 divided by 44427.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 5:00 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 2*u + 0*u)*(-88*u - 38 + 90*u - 27).\nAnswer: -4*u**2 + 130*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8*(1760\/(-33))\/20)\/(6\/(-387)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6875 + 6876. What is the biggest value in -2\/7, i, -3, -13, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3952.93 and -137.8.\nAnswer: 3815.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -151 + 135. Let j(s) = s**3 + 17*s**2 + 15*s + 20. Let v be j(g). Is 35 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*h - 164 - 126 + 285 to r*h + d and give r.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c + 16. Let l(k) = -k - 6. Let m(y) = -3*f(y) - 8*l(y). Let b(o) = -4*o**2 - 3*o. What is b(w) - 3*m(w)?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 134*w**3 + 102*w**2 wrt w?\nAnswer: 804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -7\/2*u**2 + 1\/12*u**4 + 0*u**3 + 0 + 4*u. Differentiate o(s) with respect to s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iziiztiz?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-70)*-1*5\/(-1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c + 5. Let m(v) = -5*v + 11. Determine -6*m(d) + 13*z(d).\nAnswer: 4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mha when three letters picked without replacement from hma?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 3*k**5\/10 + k**4\/6 - 11*k**3\/6 - 6*k**2. Let c be o(3). Suppose 0 = -2*b - c + 665. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 8776.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 685*l - 688*l + h + 233, -7*h = -0*h - 28 for l.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*a = -15, -140*d + 4*a - 21 = -139*d. Put 0.4, 5\/8, d, 2 in increasing order.\nAnswer: d, 0.4, 5\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*u - 1370 + 1472 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*-1*10\/15*2?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**9\/504 + 7*v**7\/5 + 47*v**5\/60 - 915*v**2. What is the third derivative of w(h) wrt h?\nAnswer: -120*h**3 + 7056*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.516586 rounded to two decimal places?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 13, 18, 23?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 605*k = 756*k + 2718 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/15)\/(4\/36). Sort b, -3, 8.\nAnswer: -3, b, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + v = -8. Let p be v\/(-6) - (-300)\/36. Calculate the highest common factor of 3 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*k - 5*k**2 + 12*k - 41*k to b + a*k**2 + o*k and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 124136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 57. Suppose 4*j - 204 = 5*u - 0*j, 3*j = u + 43. Let l = u - s. Calculate the highest common divisor of 1 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - n - 9 = 5*o, 4*n = 4*o - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/12 + (-11100)\/176. Let h = 63 + y. Let w = -12 + 13. Which is bigger: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from elveyvvevhvvyyevy. Give prob of sequence eye.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-12)\/45)\/(4\/6))\/((-4114)\/1870). Put r, 1\/17, 5, -21 in increasing order.\nAnswer: -21, 1\/17, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -574 - 564 - 290 = -42*b for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u + 7. Let t be m(-4). What is the units digit of (-2 + -27)\/(t\/(-45))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5246733?\nAnswer: 3, 1748911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5124, -5094, -5006, -4830, -4536?\nAnswer: -4094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 47*k**4\/12 - k**2. Let u(f) be the first derivative of -131 + 244 + 372 + 4*f**2 - f**2 - 4*f**2. Determine u(g(m)).\nAnswer: -188*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -10 + (2 + -1 - -4 - 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 2728 + 3156. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a micrometer in nanometers?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1089\/(-1815)*120\/(-414)\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-three sixths of a day?\nAnswer: 10320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19863043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -17*y**2 - 942*y + 8. Let t(m) = 2*m**2 - 1. What is -n(f) - 8*t(f)?\nAnswer: f**2 + 942*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6*t**2 + 3782*t + 106484. What is p(-27)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -8*g**2 - 14*g + 25*g + 2*g**2 + 20*g - 30*g. Let t(d) = -214*d. Give t(b(c)).\nAnswer: 1284*c**2 - 214*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1181 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9272606 and -0.02344.\nAnswer: 9272605.97656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 908 - 737. Let n(s) = 20*s - 1. Let t be (2\/6)\/(1\/3). Let x be n(t). Calculate the greatest common divisor of w and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3128820 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6467.5 + -6467. Put -2, -0.06, 1, 3\/2, z in increasing order.\nAnswer: -2, -0.06, z, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 29*v**2 - 175*v - 117. Give o(20).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 2*w + 1. What is f(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 156033947 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one fifth of a millisecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -19*i + 2. What is w(4)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - 46\/(2\/(-1)). Let q(x) = -9*x**3 + 5*x**2 + 5*x - 5. Let z(y) = 44*y**3 - 24*y**2 - 24*y + 24. Let r = -34562 + 34567. Determine p*q(s) + r*z(s).\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + f = 26, -214*f + 217*f = -5*d + 42. Solve 12 = c - 4*i, 3*c + 3*i + 15 + d = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqr when three letters picked without replacement from rrqqqqr?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001 + -1?\nAnswer: -110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/10)\/f*f**(-3\/8))**(13\/3)*(f\/f**(1\/7))\/(f*f**(1\/4)\/f)*f**0*f**(-2\/3) assuming f is positive.\nAnswer: f**(-5419\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -1\/3*v**3 + 0 + v**2 - 3*v. Let l be p(-6). Calculate the greatest common factor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u - 5 + 5 + 0*u + 2*u - 3*u + 2*u - 3*u - u + (1 - 2 + 0)*(2 - 2 + u) + 0 + 0 + 2*u - 7 - 1 - 46*u + 6 - 14.\nAnswer: -53*u - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 748 and 20438.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**3 + 4*n + 3. Let q be b(-3). Let s be (-2)\/8 - q\/(-24). Suppose 3*i + 5*g + 31 = 0, -3*i - 4*g = -i + 24. Put i, 3, s in decreasing order.\nAnswer: 3, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*n + 11 = 0, 0 - 3 = n. Let z be (-4)\/((-12)\/15) + -1. Suppose -5*o + 20 = 0, 0*g - 8 = z*g - 5*o. Sort g, 0, v in decreasing order.\nAnswer: g, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 + 37. Let r(t) = -3 - 3 - 7*t + 1 + t. Let b(i) = -3*i - 2. Calculate o*r(w) + 5*b(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 164296 to the power of 1\/2, to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/574662 and 17\/261210?\nAnswer: 2873310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.214 + 257898\nAnswer: 257898.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (2 - -3) + -9 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-10)\/(o\/(o**1*o*o)))\/((o*o*o**5*o)\/((o*o**(-7)*o)\/o)))**(-6) assuming o is positive.\nAnswer: o**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 432.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20228 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**3 - 20930841*x**2 - 36508331615184*x + 36508352546028 = 0.\nAnswer: -3488474, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + v = 1 + 7, -2*n - 3*v - 20 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)*-5*-1 + sqrt(28))*-3)\/(-2*(sqrt(100) - (sqrt(100)*2 - sqrt(100) - sqrt(100)))).\nAnswer: 9*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-186)\/(-8) + (-3)\/(-4). Suppose n + 2*n = -z. Suppose -20*a = -17*a + 24. Is a smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**0*c)\/(c\/c**(-4)))\/(c\/(c*c**(1\/2))*c)**(-17)*(c**(-1\/8)\/c*c*c*c**7)\/(c**(-4\/9)*c**4) assuming c is positive.\nAnswer: c**(707\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -716216, -2864858, -6445926, -11459420, -17905340, -25783686?\nAnswer: -35094458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 373*j*n**2 - 15*n**2 with respect to j.\nAnswer: 373*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88145.82 kilometers to meters.\nAnswer: 88145820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 2*z + 3*z)*(-49 + 9 - 3)*(2 - 2 + 6*z).\nAnswer: -1290*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + -75 + -1 + 16?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 7:47 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 14*d**2 + 702*d + 3479. Let a be u(-5). What is the greatest common factor of 377 and a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - x. Let y(w) = -w**2 + 1. Let g(d) = -t(d) + y(d). Let m(z) = -z - 1. Give -g(c) - 3*m(c).\nAnswer: 2*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3\/k**0)\/(k**(-1\/2)*k**(-1\/3)*k) assuming k is positive.\nAnswer: k**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 8:01 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4337?\nAnswer: 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from oesose?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.15302 to two dps.\nAnswer: -20.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108737)\/(-9215) + (0 - 3) + -8 + -1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3\/(-72))\/(5\/(-170)) and 27\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 23 = -5*k. Suppose 3*i + 16 - 55 = 0. Let z = i - k. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 8. What is the third derivative of 4*m**2 - 47*m**3 + 47*m**p + 2*m**6 wrt m?\nAnswer: 240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -192 - 53. Let k = -31 + z. Suppose 0 = 5*p - 4*v - 42, -4*p + 2*v + 12 = -k. Solve 4*m + 5*w = -p + 25, -3*m = -5*w + 12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 8*l**2 + 11*l - 8. What is t(9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4711293 tonnes to nanograms.\nAnswer: 471129300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 14*o**2 - 12*o - 5. Let b be g(13). Suppose -8*s - b - 144 = 0. Let l(i) = 3*i**2 + 20*i + 16. Is l(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + 11. Calculate the highest common divisor of 3 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 4*x + 99. What is m(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2540 - 54?\nAnswer: -2594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.34916 rounded to zero dps?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 19268 and 61.75.\nAnswer: 19329.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 304 and 5624?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16440 is divided by 355.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3, 68, 125, 174, 215, 248, 273?\n\"Answer: -4*y**2 + 77*y - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, b: 4, r: 1, j: 6}. Give prob of picking 1 p, 1 j, and 2 b.\nAnswer: 108\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 6 + (-8 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.015495 millilitres in litres?\nAnswer: 0.001015495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 120*k = -119*k - 3, 12 = 4*q + 4*k. Let z be 7\/5 - 6\/(-10). Determine b, given that q*b**4 + 0 - 1\/6*b**5 + 0*b**z + 1\/6*b**3 + 0*b = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -15. Suppose -f*i = -5*i - 720. Calculate the remainder when i is divided by 28.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r + 16. Let w be i(11). Suppose 5*g - 77 = -w*o - 7, 3*o + 54 = 5*g. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 34 = y, -l - 6 = -3*y + 4*y. Let k = -5 - l. Suppose 5*u - k*c = 0, -4*u - 4*c = c. Is 1 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = -5*d + g, 291*d = 287*d - 3*g + 155. Calculate the remainder when 2042 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 + -50. Let h(g) = 2*g + 4. Let l be h(-3). What are the prime factors of (-1 - (-11 - l))\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - n. Let z(s) = 5*s**2 - 34*s - 112. Let l(i) = 6*y(i) - z(i). Let x be l(-5). Put x, 4, 23 in ascending order.\nAnswer: x, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2 + 1, -179 = -5*r - i. Suppose -5*w - 20 = 120. Let v be 6\/21 + r\/w. Put 3, v, 1 in ascending order.\nAnswer: v, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -618 or -617?\nAnswer: -618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hee when three letters picked without replacement from hhehhhhhhehh?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1533672 divided by -3\nAnswer: -511224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5497, 11028, 16547, 22048, 27525, 32972, 38383, 43752?\nAnswer: 49073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 263*r - 259*r - 464. Let d(x) = -8*x + 8. Let s be d(-7). Let m = r - s. What is the highest common factor of m and 364?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0116953 to 4 decimal places.\nAnswer: -0.0117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6925\/(-10))\/((-9)\/(-1)) + 9\/324*-2.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*n - 123*n + 18001 = 94*n for n.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 4*f**2 - f + 7. What is the units digit of n(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56 divided by 703\nAnswer: -56\/703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 8 - 322. Suppose 261 + 79 = 2*n. Let t = y + n. What is the highest common divisor of t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0314068 to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -4675?\nAnswer: -4700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5811 divide 143706030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 113 - 68. Let b be n\/(-30)*8\/3. Let k(w) = 2*w**2 + w + 3. List the prime factors of k(b).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26924 divided by 3.\nAnswer: -26924\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2971 - 2003. Calculate the greatest common factor of 44 and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -502 - -547. What is the remainder when k is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 4*y + 2. Let n be o(-4). Suppose 944 = -3*p + 7*p - 4*q, -2*p + 480 = n*q. Suppose 4*g - 6*g = -p. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -13*c + 26. Put -35, c, -4 in decreasing order.\nAnswer: c, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 618 = 4*t. Suppose 0 = -2*v - v + t. Suppose 5*w + v = 4*g, -6*w + 3*w - 9 = 0. Calculate the remainder when 63 is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2. Let l(q) = 58*q + 15. Calculate l(d(g)).\nAnswer: -58*g**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/4)\/((-11)\/(-330)). Let u = -7 - r. Suppose 33 = p + u. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + (-2)\/4)*-252. Suppose 8*o + o - k = 0. Suppose -5*r + 69 = 5*d - 6*d, 5*r + 5*d = 75. Calculate the highest common factor of r and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbwllgvbwvlglgglwbw. What is prob of picking 1 b and 1 v?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -r + 240. Let q = r - 85. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttst when four letters picked without replacement from {s: 5, t: 13, f: 2}?\nAnswer: 143\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + 1170648?\nAnswer: 1170653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + -1 - 9655\/(-3))\/((-6)\/(-36))?\nAnswer: 2, 9649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 + s**2. Suppose 5*m - 2*p = 15, 2*m - m - 4*p = 21. Determine k(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**5\/4 + u**4\/4 - 245*u**3\/4 + 475*u**2\/4 + 61*u - 119 = 0.\nAnswer: -17, -1, 1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104.5 + -104. What is the smallest value in -4\/7, -14, v?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 7*p - 4. Determine r(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and -614.34.\nAnswer: -613.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.36 - -0.34. Let r = f - -1.42. Is r smaller than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, j: 2, p: 3, w: 1}. Give prob of sequence jtwj.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 3. Let b be 1 - 3*4\/p. What is the units digit of 1*-10*b\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 33456623 and 7.64101.\nAnswer: 33456630.64101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-12 + 11 - (5 + -15))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 687311760889.1181597459 - 687311760677. Let g = 4.1181581559 - k. Let z = 208 + g. Round z to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 43, 35, 25, 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -21*s - 7. Let m(n) be the third derivative of 7*n**4\/12 + 5*n**3\/6 - n**2. Let o(q) = 5*b(q) + 7*m(q). Is o(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + -2*2 - (-9)\/3. Let y be 324\/(-30) + 3 - (-3)\/(-15). Sort l, -1, y in decreasing order.\nAnswer: -1, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 378*n**2 - 2*n. Let x(v) = -3*v. What is j(x(b))?\nAnswer: 3402*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.561647 centuries in decades?\nAnswer: 15.61647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2971, -5986, -9045, -12148, -15295, -18486, -21721?\nAnswer: -25000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 5*k - 4*j, -2*k + 2*j + 60 = 12. Suppose -u + k = 3*u. Solve -u*c - 1 = -r, 3*c - 12 - 1 = 4*r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 710257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -2\/27 (c) -15 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**2 + 3*v**2 - 2*v**2 - 9915 + 29*v**2 + 9915 + (-3 + 3 - 2)*(-2 + v**2 + 2).\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-8\/3)*l\/(l\/l**(-19\/5))*l*l assuming l is positive.\nAnswer: l**(-67\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*k**2 - 280*k + 14968 wrt k.\nAnswer: 42*k - 280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13205100*-1.\nAnswer: -13205100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -114, -879, -2954, -6993, -13650, -23579, -37434?\n\"Answer: -109*s**3 - s**2 + s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1910*y + 4584. Let l(a) = -6. Determine h(n) + 764*l(n).\nAnswer: 1910*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*v**4 - 127568615*v**3 - 2*v**2 - 166179*v + 20?\nAnswer: 24*v**2 - 765411690*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 555 and 747030?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r**2 + 270*r - 400. Let v be y(75). Is v less than -2651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/9 and -7\/471.\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1438, -218, -6602, -20078, -43010, -77762?\nAnswer: -126698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 3*w - 6*w. Let o be 1915\/35 - (-2)\/7. Calculate the highest common factor of o and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22253602?\nAnswer: 2, 7, 433, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*s + 71 - 95 + 220 for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-18))\/(4 + (-245)\/60) - -4. What is the second smallest value in 0.4, k, 2\/47, -1.3?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37739 (base 10) to base 12\nAnswer: -19a0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -122 - -162. Suppose 30 = 6*m - 3*m. Calculate the highest common factor of w and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 50990, 50877, 50694, 50435, 50094, 49665, 49142?\n\"Answer: -x**3 - 29*x**2 - 19*x + 51039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -114, -130, -146, -162, -178, -194?\n\"Answer: -16*c - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/2)*o)**47*o**(-2)\/(o**(-1)*o))\/((o**(-2))**(4\/5)*(o\/o**2)**(-4)) assuming o is positive.\nAnswer: o**(661\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 9945?\nAnswer: -1\/9945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64024 - 64030 = -6*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -5. Suppose -5*t + 113 - 43 = 0. What is the remainder when t is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 454 - 1?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.127606 minus -163874358?\nAnswer: 163874347.872394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146 divided by -15619.\nAnswer: 146\/15619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -811 + 809. Which is the nearest to 1? (a) -0.5 (b) p (c) 0 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 732837 divided by -3.\nAnswer: -244279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4317389 is divided by 322.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28\/56 - (19\/(-10) + 2). Which is the closest to z? (a) -0.2 (b) -4 (c) 5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 2*a - 64*a**2 + 135*a**3 + 110*a**2 + 7 - 46*a**2 as m*a + d*a**3 + z*a**2 + u and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (52\/(6656\/(-16)))\/((-14)\/(-24))\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0.06, 0.071102?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -12, -4, -153, 189, 5, 0 in decreasing order.\nAnswer: 189, 5, 0, -2, -4, -12, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -7*r - 57. Let b be f(-9). Suppose -5*p + b*p = -5*p. Solve p = -4*i - 5*u + 4, -2*u + 4 = -i + 5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22615011 to the nearest integer?\nAnswer: 4756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3. Let z(x) = -7. Let c(a) = 5*o(a) + 2*z(a). Let b be (-1 - 1) + 2 + -3. Let n(p) = -p**2 - 2*p + 2. Let d(i) = b*c(i) + n(i). Factor d(v).\nAnswer: -(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4216 - 724. What are the prime factors of j?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277 = 5*q + 4*s, 0*q - 4*q = 5*s - 218. Suppose -2*i + 2*v + 34 = 0, -3*v = i - 2*v - 7. What is the remainder when q is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*p + 2492, -3*p + 3094 = 5*t - 2*p. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 7:13 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05 - -3.95. Let x = d + -4. Let j = 2.96 - -0.04. What is the smallest value in 2, j, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*d - 18 = -2*x, -x + 10 = 3*d. Is (-5938)\/(-8)*(x + (1 - 0)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 5)*(74 + 2 - 1)*(7*y**4 + 2*y**4 - 4*y**4).\nAnswer: 375*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 59 + 43 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 6:39 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 264*t - 4198. Determine g(16).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45*(11016\/(-540))\/(-34).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -8\/142159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -1.9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s + 1. Let t be l(1). Let a(o) = -3*o**2. Let c be a(t). What is the remainder when 9 is divided by (c\/9)\/(2\/(-30))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4\/5 + 38*g**3\/5 + 238*g**2\/5 + 562*g\/5 + 72 = 0 for g.\nAnswer: -9, -5, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 12223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**4\/2 - 7*m**3\/6 + 17*m**2\/2 + 22*m. Is l(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s**2 + 12 + 123*s**3 - 70*s**3 - 3*s - 62*s**3 + s - 15 to g*s**3 + u*s**2 + v*s + t and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -30*l - 128. Does 22 divide m(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 40 = -8. What is the smallest common multiple of 9 + (-2)\/(r\/12) and 196?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1142 + -1138. Solve -3*x + 0*x = 4*m - 24, -k*m = 4*x - 28 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 9*r - 12 + 30*r + 14*r. What is the units digit of f(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -8*j**2 + 2 + 2 + 10*j**2 - 5*j. Let q be n(4). Solve 2*c - 11 = -5*k, -q = c + 4*c - 2*k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9384)\/(-136)*((-10)\/45)\/(2\/(12\/10)).\nAnswer: -46\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -100, -99, -96, -91, -84, -75?\n\"Answer: y**2 - 2*y - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*c + 362 = 1484. Let l = 18 - 52. Let v = c - l. Solve z = -2 - v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1074, 2139, 3194, 4233, 5250, 6239, 7194?\nAnswer: 8109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 192903102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -1601*i**6\/3 + 12*i**2 - 6*i - 4741. What is the second derivative of o(w) wrt w?\nAnswer: -64040*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 1:26 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1100436 or 310?\nAnswer: 310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 82*x + 90. Give f(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 0, 3, -2, -3562?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 188864547 and 137406?\nAnswer: 377729094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0060682 to four decimal places.\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 286*q + 20449.\nAnswer: (q + 143)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asa when three letters picked without replacement from {e: 3, r: 5, s: 1, o: 1, a: 5}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence twg when three letters picked without replacement from xwgxgtxwwxxwt?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 54\/5 + 2\/10. Let f = l + -8. Find the third derivative of f*b**5 - 6*b**3 - 3*b**2 + 6*b**3 wrt b.\nAnswer: 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 9) to base 7\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a decade in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**2 + 32700*h + 98073 = 0 for h.\nAnswer: -10897, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89031 - c + 0*c - 179124 + 90093.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*o - 21074 + 19*o - 42*o + 19061 in the form n + h*o and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*l = 281, 6*l - 3*l + 462 = 5*y. Let t = y - 94. Which is smaller: t or -9\/17?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8098*q*s - 2*q - 8*s**2 - 3*s - 14222 wrt s?\nAnswer: -8098*q - 16*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -375296, -375301, -375304, -375305, -375304, -375301, -375296?\nAnswer: -375289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47963.67 centuries to decades.\nAnswer: 479636.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-8)*g)**(-13\/5)\/(g**(-14)\/g*g**22\/g*g))**0 assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/3 - 8*i\/3 - 14.\nAnswer: 2*(i - 7)*(i + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-16)\/24)\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.048716 rounded to 4 decimal places?\nAnswer: -0.0487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298*c = 169*c + 3925083. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 481*h + 3194*h + 1962*h.\nAnswer: 5637*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 6:31 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -58183236635 + 1.3?\nAnswer: -58183236633.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58 + 36793*l**3 - l + 37 - 2*l - 36794*l**3 - 3 to the form t*l**2 + c*l + s + o*l**3 and give s.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(0 + -8))\/(99\/396). Which is smaller: 67\/133 or q?\nAnswer: 67\/133","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 8:23 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 550782*x - 241095*x + 559262*x + 432225*x.\nAnswer: 1301174*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than or equal to -194112589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 11:25 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/9 in -1, -0.2, 22?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/(15\/45).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 530, 2246, 6190, 13478, 25226, 42550, 66566?\n\"Answer: 186*f**3 - 2*f**2 + 420*f - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*u - 40*u = 189*u + 291 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 5*r**2 + 2*r - 5. Let j be o(-4). Factor -2*u**3 + j*u**3 + 6*u - 4*u**3 + 3*u**2.\nAnswer: -3*u*(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11 + -8)*(1 - 2 - 0). Sort y, 0, -4, 1 in descending order.\nAnswer: 1, 0, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 331 - 110. Let m(z) = -3*z**3 + 52*z**2 - 28*z + 200. Let j be m(17). What is the highest common factor of a and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10500619?\nAnswer: 941, 11159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*k. Suppose 3*o = 2*o - 4, -2*h - 3*o = 8. Suppose k = -2*i - h + 8. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9309 is divided by 1540.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 3*k = 7, -9 = -z - 12*k + 7*k for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7259.049cm?\nAnswer: 0.07259049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1468 a factor of 1054952124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 188, 370, 542, 698, 832, 938, 1010?\n\"Answer: -k**3 + k**2 + 186*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16244*n**2 + 6*n + 262100 wrt n.\nAnswer: 32488*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*w**5 + 4*w**5 + 5*w**5 + 5*w wrt w.\nAnswer: -80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 12*1\/2. Let a = 1 - x. Solve -4 = -2*f + a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3738.8696 - -3739. Put 0.3, g, -3 in decreasing order.\nAnswer: 0.3, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one fifths of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l + 36 - 36.\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 13811, 27620, 41417, 55196, 68951, 82676, 96365?\n\"Answer: -c**3 + 13816*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1351 to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -53. Let p = r - -69. List the prime factors of p.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = 2*k. Suppose 5*i + 13 = -2*j - k*j, 5*i - 4*j = 3. Let n(v) = 37*v - 30. Let l(w) = -13*w + 11. Let p(c) = 11*l(c) + 4*n(c). Give p(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c - 4*c + 120 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -584362.801 rounded to the nearest 10000?\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22085022 is divided by 40?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 7) to base 9.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*l - 1 - 9, 2*u + 4 = 5*l. Let v be 42 + 1 - (-3 + u). Let h = v + -28. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y + 63 = 33*y + 3*y. Solve -r - 4*x = 1, y*r - 3*x - x = -3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*m - 12. Let y(w) be the first derivative of 0*w + 2\/5*w**5 + 0*w**2 - 2 - 1\/3*w**m + 0*w**4. What is the third derivative of y(q) wrt q?\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1010101 - 1?\nAnswer: -1010102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 61*d - 1231. Let k be y(16). Put -3, -1, k, 59 in increasing order.\nAnswer: -3, -1, k, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*i + 8. Suppose 0 = -u + u + i*u. Suppose 4*o + k - 56 = u, -2*o + 5*k + 6 = -0*o. Calculate the remainder when o is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*s - 3. Let z be s\/((-1)\/418*2). Let a = z - 145. Calculate the highest common divisor of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qiii when four letters picked without replacement from qssksisksqikskiksss?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2 + 19\/(-2). Let v(g) = g**2 + 11*g + 12. Calculate the least common multiple of 6 and v(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43272 + -28056. What are the prime factors of b?\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -6*r + r, 2*r - 89 = -3*s. Suppose -s = 13*a - 16*a. Calculate the greatest common factor of a and 333.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + (-2 - -1))\/(98\/((-13132)\/7638))\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 531 minutes before 6:55 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -1084 - -1039.84. Let t = -99 - -144. Let k = t + q. What is k rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -41\/182805?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 3. Suppose 2*s - 4 = h, -s = 3*h - 9 - 7. Suppose c = h*m - m - 21. Let l(d) = -d**2 + 8*d - 2. What is l(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 50\/30*(-1 + 4). Let t(b) = b**3 - 5*b**2 - b + 7. Calculate t(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 8*b**2 - 8 + 17 + 4. Let r(w) = 4*w**2 + 6. Give -6*m(p) + 13*r(p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 8 = 4. Suppose z = -z. Let i be (z - 3) + (1 - -2). Solve 2*u + 10 = i, x*j = -4*u - 2 - 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3 - y - 9 + 4 - y**3 + 2*y. Let h be x(0). Let l be h\/10 + (-22)\/(-10). Let q(o) = 2*o**2 + o - 1. Give q(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 4516.\nAnswer: 13548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c - 24. Let r(x) = 10*x**2 - 16*x - 13. Determine r(o(v)).\nAnswer: 40*v**2 - 992*v + 6131","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r + 11. Let a be f(-9). Suppose 6 = -a*h + 18. What is the remainder when 9 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times 4?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 - 4*j**2 + 4*j - 19. Let s(d) = -d**3 - 2*d**2 + 2*d - 10. Let i(l) = 11*s(l) - 6*x(l). Let u be i(0). Solve -13 = -u*c - 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1325 != -357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3158010696 rounded to three dps?\nAnswer: 0.316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*m + 31*m - 209 + 8*m - 39*m.\nAnswer: 20*m - 209","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + ((sqrt(2) + 0)*6)**2 - sqrt(14)\/(sqrt(14)\/sqrt(2)*-6))*-4.\nAnswer: -288 - 98*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 7*u = 21. Let h = -62 + u. Round h to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 963490848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15846 + 0.0862.\nAnswer: 15846.0862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 156577 (base 8) in base 12?\nAnswer: 28993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 261.\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*f**2 + 150414939 + 0*f + 0*f - 150414939.\nAnswer: 102*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r + 5. Let o(i) = -i + 5. Let s(x) = 3*x - 10. Let w(n) = 5*o(n) + 2*s(n). Let q be w(-6). Let d(h) = h + 1. What is q*c(z) + 5*d(z)?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(51\/45 - 1). What is k in -21*k**3 + 16 + f*k - 16*k**4 + 23*k**2 - 14 - 3*k**3 = 0?\nAnswer: -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvl when three letters picked without replacement from {b: 3, v: 1, l: 1, z: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -3 + 1\/6*m**3 - 1\/4*m**4 + 1\/2*m**2 + 0*m - 1\/10*m**5. Factor o(p).\nAnswer: -p*(p - 1)*(p + 1)*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3505472.36 and 1.\nAnswer: 3505472.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19000 = -3*t + 5*t. Round t to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**2 + 6*p**2 - 2*p**2)*(-2*p - 2*p**2 + 2*p) - p**4 + 2*p**4 + 0*p**4 + 31 - p**4 - 31 - p**3.\nAnswer: 2*p**4 - p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 7*p**2 + 14*p + 30. What is s(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 7330680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -557.028 + 554. Let x = -0.028 - m. Sort 4, -0.1, x.\nAnswer: -0.1, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f - 2. Let z be o(-4). Suppose 0 = z*y + y - 6. Suppose y*l = -0*l + 22. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sa when two letters picked without replacement from {s: 4, a: 6}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j + 42*j + 88*j.\nAnswer: 140*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 < 36808?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/1 + 0 + 2. Let h = 14 - -3. Let y = -14 + h. Sort -8, o, y in increasing order.\nAnswer: -8, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -1, 453, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -7.7. Suppose 5*s + 55 = 5*y, 3*y - 34 = y - 4*s. Let q = y - 115\/9. Which is the nearest to 1? (a) g (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 1 - 7 - q**3 + 12 - 5*q**2 - 2. Let u(f) = -f**3 - 6*f**2 + 4. Let y(h) = -6*n(h) + 5*u(h). Find the first derivative of y(l) wrt l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -135*f. Let b(k) be the third derivative of -2*k**5\/15 + 2*k**2 + 13*k + 276. What is b(r(x))?\nAnswer: -145800*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 4 + 1769*s - 1733*s - 2.\nAnswer: 36*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*j = 30*j + 3949. Does 32 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -223321 - 3?\nAnswer: -223330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - -37 - 36) + 7 + -13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31054150 rounded to the nearest one hundred thousand?\nAnswer: 31100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 17*s - 18*s - 3*g, -g - 3 = -s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000666381 to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -29\/3 (b) 461 (c) 0.5 (d) -4 (e) -0.1 (f) -1\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - 3. Let l(s) = s + 9. Let b be l(x). Solve -b*k + 2*y + 4 = 0, -2*k + 0*k + 6 = -3*y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - -2213413505042?\nAnswer: 2213413505042.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 2:05 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 4*u + 37. Does 16 divide (-9)\/u - 92\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + -0.4. Suppose 0 = -f - 3*q - 20, -3*f - 5*q + 5 = -9*q. What is the nearest to 0.1 in s, f, 4\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7138084 and 1676.\nAnswer: 1676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2270256188 to the power of 1\/2, to the nearest integer?\nAnswer: 47647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -5, 10, 282 in descending order.\nAnswer: 282, 10, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-30))\/(1 + (-22)\/20)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 4*i**2 - 2*i + 27. What is x(5)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15824382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13446*c = -13365*c + 1539 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 244\/(0 - -4)*1. Let l = i + -29. Let u = -708 - -724. What is the greatest common factor of l and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -12*h**2 - 75*h**2 + 15*h**3 - 227*h**3 - 77*h**3 + 510*h - 122*h**3 - 12*h**4 = 0.\nAnswer: -34, -5\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 7*f**4\/4 - 5*f**3\/3 + 339*f**2\/2 + 67*f + 3. Find the first derivative of w(i) wrt i.\nAnswer: 42*i - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 1682?\nAnswer: 3364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-14))\/((-122)\/4392).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.48 - -0.98. Let c = -0.2 + 0.4. Sort c, 5, h in decreasing order.\nAnswer: 5, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4680 and 1794?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*r**2 + 15*r**3 + 10*r**3 - 22*r**3 - 97*r**2 - 106*r**2.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -55\/460979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + sqrt(18))**2 + -4*sqrt(8)\/sqrt(4) + sqrt(648) + -2 + 3.\nAnswer: 8*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -81*m**7\/70 + 369*m**6\/20 - 2437*m**5\/20 + 861*m**4\/2 - 882*m**3 + 43*m**2 - 3*m. Suppose x(z) = 0. Calculate z.\nAnswer: 14\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 3 - 18)*(6*k - 6*k - 4*k) to o*k + l and give o.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (6 + -11 - -4)) + 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 + 12*r + 17. Let k be h(7). Solve -k*m + m = -2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -563\/100 + 22\/25. Which is bigger: c or -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(1\/23)*f**(-3\/4)*f*(f**(1\/14)\/f)\/(f\/(f*f\/f**3*f*f*f)))**14 assuming f is positive.\nAnswer: f**(1523\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*p - 0. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -213126095 by -556465.\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*s + 2*s - 21, -3*s - 3*t = -3. Suppose -s*k + 1256 = -304. Let x be (-4)\/(-14) + k\/84. Are 21\/8 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = q - 38, 4*q = -7*y + 9*y + 22 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbo when three letters picked without replacement from {o: 1, r: 1, m: 7, b: 5}.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 592*q**7\/105 + 9377*q**5\/60 + 3*q**2 - 639. Find the third derivative of n(s) wrt s.\nAnswer: 28416*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 6*n. Let a be m(5). Let v = 1 - 1. Solve 0*w + 3*w + a = -5*z, v = -5*w - 25 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(21\/15 + -2). Suppose r*p = 10*p. Solve -5*c = -3*m, m = -p*m - 4*c for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/((-2)\/2))\/(45\/45)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2146 is divided by 322.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -1) + (-52574)\/1. Let f = c + 87575. What is f rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74022 * 137\nAnswer: -10141014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218*d - 26*d = -21 + 597. Solve 0*a + k = -a, -10 = 5*a + d*k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 1. Suppose -7 = 5*x + 3. Sort x, -3, c.\nAnswer: -3, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50839 by 2643.\nAnswer: 50839\/2643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 6*w**2 + 7*w + 6. Let b(j) = -j**3 + 7*j**2 + 8*j + 7. Let g be (-6)\/8 + (-6)\/(-8). Suppose 0*i + 2*i + 12 = g. Determine i*b(f) + 7*z(f).\nAnswer: -f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80.2 - 135. Let a = 55 + j. What is the nearest to 1\/4 in 2\/3, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c. Let l(d) = -d**2 + 2*d + 2. Let v(s) = 3 + s**2 - 2*s**2 + 0*s**2 + 3*s. Let o(a) = -3*l(a) + 2*v(a). Give q(o(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1376419?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4576790.\nAnswer: 2, 5, 457679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 294632049 and 1717?\nAnswer: 1717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 158 and 1422?\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4*(sqrt(1331) + sqrt(1331) + sqrt(1331) + -1*sqrt(1331) + sqrt(1331) + sqrt(1331)))**2.\nAnswer: 340733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7 and 4563636954?\nAnswer: 4563636947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*6\/9)\/14?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 766390 divided by 5\nAnswer: 153278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*sqrt(15) + sqrt(15)))\/(sqrt(75) + sqrt(75) + 1*sqrt(75) - sqrt(3)).\nAnswer: -2*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**3\/4 - 1281*l**2\/2 + 16182*l - 29808 = 0.\nAnswer: 2, 24, 828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26430858107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -174544*m**2 - 11*m - 4786?\nAnswer: -349088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(2\/23)\/q)*q**0)\/(q**(-5)\/(q*q\/(q\/(q\/(q\/(q*q**2*q*q))))*q*q)))**(-2\/15) assuming q is positive.\nAnswer: q**(-686\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**4 + 9585*n**3 - 427293*n**2 + 825819*n - 408114 = 0.\nAnswer: -3239, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a - 639a6?\nAnswer: -63a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**2 + 3*r**4 - 5*r**3 + 7*r**4 - 17*r**4 + 2*r**4 + 6*r**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -75309*i - 86675 with respect to i.\nAnswer: -75309","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {c: 4, b: 6, v: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15 (b) 1817 (c) 0.082 (d) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i**3 - 19*i**2 + 11*i - 13. Let r = -35 + 41. Let d(c) = -2*c**3 - 9*c**2 + 5*c - 6. Give r*a(b) - 13*d(b).\nAnswer: 2*b**3 + 3*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14148 is divided by 830.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-3*sqrt(2100)*5)\/((sqrt(189) + 1*sqrt(189))\/((sqrt(168)\/sqrt(4))\/sqrt(6))))**2.\nAnswer: 70000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 1 - 16. What is the tens digit of 10*1\/(w\/24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 21, 30, 39?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 49. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 119 = 5*m, -3*m - 15*a + 78 = -14*a. Let k(t) = 30*t + m*t - 49*t. Let o(b) be the third derivative of -b**5\/60 + b**2. Determine k(o(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2) + 1 - (1 + -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 32*s**5 - 107796*s**4 - 364139*s**3 - 124761*s**2 - 10116*s = 0.\nAnswer: -3, -1\/4, -1\/8, 0, 3372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 801 = -3*f + 5*p, -3*f + 599 = 2*p. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*l + 1521 = 5*l + 5*l - 859 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000792589 rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -8*f - 18. Let x be (64\/(-18) + f\/(-9))*-6. Solve 7*t + x = 2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 28*f - 4. Let c be 3*(16\/24 - 20\/6). Let x be v(c). What is the highest common factor of 52 and x?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8968*w + 10250*w + 10292*w - 27871*w.\nAnswer: 1639*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1338 - 1338.538. What is the third biggest value in f, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o - 4*o + 11*o)*(2 - 2 - 2)*(-4*o + 2*o + 51 - 44).\nAnswer: 8*o**2 - 28*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 - 23 - 18 - 18 - 10*i.\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/6*12\/(-292). Let n = 0.05411 - 0.05411. Which is the closest to n? (a) o (b) 5\/2 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xm when two letters picked without replacement from mlmmmlxffx.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 4, -1\/3, 7\/17 in descending order.\nAnswer: 13, 4, 7\/17, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-135)\/75*(-20)\/(-24).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -135, 0, -130, 4 in increasing order.\nAnswer: -135, -130, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -541, -538, -533, -526, -517?\n\"Answer: y**2 - 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-3))\/(104\/(-18) + 6). Suppose -d*n = -u + 28, -n + 0*n = u - 44. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 529*t**2 + 3*t - 3*t**5 + 439*t**2 - 958*t**2 + (0 - 1 - 1)*(t**5 + 3*t**5 - 5*t**5) + 4*t**4 - 4*t**4 + 2*t**5.\nAnswer: t**5 + 10*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2134*g - 2139*g. Solve 0 = c - 5*n, g = -c - 6*n + n for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21220202 (base 3) to base 9\nAnswer: -7822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 10*n**2 + 15*n + 11. Let u be r(11). Let w = u + -54. Is 39 + (-3 - -1) + w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7639 + -7639. Is -5\/108 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 j when two letters picked without replacement from {j: 2, i: 1, c: 1, q: 3}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-4))\/a)\/((a\/a**(-3))\/a))\/(a**0*a*a**(-3\/5)) assuming a is positive.\nAnswer: a**(-37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (106 - 93) + (-8 - -1) - (-3 - -27)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 9*d - 55. Let n(q) = -5*q + 27. Let y(c) = -2*h(c) - 5*n(c). Differentiate y(j) wrt j.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414430482215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 429605 * -122.4.\nAnswer: -52583652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -2\/9, 0.66, -15, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.75 + -3.75. What is the second smallest value in 0.3, -5, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d = 11*d + 6. Suppose 46 = 4*y - 5*s, -4*y - d*s + 14 + 16 = 0. Let m(u) = u**2 - 11*u + 21. What is the units digit of m(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 230 - 104?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90816, -109276, -127724, -146154, -164560?\nAnswer: -182936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/14841 and 14\/153.\nAnswer: 14841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**4 - c**3 - c. Let g(a) = 398*a**4 - 6*a**3 - 6*a - 9010. Let o(f) = -g(f) + 6*u(f). Differentiate o(z) with respect to z.\nAnswer: -1544*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 0.112153, 0.4, 7 in ascending order.\nAnswer: 0.112153, 1\/8, 0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 17*f + 81. Let d be r(-20). What is the highest common factor of d and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4250, -8456, -12622, -16748, -20834?\n\"Answer: 20*l**2 - 4266*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnwnnwnwnwwnw. Give prob of picking 2 w.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*f + 13*f - 7*f.\nAnswer: 22*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 2:15 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.31 to 0 dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 33*k + 4. Let f(n) = n**2 - 435252. What is f(h(j))?\nAnswer: 1089*j**2 + 264*j - 435236","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ixgugugxfsx. What is prob of sequence ifgg?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69975 = -302*b + 1240*b + 617*b for b.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, c: 5, f: 4, e: 4}. What is prob of sequence ffeo?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -5 (c) 5 (d) 43 (e) -2610 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6 + 1 = i, 5*i - 5*b = 15. Let d(x) be the third derivative of x**6\/120 - x**5\/20 - x**4\/6 + x**3\/3 + 2*x**2. What is the units digit of d(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (189\/(-54))\/((508\/168 - 3)*(-312)\/208)\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61048964?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v + 0*v**2 - 2 + 1\/3*v**3. Let l(y) = 6*y**2 - 5. Let g = -3 - 2. Calculate g*h(u) + l(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -4, 8, 68, -2, -3 in descending order.\nAnswer: 68, 8, 2, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -62 + 3*b - b - 4*b + (-4*b - 2*b - b)*(-5 + 5 + 4).\nAnswer: -30*b - 62","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**3\/4 - 327*s**2\/2 + 1935*s\/4 = 0.\nAnswer: 0, 3, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 168 = 0, -4*u - 3*t - 150 = u + 2*t + 65 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 408450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-3)*4*(4184\/15690)\/(4\/9).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5*p + 6)*(-4*p + 6*p - p) + 0*p**2 - 2*p**2 + p**2 + (-3*p + 3*p - p)*(2*p + 3*p - 3*p) - 6*p**2 + 4*p**2 + 3*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-17)*s*s*s\/(s\/(s\/s**(-22))) assuming s is positive.\nAnswer: s**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 160 + -48. Suppose 9*w - w - c = 0. Sort 0, 5, w in ascending order.\nAnswer: 0, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, e: 3, b: 11}. Give prob of picking 3 b.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-1\/2)*f*f\/f**(-2\/25)*f)\/(f**7*f**(2\/3)))**(-24\/11) assuming f is positive.\nAnswer: f**(1852\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 16059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/4*(-22)\/33)\/9.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 301.6 rounded to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -7*f + 1. Let m(h) = 12*h - 3. Let d(w) = 6*m(w) + 10*v(w). Suppose k - 19 = c, 0*k - 5*c + 65 = 5*k. Let x be d(k). Does 24 = x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(((-36)\/8)\/(-3)). Let f be (w - (6 - -2))\/(-1). Find the second derivative of -4*x + 0*x + f*x**5 + 14*x wrt x.\nAnswer: 80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-3) - 4\/(-6). Let r(l) = l**3 + 4*l - 4. Let p be r(i). Let w = -4 - -9. Calculate the greatest common divisor of w and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/18)\/(12\/(-2160)). Suppose 12345 = -45*z + c*z. List the prime factors of z.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wtmbtfootfmftomfft. Give prob of sequence bom.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**4\/2 - 8*q**3\/3 + 5*q**2\/2 - 6*q - 1042. Suppose -8 = -7*x + 3*x, 0 = -5*f - 4*x - 22. Is 9 a factor of j(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 8*c - 158. Suppose 0 = c*g - 31*g + 150. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2. Let v(f) = -922*f**2. What is g(v(d))?\nAnswer: 850084*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + v + 3 = 0. Let h = 6 - -19. Let j be ((-10)\/(-6))\/(h\/10). What is the closest to -0.2 in -0.2, v, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*y - 161*y + 189 = 0. Differentiate -y + 8*t**2 - 47 + 5*t**2 - 87*t**2 with respect to t.\nAnswer: -148*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -48. Suppose 25 = -6*t + 7*t - f, -5*f + 10 = 0. Let u = t + k. 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 the hundreds digit of 452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 32*b + 227. Determine u(39).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*d**3 + 235*d**3 - 461*d**3 - 2296*d**3 - 2779*d**3)*(-7 + 23*d**2 + 7).\nAnswer: -121670*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -53606 divided by 7\nAnswer: -7658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 plus 0.059?\nAnswer: 41.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -352, 66 in descending order.\nAnswer: 66, 10, -352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 - (2\/(-4)*-4 - -2). Let f(w) = w**3 - 2*w**2 - 2*w + 2. What is f(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 184*x - 210*x + 1915420. What is x rounded to the nearest one thousand?\nAnswer: 74000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*x = 16. Suppose 2*v = 6*o - 4*o + x, 11 = o + 2*v. Is 14 a factor of 24*o\/(-9)*-21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 3813*h + 117090.\nAnswer: -3*(h - 1301)*(h + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-10)*17\/204)\/(-40*9\/864).\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4781 to the nearest 100.\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-233712)\/(-1944) + (-4)\/18. What is the highest common divisor of 130 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9972*g**2*w + 42*g**2 + 7275416*w wrt g?\nAnswer: -19944*g*w + 84*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12446603.1ms in days?\nAnswer: 0.14405790625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*y - 0. Suppose -y = 5*c - 10*c. What is the second derivative of -5*k - k**4 + c*k + 4*k**4 + 0*k wrt k?\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-692*j + 1 + 0 + 691*j)*((2*j - 2 + 2)*(j**3 + 4*j**3 - 3*j**3) + 0*j**2 - j**4 + 0*j**2).\nAnswer: -3*j**5 + 3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 1\/12 (c) 17 (d) 4 (e) -1\/5 (f) -122\/27\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 11*p - 30. Let v be b(3). Sort 26, v, -2 in decreasing order.\nAnswer: 26, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -15*d + 13*d. Suppose -5*c + 0*c = -4*v + 543, 0 = d*v + 2*c - 390. What are the prime factors of v?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3999, 4110, 4245, 4416, 4635, 4914, 5265, 5700?\nAnswer: 6231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3b (base 15) to base 9\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/19730113 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 23*g + 22. Let a be k(22). Suppose 3*c + 91 - 1126 = a. List the prime factors of c.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-21))\/1 - 230385\/(-21). List the prime factors of (-1)\/7 - z\/(-63).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**10*f**(-2\/51)\/f)\/((f*f*f**(-3\/4))\/(f**(1\/3)\/f)) assuming f is positive.\nAnswer: f**(547\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**2 - 59*m + 398. Is g(35) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 4*z - 2*l - 20, 5*z - 3*l = 7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 4)*(-2*l**2 + l**2 + 4*l**2 + (0 - 4 + 2)*(91*l - 91*l - 9*l**2))*(5 - 3 - 1) + 4*l**2 - 4*l + 14*l - 6*l.\nAnswer: 25*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 844 and (69\/(-6) + (-3)\/(-2))*(10 + -221)?\nAnswer: 4220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1174674\/16 - 2\/16 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 5 (c) -0.071 (d) -2\/3 (e) -1\/27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 434427, 433852, 433277?\n\"Answer: -575*a + 435002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -0.4, 3, 1, 1.5, -0.01, -59?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5901944861 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 4093634.692 to the nearest 10000.\nAnswer: 4090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 663427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*sqrt(6)*-1 - (2*sqrt(216) + sqrt(216) - sqrt(216) - sqrt(216)))\/(2*(sqrt(9)\/(sqrt(3)*2) + (sqrt(3) - (sqrt(27)*4 + sqrt(3)) - sqrt(3)))).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -11\/1149550?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -930645*v**5 - 90*v + 2785 wrt v.\nAnswer: -18612900*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -351, -701, -1049, -1395, -1739, -2081, -2421?\n\"Answer: n**2 - 353*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/4))**(2\/145)*(h**(-1))**(-49))\/((h**(-2\/3)*h)**(-1\/3)\/(h**4\/h**5)) assuming h is positive.\nAnswer: h**(125579\/2610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g**2 - 4*g**2 + 19*g**2)*(-3*g - 2*g - 2*g) + 2*g**3 + 2*g**2 - 3*g**3 + 8*g**3 as x*g**2 + m*g + f*g**3 + p and give f.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) -2\/13 (c) 1 (d) 3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.52 + -0.72. Which is the closest to o? (a) 2 (b) 6 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 169*o + 224. Let l be b(8). Suppose -2*y - 4*q = -1904, -4*q = y - l + 620. List the prime factors of y.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 469*x - 485*x = -3008. What is the smallest common multiple of 68 and x?\nAnswer: 3196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*i = 0, -2*z + 10 = -2*i. Let w = 0.112 + -0.212. What is the closest to w in 0, z, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/3)\/(z**(7\/5)*z))\/((z*z**8)\/(z*z*z**(-2\/17))) assuming z is positive.\nAnswer: z**(-2512\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*sqrt(108) + 4 - -1*sqrt(108)*2)**2.\nAnswer: -3488 - 384*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**2 - 16*n - 1. Let p(m) = 7*m**2 - 32*m - 1. Let f(s) = 2*p(s) - 5*r(s). What is the tens digit of f(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 13. Is d > -3\/40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 8) to base 4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 - (-9 - (-4 + 1 + -6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**2 - 7*r**2 + 4*r**2. Let l be (-18 - -15)*8\/(-6). Let s(d) = l - 15*d - 10 + 2 + 2. Calculate s(i(g)).\nAnswer: -15*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1088) + sqrt(1088) + -1)**2*-6 + 5 + -2*-5*(sqrt(1088) + (sqrt(1088) - (sqrt(1088) + 5 + sqrt(1088)*-2)))**2 + -2.\nAnswer: -2208*sqrt(17) + 72059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59778034.\nAnswer: 2, 191, 156487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y**3 - 3*y - 3. Let i(x) = 12*x**3 + 8*x + 8. Calculate -3*i(b) - 8*z(b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyuyyyyu. What is prob of sequence uy?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 0*v + v**2 + 4 - 2 + 2*v + v - 4*v. Let h(y) = -y**2. Calculate -f(d) - 2*h(d).\nAnswer: d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 29. Let o = -40 + g. Let s = -37.1 - o. Which is smaller: s or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-24))\/((-1)\/(-4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -85, 81, 4, 5 in ascending order.\nAnswer: -85, 4, 5, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 1. Let u(o) = -o**2 - 6*o + 73. Let r(b) = 6*f(b) + u(b). Let d(p) be the first derivative of r(p). Let c(n) = -52*n. Give c(d(w)).\nAnswer: 104*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -8*j**2 - 5037*j. Let t(v) = 99*v + 1. Calculate t(m(n)).\nAnswer: -792*n**2 - 498663*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41 or 36?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 34*q**2 + 102*q - 2292. Determine j(33).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 65, -0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6400000 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 86 - (4 - 8\/4). Suppose 2*b + 4*n = -0*n + u, -2*b + 76 = -4*n. What is b rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3035 + 15?\nAnswer: -3020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 530 and 143240?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 631.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -55.4585 and -2.2.\nAnswer: -57.6585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n - 25 = 59 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58*a + 23*a**2 - 58*a)*(3*a**2 - 6*a**2 - 6*a**2)*(a + 0 + 0).\nAnswer: -207*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.8123297us to minutes.\nAnswer: 0.000000030205495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 139 in -0.5, 5, -2, -153, 1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.061, -0.06 in ascending order.\nAnswer: -5, -0.061, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18844 and 11760.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -5*r**8\/168 + r**4\/12 - 10*r**2. Find the second derivative of j(x) wrt x.\nAnswer: -200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4157133 (base 8) to base 16.\nAnswer: 10de5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 117085000 to the nearest one million.\nAnswer: 117000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85801 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9798, 20175, 30566, 40977, 51414?\n\"Answer: d**3 + d**2 + 10367*d - 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14184550 and 2936?\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12149859 or 12149858?\nAnswer: 12149859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7585744 is divided by 1097.\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 900 and 4627836.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 340811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 2 + -1 + 2 - 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**0\/l)\/l**9)\/(l*l**(-2\/5)*l*l**(2\/15)*l) assuming l is positive.\nAnswer: l**(-176\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 4*o**2 - 2. Let s be p(4). Let k(t) = 1 + 8 - 15*t - 7. Calculate the remainder when k(s) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 - ((-11 - 5) + 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*v**4 + 17*v**3 - 10*v**2 - 2*v + 3854?\nAnswer: 228*v**2 + 102*v - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (25 + -18) - 17.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1765, -1764, -1763, -1762, -1761, -1760?\n\"Answer: b - 1766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -775*v**3 - 1243 wrt v.\nAnswer: -2325*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 61*m**2 + 182*m + 459. Let g be z(-58). Let t(w) be the second derivative of -w**4\/12 - 2*w**3\/3 - w**2 + 2*w. Determine t(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 110aa4?\nAnswer: 110a9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**4 + 2*x**4 - 2*x**4 + (x + 2*x - 4*x)*(2*x**3 - 3*x**3 - x**3).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9898372 a multiple of 1012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b + 9?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 7*f**2 + 6*f + 1. Let j be d(6). Let z(t) = 10*t**2. Give z(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-12) - (-22)\/4. Let s(j) = 2 - j**2 - 6*j + 3*j**2 + 5*j**2 - a*j**2. Let f(p) = p + 11. Let i be f(-7). Give s(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 13 - 5. Suppose -y - 100 = -5*y. Let l = y - 15. Solve 4*v - l = o*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9261315, 18522630, 27783945, 37045260?\n\"Answer: 9261315*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 2*s**3)*(15*s + 12*s + 9*s) as r*s**4 + q*s + m*s**2 + f + n*s**3 and give r.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/7 (b) -2\/81 (c) -2 (d) 198\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 60357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1008) + 0 + sqrt(1008) + (sqrt(1008) - (sqrt(1008) - (sqrt(1008) - (-5 + -3*sqrt(1008))) - sqrt(1008))))**2.\nAnswer: 168*sqrt(7) + 49393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -349063200 by -5.\nAnswer: 69812640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3540686 minutes in nanoseconds?\nAnswer: 21244116000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15923379 and 8418.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0378106 rounded to 4 dps?\nAnswer: 0.0378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/128586 and -155\/403494.\nAnswer: 11701326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 26 = -3*m, -m + 2*y + 1584 - 1591 = 0 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 plus 2?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 5*g**8\/168 + 11*g**4\/24 + 15*g**2. Find the second derivative of y(r) wrt r.\nAnswer: 200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 1 - 5. Let r be ((-4)\/4)\/(3\/(-12)). Solve 4*a = -0*o - x*o + 2, r*o = a + 22 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 7:02 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6942.\nAnswer: 2, 3, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 17 - 9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 35*n**2. Let b(y) = y**2. Let k be (627\/171)\/(33\/9). Give k*z(i) + 5*b(i).\nAnswer: 40*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 10:05 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/1)\/(-2) - -1. Let y be (3 - (k - 3))*1. Solve y*w = u + 3, -4*u + 4*w - 3 + 7 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**8\/112 + 2*w**7\/35 - 3*w**6\/40 - w**5\/5 + w**4\/2 + 74*w**2. Determine x, given that q(x) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -209\/15 + 14. Let b be (-420)\/(-63)*(0 + 6\/5). Suppose 10*w + b = 8*w. What is the second smallest value in w, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(325)*-3)**2.\nAnswer: 105300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + -5*(0 + sqrt(325)) - sqrt(325))**2*6.\nAnswer: 48750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 163*w + 3476. Let l be a(-9). Which is smaller: 2008 or l?\nAnswer: 2008","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-2)*28\/35. Let l(d) = 2*d**3 + d**2 + 4*d - 3. What are the prime factors of l(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2539*d**2*h + 183*d**2 + 2*d + 2 wrt h?\nAnswer: 2539*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25196891 is divided by 1145313?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 306 divided by 18\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(187) - sqrt(187)*-1 - sqrt(187))*4)\/sqrt(11).\nAnswer: -3 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z. Let t(p) be the second derivative of p**4\/12 + p**3\/3 - p. Let v(l) = 3*l + 13. Let m be v(-5). Determine m*t(s) + 4*q(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5378, -10765, -16152, -21539, -26926, -32313?\nAnswer: -37700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6710*j - 20 = 6711*j - 4*s, -j - 3*s + 8 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -43*((-36)\/28 + 6\/21). Suppose p + 20 = -4*p, 5*p + t = x. Calculate the greatest common divisor of 92 and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.2 - -6.4. Let q = j + -10. Let t = 565 - 564.2. Which is the second biggest value? (a) -0.1 (b) q (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/9 - (-16)\/9. Let p be 13\/3*(-3 - -6). Suppose -v = -11 - p. Solve 4*n - 2*q = 2*q + 28, -i*n + v = -4*q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sfffsffffs. What is prob of sequence ffsf?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3074764 and 383228?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 3 (b) 767 (c) -3\/110\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11245983 to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 18 + 8999054*p**2.\nAnswer: 8999054*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -8, 8 = 4*v + 3*d + d. Suppose v*q = 2*q - 4. Solve -2*h = -q*j + j, -5*j + h + 18 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -531 + 7443\/14. Let n = h + -89\/182. What is the biggest value in n, 2, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2452 - 2440. Solve 0 = -k*d + 3*d + 45 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(272) + -1)**2 - (-4 + sqrt(272)*2)**2) + ((sqrt(272) + -2 + -5 - -1*(sqrt(272) + -2 + sqrt(272)))*-3)**2.\nAnswer: -1856*sqrt(17) + 24106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + t + 8. Let g = -5 - -11. Let y(q) = -q**3 - g*q**t - q - 5*q + q. What is y(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 152 - 148. Put 5, -4, w, 7 in increasing order.\nAnswer: -4, w, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28182242 + 28182172 = 5*i for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 = -5*k - 2*z - 145, 4*k = -z + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/1188*40\/5*-11\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*w + 1. Let t = 33 - 33. Which is the second smallest value? (a) 0.1 (b) w (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 18. Let a(v) = 9*v**t - 14 + 81 - v**3 + 0*v**3 - 39. Is a(7) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5403 is divided by 1290?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, y: 10, s: 4, g: 1}. Give prob of sequence sg.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2125 divide 124219000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12924 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-50) - (-4 + 1413\/330). Let b = 7.97 + -8. Let p = b + 2.03. What is the third smallest value in q, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126187 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*759*2\/9. Let z = -197 + o. Let y = -215 + z. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 110 = 6*z + 95, -2*y = 4*z - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2452964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3220153?\nAnswer: 3220153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -113, -221, -519, -1103, -2069, -3513, -5531, -8219?\n\"Answer: -16*u**3 + u**2 + u - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 905, 7043, 23581, 55679, 108497, 187195, 296933, 442871?\nAnswer: 630169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14044, -28170, -42304, -56452, -70620, -84814, -99040?\n\"Answer: -p**3 + 2*p**2 - 14125*p + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - 2*s + 0*s**2 - 4*s**2)*(s + 5*s - 4*s + (5*s - 5*s + 2*s)*(-3 + 1 + 4) + (4 + 2 - 4)*(2*s + 2*s - 3*s)).\nAnswer: -24*s**3 - 16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4355730 to the power of 1\/3, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -237, -234, -223, -198, -153, -82, 21?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 177 + -191.1. Let c = 14.5 + b. What is the nearest to 2 in -0.5, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y + 23. Let s(q) = 7*q - 24. Let t(r) = 6*m(r) + 5*s(r). Give t(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m - 1. Let u be p(3). Let q be (-1)\/4*(-8 - u). Let k be (-5)\/10 + q\/2. Is k > -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - n - 8. Let j = 2787 + -2700. What is the remainder when j is divided by l(6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 817556 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: What is ((-12)\/(-9))\/2 - (2679\/171 + 13)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 313202 + 111213033?\nAnswer: 112132301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dn when two letters picked without replacement from {n: 2, x: 2, d: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r + 19. Let n be d(11). Let f(z) = z + 1. Determine f(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 9*c**2 + 10*c + 184. Let t be b(-10). Suppose -2*x - i = 12, x = -0*x + i. Let p be (9\/4 - 2)\/(x\/t). Solve -5*j + p = 11 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 3247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 5)*(0*u + 0*u - 3*u).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*m + 9265 = 9284 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7097843669 and -989.\nAnswer: -7097844658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*b, 2*b = 4*c - 25701919 - 12298083. What is c rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w. Let q(n) = -1411*n**2 - 10*n. Give a(q(u)).\nAnswer: 1411*u**2 + 10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 5 = -2*u. Suppose 6 + 9 = u*d. Which is the third biggest value? (a) 0.03 (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11046, -4, 2, -181 in increasing order.\nAnswer: -11046, -181, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0305012 at least as big as 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggh when three letters picked without replacement from lhlggrv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -4 (b) 2 (c) 2\/7 (d) -23\/8 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.2, -0.5, -0.05, -2, 0.1, 11.\nAnswer: -2, -0.5, -0.05, 0.1, 2.2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 23942*u + 119711. Give d(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9434720485 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 4*r + 2. Let n be h(4). Suppose -n*d + 0 + 10 = 0. What is the first derivative of -3*m - 2*m + d*m - 3 - 3*m wrt m?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -11. Suppose -20 = -s - v. Let c(l) = -l**3 + 13*l**2 + 10. What are the prime factors of c(s)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c. Let a be m(-1). Let w(z) = 5*z - 1. Let i(y) = -y**2 + 3*y + 3. Calculate the smallest common multiple of i(3) and w(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 d when two letters picked without replacement from dckd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -225*z - 8. What is j(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7*96837\nAnswer: 677859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -86670*m**4 + m**3 - 6*m - 10975 wrt m.\nAnswer: -1040040*m**2 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13447369 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h - 58. Let c(x) = 2*x - 39. Let s(a) = 7*c(a) - 5*v(a). Let d be s(7). What is the highest common factor of d and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257.6512 millilitres in litres?\nAnswer: 0.2576512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3627 + 1764014?\nAnswer: 1760387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-95 - -174 - 69) + 0 + -1 + 16?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -557757*h**3 + 25*h**2*j**3 - h**2*j - 4*h*j**3 - 80*h*j + 11*j**3 - 2*j**2 - 89*j wrt h?\nAnswer: -3346542*h + 50*j**3 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 22318.43ml?\nAnswer: 22.31843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/15)*w**4\/w*w\/(w\/w**(2\/23))*w**(5\/2) assuming w is positive.\nAnswer: w**(3947\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 take away -1639?\nAnswer: 1772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37138 is divided by 455?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -115\/3 in 4, 5, 182, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22073.0000171576 + 22073. Round q to seven decimal places.\nAnswer: -0.0000172","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/(-2 + (-45)\/(-10))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**2 - 24*i + 55. Let d be g(9). Calculate the common denominator of 54\/(-81) - d\/(-2) and -45\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/10 + 64\/10. Let o be (-25)\/15 + (-4)\/(-6). Let v be (-2*(1 + 0))\/o. What is the highest common factor of v and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxx. What is prob of sequence xxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 114045241097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*i + 0*i = -11, -i + 3 = 2*f. Solve -f*x + 3 - 7 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.13, -1, 291\/361, -3\/79?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 242\/(-385) - ((-42)\/(-15) + -3)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.078*2.\nAnswer: -0.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -6*x + 54. Let w be k(9). Suppose w = 3*l - 5*s - 1196, 4*s - 520 - 1032 = -4*l. What is the highest common factor of l and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l. Let p(a) be the third derivative of -11*a**4\/12 + 3*a**3\/2 - 8790*a**2. Give p(z(s)).\nAnswer: 66*s + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*y + 3*y + 3*y)*(-3*y + 2*y - y) + (0*y + 4*y - 2*y)*(4 - 4 + y) + 0*y**2 + 13*y**2 - y**2 as s + w*y**2 + r*y and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 16 = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 3*r**2 + r. Let c be k(3). Suppose -j = -c + 4. Let z = j - -1. Solve -9 = -z*x - 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-4))\/(-3*(-2)\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3395.471 decades to years.\nAnswer: 33954.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + 2 + 0 + sqrt(252) - -1*sqrt(252)*-3 - 4*((sqrt(252) - (1 + sqrt(252) + -1)) + (0 + sqrt(252))*-5))**2.\nAnswer: 456*sqrt(7) + 90976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 884912, 1769837, 2654762?\n\"Answer: 884925*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 o, and 1 g when three letters picked without replacement from lglllolbgbbgll.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 316*h - 317*h. What is the derivative of -27*k**4 - h*k**4 + 91*k**4 + 76 wrt k?\nAnswer: 72*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is df1 - -5?\nAnswer: df6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2339630 (base 10) to base 14\nAnswer: -44c8c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j - 35. Let g(z) = z + 18. What is -7*g(q) - 4*s(q)?\nAnswer: q + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19285.0132 + 324413.\nAnswer: 343698.0132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*f = 9. Suppose r - 28 = f*w, w + 15 + 3 = r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/19)\/l*l*l**(1\/5)*(l*l**(-1)*l)\/(l**(-8\/3)*l*l))**35 assuming l is positive.\nAnswer: l**(4144\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1014556.\nAnswer: 2, 253639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 9:55 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1.4. Let u = 5 + 0. Let c = -0.4 - 1.6. What is the biggest value in n, c, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 26478873, 52957747, 79436621, 105915495?\n\"Answer: 26478874*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6220 + 10209. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 1:17 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*h - 0, 3*y - 39 = -2*h. Let d(x) = 2*x**2 - 2. Let p be d(-1). Solve p = 2*n + 4*b - 28, -y = n - 4*b + b for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - z - 518005 = -2*z, t - z - 258995 = 0. Round t to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 4*z = -4, 1365*r + 2*z = 1360*r + 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (388*o**3 + 504*o**3 - 1192*o**3)*(4 - 4 + 2).\nAnswer: -600*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 7*w + 120. Let v be d(-13). Is (-24830)\/(-7) + (-6)\/v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0186 rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -95\/2 - -37. Let u = -82279\/10 + 8239. Let k = b + u. Sort -2\/15, -0.5, k in ascending order.\nAnswer: -0.5, -2\/15, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, e: 8, o: 2, y: 1}. Give prob of picking 1 o and 1 e.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b - 9. Let a be m(-6). Is 3 a factor of ((-6)\/(-18))\/(1\/a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.286 - 0.514. Let o = 6.73 + 0.07. Let b = o + h. Is 0 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*j = 17, 20 = 5*i + j + 5. Let o be (i + (-2492)\/(-21))\/((-4)\/(-18)). What is o rounded to the nearest 10?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**6\/450 + 2*f**5\/75 - f**4\/6 - 19*f**3\/3 - 10. Let x(a) be the third derivative of y(a). Factor x(d).\nAnswer: 4*(d - 1)*(d + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o = 9*o - 36 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40989?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 7*j. Let i(t) = -37*t**2. Determine c(i(k)).\nAnswer: -259*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/19178 and 87\/50.\nAnswer: 479450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 3*x - d, -8*x + 13 = -4*x + d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + 0*y + 0*y - 2*y - y + 2*y - 4*y + (11*y - 2*y - 5*y)*(1 - 1 + 2) + (5 - 3 - 4)*(-2*y - y + y).\nAnswer: 7*y - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -136.25430376 from 0.132.\nAnswer: 136.38630376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/8 and 7\/300136?\nAnswer: 300136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-10 - -6))\/(9\/(2430\/72))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -62*t**2 + 4*t - 7. Let k(l) = 1. Let s(w) = -c(w) - 4*k(w). Find the second derivative of s(z) wrt z.\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.2098989 years?\nAnswer: 0.0002098989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*n + 96*n - 447*n + 93*n + 102*n + 95*n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 585.34236 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (6 - (6 + 0 + 5) - 10).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -225 and 4895.74.\nAnswer: -1101541.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1283.5 and -10.\nAnswer: 12835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*(sqrt(76) - 3*sqrt(76)) + -2 + sqrt(76) + -4)**2.\nAnswer: -120*sqrt(19) + 1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 - 46 - 2*d**2 - 46 + 135.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1089, -19761, -76359, -186579, -368295, -639381, -1017711, -1521159?\n\"Answer: -2979*z**3 + 3*z + 4065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-87)\/(-105) - (-74)\/(29008\/(-168))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2253 is divided by (-12)\/42*21 - -54.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 3683?\nAnswer: 25781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3016 - 363?\nAnswer: -3412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*p + 65*p + 3872 = 0. What is the highest common factor of 242 and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/47086 and 53\/7244.\nAnswer: 94172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04 + 0.44. Let l = -0.06 + 0.06. Let h = l - u. Which is the third biggest value? (a) h (b) 0.5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqilqll. What is prob of sequence ilq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 1 - 10*p + 7*p)*(-1 + 3 + 0).\nAnswer: -6*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.3 - 2.3. Let p = 5 - g. Let n = p + 2. Put -4, n, -5 in ascending order.\nAnswer: -5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 44 + -11?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -75*q + 1. Let y = 54 + -53. Let n be h(y). Let j = n + 76. Solve 4*t + 2*b - 8 = -j*b, 0 = -3*t + 2*b + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.45 + 0.05. Which is the biggest value? (a) o (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -638912 or -638919?\nAnswer: -638919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5139 and 1025847.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2754707 is divided by 98367.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, k: 4}. What is prob of sequence nnkn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 333.875 - -4.\nAnswer: 337.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 5*o - 34. Determine v, given that -3\/4*v + 0 - o*v**3 - 15\/4*v**2 = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43.9 - 41. Let q = 0.9 - k. Which is the smallest value? (a) 2 (b) q (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7292 is divided by 168.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 9. Let d be 7*(0 - k\/21). What is the third derivative of -9*n + 9*n + 2*n**d - 2*n**3 wrt n?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*g**(-6\/13))\/g*g)\/g**14)\/(g**(-3\/2)*g)**(27\/4) assuming g is positive.\nAnswer: g**(-945\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1262*d + 140 = -1248*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 14. Let z be s(-6). Let a = -2 + z. Suppose 3*l + 36 = a*l. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*h)**43\/((h*h*h*h**(-2\/9))\/(h**3*h*h))*(h\/h**0*h**(4\/7))\/(h**1)**43 assuming h is positive.\nAnswer: h**(2948\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + a**2 + a - 1. Let o(g) = -3*g - g + 14 - 4*g**2 - 46 + 19 + 17 + 9*g**3. Give 12*c(l) + 3*o(l).\nAnswer: 15*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*p**3 - 64*p**2 - 67*p**3 - 70*p**3.\nAnswer: -4*p**3 - 64*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*z - 4*p + 30, -11797*z + 2*p = -11792*z - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1788430597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v**2 - 291*v + 916. Let j be m(-149). What is j rounded to the nearest one thousand?\nAnswer: -67000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*u = 102*u + 9796. Is u a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3190*a - 216 = -3226*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*t - 141 + 26 = 0, 4*t = -2*m - 110. Let i(c) = -3*c - 99. Calculate the remainder when 574 is divided by i(m).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 2 (c) -1\/2 (d) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.314409 millilitres?\nAnswer: 0.003314409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 8*t**2 - 4*t + 3. Give b(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(2*k + 5*k - 5*k) + (2 + 2 - 2)*(0 + 3 - 1)*(4*k - 5*k + 3*k).\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29424 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 + 3*n**2 + 0*n**2)*(2 - n - 2)*(-2*n + 2*n + 2*n**2).\nAnswer: -12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -53, -78, -105, -134, -165?\n\"Answer: -n**2 - 22*n - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6375905 and 122140?\nAnswer: 985","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -750, -1442, -2156, -2904, -3698, -4550?\n\"Answer: -2*p**3 + p**2 - 681*p - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1920)*-2 - sqrt(30))\/(sqrt(6) - (sqrt(6) - sqrt(1350)\/sqrt(9))) - (1*sqrt(1215) + sqrt(15))\/(-1*sqrt(432))*1.\nAnswer: -77*sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -a - 4*j, -3*j + 6 + 9 = 0. Suppose -4*x + 66 = -l + 21, 0 = a*l + 4*x + 42. Let b = 64 + l. Calculate the remainder when b is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -462*g - 127*g + 124*g + 2 + 61*g - 386*g to the form v + q*g and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/9)\/w)\/w)**42\/(w*w*w**(8\/3)*w**(1\/14)) assuming w is positive.\nAnswer: w**(-1373\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1124 - 3*u - 1124.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 - 5*l + 28. Let d(p) = -p**3 - 3*p + 14. Determine -5*d(c) + 3*k(c).\nAnswer: -c**3 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7920\/(-960) - (-546)\/8?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qjx when three letters picked without replacement from fdmxmxqdjxjx?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3*(2\/20)\/((-7)\/(-14))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 198491*k - 174132 wrt k.\nAnswer: 198491","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*x - 14. Let h(v) = 7*v**2 - 11*v**2 - 3*v + 6*v**2 - 10 + v**x. Is h(-4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05094991 - 2.13106691. Let p = v - -2.08. Round p to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1202*j + 3081 = -1123*j. Solve 116*y - j*y - 462 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 2 (b) 20 (c) -0.3 (d) 5 (e) 0.03 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = h - 14, h = -6*m + 8*m + 34. Solve -h = -2*g - 32 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(3\/16)\/(p\/((p**(-40)*p*p)\/p)) assuming p is positive.\nAnswer: p**(-637\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 448842125*j. Let r(z) = z**2. Calculate y(r(m)).\nAnswer: 448842125*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -801 times -34.818?\nAnswer: 27889.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 30*x - 1\/12*x**4 + 33\/2*x**2 + 0*x**3 + 1 - 13\/20*x**5. Differentiate t(d) wrt d.\nAnswer: -39*d**2 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -336337 not equal to -336350?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/75)\/((-3)\/15)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1030248 divided by 4\nAnswer: 257562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1658738*-0.051.\nAnswer: 84595.638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 1\/6, 3\/56, 2\/11 in descending order.\nAnswer: 2\/11, 1\/6, 3\/56, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 221294 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 8:21 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8960 - 8871. Which is greater: 3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104\/(-10)*(-3 - 596\/8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h - 238196 + 238183 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13 and 32130913.2.\nAnswer: 32130900.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26580 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2031 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3692 - 3692 - 3*t + 2*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**3 - 74 - 4*j**3 - 74 + 148.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 154969521 to the power of 1\/3, to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 302 = 4*w, 124 = 2*w - 3*h - 23. What is the remainder when w is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-5 - -18) - (29 - (82 + -21))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 14*r. Let i(p) = -7*p. Give -7*i(v) - 4*k(v).\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Let j(h) = -h**2 - h**3 - 5*h - 4*h**o - 4 + 0. Calculate the remainder when 40 is divided by j(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 13*s**2 - 9*s - 13. Let x(z) = 19*z**2 - 13*z - 19. What is 7*n(f) - 5*x(f)?\nAnswer: -4*f**2 + 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7542 divided by 18?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -312 divided by 104?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 3)*(235276*q - 235277*q + 6*q**3 - 122*q**3 + 3*q**2) to the form m + j*q**3 + c*q**2 + o*q and give j.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s. Let w(v) be the third derivative of 0*v + 0*v**4 - 4*v**2 + 0*v**3 + 0 - 1\/30*v**5. Give h(w(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1416 and 602331.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(4\/9))\/(y*y\/y**(-12)*y)*(y\/(y**1\/y*y))\/y*y**(-14) assuming y is positive.\nAnswer: y**(-257\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b**2 + 0*b - 12*b + b**4 - 1 - 7*b**2 to the form u*b + x*b**2 + i*b**3 + f + r*b**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 895941111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = 4*g - 28. Let x = 16 - g. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5309 rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*c + 112 - 3219 = -162. Solve -r + 4 = -2*s - 3, 0 = r - 5*s - c for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -662*h + 198 = -644*h. Let j(n) = -n - 5. Let b be j(0). Calculate the remainder when (-4)\/(4\/b)*5 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8077 - 29*b + 8077.\nAnswer: -29*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -4 + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*j + 2*j**2 - 4*j**2 + 9*j - 5*j in the form y*j**2 + u + t*j and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-567) - 9\/21?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14158 take away 0.1?\nAnswer: -0.24158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 462\/147 + 1\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -52800\/307 bigger than -171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*x + 6 = -26*x. What is the greatest common divisor of x and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1. Let o = -46.00002 + 46. Let n = o - f. What is n rounded to 6 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 164 or 2793\/17?\nAnswer: 164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5855261937 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/45 + 1770\/1350?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3809)\/(-16408))\/(((-21)\/3)\/(-56))?\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + 0 + (-3*sqrt(162))**2)*6.\nAnswer: -17520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*(sqrt(168) + (sqrt(168) - -1*sqrt(168))))\/sqrt(4))\/((sqrt(6) + sqrt(72)\/sqrt(192))*-6) + -4 + -3)**2.\nAnswer: -112*sqrt(7)\/5 + 1673\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -386 - -1166\/3. Let r(a) be the first derivative of -j*a**3 + 0*a**4 + 0*a**2 + 4 + 0*a - 8\/5*a**5. Find the third derivative of r(p) wrt p.\nAnswer: -192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1277.425055174 + -0.426352174. Let d = y - 1277. Round d to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 6*r**2 - 4*r - 3. Let s be k(5). What is the third derivative of -v**4 + 39*v - 7*v**s - 39*v wrt v?\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*o + o - 71, 4*g + 2*o - 68 = 0. Calculate the remainder when 72 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10766 - 10765.9. Let f = 8 + -9. Let x be (f + 3)*1\/2. Which is the nearest to q? (a) 5 (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 0 + 1 + 81*d**2 - 80*d**2. Let k be i(-1). Find the third derivative of 5*r**3 - k - 10*r**3 - 2*r**2 + 2 wrt r.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.89 - -0.11. Let z = -6974 + 6971. Which is the second biggest value? (a) z (b) -1\/3 (c) g (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669 is divided by 222.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7598, 30361, 68300, 121415, 189706, 273173, 371816?\n\"Answer: 7588*x**2 - x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22631235 a multiple of 363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**3 + 17188*t**2 - 415536*t - 3111120 = 0. Calculate t.\nAnswer: -4321, -6, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.512879mm to micrometers.\nAnswer: 4512.879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1232 and 10096.\nAnswer: 777392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24080 divided by 43.\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 18*t. Let b(y) = -837*y**2. Calculate l(b(r)).\nAnswer: -15066*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 176*i**4\/3 - 359*i**3\/3 - i**2\/2 + 8*i + 29. What is the second derivative of v(z) wrt z?\nAnswer: 1408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2822 and -2823 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 57 = -4*i + 623, -1 = -i. What is the greatest common factor of 65 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 20501 = -44443. Suppose -111*w = -100*w - f. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (9 - 8) - -14.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -29907 less than or equal to -29898?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 5*q**2 + 5*q - 3. Let z = -6 - -29. Suppose -3*v = -5*t + z, 2*t + 4*v - 6 = 2*v. Calculate the remainder when t is divided by h(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 904399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(11) - (sqrt(176)*-2 + sqrt(176))**2) + sqrt(352)\/sqrt(2)).\nAnswer: -352 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 14) in base 8?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + d = -3*n - 22, -2*n + 2*d - 20 = 0. Let b = -402 + 404. Put b, n, -3 in ascending order.\nAnswer: n, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2523 is divided by 1255?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 11:17 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 1. Let h be 21 + 1 - s - 1. Suppose -h + 5 = -2*o. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 1.78 (c) 2\/3 (d) -0.2 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -311 + -70. Calculate the remainder when (x\/6)\/(2*(-5)\/20) is divided by 34.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.6 + 3. Let s = 84354.8 - 84354.9. Sort s, 3, t in descending order.\nAnswer: 3, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of z**6\/6 - 79*z**5\/5 + 39*z**4\/2 - 299. Factor j(i).\nAnswer: i**3*(i - 78)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b**2 - 2*b + 2. Let g be u(-3). Suppose 5*k = 8*f - 3*f + 40, -f + g = 3*k. Calculate the highest common factor of k and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11164210, 22328421, 33492632, 44656843?\nAnswer: 55821054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -377, -851, -1527, -2411, -3509, -4827?\nAnswer: -6371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1573) - ((sqrt(1573) + 1)**2 + sqrt(1573))) + 3 + sqrt(1573)*-2)*-6 - -1*sqrt(26)\/((sqrt(24)\/sqrt(4))\/sqrt(3))*-1.\nAnswer: -47238 - 529*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12731\/16 + 795. Calculate the common denominator of j and 9\/100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3443 and 163073.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21)\/28*-2*2. Let d(a) = a**3 + 5*a**2 - 12*a + 5*a**2 + 0 - y. Is 4 a factor of d(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117\/(-5)*-607 - (-35)\/(1575\/54).\nAnswer: 3, 5, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -1) + (-7 - -10) - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 2)*(1 - l**3 - 1) + 11*l**3 + 2*l**2 - 2*l**2 + 893*l**2 - 893*l**2 - 5*l**3 to the form u*l + x*l**3 + i*l**2 + s and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/16)\/(3\/(-120))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23646018*-0.29.\nAnswer: 6857345.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -599 and -63?\nAnswer: 37737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -640*k + 23 = -644*k - 3*x, -k + 4*x - 1 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1200, -1202, -1204?\nAnswer: -1206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 388 + 399. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13443 (base 8) to base 6\nAnswer: -43231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 219.9839 + -220. What is f rounded to three decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11419 is divided by 5703?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 4*a + 180. Let z = -42 - -66. What is the greatest common factor of z and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.119 - -8.119. What is the nearest to k in 3, -0.5, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = -12*f + 5*k, 928*k - 929*k - 1 = f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.045 rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 19*p**6\/6 + 9*p**5\/5 + 204*p**2 - 44. What is the second derivative of t(w) wrt w?\nAnswer: 380*w**3 + 108*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - o + 19, -83*o + 87*o = -v + 31. Solve -114 = v*s + 4*k - 82, 0 = 2*s + 3*k + 23 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 3*g**2 + 2*g - 3. Calculate the remainder when 60\/14 - 18\/63 is divided by d(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -2735\/6482?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65116 - -3906773\/60. Calculate the common denominator of ((-11)\/(-4))\/(24\/(-32)) and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -350\/11 - -32. Suppose -1189*b + 1126*b = -252. Sort a, -2.9, b, -1\/3 in increasing order.\nAnswer: -2.9, -1\/3, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q - 4*q - 3*q - 6*q**2 - 6*q.\nAnswer: -6*q**2 - 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 84.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4888692265513 and 0.01.\nAnswer: 4888692265513.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-32) + (-132)\/(-32). Suppose -1390 = y*f - 3598. List the prime factors of f.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 3 - 5)*(4 + 2*z - 4) - 4*z + 0*z + 5*z.\nAnswer: -23*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -93, -207, -375, -603, -897, -1263, -1707?\nAnswer: -2235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*g - 15*g + 468204. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - w = -8, -w = f - 4*w - 15. Let l(g) = g**2 - 9*g + 10. Let m be l(8). Solve 5 = f*y - 5*u, m*u = y - u - 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, k: 2, i: 1, s: 1, c: 1, q: 1}. What is prob of sequence qkw?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, r: 3, y: 5}. What is prob of picking 1 x and 2 r?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 15, 2380.\nAnswer: 2, 15, 2380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(9)\/sqrt(48) + 5 + sqrt(27)) + -2 + sqrt(108)\/(-3*sqrt(576)) + 4.\nAnswer: 27 + 97*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 73 + 1712?\nAnswer: 1785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-10) + 35\/25. Calculate the common denominator of -9\/5 and v + (-61)\/11 - -2.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + 11*z + 4*z - z - 2.\nAnswer: 14*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 4:20 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eleven quarters of a millisecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287503.\nAnswer: 287503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-48))\/((-885)\/(-1770))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13234 - 2?\nAnswer: -13236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -1247237 and -1871.\nAnswer: -1249108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 5*t**2 - t. Let h be y(-5). Let c be 5\/((-5)\/(-99)) + 1 + -4. Suppose -5*j + 2*d + 21 = -c, -h*j - d + 114 = 0. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 131069436 by -6.\nAnswer: -21844906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 201, -1\/6, 2, -6, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*b + 35. Let n(a) = a**2 + 7*a - 2. Let i = -12 - -4. What is the remainder when b is divided by n(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, q: 6, x: 1}. What is prob of sequence kqkk?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32425, -259293, -875071, -2074213, -4051173, -7000405, -11116363?\nAnswer: -16593501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 1 + 3*s - s**3 - 7 + 4*s in the form p*s**3 + n*s**2 + m*s + g and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0758867 to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-21)*63\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1))\/k)**(31\/2)\/(k*k**6\/k*k**(-2))*(k**6*k**(2\/11)*k)\/(k**(-2))**(-7) assuming k is positive.\nAnswer: k**(-579\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s**2 + s - 2. Determine c(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31.9 - 33.57. Let j = f - -1.6858. What is j rounded to three decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 1:31 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 16484?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a + 8. Let g = 7 + -6. Let c = g + -9. What is the tens digit of f(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*l**2 - 24\/11 - 14\/11*l.\nAnswer: -2*(l + 3)*(l + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -14*k - 110 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 4. Suppose -s + 4*y - 11 = -w*s, 5*s + y = 17. Let u = 9 + s. Calculate the remainder when 33 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3326?\nAnswer: 2, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-19)*(1610\/56)\/(-115).\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3554\/5 (b) 6\/5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -72.98 - -0.9\nAnswer: -72.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -118921 and -3?\nAnswer: 118918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1474 + 1459. What is the third smallest value in x, -2\/15, -9?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(2\/27))\/a)\/a)\/(a*a**(-1\/3)*a)*(a**(1\/7)\/a)\/((a\/(((a*a**14)\/a)\/a))\/a) assuming a is positive.\nAnswer: a**(1777\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6472 - 6397 = 5*c. Solve c*r - 4*r - 11 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(1\/(((-21)\/6)\/(-7))). Let g(h) = h**2 + h + 37. Is g(b) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.21 in 1\/3, 3\/4, 1, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 15.1. Let q be -4 + 2 + (-24)\/(-11). What is the biggest value in -1, o, q, -6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -159220 divided by 12\nAnswer: -39805\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k - 1. Let d(m) = m**3 + 6*m**2 + m + 8. Let b be d(-6). Let t be -3 + (0 - 2) + b. Is w(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3956, 3946, 3930, 3908, 3880?\n\"Answer: -3*t**2 - t + 3960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*u - 25, -3*o + o = -3*u - 5. Sort -6, -4, u in decreasing order.\nAnswer: -4, u, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*h + 14 - 23*h - 23*h - 19*h in the form l*h + p and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 3*j**2 + 5*j + 2. Let k be y(4). Let r be 9\/k*-2 - -270. What is the smallest common multiple of (-1)\/4 - r\/(-12) and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -44, -110, -206, -332?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 86689162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 100000111101 (base 2) to base 6\nAnswer: 13433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-60)\/(-520))\/(1\/13). Factor 0 - 3\/2*r**3 + 3*r - s*r**2.\nAnswer: -3*r*(r - 1)*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 72*b**2 + 818*b + 159. Give l(82).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 + 2*l**2 - 2*l**2 + (0*l - l - l)*(-3*l - l + 5*l) + (-30 - 16*l + 30)*(-156*l - 37*l - 133*l) to the form n*l**2 + w*l + p and give n.\nAnswer: 5213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 8:49 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000110010011011000 (base 2) in base 6?\nAnswer: 25224224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 6) to base 11\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*x + 5*t + 69, -82 = -4*x - t. Does 20 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(5*12\/(-390)). Suppose -62*o + u*o = -115. Solve -28 = o*y + 3*q - 0*q, -5*q - 10 = y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 119, 304, 603, 1040?\nAnswer: 1639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12120 and 11156460.\nAnswer: 22312920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 60*i**2 - 14*i + 14. Let w be u(3). Solve 8 = w*g - 477*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97359 is divided by 716.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 38270, 37860, 37450, 37040, 36630, 36220?\n\"Answer: -410*p + 38680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 2.6966882?\nAnswer: -0.6966882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/8)\/(17\/1700*-5). Solve -43*c + 16 = -g - 48*c, 2*c + l = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + -0.3. Let r = -491 - -478.65. Let s = 12.3 + r. Is c greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 868*n**3 - 1697*n**3 + 832*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**3 - 6*q + q**3 - 2*q**2 - 2 - 2*q**2 - q**2. Let n be m(-4). Suppose 126 = n*z - 150. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*i - 11660 = 19888. Let q = i + -954. Solve q*u = -3*u - 4*k + 13, 4*u - 2 = k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/15 - (160\/(-25) - -6). Let r(t) be the first derivative of -1\/33*t**6 + 1\/22*t**4 + 0*t + 1 - 2\/55*t**5 + 0*t**n + 2\/33*t**3. Factor r(p).\nAnswer: -2*p**2*(p - 1)*(p + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 16 - 2*l - 18 + 3*l. Let o(s) be the first derivative of -s**2\/2 + 13. Suppose 0*u = -u - 4*x - 3, 5*u = -4*x + 1. Determine u*z(v) - o(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -224 + 91. What is the remainder when 138 is divided by (c\/38)\/((-1)\/6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -6*m**2 + 2*m + 23. Let o be t(6). Let r = 160 - o. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + (-1*sqrt(117) + sqrt(117))*-3 + sqrt(117))\/sqrt(9) + 4.\nAnswer: 4 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12103?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -141*l**3 - 22981*l**2 + 23450*l - 328.\nAnswer: -(l - 1)*(l + 164)*(141*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 1:48 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {l: 4, p: 4, y: 6, w: 4}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54354 (base 7) to base 2.\nAnswer: -11010011111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 52 = p + 4*g, -3*p - 3*g = 9. Let f = 2 + -3. Let a(l) = l**3 + 6*l**2 + 6*l + 6. Let j be a(-5). Sort f, p, j.\nAnswer: f, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 68, 2.5, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 425 = 4*k - 347. Let h = 2893\/15 - k. Let o = 5 + -2. Sort o, h, 0.3.\nAnswer: h, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2025*(28\/(-21))\/(-4). Suppose n = -5*s + 745. Which is smaller: -2 or s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 651 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/9*-3)\/1. Let i be (1\/3)\/(p\/15). Let t(j) = j**3 - 5*j**2 + j - 4. Let c be t(i). Which is bigger: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 17*t - 37*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 16587*u**2 + 227*u + 695. Is f(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 126254\/119 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)\/sqrt(3))\/sqrt(2) + 5 + 1*(sqrt(17) - (1 + sqrt(153) - sqrt(17))))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10656 and 22644?\nAnswer: 181152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - 74 + 130 = 0 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 + 6*o**2 + 11*o**2.\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 5*g - 3. Let a be n(-6). Let j be 10\/(-65) - 4\/(-26). Suppose -3*q + a = -j*q. Solve 1 = r - o, -q = -4*r + 3*o + 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 + -42. Solve -6 = 5*z - n*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.805 to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 - -41. Suppose 5*c = -15, n + 7 = 4*l + 4*c. Suppose 3*u - v - 139 = 0, 3*u = 4*u + 2*v - 37. Calculate the highest common divisor of l and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*n + 5*r, n - 4*r + 8 = 4*n. Suppose -253 = -5*o + 4*x, -7*o + 277 = -2*o + n*x. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (44 - 28) + -6 + 105352\/(-10530)?\nAnswer: -2\/405","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -17*a**4\/12 + 2*a**3\/3 + 12*a. Find the second derivative of c(d) wrt d.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 10, u: 2}. Give prob of sequence uu.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1092860514.\nAnswer: 2, 3, 179, 339187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 9:58 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 6. Let b be u(6). Suppose -s + 3*s - 8 = b. Suppose -o = -v + 23, s*v + 2*o = -2*o + 68. Calculate the highest common divisor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + i - 3. Let l(j) = -j**3 - j**2 + j + 2. Let n be l(0). Let u be (-114)\/(-12) + n\/(-4). What are the prime factors of w(u)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.313 (b) 1169 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -7 (c) -0.3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.6 + -1.62. Let j = -619.3 + 647. Let x = 28 - j. Are x and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -507 - -873. What are the prime factors of o?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 339724 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 332493?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -y**4\/12 + 17*y. Let q(v) = -v - 1. Let o(b) = -1. Let d(p) = o(p) - q(p). Calculate d(m(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 + 0 + -51)*1\/(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rspsz. Give prob of sequence pzrp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*t + 769*t + 1085*t.\nAnswer: 1715*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -156209676658 - 54\nAnswer: -156209676712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0 = -3, -12 = -c - 5*s. Let d(f) = f**3 + 5*f**2 + 3*f - 4. Let g be d(c). Let l = -1.9 - -2. Sort g, l, -1\/2 in descending order.\nAnswer: g, l, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -9, 15, 8, 4 in increasing order.\nAnswer: -9, -3, 4, 8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*r**3*t**3*v**2 - 3*r**3*t**2*v + 5*r**3*t*v - t**3*v**2 + 4*t**3 + 3*t**2*v + 10*t*v**2 wrt v.\nAnswer: 12*r**3*t**3 - 2*t**3 + 20*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + 0.6. Let y be (0 + (-3 - 0))*(-51)\/(-102). Which is the nearest to 1? (a) w (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/2 - 919*j**2\/2 - 5487*j\/2 - 8217\/2.\nAnswer: -(j + 3)**2*(j + 913)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-14))\/((-3)\/252*-24).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 275455*m + 4. Let a(c) = 19*c**2. What is p(a(u))?\nAnswer: 5233645*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 9:51 AM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 13130724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 840.45681 microseconds to hours.\nAnswer: 0.000000233460225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*s = 73*s + 11232. List the prime factors of s.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -49*l**3 - 49*l**2 - 49. Let d(k) = -5*k**2 - 281. Let r(x) = 3*x**2 + 164. Let t(m) = 7*d(m) + 12*r(m). Calculate j(f) + 49*t(f).\nAnswer: -49*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 176*j**2 - 90*j**5 - 32*j - 150*j**3 - 204*j**3 + 308*j**4 - 8*j**5 = 0. Calculate j.\nAnswer: 0, 4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 2*j**2 + 6*j + 3. Suppose -25 = -4*x - 5. Suppose -t = -y + 37, x*t - 24 = 3*y - 219. Let m be t\/11 + (-2)\/11. Determine n(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**3 + 14*s**3 + 2423*s - 380*s.\nAnswer: 9*s**3 + 2043*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6107 or -6304?\nAnswer: -6107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j**(3\/5)\/j*j))*j*j)\/(j**4*j))\/(j*j*j**(-1))**(-1\/5)*(j**(-1\/3)*j)**(-1\/33)\/(j**(1\/4)*j)**2 assuming j is positive.\nAnswer: j**(-4673\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -72412 and 4.\nAnswer: -72408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 1102*q**2 + 75*q + 214. Is f(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a decade in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -35*t**2 + 5*t**3 + 117*t - 117*t = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + l + 9 = 0, 22*l = 11*l + 33. Put -46, 0, g, 1 in increasing order.\nAnswer: -46, g, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.4 in -0.3, -1\/7, -33?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-186770)\/(-1140))\/(2\/36) + -11. Calculate the greatest common divisor of j and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 224335718 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, j: 2, m: 4, g: 11}. What is prob of sequence ggj?\nAnswer: 110\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11602399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.145*-0.127806\nAnswer: -0.01853187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103197?\nAnswer: 3, 41, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**3 + 2*u + 2. Let b(t) = t**3 - 4 - 13 + 23 - t**2 - 7 - t. Let q = 26 + -31. Let j(a) = q*o(a) - 10*b(a). Find r such that j(r) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61302415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -3*q - 916 - 322, 4*q - 3*p + 1641 = 0. Let x = 414 + q. Solve 3*z + 2 + 13 = -x*a, 4*a = -5*z - 21 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2138*w - f = -2143*w + 15, 4*w - 28 = 4*f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165630 - 0.18.\nAnswer: -165630.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 518752 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1686 + 3523. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24551 + -3?\nAnswer: -24554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 367, 2929, 9837, 23263, 45379, 78357, 124369?\nAnswer: 185587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 5:22 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5579806 is divided by 2680?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 5 = -2*g + 29 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 1794.\nAnswer: -1791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4330460669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2. Let y be 6\/10 + (-76)\/10. Let w = y + 9. Let d(u) = 4*u**w - 1 + 1. What is d(z(v))?\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4254 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**6\/b**(4\/3)*(b*b**(1\/2))\/(b*b**(-5\/4)) assuming b is positive.\nAnswer: b**(77\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, d: 8}. What is prob of picking 2 d?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1182\/(-252) - (-33 + 3990\/140)?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34646 + 23831. Does 6 divide r\/(-75) - 4\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*m - 985 - 328 + 157 for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10382, -41074, -92228, -163844, -255922, -368462, -501464?\nAnswer: -654928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -36. Let d = -0.0195 + 7.0195. Sort k, 2, 1, d.\nAnswer: k, 1, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*i**2 + 43*i**2 - 85*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 - 5.03. Let x = -3\/44 - 2\/11. Which is the third biggest value? (a) -2 (b) t (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 6 - 2) + (0 - 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.98 - -11. Let j(t) = t + 2. Let q be j(0). Which is the smallest value? (a) y (b) 2\/3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(-119 + 119 - 10*z) + 28*z + 16*z - 8*z.\nAnswer: 46*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 364105 = q, 2*q = -5*n + 442812 + 285359. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - (-2 - 1 - ((-3 - 10) + 4)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/40 + (-903)\/(-245) + (-2)\/7. Solve -b - 4 = -j, v*b + 11*j = 10*j - 21 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(((2*sqrt(80)*1 - (5*(sqrt(80) + -2) - sqrt(80)))*3 + 0)*-4 + 1))**2.\nAnswer: -91392*sqrt(5) + 240964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/4*(-282)\/423?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 130 = 5*q, -2*o + 40 - 105 = -3*q. Suppose 0 = 2*y - y - q. Solve -3*j = 4*t + y, -j + 6*t - 5*t = -1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b = 1177104 + 772076. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 796 + 503 + 1011 = 66*k. Let a(n) = -2*n - 5. Let w be a(-4). Solve -w*q + 20 = k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**2*s**2 + 1267*c**2*z**2 - 2*c*s**2*z**2 - 200*c*s**2*z - 4*s**2*z - 2*s*z wrt z.\nAnswer: 2534*c**2 - 4*c*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y - y - 2*y. Let f(j) = -j**2. Calculate f(q(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 278154?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.647 times 0.22?\nAnswer: -1.68234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(4\/3)*u*u**(3\/5)\/u)\/(u**(-2)\/(u**(-6)*u)))**17 assuming u is positive.\nAnswer: u**(-17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110011001000101101 + -1?\nAnswer: -1110011001000101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - -133. Calculate the least common multiple of d and 6.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 737*k + 1567*k - 137256 = -1225*k + 1121*k for k.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -53.47 * 3.28\nAnswer: -175.3816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/((7\/3)\/(-7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 78825 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: Suppose -48 = -11*o - o. Let c be 30\/(-4) + 10\/o. Let x(p) = 2*p + 3. Give x(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*x**3 - 86*x**2 - 6*x + 86*x**2.\nAnswer: -26*x**3 - 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 4*k + 8, -2*k + 65 = -o + 71 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**5 - 612*r**4 - 9348*r**3 - 35666*r**2 - 45741*r - 18810 = 0.\nAnswer: -10, -3, -1, 627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 9 = -5*y, -3*j - 5*y = -2*j - 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1159, -6, 32, 0.4, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76 by -26.\nAnswer: -38\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4746 + -4744. Solve -5*h = -i*m - 28, 0 = h - 5*h - 5*m - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + -2*-5*sqrt(84))*-2)\/(-5*sqrt(192)*6).\nAnswer: 11*sqrt(7)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12127934 and 11.\nAnswer: 133407274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 468 and 997669608?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10339 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r + 1. Suppose 0 = 2*q - 5*m + 15, q - 2*m = -q - 12. Give x(q).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**4 - 637*a**3 + 106107*a**2 - 1485647*a + 5416376 = 0.\nAnswer: 7, 8, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26768 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 9*l + 68. What is the remainder when 24 is divided by g(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -415 = -5*y + 3*z + 261, 5*y = 2*z + 669. Which is bigger: 126 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22818261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*q + 2556 = 0, -2*q = 3*s - 8*s + 4254. What is the third derivative of 5*m**6 + 13*m**2 - 850*m**3 + s*m**3 wrt m?\nAnswer: 600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + 2*x**3 + 0*x**3)*(-4 + 1 + 2).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by -287.\nAnswer: -33\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 7757 divide 276707704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u + 2 + 7*u + u - 12*u + 222*u**2 in the form h*u + l + o*u**2 and give o.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -29*d**6\/10 + 5*d**4\/12 + 6771*d**2\/2 + 971*d. Find the first derivative of g(b) wrt b.\nAnswer: -348*b**3 + 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkcln. What is prob of picking 1 j, 1 k, and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.8 - -7.2. Which is the nearest to -1? (a) z (b) 1 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c + 103 = -n - 82, -3*n - 5*c - 75 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -285a810 - -5?\nAnswer: -285a806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 5. Let h be k(0). Suppose 2*b - 5*w = -w + 16, 0 = h*w - 20. Calculate the greatest common factor of 64 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**3 + 2*k**2 + 4*k. Let g(w) be the first derivative of w**4\/4 + w**3\/3 + w**2\/2 + w - 1683. What is -2*g(a) + s(a)?\nAnswer: -5*a**3 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -18. Let j be ((-7161)\/(-28) - 6)\/(l\/(-20)). Suppose 4*s = 5*h + j, 4*s = -2*h - 144 + 5174. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4924998131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79676028.998956 - -79676391. Let y = -362 + m. Round y to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24907072462 + -4\nAnswer: -24907072466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - y. Let r = -11 + 26. Let q(h) = -5 - 12*h + 3 + r*h. Give -f(k) - q(k).\nAnswer: -k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 9, 50, -0.4, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 11:02 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 8. Let y(k) = -14*k - 2. Let m(u) = 5*u + 1. Let j(o) = 17*m(o) + 6*y(o). Calculate the smallest common multiple of j(x) and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 5*x + 6*x - x.\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76 - 83. Find the common denominator of (508\/(-30))\/(24\/(-10)) and (6 + a)\/(1 + (-18)\/23).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 354933 and 2373.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 5 (b) -3 (c) -8 (d) -179 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/3470?\nAnswer: 1\/3470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 4259, 2\/299?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -1000100?\nAnswer: 111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -7*n**2 - 7*n + 20. What is the first derivative of j(z) wrt z?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/10)\/(2\/8) - 0. Solve -4*y - t*h = 3 + 1, 10 = 5*h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 (base 13) in base 5?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**4 + 72*k**3 + 577*k**2 - 1716*k - 14220 = 0.\nAnswer: -6, 5, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 10, -16749, -2 in decreasing order.\nAnswer: 10, 0, -2, -16749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 61 = r + 50, 4*p + r + 456 = 0. Let t = -128 - 178. Let u = p - t. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-125)*(-165)\/(-99))\/(((-66)\/4)\/(-11))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 96, 207, 346, 519, 732, 991, 1302?\n\"Answer: u**3 + 8*u**2 + 80*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 3*i, 12 = 3*q + 3*i. Solve -3*l - r = r, q*r - 16 = 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 890 = -2*m, -3*h = -4*h + 2*m + 215. Suppose v = h - 11. What are the prime factors of v?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/217 and 25\/11697.\nAnswer: 362607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 112, 345, 726, 1285, 2052?\nAnswer: 3057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-1)*3*(10 - 7). What is the derivative of -38 - 14*n**3 + y + 42*n**3 - 20*n**3 wrt n?\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 4:51 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + 0 + sqrt(931) + 1)**2 + (4*(sqrt(152) - sqrt(152)*2))\/(-4*sqrt(288)).\nAnswer: sqrt(19)\/6 + 930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 66 - n**4 - n**3 + 2*n**4 + n**5 - 66.\nAnswer: n**2*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a tonne in kilograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -16*h**3\/3 - h - 88. Let i(q) = -2*q**2 - 2. Let l(t) = -2*t**2 - 3. Let v(f) = 3*i(f) - 2*l(f). Determine u(v(o)).\nAnswer: 64*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 5*o**2 + 7*o - 6. Let s be k(6). Suppose -1 + 26 = 5*b. Solve 0 = -s*v + b*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11059*s**2*t + s**2 - 6*s*t + 9*s + 12167281*t wrt s?\nAnswer: 22118*s*t + 2*s - 6*t + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1638 and 4569474.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 6384*q**2. Let r(g) = -183*g. Give v(r(p)).\nAnswer: 213793776*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -119 (b) 250 (c) -3\/8 (d) -0.02 (e) 1 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -138 - -744?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 15796.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37.59 - 38. Let g = o + 0.11. Let x = -0.1 + 3.1. Which is the closest to -2\/3? (a) -3 (b) g (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 574215?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 6*u - 6. Let m be b(-5). Let t be -6 + (4 - 0 - 3). Suppose -8 = -h - h. Sort m, t, h.\nAnswer: t, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 174, 176, 180, 186, 194, 204, 216?\n\"Answer: i**2 - i + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 299021877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 17 (b) -3 (c) 108\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(-3)*(-89)\/((-13350)\/180)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.08 minus -107166357?\nAnswer: 107166336.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53019031?\nAnswer: 13, 4078387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -7\/5, 1\/3, 151954?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*k - 141*k = -2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1930 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.6291 rounded to 1 decimal place?\nAnswer: 94.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -11*p - 16. Is d(-8) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 2\/5, -3\/97.\nAnswer: -3\/8, -3\/97, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 1998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, 1\/6, -0.18, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*x + 14*x - 4*x = 48*x + 1515 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37660?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/13, 1\/5, -1, -253\/9, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**3 - 6*r**2 + 74*r + 8. Let l(b) = 5*b**3 - 7*b**2 + 78*b + 10. Give -5*f(g) + 4*l(g).\nAnswer: 5*g**3 + 2*g**2 - 58*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 35*g**2 + 68*g - 64. Let c be t(33). Find the third derivative of -2*x**2 + 7*x**2 - 3*x**4 - 29*x - 15*x**3 - 7*x**2 + 4*x**c wrt x.\nAnswer: -72*x - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -472*p**4 + 188*p**4 - 207*p**4 + (1 - 1 - p**3)*(-4*p + 2 - 2 + 1).\nAnswer: -487*p**4 - p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, p: 2}. What is prob of picking 2 e?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + -20. Let i(x) = x**2 - 5*x + 6. Let h be i(5). What is the third derivative of -j - 5*z**h - 4*z**2 + 8 wrt z?\nAnswer: -600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (4 + -4 + -2 + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245014.\nAnswer: 2, 7, 11, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 1. Let f be 1\/(-3) - (39\/(-9) - -5). Let o(k) be the first derivative of k**4\/4 - k**3\/3 + 1. What is f*o(x) - w(x)?\nAnswer: -x**3 + 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -318*k**3 - 36*k**2 + 32*k. Let v(m) = -127*m**3 - 15*m**2 + 13*m. Determine 5*l(b) - 12*v(b).\nAnswer: -66*b**3 + 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 1:00 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 24?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 76 - 2*u**4 + 80 - 152 + 3*u**3 in the form i*u**4 + v*u + j*u**3 + f + k*u**2 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3634632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 2)*(-2*q + 2*q**2 + 2*q) + (2 + 4 - 7)*(0*q**2 + 2*q**2 + 0*q**2) as x*q**2 + n + m*q and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-10)\/3*13\/4 and -3 - (-70)\/22 - (-6596)\/264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 317 = 1195. Calculate the common denominator of 3244\/j + 4\/18 and 123\/50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*v + 11456 = -4714. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6*r**2 + 16*r - 16. Let z(y) = y**2 - 3*y + 3. Let q(d) = -3*p(d) - 16*z(d). Let u(n) = 4*n**2 + 4*n**2 - 7*n**2. What is u(q(l))?\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 0*x**2 - x**2)*(-2*x + 3*x + 0*x + x + 2*x - x + (-5 + 5 - 2*x)*(1 + 3 - 5)).\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3574*t + 67 = -4*q - 3569*t, -59 = 3*q - 2*t for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 390 - 368. Let h = 0.015020158 - 22.015020958. Let d = a + h. What is d rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 837526209?\nAnswer: 3, 13, 23, 167, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76*q**5 + 95*q**4 - 37*q**3 - 9174551*q**2 wrt q.\nAnswer: 4560*q**2 + 2280*q - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (310\/(22 + -20) - (-1 - -2)) + 6. Which is smaller: x or 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 + 66. Let l(p) = -p**3 + p**2 - p - 4. Give l(a).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1374250 to the nearest integer?\nAnswer: 1172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 443 - 28?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*u + 6*u + 15, j - 3 = -4*u. Let z(v) = 6 + 6*v**2 - v + 2*v**2 - 2*v. List the prime factors of z(j).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15744.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1482 divide 161578014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 2:18 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 6*g - 62. Is 534\/g - 1\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707321?\nAnswer: 707321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1845 + -1549. What is the remainder when x is divided by 277?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o**4\/5 - 2475*o**3 - 965811*o**2\/5 + 2229426*o\/5 - 99360 = 0. Calculate o.\nAnswer: -75, 1\/4, 2, 1104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 882, 900, 928, 972, 1038?\nAnswer: 1132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4934608 and 1586124.\nAnswer: 44411472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (((-984)\/15)\/4)\/(44\/(-132)*(-123)\/(-205))\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1593676?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.6903696 millennia?\nAnswer: 690.3696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7979 divided by -348?\nAnswer: 7979\/348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/152, 0.4, -0.5 in increasing order.\nAnswer: -0.5, -3\/152, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-112)\/(-11) - 1*(-16)\/(-88). Let l = -117 + 123. Solve l*s = -v - 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*l - 16, 2*m = -0*m - 3*l - 2. Put m, 3, -2 in decreasing order.\nAnswer: 3, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 67*f + 626. Let u(x) = -34*x - 315. Let y(t) = 4*q(t) + 9*u(t). Let p be y(-10). Calculate the greatest common factor of 35 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 3*u + 2. Let q be i(5). Let t be (-246)\/10 - q\/(-20). Let v = 42 + t. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1057.8 + 1058.8. What is the closest to 0 in 0.13, -0.2, 4.5, k?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*r**2 - r**3 + 13*r - 6 - 2 - 12*r + 2*r**4 + 6 to the form j*r**4 + q*r + s + y*r**3 + b*r**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -12564 greater than -12564?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -6, 19, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-234))\/(-1)*(-1251)\/1390?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 14*v - 84 = 0. Suppose s - 2*a - v = 5, a = -3*s + 120. Let t = -30 + s. Calculate the smallest common multiple of t and 13.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -8*c**2 - 10*c**3 - 2*c**2 + 11 - 5. Let s(h) = -3*h**3 - 3*h**2 + 2. What is 7*s(l) - 2*t(l)?\nAnswer: -l**3 - l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 - 25. Let h = j + -22. Let s(t) = -t**2 - 6*t - 5. Calculate s(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5187908 divided by 6908\nAnswer: -751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19683 and 2711637.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60272, -121852, -186036, -254126, -327424, -407232, -494852?\nAnswer: -591586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**4\/28 - f**3\/7 + 8*f**2\/7 - 12*f\/7 + 30. Find m such that v(m) = 0.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1)\/p)\/p*p)**(1\/9))**(-3)\/((p**(-4\/7)*p*p**(-2\/3))\/(p**0)**(-1\/2)) assuming p is positive.\nAnswer: p**(19\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4) + (-6)\/12. Let z = -46 + 41. Put z, i, 5 in ascending order.\nAnswer: z, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/45*-6*3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561 is divided by 127?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.0745 - 913\nAnswer: -912.9255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5613591 or -5613593?\nAnswer: -5613593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*f = -2*f + 20, -2*f + 3 = 3*l. Let u = 7.977 + 0.123. Let s = 8.2 - u. Which is the fourth smallest value? (a) -5 (b) s (c) l (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 + -0.3. Let r = -25 - -24. Let f be (-3 - -4) + r + 2. Which is the closest to i? (a) 4\/3 (b) -2\/15 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 2*n**2 + n - 1. Let l = 5 + -4. Let b be f(l). Let s(i) = -i**2 - 4*i. Let y be s(-4). Solve y = -4*z - b - 15 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9 less than -45?\nAnswer: -41.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmnfffmmmnnmmmfff. What is prob of picking 1 f and 2 m?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/2 - 1552926*x**2 - 2411576055621*x\/2 + 2411582267329.\nAnswer: -(x - 2)*(x + 1552927)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371194*i = -371164*i - 750 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 6*g + 12. Let c = g + 45. Let l be (20\/6)\/(19\/c). Calculate the greatest common divisor of l and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26.5 + -3.3. Let d = -2.8 - y. Let t = d - 26.934. Round t to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 10:42 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**5\/20 - 5*g**4\/12 + 2*g**3\/3 - 6*g. What is t(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 93974422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/2*-8 - -5. Let z be (u - 0)*(-30)\/6. What is the biggest value in -6, 2\/5, z?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 - 3)*(-9*g - 19*g - 20*g) + 23*g - 6*g + g to the form a*g + j and give a.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + 6 - 10) + (2 - 14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 285\/(-3)*2\/(-5)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 957917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5250323 (base 8) to base 7\nAnswer: 14605506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 - 27*d - 27. Let l be a(-1). Put 8, 16, l in increasing order.\nAnswer: l, 8, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 3*f - 30, 0*g + 4*f - 19 = -3*g. Let x be (-4)\/(-6) + (-6)\/g. Solve 4*k + 2*h - 8 = 0, -k - 3*k + 2*h = x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 + 3.2. Let m = c + -2.9. Let w be ((-2)\/24)\/(6\/27). What is the closest to m in 2, w, -5\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtejeceeeectcvctbe. Give prob of sequence bv.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 93.94275 kilograms?\nAnswer: 93942750000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (138\/30 - 5)\/((-4)\/160). Is 17 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 74*n + 45. Calculate d(0).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(2845*n**3 - 753*n**3 + 582*n**3).\nAnswer: 2674*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2887 (base 10) in base 14?\nAnswer: -10a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 47 = -c + 10, 4*r = -5*c + 129. Find the third derivative of 10*j**5 + r*j**2 - 3*j**2 - 3*j**5 + 11*j**5 wrt j.\nAnswer: 1080*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -35, -61, -85, -107, -127, -145?\n\"Answer: d**2 - 29*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -170 > -1721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 3*x**2 + 6*x - 4. Suppose 0 = -l + d - 6, -3*d = 2*l + d + 6. Is i(l) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22002, 44002, 66002, 88002, 110002?\nAnswer: 132002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/24 of a week?\nAnswer: 25200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3051362 - -2?\nAnswer: -3051360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2006 rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -65, 1901, 0 in ascending order.\nAnswer: -65, -2, 0, 1901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230217 a multiple of 436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*w + 8605 - 8605)*(w**4 + 3*w**4 + 0*w**4).\nAnswer: 208*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 538*j. Let b(v) = 3*v + 30. Give b(p(y)).\nAnswer: 1614*y + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -h + 6. Suppose r = h*f - 6, 5*f - 4 = 16. What is the closest to -1 in r, 3\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q**(-2\/5)*q)\/q))**47\/(((q*q**(-3\/8)\/q)\/q)\/(q**(4\/7)\/q)) assuming q is positive.\nAnswer: q**(18689\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 4 + 5 + 1923*z - 1919*z - 23*z**2 in the form r*z + k + m*z**2 and give m.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**3 + 2*f**2 - 2*f + 9. Let y(q) = 4*q**3 + 2*q**2 - q + 9. Let k(i) = -3*u(i) + 2*y(i). Is 7 a factor of k(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - (-3)\/3 - 2. Suppose -3 - 2 = u, -4*b + j*u = -35. Solve -n = 5*m - 29, 0*m + 4*n - 41 = -b*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**2\/3 + 3327648*x + 8304930908928 = 0.\nAnswer: -4991472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 128094 and 19980?\nAnswer: 11528460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 - -57. Suppose -4*u + d - 4*d = -q, -4*u + 127 = -3*d. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 55\/3 of a hour?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 113*d**2 - d. Let k(r) = 101715*r. Determine n(k(y)).\nAnswer: 1169091358425*y**2 - 101715*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 12, 2\/5, -13, -2\/13, 0.976?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28 + 132 + 191 - 57)*(-2*i**2 - 66*i + 66*i) to the form h*i + a*i**2 + p and give a.\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - q - 1. Suppose -2*v - 2*b = 2, 5*v - 2*b + 1 = 10. Let p(d) = -5*d**2 + 2*d + 5. Let n(u) = v*p(u) + 4*a(u). Calculate n(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 + 3*i**2 + 976*i**3 + 509*i**3.\nAnswer: 1485*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11122010 + 2?\nAnswer: 11122012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 0)\/(8 - 6). Suppose q = 2*l - 5, 5*l + u = -3*q - 2. Is q greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.05, 55, -4, -0.238, 6.\nAnswer: -4, -2, -0.238, 0.05, 6, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 4*c + 73, 35 = 3*v - 7*c + 61 + 78 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 752 = 10*k. Let a = -41 - k. Solve a + 2 = 2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**5\/30 - w**4\/12 - w**3\/6 - 8*w**2. What is t(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.83 - -0.17. Let m = -23472 + 23469. Which is the closest to -3? (a) v (b) 4\/7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 7*h - h**2 - 3*h**2)*(168 - 80 - 86).\nAnswer: -8*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -3 - (1 + 3 + -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**2. Let s(j) = -8*j**2 + 27*j. Give s(l(q)).\nAnswer: -72*q**4 + 81*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*n - 2. Suppose -20 = -o - n. What is the first derivative of -3*k + 12 - o + 13 wrt k?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - (92 + -16 - 6)) + -4?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h - 7*h = -3754*u + 3750*u - 140, -5*h - 84 = 2*u for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11230*t - 6355*t + 9068*t + 28429*t + 23335*t.\nAnswer: 65707*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/2)\/(7\/42). Factor -h**4 - 16*h**2 - 5*h**3 - 17*h**2 - 40*h - 16 - h**3 - 4*h**b.\nAnswer: -(h + 1)**2*(h + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12788*j**2*x**2 + 427558*j**2 with respect to x.\nAnswer: -25576*j**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) - sqrt(1440)*-4)\/(-1*sqrt(392)).\nAnswer: -25*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 53. What is the smallest value in -2\/3, 2\/7, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129 = 85*v + 3*y + 542, 4*v - 3*y = -41 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1c53b (base 13) to base 12\nAnswer: 28378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*j = 1, 13*x + 3 = 16*x - 3*j. Which is the smallest value? (a) 1 (b) -0.1 (c) x (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -2. Let g be i - 0 - (0 + 0). Suppose -2*c - c + 18 = g. Calculate the greatest common factor of 66 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125578499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14734 or 12966?\nAnswer: 12966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99417145 to the nearest integer?\nAnswer: 9971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 289, 636, 1117, 1732, 2481?\nAnswer: 3364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 times 0.01?\nAnswer: -1.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t - 66160. Let p(v) = 67*v**2. Give w(p(z)).\nAnswer: -335*z**2 - 66160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5129 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21.7 - -22.7. Let u = 0.3 + 3.4. Let v = u + -4.1. Which is the closest to q? (a) 0.4 (b) 0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, r: 1, g: 3, f: 3, u: 3}. Give prob of picking 2 f.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9079.419 weeks in microseconds?\nAnswer: 5491232611200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-8 + -2) - (-18 + 25 - -123 - 12)\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*q - 85 = -q, b = -4*q + 20. Suppose 3*j - 6*j + o + b = 0, 4*j + 5*o + 4 = 0. Solve m**5 + m**2 + 3*m**j - 3*m**3 + 0*m**5 - 2*m**5 = 0 for m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*14\/36*(-170)\/(-119).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-725 - 571 + 1434)*(-3*y + 2*y + 0*y) in the form f*y + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 576 and 14346.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 42818*u - 271. Let s(w) = 793*w - 5. Let j(k) = 5*n(k) - 271*s(k). Let z(y) = 2*y. What is j(z(a))?\nAnswer: -1626*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 469746637*t**5 + 190808650*t**2?\nAnswer: 28184798220*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41.19 - -41.19. Let r(g) = g**3 + 8*g**2 - g - 4. Let n be r(-6). Let f be 3 - (n\/13)\/2. What is the nearest to -3 in 0.3, w, f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/4692 and 151\/9108.\nAnswer: 154836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 364 divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 7*t**2 - 5*t + 18. Let y(z) = -3*z**2 + 2*z - 8. Let a(u) = -2*p(u) - 5*y(u). Let o(n) = -n**2 - n - 4. Let s(d) = -3*a(d) - 2*o(d). Give s(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96 - 137. Let w = -22 - h. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0992 - -0.4992. Sort z, 0.3, 2\/89, 2\/7 in increasing order.\nAnswer: 2\/89, 2\/7, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y + 36 = -3*y. Put 3, y, -1, 5 in descending order.\nAnswer: 5, 3, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -28?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -162 (base 10) to base 15\nAnswer: -ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 2:55 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 5:09 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 - 4*f**2 + 28*f - 5. What is the hundreds digit of h(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 54.14028 to one decimal place.\nAnswer: 54.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -89 - (6 + 0 + -37 + -29 + 46)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**8\/336 + d**7\/105 + 7*d**6\/30 + 23*d**5\/30 + 7*d**4\/8 + 653*d**2 - 4. Factor g(n).\nAnswer: -n*(n - 7)*(n + 1)**2*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 875 - -5 - (2\/(-1))\/2. Suppose -13*b + 4040 = f. Calculate the remainder when b is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 0 - -10) + -6. Let q(o) = 3*o. Let c be q(1). What is the derivative of -c*g**2 - n + 2 + 2*g**2 + 5*g**2 wrt g?\nAnswer: 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211321 (base 4) to base 10.\nAnswer: -2425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*n - 9*n - 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -201, -203, -209, -219, -233, -251?\n\"Answer: -2*m**2 + 4*m - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4014 < 16057\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 6) to base 4.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -370428*f**4 - 122270*f**2 + f?\nAnswer: -8890272*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -421 - -50300?\nAnswer: 45435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1646 + 1646 - 97*u**2)*(-2 + 2 + 3)*(-6*u + 4*u + 14*u) in the form z + f*u**3 + y*u + d*u**2 and give f.\nAnswer: -3492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1384*k - 1394*k = -110 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47536173?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8092227 is divided by 4032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3ee91 (base 16) to base 10.\nAnswer: -257681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 3*x**2\/4 - 21*x\/2 + 39\/4 = 0?\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2233752 take away 3?\nAnswer: 2233749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-115)\/(-46))\/(100\/(-720))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 45?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 145\/580 - (-103606)\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -2\/10371 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/1869 and 95\/12.\nAnswer: 7476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 + 0.5. Let u = -0.98 + w. Let k be 3*((-7)\/(315\/250) - -6). Sort u, k, -2 in increasing order.\nAnswer: -2, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12515087 rounded to the nearest ten thousand?\nAnswer: 12520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 676 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, 0, 3\/2, -2, 1\/2, 4\/95, -3\/4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 3*l**2 - 4*l. Let i be z(-3). Find the first derivative of 6*o**4 + i - 5 - 8 wrt o.\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.243 + 0.29. Let b = j + -0.53300087. Round b to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 3 (b) 2\/1771 (c) 1\/7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 225 + 55. Let b = -53 - i. Suppose -4*g + 5*x = -63, g + x = b*g - 39. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 3)\/(-2 + 0). Which is bigger: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by -1216463.\nAnswer: -23\/1216463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48071184 to the nearest integer?\nAnswer: 6933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -525c5?\nAnswer: -525c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-8 - -8 - -10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-seven halves of a kilometer?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 11*v**2 + 2*v - 15. Let t be o(11). Let q = t - 8. Let g be -3*(-1 + 28\/18). Is g < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwkrkru. Give prob of picking 2 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -62, -174, -360, -620, -954, -1362, -1844?\n\"Answer: -37*b**2 - b - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 74597 - 0*((-3)\/8)\/(66\/88) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001116 rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 384048?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -116 - 178. What is the common denominator of ((-1)\/(-22))\/(4 - 3) and (3 + l\/4)\/(8 + -2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 54*u - 24*u - 38*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(-154*n - 8*n - 999 + 161*n).\nAnswer: 2*n + 1998","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**2\/4 - 9*d\/2 + 54 = 0. What is d?\nAnswer: -12, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -758\/23 - -6868\/207. Which is the nearest to -0.7? (a) y (b) 4 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/9)\/((-10)\/12)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/4 - 45*p\/2 - 2025\/4.\nAnswer: -(p + 45)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3*d = 1530, 2*a + 3*a + 1555 = 2*d. Let n = a - -816. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-4))\/(-4)*35\/490.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**5\/4 - 5*w**4\/4 + 5*w**3\/6 + 15*w**2\/2 + 5*w. What is h in m(h) = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 1 (c) 2 (d) 0 (e) 5 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 0)*(-2 - 3 + 4)*(-32 - 16*n + 32)*(1 - 3 + 1)*(-n - n + n).\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2175 = -22*i - 2439 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1395 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41787 = 128*h - 25413. Calculate the greatest common divisor of 2247 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + (-2*(-1 + (5*(sqrt(242) + 4) - sqrt(242)) + sqrt(242)*-1*1 + sqrt(242)))**2).\nAnswer: -101562 - 40128*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*l = 72, 3*y = -y + 3*l + 61. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 705*p - 6357. Determine o(10).\nAnswer: 693","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 5*i - 32. Calculate q(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d - 1. Suppose -5 - 3 = 4*w - 3*y, 2 = -w - y. Let m(n) be the third derivative of 0*n + 0 + 2*n**2 + 1\/2*n**3 - 1\/24*n**4. Determine w*h(p) - m(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-93 + 86 - (0 - -13)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 479 + -487. List the prime factors of -5 + (-11542)\/(-16) - (-3)\/w.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + g + 1. Determine p(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -73 - 8*g**2 - g**2 - 76 - 72 + 227 in the form p*g + w*g**2 + z and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 - m - 5. Let r be o(-3). Suppose r = n - 13. Let x = n + -35. Let l(k) = -k**3 - 8*k**2 - 9*k - 4. Calculate l(x).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.051 and -0.014?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7434 is divided by 3713?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g**(-1\/23)\/g)\/g*g)\/g**(-1\/4))**(-2\/43) assuming g is positive.\nAnswer: g**(-19\/1978)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13365479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14619 is divided by 7299.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = j + 128, -4*f = 2*j - 3*j - 102. Suppose 4*y - 6 = -2*o - f, -4*y + o = 14. Find the common denominator of 59\/6 and (-3)\/y*(-140)\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15753331 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 3 + 2)*(40 + 78*o - 68 + 25) in the form j*o + l and give j.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 487 (base 13) to base 14\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -9*o**2 + o + 45. Determine h(-8).\nAnswer: -539","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3*r = r. Let p be r + 10\/5 - -3. Suppose p*b - 3*n - 475 = 0, -n = 4*n + 25. List the prime factors of b.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1074300 (base 14) to base 12.\nAnswer: -2747824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270 = -16*k - 29*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.165946 rounded to 2 decimal places?\nAnswer: 2.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -543 bigger than -541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 12 = 52. Let u(z) = z**3 - 5*z**2 - 10*z. Let a be u(7). Suppose 2*y + 2*y = a. What is the remainder when i is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2. Let r(g) = 117*g - 3. Let h(t) = 175*t - 5. Let s(v) = 5*h(v) - 8*r(v). Give s(q(y)).\nAnswer: 122*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 1 - 3*f + 7 - 21*f - 10 + 2*f + 0*f + f + (-2 + 4 - 1)*(3 - f - 3) as v*f + r and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3124 - 9354 + 3117 - 4*m**2 + 3113.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1077338658, -2154677318, -3232015978, -4309354638, -5386693298?\n\"Answer: -1077338660*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 857577, 857452, 857329, 857208, 857089, 856972?\n\"Answer: l**2 - 128*l + 857704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8975 and 4308.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1426233.595 rounded to the nearest 10000?\nAnswer: 1430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 + 1. Let s be p(-1). Let y = s + 13. What is the greatest common divisor of 16 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 182 + -170. Solve 0 = 10*l - 6*l - q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2121263 times 13\nAnswer: 27576419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/3))**(-20)\/((p\/((p\/p**11)\/p)*p)\/p**(3\/8)) assuming p is positive.\nAnswer: p**(-463\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(3\/5)*y**4)**(-26)*(y*y**(-1\/2))**(-24)*y**(-7)*y*y**(-4\/3)\/y assuming y is positive.\nAnswer: y**(-2021\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*g - 2*g - 6*g)*(3 - 3 + 3*g**3) + 10*g**4 - 21*g**4 + 10*g**4)*(-3*g + g + g).\nAnswer: 16*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**2*o**3 - 32*h**2*o**2*p**2 + h**2*o + 14*h + 3*o**3 + 6*o**2*p**2 wrt h.\nAnswer: 4*o**3 - 64*o**2*p**2 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -4, -6\/11, -25.1, 13.1?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*f + 705 = -1468, f - 2167 = 4*x. Let o = x + 539. Let q(j) = -21*j - 1. Determine q(o).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.61 and 193.327.\nAnswer: 189.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cl when two letters picked without replacement from {m: 2, t: 2, n: 2, l: 1, c: 1, h: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -21*h + 60. Calculate v(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8227, -32945, -74149, -131845, -206039, -296737, -403945?\n\"Answer: -j**3 - 8237*j**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -736 >= -736?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -188*k + 168. Let y(i) = -21*i + 18. Let w(h) = 3*j(h) - 28*y(h). Let d(p) = 29*p**2. Calculate w(d(c)).\nAnswer: 696*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5 or 180?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 16 + -21 + 19 + -3.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -10*z. Let l(k) = -k**3 - 10*k**2 - 12*k - 28. Let n be l(-8). Let w = n - -61. Give y(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8816824 a multiple of 524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3479 and 213?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**2 + 8*r**2 + 0*r - r)*(-17 - 29*r**3 + 17).\nAnswer: -116*r**5 + 29*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*8\/(-56) - (-91)\/70.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b - 28. Let d be z(13). Let v be (-5)\/d + (-1)\/(-2). Suppose -v*h + 4*n = -24 - 5, 0 = -5*h - 2*n + 57. Solve 3 - h = -2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wswwwwwsw. What is prob of picking 3 w?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 12*a - 26. Suppose -16*n = -a*n - 2400. What is the greatest common factor of 15 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/((70875\/100)\/(-35)) + ((-8)\/18 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134910742 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -t - 3*d + 57, -4*d - 155 = -3*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2222221002 - 21?\nAnswer: 2222220211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 11774?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2041513231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1758*x**3 - 8500 wrt x.\nAnswer: -5274*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 c when four letters picked without replacement from rchrchcrc.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567019242 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 14*f - 10*f - 4*n, 2*f + n - 12 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5743 + 1378. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*o**3 + 0 + 0*o - 1\/3*o**2.\nAnswer: -o**2*(o + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - -28.26. Let a = w + -0.06. What is the biggest value in -3\/5, 5, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-10)\/b*b*b**(8\/9)*b**(2\/7)\/b*b*b*b**22)**33 assuming b is positive.\nAnswer: b**(9823\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/32 - (-447)\/12. Let p be 0 + 4 - (c + 1). Let s = p + 49. Solve 9 = -5*u - 3*l, 0 = -5*u - 3*l - 2*l - s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2 + 15*g - 14. Let j be z(3). Solve 0 = 3*y - r + 2, -y + 7 = -j*r + 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*j + 7465 - 2*j**2 + 3*j - 7686 in the form b + g*j**2 + l*j and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 15 = w - 5*n, -4*w + 2*n - 6 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from ffufafufdz.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -116, -239, -350, -443, -512, -551, -554?\n\"Answer: m**3 - 130*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -333, -1095, -2577, -5019, -8661?\nAnswer: -13743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3563\/6 + -594. Let h = -33\/2 + 101\/6. What is the nearest to 5 in s, 4, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -15. Suppose 0*j = 3*j + p*g + 16, -20 = -2*j + 5*g. Suppose -t + 3 = -j*t. Is t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.104 times 118\nAnswer: -12.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4)\/((2475\/1452)\/(-75))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c + c - 94 + 196 - 91.\nAnswer: -2*c + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 34 = -x, 5*k + x = 5*x + 59. Let y = k + -12. Factor -4*g**3 + 8*g**y - 20*g**2 + 32*g - 8*g.\nAnswer: 4*g*(g - 3)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 + 109. Suppose 3*a + l = 5*h, -4*h + 3 = 5*a - 46. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w - 87. Let d(y) = -1521*y. Give o(d(k)).\nAnswer: 3042*k - 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*o - 5251 = 5362 - 3028. Which is smaller: o or -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 29*v**2 + 24*v - 67. Let p be s(-28). Sort -4, 1, -2, p.\nAnswer: -4, -2, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 10:35 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 13. Let k(y) be the third derivative of -1\/120*y**6 + 0*y**3 + y**w + 0 + 0*y + 0*y**5 + 1\/12*y**4. Find the second derivative of k(n) wrt n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 1 - (-20 + (10 - 47) + 25 - 80).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + -3*sqrt(2) + sqrt(128) + -3)*-1)**2.\nAnswer: -500*sqrt(2) + 1350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 7*j)*(-3 + 6 - 4) - 19 + 9*j + 19.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(180) + 1*sqrt(180) + -2 - sqrt(180)) + -4 + 3 + (1*sqrt(180) - sqrt(180))*6 + sqrt(180) + 0)*-2)**2.\nAnswer: -288*sqrt(5) + 2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 3, -1\/9, 10, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13344 (base 5) to base 12.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -10, -2\/17, 0.3, 8\/3, -0.032?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 67748, 135502, 203252, 270998?\n\"Answer: -2*a**2 + 67760*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151692?\nAnswer: 2, 3, 12641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7921 and 10502.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 36190371 - -157063\nAnswer: 36347434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -47390346 + -1?\nAnswer: -47390347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (21 + -3 - (-5 + 14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 = -17*a - 5*u - 16, 4*a - 3*u + 14 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 2. Let f = 5 + g. Suppose 4*d - f*d = 5*u - 16, 3*d = -5*u + 58. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4367 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 35. Suppose -l + 9 = -2*m. What is the remainder when 9 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7*d**2 - 9*d - 4. Let g(h) = -h**2 - h. Let f(m) = -6*g(m) + p(m). Let z(t) = t. Let b = -11 - -7. Let r be z(b). Calculate f(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -346 + 500. Suppose 3*r + r - h = -2*u, 3*r + 5*u = 133. Let k(x) = -2*x + 4. Let d be k(-4). What is the highest common factor of r and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = 2*p + 20388*y - 20387*y, -5*y - 93 - 256 = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 303\/(-27) + (-10)\/(-45). Let j = 42 - 28. Let n = q + j. Solve n*g + 10 = 8*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**4 + 27210*m**3 + 61725804*m**2 + 122690040*m - 1480115232 = 0. Calculate m.\nAnswer: -4534, -6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 15*h**2 - 21*h + 656. Calculate the remainder when c(16) is divided by 160.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 67\/4 of a meter?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -123.\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6\/35, 2, 2\/7, 0.1, 1 in descending order.\nAnswer: 2, 1, 2\/7, 0.1, -6\/35, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-14) - 12\/(-14). Let j = 1 - 0.95. Let u = -0.35 + j. Put b, -1\/4, u in descending order.\nAnswer: b, -1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02 + -0.22. Let m(w) = w**3 + 9*w**2 - w + 20. Let v(z) = -z**2 - z - 1. Let f(i) = -m(i) + 3*v(i). Let j be f(-12). Is l smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -369\/8 + 275\/8. What is the common denominator of 5\/388 and d?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 7:24 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x. Let m be l(-1). Put -4, -3, m in ascending order.\nAnswer: -4, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/1)\/((-12)\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 141\/278 + -1 + 3. Let y = -1\/139 + q. Let c(b) = b - 11. Let m be c(13). Is y >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k - 1. Determine l(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 - -84. Suppose -41 = -2*c + q. List the prime factors of c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9686 = -9*f + i - 6*i, -1104 = -f + 5*i. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) 0.1 (c) -84 (d) -0.19 (e) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7151813 (base 10) to base 2\nAnswer: -11011010010000011000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 = 37*m + 296 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*s - 15 = 80*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -6*q**2 - 12*q - 3. Let a be f(-11). Let p = a - -114. Let c = -278 - p. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**5 - 4*k**3 + 9*k + 4. Let q(y) = 2*y**5 + 9*y**3 - 19*y - 9. Let c(r) = 4*q(r) + 9*s(r). Find the second derivative of c(z) wrt z.\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 3*g**2 + 46*g + 138. Calculate y(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 - 415*o**2 - 8400*o + 8820.\nAnswer: -5*(o - 1)*(o + 42)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 76\/95 + ((-1)\/(-1))\/(-20). What is the nearest to -1 in x, -3\/7, 4\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -22, 5, 978, 4, 1 in decreasing order.\nAnswer: 978, 7, 5, 4, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 1.5. Let j = -401 - -401.5. Let y = -259 - -260. Which is the closest to y? (a) r (b) 1\/6 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279389?\nAnswer: 11, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 2\/7 (c) 0.5 (d) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/(3344\/1320)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3111563?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16233807 and 11145?\nAnswer: 2229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 848*t = 852*t - 22, 5*t = 25. What is the third smallest value in 0.4, 9, 1\/2, s, -0.059?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q = -27 + 92 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -174558 divided by 3714?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2827469 or 2827471?\nAnswer: 2827469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 11. Let j be k(-7). What is the third smallest value in 2, -0.2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000101 (base 2) to base 16.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 91*r + 82*r + 6*r**3 - 2*r**2 - r**2 + 11*r**3.\nAnswer: 17*r**3 - 3*r**2 - 9*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 761 or 1516?\nAnswer: 761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-5 - -3) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 z when three letters picked without replacement from {z: 11, r: 9}.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 + 21. Let f(w) = 2*w**2. Calculate m(f(c)).\nAnswer: 8*c**4 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6120, -12276, -18432, -24588?\nAnswer: -30744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*d - 4*b = -63786, -d + 31858 = -5*b. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*1*sqrt(2058))\/(sqrt(12)\/(-1*sqrt(128))).\nAnswer: -5 + 112*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*h - 4*f, -4*h - 4*f = -2*h. Suppose 2*l + g - 1229 = -484, -2*l - h*g = -744. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.98 + 0.02. Let y be 2 + -4 - (-32)\/14. Suppose 0*v = -5*v. Which is the closest to v? (a) k (b) -2\/17 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -555, -2194, -4911, -8694, -13531, -19410, -26319?\nAnswer: -34246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31061*m + 49949*m - 30003*m to b*m + o and give b.\nAnswer: -11115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, k: 1, q: 7}. Give prob of picking 2 q.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - z + 4. Suppose -3*b = -b + z. Is 1\/8 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 291444 divided by -894\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16283.\nAnswer: 19, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*n*r**2 - 10*n*r - 159*r**2 wrt n.\nAnswer: 9*r**2 - 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 + (-75)\/10)*1\/(-5). Which is the nearest to 0? (a) -0.1 (b) 0.3 (c) u (d) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3375699840 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3057.38023 rounded to the nearest 10?\nAnswer: -3060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -5. Suppose -2*m - y - 8 = 0, 20 = -2*m - a*m - 4*y. Is (-148)\/(-16) - m\/(-8) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 600 and 70.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/10)\/y**6*y**21*y\/y**(-21) assuming y is positive.\nAnswer: y**(373\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48090)\/(-252))\/(-229)*4\/25.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*h**2 + h**3 - 2*h**2 + h**2 - 69*h + 66*h to the form s*h**3 + k*h + f*h**2 + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 19*s - 79. Let h be (-30)\/(-8)*(-44 - -48). Let n be i(h). What is the biggest value in n, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -454 + 462. Suppose 0 = -l, -l - 2 = -n + 5. What is the smallest common multiple of f and n?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30901229869 - 0.2?\nAnswer: 30901229868.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3 = 5*t, 4*t - 15 = -2*p - 3*p. Let z(x) = x + 6. Let n be z(-5). Let b be ((-7)\/28)\/(n\/4). Which is smaller: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/15, 4, 45, -9?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 15 = -1, 5*b + 12 = 3*t. Suppose -2*g + 287 + 73 = b. Suppose 10 - g = -s. What is s rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + sqrt(2057) + -1).\nAnswer: -2 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -6. Let f(g) = 4*g**2 - 1 + 7*g + 4 - j*g**2. Calculate f(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 8:26 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1))**30\/(c**2)**7 assuming c is positive.\nAnswer: c**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95 and 1501.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85 + 8 + 58 + 18)*(4*q + 7*q - 4*q).\nAnswer: 1183*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2\/((21854\/(-13107) - (-5)\/3)\/(-3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 158*a + 3. Let k(z) = -315*z - 7. What is -9*g(c) - 4*k(c)?\nAnswer: -162*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*j + 11088 = -75*j. Suppose -3*g + j - 1191 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**3 - 100*v**2 - 85*v + 186. Let b(x) = -20*x**3 + 600*x**2 + 510*x - 1115. Let o(p) = 4*b(p) + 25*f(p). Factor o(a).\nAnswer: -5*(a - 1)*(a + 2)*(a + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 9:41 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 127*i**2 + 4*i + 5. Suppose 0 = -2*u - 19 + 5. Let r be m(u). Round r to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 2*c = -10, -k + 5*c + 19 = 0. Determine d, given that 3*d**3 - 32 - 22 + 39*d**2 + 3*d**4 - k*d - 12*d**3 + 30*d**3 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2645918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**4 - 167*g**2 - g + 6*g**3 - 113*g**2 - 2*g**3 + 92*g**2 - g as a*g**3 + k*g**4 + h + u*g + j*g**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1132322 (base 6) to base 4.\nAnswer: 32113322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 61 = -w, 3*s - w = -2*s + 289. Suppose h + 5*r = 7, -3*r - s = -h - 2*h. Let l(y) = -13*y + 2. What is the remainder when l(-5) is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(144))\/(sqrt(192)*-1).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-2)*8\/(-12). Let x be -1 + j*1\/(-3). Let d = 1176 + -1173. Which is the nearest to x? (a) -3\/4 (b) d (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 71009 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 23*v**2 + 33*v + 232. Let d be z(-24). Let c(b) = -b**2 - 5*b + 1. Let h be c(-6). Let k = -1 - h. Solve 0*x = k*x + d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32488912167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p - 14*p - 13*p = -50. Which is the second smallest value? (a) -4 (b) p (c) -56 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-60 - 15) - -116\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v**3\/3 - 1313*v**2\/3 + 3477*v + 3915 = 0. Calculate v.\nAnswer: -1, 9, 1305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 4. Let q be d(-6). Suppose 2*y + 5*a = -24, 18 = -5*y - 0*y - q*a. What is the smallest common multiple of y\/(-1) - (-2 - 4) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89 - 84. Suppose -2*u = t*l + 1259 + 1456, -2*l = -4*u - 5490. Round u to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -4*g - 45, 3*k + 8556*g = 8558*g + 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 3*z - 3, 0 = -2*s + 7*z - 9*z + 12. Let p(c) = c**3 + c**2. Let x(w) = w**3 + 3*w**2 - 1. Give s*p(q) - x(q).\nAnswer: 2*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-3) + 2653\/21.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 8*z**2 + 2*z + 66. Let q be h(9). Solve 2*l = 1 - q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4261719 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3315275, -17, 4 in increasing order.\nAnswer: -17, 4, 3315275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -587446*h**3 - 1338849*h**2.\nAnswer: -3524676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**3 - 10*m**2 - 4*m + 32. Let u be a(17). Round u to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 16*r + 102. What is q(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) 5 (c) -16 (d) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 4:34 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o - 2014 - 5512 = -108*o + 19*o for o.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -6. Let y(o) = -4 + o**2 + o + 2 - 4*o - q. Calculate y(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3196097.\nAnswer: 37, 86381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 5:50 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1218477?\nAnswer: 3, 13, 157, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90610, -177525, -264440, -351355, -438270?\nAnswer: -525185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 42546, 169553, 381020, 676947, 1057334, 1522181, 2071488?\n\"Answer: 42230*a**2 + 317*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 times 0.133\nAnswer: -1.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 17*l - 5)*(l - 13*l**2 - l) - 137 + 137 + 13*l**3 to p*l + w*l**3 + c*l**2 + o and give w.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 334589605 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 30 = 50. Let h(l) = 29*l**2 + 2*l + 7. Calculate the remainder when h(-2) is divided by c.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -97*a - 39. Is 42 a factor of r(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0) + 4 + -5 - 12.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 7 = -d, -d + 2*d = f - 1. What are the prime factors of f\/21 + 750\/21?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-3)\/o)\/(o**(-9)*o))\/(o*o**10*o**(8\/5)))**(-10\/17) assuming o is positive.\nAnswer: o**(76\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -154*w - 1. Let x(m) = 153*m + 11. Let k(a) = 2*s(a) + 2*x(a). What is k(15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 818732 is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1681546?\nAnswer: 2, 683, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2424 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = r - 5*m - 0*m, -4*r - m = -10. Suppose -4*p = -r*p - 12. Let l = -4 + p. Which is greater: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/14*(50\/(-15))\/(40\/(-112))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -153651.\nAnswer: 2\/153651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 663650 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -688, -39, 2\/3, 2 in descending order.\nAnswer: 2, 2\/3, 0.1, -39, -688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140936 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-4*1\/2). Let k(i) = -2*i - 5*i - 6*i**2 - 8 + 3*i**j - 4*i**2. Let l(w) = w**2 + w + 1. Give -k(p) - 6*l(p).\nAnswer: p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6502*h + 182907 = 180769 + 212588 + 225184 for h.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/11 (b) -2\/13 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*a - 38, 5*a - a - 8 = 0. Suppose -r = 2*u - 4*p - 0*p, -3*u + 5*p = 18. What is the common denominator of -53\/3 and 74\/u*(-3)\/54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 40\/(-12)*48\/(-20). Let h(s) = -14*s - 15. Let b(o) = -6*o + 3. Let z(y) = -49*y + 23. Let q(v) = -40*b(v) + 5*z(v). Determine u*q(j) - 3*h(j).\nAnswer: 2*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 20 = -2*f. Suppose 91 = f*d + 3*a, -d - a = -6*d + 128. Suppose -k = b - d, -4*k - 3*b = -10 - 86. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -35 - cd0c5?\nAnswer: -cd0fa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/8478 and -13\/2585790.\nAnswer: 2585790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 3*f + 35*m - 36*m, -2*m = 2*f + 22 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2573 = -2555. Let u = 0 + 6. Let k be u*(1 - (-3)\/d). Solve -7 = -5*a + k*q, 3*a + 4*q - 23 = -2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222799 >= 222799?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*c - 2 + 52*c + 4*c**2 + 21*c - 35*c + 13*c**2.\nAnswer: 17*c**2 + 120*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3636304.\nAnswer: 2, 7, 32467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 106\/34 + (-404)\/3434. Let w(a) be the third derivative of 0*a + 14\/3*a**l + 0 - 31*a**2 + 13\/24*a**4. What is the first derivative of w(d) wrt d?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 5, -10, 7, -13, 35 in descending order.\nAnswer: 35, 7, 5, 4, 0, -10, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-6) - 2)\/((-20)\/60). Solve 15*k = 5*b + 19*k + 32, -5*b + 5*k - t = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 4:18 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*f - 3*f = 0. Let d(q) = 2*q**2 - 7*q + 2. Let b be d(7). What is the derivative of -10*o**3 + 6 + b*o**2 + f*o**3 - 51*o**2 wrt o?\nAnswer: -30*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (-2 + -5*(sqrt(176) + 0 + sqrt(176) + sqrt(176)) + sqrt(176) - -3*(sqrt(176) + (6*sqrt(176)*-2 - sqrt(176)))))*-6)**2.\nAnswer: 86400*sqrt(11) + 15841296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 n when two letters picked without replacement from kibiunukbikqbnb?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*h - 58*h + 16 = -5*v, -h - 21 = 5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1255683 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 12) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*3)\/((-58749)\/(-372077)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 + 6*c - 12)*((3 + 1 - 3)*(-1 - 2*c + 1) + c - c - c - 3*c + 0*c + c + 7*c + c - 5*c) + 2*c + 2*c**2 - 2*c in the form r*c + o + m*c**2 and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - 30. Let g be b*-207995*(10 - 11). Suppose p + 0*p + 2*v = -103990, v + g = -2*p. Round p to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/3 (b) 17 (c) 3 (d) -6052\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (-17 + -3 - -2). Suppose 5*c - 3*c + 2*n - 6 = 0, 2*n = -5*c + 6. Solve 5*w - 4*z = b, c*w + 4*w - 2*z - 10 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 28. Let o(g) = g**3 - 3*g**2 + 6*g - 18. Let p be o(4). Let z be j\/p + 1*-1. Is z < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31)\/341)\/(17\/(-3553))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w - 5*w + 2*w)*(569 - w + 609*w**2 - 476*w**2 - 128*w**2) as h*w**2 + d*w**3 + p + z*w and give d.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2461 - -2547. What is the remainder when 561 is divided by y?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(25889 + g - 25898 - 76*g).\nAnswer: 150*g + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (618 + 660 - 235)*(m**3 + m - m) to the form g*m + t + q*m**3 + r*m**2 and give q.\nAnswer: 1043","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 319191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6015*c + 2 - 2.\nAnswer: 6015*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n + 5. Let k be s(-2). Let j be 2\/k*(-20)\/2. Solve 6 = 3*u - 2*t, j*t = -3*u - 5 + 11 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -z - 4*h, 0 = -h + 2*h - 2. Let s be ((-50)\/(-15))\/(z\/3). Suppose -3*l = s*g - 274, -l - 2*g = -123 + 31. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7350.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1734.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*h**2*i - 147075*h**2 - 2503560*h*i + 2*h + 1 with respect to i.\nAnswer: 4*h**2 - 2503560*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.8 - -2.8. Let x = 109 + -114. Which is the smallest value? (a) -3\/5 (b) x (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**5*t**3 + 4726*l**3*s*t**2 + 3*l*s*t**3 - 38*l*t**3 - 2*s*t**3 + 16*s*t wrt l.\nAnswer: 20*l**3*t**3 + 28356*l*s*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 892118885?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*496.\nAnswer: 8928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 12*c**2 + 11*c + 1. Let d be l(-11). Calculate the greatest common factor of d and 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v**3 + 0*v**3 - 2*v**3 + (v - 4*v + 2*v)*(0 + 2*v**2 + 0))*(2*v - 3*v - v)*(-59 + 1 - 43) in the form w*v**4 + u*v + n + m*v**3 + r*v**2 and give w.\nAnswer: -808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -130*r**2 - 138*r**2 - 2*r**3 + 1 - 2*r + 270*r**2 - 2*r**4 as n*r**4 + b*r**3 + v + a*r + o*r**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*i**2 - 50483*i - 474365 wrt i.\nAnswer: -18*i - 50483","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2. Let z(q) = 324*q**2 - 96*q + 96. Suppose 2*k + 8 = -2. Let b(f) = 17*f**2 - 5*f + 5. Let r(v) = k*z(v) + 96*b(v). Calculate r(x(g)).\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/3 - 24\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*k + 12 = -108*k. Suppose 3*c = -3*w + 24, k*w + 23 = 4*c - 3. Solve 8*d = c*d - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 + -45. Suppose 4*s = m - j, 0 = 5*m - s - 2*s - 103. Suppose 8*l = 6*l + 26. What is the remainder when m is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 24 = -5*x - 17, -3 = -3*x. Let p(m) = -5*m**2 + 5*m - 8. Let w be p(-7). Is 47 a factor of r - 5\/(20\/w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4147374?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1223.92 + 1269. What is f rounded to zero dps?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 162.977 - 163. Which is the biggest value? (a) 3\/8 (b) j (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (71 - 2) + 4 - (2 - 5). Suppose 0 = 6*s - 92 - r. What is the nearest to s in -1\/3, 1\/3, 0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 4*j - 16 = 0, -3*j = -5*q + 8*q + 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 - 40. Calculate the remainder when 47 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*r - 5*p + 3*p = -22, -p = p + 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656751913?\nAnswer: 23, 419, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (3 + -4 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 12*a - 17. Calculate b(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4482281*-153\nAnswer: -685788993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/1 + (-3 - -17) + 78\/(-13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8270373 to the nearest integer?\nAnswer: 2876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**2\/3 + 363712*b\/3 - 1212440 = 0.\nAnswer: -181866, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 7*c = 390. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k. Let v(r) = -810*r + 2. Calculate u(v(j)).\nAnswer: 1620*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.363 + -4.303. Let x = -0.04 - 0.02. Let p = v + x. Which is the third biggest value? (a) -1\/2 (b) p (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cb when two letters picked without replacement from {b: 2, j: 1, c: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**2\/2 - 6493*w + 1424. Let j(f) = 2*f. Determine j(s(x)).\nAnswer: -2*x - 12986","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.3 + 3.5. Let x = -7.2 + 7.3. Let f = -0.2 - -1.2. What is the closest to 1 in f, c, x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -820*l + 450.\nAnswer: -820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 i when three letters picked without replacement from ixgii.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 647 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -25, -96, -257, -544, -993, -1640?\nAnswer: -2521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49324?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108)*1 + 2*((sqrt(6)\/sqrt(2))**2 + sqrt(3)).\nAnswer: 6 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - z = -4*z - 1542, 3*q = -2*z + 1148. Suppose -v + 295 = -q. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x + 10 + 6*x - 10. Let a(g) = -g**2. Calculate i(a(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*j + 22, j + i + 9 = 6*i. Let o(b) = -5*b + 3. Let d(f) = -6*f + 4. Let r(q) = j*o(q) + 3*d(q). Let k(y) = y - 12. Calculate k(r(x)).\nAnswer: 2*x - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29166.\nAnswer: 2, 3, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -2\/27, 1\/3, 64\/37, 1\/8, -2\/9?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6519.\nAnswer: 3, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 j, and 1 g when four letters picked without replacement from {e: 3, j: 1, k: 2, v: 2, g: 2, x: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 39*n + 501, 0 = n + 5*j - 2*j - 64 + 86 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 - 5. Let x = o + 65. Let w = 13 - x. Which is the nearest to -12? (a) 5 (b) w (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -21*c + 10*c. Put 396, c, 5 in ascending order.\nAnswer: c, 5, 396","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 16882?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.074 times 6335?\nAnswer: -468.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -1, 16, 61, 146?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -6*d + 2*d. Suppose -3*r + 265 - 97 = d. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*s - 4*i = -380, s = 345*i - 342*i - 45 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*m - 3*m. Suppose -3*r + 4*x - 407 = m, -2*x = 2*x + 4. List the prime factors of r\/2*(-1)\/((-3)\/(-6)).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15481.4065 + -15477. Let r = 0.8665 - 0.83. Let n = d - r. Round n to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/130 + -21\/26. Which is bigger: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) - 1*sqrt(1331)*2) + -1)*-1.\nAnswer: 1 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.01918 - -21.15082. What is g rounded to 1 dp?\nAnswer: 21.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/26824 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6035993689?\nAnswer: 11, 548726699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 1. Let v = -6 + 5. Let z be (-6)\/21*(-2 - v). Is z at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -595635879 and 5.\nAnswer: -2978179395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2832, -27, -123 in descending order.\nAnswer: 2832, -27, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -532, -2151, -4898, -8773, -13776, -19907?\n\"Answer: -564*y**2 + 73*y - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2*x**3 + 2)*(-x + 4*x - 5*x)*(-2 + 6 - 10) in the form i*x**2 + c*x**4 + j*x**3 + d*x + v and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10363 and 10.\nAnswer: 103630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*1*(-6)\/15?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 62432 divided by 15608\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/2346 and -145\/126.\nAnswer: 49266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4047 is divided by 135.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 20316 = 21614. List the prime factors of l.\nAnswer: 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 124\/5, -2\/49, 3 in descending order.\nAnswer: 124\/5, 3, -2\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 14 - 8*y - 93 + 15 + 13 + 25.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 43*a**2 - 8*a + 7. What is the remainder when u(2) is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 7*n + 11. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4477469 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (7 - 4*49\/(-28)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - 0. Let x = 5.5 + -5. Let g = x - 1. Which is the nearest to -2? (a) -0.3 (b) g (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a\/a**(-1\/2))\/a))**(-2\/45)\/((a**(-1)*a)\/a)**(-38))**(-6\/7) assuming a is positive.\nAnswer: a**(3422\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 19 = -4*y. Suppose 2*r - 3 = -g, 0 = g - 3*g + r + 21. Suppose -g*f + 27 = -0. Put f, 1, 5, y in decreasing order.\nAnswer: 5, f, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*b - 54. Let g be 36\/b + 14\/35. Sort -3, 1, g in descending order.\nAnswer: 1, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*g - 1. Let u = 10.16 + -0.16. Let h = u - 10. What is the smallest value in 0.5, g, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.9068161 centimeters?\nAnswer: 9.068161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**5 + 858*w**4 - 56664*w**3 + 1379754*w**2 - 11849733*w + 10525788 = 0. Calculate w.\nAnswer: 1, 21, 39, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1980 and 220133980.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 38 = c - 6, -c + y + 24 = 0. Find l, given that l**3 + l - 23*l**2 + c*l**2 + 1 + 5 = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42389.855 rounded to the nearest one hundred?\nAnswer: -42400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.1 + -0.9. Let j = 8568 + -34273\/4. What is the nearest to j in k, -2\/9, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*(-1 + -4 + (2*((sqrt(162)*-1 + 4 - sqrt(162)) + 0))**2).\nAnswer: -3456*sqrt(2) + 15906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63262 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 u when four letters picked without replacement from squwssjhshshu?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -28719030, -114876133, -258471308, -459504555?\n\"Answer: -28719036*x**2 + 5*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60496 is divided by 338.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**2 - 23*j - 4. Let c(r) = -r**2 - 3*r - 1. Let g(q) = -4*c(q) + o(q). Factor g(l).\nAnswer: l*(l - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59568.\nAnswer: 2, 3, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**2\/3 + 49*j\/3 + 16 = 0.\nAnswer: -48, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*b - 5, 25 = 4*b + 3*l + 20. Let g(q) = -18*q**3 - 5*q**2 + 5*q. Let z(k) = -225*k**3 - 63*k**2 + 63*k. Calculate b*z(d) - 63*g(d).\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2091*y**3 - 7*y + 13. Is f(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**4 - a**4 + 10*a**4 + (-2*a**2 + 2*a**4 + 2*a**2)*(-5 - 1 + 5))*(-2 - 3 + 2).\nAnswer: -18*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -15*x**2 + 18*x - 1. Let f be l(1). Suppose 3*d - 3 = 9, 5*d - 16 = f*w. Solve -6*c + 4*c = -5*q + 4, w*c = -q - 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11277438?\nAnswer: 2, 3, 43, 43711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + p = -2. Let d(b) = -3*b**3 - b**2. Let r be d(-2). Suppose r = 5*f + 5. Solve 1 = p*k - f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6231219 micrograms to tonnes.\nAnswer: 0.0000000000006231219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 4 = -3*i + r, 25 = 5*r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c + 96. Let j(v) = v + 19. Let i(z) = 2*d(z) - 11*j(z). Let y(l) = 2*l**2. Calculate i(y(h)).\nAnswer: 2*h**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**2 - 6*w - 19. What is the remainder when m(-5) is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 1 + sqrt(343))**2 + sqrt(343) + (sqrt(343) + (sqrt(343) + 1)*-6)**2)*6.\nAnswer: 2730*sqrt(7) + 53748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*w = 252, -i + 91 = -w - 33. Suppose 4*l = -l + 135. Let p be (-6)\/27 + 411\/l. Calculate the highest common divisor of i and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 - 14 + 2*a**2 - a**2 - 2*a)*(-1 - 2 + 4).\nAnswer: -a**2 - 2*a - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 5*w**2 - 2*w - 12. Let a be o(-5). Let j(n) = 7*n**2 + 5*n + 4. Is j(a) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*t**3 - 101*t**2 - 2196*t wrt t?\nAnswer: -18*t - 202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -4*b - 125. Let p(k) = -18*k + 5. Let l(w) = 4*w. Let d(q) = b*l(q) + p(q). Calculate d(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**4\/8 - 909*t**2. Let m(d) = d**2 + 114. Give m(x(u)).\nAnswer: 9*u**2 + 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/855*-15*-10)\/(-39*(-4)\/18)?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 356 or 354?\nAnswer: 354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5657744 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = 4*v + 18. Calculate the common denominator of -73\/10 and (v\/375)\/((-16)\/186).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448*d + 210*d + 730 + 9798 = 0 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15*(2 + 20\/(-12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6*w + 10 = 0. Let c = 4 - w. Let h = -2 + c. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -39 - 9. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -39*y - 66. What is the units digit of c(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23399 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5194 + -3425. What is the thousands 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 2418100949?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -641*t = -4*f - 640*t + 364, -2*t + 182 = 2*f. Let p be 3\/9 + (-190)\/(-6). Let q be 8\/(-56)*3 + p\/f. Sort q, 1, 4 in ascending order.\nAnswer: q, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**3 + 987*n**2 - 6051*n - 7035 = 0.\nAnswer: -335, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -0.5. Let t = -151\/100 - -1\/100. What is the smallest value in 1, m, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + i**2 + 2*i + 4. Let d be 0\/(-3 + (1 - -4)). Let l be u(d). Let c(q) = q**2 + 9*q - 7. Let k be c(-9). Sort l, k, -1 in decreasing order.\nAnswer: l, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 + 8*f**3 - 11*f**3 + 0*f**2.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 5*o**2 - 4*o + 5. Let c be (-6)\/15 - 22\/(-5). Suppose -5*d + 5*b + 40 = 0, -2*d - 4*b - 7 = -d. Suppose 4*s - d*s = -c. Calculate i(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113771025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 100*r**2 + 2*r - r + r**3 - 103*r**2 as v + z*r**2 + u*r**3 + k*r and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 1840080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 2*x + 32. Suppose -16*o + 13*o = 0. Let p be o*(-2 - -1*(3 + -2)). What are the prime factors of a(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**4\/24 - m**3\/6 - 11*m**2. Let k(h) = -2. Calculate -k(z) + 2*o(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + t - 58724*t**3 + 58745*t**3.\nAnswer: 21*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -129 - -77. Suppose 7034 = 27*n + 8411. Is n less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 25, 31, 63, 133, 253, 435?\n\"Answer: 2*p**3 + p**2 - 11*p + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1151089?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q\/(q*q\/(q*q**(-10)*q*q))*q)))\/q*q*q\/((q\/q**(-18))\/q))**35 assuming q is positive.\nAnswer: q**(-840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 1 (c) -149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/8 - (-5)\/40?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-364)\/6)\/(18\/27). Let l = x - -107. What is the smallest common multiple of l and (2 - 5)\/((-9)\/12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(1\/21)*k)\/k)\/k**(-2\/19))**11 assuming k is positive.\nAnswer: k**(671\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (275\/110)\/((-1)\/(-6)*(0 + 1)) and 450?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 0 - (26 + -8 + -5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 173176 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20185469 to the nearest integer?\nAnswer: 4493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 259030462?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1618, 14056, 47828, 113602, 222046, 383828, 609616?\nAnswer: 910078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*t = -3*w + 5, -3*t = -5*w + 9. Let g(l) = 105466*l**2 + l - 4. Let x be g(3). Let h be x\/(-14) + t\/(-4). Round h to the nearest 1000.\nAnswer: -68000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7726*k**3*z**3 - 33*k**3 - 28*k**2*z**3 - 5955*k**2*z**2 wrt z?\nAnswer: -46356*k**3 - 168*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-509 - 320 + 160 - 153)*((-2*f - 1 + 1)*(4 - 1 - 1) - 2*f + 0*f + f - 3*f + 5*f - 3*f).\nAnswer: 4932*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 + 89016*u\/7 - 990481032\/7.\nAnswer: -2*(u - 22254)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) -1 (c) 3\/44 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 10:35 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1724 + -1694. Solve 3*n = 3*m - 6*m - u, -5*n - 20 = -m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = t + 2, 2*t + 4 = 5*s - 0. Suppose s = -4*o + i + 33, -3*o - 6*i + 42 = -i. What is the smallest common multiple of 15 and o?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*s + 6 + 118, 2*s = 2*l + 64. Let u = -9 + s. What is the remainder when 37 is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -763\/90 + 97\/10. Find the common denominator of 3\/(-33)*3*3 and q.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/35 + 88\/154. Suppose -z = 2*z - 24. Let u be (z\/110)\/((-2)\/(-5)). Put i, -1\/3, u in decreasing order.\nAnswer: i, u, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -13 - (16 - (3 - -5))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4296850057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1841 - 1675 + 3297 - 7*s in the form x*s + d and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 + 57. Suppose 184 = 10*i - l*i. Suppose 0 = -o + j + i, -4*o + 255 - 51 = j. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 174*p**2 - 12*p + 28. What is the thousands digit of h(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 4:10 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k*r**2*t - 2435*k*r*t - 9*r**2*t - 122*r*t wrt k.\nAnswer: -r**2*t - 2435*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-7)*v**(2\/25)*(v**(-2\/3))**(-3\/2) assuming v is positive.\nAnswer: v**(-148\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**3\/3 + 8206*n**2 - 67326115*n + 552273152176\/3 = 0. Calculate n.\nAnswer: 7984, 8317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = 20*w - 1836. What is the remainder when w is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 75*p**2 + 216*p + 7. Let d be x(72). Solve -5*s = d*j - 4*j + 25, -3*j = 2*s + 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -694*d**2 - 3*d - 1. Let k(a) = 4*a**2 + a. Determine -2*f(h) - 6*k(h).\nAnswer: 1364*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7886*k**3*l - 2*k**3 - 7*k**2 - 484*l wrt k?\nAnswer: -47316*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6273.\nAnswer: 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.1 - 4. Let t = 1.04 + -1. Let x = t + -3.04. Which is the biggest value? (a) x (b) u (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598786313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 5:17 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(11) + sqrt(11)*1 + 4 + 1*(0 + sqrt(11) + sqrt(11))))**2.\nAnswer: 1152*sqrt(11) + 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 94 or -195461?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -5*j + 35. Let z be 80\/6*39\/(-2). Does 13 divide (j\/15)\/((-8)\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 268\/37 + -24883\/2664. Calculate the common denominator of (-4)\/6 + 406\/(-48) and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 130 - 13 - 10*f + 125 - 10 - 4*f to the form h*f + w and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (9 - 24 - -4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 11*c - 2. Suppose 5*t = -3*j + 45, -39*t + 37*t = 4*j - 32. Let f(p) = -11*p + 2. What is j*l(d) + 6*f(d)?\nAnswer: -11*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 11 (b) 4 (c) 104\/7 (d) -1 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 23, 0, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25 - -82811?\nAnswer: 82775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 18*w + 107. What is r(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6957 and 0.03409.\nAnswer: 237.16413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5009301um to kilometers.\nAnswer: 0.0000000005009301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 (base 6) in base 3?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/1617 and -71\/45282468.\nAnswer: 45282468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -244.0043989 rounded to 2 decimal places?\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000115399 rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -372\/5 - -75. Let p = -37 + 37. Let q = -62 - -63. What is the closest to q in r, 0.2, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -1. Let l be (-3)\/(-3)*((-4)\/(-56) + (-75)\/70). Let x(o) = o + 1. Let n(s) = s + s - 3 + 9. Let a(v) = -2*n(v) + 2*x(v). What is l*a(w) + 10*u(w)?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 255, 171, 111, 87, 111, 195?\n\"Answer: 2*t**3 - 98*t + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 116153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10 + 9 + (-1253)\/66. Let q(c) be the second derivative of -13*c + 0*c**3 + 1\/110*c**5 + 0*c**2 - x*c**4 + 0. Factor q(j).\nAnswer: 2*j**2*(j - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*s + 23, 2*s = -0*x + 2*x + 58. Sort 2, 3, -1, s in decreasing order.\nAnswer: s, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 17399811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 1. Let z(l) = l**2 - 4*l - 6. Let c be z(5). Let n(t) = 10*t - 4. Let o(y) = 3*y - 1. Let j(p) = -3*n(p) + 8*o(p). Calculate c*j(v) + 4*q(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 954 and 21306.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + w**3 - w**3 - 4*w**3)*(4 + 3 + 15).\nAnswer: -88*w**3 - 44*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*h + 47*h - 518 = 216*h + 8582 for h.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -102, 5, -3, 4 in descending order.\nAnswer: 5, 4, -3, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**(1\/3)*k)*k*k\/k**4*(k\/(k*k**(-3)))\/k**5*(((k\/(k*k\/((k\/(k*k\/((k**(-1\/2)*k)\/k)))\/k)))\/k)**(-37))**(11\/6) assuming k is positive.\nAnswer: k**(3611\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide -3 - (-2102)\/6*((-6 - -3) + 6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.43 and -116.9?\nAnswer: -167.167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 15. Let q = -271999 - -271988.000026. Let s = q - w. Round s to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s + 0*s**5 + 0*s**2 - 5\/6*s**3 + 0 + 0*s**4 - 17\/30*s**6. What is the second derivative of r(n) wrt n?\nAnswer: -204*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41665040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -148.8696 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -111*t**2. Let r(m) = -19107*m. Calculate r(g(z)).\nAnswer: 2120877*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17932, -19961, -21982, -23995?\n\"Answer: 4*w**2 - 2041*w - 15895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 281 - 60. Suppose 0 = 5*d + 5*f + 58 + 147, 5*d - 3*f = -t. Let y = -21 - d. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-3*sqrt(684) + sqrt(684) + 1 + (sqrt(114)\/sqrt(6) + 5 - sqrt(1216)*1))**2)*2.\nAnswer: -456*sqrt(19) + 13796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4212) + sqrt(4212) + -1*sqrt(4212) + sqrt(4212) - sqrt(52))\/sqrt(4).\nAnswer: 17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (75\/27 - -3) + 2\/9. Find the first derivative of -15*y**3 + 29 - i*y**3 + 26 - 15 wrt y.\nAnswer: -63*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (24\/80)\/(6\/(-5)). What is the fourth biggest value in 2, c, 4, 1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6667 - 6557. What is the remainder when u is divided by 53?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -2440*z + 2442*z - j, -z = -4*j + 52 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f. Let j(l) = -1487396*l**2. Give j(g(i)).\nAnswer: -1487396*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-48) - (-546)\/(-56)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 1. Let n be a(-1). Suppose 834 = -n*t + 2*t. Let q be t\/18 + (-2)\/12. Solve 2*d - q = -d - 4*k, -4 = -2*k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 310\/1395*(-3)\/(-2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -1520*t**2 - 7*t + 14. Let d(m) = 507*m**2 + 2*m - 4. Let y(f) = 7*d(f) + 2*v(f). Let k(i) = 2*i**2. Give y(k(s)).\nAnswer: 2036*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -99 (b) -101 (c) -4139\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 851419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 9. Let a be (v - -3)*(-1)\/2. What is the nearest to a in 1\/2, 2\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1518 - 17*y + 1518)*(y - y - y)*(-6*y + 10*y - 5*y) in the form t + f*y**3 + l*y + d*y**2 and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in -3, -0.1, 211, 0.41, 8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.02 (b) 181 (c) 0.18 (d) 5 (e) -1\/3 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/(-14)*3*(-6)\/(-63)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.267 - 1.16. Round n to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.16 in -5, -406, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*((-8)\/(-6) + 0). Suppose -c + 175 = z*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(u**2 - u + u) + (-130 + 10*u - 1907*u**2 - 1892*u**2 + 3797*u**2)*(3 + 1 - 3).\nAnswer: -4*u**2 + 10*u - 130","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + 0)**2 + -3.\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (1 + -1 + (-3634)\/(-395))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6516434 at least -6516440?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 467 divided by 447228.\nAnswer: 467\/447228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**2 + 1045928*r - 6275496 = 0.\nAnswer: 6, 522958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32 or 31?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4401824 and 51184?\nAnswer: 4401824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - m - 3. Let t be 3 + (-2 - -1) - -9. Let b(z) = -z**3 + 12*z**2 - 10*z - 14. Let v be b(t). Calculate h(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96930697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 891411 is divided by 1078?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -811*s**3 - 2*s**2 - 3*s. Let g(p) = 2*p**3 + 2*p**2 + 5*p. What is g(q) + x(q)?\nAnswer: -809*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 5*w**2 + 3*w + 4. Let q be x(4). Let y be 4 - -3 - (q + 2). Solve 6 = 4*b + 2*l, -l + 15 = y*b - 0*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -1)\/(72\/(-36))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2 + 6*x + 7. Let a(p) = -21*p - 120. Let i be a(-7). Let r(k) = 30 + i - 2*k**2 - 63 - 5*k. Give 3*j(w) + 4*r(w).\nAnswer: w**2 - 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89922, 179819, 269690, 359535?\nAnswer: 449354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*n + 24, -36 + 30 = y + n. Let k(p) = -p**3 + p + 1. Calculate k(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/36*(1 + 0)*4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1714 is divided by 189.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (1 - 1 - 4). Let i(g) = -12*g**3 - 2*g - 1. Let d be i(-1). Suppose 4*y - 3 = d. Sort 2, x, y in increasing order.\nAnswer: x, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.1 - -5.9. What is the second biggest value in t, 0.7, -4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -86651?\nAnswer: 86650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 51847 (base 11) in base 8?\nAnswer: 223443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-70)*(-10584)\/672)\/((-2)\/((-10)\/1)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -33. What is the first derivative of 161 + 46 + j*d - 8*d - 50 - 66*d**2 wrt d?\nAnswer: -132*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/7))**30*d**(-6)\/d*d**(-6) assuming d is positive.\nAnswer: d**(179\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4 = 0, 4*a + 4*x - 114 = 7*x. Suppose 2*o - 12 = -4*q + 14, 0 = 2*o + 5*q - a. Solve -14 - 6 = o*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 823\/505 - 3\/101. Is p greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 1)*(5*l - l - 5*l) + l + 0*l + l + 0 + l + 0 - 23*l - 44*l + 25*l to v + w*l and give w.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*z. Suppose z = 4*k + 4*t - 2196, 3*t - 2199 = -k - 3*k. Suppose -4*a - 44 = -k. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.8 + 10.196. Let v = 4.604 + u. Put 0.3, -3.7, v, -4\/5 in ascending order.\nAnswer: -3.7, -4\/5, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 179)*((-26600)\/(-672))\/(-95) - 2\/(-8)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + (-23 - -71) + -133.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*y**2 + 3*y + 95 + 92 - 27*y**2 + 11*y**2 + 19*y**4 with respect to y.\nAnswer: 76*y**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 65*r**2 + 175*r + 90. What is g(-68)?\nAnswer: 2062","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2413 - 1?\nAnswer: -2414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3*(sqrt(153) - -2*sqrt(153))**2 - (sqrt(153) + (-4 + 0 + sqrt(153))**2)).\nAnswer: -11886 - 63*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 8*d**2 - 8. Let y be q(8). Let r = y + 13. Solve r*f - h = 4*h - 35, -4*f + 3*h - 26 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*z = 9. Let t(u) = 9*u - 3. Let s be t(z). Suppose 2*c = -2*j - 0*j + s, -j = -4*c + 53. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 266 - 284 = 15*j + 172 - 498, 2*j + 32 = 2*h for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14584)\/942491)\/(6\/(-33)).\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11134537?\nAnswer: 11134537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.47 + -8.37. Let t = z + 6.884. Let i = -0.0247 - t. What is i rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19084*u**2 - 745*u**3 - 9536*u**2 - 9548*u**2.\nAnswer: -745*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 k when four letters picked without replacement from nnnnnnknnnnnnknnnk?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a factor of 2550288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001622555 to 7 decimal places.\nAnswer: -0.0001623","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*b + 21 = -0, -3*o + 30 = -4*b. Let v(x) be the second derivative of x**4\/12 - 2*x**3\/3 + 3*x**2\/2 + 107*x - 10. What is v(o)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**5\/60 - f**4\/4 + f**3\/3 + 4*f**2. Let z = -5 + 1. What is the tens digit of i(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 4*s + 1. Suppose 0 = -y - 2, -3*r + 6*y + 88 = 4*y. Suppose -r = -2*f - 8. Suppose 3*a - a = f. What is n(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7*j - 5. Let l(z) = -2*z**2 + 7*z + 3. Let u be l(3). Let c be 0*(-3)\/6*-2. Let m(a) = 6*a + c - 1 - 3. Calculate u*m(p) - 5*w(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqvvvuvzuuzqu. Give prob of picking 2 q.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + y**2 + y + 7*y**4 - 3*y**4 - y**2 - y**2 to the form l*y + f + n*y**4 + p*y**3 + k*y**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 62119869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(-3*sqrt(605) + sqrt(605)) + 2 + 4.\nAnswer: -sqrt(19)\/22 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -16. Which is the closest to -0.1? (a) -3 (b) w (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -106*s - 5. Let v be z(-2). Suppose n - 2*n = -v. Suppose -h + 78 = -u + 265, u + 4*h = n. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/138020 and -119\/2010.\nAnswer: 414060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -295*a**4 + 909*a**4 + 723*a**4 + (-a**2 + 3*a**2 + 0*a**2)*(-2*a**2 + 4*a**2 - a**2).\nAnswer: 1339*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 791\/14*(-1)\/(-45) and (-784)\/105*(119\/(-14) + 6 + 4).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**2)\/p)**(2\/69)*((p*p*p**(-1\/6))\/p*p*p)**(-15\/8))**(33\/5) assuming p is positive.\nAnswer: p**(-65219\/1840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 27*q**3 - 38*q - 17. Let m(g) = 9*g**3 - 13*g - 6. Let v(r) = -17*m(r) + 6*t(r). What is the second derivative of v(c) wrt c?\nAnswer: 54*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*z + 105 = -11*k + 43*z + 144, -z + 5 = -2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 - 344\/64?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, w: 2, f: 1, r: 4}. Give prob of sequence bwf.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 40100641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**8\/3360 + t**7\/315 - t**6\/90 - 11*t**4\/8 + 79*t**2. Let u(a) be the second derivative of m(a). Factor u(x).\nAnswer: -2*x*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/38 + 546\/133. Is (((-21544)\/6)\/m)\/((-10)\/90) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 494?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354*y - 10217 - 3563 = -94*y for y.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-12)\/(-21)*(-98)\/(-28). Let v(a) = 6*a - 6. What is v(z)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -104*p**3*s**3*z + p**3*s + 3*p**3*z - p*s**3 + s**3*z + 3*s*z wrt s?\nAnswer: -624*p**3*s*z - 6*p*s + 6*s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10 - 16)*1\/(-3). Suppose i = -3*x + 34, 18 = -0*x + f*x - 4*i. Is x at most as big as 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 32 = 15*q. Let v(u) = 5*u**2 + 10*u - 2. Let p be v(q). Sort 13, p, -3 in ascending order.\nAnswer: -3, p, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 0.004539, -3.1, -0.18 in increasing order.\nAnswer: -3.1, -1\/5, -0.18, 0.004539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*x**2 + 20732*x - 20732*x - 99*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 553496569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + (sqrt(192)*1 - sqrt(192)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {o: 2, t: 9, l: 5}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1980, -3065, -3250, -2529, -896?\nAnswer: 1655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-21)\/9)\/(4 + 195\/(-45)). Calculate the greatest common factor of a and 392.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 1\/4, 0.2, 5 in descending order.\nAnswer: 5, 1\/4, 0.2, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 33\/21 - 6\/(-14). Let i(f) = -3*f - 1. Let p be i(-6). Suppose 4*d + 73 = 3*g, -o*g = 5*d - p - 1. Calculate the highest common divisor of 38 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -909*t + 909*t + 77907*t**3.\nAnswer: 77907*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1136 - 872. What is the highest common factor of q and 660?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87702447?\nAnswer: 3, 7, 4176307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.07 + 0.13. Let j = -0.2 - w. Let r = 0.15 + 0.05. Sort r, -3\/8, j.\nAnswer: j, -3\/8, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/41)\/d*d)**(9\/5)*(d*d*d*d**(8\/17))\/d**8 assuming d is positive.\nAnswer: d**(-15479\/3485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**2 - 6*r + r**3 - 6 + 5*r**2 + 3*r**2 + 0*r**3. What is n(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/7, 4, 6, 5, -11170?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 - 0. Let a = 53\/222 - 1663\/5106. Sort a, b, -1 in decreasing order.\nAnswer: b, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -71\/2*z**3 - 24*z - 1\/4*z**4 + 0*z**5 + 0 - 1\/120*z**6 - 2*z**2. Differentiate p(d) with respect to d.\nAnswer: -3*d**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 105 + -41. Suppose 0 = -6*q + 2*q - j. Let w = -31 + 16. Is q smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13755 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16138*i**3*k**2*w + 100*i**3*k*w**3 - 6*i**3*k - 3*i**2*k**2*w**3 + 3*i**2*w**3 wrt k.\nAnswer: -32276*i**3*w - 6*i**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/(-45) - (8\/5 + -2). Suppose v*f + f - 132 = 0. Suppose 4*t = -f + 332. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 506907765 and 27?\nAnswer: 1520723295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-10)*j*j)**(8\/3) assuming j is positive.\nAnswer: j**(-64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1.05. Let p = -8 + 8.15. Let y = p - i. Which is the biggest value? (a) -3 (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11496807.5000003 - 11496808. Let y = -0.5 - m. What is y rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -159935.5 rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 2*r - 23, -21 = -3*d - r - 8 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q. Let z(l) = 6*l - 34. Determine z(h(p)).\nAnswer: -12*p - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 7) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372*j = 350*j - 741*j + 722. Calculate the remainder when 3028 is divided by j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -271\nAnswer: -81.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 283997, 0, 12, -1, -3.\nAnswer: -5, -3, -1, 0, 12, 283997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 15 - (0 + (18 - 0) - 8)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 363 and (2052\/24 - -3) + (2\/4 - 1)?\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 7)*(3 - 5 - 1)*(-2 + 0*k + 2*k + 4).\nAnswer: 6*k + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343145921?\nAnswer: 1447, 237143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*i. Suppose -y - 6 - 3 = -2*j, i = -2*y - 6. Let x(l) = 28*l**3 + 2*l**2 + 9*l - 7. Is x(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -15*u**2 + 86. Let b(j) = 3*j**2. Determine p(b(x)).\nAnswer: -90*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -4, 20, 0.079, -2 in decreasing order.\nAnswer: 20, 0.079, -3\/2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + z + 3. Let h be m(-5). Let t = h + 46. Let r = t - 16. Solve 0*q - r*q - 12 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 337 divide 50560293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -1)\/(-1 + -1). Let d(g) = g**3 + g**2 + 1. Let t be d(u). Let h = 3 - t. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.35*-73\nAnswer: -25.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 v when two letters picked without replacement from vhvdhzzvzhddvvv.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 2*x. Let h be u(0). Let q be 8\/(-4) - (1 - h). Let t = 0 + -4. What is the third smallest value in -5, q, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -b**8\/11200 + b**7\/4200 + b**6\/600 + b**4\/4 - 6*b. Let y(j) be the third derivative of m(j). Factor y(n).\nAnswer: -3*n*(n - 2)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -709020 + 87?\nAnswer: -708a44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -5*z**3 + 0 + 19\/6*z**4 + 35*z**2 + 2*z. What is the first derivative of l(u) wrt u?\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m - 2 + 2)*(5*m**2 + 4*m**2 - 5*m**2) - 23*m**2 - 6 + 2*m**3 + 6 to c*m**3 + u + f*m**2 + z*m and give f.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49751*o + 49829*o - 156 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/4 and -2*2*1*6\/18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 - 288*a**2 - 107748*a - 5244720.\nAnswer: 3*(a - 260)*(a + 82)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-294)*3*(-22)\/(-44).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.022 + -21.\nAnswer: -20.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 619*q - 67. Let o be h(11). Suppose o - 1490 = 13*k. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1366*a**2 + 704*a**2 + 804*a**2 - 3.\nAnswer: 142*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 14*k + 4. Let y be (8\/18)\/(6\/27). What is the units digit of h(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 - 7*f - 54.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 13*h = 104. Suppose -3*y + h = -2*b, -3*y + 2*b - 7*b = -139. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbbsrrrbrb. Give prob of picking 1 s and 2 b.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cudicctcuuc. Give prob of sequence uut.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*a - 164 = -40 + 52. Let b(z) be the first derivative of 15\/8*z**a + 19*z**3 + 48*z**2 + 12 - 48*z. Let b(s) = 0. Calculate s.\nAnswer: -4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2351 is divided by 1174?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 110222001 (base 3) to base 7\nAnswer: 36361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**3 - 1\/4*d**4 + 1\/5*d**5 + 1\/2*d**2 + 2*d + 6. Find r such that f(r) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -389 * 0.2\nAnswer: -77.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13.493 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18538 and 16146?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 759 = 5*u, 0*p + 3*u = -p + 194. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 4:25 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 53*m**3 + 25673*m - 25673*m + 1 + m**3 - 1 + (2 + 2 - 2)*(-m**3 + 0*m**3 + 0*m**3).\nAnswer: 52*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/4))**(-1\/21)*((k*k**(-2\/5)\/k)\/k)**21)**32 assuming k is positive.\nAnswer: k**(-98824\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 36 = -2*s - 0*i, -5*i - 20 = 0. Let r be 2\/(-1) + (s - -1). Suppose -2*y + r = 9, -4*l + y = -5. Solve 2*t - 1 = -l*j - 3, j - 7 = -3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*a**2*t**3 - 62*a*t**3 - 2*t**3 + 313 wrt a.\nAnswer: 6*a*t**3 - 62*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p**2 - 22*p + 12. What is o(-6)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1236681, -1236687, -1236695, -1236705, -1236717, -1236731, -1236747?\n\"Answer: -y**2 - 3*y - 1236677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (88\/(-24))\/(3\/(-9))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3114.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 124, 5, -7.27, 8\/5 in descending order.\nAnswer: 124, 5, 8\/5, -7.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6141419980.528 - -6138437520.5279993. Let b = 2982469 + y. Let m = b - 9. What is m rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 8*y**2. Let d(n) = n - 556 + 1121 - 564. Determine d(o(t)).\nAnswer: 8*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 2:19 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3366931 to the power of 1\/2, to the nearest integer?\nAnswer: 1835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31218 + 16001 - 11441 = 267*i. Solve 0 = -77*s + 174 + i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 1:37 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -303230 (base 7) in base 8?\nAnswer: -144561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -75*v**2 - 2299*v + 1063. What is l(-31)?\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 8:47 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 66?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007240 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3409, -6775, -10143, -13513, -16885, -20259?\nAnswer: -23635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.173307 + -5\nAnswer: -5.173307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.5 + -4.1. Which is the nearest to -2\/3? (a) -3 (b) 5 (c) o (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 15. Suppose 3*c + 13 = 34. Suppose -5*u = c + 33. Let x be p(u). Let h(o) = -o - 13. Give h(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 0*z + 3*z**2 + 5*z)*(z**2 - 4*z**2 + z**2).\nAnswer: -6*z**4 - 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2413311, 4826632, 7239953, 9653274?\n\"Answer: 2413321*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 1.3. Suppose -64 = -3417*g + 3481*g. Which is the fourth biggest value? (a) g (b) -4 (c) f (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (1 + -2) - 1. Let u(a) = -a + 2. Let h be u(z). What is the remainder when 10 is divided by -1 + (h - -1*5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, w: 10}. What is prob of picking 2 b and 1 w?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 13*y + 62. Let h be b(-4). Suppose -6 + 26 = h*l. Let o(k) = 10*k + 2. Give o(l).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -59388*o**3 - 84708 wrt o.\nAnswer: -178164*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 - -49. Let p(c) = 11*c - 3*c - c + q. Let h(n) = -3*n - 1. Give -5*h(s) - 2*p(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 25. Let o(y) be the third derivative of 1\/12*y**4 + 0 + 0*y - f*y**2 + 1\/2*y**3. Differentiate o(h) wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1143*g*x**2*z**2 + 86*g*x**2 - 78*g*x*z**2 - 61*x*z**2 + 4*x wrt x.\nAnswer: -2286*g*z**2 + 172*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 0. Let u(j) = -j**3 + 5*j**2 + 8*j - 8. Let x be u(6). Suppose -3*d - x*a = -2 - f, 0 = 2*d - 3*a - 16. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**2 + 5*g - 5*g. Let u(h) = 0*h - h + 4*h. Determine r(u(f)).\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 + j**3 + 4*j**2)*(j**2 + 0*j**2 - 3*j**2) + (-4*j**4 - 2*j**4 + 4*j**4)*(24*j - 6*j - 2*j).\nAnswer: -34*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - 38*n**3 + 80*n**3 - n - 27*n**3.\nAnswer: 15*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -3) + 0 + 0 + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -17*h**7\/14 - 157*h**5\/20 + 1992*h**2. What is the third derivative of c(q) wrt q?\nAnswer: -6120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.2207 to 2 decimal places.\nAnswer: 2.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -754, -750, -744, -736, -726?\nAnswer: -714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 125 + -121. Suppose -2*d - d + 4*b = -83, -4*b - 104 = -l*d. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + p**2 - 3*p**2)*(0 + 1 - 2) - 3*p - 2*p**2 + 2*p + 0*p.\nAnswer: p**2 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1514*g**3 + 39*g**2 + 148685*g?\nAnswer: -9084*g + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 116, 250, 510, 938, 1576, 2466, 3650?\nAnswer: 5170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-215)\/(-4300))\/(4\/(-10))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 616.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5 = -11. Let p = -671 + 693. Solve -p = -4*m - z + c*z, 3*m - 23 = 4*z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -13 - 11. Let c = k + 15. Suppose 4*j = 3*l + 21 - 155, c*j = -2*l + 95. What are the prime factors of l?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121084709.\nAnswer: 431, 280939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + 116\/(-36) + -1. Sort 1, 5, x.\nAnswer: x, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2900*l*o**3*t - 15*l*o**2*t - 804*o**3*t - o**2*t - 3*t wrt l.\nAnswer: -2900*o**3*t - 15*o**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/41)*m\/m**(-2\/61))**6 assuming m is positive.\nAnswer: m**(14766\/2501)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 87 + 48*s + 17 - 5 + 28. Is h(20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-30)*9\/(-15)*(-25)\/(-75)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -820 - -824. Which is the nearest to 1? (a) 2 (b) n (c) -298\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8005200*g + 8006298*g + 34038 = 0 for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/2181 + 159197\/17448. Let n be 4\/(-5)*17\/(-4). Let z = n + -61\/5. Calculate the common denominator of c and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 9 - 4*f + 0*f**3 - 4*f**2 - 5*f**2 + 0*f**2 - f**3. Let i = 110 + -119. What is the units digit of z(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirty-three fifths of a millennium?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*t = -3*y + 13, 3*t = y + 19. Let o be 6\/y*12\/(-36). Which is the nearest to -0.2? (a) o (b) -1\/5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, r: 1, v: 2, j: 5, b: 2, z: 2}. Give prob of picking 2 z and 1 j.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + v**2 + 2. Let u(r) = -r - 1. Let m(c) = n(c) + u(c). Let b(p) = 3*p**3 - 4*p**2 + 3*p - 3. What is b(t) + 4*m(t)?\nAnswer: -t**3 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1638.005 to the nearest ten.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 0.4, 0.5, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + -2*sqrt(76))*2.\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -454 = 45*u - 94. Let b(w) = w**3 + 5*w**2 - 5*w - 15. Calculate b(u).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 460 + -465.94. Let a = f + -0.06. Let u = -1.5 - -0.5. Is u at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 3:44 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r - 1. Let w(i) = i + 1. Determine -3*f(x) - 4*w(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000755325 to seven dps.\nAnswer: 0.0000755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 396.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.1442 - 0.3.\nAnswer: -14.4442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 25*j**3 - 2*j**2 + 2*j + 2. Let i be h(2). Suppose -3*y = 5*u - 930, -i = -5*u + 5*y + 692. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a89582 - 54?\nAnswer: a8952a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 9*z**2 + 11*z + 2. Let o be x(-8). Is 730\/22 + 4\/o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3214 + 0?\nAnswer: 3214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 5 (c) -3 (d) 46\/3 (e) -5\/2 (f) 2\/3 (g) -71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 322 divide 248842438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.0487, -4, -1\/2, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21\/12 + (-2)\/(-8). Suppose -2*v = -5*x + 26, 0 = x + 2*v - 6*v + f. Let t be (4\/8)\/(1\/x). Solve -5*z - 15 = 5*d - t*d, -2*d = 3*z + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9142906 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 11*q**2 - 17*q + 8. Let n(t) = 3*t**3 - 32*t**2 + 49*t - 23. Let k(g) = -6*n(g) - 17*u(g). Determine k(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o + 392 = 419 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2916\/(-72))\/81)\/((56\/928)\/(-7))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4264069 from 18973.\nAnswer: 4283042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -0.16365.\nAnswer: 1.83635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 825 - 35. Which is smaller: p or -159?\nAnswer: -159","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142430 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 3*r**2 + 2*r + 4. Suppose -l + 120 = 4*l + 5*c, -4*l + 90 = c. Suppose -27*x = -l*x - 35. What is the remainder when i(3) is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(4*(-1)\/16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313 is divided by 277?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -21\/5, -14\/9, -84297?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23163 + 23162.56. Is -2.6 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, -13, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2283021, 4566048, 6849087, 9132144, 11415225, 13698336, 15981483, 18264672?\nAnswer: 20547909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46\/14717 + 22240607\/1030190. Let i = 913068\/37597 - -2\/37597. Let s = i - n. Calculate the common denominator of -17\/2 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -214 - -208. Let y = w - -9. Let s(g) = -g**2 + 3*g. Calculate s(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273308439121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -473 or -33\/59?\nAnswer: -33\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000735148221 rounded to six dps?\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**2 - d + 3 + 4*d**2 + d to t*d + a*d**2 + w and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -121102 (base 4) in base 12?\nAnswer: -b2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 136726 = -2395 + 1791. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 4*f + 8. Let l(j) = -3 - 5*j - 4*j**2 + 2*j**2 + j. Calculate l(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18, -124, -404, -942, -1822, -3128, -4944?\n\"Answer: -14*n**3 - 3*n**2 + n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/4 + 519*x**3\/2 + 387297*x**2\/4 + 15302196*x + 869306256.\nAnswer: (x + 168)**2*(x + 351)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -13, -3, 250, 4 in descending order.\nAnswer: 250, 4, -3, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264*h**2 - 1936\/3*h + 0 + 2\/3*h**4 + 28*h**3 = 0. What is h?\nAnswer: -22, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -11*j + 231. Suppose -5 = -7*m - j. Let h(b) = 2*b**2 + 3*b. Let p(g) = -2*g**2 - 3*g. What is m*h(z) - 5*p(z)?\nAnswer: 2*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)\/(sqrt(4)\/sqrt(2)) + (sqrt(55) - sqrt(220)\/(sqrt(4)*-1)))\/(sqrt(132)\/(sqrt(12) - sqrt(48)) - -1*sqrt(1584)))**2.\nAnswer: 45\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -9*u - 37. Let t(g) = 5*g + 19. Suppose 2*y - 21 = -11. What is y*t(v) + 3*l(v)?\nAnswer: -2*v - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnznnzzznnzznnbnn. What is prob of sequence zznz?\nAnswer: 5\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5961606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 206, 804, 1412, 2036, 2682, 3356, 4064, 4812?\nAnswer: 5606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (514 - 514 - 144*r**2)*(1 - 6 + 1)*(-6*r - 2*r - 10*r).\nAnswer: -10368*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-249)\/83*((-27)\/15)\/(2\/(-10))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*v - 27, -2*v = -4*f + 3*v + 25. Suppose -f*g + 6*g = 4*w - 5, 6 = -g + 5*w. Is 16336\/12 - (g - (-12)\/9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-113)\/(30284\/201)*(-4)\/(-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -10*g**2 + 4*g - 7. Let i(m) = m**2 + 1. Let q(w) = 2*i(w) + z(w). Let o be q(-5). What is the lowest common multiple of 6 and (-2)\/(-7) - o\/21?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 5*w + 2020*f - 1999*f, -w - 5*f + 12 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x + 6. Let v = 123 + -123. Let j be 120\/(-20) + (-1 - v). Calculate b(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.176 - 3.704. Let k = -0.12 + m. Put k, 4, 5 in increasing order.\nAnswer: k, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 145 + -161. Let p be (-3)\/(-9) - 20\/6. Is o < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8765 and 18222435.\nAnswer: 18222435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26c (base 13) in base 12?\nAnswer: 2b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -22168000 rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**2 - 876093*p + 1752174 = 0?\nAnswer: 2, 292029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2103074036 + 445.9.\nAnswer: 2103074481.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 21326450.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1206774 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 2, -0.02, -11, -5 in increasing order.\nAnswer: -11, -5, -0.02, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 20*h**2 + 3*h - 3. Suppose 0 = -21*d + 49*d + 112. Let n(x) = 21*x**2 + 4*x - 4. Determine d*b(j) + 3*n(j).\nAnswer: -17*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-123 + 118 - (0 - (13 + -2))) + -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**6\/15 - 58*a**5\/25 - 2*a**4\/5 + 232*a**3\/15 - 1857. Suppose y(k) = 0. Calculate k.\nAnswer: -2, 0, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 4:44 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.911 - -81.973. Round z to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/90)\/((-6)\/408*1)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*i**2*w**4 + 16*i**2*w**3 - i**2 + i*w**2 + 2*i - 2*w**3 wrt w.\nAnswer: -240*i**2*w + 96*i**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 28250 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, i: 5, d: 1}. What is prob of picking 2 i and 1 d?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 2*g + 5*b - 4 = 0, -18 = 4*g - 3*b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g - 2*g)*(-g + 1 - 1) + 1 - 1 + 2*g**2 + (-3*g + 2*g + 0*g)*(-g - g + 0*g) + 6*g**2 - g**2 - g**2.\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 21 = -3*q. Let n = -2 - q. Let c = 20 - n. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (3 - 4) + 45. Let g = u + -26. Suppose -g = -2*m + 8. Is m greater than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/8 + 501*r**2\/8 - 1941*r\/8 - 2445\/8.\nAnswer: -3*(r - 163)*(r - 5)*(r + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/21)\/((-4)\/(-70)*1). Suppose -4*j + 27 = 3*c - j, -c = 2*j - 13. Let v = 8 - c. Solve 4*x - v = f*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1872482.\nAnswer: 2, 17, 55073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271 + 14*i**3 - 86 - 78 - 107 - 13*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 11) to base 4.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 554*2\/4 + 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14539 and 8911.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express z**2 + 9*z**2 - 2*z - 6*z**2 + 10*z**2 as t*z**2 + j*z + n and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzzycyjfc. Give prob of sequence zc.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 102.82 - 102.6. Put q, -4, 4, -2 in descending order.\nAnswer: 4, q, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**5\/360 + j**4\/48 - j**3\/18 - j**2\/2 - 1. Let h(n) be the second derivative of o(n). Factor h(i).\nAnswer: -(i - 2)*(i - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -3*d**5\/5 + 15*d**4 - 118*d**3 + 270*d**2 - 243*d - 16. Find a, given that f(a) = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239dbd (base 14) in base 15?\nAnswer: 190ea7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -570022*1.\nAnswer: -570022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14902, 15797, 16690, 17581, 18470, 19357?\n\"Answer: -j**2 + 898*j + 14005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 4. Let i(m) = -5*m - 1 - 12*m - 14*m - t*m. What are the prime factors of i(-1)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5309177.\nAnswer: 1787, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 263007749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m. Let y(n) = 48361*n. What is y(s(z))?\nAnswer: -145083*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.58, 1\/4, -1605?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, n: 7}. What is prob of picking 3 n and 1 v?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wjwj when four letters picked without replacement from {w: 2, j: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tftfffftytftffftf. What is prob of picking 2 f?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 318, 716, 1274, 1992, 2870, 3908?\nAnswer: 5106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d**2 + 0*d**2 + d**2. Let g(i) = i + 9. Let w(s) = 2*s + 6. Let j(k) = 2*g(k) - 3*w(k). Give j(x(m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u + 7*u**2 - 7*u**2 - 15825*u**3 + 15745*u**3.\nAnswer: -80*u**3 - 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*l**3*x**3 + 325*l*x**2 - 35*l*x - x**3 - 163284*x + 9 wrt l?\nAnswer: -9*l**2*x**3 + 325*x**2 - 35*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.379 + 0.279. Which is the biggest value? (a) -3\/2 (b) i (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/46, 2\/1779, -712 in ascending order.\nAnswer: -712, 2\/1779, 1\/46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(3\/14)*w*w)*w)\/w**15)**(26\/7)\/(w**0\/w*w*w**8*w*w*(w**0)**14) assuming w is positive.\nAnswer: w**(-3259\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {h: 16, i: 4}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/2*20\/3. Let n be (t\/25)\/(4\/10). Let o(h) = h**3 - 2*h + 1 + 190 - 187 - 2*h**2. Determine o(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -15. Suppose -2*n + 4*n + 12 = l*d, n + 3 = d. Solve -3*k = -0 - d for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.708 - -0.698. Which is the second smallest value? (a) -2\/9 (b) 0.5 (c) -3 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -15*z**3 - 2*z + 7. Let p(i) = -8*i**3 - i + 3. What is -3*o(v) + 7*p(v)?\nAnswer: -11*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s - 1. Let j(a) = 3*a + 1. Let c(k) = 5*g(k) + 6*j(k). Let d(i) = -i**2 - 8*i - 7. Let w be d(-6). Give c(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 1 - 0) + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/19313190 and -77\/12875460.\nAnswer: 38626380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12, -4, 22, 72, 152, 268, 426, 632?\n\"Answer: o**3 + 3*o**2 - 8*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -14*q**5\/5 + 2*q**3\/3 - 1. What is the third derivative of v(t) wrt t?\nAnswer: -336*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a second in milliseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25050 times -0.4\nAnswer: 10020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 7*u. Let q be ((-30)\/(-12))\/5*2*3. Let w(t) be the third derivative of 0*t + 0*t**q + 0*t**4 + 0 + 2*t**2 + 1\/30*t**5. Determine w(k(x)).\nAnswer: 98*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1111011 (base 2) to base 7\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 42\/5 of a kilometer?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 1\/4 (b) -441 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24648253307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1748138, -1748155, -1748164, -1748159, -1748134, -1748083?\n\"Answer: r**3 - 2*r**2 - 18*r - 1748119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29711\/10 - -2961. Let c = 1\/21826 - 8021\/71714. Let o = 9643\/1288 + c. Find the common denominator of o and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26951233, 26951228, 26951223?\nAnswer: 26951218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 9*a**2. Let b(o) = -119462*o. What is f(b(r))?\nAnswer: 128440524996*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 3, 4, 6, 131.\nAnswer: -5, -2, 3, 4, 6, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 475\/900673?\nAnswer: 475\/900673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3481, 3472, 3465, 3460, 3457?\nAnswer: 3456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3 + 6*m + 9 + 4*m**2 + 0. Does 10 divide c(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 4\/371, -0.2, -2\/3, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -47*z**2. Let n(h) = -2*h. What is q(n(o))?\nAnswer: -188*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12455 and 131930833?\nAnswer: 2491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -654 (b) 1\/4 (c) -2\/7 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000042901 to seven decimal places.\nAnswer: -0.0000429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19915545 divided by -28905?\nAnswer: -689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-10) - (-56)\/10. Suppose 5*y = 4*n - 29, -50 = -4*n - g*y + 3*y. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06734*-35.\nAnswer: -2.3569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -102?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m + 2*m + 0*m)*(-6*m + 0*m - 4*m)*(2 + 3 - 3)*(92 - 92 - 30*m) to the form v*m**3 + g*m + y*m**2 + q and give v.\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -861 - -447. Are z and -2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*f - 4 = 0. Suppose -4*o = 48 - 40. What is the common denominator of f\/o*(-688)\/(-88) and 35\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29018268 divided by -284.\nAnswer: 102177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 105 = -4*i, 4*q = -8 - 4. Suppose 28*d = i*d + 12. What is the smallest common multiple of 95 and d?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3057298 - 1918298. What is x rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -99 - -98.414. Let z = r + 0.086. Which is the closest to -1? (a) 2\/3 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2021 is divided by 81?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 8 + 72 = 0. Let i = d + 35. Suppose i*p - g + 4*g = 78, 2*p = 3*g + 52. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12138 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -215217848, -215217849, -215217850, -215217851, -215217852, -215217853?\n\"Answer: -w - 215217847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 1:10 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1535971970 divided by 4693?\nAnswer: 327290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9695782*i*u**2 + 112508*i - 2*u**2 - u + 1450 wrt u?\nAnswer: -19391564*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/((-3)\/12*2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**4 - 192*y**3 + 378*y**2 - 188*y = 0.\nAnswer: 0, 1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + -5. Let v = -116621 - -116627.9979. Let a = v + c. Round a to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**2 + 34*n - 88. Let c be m(6). Solve -9*x - 10 - c = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l + 5*v + 16 = 0, 3*l + 7 = v. Let m = -610 + 611. Which is the closest to l? (a) m (b) 3\/7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 8 = 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4320308*t**3 - 42438270*t?\nAnswer: 25921848*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000722624 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, -2, 5 in decreasing order.\nAnswer: 52, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -3 - (-30 + 31).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5*p + 109 + 76, -3*t + 169 = 4*p. Suppose 0 = -3*z + 7*z - p. Let a = z - 6. Solve 0 = -n - 3*j + 4, -n + 4*j + j = -a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 0, -44, 6 in descending order.\nAnswer: 6, 3, 0, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 126218 + -53819. Is s a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1595 + -0.0595. Which is the closest to w? (a) 1 (b) 24 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6142631 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1) + (-13 - -13) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 12:40 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*i + 2*i + 3*i + (0 + 0 + 1)*(13*i - 9*i - 11*i).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 20*u + 10*u + 2 - 1 - 34*u - 76*u.\nAnswer: -118*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 18*p**3 + 2*p**2 - p + 3. Let m be t(3). Suppose -m = 7*a - 16*a. List the prime factors of a\/(-42)*(-1 + -65).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 7:39 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**2 - 8*o - 36. Let p = 28 + -35. Give q(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/63)\/(3\/27). Suppose -5*s + 11 - 26 = 0. Let m = s - u. Sort -3, -3\/4, m in descending order.\nAnswer: -3\/4, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, l: 2}. Give prob of picking 2 l.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/8)\/((-95)\/20 - -4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 10*k + 3. Let l be f(-10). Suppose -4*w + 15 = -13. Suppose 4*p - 25 = -5*j, -w*p + 3*p + 4*j = -16. Sort -1, l, p.\nAnswer: -1, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*c + 1 = 0, 2*g = -0*c + 2*c + 4. Solve -3*q = g + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2497*m**3 - 2496*m**3 - 4 + m**4 + 17*m**2 as j*m**4 + h*m**2 + s*m + q*m**3 + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h - 47. Let j(a) = -3*a + 31. Let n(w) = -8*j(w) - 5*v(w). Let k be n(-5). Let s be -20*((-42)\/k)\/(-7). Solve s = m - 6*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2588978*w**2*z - 12*w**2 + 3*w - 1408 wrt z?\nAnswer: 2588978*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 4*t + 1. Let s = 45 + -39. Let y be x(s). Solve -6 = 3*z, h = 6*h - 4*z - y for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 26 = 228. What is the remainder when y is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*y - h - 4, y = -5*h + 2. Suppose -32*a = -82 - 14. Put y, 5, a in increasing order.\nAnswer: y, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2645?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b. Let o(f) be the first derivative of 5*f - 11*f + 4 - f + 6*f. Let m(r) = 2*r - 2. Let g(n) = 2*m(n) - 4*o(n). Determine g(y(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, e: 9, z: 1}. Give prob of sequence eey.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75102 or -75004?\nAnswer: -75102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 118.0288 tonnes in grams?\nAnswer: 118028800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0241 from -813.\nAnswer: -813.0241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 11*j**2 - 11*j - 6. Let q be w(-10). Suppose -y = r - q*y - 23, 0 = -4*r - y + 27. What is the remainder when r is divided by 1 + 2 + 1 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -32. Calculate the remainder when 51 is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2338 divide 88986626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -47*b**2 - 777*b - 2859. Determine h(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((182 + 140 - 357)*(-193 + 38*w + 193) + 3*w - 2*w + 4*w)*(-3*w**2 + 6*w**2 - 4*w**2) in the form l + j*w**2 + d*w + b*w**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 15. Let t = i - 1. Suppose 0 = -4*a + t*a. Sort -3, 2, a in ascending order.\nAnswer: -3, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15265 (base 7) in base 3?\nAnswer: 12211211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 27.1?\nAnswer: 8.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 10*o**2 - 64. Give x(7).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226989*t + 53672*t + 90765*t - 4 + 0.\nAnswer: 371426*t - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((-218 - -201) + (-23 - -28 - (0 + -6)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, l: 12, o: 1}. What is prob of picking 2 l?\nAnswer: 66\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 229949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3 + sqrt(19)) - sqrt(38)\/(sqrt(4)\/sqrt(2)) - (1 + sqrt(1216) + 0)*-4)**2*2.\nAnswer: 120*sqrt(19) + 34202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -3*j - 7, 4*u - 9 = -2*j + 13 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y. Suppose 7*z - 3*z - 16 = 0. Let l(h) = z*h - h - h. What is q(l(n))?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132 and 84?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 divided by 4.\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -328*j + 1023. Calculate f(-6).\nAnswer: 2991","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + 4.9. Let w be 1\/(4\/(-7) - -69*(-15)\/(-1260)). Which is the second smallest value? (a) 8 (b) o (c) 0.2 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b*r - 6233*b - r + 148 wrt b.\nAnswer: -r - 6233","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 1 = 5*j - 6, -1 = -5*z + 3*j. Let p be 4\/z*(1 + 6). Let o(a) = -125*a**3 - a. Let r be o(-1). Calculate the highest common factor of r and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13502341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 49817735 to the power of 1\/2, to the nearest integer?\nAnswer: 7058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8876, -8878, -8880, -8882?\nAnswer: -8884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43674 by -1506.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 58649?\nAnswer: 234596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 13*s**2 + 31*s + 4. Determine z(-15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1867*a**3*m**2*y + 3*a**3*y**3 + 105*a**2*m**2*y + 2*a**2 - 3*a*m*y**3 wrt a.\nAnswer: 11202*m**2*y + 18*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-5)*(9 + 6). Let z(n) = 19*n**2 + n**3 - 9*n**2 - 3*n**2 + 0*n**2 - 1 - 6 + 3*n. Calculate z(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -20*s - 3. Let c(y) = 13*y + 4. Let q(h) = -3*c(h) - 2*n(h). Let r(x) be the first derivative of -x**2 + 13*x + 1. Determine -13*q(w) - 6*r(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1529, -1587, -1647, -1709?\n\"Answer: -c**2 - 55*c - 1473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12401 = -4*r - 27*y + 12441, 5*r = -y + 50 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 + -24?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1175069 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12080 and 612305?\nAnswer: 9796880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.055 - -4.155. Let g = u + 0.9. Let w = -1 - -4. What is the closest to -0.1 in -4, w, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 924*l**3 + 110*l**2 + 110. Let u(q) = 3 + 25*q**3 - 66*q**2 + 97*q**2 - 28*q**2. What is 6*g(k) - 220*u(k)?\nAnswer: 44*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75 - 39. Let s be (616\/(-61 + 47))\/((-2)\/9). What is the greatest common factor of g and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77582?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -20*o. Let h(c) = -3*c + 5. Let j(p) = p - 2. Let w(a) = 2*h(a) + 5*j(a). Calculate w(i(r)).\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/266 and -30\/19.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23463647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2024*-0.6\nAnswer: 1214.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0074863563 to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 917242367 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1)*u*u)**(-10)\/(u\/(u*u*u**4*u)*(u*u*u**(1\/3)\/u*u*u)\/u)*(u\/(u*u*u*u\/u**(-1)*u*u))**(-7\/13)*(u*u**1)**32 assuming u is positive.\nAnswer: u**(1985\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10033990 at least 10033944?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 17806733?\nAnswer: -17806737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = -4*z + 27. Let y be ((-31)\/3)\/((24\/18)\/(-4)). Let g = z + y. Calculate the remainder when g is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-789)\/(-526)*(1 + (-2)\/6). Solve 45*q - 46*q + n = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 77*o**5\/20 + o**4\/6 - 11*o**3\/6 - 3*o**2 + 2*o + 16. What is the second derivative of s(d) wrt d?\nAnswer: 462*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*(sqrt(180)*-6)\/(sqrt(4) + -3*sqrt(144))*-3)**2.\nAnswer: 129775\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 19*g**2 + 3*g - 2. Let r(p) = 39*p**2 + 7*p - 5. Give -7*d(v) + 3*r(v).\nAnswer: -16*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + g + 36. Determine d(0).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.1, -139\/2, -5\/6, -5, -3, 0.5?\nAnswer: -139\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 12:58 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2\/3, 5, -27, -45, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-3))\/(k*k\/(k**(-3)*k*k)))\/((k\/(k*(k*((k\/(k*k**(-5)))\/k)\/k)\/k))\/k**4))\/((k\/k**2)\/(k**(4\/5)\/k)*(k**(-1\/2))**30) assuming k is positive.\nAnswer: k**(119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -u + 11, -5*u + 75 = 5*p - 0*p. Calculate the remainder when u is divided by (-4)\/(-14) + (-122)\/(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ha when two letters picked without replacement from {e: 1, a: 5, j: 6, h: 4}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (2 - 1)*-3. Let o = 1 + 1. Let i be o\/(-6)*(-4)\/4. Which is the closest to -1? (a) -4 (b) i (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7726399*s**3 - 1 - 7726482*s**3 - 53825*s**2 + 53825*s**2.\nAnswer: -83*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/3645?\nAnswer: -2\/3645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4304, -4302, -4298, -4292, -4284?\nAnswer: -4274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 0, 861 in ascending order.\nAnswer: -3, 0, 5, 861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 - 460*l - 1832. Calculate the remainder when 3353 is divided by k(-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -12*n - 56. What is k(-12)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x**2 - 3 + 2*x + 0*x**3 + x**3 - 1. Let q be c(-4). Suppose 12 = -j + q*z - 2, -4*z = 3*j - 6. What is the smallest value in j, -2\/7, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -473 - -1418\/3. Which is the nearest to 0? (a) -5 (b) t (c) 2\/19 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(16\/4)\/4. Suppose -z + 4*z - 39 = o. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2*k - 146, -2 = -2*s + 4. Let p be (-3)\/((-1 + 3)\/k). Calculate the highest common divisor of p and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-15))\/(-6)*25\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*v = 76, -19*v - 152 = -2*y - 22*v. Solve 0 = -34*w + y + 26 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*q\/((q\/q**(-3\/14)*q)\/q))))\/(q**(1\/10)*q))**(-4\/7) assuming q is positive.\nAnswer: q**(44\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -9*t + 5. Let f(j) = -j**2 + 12*j + 10. Let h be f(13). Let y be a(h). Suppose -5*m - 4*g + 30 = 6, -3*m = -2*g - y. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**6\/120 - j**5\/10 + j**4\/4 - j**3\/3 + j**2. Let u be i(5). Suppose -g = 2*c - 3, -1 - 2 = -3*c - 3*g. Is u greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-3)\/4) - (-52 - (-13090)\/245)?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.9 times 2.3\nAnswer: -4.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sm when two letters picked without replacement from mmmmsmsamsasom?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, c: 12}. What is prob of picking 2 j and 1 c?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 428413\/20 - 21422. Let d = -195731\/18 + 10868. Calculate the common denominator of d and m.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - -2. Let j be ((-4)\/(-8))\/(3\/o). Let g(r) = 25*r + 2. Is g(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60368 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4008163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4927039 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*r = 36*r - 1078 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/2 - 5 - -6. Suppose l*z - 35 + 4 = 3*b, 0 = -z - 4*b - 16. Suppose -3*o = y - 272, -z*y + 2*y - 168 = -2*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108 - 100. Solve -g = -b - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7084010 is divided by 307989.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9502, 18923, 28344, 37765, 47186, 56607?\n\"Answer: 9421*j + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 0.068.\nAnswer: 0.068, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.5, 28, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*sqrt(396) - -3*sqrt(176))**2*4.\nAnswer: 14256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -2564 and 2299.\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -13*k**3\/3 + 3*k**2 - 20*k. What is the first derivative of c(j) wrt j?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -27. Solve g*l = 22 - 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -101751*j**3 - 390*j**2 + 130*j + 65. Let o(m) = -4625*m**3 - 18*m**2 + 6*m + 3. Determine -3*a(z) + 65*o(z).\nAnswer: 4628*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 4 - 2)*(-b - b + b) - 5*b + 9*b + 6*b)*(-b + 2*b - 3*b) in the form a + c*b**2 + n*b and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6868 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m - 5*u = 34*m - 15, 0 = -m - 3*u + 2. Solve 4*f - 9*t + 7 = -8*t, 3*f - t = -m for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -9*o**2 - 111*o - 140. Calculate k(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 8*b + 10 = 6*b, -5*w + 5*b + 5 = 0. Solve -w*s + 3*s = l, 4*s = 2*l + 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6974 = 20*l - 4546. Suppose -l = -7*x - x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-147))\/(94599\/134358)\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 6:01 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**28*c)**(-1\/10)*(c*c*c**(-5\/2)*c)\/(c*c\/c**(17\/4)*c) assuming c is positive.\nAnswer: c**(-23\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 + 5. Let c = b + 93. Suppose -c*a + 174 = -35*a. Calculate the remainder when a is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*(-1 - 1)*(-3)\/(-12). Suppose 0 = -5*d - 4*p + 3, 21 = -d + 4*d - 4*p. Let r(s) = d - j + 20*s - 21*s. Let w(u) = 2*u**2. Calculate r(w(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11580551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 175b?\nAnswer: 1763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f**2. Let l(t) be the first derivative of -31*t**3\/3 - 3*t - 554. Calculate a(l(h)).\nAnswer: -3844*h**4 - 744*h**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-12)*l)\/l**4)\/((l**(-9)\/l)\/l**(1\/5)) assuming l is positive.\nAnswer: l**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1 + sqrt(4032) + 5 + 1*sqrt(28)*2*3)*-2)**2.\nAnswer: 1296*sqrt(7) + 36369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*158\/(-189) - -4*20\/(-280). Factor d*p**3 + 2\/3*p**4 - 2\/9*p**5 + 0*p + 0 + 0*p**2.\nAnswer: -2*p**3*(p - 5)*(p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, u: 4, s: 2, n: 2, c: 2, f: 4}. What is prob of sequence ufn?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f**2 + 8*f + 1. Suppose 0 = -2*p + 5*p + 3*b + 21, 4*p + 5*b + 26 = 0. Let c(y) = 11*y**2 + 17*y + 2. Determine p*s(a) + 4*c(a).\nAnswer: -a**2 - 4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4534485 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*v + 2*t - 11983 = -42*v, 3*t + 19940 = 5*v. List the prime factors of v.\nAnswer: 13, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2295 is divided by 77.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 not equal to 0.108304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b**2*f*z - 191*b**2 - 6*b*f + 573*b*z + 25*f*z - 119*f - 51*z - 2 wrt b.\nAnswer: 2*b*f*z - 382*b - 6*f + 573*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*d**2 + 2*d + 83*d**2 - d - 210*d**2.\nAnswer: -77*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 8:25 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -477*z + 696*z + 6570 = 0 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/10)\/((-4)\/120) - -1. Let v be 3*(-4)\/30 + (-119)\/k. Let b(j) = j - 5. Let z be b(6). Solve -4*d + 9 = -d - 2*q, 2*d - z = v*q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**3\/5 - 2456*s**2\/5 + 210922*s\/5 + 42676 = 0.\nAnswer: -1, 94, 1135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5880227011?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(2\/17))**23\/(u**3)**(-30))**(-13\/4) assuming u is positive.\nAnswer: u**(-25571\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*t - 2*t - 31*t in the form k*t + i and give k.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -283, 778, 4539, 12350, 25561, 45522, 73583?\n\"Answer: 225*x**3 - 514*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(-59*z**2 - 47*z**2 + 22*z**2).\nAnswer: 84*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 10:29 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 221277 + 253628 = 5*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(5 + 136\/(-24)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -44*r + 39*r + 3*d, 2*r + 0*r + 3*d = -6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + (-138)\/(-36) - 3679\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 2)\/3 - (-2 - 1). Suppose -4*m + j = -25, 2*m + 8 - 16 = u*j. Calculate the remainder when m is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/26)\/(v\/v**9))\/(v*v*v**(-7))**(-1\/15) assuming v is positive.\nAnswer: v**(595\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6\/11)\/(z\/z**(-9)*z))\/(z**0*z*z)**(12\/17))**39 assuming z is positive.\nAnswer: z**(-94497\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -9\/10*y**5 - 2*y**3 + 0*y**2 + 1 + 1\/10*y**6 + 88*y + 9\/4*y**4. Let q(c) = 0. What is c?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/79? (a) -62 (b) -1\/4 (c) -0.5 (d) 0 (e) 44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35400 rounded to the nearest one thousand?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37675 divided by 3425.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p**2. Let l(y) = 82259*y. Determine l(z(s)).\nAnswer: -329036*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115 and 3511980?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 562499?\nAnswer: 7, 107, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1603745801 and -0.03264.\nAnswer: -1603745801.03264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 - 117 + 39 - 3*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2*m - 19 - 4, 5*r + 3*m - 108 = 0. Let j be (-7)\/((-49)\/(-2)) - 22\/r. What is the second smallest value in j, 0.3, 2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h**2*t**2*z + 2*h**2*t**2 - t**2 + 10*z + 30 wrt z?\nAnswer: 2*h**2*t**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1216940 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**2 + 15*o - 13063. Let k(a) = -9*a. Let q(c) = 6*c. Let d(j) = -5*k(j) - 8*q(j). Give m(d(b)).\nAnswer: -6*b + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 2*n - 13. Let z be y(4). Let p(k) = z*k**2 + k**2 - 19*k**2 + 9*k**2. Let w(j) = 43*j. Calculate p(w(t)).\nAnswer: 3698*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73\/186 - 80963\/372. Let k = -4 - 212. Let q = t - k. What is the nearest to -0.1 in 4, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p - p - p)*(-p**3 - 3*p**3 + 3*p**3) + (10*p**3 + 3*p**3 + 2*p**3)*(p - 4*p + 2*p) in the form r + k*p**4 + q*p**3 + d*p**2 + y*p and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y - 5*y)*(1 - 2 - 1)*(-3*y**4 + 4*y**4 + y**4).\nAnswer: 20*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 + 3*l + 6. Let d be a(-4). Let b = 57 - d. Suppose -4*h = h - b. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9a3b2 - -21?\nAnswer: -9a391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/97496 and 103\/3528.\nAnswer: 6142248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-7\/6)\/h**1*h*h**(1\/11)*h**(2\/17) assuming h is positive.\nAnswer: h**(-1075\/1122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*c, 2*a + 4*c - 6*c = -30. Is 492*a\/(-15) + 3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r - 18*r - 368 = -488. What is the greatest common divisor of 1047 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -420*u**5 - 6633*u**4 + u**2 - u - 54391905 wrt u.\nAnswer: -8400*u**3 - 79596*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -382 and 4172.\nAnswer: -1593704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22998 = 5*r + 4*y, 7*r + 3*y = 2*r + 22996. Does 22 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 989728*q + 4948642. Give s(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**5\/5 - 2*c**4\/5 - 3*c**3\/5 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -3. Let v be -4 - 110\/(-21) - (-4)\/(-6). Which is the closest to 2? (a) v (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24712 and 18534.\nAnswer: 74136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.3, 4\/9, 206?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 10 = -0. Let f be 20 - (3 - -1)\/n. Suppose -20 = f*l - 19*l. Solve -b = 3*p - 13, l = -0*b + 2*b + 4*p for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 47043329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 370013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -414 or -55?\nAnswer: -414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s + 10*s - 1 = y, -4*s - 8 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72 - -71. What is the tens digit of (7 + j)*220\/45*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r. Let g(o) = -25249*o**2 - 2*o + 1. Calculate x(g(b)).\nAnswer: 50498*b**2 + 4*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -146874, 5.6.\nAnswer: -146874, 0, 5.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 - 205*p**2 - 3 + 5.\nAnswer: -205*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 + 2*s**3 - 11*s**3 - 33*s**3.\nAnswer: -41*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64 - a - 73 - 3*a to the form z*a + r and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 7:07 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/36 + ((-1920)\/(-27))\/4. Suppose -j*t = -21*t - 9. List the prime factors of (t\/2)\/(17\/(-374)).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2945 at least as big as -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-4)\/(-10)) + -4\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 16*s + 40. Let t be p(-18). Let d = t + -60. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 769 + 262 + 260 - 4*h - 1288.\nAnswer: -7*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -755.\nAnswer: -755.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -277268 and 4338222.\nAnswer: 4060954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + -1 + 362*-29558. Round v to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, -3, -1\/3, 4\/7, 151\/43, 2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -2094?\nAnswer: 2091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.15 + -3.95. Let r = n + -0.2. Let l be 18\/(-8) + (-3)\/(-12). Which is the third smallest value? (a) l (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 254734.\nAnswer: 254734.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/2 - (2295\/(-62))\/(-27) and -139\/12?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -7. Let o(w) = w**2 + 4*w - 8. Let t be o(r). Suppose 5*f + 20 = 0, j + 3*f - 7*f - 20 = 0. Solve 4*l = -5*i, j*i - l - t = -5*l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2 + 10*b - 5*b**2 + 12 + 16*b. Let y(g) = g**2 - 5*g - 3. Let m(f) = 2*a(f) + 11*y(f). Is m(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5681236?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-969 + 449 + 477)*(-3*m**2 + 5*m**2 + 0*m**2) to the form i*m**2 + x + u*m and give i.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - -2. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.7 * 0.1513.\nAnswer: 0.55981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-5 + (sqrt(36)\/(sqrt(24)\/sqrt(2)*-6) + 3 - (-3 + sqrt(36)\/(sqrt(144)\/(sqrt(12)*-1))))))**2.\nAnswer: 60*sqrt(3) + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -24, 5, 1, -1 in decreasing order.\nAnswer: 5, 1, -1, -22, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*x - 14742096 - 243364 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1532131 + 25?\nAnswer: 1532200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1203623us in seconds?\nAnswer: 0.0000001203623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -2, -0.5, -2\/15, -11, 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 77 + 445 = -38*x - 33 - 628, -2*n + 5*x + 153 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -13. Solve 0 = -5*c - s*m, c - 2*m + m = -6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-137775)\/(-30060)*8\/(-22)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*h + 11*h - 11*h to the form y + u*h and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 17584*n - 650580. Calculate u(37).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1215930.\nAnswer: 2, 3, 5, 40531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*g = -3 + 5, -25 = 5*g. Suppose 4*u + 76 = 5*d - 20, 3*d + s*u = 32. Let v = -49 - -94. Calculate the remainder when v is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**3 + 6*x**2 - x - 16. Let a be k(-5). Let g = 249 + a. Solve 1 = -3*f + g for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1550*t - 3139*t - 84 = -1568*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1839 or -6\/29?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.522173 rounded to 3 dps?\nAnswer: 1.522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 460526 (base 8) to base 5\nAnswer: 14442430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + 5 + ((-1 + sqrt(208) + 0 + sqrt(208) - (-1*sqrt(208)*-6 - sqrt(208)))*-4)**2.\nAnswer: 384*sqrt(13) + 29972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 616548 and 139812?\nAnswer: 2292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/18*-6*(27\/(-33))\/9?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44200*a + 44198*a + 8*t = -4, -3*t - 9 = 0 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68\/101 + -2\/303. What is the smallest value in 2\/9, 0.1, 6, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b - b + 5 - 8*b**2 + b**3 - 2*b. Let r be v(9). Let g = 33 + -19. Calculate the greatest common factor of g and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153432\/16 + (-10)\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82*n**2 - n**3 + 2*n - 3*n**4 - 152*n**2 + 61*n**2 to the form z*n**4 + h*n + g*n**2 + r + f*n**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297 = -119*w - 774 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 528872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 95, 105, 121, 143, 171?\n\"Answer: 3*w**2 + w + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 116, 232, 348, 464, 580, 696?\n\"Answer: 116*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -460, -441, -410, -367, -312, -245?\n\"Answer: 6*h**2 + h - 467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**7\/280 - 7*i**4\/24 - i**3 - 10. Let y(k) be the third derivative of c(k). Differentiate y(o) wrt o.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 236*g**2*u**3 + 8*g**2*u**2 - 4786*g**2 + 13*g*u**3 + 17*g*u - 4*u**3 + 2*u**2 - 2*u - 1 wrt g?\nAnswer: 472*u**3 + 16*u**2 - 9572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j - j**3 - 2*j + (-j**2 + j**2 - j**2)*(0*j + 2*j - 4*j) + 137*j - 23*j**3 - 137*j.\nAnswer: -22*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 4*t = -2*i - 10, -4*t - 6 = 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*h + m - 3*m, 0 = -2*h + m + 5. Suppose -q - 2*q - 6 = 0, -h*n - q = -148. What is the common denominator of n and 50\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*o**5 + 2591024*o**4 + o**3 + 2*o**2 + 81905*o - 145.\nAnswer: 1080*o**2 + 62184576*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q - 1. Let h(v) = 2*v**2 + 3*v - 3. Let s(c) = -h(c) + 3*x(c). Let o(f) be the second derivative of -f**4\/6 + f. Give s(o(p)).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zddbhzodabbzzazohdb. What is prob of sequence zddb?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 2*x + 0)*(-2*x - 3*x - 15*x) + 3 - 3 - x**2)*(x - 2*x + 2*x) to c*x**3 + t*x**2 + z*x + a and give c.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (-2 - 0))\/1. Suppose -3*l = -n*l - 141. What is the remainder when l is divided by (-96 + 90)*((-2)\/(-6) - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**3 - 9*s**3 + 10*s**3.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) 817 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -540*h*l**3*u + 2*h*l**2 - h - 2*l**2 - 18*l*u wrt l?\nAnswer: -3240*h*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338194 - 338194 + 0*i + 0*i + 24*i**2.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 46655 + 4999*j**2 - 46655 as u + h*j**2 + m*j and give h.\nAnswer: 4999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 91 = 3*g. Let k(i) = -2*i**3 - 8*i**2 - 21*i - 3. Let w be k(-4). Let c = 86 - w. Solve -c*p - 1 = -g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 443235598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + 20\/(0 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((17 + -1)\/(-32))\/((-1)\/(-2)). Put 1, 167, q in descending order.\nAnswer: 167, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, l: 4, w: 1, f: 5, i: 5, r: 1}. What is prob of sequence frkl?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -78656165.3 to the nearest 10000.\nAnswer: -78660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**4\/9 + 428*m**3\/9 - 832*m**2\/9 - 3392*m\/9 = 0. What is m?\nAnswer: -2, 0, 4, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3013 and 17554?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -1 (c) 2\/11 (d) 796260\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/12 of a hour?\nAnswer: 65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(((-23)\/(2254\/28))\/(18\/(-21)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 380 + -269. Let n(p) = 35*p**2 + 4. Let i(k) = -1924*k**2 - 222. Let d(j) = x*n(j) + 2*i(j). Let w(f) = -4*f**2. Determine d(w(r)).\nAnswer: 592*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-eight thirds of a hour?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - z = -3, 0 = -5*q - 48*z + 53*z - 30 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 12*m**2 - 20*m + 7. Let c be r(10). Let i(h) = -2 - c - 13*h + 12*h. Let d be i(-11). Solve -g + 0*g = -d, -z = -5*g + 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18e3c (base 15) to base 2\nAnswer: 10011101111000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**2 + 0*f**2 - 3*f**2 + 3*f - 3*f - 3*f**2 + (0*f + 0*f - f)*(-2*f + 7*f - 3*f) + (0*f - 4*f + 5*f)*(-479 + 479 + 37*f).\nAnswer: 33*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from {v: 1, j: 9, e: 2, p: 2}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*k - 32. Let a(s) = s**3 + 9*s**2 + 9*s + 11. Let r be a(k). Let y = r - 3. Solve y = -3*q + 15, 6*q - 3*q = m + 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 239 - 114. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 16 = -4*k - 0*k, -4*y + 4 = k. Suppose 0 = 3*h + 2*m - 312, k*h - 596 = -3*m - 181. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -0*y + 12. Let q be 36\/(-63) - (-2)\/((-140)\/(-334)). Is y bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 c when three letters picked without replacement from {c: 2, l: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide ((-385)\/15 - 5)\/(6\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, n: 3, f: 11, m: 4}. Give prob of picking 1 a and 3 f.\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -779 = -49*z + 30*z. What is the remainder when 156 is divided by z?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 11*f - 4. Let k be y(-8). Suppose -3*x + 5*x = k. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2 - 11*d + 51. Let z(q) = 8*q - 115. Let m be z(15). Suppose 4*j - 22 - 42 = 0. What is the remainder when u(m) is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 32, -4, -2, -5 in increasing order.\nAnswer: -5, -4, -2, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10011001111000 (base 2) to base 9\nAnswer: 14452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 66*a**2 - 2*a + 1. Let h = 3 + -2. Is d(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 5*f - 30, -3*f + 2*y = 5*y + 6. Suppose 0*k + n = k - 1, -3*k - f*n + 8 = 0. Calculate the highest common divisor of 24 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7941*f - 34*f**4 - 5*f**3 - 7942*f - 676 + 5*f**3 - 33*f**2 wrt f?\nAnswer: -408*f**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + -2*sqrt(91))\/sqrt(7) + (sqrt(468)*-1 - sqrt(468)) + (sqrt(39)\/(-6*2*sqrt(3)) + 5)**2 + 5 + 4.\nAnswer: -83*sqrt(13)\/6 + 4909\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2 - 7*o - 21. Let i(a) = -a**2 + 4*a + 10. Let l(z) = -5*i(z) - 2*n(z). Determine l(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 8:20 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13700 divided by 685.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-3\/4))\/f)\/(f**(1\/4)*f*f))**28\/((f**(-1)*f)**(-20)*f*f**(3\/4)*f\/f**(3\/5)) assuming f is positive.\nAnswer: f**(-1723\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*f - 3*b - 30 = 25*f, f + 3*b + 30 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -4*k - 14, 0 = -3*m + 1865*k - 1867*k - 17 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 253, 269, 303, 361, 449, 573, 739, 953?\nAnswer: 1221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19515310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**5\/40 + q**3 + 2. Let d(j) be the third derivative of y(j). Let b(w) = 2*w. What is b(d(f))?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -32*t**4\/9 - 131440*t**3\/9 - 459698*t**2\/9 - 68402*t\/3 - 2736 = 0.\nAnswer: -4104, -3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 322 = 3*y, -216 = -2*y + 4*g - g. What are the prime factors of y?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 6*x = 5*y - 14, -2*x + 2*y + 52 = 0. Calculate the lowest common multiple of (-6)\/(-9) - (-82)\/3 and x.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.46 and 0.06.\nAnswer: 0.0876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 5*f**2 + 2*f + 4. Let v be h(-5). Let g(t) = -5*t + 7. Let d(p) = 6*p - 7. Let a(c) = 3*d(c) + 4*g(c). Give a(v).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.09 + 0.59. What is the closest to 0.1 in 2, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/8 (b) -2\/25 (c) -1\/7 (d) -1\/3 (e) 10\/3 (f) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 189.8457 rounded to one dp?\nAnswer: 189.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zo when two letters picked without replacement from {e: 3, o: 7, z: 3}.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -12, -3 in decreasing order.\nAnswer: 2, -1, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -37, -0.11, 4\/7, -1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16335 - -301452.848.\nAnswer: 317787.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bgh when three letters picked without replacement from bhg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 (base 7) in base 6?\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11b9497 (base 13) in base 16?\nAnswer: -546cae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 246? (a) -0.5 (b) 4 (c) 0.5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -7*y**2 + 38985*y - 38985. Determine c(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (0 - 45)) + 4412 + -4411 + 21\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of k**2 + 4*k + 1. Calculate the remainder when ((-22)\/110 + (-598)\/10)*-1 is divided by i(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssvsssssvvs. Give prob of sequence sv.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1571*c - 1550*c - 42 = 0. Suppose 0*o - 2*o**c + 2\/3*o**3 + 8\/3 = 0. What is o?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 5 (c) 0.1795\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -631.96 + 1.16. Round d to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68\/19 + 514\/133. Which is bigger: -0.8 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72ce81 (base 15) to base 6\nAnswer: 313012434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 - 166 - (-9 + -21 - -3).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c - 7. Let z be j(-6). Let g be z\/((-6)\/20)*3. Suppose 0 = -3*o - 4 + g. Is o != 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a - 60. Let t = -177 + 199. Let p be v(t). Solve -s + p*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1313 - -1319. Solve -14 = -4*c + 2*y, 4*y - 37 = -11*c + m*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*s**2 - 2*s**2 - 7*s + 7*s + 1 wrt s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 64609 = -67314. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*b - 5*k - 22, 0 = 3*k + 3. Let f(h) = 17*h - 4 + 2*h**2 + 0*h**2 - 12*h. What is the units digit of f(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -328 + 637. List the prime factors of c.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3333 - -3351. Sort t, -1, 30 in increasing order.\nAnswer: -1, t, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tnnnekninnteenkeo. Give prob of sequence en.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 12 = -2*x, x + 0*w - 12 = 4*w. Let p(r) be the first derivative of -r**2\/2 - 1. Let z be p(0). Solve x = 4*o - z*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21467851 to the power of 1\/3, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 - 55. Let o be (-467)\/(-45) + 4\/y. Let f = o + -11. What is the second smallest value in 0, 1\/4, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.05851 and -0.426?\nAnswer: 0.48451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**3 + 2*m - 5. Let a(x) = -x**3 - x + 2. Suppose 18*j = 2*i + 14*j + 22, -5*j + 38 = -4*i. What is i*a(y) - 3*l(y)?\nAnswer: y**3 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(39\/5)*t*t**(27\/7)\/t*((t**24\/t)\/t)\/t*(t\/(t\/t**(-6)))\/t assuming t is positive.\nAnswer: t**(898\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 158985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + 29. Let w be (3\/6)\/((b + 0)\/(-80)). Is 22 a factor of ((-396)\/(-20))\/(-2 + (-23)\/w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -19*r + 139. Let y(h) = 58*h - 419. Let m(c) = -7*a(c) - 2*y(c). What is the hundreds digit of m(33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.045 take away -4?\nAnswer: 4.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*n - 19 = 0, 0 = 3*f - 2*n - 4 - 9. Suppose 0 = 2*q + 2*j - 8, -q - 4*j = -5*j + 4. Solve 2*g + 1 + f = q, g - 19 = -4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 942 a factor of 10800030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -21 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 9, 706, -0.1, -2\/3 in ascending order.\nAnswer: -2\/3, -0.1, 4, 9, 706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 4*j**2 + 3*j + 4. Let p be z(-3). Let l = p - -7. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 5*b**4 - 16*b**3 - 33*b**2\/2 + 28*b. Let n(x) = -15*x**2 + 24*x + 8. Let c(m) = 15*n(m) + 4*s(m). Factor c(z).\nAnswer: 3*(z - 2)*(5*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82739 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46776461?\nAnswer: 19, 2461919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43268, 86590, 129992, 173468, 217012, 260618?\nAnswer: 304280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 1:05 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j**(-6))\/j))**(-2\/9)*j\/j**(-9)*j**(2\/13) assuming j is positive.\nAnswer: j**(1006\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from ppwwwwwwwwwppwwwpw.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + (sqrt(5) - sqrt(40)\/(sqrt(32)\/sqrt(4)))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 46*n + 38*n**2 - 46*n.\nAnswer: 38*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 5590475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 301, 2\/11 in decreasing order.\nAnswer: 301, 2, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13947 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 145820 and 1955?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/15)\/((-4)\/(-4314)). Suppose 8 = -6*q + 20. Suppose -3*p + 5*i = q*i + 717, i = 3*p + c. Round p to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - w + 34. Let t be i(5). Suppose -4*u + t*f = -84, 3*u + f + f = 63. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 788, 793, 800, 809, 820, 833?\n\"Answer: b**2 + 2*b + 785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5815 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 158*p**2 + 136*p + 3314. Let t be b(157). Solve -80*q + t = 97 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15814 + 17900. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 5*b**4\/3 - b**3\/6 - 3*b**2\/2 + 4*b. What is the tens digit of a(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xw when two letters picked without replacement from xwxww.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/9 + (-15)\/(-3))\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536183921 a multiple of 477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 5) to base 15.\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 13 - 13. Let d(s) = s - 1. Let i(k) = k - 5. Let w(v) = 5*d(v) - i(v). Calculate w(g(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9301*n*y**2 + 799*n*y - 51*n + 1055*y**2 + 1140*y wrt y?\nAnswer: -18602*n + 2110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + (3 + (sqrt(136)\/(sqrt(40)\/sqrt(5) + sqrt(8)) - sqrt(17)) - (-1*sqrt(153) + -1))**2*-1).\nAnswer: 80*sqrt(17) + 493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 17780094600 to the nearest one million.\nAnswer: 17780000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17831 at most as big as 17831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - f - 8*f**2 + 22*f**2 + 0 in the form r + s*f**2 + t*f and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + -15 + (42 - 14).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1192 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3412 + 1?\nAnswer: 3413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 - 100*l - 3687. What is i(75)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 12*s**2 + 2*s - 21. What is i(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**3 + 22*m**3 - 10*m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299230 is divided by 96550.\nAnswer: 9580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124 and 1756.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116279*n - 58139*n - 58145*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*u**4 + 2*u**4 - 3*u**4 - 15*u**2 + 2*u**3 - 3*u**4 in the form w*u + r + z*u**3 + h*u**2 + g*u**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -680266, -1360441, -2040616, -2720791, -3400966?\nAnswer: -4081141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 51.9 and -1.1?\nAnswer: -57.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 2, 3 in descending order.\nAnswer: 16, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g**2 - 241*g - 2. Let a(x) = 12*x**2 + 481*x + 5. What is 2*a(h) + 5*d(h)?\nAnswer: -h**2 - 243*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164618776 is divided by 4449156?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.11 - -0.4. Let p = -0.81 + j. Is p equal to 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 6:21 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 - 33*w**2 - 24*w + 60.\nAnswer: -3*(w - 1)*(w + 2)*(w + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 q, and 1 v when three letters picked without replacement from ugqoovxg?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d**3 + 5*d**2 - 3*d. Let n(x) = 3*x**3 + 2*x**2 - x. Calculate 5*n(r) - 2*t(r).\nAnswer: r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -5*c**4 - 69610*c**3 - 1737245*c**2 - 1667640*c = 0.\nAnswer: -13897, -24, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 265. Let o(g) = -7*g - 9. Calculate w(o(d)).\nAnswer: -7*d + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -599, -3145, -7395, -13349?\n\"Answer: -852*t**2 + 10*t + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 953140471 and 1101.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -5*r + 3*v + 32, -41 = -4*r + 5*v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1817082 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 552917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3265 - 3265.4. What is the biggest value in h, -9\/2, -1\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(21 - 12) - (2 - -5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 4*a**3)*(a - a - a) + a**4 - a**4 - 2*a**4 + 0*a**4 - 9*a**4 + 34*a**4.\nAnswer: 27*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -51914 and 1.\nAnswer: -51914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/3)\/w)**(-16)*(w**(1\/4)\/w)**(-1\/3)*((w**(2\/3))**(-3\/5))**(-5\/13) assuming w is positive.\nAnswer: w**(895\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 35.55187 millilitres?\nAnswer: 0.03555187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 + 4*w**3 - 3*w**3 + (1 - 2 + 3)*(-2*w**3 - w + w) + 0*w**3 + 2*w**3 + w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(2) - -6*(1*sqrt(2))**2))*-1.\nAnswer: -16 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4192*t**5 + 789*t**4 - 25871057*t.\nAnswer: 83840*t**3 + 9468*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -2. Let a = h + 2. What are the prime factors of (a\/4)\/((-2)\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5, -9, -15, -23, -33?\n\"Answer: -r**2 - r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 78*a**2 + 544*a + 60*a**2 - 562*a - 2*a**2 + 48*a**2 in the form j + i*a + c*a**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6264 and 42021?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5194879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kukwu. Give prob of sequence kwww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 18 = -397*x + 396*x, -3*x - 6 = 0 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/23430 and -61\/315?\nAnswer: 492030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7 + 2\/7*z**2 + 4\/7*z.\nAnswer: 2*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*-2 + 0 - (sqrt(192) + -2 + sqrt(192))**2.\nAnswer: -772 + 62*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1415.\nAnswer: 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 410169 and 9570610?\nAnswer: 28711830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 241007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 10:06 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6.047461 from -16.84.\nAnswer: -10.792539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (40 + 91 + 65 + (6 + 3 - 3)*(-2 + 1 + 0))*(-3*k + 3*k + k**3) to the form p*k + o + s*k**3 + h*k**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 3*n + 18, -3*n + 4 = 2*a + n. Let i be (-1)\/(1*(-2)\/84). Suppose -5*x = -a*o + 2*o - 32, -o = 5*x - i. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)*-5 - (2*sqrt(15)*-6 - sqrt(15)))*-6)\/(4*-6*sqrt(75)*2).\nAnswer: 3*sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**2 - 6*f**3 + 2*f**3 + 4*f**3 + 2*f**3.\nAnswer: 2*f**3 - 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millennium in decades?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 699262.\nAnswer: 2, 127, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 2*a - 135 = -123, -l - 4*a - 10 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**4 + 0*g**4 - 3 - 46*g**3 + 45*g**3)*(-5*g - g - g).\nAnswer: 14*g**5 + 7*g**4 + 21*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 197116*u**2 - u - 80212?\nAnswer: 394232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 7*m = -27. Let z be (-7)\/(-3) - 3\/m. Suppose -3*q = 3*a + a - 19, -2*a = -z*q - 20. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 2*c**5\/5 + 7*c**4\/6 - 4097*c**2\/2 - 1436*c. What is the first derivative of b(t) wrt t?\nAnswer: 24*t**2 + 28*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + sqrt(1100) + 1 + sqrt(1100) + sqrt(1100)) + 0)**2.\nAnswer: 180*sqrt(11) + 9909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - 5 - -7) + 39 + -6.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1110011000001001011010 (base 2) to base 7\nAnswer: 44015053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4*a - 82. Let i = 38 + a. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1243.602 - 1245. Let y = s + 1.4. Let v = 1.962 - y. Round v to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h**3 - 4*h**3 - 42*h - h**3 to w*h**2 + l*h**3 + n + j*h and give j.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8bb (base 16) in base 8?\nAnswer: 4273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10941 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/4)*v*(v\/(v*v\/((v*v\/((v*v\/(v\/(v\/(v*v**0)))*v)\/v))\/v*v)*v*v))\/v)**(-2\/191)*v*v*v\/(((v\/v**1)\/v)\/v)*v**(-1\/5)\/v*v**(-7) assuming v is positive.\nAnswer: v**(-6087\/1910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) - (sqrt(312)\/(sqrt(54)\/sqrt(9)) - sqrt(52)))\/(sqrt(100)*1).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -214281*o**2*t + 103667*o**2 wrt t?\nAnswer: -214281*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*h = -3239 + 8525, -2*f = h + 5286. Let o = 187656\/71 + f. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*f + 4*h = 32, 0 = 5*f - 3*h - 54. Suppose f = -5*l + 7*l. Suppose 45 = l*q - q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -20. Suppose 2*s = 3*i + 8, -a*s = 2*s + 4*i - 36. What is the second derivative of -4*g**4 - s*g + 2*g**4 + 10*g**4 wrt g?\nAnswer: 96*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -h + 60. Suppose -3*t = -4*i - 26 + 78, -3*i + 3*t + h = 0. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v + 104 + 275 = n - 5, 337*n + 32 = -2*v + 338*n for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -861*l - 35 + 565*l + 508*l + 6 to the form z*l + t and give t.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1166 = -3*v + 5*j + 5586, -2*j - 10 = 0. What are the prime factors of v?\nAnswer: 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 47.21606 days?\nAnswer: 4079467584000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 6:25 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 171*i + 0 + 0 + 170*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -1005*j + 104. List the prime factors of z(-7).\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 + 5*-5 + -1223 + 1277.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -39 - (-9 - 5)) + 21\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 21250927.9 to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1879623, -1879622, -1879621, -1879620, -1879619, -1879618?\nAnswer: -1879617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 + 47*t**2 - 98*t.\nAnswer: t*(t - 2)*(t + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3277231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6 = -0*a. Suppose -n - 1 = -a*t + n, -5*n = t - 6. Put t, -5, -2\/13 in descending order.\nAnswer: t, -2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 188\/492 + (165\/(-90) - 21\/(-14))?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-172)\/(-129)*-2*(-6)\/4. Let k(w) be the first derivative of w**4\/4 - w**3 - 3*w**2 + 5*w - 1. Determine k(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -3*u**2\/2 - 5*u + 1. What is the remainder when g(-4) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -3*g**5\/20 - 3*g**4\/4 - g**3 + 10*g. Factor k(l).\nAnswer: -3*l*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 1:34 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 17 (b) -0.15 (c) -3\/5 (d) 459\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0.2, -0.414, -19, -0.1, 0?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -59 + 17 + 40 + -23 + -36\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-5 - 2 - -5)) + 55 + -25.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (195\/(-130))\/(6\/(-28)) and 132?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18041 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -384, -421, -492, -603, -760, -969?\nAnswer: -1236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w - 2. Let d be o(-2). Let i = -3 + 2. Let z = 0.8 + i. Which is the biggest value? (a) d (b) z (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*f - g + 3 = -84*f, 4*f + 5*g = 34 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -710.\nAnswer: 1\/355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 159145335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 3*x**2 + 5*x. Let s be k(4). Suppose -2*g + 10 - s = 0. Solve g*i - i = 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.727 * 1.\nAnswer: 0.727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wqq when three letters picked without replacement from {x: 1, q: 5, k: 8, w: 3, d: 2, s: 1}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/27 and 97\/17835?\nAnswer: 160515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 35 = -5*b, 8 = 3*b - 5*b - 4*u. What is the remainder when 17 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -n - 6 + 30 - 13, 4*u + 47 = n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 2 = -p. Let z be (-15)\/(-6) + p\/6. List the prime factors of (z\/2)\/((-1)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 642, 1282, 1922?\n\"Answer: 640*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -89338 divided by 19?\nAnswer: -4702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9080*i - 9080*i - 5*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -268.4 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7*g**3 - 2*g**2 + 44*g - 77. Determine s(2).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 640000 rounded to the nearest ten thousand?\nAnswer: 640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 176 + -175. Which is the closest to 0? (a) -0.3 (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-10) + (-8)\/((-400)\/55). Let j = 129 - 257\/2. Solve 3 - k*p**2 - j*p = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3686.6 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a441 (base 11) to base 13.\nAnswer: -63b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 1234*d. Let v(y) = 26*y**2. Determine h(v(s)).\nAnswer: 32084*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -8854.57.\nAnswer: -44272.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 6*p - 1. Let c = -7 + 17. Let h = c - 5. What are the prime factors of t(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 476*w + 1925 wrt w.\nAnswer: 476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 8*a + 3. Let b(q) = -q**3 - 7*q**2 - 8*q - 5. Suppose 2*i - i = 0, -2*i - 30 = 5*w. Let t be b(w). Is s(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -44.6.\nAnswer: 13.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 35*a**2 + 14*a - 39. Is q(-15) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 271278 to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 42284*l**5 - 90520*l**4 + 52808*l**3 - 2992*l**2 - 1780*l + 200 = 0?\nAnswer: -2\/11, 5\/31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3355087.6677 - 0.5?\nAnswer: -3355088.1677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ziuxziz. What is prob of sequence zziz?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -14*w. Let k(i) = -i. Calculate -6*k(x) + n(x).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -826601\/659 at most -1253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 2*p - 20. What is the remainder when (-2 - (3 - 2)) + 31 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 4 - 2)*(-31 + 21 - 25)*(2*w**5 + 0*w**5 - w**5).\nAnswer: 385*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -17*k - 7. Let j be (-12)\/10*-1*(10 + -15). Determine o(j).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*-693*(-4)\/(-16). Let n be ((-673)\/4)\/((-142)\/(-24) + -6). Suppose -c - b + a = 3*b, 0 = 3*c - 3*b - n. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6*x = 0. Let b(m) be the second derivative of 0 - 1\/20*m**5 + x*m**2 + m - 1\/4*m**4 + 1\/6*m**3. What is b(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5415, 10837, 16285, 21771, 27307, 32905, 38577?\n\"Answer: 2*t**3 + t**2 + 5405*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20676 > 20676?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.89727 millennia?\nAnswer: 289.727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2\/7))\/v)**31*v**3*v*v*v*v\/v**(2\/3) assuming v is positive.\nAnswer: v**(319\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 173344 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 194997096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 9*p**3 + 2772*p. Let g(l) = 3*l. Determine s(g(h)).\nAnswer: 162*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -7\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 22249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -150512*c**3*q**2 - 123*c**2*q**2 - 484*q**2 - 84764*q with respect to c.\nAnswer: -451536*c**2*q**2 - 246*c*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 124110 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -58. Calculate the remainder when r is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -b**5\/20 + 7*b**4\/12 - 2*b**3 + 5*b**2 + 3*b + 24. Determine a(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 1014 = -990. Which is the second biggest value? (a) 18.1 (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 9*p**2 - 2*p - 6. Let x be z(7). Calculate the common denominator of (-4 - -7) + x\/(-20) and 109\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 154 - 3?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12813 + 12812.9999984515. What is z rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24192 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3180571 times -0.109?\nAnswer: 346682.239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 + 241*f**2 - 3 + 0.\nAnswer: 241*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 r, and 1 a when three letters picked without replacement from gggaantrnrgtn.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 36*z + 513. Give n(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a year?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1340006873?\nAnswer: 89, 1439, 10463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 1 = -r, -61*t + 58*t - 4 = 4*r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3295197*n*u**2 - 2*n + 3*u**2 + 2326751 with respect to u.\nAnswer: 6590394*n*u + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 60424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 2.3 (b) -99 (c) -5 (d) 3.5 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 n when four letters picked without replacement from oohnoeeeoeenooone.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6144 by 2048.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(0 + 5)\/(-1). Suppose -5 - r = -5*m. Let y(k) = -2368*k + 6. Let o be y(0). Sort -5, m, o in decreasing order.\nAnswer: o, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**6\/120 - k**5\/20 - k**4\/6 - k**3\/2 + k**2. Let h be g(4). Let b = h - -4. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-2) + (2 - 5). Let f(o) = -19*o**2 - 4*o - 104. Let q(v) = -12*v**2 - 3*v - 65. Let h(r) = 5*f(r) - 8*q(r). Give h(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.7 (b) -4\/5 (c) -5\/3 (d) 0.07 (e) -11 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/(sqrt(729)*-1)*-2)**2.\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 1432.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2*67)\/((-1 + 10)\/9). Suppose 12*r - 3074 = -n. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31815 divided by -6363.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9038112 to the power of 1\/2, to the nearest integer?\nAnswer: 3006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 6, -0.2, -2\/9, -2\/33?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1840 + 3081. Let h = v + -2214. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 8, -370, 103 in increasing order.\nAnswer: -370, -6, 8, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23.75 + 89.77. Let l = g - 66. Sort -2\/9, -5, l in descending order.\nAnswer: l, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(1 + 2 - 1 + (2 + 1 - 1)*(1 + 0 + 1))*(-2*v - 197 + 140 + 0*v).\nAnswer: -24*v - 684","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -9*g - 3. Let q(u) = -14*u - 5. Suppose -2*o = -2, -2*o = -5*m - 0*o - 27. Suppose 5*p = -0*p - 5. Let v be p\/(-4) + 31\/4. Determine m*q(h) + v*r(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2256 by -2.\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**3 + 81*j**2 + 165*j - 2507. Factor w(b).\nAnswer: -3*(b - 55)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z**3 + 5305*z**2 + 10*z + 20. Let j(l) = 3*l**3 - 2654*l**2 - 4*l - 8. Let c(o) = 2*f(o) + 5*j(o). Let c(p) = 0. What is p?\nAnswer: 0, 532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 64, 124, 200, 298, 424, 584?\n\"Answer: p**3 + 2*p**2 + 47*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/21*(1 + 704 + -3). What is the highest common factor of 36 and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 14080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ididiii. Give prob of sequence dd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/7 + 15791936*y\/7 - 31173155328512\/7.\nAnswer: -2*(y - 3947984)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*o = -126 - 19. Let j(f) = 31*f - 23. Is j(o) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*s - 2*m - 1, -s + 1 = m. Suppose -10 = -a - 1. Let v = a + -8. Solve -2*o - 10 = -s*j - 4*o, o = -v for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5643, -5718, -5835, -5988, -6171?\n\"Answer: l**3 - 27*l**2 - l - 5616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 5*d**2 - d + 2. Let s(w) = -2*w + 5. Let a be s(0). Let o be q(a). Let c be (-4 - (o - -2)) + -41. What is c rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 256, -141, -548, -971, -1416, -1889, -2396?\nAnswer: -2943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((2\/198)\/(21\/(-63))). Let r(y) = y**2 + 11*y. Let j be r(-7). Let w = j - f. What is the highest common divisor of w and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 928 + -483. What are the prime factors of d?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**5\/60 + z**3 - z**2. Is w(5) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1238*m - 18204 = 1682*m for m.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 490 and 294.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 44372566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 e, 1 z, and 1 x when four letters picked without replacement from {z: 3, w: 1, e: 5, x: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 3:56 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*t - 4, -4*t = -3*s - 0 + 4. Let c be -5 + 12 + (-1 - 0). Let j = -3 - -8. Solve -s = j*d + c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {x: 2, t: 1, a: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (11\/2)\/((-89)\/178)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37622409?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327258481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 12:51 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i = 1542 + 5. Is 90 >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89797 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*k**4 - 4*k**3 - 1496313*k**2 - 38085411?\nAnswer: 8*k**3 - 12*k**2 - 2992626*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20187 + -403917\/20. Let n = c + 37\/4. Factor 1\/5*h**2 + 1\/5*h - n.\nAnswer: (h - 1)*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 56, 51, 48, 53, 72, 111, 176, 273?\n\"Answer: b**3 - 5*b**2 + 3*b + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7*91\/(-15925)*20\/(-48)\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**3 - 3*o + 4. Let c(a) = -a**3 - a - 1. Give -6*c(n) + 2*j(n).\nAnswer: 2*n**3 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 994391 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 11339?\nAnswer: 11335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + (5 + (((sqrt(833) + -1 - sqrt(833)) + sqrt(833))*-6 - sqrt(833)) + 2)**2)*-6.\nAnswer: -983544 + 30576*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 341.7 from -142146921919.\nAnswer: -142146922260.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-1) + (-3 - -1). Solve 0 = -q*b - 0 - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1470*z + 170*z + 52810 = 49113 - 97983 for z.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a micrometer in nanometers?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/4 - 2855*x\/4 - 278799.\nAnswer: -(x + 467)*(x + 2388)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -140742441 + -3?\nAnswer: -140742444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 13*z**2 + 8*z + 7. Suppose -7*t - 18 = -t. Let s be q(t). What is the highest common divisor of 25 and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1.2. Let q = 5.3 + -5. Let d = 0.2 - q. What is the nearest to -0.1 in 6\/11, r, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -35\/3, -0.3, 3, 124, -0.1, -61?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 6231*n**2 + 1314738*n - 633. What is p(-211)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {g: 1, p: 5, v: 3, u: 1, w: 3, j: 4}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 5*k**2 - 3*k + 2. Let q(p) = p**3 + 7*p**2 + 5*p - 3. Let j be q(-6). Give d(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3369 and 65761757?\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 366 - 186. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-22))\/((-2)\/(-22)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - -8. Suppose p = 6*g - 2*g + 2*v, 3*g = 4*v + 26. What is the smallest common multiple of g and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 791 is divided by 78?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 745950 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) 3\/2 (c) 136 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 495863.7 kilograms in nanograms?\nAnswer: 495863700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29008590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10690 - 7616. Let j = f + -1255. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 695 divide 716545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 times 22856?\nAnswer: 1074232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -182 - -179. Let p be (14 + -15)\/(b*3\/(-153)). Round p to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6152218 to the nearest integer?\nAnswer: 2480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (34\/119)\/((-145)\/(-21) + -7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9325 - 6312. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*z + 1132 = -1076 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/3 (b) -1 (c) -0.1 (d) 0.038 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2121 at least 2119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*d + 6 = -10, -2*n - 2*d + 34 = 0. What is the highest common factor of 2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 151*x - 14. Let t(g) = -52*g + 5. Let h(o) = 3*r(o) + 8*t(o). Let a(u) = 3*u. Give a(h(f)).\nAnswer: 111*f - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-54))\/((-4)\/18*(-1509)\/20120)?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 87231*o**4 - 4*o**3 + 97066*o.\nAnswer: 1046772*o**2 - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (72\/(-32) - ((-61)\/(-44) - -1))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7\/2 - -15\/4. Let n(q) be the first derivative of 2 - 1\/12*q**3 - v*q - 1\/4*q**2. Factor n(c).\nAnswer: -(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 4*h**2 + 3*h + 10. Let s be d(4). Is s greater than 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 23. Let v = 5 + x. Let o = -33 + 167\/5. What is the closest to o in -1, -1\/2, v?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, o: 2, k: 2, d: 2, a: 1, n: 1}. Give prob of picking 1 a and 1 o.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**2\/2 + 1. Let z(r) be the third derivative of 0*r - 9*r**2 - 1\/12*r**4 + 0*r**3 + 0. What is q(z(g))?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 2)*(-4 + 3 - -7). Put -2, -4, h in descending order.\nAnswer: -2, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*k + 16 = 0, d - 17 + 5 = -k. Calculate the lowest common multiple of 44\/(-48)*-3*4 and d.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00595775 rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*m + 365 - 449 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2163*t - 12974. Let o be k(6). Solve o*w + 5*v + 23 = 0, -2 = 4*w - 2*v - 0*v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -104*u + 57*u - 14 - 6*u**3 + 55*u - 2*u**2 + 5*u**3 as o*u + q + a*u**3 + b*u**2 and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 77aa74 (base 14) in base 13?\nAnswer: ac3566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*w + 31*w = -20. Suppose -w = z - 0*z. Put 3\/8, z, 0.3 in increasing order.\nAnswer: z, 0.3, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1))**20)**40\/((u**(-2\/15)*u)\/(u*u*u*u\/(u\/u**(-1))*u))**46 assuming u is positive.\nAnswer: u**(25472\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 20 = 24. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*v - 6*v**3 + 21\/4*v**4 + 0 + 3\/4*v**5 + 0*v**2.\nAnswer: 3*v**3*(v - 1)*(v + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 6. Let f = 8 - h. Let w = 3 + f. Which is the smallest value? (a) -1 (b) w (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -4, 0.2, -554, 3776?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -25*y**5 - 2945*y**4 + 343865*y**3 - 7660955*y**2 + 8770460*y - 1450400 = 0.\nAnswer: -196, 1\/5, 1, 37, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3834217, -7668405, -11502593, -15336781, -19170969?\n\"Answer: -3834188*j - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -184 - -183. Let q(a) = -9*a**3 - 4*a**2 - 4*a. Let u(v) = -v**3 - v**2 - v. What is k*q(z) + 4*u(z)?\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 2. Let b(s) = -2*s + 2 + 4*s - 4*s**2 + 0 + 0 - s**3. Let j be b(-4). Calculate v(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 1 - 5. Let y(z) = 3 - z**o - 7 + z**2 + 17 + 3*z - 2*z. Is y(0) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1707a74 (base 12) to base 10.\nAnswer: -4741432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/2*(11 - -2). Suppose -b - 2*b + 2*f = -824, 796 = 3*b + 5*f. Let m = b + x. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 - 64*t + 86. Let v be g(-33). Let o(s) = 2. Let m(p) = -4*p - 20. Let w(k) = v*o(k) + 2*m(k). Let h(r) = 7*r**2. Give w(h(c)).\nAnswer: -56*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 0.2 (c) 0 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3387121, 6774242, 10161365, 13548490, 16935617, 20322746, 23709877?\nAnswer: 27097010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 7. Let a be u\/6 + (-1)\/(-3). Put a, 0.1, 4 in descending order.\nAnswer: 4, a, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r = 12*r + 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110101 (base 2) to base 5.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by (59 + -5 - 3) + -7.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m**2. Suppose 21 = 7*a - 7. Let c(f) = 0*f - 3*f - a*f + 5*f. What is c(h(b))?\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252905 is divided by 7659?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10651985 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 109.6 times 124370\nAnswer: 13630952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1606 divided by 151303.\nAnswer: -1606\/151303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 2\/11 (b) 4 (c) -0.2 (d) -2 (e) -194\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**15\/w))\/w)**(1\/32))**(2\/17) assuming w is positive.\nAnswer: w**(-7\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0. Suppose -4 = -r*j + 4*j. Suppose 103*c - 52*c = 0. What is the third biggest value in -3\/7, j, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.2, -3, -550, 4, -5 in descending order.\nAnswer: 4, 0.1, -0.2, -3, -5, -550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -564.\nAnswer: 2256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 6*k + 7. Let y be z(4). Let a = 1 + y. Let s be -2 + -1 + 10 + -2. Solve -s*q = -a + 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 793397 + 0.33.\nAnswer: 793397.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*g - 669677 = -8*z, 0 = -2*z + g + 334841. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -6. Suppose -w = 5*h + 36. Let g(y) = -y**3 - 10*y**2 + 3. Is 3 a factor of g(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h**(-1\/4))\/h)**(-2\/31))**(4\/21))**(-23) assuming h is positive.\nAnswer: h**(-46\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10073\/2380 - 6\/(-51) and -125\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 30598.87ml?\nAnswer: 30.59887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -114 + -1 - (26 + -27). Let f = -105 - k. Suppose t = -t + f*t. Solve t = 3*b + 14 - 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**2 + n. Let f be q(1). Let u = -1 - f. Let c = 13.9 + -14. Are c and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2079)\/35*(-10)\/3. Suppose -m = 4*d - s, 3*m = 2*d - 2*m - 88. What is the remainder when d is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46931\/19 + 2471. Let m = 40 + -38. Is m >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -9 + -6 - 3\/(-2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2881 = 9*v + 58*v. What is the remainder when 2362 is divided by v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 6. Let v be 48\/40 + (3\/5 - 1). Which is the nearest to h? (a) v (b) -4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/2*(-12)\/(-9). Solve -p*o = 2*o + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1468 and 58353.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2 - -6)*-1)\/1. Let a = 6 + k. What is the third derivative of 0*b**5 + 0*b**a - b**2 + b**5 wrt b?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 - 2445*v + 2453*v - v**2 + 35.\nAnswer: 3*v**2 + 8*v + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2. Let y(z) = 855321731*z. Calculate y(s(l)).\nAnswer: 1710643462*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -47? (a) 0 (b) 5\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**3 - 2*o**2. Let b(y) be the second derivative of y**5\/5 + 5*y**4\/12 - 3299*y. Suppose 2*l + t = 10, 8 = 2*l + 3*t - 2. What is l*q(m) + 2*b(m)?\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 1236780\nAnswer: -7\/1236780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -7*i - 43. Let n(r) = -3*r**3 + 3*r**2 - 5*r - 1. Let v(w) = -w**3 - w**2 + w. Let p(x) = i*v(x) + n(x). Calculate p(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 590465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/36190 and -131\/480.\nAnswer: 1737120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -300002101 + 102?\nAnswer: -300001333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/14 - (-20308)\/(-14). Is 6 a factor of 8\/44 - p\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1574782717.\nAnswer: 181, 8700457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + j**2 - j**2)*(0 + 2*j**3 + 0) - 2*j + 2*j - 2*j**5 + j**5 + j**5 - 4*j**5 + 13 - 13 - 2*j**5 + (-2*j**5 - j**5 + 2*j**5)*(1 - 3 + 0).\nAnswer: -6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1916 - -1921. Solve 8*p = -g*p - 65 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1772, 1776, 1784, 1796, 1812, 1832, 1856?\n\"Answer: 2*l**2 - 2*l + 1772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*d = 119487 + 271992. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 312 and 377052.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -293154 divided by -97718?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -347 greater than -33678\/97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 56430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a - 3 + 5 - 4. What is b(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 - 44. Suppose 0 = p*r - 28 + 8. Factor 1\/2*x**4 + 1\/4*x + 0 - 1\/2*x**r - 1\/4*x**5 + 0*x**3.\nAnswer: -x*(x - 1)**3*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llo when three letters picked without replacement from olloooilmioooliolo?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-12) - (-66)\/328. Let o = 678587\/82 + -8275. Let t = z - o. Put 5, t, -5 in ascending order.\nAnswer: -5, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/148 and -76\/15?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -51286.94 and -3.0633?\nAnswer: 51283.8767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*w = 0. Solve 3*l = -3*y - 15, w = 5*l + 2*y - 7*y - 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4*b - 6. Let u be (7 - 7)*1\/b. Which is smaller: u or 3\/8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 247 (b) 0.3 (c) -2\/947\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5848*l**2 + 5839. Let w(c) = 3898*c**2 + 3893. Let d(f) = -5*p(f) + 8*w(f). Differentiate d(m) wrt m.\nAnswer: 3888*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8349502061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 182 - (66 + 40 + 3)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvbv when four letters picked without replacement from bvvvbvvbvbvbvfsb.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.61884794 to four decimal places.\nAnswer: -0.6188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 316259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 12) to base 10\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/1355 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5 bigger than -121126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -11*o + 2. Let w(z) = -5*z + 1. Let t(m) = -6*h(m) + 13*w(m). Let s(i) = i + 2. Let l = -20 - -23. Determine l*s(b) - 4*t(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*q + 3054 + 4137 = 0 for q.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/12)\/(-1) - 6\/1404*-159. Which is the fourth biggest value? (a) -1 (b) -2 (c) g (d) -0.36 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ehkk when four letters picked without replacement from kzekzjhkjzkv.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, d: 3, m: 1, z: 3, w: 1, u: 1}. What is prob of sequence nn?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1967 divided by -5?\nAnswer: -1967\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + m + 31, 3*m - 8 - 39 = -2*j. Let a be ((-8)\/j)\/(1\/(-7)). Suppose 121 = l - 2*g, 3*g = a*g + 3. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2881, -460, 3575, 9224, 16487?\nAnswer: 25364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -5*c - 14 + 37, 5 = c + s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3699 by -153.\nAnswer: 411\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f + 42. Let o(z) = 636340*z. Calculate o(b(u)).\nAnswer: -1272680*u + 26726280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 - 3) + (1 - -5). Calculate the common denominator of -31\/4 and y\/1 - 1786\/342.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 2:23 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 5:02 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00695435 rounded to four decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-1)\/(-2)) + -2. Let v = -0.06 + 0.03. Let t = 0.43 + v. What is the nearest to -1\/2 in -2\/7, t, h?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 144, 15, -1, 5, 492 in decreasing order.\nAnswer: 492, 144, 15, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -59*m**4\/12 + 32*m. Let g(l) = -l. Calculate g(i(z)).\nAnswer: 59*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (6*sqrt(153) - 2*sqrt(68)\/sqrt(4))*6)**2 + (sqrt(272)*1 + -2 - ((sqrt(425) + 1)**2 - sqrt(425))*-1).\nAnswer: 777*sqrt(17) + 157112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 32 = -47 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2. Let i(s) = -4*s**2. Let z(c) = -i(c) - 3*w(c). Let y(l) = -l. Give y(z(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (234*t - 415*t - 480*t)*(-2*t**4 + 1 + 0*t**4 + 2*t**2 + t**4).\nAnswer: 661*t**5 - 1322*t**3 - 661*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 590900 divided by -5?\nAnswer: -118180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 16*z**3 - 653519*z**2 - 1 + 653519*z**2 - 13*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 20 - 4 = 0. Let u be (6\/(-4))\/(5\/(-80)*12). Solve -7*l - u = -s*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -17. Suppose 5*d - 5*q = 35, -3*d + 23 = -0*d - 4*q. Suppose -d = -x + 2*f - 0, 5*x - 37 = -2*f. What is the smallest common multiple of i and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + sqrt(1872) + (-5*1*sqrt(1872) - sqrt(1872)) + -4 + -6*(sqrt(1872) + 0) + (sqrt(1872) + 1)*1 + -1)**2.\nAnswer: -720*sqrt(13) + 187209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 177806857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 5*v - 4*v)*(-2*v**2 + 2*v**2 + 4*v**2).\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4\/3 (b) 3 (c) -2 (d) 3\/2 (e) 214\/3 (f) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 0. Suppose o + 53 = 3*g - g, -24 = -g + o. Suppose -s + 6*s + 3*d = g, -5*s - 2*d = -26. Solve 3*f + s = m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 19*v - 3. Let g(f) = 11*f**2 + f. What is the remainder when k(2) is divided by g(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(-2\/5)*t*t))\/t*t**7*(t**0)**3)\/((t**1)**(-42)*(t**(1\/2))**24) assuming t is positive.\nAnswer: t**(172\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -2*n**3 - 5*n**2\/2 - n + 1094. Let h(m) = -3*m**2 - 2*m. Calculate -5*h(z) + 2*p(z).\nAnswer: 3*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5683972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23112, -25966, -28842, -31752, -34708?\nAnswer: -37722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.9503 + -0.0297. Let l = o - -12.48. Which is the third biggest value? (a) 3 (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + (-20 - -54) - -26.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 29*i**7\/210 + i**6\/40 - 11*i**5\/15 + 17*i**4\/24 + 2*i**2 - 1384. What is the third derivative of u(w) wrt w?\nAnswer: 696*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 0, -1\/200?\nAnswer: -1\/200","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -104*j + 103*j - 1, 28 = 7*j for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 12:02 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 - 9)*(-2*k**3 - 2*k**2 + 2*k**2)*(51*k - 1155*k - 339*k) to the form d*k**3 + o*k**2 + v*k + c + s*k**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 151518901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 12*i**2 - 30*i - 2. Let g be z(-2). Find l, given that 122*l + 98*l**2 - 199*l**2 - 120 + 99*l**g = 0.\nAnswer: 1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 7*h**2 + 6*h. Let t(j) = -j. Calculate -6*t(c) - v(c).\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -39475, -39474, -39473, -39472?\n\"Answer: b - 39476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, j: 1, t: 1, b: 2, u: 3}. Give prob of picking 1 t and 1 j.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4 - 9*o**3 - o**3 - o + 15*o. Let f(i) = 2*i**3 - 3*i + 1. Let u(z) = -16*f(z) - 3*x(z). Determine d so that u(d) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*d - 351 = 44*d - 30*d for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/32, -5, -25, 0 in ascending order.\nAnswer: -25, -5, -1\/32, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - 2. Let i = 10 + p. Suppose 0 = i*y - 3*m + 13711 + 11486, m = -y - 6301. Round y to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.807 times 0.005\nAnswer: 0.009035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 783.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9481.0022326 - 9481. What is z rounded to 4 dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 (base 9) to base 14\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-23)*i\/(i\/(i\/(i\/(i\/(i**(2\/11)*i)))))*i assuming i is positive.\nAnswer: i**(-244\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 4*i + i)*(-i**2 + 0*i**3 + 5*i**4 + 2*i**2 - 3*i**3).\nAnswer: 10*i**5 - 6*i**4 + 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/sqrt(6)*3)\/sqrt(7) + 4.\nAnswer: 4 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oxxo when four letters picked without replacement from xxxooxooxooxx.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 178064162 to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 102*f*m**3*t + 41*f*m**3 - 9287*f*m**2*t + 6*f*m**2 + 5*m**3*t wrt m?\nAnswer: 612*f*t + 246*f + 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g + 26. Let w be u(-8). Which is the smallest value? (a) 11 (b) w (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 10) to base 2.\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15818*m*o*r - 3*m*o + 596*o*r - o + 2*r + 15 wrt m.\nAnswer: 15818*o*r - 3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b4d (base 15) to base 3.\nAnswer: -10111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -1100102200012?\nAnswer: -1100102200001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 1. Let j be s(0). Which is the closest to -2? (a) 2 (b) j (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 17*l - 12 = -3*q, -10 = 5*q. What is the hundreds digit of 195790\/133 - (36\/(-57))\/l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + -2 - (-17 - -16). Calculate the least common multiple of 6 and -2*(h + 0)*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 2da13?\nAnswer: 2da18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/1)\/(1\/7). Let c = 3.747 - -0.173. Let j = c + 0.08. What is the second smallest value in g, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 21. Suppose s = 2*k - 5*o, 0 = -2*k + 4*o + 35 - 11. Calculate the remainder when k is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-20.2\nAnswer: -10.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-52)\/(-130)*15\/6)\/(3\/149643)?\nAnswer: 3, 13, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 28315?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-10)\/85 - 234\/34) + 65 and 638.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1252 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15151351 - 1?\nAnswer: -15151352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 - r**2 - 3*r**2 + 3*r**3 + 353*r - r**2.\nAnswer: 3*r**3 - 2*r**2 + 353*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/10*-4)\/(10\/75)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -15*z - 108. Let t(k) = -5*k - 36. Let h(d) = -4*p(d) + 11*t(d). What is the remainder when 17 is divided by h(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 135*r**2 + 18*r - 7.\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from {u: 4, c: 3, z: 1, v: 1, a: 6, l: 3}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2234 + -2234. Let o(t) = t**3 - 3*t**2 - 3*t + 1. Let v be o(6). Suppose q = d - v - 60. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**5 - 56074826*l**4 + 573326038*l.\nAnswer: -40*l**3 - 672897912*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 11*b - 9. Give z(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 1, -2\/31.\nAnswer: -0.8, -2\/31, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 135 or 15?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 6781737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 879 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 166034 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/(4\/(-32)*-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -6, -12, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 521408214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3206178*b**3*h**3 - 4*b**3*h**2*m + 231*b**3*h + b**2*h + 174*b**2*m + b*h**6*m + b*h**2*m wrt h.\nAnswer: 19237068*b**3 + 120*b*h**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 17*j + 14. Let v(t) = -1. Let i(w) = c(w) + 3*v(w). Let r(x) = 3*x**2 + 42*x + 27. Let k(h) = -12*i(h) + 5*r(h). Factor k(g).\nAnswer: 3*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 432 = -37*o + o. Let b(n) = -n**2 - 46*n - 1. What is the hundreds digit of b(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7530.544 kilometers to millimeters.\nAnswer: 7530544000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -31. Let u = -2.5 - 5.5. Let j = p + u. Which is the closest to -1\/4? (a) -2\/11 (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 - 7*q + 2. What is j(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 3:04 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 42a869 + 6?\nAnswer: 42a873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 8. What is the units digit of p(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f + 51. Let o(d) = -98*d + 381. Let i be o(4). Let q(v) = v + 10. Calculate i*q(j) + 2*t(j).\nAnswer: -j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -21948 - 347*p**2 + 21948 in the form i*p + h*p**2 + c and give h.\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.091759 - 2937?\nAnswer: -2936.908241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + 6595.\nAnswer: 6595.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -63e5 (base 16) in base 10?\nAnswer: -25573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2185*q + 52737 + 33271 = 115*q - 29912 for q.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -6*s + 79. What is c(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2 - 4. Let l(g) = -g**2 + g. Let k(b) = -3*b**3 - b**2 + 3*b. Let t(o) = q*k(o) + 3*l(o). What is the third derivative of t(m) wrt m?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 0*d + 2\/45*d**5 + 1 + 1\/6*d**4 + 2\/9*d**3 + 1\/9*d**2. Find s such that r(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/21 (b) -0.3 (c) -0.04 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z = -15*z. Suppose -f - j + 116 = z, f + 2*f = -2*j + 353. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 x, and 1 p when three letters picked without replacement from {x: 1, o: 3, p: 1, w: 5, q: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -19.5, -1\/112, -15, 3, 1?\nAnswer: -1\/112","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/9 + -2 + -2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*b - 2*b - 13 = 0, -3*i = -4*b + 27. Is i smaller than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 5) in base 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3904*g**3 + 2 - 3900*g**3 + 45*g**2 - 1 + 2*g in the form j*g + d*g**2 + p*g**3 + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/12 and 25721\/93534 - 1\/3?\nAnswer: 11004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2450*u**2 - 294*u + 1158. What are the prime factors of f(4)?\nAnswer: 2, 11, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12387049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 3\/7, -47, -12, -14.2 in increasing order.\nAnswer: -47, -14.2, -12, 3\/7, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 272561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23\/8 + 827\/40. Let t = 87\/5 - h. Which is the third biggest value? (a) t (b) 0.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10302230131 (base 4) to base 2.\nAnswer: 100110010101100011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 10*x + 8. Let s(f) = 2*f**2 - 21*f + 16. Let h(d) = -2*s(d) + 5*z(d). Calculate h(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -149*h - 2. Let f(r) = 44*r - 1. Determine f(c(l)).\nAnswer: -6556*l - 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/3 - 7502*z**2\/3 - 37460*z\/3.\nAnswer: -2*z*(z + 5)*(z + 3746)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44051 and 609?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 + 1 - (-28 - -20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 130 + -129.84. Let r = 0.1016 - i. What is r rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*y - 1054 - 1039. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**8)**(1\/5)\/(u*(u\/(u\/(u\/(u*u*u**(-2\/7))))*u)\/u*u**(-3\/5)) assuming u is positive.\nAnswer: u**(67\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -147331606*n**3 + 147331660*n**3 + 2932 + 7772 + 23*n**4 wrt n.\nAnswer: 92*n**3 + 162*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104434 (base 10) in base 3?\nAnswer: 12022020221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3073301234 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/85))\/(h**(-27)\/h*h) assuming h is positive.\nAnswer: h**(2378\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**8\/6720 + x**7\/3360 + x**3\/3 + 1. Let l(k) be the third derivative of s(k). Factor l(c).\nAnswer: -c**3*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*0.25.\nAnswer: 0.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1069 + 360*s - 739*s + 378*s + (1 + 0 + 0)*(-s + 2*s - 3*s) in the form g + w*s and give g.\nAnswer: 1069","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 + 156*r**2.\nAnswer: -2*r**2*(r - 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 569*i - 15 + 6*i**2 - 836 + 563*i - 1134*i.\nAnswer: 6*i**2 - 2*i - 851","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/3 - 98*j**3\/3 - 316*j**2 - 1630*j\/3 + 2675\/3.\nAnswer: (j - 107)*(j - 1)*(j + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 45923, 1\/17?\nAnswer: 45923","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 24*t + 35. Let b(k) = 6*k + 4. Let c(j) = 3*b(j) - l(j). Calculate c(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6116, 2\/9, 1\/5 in decreasing order.\nAnswer: 2\/9, 1\/5, -6116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21910 - -72965. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164799248 is divided by 250.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*p**3 - 3*p + 1 + 0 - 2 - 2*p**2 + 24*p**3 to the form x*p**2 + l + i*p + o*p**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -10*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 - (-82 + 51 + -66).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 1052486.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(-g + 3*g - 3*g) + (2 - 3 + 2)*(-2*g + 0*g + 0*g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*f + 424*f = -420*f - 571*f - 30861 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13.15596 weeks?\nAnswer: 7956724.608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 2 - -4)\/(6\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, a: 6, g: 3}. Give prob of picking 3 n.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 180.4 and -0.25118.\nAnswer: -45.312872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2*o. Suppose 2*w - 2 = 0, 0 = 5*q - 2*w - 0*w - 18. Suppose -q*h = -o*h - 100. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 40.87 and -1147?\nAnswer: 1187.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r. Let l(k) = 6*k**3 - k. Let a be l(-1). Let m(d) = -d. Let p(q) = a*m(q) - 4*n(q). Let s(h) = -2*h - 2 + 2. Calculate p(s(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 6. Let s(a) = a**2 + 11*a + 7. Let c be s(-11). What is the second smallest value in l, 3, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290312 = 21112*n - 21156*n. What is the remainder when n is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x + 9*x - 7*x)*(1729*x - 22 - 1729*x + 3*x**2).\nAnswer: 21*x**3 - 154*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2040397.4875 to the nearest ten.\nAnswer: -2040400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 1.2. Let t = 0.36 + -0.25. Let b = t + 3.89. What is the nearest to -1 in q, b, 3\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -73\/8 at most -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23564.759 + -23581. What is r rounded to zero dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/5 - 3) + 33. Suppose 17*q + 288 = 26*q. Let i = p - q. Which is the nearest to i? (a) -5 (b) 2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -34)*4*3\/(-12). Let s = -27 - c. Suppose 5*h = -q + 16, -4*q - s*h = -7*h - 1. Calculate the lowest common multiple of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31271921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 3*s - 2. Let r be q(-2). Suppose 5*u - 15 = -r. Let k be 2\/3 + 10\/u. Solve 4*p + c - 3 = 10, -2*c = k*p - 10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48*j**6 - 33*j**4*q**2 - 2*j**2 + 2446*q**2 wrt j?\nAnswer: 5760*j**3 - 792*j*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9882 and 5184?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (101*h**2 - 131*h**2 - 290*h**2)*(6 - 1 - 3)*(-3*h + h - h) in the form a*h**2 + u*h + s + b*h**3 and give b.\nAnswer: 1920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28364808 by -3.\nAnswer: -9454936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/(((-60)\/(-120))\/(1\/(8\/(-12))))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 33365999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 132097247, 4.\nAnswer: -2, 4, 132097247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -954 - -1307.7. Let f = g - 353. Which is the second biggest value? (a) 1 (b) 0.05 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**4 + 8. Let u be ((-52)\/65)\/(4\/(-10)). Let y(p) = 5*p**4 + 4 + 20 + 1. Let t(s) = u*y(s) - 7*f(s). What is the derivative of t(v) wrt v?\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34568348 divided by 899?\nAnswer: 38452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 3\/47 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 5*l + 53 = 0, -3*y + 12952*l - 12947*l = -59 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c - c - c)*(-12 + 5 + 6)*(2 + 1 - 4)*(2*c**2 - 2*c**2 - c**2)*(3 - 6 + 2) in the form h*c**3 + b*c**2 + i + f*c and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 85023, 169923, 254827, 339735, 424647, 509563, 594483?\n\"Answer: 2*l**2 + 84894*l + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3357 + 3356. Which is the nearest to m? (a) 5 (b) 80 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2431997 is divided by 2389?\nAnswer: 2384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*w**3 - 227*w**3 - 9*w**2 + 10*w**2.\nAnswer: -308*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -740, -2471, -4190, -5891, -7568, -9215?\nAnswer: -10826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t + 14. Let q be f(6). Suppose q*w - g = 3*w + 2, -5*g - 22 = -w. Let y(p) = 4*p**3 + 3*p**2 - p - 1. Is y(w) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 8*f**2 - 14*f - 4. What are the prime factors of g(4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.92 and -294?\nAnswer: 270.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136 - 136 - 5*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 84532387 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33.8*-11.82.\nAnswer: -399.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -491, 1\/4, -0.3, -4\/3, 3.4, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -46*c + 1. Let w = 35 + -37. Let v(a) = 44*a - 2. Let n(y) = w*v(y) - 3*d(y). List the prime factors of n(3).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*z + 29*f = 89*z - 130, -z - 11 = f for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88 + 29. Calculate the remainder when j is divided by ((-5)\/(-2))\/(8 - 7884\/1008).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgvggvw. What is prob of sequence vg?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -110 - -45. Let s = -46 - p. Let x = -18.9999 + s. Round x to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3989 and 20.\nAnswer: 20.3989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -315.05 + -1.85. Let f = 304 + j. Let g = -12.8901 - f. What is g rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 16*y + 67. Let h be u(19). Suppose 0 = h*b + 16*b - 12974. What are the prime factors of b?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393743 is divided by 19670.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -5*h - 5*v + 6, 7*v + 14 = -h + 10*v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28729 is divided by 125.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.422, -11, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from ooooooaooaaooo?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xhe when three letters picked without replacement from {h: 4, x: 1, e: 2, g: 6}.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28)\/21 - (-2 + 1). Sort i, 2\/11, -0.1 in decreasing order.\nAnswer: 2\/11, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n - 15. Give c(-10).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520656327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2\/3 - 847*p\/3 + 1706 = 0. Calculate p.\nAnswer: -853, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 38*p - 5. Let f(m) = -79*m + 10. Determine 4*f(j) + 9*g(j).\nAnswer: 26*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199526 is divided by 6879.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9450 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 divided by -563?\nAnswer: 48\/563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zezzzbe. Give prob of sequence bee.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.7039888 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 75498 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-8)*-6*(-20)\/210. Which is the second smallest value? (a) 3 (b) 0.004 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 458 and 0.03?\nAnswer: 13.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-8))\/(1\/6). Suppose -i*o = -2*o - 9086. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7.65 and -11.5.\nAnswer: -19.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = l, 4*w + 3*l = -0*w - 14 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/146044 and -17\/3797144.\nAnswer: 3797144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73213.59 decades to years.\nAnswer: 732135.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 3. Let i be t(-3). Suppose i = 2*k - 2*b - 162, 0 = -5*k - 4*b + 2*b + 426. Let m = 181 - k. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25275 + -25272. Solve -r*s = g - 6, g - 9 = 5*s - 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -7*r + 20 + 19 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**3 + 23*y**2 + 38*y - 536. Let o be f(11). Suppose 124 = 4*g + p - 5*p, -5*g = p - 167. Calculate the greatest common factor of g and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 778*y**3 - 34*y**2 - 8*y + 49. Is q(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjh when three letters picked without replacement from hjsbbsjhbbpjp.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3042 - 2128. Let t = q + -887. Calculate the remainder when 106 is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -147700 by -7.\nAnswer: 21100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 36 = h - 2*u, -2*u + 140 = -5*h. Let v = 26 + h. Suppose v = -24*b + 23*b + 2. Solve -b*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 11) to base 7\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*o = -187*o + 12528 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/7 + 291\/7*f - 72\/7*f**2.\nAnswer: -3*(f - 4)*(24*f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20.6 - -46.7. Let f = r + -26. Let s(t) = -t**3 + 7*t**2 + t - 2. Let u be s(7). Which is the closest to f? (a) u (b) 3\/4 (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1210 + 307. Let o = g + 1814. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hef when three letters picked without replacement from {h: 2, i: 9, e: 1, f: 2}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 11. Suppose -4*x + 3*x + 12 = 2*f, -f + b = x. Find the third derivative of z**2 - 2 + 2 - 4*z**f + 3*z**6 wrt z.\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41245861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-6)\/(-10))\/(36\/35 + -1) and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -17. Let o = -2852 - -2863. Which is greater: o or f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 350 and 200620.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 0.1 (c) -2\/1765 (d) 2\/7 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -111 - -150. Let q be (-26)\/n - (1 + 0)*-1. Let v = 8 + -5. What is the closest to q in -1\/6, v, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -0.036 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.477 rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 42 + 45 = 0, 4*m + 4 = 4*p. Let n be (-50)\/(-10) + 1\/(-1). Suppose -n*g + 5 - 3 = 3*f, -4*f = 4*g. Solve -v + 5*s = 15, 2*v + g = s + p*s for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 60\/(-18) - (-247)\/39. Let a(t) be the third derivative of 0*t + 0 + 0*t**4 + 12*t**2 + 0*t**r + 13\/60*t**5. Let n(d) = -d. Give a(n(j)).\nAnswer: 13*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-5 + -1)*-5. Let x = 51 + q. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -12 + 7 - 21*z + 27*z + 12. Let g(s) be the first derivative of s**2\/2 + s - 5. Let d = 2 + 0. Give d*c(i) - 14*g(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a - 8 - a**3 + 18 - 75*a**2 - 1 + 39 + 90*a**2 to c + y*a**3 + f*a**2 + d*a and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222120 (base 3) to base 16.\nAnswer: -2cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -21*s + 16*s + 6934, 0 = 2*g - 2. Calculate the smallest common multiple of s and 4.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24912330?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 792, 1587, 2382, 3177?\n\"Answer: 795*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2306133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**3 + 0*m**3 + 3*m**3 - 2 - 22.\nAnswer: -m**3 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 + 31. Let k = t - -7. Let c(x) = 2*x**2 + 3*x. Determine c(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3741, -7402, -11063?\n\"Answer: -3661*p - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70125 - -70115. Let g = 2 - 0. Let o(n) = -n + 1. Let v be o(g). Which is the second biggest value? (a) 4 (b) l (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 0*f - 3*f)*(-3*f**3 + 3 - 3) - 3*f**4 - 3*f**4 + 4*f**4 - 9*f**4 + 0*f**4 - 5*f**4.\nAnswer: -10*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 16842*w - 202066. What is s(12)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1801400 by -5.\nAnswer: 360280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43*x*z**2 - 4*x*z + 1592*z**2 wrt x.\nAnswer: 43*z**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (6\/(-3) + -1). Suppose -12*u + 10 = 10. Solve -s - 3*g + 4*g = u, -s + v*g + 12 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*c - 14 = -m, 5*m = 2*c + 26. Suppose 0 = -2*g + 6*g - 8. Let s be (g\/(-1))\/(m\/18). Sort -1, 3, s, -2 in ascending order.\nAnswer: s, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/8)\/(27\/(-12))*-2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 209803683 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 5. Let j be o(10). Is 20\/j - 346\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12 and -420832?\nAnswer: 420844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225*i + 93*i - 74096 = 402904. Calculate the highest common factor of i and 144.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/68 and -63\/10?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s + 2*s - 2*s)*(-2*s + s + 3*s + (2 - 2 + 2)*(6 - 6 + s)) to z*s + d*s**2 + u and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -13155660 divided by -1484\nAnswer: 8865","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 8*b**2 - 9*b - 6. Let n be m(-6). Let g be -4*(4\/1)\/n. Sort g, -1, 0.02.\nAnswer: -1, 0.02, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 695, 589, 489, 395?\n\"Answer: 3*u**2 - 115*u + 807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*i + 3. Let q(r) = 2*r**2 - 6. Let g(t) be the third derivative of -t**3\/6 + 16*t**2 - t. Calculate i*g(z) + q(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -496.1771 + -0.1229. Which is the second biggest value? (a) i (b) 2\/5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 0) + -13 + (1 - -8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -205*w + 18. Let y be n(-10). Let i be 43294\/(-21) + (-2)\/(-6). Let z = y + i. Calculate the common denominator of -9\/4 and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -2 - -1) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + (113 - (8 - (23 - -6))) + (-17 - -3)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbe when three letters picked without replacement from {b: 10, f: 2, l: 1, e: 2, t: 2, k: 3}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*k = 0. Let z(c) = -1. Let n(w) = -w + 8. Let t(y) = n(y) - 4*z(y). Let l be t(k). Calculate the greatest common divisor of l and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59392134 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*y - 9 = 297*y + q, 4*y - 17 = 6*y - 3*q - 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 9:25 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-52)\/5)\/(65\/(-1300)). Calculate the greatest common factor of t and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + i + i**2 + (-1 + 1 - 3*i**2)*(0 - 3 + 0).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 divided by 3?\nAnswer: -77\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -21*n + 3*n - n**2 - 5*n + 10*n. Is t(-10) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.143 and -13.5.\nAnswer: -15.4305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + 49. Let l be (1 - 2)*70*18\/(-45). Calculate the greatest common factor of l and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*h + 16*h - 18*h + 30*h.\nAnswer: -96*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -36*n - 293. Let t be h(-8). Sort 1, t, -52, 2 in ascending order.\nAnswer: -52, t, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20 + (6 + -3)\/3. Let x be 28\/6 + 7\/f. Find the third derivative of 0*l**4 - 3 + x*l**4 - 4*l**2 + 3 wrt l.\nAnswer: 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291 + 199 = 25*m - 3*m + 2*i, -3*m - 8*i + 57 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2bbc8 (base 15) in base 10?\nAnswer: -141038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -11. Let w be 2\/h - (-6)\/(-30). Let v be 2\/(-9) - 16\/9. What is the second smallest value in w, -0.4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 7:39 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(3) + (sqrt(3) - 3*sqrt(3))))\/sqrt(8).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 0.5 (c) 1\/5 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12160609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -s + 5. Let d(o) = -o**3 + 8*o**2 - 10*o + 10. Let n be d(7). Let k = n + s. Solve 0 = u, 0 = 5*j - k*u + 3*u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17236259422 - -2129.\nAnswer: -17236257293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-2\/13)\/h)\/h)\/h)\/(h\/h**(1\/2)*h)*(h**(-1\/3)*h)\/(h\/h**(1\/2)) assuming h is positive.\nAnswer: h**(-175\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 18 = -6. Suppose 3*k - 3*m = k - 5, -s*k + m = -15. Solve -2*v - k*g = -17, 0*g = -4*v + 5*g - 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - 2. Let j(n) = -n. Let k(d) = d. Let b(m) = v*k(m) - 3*j(m). Let t(r) be the second derivative of r**4\/6 - 12*r. Give b(t(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 - -34. Let t be 27\/6*(-24)\/x. Solve 0 = 6*w - 3*w - 3*k + t, -4*k = 3*w - 23 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1927\/603 - 229\/67. Let r = 1.5 - 2. Which is the biggest value? (a) s (b) 2 (c) -3\/5 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*z + 14. Calculate the smallest common multiple of -5 - (4*-6 + -3) and z.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 7*h + 12. Let u be x(2). Let a(v) = u*v - 3*v + 8*v. Let m(y) = -2*y**2. Calculate a(m(q)).\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 5.382, 35.5 in ascending order.\nAnswer: 0, 4, 5.382, 35.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 955734608, 955734607, 955734606?\n\"Answer: -o + 955734609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 96139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-2\/3)*l))**(3\/8)*((l\/(l*l**3*l*l)*l)\/l)\/l**(-4) assuming l is positive.\nAnswer: l**(-9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11217339?\nAnswer: 3, 7, 59351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -971 - -1140. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112869579?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2899 + -2899.3. Which is the nearest to -2\/7? (a) 9\/2 (b) -0.02 (c) -3\/5 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35211.\nAnswer: 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 321 divide 398361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-9)\/4)\/(2\/(-40))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1257 - -1777. Let m(b) = 2*b**2 - 4*b - 2. Let t be m(-1). Suppose -t*j - 4*j = -a. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110010001111 + 10010011?\nAnswer: -1101111111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-226)\/(-565))\/(1*(-42)\/10).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 0*k**5 + 1\/7*k**7 + 0*k**6 - k**3 + 0*k + 0 + 0*k**4 + 35*k**2. Find the first derivative of r(h) wrt h.\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/28)\/((u\/u**(-9))\/u))\/((((u\/u**(-8)*u)\/u*u)\/u)\/u)**(-10\/13) assuming u is positive.\nAnswer: u**(-1075\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 o, and 1 y when three letters picked without replacement from oooooqqooqoqoqooyqo?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.0162677+-0.5\nAnswer: -0.5162677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.02 (b) 120 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 5) + (3 - 2). Let j be (-2 + l)*1*-1. Which is smaller: 2 or j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 + -2)*(-5 + 2). Let w = 13 + n. What is the remainder when w is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 31?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22653 and -273.\nAnswer: 6184269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1566*x + 144659 - 71057 = 0 for x.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**2 + 54*a - 693 = 0. Calculate a.\nAnswer: 21, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (98\/188 + 643\/(-30221))*178\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -0*l - 444. Suppose -17 + l = 3*y. Calculate the highest common divisor of 38 and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 684999759?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 80 + -54. Let x = 9155\/6 + -1547. Calculate the common denominator of x and -2 + (w\/(-24))\/1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 0*d**2 + 0*d**3 + 2\/15*d**6 + 0*d**5 + 30*d + 0*d**4 + 2\/21*d**7 + 0. Factor v(i).\nAnswer: 4*i**4*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k - 4. Suppose -2*w - 3*w + 4*h = 75, 0 = -4*w - 2*h - 34. Let u = 15 + w. Give f(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s - 90 = 19*s. Let i be ((-130)\/(-15))\/((-4)\/s). Suppose 11 = -3*a + i. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 6*f**2 + 20*f + 53. Calculate u(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(77\/(-22) - -7) + 3\/(-3)*-7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17461 + 17465. Put -4, 5, k, -1, 2\/97 in decreasing order.\nAnswer: 5, k, 2\/97, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 10. Differentiate 1 - h*l**3 - l + l + 2 with respect to l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -1\/2*v**4 + 0*v**3 - 1\/10*v**7 - 3\/8*v**6 + 5*v**2 + 2*v - 13\/20*v**5 + 0 - 1\/112*v**8. Factor i(n).\nAnswer: -3*n*(n + 1)**3*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12310210313 (base 4) to base 11.\nAnswer: -1011570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -20*k**5 + 3816*k**4 - 163516*k**3 - 1776856*k**2 - 3148800*k - 560000 = 0.\nAnswer: -7, -2, -1\/5, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqddqdq. Give prob of picking 3 q.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3809*t + 53309. Determine r(-14).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o - o)*(-10*o**4 - 9*o + 9*o + (0*o**3 + 0*o**3 - 3*o**3)*(2*o + 0*o - o)).\nAnswer: 13*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 12:00 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 8:56 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1162)\/(-252)*-3 - (-20 - -7).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 3 - 3)*(7*p**2 + 19 - 19 + (2*p**2 + p**2 - 4*p**2)*(-1 + 4 - 1)).\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1477*i + 4*i**2 + 6*i**2 - 3*i**2 - 1504*i to the form g + l*i + y*i**2 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**3\/6 - 10*a - 187. Let h(k) = 2*k**2 + k + 7. Calculate -h(t) + 2*x(t).\nAnswer: -2*t**2 - 3*t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -87*r + 98*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -3, -0.18?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45345*i**3 + 77997*i**2.\nAnswer: 272070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of q**4\/4 - 2*q**3 - 3*q**2\/2 - 1. Let i be r(6). Let v = -6 - i. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19553 - 12601. Let u = s - 961. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*q - 9, -3*c - 5*q - 8 = -61. Let n = 43\/4 - c. Let b = 4 - 0. Put -1\/2, b, n in decreasing order.\nAnswer: b, n, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-77)\/(-924)*0\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 6 = -30. Let r(j) be the first derivative of 7*j - 3\/2*j**2 - 1\/4*j**4 + 2*j**3 - 1. Determine r(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*c - 2*s + 735, 5*c + 5*s = 3665. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 16) to base 12.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + sqrt(833) + ((sqrt(833) + 0 - sqrt(833)) + -2)**2)*-1 + 4.\nAnswer: -14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 587708659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4250064698?\nAnswer: 2, 11, 193184759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -5. Let k be w - 4*6\/(-12). Let y(r) = 3 + 3 - r - 5. Determine y(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3001 + 3?\nAnswer: -2332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**4 + 841*y**3\/2 - 203229*y**2\/2 - 51122*y + 50912 = 0.\nAnswer: -592, -1, 1\/2, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03777 rounded to 3 dps?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 - -52. Let m be 22\/8 + (-7)\/(-168)*u. Calculate the greatest common factor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286081477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -8, 2\/11, -2\/7, 1\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.0701 * 0.4\nAnswer: 0.02804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.52 + 7.11. Let g = 81 - 80.59. Let k = g + h. Which is the biggest value? (a) -2\/7 (b) -1\/2 (c) 2\/9 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 7*y**2\/2 - 36*y + 1. Let j = -209 + 234. List the prime factors of g(j).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/6, -50, -3\/4, -15, -5?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 6 - 24 = 0. Let x = v + -3. Let w(z) = 2*z - 3. What are the prime factors of w(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -109*t**5\/60 + 14*t**2. Let c(l) = 43. Let g(r) = 3*r + 129. Let n(i) = 3*c(i) - g(i). Calculate n(y(m)).\nAnswer: 327*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-8) - 1148\/3696\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46 * -704.\nAnswer: 32384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n - 3 = -63. Solve 0 = -3*w + d - 17, -1 - 5 = n*w + 2*d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(102) + sqrt(102)*2*-1 + sqrt(102) + sqrt(102)))\/(sqrt(384)*2 - (sqrt(384) + sqrt(384) + 2*sqrt(384))).\nAnswer: sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -9*m - 108. Let h be f(-12). What is the second biggest value in 1\/7, h, -0.02?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -16*f + 84. Let q = -93 + 86. What is the units digit of u(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2291*s**2 - 13*s + 34. What is the thousands digit of n(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72 + 72. Suppose -12*u + 2 + 958 = d. What is the greatest common factor of u and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.7956 * -0.25\nAnswer: -0.4489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*b - 116 = -35*b - 2*d, 3*b - 348 = -2*d. What is the third derivative of -i**4 - 28*i**4 - 109*i**2 - 249*i**4 - b*i**2 wrt i?\nAnswer: -6672*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 318, -8, 0, 5 in descending order.\nAnswer: 318, 5, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 36\/48 + (-582)\/8. Let l = 55 + t. Let v(r) = -r**2 - 19*r - 29. Let x be v(l). Put x, -4, 0 in decreasing order.\nAnswer: x, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7349 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) -1.6 (c) 10 (d) 5 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 3*h + 64, -943 = 56*i - 4*h - 1079 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + -2. Let b = 206 + -204. Put 1\/8, a, b in descending order.\nAnswer: b, 1\/8, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53 + 53 - 14*z)*(2*z**3 - 3 + 3).\nAnswer: -28*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 287?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33387 is divided by 490.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49518, 3, -5 in decreasing order.\nAnswer: 49518, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282100697.\nAnswer: 191, 1476967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o**3*v + 3643663*o**3 + 24990*o**2*v - o*v + 17*v wrt v.\nAnswer: 2*o**3 + 24990*o**2 - o + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/93 and -4\/31?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -30*t**2 - 21*t + 15. Let r(g) = 6*g**2 + 4*g - 3. Let w(k) = -4*l(k) - 21*r(k). What is the first derivative of w(i) wrt i?\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -3*r**7\/980 - r**6\/84 - r**5\/60 - r**4\/84 + 2*r**3\/3 + 2. Let g(j) be the third derivative of z(j). Factor g(l).\nAnswer: -2*(l + 1)*(3*l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 658278*s**4 - 646225*s?\nAnswer: 7899336*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - i - 35 = -5*v, 23 = v + 3*i. Suppose 5*h - j - 50 = -5*j, 2*j = -5*h + 40. Let b = v - h. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 > -8\/90651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-18)*(-3)\/3*-12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 322 and 475489.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 20*g - 2*g**2 - 35*g + 15*g. Let d(f) be the first derivative of 0*f - 21 + 5\/2*f**2. What is q(d(i))?\nAnswer: -50*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1171643 or 1171644?\nAnswer: 1171644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-4 + 5)*(1 - 840). Is f\/(((-2)\/35)\/((-4)\/10)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 6*d**2 + 63*d + 239. Let t be z(-10). Solve t = 2*s + f, 7*s - 3*s - 2*f = -2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 102.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3395659 to the power of 1\/2, to the nearest integer?\nAnswer: 1843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0265988167 to four decimal places.\nAnswer: -0.0266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -10517*k - 777. What is the ten thousands digit of m(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**6\/540 + 11*j**5\/180 - 3*j**3 - 29. Let i(b) be the third derivative of a(b). Factor i(f).\nAnswer: 2*f*(f + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/3*(-6)\/(-8). Let q be (-20680)\/54 + (-21)\/189. Let g = q + 383. Which is the third smallest value? (a) g (b) d (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 367599*t**3 + 370795 wrt t?\nAnswer: 1102797*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4206*z - 5. Let p be x(1). Let m = 33605\/8 + p. Calculate the common denominator of -10\/11 and m.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {l: 2, z: 5, w: 2}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 25.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 9. Let z be r(8). Is 5\/4 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j - 2*j - 5*j + 14 + 5*j - 19 + 7*j**3 - j**2 as k*j**3 + r*j**2 + p + w*j and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(190\/(-30))*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 32327 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2670 divided by -534\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/3)\/(k\/((k**(-14)*k)\/k))*(k\/(k\/(k*k*k*k**4)))**32)**(-1\/60) assuming k is positive.\nAnswer: k**(-629\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 - 3)*(6*h - 2*h + 6*h + (-2 + 3 - 2)*(-5*h + 3*h + h) + 0*h + 0*h + h - 2*h + 4 - 4) to x + r*h and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m - 4. Let j be b(-4). Suppose -2*h + 0 = 4*v - j, 0 = -2*v. Suppose 3*i + h*i = 845. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1507, 28, 0 in ascending order.\nAnswer: 0, 28, 1507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3658*h - 3655*h = 4*u + 34, -h = -17*u + 20 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*k**4 + 1 + 3*k - k - 17*k**4 - 287*k**3 + 285*k**3 to the form d + z*k**4 + p*k + v*k**3 + j*k**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-1 - -1) - (-36 - (-60 - -4)) - 7?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by -32229.\nAnswer: 29\/32229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1378880899?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -3291?\nAnswer: 3292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 87d933 - -1?\nAnswer: 87d934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51889.2 - -51889. Suppose -3*t + 3*o + 0*o = -12, -4*o = -12. What is the nearest to 1\/2 in t, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 535*k - 3 = 538*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41848619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428027983.\nAnswer: 428027983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 2*u. Let a be n(2). Suppose a = p + 4*q - 0 - 2, 3*p = 3*q + 51. Suppose 7*f = 47 + 100. Calculate the greatest common divisor of f and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - 8892249.\nAnswer: -8892255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 11 + 95 = -48 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -23*x**2. Let w(k) = -23912*k**2. Determine j(w(p)).\nAnswer: -13151026112*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m - 6. Let v be g(-5). Suppose 2 = 5*s - 7*s. Which is the closest to v? (a) -4 (b) 0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/5 + 36*x**2 + 696*x\/5 + 688\/5.\nAnswer: 2*(x + 2)**2*(x + 86)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0*h - 4*s + 4, -4*s = 0. Let w be h\/((-180)\/(-2)) + (-2)\/10. Sort -3, w, -5, -1\/2 in increasing order.\nAnswer: -5, -3, -1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/3 (b) 0.1 (c) 5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -143*k**6\/60 - k**5\/12 - 47*k**4\/24 + 321*k**2. What is the third derivative of d(y) wrt y?\nAnswer: -1716","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -7 + (10 + 11 - 11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147863303 is divided by 2549367.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1703.564 milligrams in micrograms?\nAnswer: 1703564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2418*z**2 + 292. Let f(b) = -6*b. Give o(f(g)).\nAnswer: 87048*g**2 + 292","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/10 in 2\/7, 8, 4, 7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 33. Suppose -36 = -5*n - 3*q - 1, -s*n - 17 = -5*q. Does 2\/9 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31819, -31814, -31811, -31810, -31811?\nAnswer: -31814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2585 and 202147.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-2))\/((-9)\/72). Suppose -o*s - v = -10, 6 = s + 4*v - 2*v. Suppose -b + 1145 = 2*z - s*b, -2*z + 2*b + 1148 = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m - 2 - 3*m + 0*m)*(3 - 2 - 2)*(-3 + 2 - 1).\nAnswer: 6*m - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/315 and 584\/(-6132) - 634\/8190.\nAnswer: 4095","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**6\/120 - s**5\/10 + 5*s**4\/24 - s**3\/6 - 2*s**2. Let a be q(-7). Solve 4*u - 3 - a = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 15, a: 3}. What is prob of picking 2 z?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 9990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 5*f + 18 = 0, -4*g - 2*f + 16 = 20 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -86 + 122. Suppose i = 8*c + 12. What are the prime factors of ((852\/10)\/c)\/((-2)\/(-5))?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33075085 divided by -3?\nAnswer: 33075085\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6 = 4*a, -5*a + l + 3 = -1. Suppose -2*h = n - 1819 + a, -4*n = 4*h - 3644. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27371 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92954.\nAnswer: 2, 46477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165790822.\nAnswer: 2, 71, 79, 14779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 91 (b) -2\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 10. Let o = -0.22 - 0.28. Which is the closest to j? (a) o (b) 5 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/18*1053008\/83762?\nAnswer: -44\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4*z = 5*f + 3, 3*f = z + 5. Solve -16*k - f = -15*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -2, 28 in descending order.\nAnswer: 28, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 16*s - 53. Give l(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 580\/2175 - 406\/(-40) and -151\/16152.\nAnswer: 16152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -1 - (3 + -1). Let r(i) = 47*i + 13. Let k(n) = -24*n - 7. Let v(f) = -11*k(f) - 6*r(f). Calculate the remainder when v(l) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -601*r + 1192*r - 601*r. Let s(l) = -6*l. Calculate 5*d(f) - 10*s(f).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 333510120 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 6 = 2*f. Let p(m) = m**3 + 3*m**2 + 4. Let v be p(f). Suppose 4*g + v*x = 240012, 3*x - 14 = -5. Round g to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -31863, -31872, -31885, -31902, -31923?\n\"Answer: -2*g**2 - 3*g - 31858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1773659 is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20939.19 and 0.1.\nAnswer: 20939.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = r - 14. What is the remainder when r is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 10:02 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -12 - 4 - 5 + 1 + x**3. Let z(q) = -9*q**2. Determine r(z(p)).\nAnswer: 243*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 57696292 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.543 - 0.51. Let h = -1.353 + o. Let u = 1.5 + h. Round u to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 + 0 + -12 - 10) + (-7 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**3 - 5*u**3 + 1 - 291*u**2 + 145*u**2 - 1 + 134*u**2.\nAnswer: -2*u**3 - 12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 205542313 (base 6) to base 16\nAnswer: 377f85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 66 = 70. Let m be a*1\/(-4) + (-2)\/4. Suppose 0 = 5*v - c - 97, 0 = m*v - 5*v + 4*c - 72. Calculate the highest common factor of v and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-129)\/12 - -11) + (-10)\/8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*v - 872 - 152 for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-416)\/(-10) + (-4)\/(-10). Suppose -46*r + t*r + 1008 = 0. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**5\/60 - 5*o**4\/12 - 3*o**3\/2 - 2*o**2. Let l be q(-9). Suppose -7*k + 4*k = l. Solve -i = -k*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g - 30. Calculate o(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252296 and 15510.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 9:03 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2*n)**43\/(n**(1\/3)\/n)**(17\/6) assuming n is positive.\nAnswer: n**(1178\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -423 + 451. Calculate the highest common factor of 14 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = j + 4*g + 5503, 0 = -2*j + 5*g - 10830. Let d = j - -8134. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4472a1 (base 12) to base 10\nAnswer: -1090777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-1)\/(-4))\/1)\/((-2)\/(-16)). Factor 1\/2*c**3 - c + 1\/2*c**a + 0.\nAnswer: c*(c - 1)*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -878317 + 224.783\nAnswer: -878092.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**2 + 13*f + 3*f**2 + 8*f**2 + 3*f**2 wrt f.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1517611836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(405)\/(-2*sqrt(63)\/sqrt(7)))**2.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (6 + -15 + -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3813766 to the power of 1\/2, to the nearest integer?\nAnswer: 1953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25608 smaller than 1459667\/57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 8*f - 754. Let z(i) = -14*i + 2. Let j be z(2). Let u = j + 47. What is the remainder when f is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 10*r - 1358 = 0. Let a = r - 93. Suppose a*c + 4*m - 28 = 0, -4*c - m = 1 - 20. Solve c*t - 6 = 14 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 2*c = -2*c - 16, -4*m - 2*c = -18 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12166\/13, 2\/5, 218?\nAnswer: 218","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -16*t**2 + 448*t - 138. What is p(28)?\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 26, -8, 2\/3, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 537782 and 642?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*2*10\/(-80). Let b = -69\/434 + 1\/62. Put b, x, -1\/5 in increasing order.\nAnswer: x, -1\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**3 - 6*p**2 + 27*p + 140 = 0.\nAnswer: -7, -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/21922304 and -41\/385024?\nAnswer: 350756864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 9:37 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*k - 2*x + 6, x - 2 = 0. Let r be 84\/(-21) - (-10)\/k. Let p(t) = -15*t - 187. Let v be p(-12). Is v greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.07 + 5.07. Let g = 9 - k. Suppose -2*a + z = 13, 3*a + 2*z - 8 = -2*z. What is the closest to 26 in a, g, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - -4) + 3 + -12. Let c be 50 - (-1 - b) - -2. Suppose 5*n = 1 + c. Solve -h + n = -5*l, 3*h = 3*l + 7 - 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 - 2*k - 2. Determine n(5).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q. Let c(b) = -b**2 - 10*b + 27. Let y(t) = c(t) - 4*k(t). Let h be y(-19). Solve -4*m - j + h = 0, -3 = m + 5*j - 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d - 1. Let f be u(-11). Let q(z) = z**2 - 10*z + 5. Let n be q(f). Suppose -w = -2*y + 2*w + 366, -n*y = -w - 928. Does 18 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**11\/l)**(-39))**(1\/23))**25 assuming l is positive.\nAnswer: l**(-10725\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-114)*(-7 - (-135)\/15)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcf when three letters picked without replacement from {i: 1, f: 3, c: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266996*t**3 - 368909*t**3 + 101911*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10332*j - 19271*j + 10873*j)*(0*j + 2*j + 0*j).\nAnswer: 3868*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0\/c)\/((c**0*c)\/c*c*c)*(c*c**(2\/7)*c*c)\/(c*c\/(c*(c\/c**(-1))\/c*c*c)) assuming c is positive.\nAnswer: c**(16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 174 by 74.\nAnswer: 87\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-312)\/884 - 40\/(-595))\/((-2)\/14). Suppose v + 4*v = -5*a + 20, -3*v = 5*a - 12. Solve -5*h = -a*m - m + 27, f*m = 2*h + 14 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0, -0.1, -1\/5, 0.057, 145?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -3, -4, -5 in ascending order.\nAnswer: -5, -4, -3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 16 = r, -20 = -0*r - 5*r. Suppose 2*i - m*f = 2, -5*f + 1 = -5*i - 9. Let g = -4 - i. Is -1\/4 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -765.00474 + 765. What is l rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8\/103 (b) 3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 25*k**2 + 2*k + 50. Determine o(-25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 255582, 255425, 255248, 255051, 254834?\nAnswer: 254597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17870 by 1.\nAnswer: -17870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - 3*a - 8 - 11*a + 15*a.\nAnswer: -2*a - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1551 + -1549. Let p(z) = -3*z + 3. Let v(n) = n - 2. Give j*p(a) + 5*v(a).\nAnswer: -a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15674360 divided by -22\nAnswer: -7837180\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/39624 and -151\/264?\nAnswer: 435864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.082515 to three dps.\nAnswer: 0.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 597 + -596. Let f be 4 + x - -5 - (-3 - -5). Solve 0 = d - f + 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*i + 4 + 3 + 10 + 5 - 26.\nAnswer: 17*i - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 13*p - 6532, 19*p - 12 = 22*p. Which is bigger: 2162 or o?\nAnswer: 2162","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 2*r**2 + 5*r - 5. Let w be n(2). Let l = -2 - -3. Solve -l + 6 = -w*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*k**3 + 1213*k**3 - 4*k - 306*k**3 - 309*k**3 - 293*k**3 + 43.\nAnswer: -3*k**3 - 4*k + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y**2 - y - 7. Let b(a) = a**2 + 2. Let x(v) = -3*b(v) - r(v). What is x(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65103.\nAnswer: 3, 21701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76950 and 2117550.\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a litre in millilitres?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -756 by -27.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**6 + 204250348*o**4 + 1136616*o**2 - 47*o wrt o.\nAnswer: -120*o**3 + 4902008352*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12955988 by -4.\nAnswer: -3238997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1908.30647 - 0.39353. Round m to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012001010 (base 3) in base 6?\nAnswer: -300050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -572, -1\/5, 1750, -2\/3.\nAnswer: -572, -2\/3, -1\/5, 1750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5438 + 5456.368. Round w to one dp.\nAnswer: 18.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 740\/39 + -69\/13. Let r = -172087933\/79592 - -10\/9949. Let m = -2174 - r. What is the common denominator of m and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r**12*r))\/r)\/(r**(14\/3)\/r))**(17\/2) assuming r is positive.\nAnswer: r**(-901\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 750.76524 to the nearest ten.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e782 + 14?\nAnswer: -1e76e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42 + 38)\/(4\/10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 37, 96, 255, 562, 1065, 1812?\n\"Answer: 8*f**3 + 2*f**2 - 3*f + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2485.579 tonnes in milligrams?\nAnswer: 2485579000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9473621 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -23591625310 rounded to the nearest 1000000?\nAnswer: -23592000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.45 + -14.95. Let w = 96\/13 - 807\/104. Which is the third biggest value? (a) -0.4 (b) w (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2. Let r(u) = -6*u**3 - 18*u**2 - 2*u + 7. Let z(v) = -6*j(v) + r(v). Let n be z(-6). Let s = n - 382. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47 - 8457.0749?\nAnswer: -8456.6049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 1940.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - -2 - 3 - 0. Let y be -2*(x - (-50)\/4). Let u be (3\/18)\/(y\/(-9)). Is -1 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 2*h + 3. Let i be l(-4). Let y be (-9)\/(-6) + i\/2. Let n(w) = -4 + w - 2 + w. Let a(b) = -1. Determine y*n(f) + 4*a(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffdvtftvopvvvv. Give prob of picking 1 f, 1 p, and 1 d.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -20, -5, -1 in ascending order.\nAnswer: -20, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 6*q = -0*q, -9*w + 13*w + 4 = -5*q for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = p + 3*v + 5, 214*v - 50 = 224*v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9, 5, -1, 6, 24, 0 in decreasing order.\nAnswer: 24, 6, 5, 2, 0, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19.9 + -3.9. Let m = k + -15.5. What is the second biggest value in m, 6\/7, 4?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 207 in increasing order.\nAnswer: 2, 4, 207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 + 6*b + 5. Let k be 1\/((-20)\/25 + 1). Determine w(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 8*g + 15. Let r be t(6). Solve -5*h - r*s = 11, 2*s - s + 2 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5485182*f**6 - f**2 + 60964373*f?\nAnswer: 658221840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 47 = -5*u + z, 2 = z. Let c be (3 + -24)*4\/u. Calculate the greatest common divisor of 63 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is cc + 1dc49b?\nAnswer: 1dc578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127, 251, 371, 487, 599, 707, 811?\nAnswer: 911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20379 is divided by 2341?\nAnswer: 1651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -185*u + 1499 wrt u.\nAnswer: -185","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 6974690\nAnswer: 34873450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -59\/2*l**5 + 53\/2*l**3 + 3*l + 65\/2*l**4 + 0 - 65\/2*l**2 = 0.\nAnswer: -1, 0, 6\/59, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3920 and 55930?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 19032.\nAnswer: 19032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476114422.\nAnswer: 2, 7, 34008173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5591880 divided by 36?\nAnswer: 155330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d - 67. Let b(m) = -m**2. Determine z(b(p)).\nAnswer: -2*p**2 - 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgbrbvsjrbv. Give prob of sequence rsv.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -18\/11 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8\/126 + (-25985189)\/214641\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c**2 + 9*c**2 + 10*c**2)*(-c**2 + c - c).\nAnswer: -25*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 11 + (0 - -2) + -15.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 - 0.3. Let v(l) = -2*l - 13. Let o be v(-9). Let n = 2 - 1.9. Which is the nearest to n? (a) -1\/5 (b) s (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -p**3\/3 + 11*p**2\/2 + 16*p - 1. Suppose -4*h = 5*s - 56, 39 = 3*s - 0*s - 3*h. Let d be z(s). Solve d*x + 3 = -1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -617 (b) 4 (c) -131 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.380997811625 less than 3.67?\nAnswer: 4.050997811625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*j - 615, 5*v - 54*j = -51*j - 1017. Calculate the common denominator of (-8)\/(-40)*v\/(-9) and -149\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (1 + -8 + 7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.79 - 0.21. Suppose 0 = -2*d + 5*x + 12, 2*d - x = -2*x. What is the nearest to d in 0, f, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times -6.40071\nAnswer: 0.3840426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1958 - -2879. Is l a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5451936 by 784.\nAnswer: 6954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 21 = -2*m, -5*m + 29*g - 31*g = 0. Let s(a) = -9*a + m*a - 2*a + 8*a. Let w(i) = -4*i + 1. Let q be w(1). Calculate s(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*r - 400, -4*r = 2*l - 98 - 114. Suppose 4*u - 313 = 5*o, o - 482 = -5*u - l. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2771*g - 2028*g - 2811*g + 7603*g.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32857\/89 at least 370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**4\/2 + 51*d**3 - 1848*d**2 + 6709*d - 9825\/2 = 0 for d.\nAnswer: -131, 1, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 107 (base 12) to base 3\nAnswer: 12121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/32*(-216)\/(-81)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 9*k. Let o(v) = -45*v. Let b(q) = -5*q. Let g(c) = 55*b(c) - 6*o(c). Calculate h(g(i)).\nAnswer: -45*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 4. Let y = f + 4. Suppose -3*n + 95 = -y*n. Calculate the highest common divisor of 38 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 - -57.58. Let o = 0.42 + h. Let q = -0.2 - -0.1. Put 0, q, o in increasing order.\nAnswer: q, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**4\/21 - 24*v**3\/7 - 64*v**2 + 221*v. Factor g(h).\nAnswer: -4*(h + 8)*(h + 28)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12797 (base 10) to base 2.\nAnswer: 11000111111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -24, -49, -72, -93, -112, -129?\n\"Answer: a**2 - 28*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 721 a factor of 10093279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 521 - 521 + 226381*c.\nAnswer: 226381*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*d = 19, -2*y + 7*d = 2*d - 11. Suppose -z = f - y*z - 3383, 4*f - 13553 = z. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6.304169t?\nAnswer: 6304169000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, 1\/208, -7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 993 is divided by 154.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) - (sqrt(1573) + sqrt(1573)*-2)*6) + 2*(sqrt(1573) + -1 + sqrt(1573)) + ((0 + sqrt(1573))*5 + sqrt(1573) - (sqrt(1573)*2 + 2)) + 1)**2.\nAnswer: -990*sqrt(13) + 353934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3826134 = -2376*s + 2459*s. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -1. Let a(g) = 8*g - 2. What is -a(d) + 2*x(d)?\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 + -2 + -1 + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 20*g**2 - 38*g + 17. Calculate p(18).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 365578.14 plus -4?\nAnswer: 365574.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((35\/180)\/(238\/(-102)))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 4 + 36 = 0. Let q(l) = 6*l**2 - 5. Let t(o) = o**2 - 1. Determine j*t(h) - q(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119539.\nAnswer: 7, 17077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (-14 + 7) - -25?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + -2*(1 + sqrt(68)) + ((sqrt(68)*1 + sqrt(68))*-2 - sqrt(68)))**2 - (1 + -1*sqrt(68) + (sqrt(68) + -2*sqrt(68))**2*6).\nAnswer: 50*sqrt(17) + 2043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 963327.98 times -4?\nAnswer: -3853311.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**4\/9 - 28*v**3\/9 + 16*v**2\/3 + 28*v - 66 = 0. What is v?\nAnswer: -3, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17528, -21, 5, -1 in descending order.\nAnswer: 17528, 5, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) -22 (c) -2\/17 (d) -121\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**2 - 464*h - 3734. What is t(-8)?\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15917421263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*y - w, -5*w + 4 + 6 = 0. Let g(r) = 12*r**2 - 8*r + 14. Does 33 divide g(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -269 - -267. What is the closest to 2 in 0.1, y, -1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52.9944 + -0.4656. What is z rounded to zero decimal places?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - i + 18762, -s - 43*i + 4697 = -46*i. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -15*j**2 + 14*j - 21. Let w(q) = -5*q**2 + 5*q - 6. Determine 3*u(t) - 8*w(t).\nAnswer: -5*t**2 + 2*t - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -195345 + 195345 - 895*u to the form t + d*u and give d.\nAnswer: -895","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 - 6. Let g = x - -5.6. Let l = 6 - 17. Sort -2\/7, l, g in descending order.\nAnswer: g, -2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 + -37 + (-12 - -3) + (1 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1.65406 (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1329 - -1332. Calculate the lowest common multiple of o and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26424 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -10057*z**6\/30 - 3*z**4\/4 - 70*z**3\/3 + 86*z + 6. Find the third derivative of l(m) wrt m.\nAnswer: -241368*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -466883*v**3 - 283936*v**3 + 188809*v**3.\nAnswer: -562010*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2177 + 96.8823. What is m rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -0.03, -101\/39, 1\/6, 1\/3, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1162, -2298, -3436, -4576, -5718, -6862?\n\"Answer: -m**2 - 1133*m - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*l + 4197169 - 4210065 = -65*l for l.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/51 + -83\/102. What is the nearest to -1 in -3.7, c, 2\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6925785.\nAnswer: 3, 5, 19, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76\/50*1986425\/22702?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -629595 (base 11) to base 8.\nAnswer: -3661224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v - 3. Let c(a) = -12*a - 10. What is 7*b(w) - 2*c(w)?\nAnswer: -4*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 1309.577 and 0.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -q**4\/4 - q**3 + 2*q**2 + 2*q + 9. Let u be m(-4). Sort 4, u, 0.\nAnswer: 0, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 758615 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + (-14 - (-29 - (30 + 6))).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 216, 204, 184, 156?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1214022043 + -11?\nAnswer: -1214022104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -88*a - 11. Is f(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 5*o**2 + 3*o - 6. Let p be t(5). Suppose -10*s - 2244 = -44*s. Let x = s + p. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b + 0*b - 2*b + (-1 + 0 + 2)*(-2 + 2*b + 2) + 0 - b + 0 - 1.\nAnswer: -5*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -201002201 (base 3) to base 9\nAnswer: -21081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00104044 rounded to five decimal places?\nAnswer: -0.00104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 359*u + 361*u - 1081*u + 362*u - 1. Let c(p) = -4*p. Give c(a) + 2*k(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 490273065, 490273064, 490273063, 490273062, 490273061, 490273060?\n\"Answer: -o + 490273066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.062\nAnswer: -0.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 103296913 to the power of 1\/3, to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -328, -821, -17 in descending order.\nAnswer: -17, -328, -821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 515358 to the power of 1\/2, to the nearest integer?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-165)\/(-550) - (2 - (-3756)\/40). Which is bigger: k or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 940294 divided by -940294?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 724*s + 86*s + 7*s + (-2*s + s - s)*(-1 + 3 - 6).\nAnswer: 825*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 795145 and 169?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*k**3 - 6913*k**2 + 3460*k**2 + 127*k + 512 + 3453*k**2 with respect to k.\nAnswer: 9*k**2 + 127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18140 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 412810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - (34 - (-3 - 3))) + 0 + -16?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16336349 and -16?\nAnswer: 16336365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n + 3. Let f(u) = 15*u + 20. What is -3*f(b) + 20*h(b)?\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 7125 and 7126 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 141 + 147. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 4*y + 69 + 59, l - 5*y + 32 = 0. Let s = 5394\/5 - 97667\/90. What is the common denominator of -3 + 4 - 114\/l and s?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/550 and 14\/33.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6634424 and 391528.\nAnswer: 3592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6*b = -10*b - 22, 4*b + 26 = -5*k. Find the common denominator of (14\/8 + k)*15308\/774 and 11\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/(-2673)*9*(-6)\/20?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8566505417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -12. Suppose b*o = -o. Sort 1, o, -6.\nAnswer: -6, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -553 (b) -1644 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28858197.\nAnswer: 3, 17, 379, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22100120 + -1002010?\nAnswer: 21021110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -1266970.\nAnswer: 3\/633485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 225 times -0.061997\nAnswer: -13.949325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2050432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**5\/2 + 10*b**4 + 515*b**3\/2 + 205*b**2 - 1022*b - 980 = 0?\nAnswer: -14, -2, -1, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23142304330 - 1?\nAnswer: 23142304325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -1 - (36 + 4 + -32)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 19*b - 1 = 15*b, 2*o - 16 = 5*b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-32)\/112)\/(2\/(-7)). Let w(l) = -13*l**3 + 2*l - 1. What is w(x)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 94887670 and 344.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**3 - 4*s**2 - 26*s - 63. Let f be r(-3). Solve -254*n = -242*n + f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1*5)\/((-1)\/1). Let u = -26 - -29. Suppose -s - 11 = -u*v + 26, -v + 13 = -s. Solve -2*d = 0, -v - 13 = n*t + d for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 385677 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*w + 2240 = -5*u, 3*w - u = 3360. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 63 and 2.9215?\nAnswer: 184.0545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.543476 litres?\nAnswer: 2543.476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 2*y + 6. Is 11 a factor of (y\/3)\/(588\/(-297) - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 442?\nAnswer: 442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24240 and 5856384?\nAnswer: 29281920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 8285, -11, -4 in ascending order.\nAnswer: -11, -4, 8285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*x + 61040 - 24107 + 25508. Calculate the remainder when x is divided by 732.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5918 or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*y**4 - 4002016*y**3 - 21500946*y**2 wrt y.\nAnswer: -168*y - 24012096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 3*i**2 + i - 2. Let k be g(-4). Let h be (3\/k)\/(6\/(-8)). What is the nearest to -1\/4 in h, -5, 3\/8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a3 - -2?\nAnswer: -a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -52\/63?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1999906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68 + -56. Let o(y) = -14*y**3 - 8 - 20*y**2 + 27*y**3 - 3 - 3*y - c*y**3. Is o(21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 145 in 1\/4, 1\/2, -1\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p + 3 = 0. Suppose 14 = 9*f - 40. Let l be (-3)\/f + (0 - 56\/(-16)). What is the greatest common divisor of l and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 24 = -6*p. What is the second derivative of -16*g + 6 - 10 - 13*g**p + 4 wrt g?\nAnswer: -78*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 less than or equal to 196\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h - 1. Let m = 4 + 10. Let i(c) = -7*c - 1. Let l(o) = m*q(o) - 6*i(o). Let j(n) = -2 - 6 + 3 - 5*n - 4*n. Give -8*j(s) + 5*l(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 x, 1 j, and 1 h when four letters picked without replacement from exwhzhwwwzhheej?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 49003865 + -5?\nAnswer: 49003860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -691314\nAnswer: 7\/691314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5775\/75)\/(-77)*68?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(-60))\/(115\/40*(-22)\/11)?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - (-10)\/2) + -6. Suppose n - 8 = -4*g, -4*n + 4 = 3*g - g. Sort m, 3, 1, g in decreasing order.\nAnswer: 3, g, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33\/369235 - -28016443699\/4430820. Let x = 6318 - n. Calculate the common denominator of -23\/8 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*c - 403 = -2*y, 5*c + 16*y + 53 = 17*y for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyzpz. Give prob of sequence pz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1981\/18 + 110. Which is bigger: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8.19 (b) 1\/4 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 170, 167, 164, 161, 158?\n\"Answer: -3*o + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(-3) + (-860)\/(-15) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 170 - 1192\/7. Let h = 1\/12 - -1\/12. Sort -3, h, y in increasing order.\nAnswer: -3, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = -i, -5*x = -2*i - 2. Suppose -x*l + l = 0. Suppose 0 = a - t - l*t - 19, -5*a + 86 = -2*t. Calculate the highest common divisor of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, y: 6, u: 4, z: 1, k: 3, n: 1}. What is prob of picking 1 k and 2 y?\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2. Let k(m) be the first derivative of -3*m**2\/2 - 3. Determine k(i(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10769?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11850 (b) -323 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25677 - 10173 = -929*x + 273*x - 22544 for x.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 3:21 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29643, 34186, 38729?\nAnswer: 43272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -9\/95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 562896?\nAnswer: 2, 3, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(960\/20))\/(((-12)\/(-99))\/4).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(500))*4 - (sqrt(500) + (sqrt(500) + 1)*-2))**2.\nAnswer: 1000*sqrt(5) + 12600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/2038 and 143\/562488.\nAnswer: 562488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 6\/7, -0.147, -13\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000254 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75802 is divided by 1904.\nAnswer: 1546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 8\/6)\/((-7)\/(-315)). Solve 21 = r + d for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - p**5 + (2*p**4 - p**4 - 2*p**4)*(6*p - 4*p + 0*p) - 4*p**4 + 4*p**4 - 2*p**5 - 2948*p**3 - p**5 + 8*p**2 - 11343*p**4 + 5597*p**4 + 5746*p**4.\nAnswer: -6*p**5 - 2948*p**3 + 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-10))\/((-1836)\/71235). Let o = w - -1\/51. Find the common denominator of -7\/6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(7\/(28\/(-6))). Let y(g) = 4*g**2 + 2. Let d(r) = 6*r - 17*r**2 + 39*r - 12 + 3 - 46*r. Calculate t*d(a) - 9*y(a).\nAnswer: -2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12114 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -52645\nAnswer: 7\/52645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 4, 436, 1 in increasing order.\nAnswer: -1, 0, 1, 4, 436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12880838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -201*a + 9. Let w(d) = -201*d + 11. Give -5*f(u) + 4*w(u).\nAnswer: 201*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24433498.\nAnswer: 2, 23, 531163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5, 27, 53, 89, 141?\n\"Answer: o**3 - 4*o**2 + 27*o - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1395 and 7020?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*q = n - 11, 0 = n - q - 2. Let p(w) = -8*w**2 - 4*w + 5. Let l(k) = k**2 + k - 1. What is n*l(v) + p(v)?\nAnswer: -3*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 29*z + 9. Let a be r(-11). Let j = 34 - a. Which is greater: -174 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 3 = -v - 17, 5*d + 4*v - 4 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 2\/9, 0.0192, 281, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -214 - -209. What is the tens digit of 507 + 0 + 6 - w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-44)\/16 + 3)*8. Suppose h + k = -3. What is the tens digit of -1*11\/(h + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 386*f + 1542. Calculate m(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.103 + -0.003. Put -2\/13, -2\/11, 0.3, w in increasing order.\nAnswer: -2\/11, -2\/13, w, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55235 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 474358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/46 and -49\/4623.\nAnswer: 9246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-2)\/2)\/(-3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 114943 to the power of 1\/2, to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 0. Suppose -n*j + 50 = -0*j. Suppose 0 = o - 2 - 18. Solve 0 = 2*a + a + 4*b + o, 2*a + j = -b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 + 0 + 2*m**2 + 4*m**2 + 2 - 6*m. Let o be l(7). Let p be (-2)\/(-6) - o\/(-18). Solve 2*i - 3*a - 7 = 0, 0*a = 5*i + a - p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 44 + (-6 - 2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 47 = -44. Let p(o) be the second derivative of -1\/2*o**5 + 0 - 4*o**2 + 8\/3*o**h - 1\/6*o**4 + 1\/21*o**7 + 1\/15*o**6 + 3*o. What is n in p(n) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**2\/3 - 7*s\/3 - 6 = 0.\nAnswer: -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 times -1.8941\nAnswer: -0.265174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 286 and 11986?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -40*i - 1615. Calculate t(-40).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 17196304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1966, -3930, -5896, -7864, -9834?\n\"Answer: -l**2 - 1961*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28488344 a multiple of 386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2298, 2291, 2280, 2265, 2246, 2223?\nAnswer: 2196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * 141674\nAnswer: 9917.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 57*j**6\/2 - j**4\/6 + j**3\/3 - 528*j. What is the third derivative of y(b) wrt b?\nAnswer: 20520*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yi when two letters picked without replacement from pcpiivvpcvpyppppppyx.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t - 4. What is the remainder when (1 + 0)*(-4 + -2 + 53) is divided by h(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 49659, 97759, 145859?\n\"Answer: 48100*k + 1559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, k: 5}. Give prob of picking 3 k.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 445659?\nAnswer: -445656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-48)\/(-18))\/(1\/3). Suppose -3*g + r*g + 5*k = 21000, 2*g = -4*k + 8390. Let d = g - 34205. What is d rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 2\/9, -2\/487, 190\/11, 3\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 u when two letters picked without replacement from {y: 4, l: 3, u: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - -1 - (-20)\/8. Let i(t) be the second derivative of t + 13\/15*t**6 - 1\/3*t**3 - n*t**5 + 0*t**2 + 0 - 4\/21*t**7 + 7\/6*t**4. Factor i(w).\nAnswer: -2*w*(w - 1)**3*(4*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 17*h**2 - 26*h - 13. Is a(15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/49*-7*(-30)\/18\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 7 = -3. Suppose 2*r - 20 = 5*w, -n*w - 2*r + 5*r - 20 = 0. Let z = -3 - w. What is the greatest common divisor of z and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a6d4304 - -3?\nAnswer: -a6d4301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -31*v. Determine j(8).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6356 by 9511.\nAnswer: -6356\/9511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1210 - 11?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 42817.208 to the nearest 1000.\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/7 and (37\/(-5))\/(-1) + -1.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -672303 less than 0?\nAnswer: 672303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135 - 1001 + 685 + 664 - q.\nAnswer: -q + 483","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -722113*l + 1443479*l + 5*l**2 - 721366*l.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/14 bigger than -0.04506?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 125, 113, 85, 35, -43?\n\"Answer: -u**3 - 2*u**2 + u + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2 - 380*p - 36100 = 0. Calculate p.\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -22128 in ascending order.\nAnswer: -22128, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 + -53. Solve -i*v + 2*w = -2*v + 6, 4*w = 16 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 2*s + 2*s)*((10 + 4*s - 10)*(-706 - 365 - 681) - s + 2*s + 0*s).\nAnswer: 7007*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 226994669 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 148 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*o**4\/7 + 638*o**3\/7 + 416*o**2\/7 - 8*o\/7 = 0.\nAnswer: -2, -1, 0, 2\/107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**3\/b)**(-8\/13))**(-5\/7) assuming b is positive.\nAnswer: b**(80\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1))\/(3\/9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4239*d - 404. Is w(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5 = 40. Calculate the remainder when 60 is divided by (-1)\/(((-22)\/g - 3)\/(-3)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 g when four letters picked without replacement from {g: 8, r: 1, f: 4, x: 7}?\nAnswer: 196\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**13*u)\/u*u**(1\/4)*(u*u**2*u)\/(((((u*(u*(u**(-3)*u)\/u*u)\/u*u)\/u)\/u)\/u)\/u*u) assuming u is positive.\nAnswer: u**(81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -889*f**2 + 98*f - 49. Let t(g) = -37*g**2 + 4*g - 2. Let v(j) = -2*a(j) + 49*t(j). Let d(p) = 2*p**2 + 5*p**2 + 0*p**2 - 9*p**2. What is v(d(o))?\nAnswer: -140*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/3, -30.11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1603738 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*c + 19 = -0*r, -2*c = -5*r - 3. Let a be (-215)\/(-10)*2\/r. Suppose 3 = -5*i + a. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-21)*315\/23175.\nAnswer: -3\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a decade?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jgatkkkkjjkjkkkjtjkk. Give prob of picking 1 t and 2 j.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 342 - 225. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/111)*o**38)\/((o*o*o**18)\/(o*o\/(o**(-3\/4)\/o))) assuming o is positive.\nAnswer: o**(9649\/444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jdar when four letters picked without replacement from jdajddzrdd.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 24. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 8*g + 1. Let q(d) = 5990*d. What is q(w(l))?\nAnswer: 47920*l + 5990","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2. Let s be n(-2). Suppose 0*f = 3*f - s*j - 263, 2*j = -4. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(2\/3)*z)**(4\/15)*(z\/(z**(-2)\/z))**19 assuming z is positive.\nAnswer: z**(3452\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*i - 23, 4*c - 9 + 4 = -i. Let g be (6\/(-4))\/((-1)\/c). Suppose 4*n - 31 + g = 0. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.2 - -0.3. Let w = -2.6 + z. Let g = w - -1.0884. Round g to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/(-15)*93995\/22?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, d: 1, s: 1, v: 1, q: 1}. Give prob of sequence dbq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -n - 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1287*g*u**4 - 1582398*g*u - 1814*u**4 - 6*u**2 wrt u?\nAnswer: -30888*g*u - 43536*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + 6659 - 6659.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2543 - 2538. Let u(i) be the third derivative of 0 - 1\/6*i**a + 0*i**4 + 0*i - 12*i**2 + 0*i**3. Let z(n) = n. What is u(z(b))?\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 4:49 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 25 = -32*c. Let p be (-8)\/(-6) + c - (-52)\/6. Solve p*b - 4*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 435196 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 136 = -8*x + 168, -16 = -4*x - 4*w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - v = -4, -277*k = -277*k + 41*v + 205 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -9 + 9 + 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185682*o - 8*o**3 + 367886*o - 182204*o.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 527\/93 + (-5 - -2). Determine t, given that -2\/3*t**3 - n*t**2 + 4 - 2\/3*t = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33707 is divided by 8419.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*sqrt(72)\/sqrt(3) + sqrt(216)*4)\/((sqrt(1452) - ((sqrt(1452)*4 - sqrt(1452)) + sqrt(1452) + sqrt(1452)))*-4).\nAnswer: -4 + sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -6. Let p = -420\/11 + 38. Does o = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11571*g*u**4 - 4*g*u**2 + 501*g*u + 18*u**4 - 2*u**2 - 4*u - 4 wrt u.\nAnswer: 277704*g*u + 432*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**2 - j**2 - 2*j**2 + (-j + 3*j + 0*j)*(-98*j - 11*j - 129*j) + 4 - 4 + 3*j**2.\nAnswer: -472*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 - 26*c - 30. What is the hundreds digit of y(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 3*g**5\/10 + g**2\/2 - g. Find the first derivative of m(c) wrt c.\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*g - 106. Suppose 3*l - g = v, 4*l + 4*v - 231 = -79. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.33 * 573.\nAnswer: -189.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 4*x**2 + 7*x - 3. Let s be z(5). What is the derivative of -s + 11 + j**2 + 2*j**2 - 1 wrt j?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -7*g**2 + 35*g + 121. Calculate p(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x**3 + 8*x**2 + 5*x - 14. Let i(p) = p**3. Let l(o) = 6*i(o) - m(o). Let f be l(-7). Solve f = 2*g - 1 - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, i: 2}. What is prob of sequence iaa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddidddddd. What is prob of picking 4 d?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 6551*n + 288256. Give g(-44).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -8*x + 2. What is w(-5)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v**2 + 307*v + 600. Calculate g(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 45*f + 278. Determine j(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**4 - 110*y**3 + 110*y**3 + (2*y**3 - 4 + 4)*(-4*y + 3*y - 3*y) + 2*y**4 + 0*y**4 - 3*y**4 + 5*y**4 + 2*y**4 - 5*y**4.\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -5*u**6\/24 - 26*u**5 - 535*u**4\/2 - 1160*u**3\/3 - 1408*u**2. Factor t(o).\nAnswer: -5*(o + 4)*(o + 58)*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**5 - 39*k**4 + 1690*k**3 - 12170*k**2 + 19431*k - 8911 = 0.\nAnswer: -67, 1, 7, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51194 and 32578?\nAnswer: 358358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3\/7 - 12660*o**2\/7 - 10010892*o\/7 + 10023556\/7.\nAnswer: -4*(o - 1)*(o + 1583)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 27. Let p(a) = -3*a**3 - a. Let q be p(y). Suppose 5*b + 6 - 1 = 0. What is the second smallest value in q, 0.5, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 20414*f**2 + 22*f - 20. Let y(h) be the first derivative of 21*h**2\/2 - 4*h + 12. Let m be y(1). Let k be u(m). Round k to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/49 - 79\/931. Let v = -272 - -269.52. Let d = v - -2.78. Which is the closest to d? (a) n (b) -3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -2. Let n = 121\/3 + -41. What is the biggest value in n, h, 1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1638, 2638, 4296, 6606, 9562?\nAnswer: 13158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1667123 or -1667282?\nAnswer: -1667282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -129816046 * 2.\nAnswer: -259632092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - 0. Let w(l) = 4*l**3 - 67*l**2 - 179*l + 153. Let s be w(19). Which is the fourth biggest value? (a) -0.046 (b) s (c) 4 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/v**(-3\/5)*v**(2\/23)*v*v assuming v is positive.\nAnswer: v**(539\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 1:45 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*l - 12 - 231 = 0 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3928 is divided by 530.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 2 (c) -2\/3 (d) 3 (e) 3\/10 (f) 1 (g) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (33\/7 - -2) + (12 - 19). What is the biggest value in f, 12, 0.5, -0.21?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t**2 + 0*t**2 + 11*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.3 + 2.9. Let v = f + -1.8. Let t = v - -0.2. Which is the second smallest value? (a) 1 (b) -1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5565 is divided by 233?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(1584)*3)**2 - sqrt(11)).\nAnswer: -sqrt(11) + 14261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002883 rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176389185 divided by 5.\nAnswer: 35277837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4851258 - 866.491\nAnswer: -4852124.491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -6\/17 (c) -75 (d) 5 (e) 2\/2291\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p - p**4 - 4*p + 3*p**4 - p**4 + 0*p**4 + (2 + 0 - 1)*(2*p**4 - 5*p**4 + 5*p**4) - 147*p**3 - 354*p**4 + 723*p**4 - 365*p**4.\nAnswer: 7*p**4 - 147*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29962\/3 or -9988?\nAnswer: -9988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -469719 - -663368. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (3 - (-5 + 12 + -5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.1 + -1.1. Let d = 36007110.9999915 + -36007121. Let u = d + j. What is u rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -b**4\/4 + 19*b**3\/3 - 11*b**2\/2 + 57*b - 93. List the prime factors of c(8).\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 2*v**5\/45 + v**4\/18 - 2*v**3\/9 - 5*v**2\/9 - 4*v\/9 - 8. Factor g(o).\nAnswer: 2*(o - 2)*(o + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/(322\/343) + 3 + 9.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 10:01 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 456584 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: Solve 3*h = 0, -3*a - 3 = 3*h + 12 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/7)*z)\/(z**(-1)\/z))\/(z**(4\/9)\/(z*z**(6\/7)*z)) assuming z is positive.\nAnswer: z**(314\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 189 - 176. Suppose -o*r - 3*r + 512 = 0. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -732 in 3, -5, 17, -29, 0.3, -4?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.3 less than -2.39143?\nAnswer: -45.69143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 less than -7369016568056.8?\nAnswer: -7369016568063.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 3:06 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i. What is x(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 73, 55, 19, -41, -131, -257?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -3*h**5 - 1123689*h**4\/2 - 842748*h**3 + 4494711*h**2\/2 - 842760*h = 0?\nAnswer: -187280, -3, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-7) + (-9098)\/(-7) + 5. Calculate the greatest common divisor of x and 405.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 445 + 7*t - 6*t - 367. Let f(v) = -2*v**2. Give o(f(j)).\nAnswer: -2*j**2 + 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsv when three letters picked without replacement from vvwwwwvvwwwsww.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1318908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -627 and 46953?\nAnswer: -29439531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 63201 = -5*g + 775399, -949602 = -4*l - 2*g. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*((-9)\/(-6) - 2). Suppose 4*v - a*n = 26, -v + 6*v + 3*n = 19. Solve -3*x - j + v = j, 4 = j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.05 plus 130422742.5?\nAnswer: 130422780.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.2, -2\/7, 1, 0.8, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3 = 2*f - 3, -2*f = m + 6. Which is bigger: m or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.92, 0, -5, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06419559418 rounded to 6 decimal places?\nAnswer: -0.064196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23344.\nAnswer: 2, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**5 - 141*w**4 - 609*w**3 - 171*w**2 + 918*w = 0.\nAnswer: -3, -2, 0, 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 77*j + 1632 - 708 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*f - 6*f - 63. Let y be 141\/21 + 6\/f. Let v = y - 2. What is the greatest common divisor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 75? (a) 137 (b) 17 (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10981 * 564.\nAnswer: 6193284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 1. Let a(w) = 4*w**2 + 7*w + 6. Determine -a(d) - 6*c(d).\nAnswer: 2*d**2 - 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -6*a**2 + 53*a + 30. Calculate s(8).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 12:14 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)\/a*a*a**(-4)*a*((a*a**(3\/5))\/a)\/a*a*a**(2\/17)\/a)\/((a\/a**(1\/5)*a)\/(((a\/a**7)\/a)\/a)*a**(-1\/2)\/a**(-6)) assuming a is positive.\nAnswer: a**(-3839\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004502023 rounded to 6 dps?\nAnswer: 0.004502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2073559*o**2 - 2073603*o**2 + 4147164*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -44\/443?\nAnswer: -44\/443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2358\/5*(-20)\/(-84). Are x and 113 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 2544?\nAnswer: -2546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 12*r**2 + 3*r + 14. Give n(-12).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -166784 and 2.\nAnswer: -166782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 867, 879, 889, 897, 903, 907, 909?\nAnswer: 909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/2 - 691*n**3\/2 + 2067*n**2\/2 - 2065*n\/2 + 344.\nAnswer: (n - 688)*(n - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*k - 48 = 0. Calculate the greatest common factor of k and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 110 - 4. Calculate the remainder when x is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.09348 decades to millennia.\nAnswer: 0.8909348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/3508?\nAnswer: -3\/3508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/8)\/m*m*m*m**(-6)*m*(m**(-2))**(-1\/19))**(-20) assuming m is positive.\nAnswer: m**(3055\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44 - 40104?\nAnswer: -40152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**3\/3 + 4*h**2 + 22*h\/3 + 4 = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -13387 (c) -2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3275 and 265925?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4474 - -4506. Calculate the lowest common multiple of 42 and p.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -54. Let m = 49.108 + t. What is m rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 3:09 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, 3.2, -0.13, 33.1, -4, -1\/2?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 5*v**2 + 3*v + 1. Let g be j(-3). What is the common denominator of (-4)\/g - (-294)\/(-540) and -3\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 37.705 and 0.17746.\nAnswer: 37.88246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = -o + 2*i + 80, 3*o - 160 = i. Let z be (-11 - (1 + -1)) + -27 + 25. Let l = z + o. Is l a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -96, 5 in decreasing order.\nAnswer: 5, -2, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15960 and 1817445?\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 71 - (0 + 1) - -2. Let t(k) = -k**2 + 39*k + 282. Let m be t(44). Let z = f - m. Calculate the lowest common multiple of z and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -14001*r + 4. Let i(a) = -a. Let d(m) = -2*i(m) + p(m). Let n be d(-4). What is n rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27.223 and -117?\nAnswer: -3185.091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**3 - 13550848*j**2 + 13550862*j + 81305100 = 0. Calculate j.\nAnswer: -6775425, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 203549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3841*j**3 + 1612*j + 1?\nAnswer: 23046*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4752 = -13570*z + 13471*z for z.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2586812067 from 46.\nAnswer: -2586812021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189, 780, 1773, 3174, 4989?\nAnswer: 7224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2879, 2925, 3039, 3251, 3591, 4089, 4775, 5679?\nAnswer: 6831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**6\/120 - g**5\/15 + g**4\/6 - 2*g**3\/3 + g**2. Let r be c(3). Let w be r + 3 + 6\/3. Is w smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -603 + -6?\nAnswer: -609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 8 = t. Suppose 4*a - a - 74 = -4*d, 2*d = t*a - 62. Let l = -11 + a. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1cda3 - 0?\nAnswer: 1cda3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 47121 and 3.\nAnswer: 47121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2610 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-810)*4)\/(3\/15). Let f = h - -68\/189. Factor 1\/7 + 1\/7*u**2 + f*u.\nAnswer: (u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a82b + 0?\nAnswer: -a82b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rpppprppzoo. Give prob of sequence rz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1329379, 1329356, 1329333?\n\"Answer: -23*t + 1329402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ivygwygv. Give prob of picking 1 w and 2 v.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/7 + 16*z\/7 + 57\/7.\nAnswer: -(z - 19)*(z + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3 + (sqrt(15)*-4)\/sqrt(5)) - ((5 + sqrt(12)\/sqrt(4))*4 + -5))*4.\nAnswer: -120 + 64*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 100*g**2 - 628*g + 5. Give r(6).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 11*a**2 + a - 6. Suppose 3*x = 3*l + x + 20, -2*x = 3*l + 4. Let o(g) = 10*g**2 + g - 6. Let j(v) = l*i(v) + 5*o(v). Is j(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**5\/60 + j**4\/36 - 6*j + 1. Let h(q) be the first derivative of z(q). Solve h(r) = 0 for r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -173 - -180.968. Let t = -8 + i. Let q = 0.001 - t. Round q to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 611296 is divided by 122257?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 0, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g - 5. Let b = -1 - -3. Let a(q) be the second derivative of -3*q + 0 - 2\/3*q**3 + 11\/2*q**b. Determine 6*a(r) + 13*n(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20 and -0.1671482.\nAnswer: 3.342964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r + 108. Calculate n(14).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148 greater than 1150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18201405 by 3640281.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**7\/168 + 2*f**4\/3 + 5*f**3\/3 - 9*f**2. Let k(j) be the first derivative of n(j). Differentiate k(q) with respect to q.\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*y**4 + 951*y**3 - 88*y**2 + 6*y + 216738 wrt y?\nAnswer: -372*y**2 + 5706*y - 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 + 43?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, 2.5, 40463?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7*(-2 - -3) - -1. Let f be -5 + 5 - b\/(-16). Let s = -14.7 - -15. Is s <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w**3 - 5*w**2 - w + 5. Let y(d) = 2*d**3 + 41*d**2 + 20*d - 5. Let f be y(-20). Let h(u) = 4*u**3 + 6*u**2 - 6. Calculate f*h(g) - 6*n(g).\nAnswer: -2*g**3 + 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 31 = -5*h, -4*h + 0 = 5*u - 19. Let o be 7*(-2)\/(-6) - (-4)\/h. Solve -19 = -o*s - 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8476441*l**4 - 64306*l + 19.\nAnswer: 101717292*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -8. Suppose 2*c + 756 = 20*c. Suppose 3*u - c = -2*u + 3*i, 3*u - 30 = -3*i. Solve u = -t*x - 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 873, 870, 867, 864, 861?\nAnswer: 858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/7))**(1\/19)*b\/(b\/(b\/b**15))*b**(-10\/9) assuming b is positive.\nAnswer: b**(-18061\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1204 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 - 3*d - 1. Suppose -153 = -5*q + a, -2*q + 3*a - 14 + 70 = 0. Let m(x) = 15*x - q*x - x**2 + 1 + 18*x. What is 5*m(l) + 3*r(l)?\nAnswer: l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*d + d**3 + 4*d - 2*d**3 - 4*d**2 to the form j*d + h*d**2 + q*d**3 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 - 182*t + 180*t - 27 - t**2 to the form o*t**2 + m*t + a and give a.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (62 - 50) - (5 - 1 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4480 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 4 + 4)*(8 + 5 - 1)*(3 + 2 - 3)*(3*f + 5*f - 3*f).\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyl when four letters picked without replacement from yyyyyyyyylylyyyyyyyy?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 0)*(-3)\/2. Let s = y - 1. Let v(o) = 9*o. Does 15 divide v(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g + 410*g**2 + 119*g**2 - 517*g**2.\nAnswer: 12*g**2 + 9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 45*q - 273. Calculate l(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 4 = -4*u + 6, f - 18 = -4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s + 10*s - 28*s + 11*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 20.00045. Let d = 0 + q. What is d rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 684560.6 to the nearest ten thousand.\nAnswer: 680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (226\/5*1)\/((-11)\/(-495))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10687610*x**4 + 5840756 with respect to x.\nAnswer: -42750440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1055992?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0, 0.1017, 5, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -80. Let a = o - 55. Suppose 4 = l - 4*r, 3 = -3*l + 7*l - 3*r. What is the closest to 0 in l, 0.1, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*r**3 + 3\/4*r**2 + 0 - 3\/8*r - 3\/4*r**4 + 3\/8*r**5.\nAnswer: 3*r*(r - 1)**3*(r + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -134 + 133.8. Which is the third biggest value? (a) z (b) -7 (c) 2\/59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5493 + -5487. Solve 23*o - 17*o = u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/2 - 16\/(-8). Let o(i) = 5*i**3 - 3*i**2 + 6*i + 9. Let m(n) = n**3 + n + 1. Let g(z) = -6*m(z) + o(z). Let x(r) = -r**2 + 1. Give s*x(q) - 2*g(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3125316929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 5*l**2 + 3*l + 10. Suppose -a + 1 = -3*w, -5*a + 7*a = 3*w - 1. Let s(k) = -6*k**2 - 9*k - 1. Let r be s(a). Is c(r) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*g + 5*g - 8*g - 3)*(-28 + 2 + 0) to a*g + i and give i.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 5*o - 69406024, -2*p - 4*o = -9*o + 46270691. Let r = p + 13835333. Round r to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 414514?\nAnswer: 414515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-18))\/((-3)\/5)*56\/(-210)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/6 - (-852)\/72.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11932.59 months to millennia.\nAnswer: 0.9943825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96 + 120. Suppose 2*c - x = 4*w, 3*c + 5*w = 6*w + 46. What is the remainder when 68 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 2) + 0 + 4. Let x be -5 + 3 + j + -1. Let c = 8 - 3. Solve 5*a + c = -x*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/27*(142 - 1). Let h = g + -41. Calculate the least common multiple of 60\/14 + (-240)\/(-42) + -6 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.18000163 - 3.18. What is b rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppd. Give prob of sequence dp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -7 (b) 93 (c) -1\/2 (d) 86 (e) -3.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(880)*-1)\/(sqrt(40)\/sqrt(72)) + -4*((2 + sqrt(704) - sqrt(704)) + sqrt(704) - sqrt(704) - (sqrt(1100) + 1))**2.\nAnswer: -4404 + 68*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 10 = 18 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 64*t - 65. What is o(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*s**2 - 68*s**2 + 116*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -414626 less than or equal to -414623?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*f + 196*f = -7. Which is the smallest value? (a) f (b) 108 (c) 0 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.8 (b) -8 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569170 is divided by 11614.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464 is divided by 59?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzlastslzttsttzs. What is prob of sequence sl?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3007*x**2 - 2690*x**2 - 2868*x**2 - x + 8201*x**2 + x.\nAnswer: -364*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302 + 332 = -6*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*j + 648992 + 194263 = 0. What are the prime factors of j?\nAnswer: 3, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25112\/(-4964))\/86*2686\/4.\nAnswer: -79\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 4*m**2 + 4*m. Let y be i(3). Let o(n) = -n**3 + 5*n**2 - 3*n + 2. Let p be o(y). Solve h + p = -3*g, h - 6 = -3*h - 2*g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 77793.74m?\nAnswer: 7779374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, d: 3, j: 1, y: 1, c: 3, k: 1}. What is prob of sequence dj?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5237\/3 - 1859. Is -113 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 14) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 20, -b - 35*m + 33*m = -59. Let a be (756\/b)\/(-3) - -5. Suppose 0 = 7*d - 2*d + 5. Is d at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -9439747.\nAnswer: 9439747.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254.3393ug to milligrams.\nAnswer: 0.2543393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 207122, 207117, 207112, 207107, 207102?\n\"Answer: -5*s + 207127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1290 - -233484\/181. Which is greater: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*(sqrt(1539)*1)**2.\nAnswer: -9237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -2\/7, 0.4, 1, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-5*(sqrt(192) - (0 + (sqrt(192) + 2)**2) - sqrt(192))*-3.\nAnswer: -2940 - 480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from {v: 4, f: 1, d: 1, k: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -146*m - 0*d - 2*d + 4680, 1098*d + 60 = 4*m - 2*m + 1097*d for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 882 and 1512.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*q - 41*q**2 + 58*q - 263*q + 88*q + 63*q.\nAnswer: -41*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(88)*-2*3 + (sqrt(88) + (sqrt(88)*-1*1 - sqrt(88)) - sqrt(88)))\/(((sqrt(336) - sqrt(336)*2)\/sqrt(7))\/(sqrt(6) + -6*2*sqrt(6))).\nAnswer: -88*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.2, -2\/9, -15, -1\/4?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-6))\/(610\/3294)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.451499ns in hours?\nAnswer: 0.0000000000187365275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -877, -1759, -2655, -3571, -4513?\n\"Answer: -b**3 - b**2 - 872*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 6728 = -o, -6*z + 2*o = -11*z + 6736. Is 42 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 54.52808 hours?\nAnswer: 196301.088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -469818.\nAnswer: 1\/52202","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 16*r**2 + 121*r - 46. What is the units digit of z(-23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(-4)*9\/(486\/(-24))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 8292*j**4 - 8302*j**4 - 3*j + 4 - 3 as w*j + h + a*j**3 + k*j**2 + i*j**4 and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**2 - 2*a. Let j(i) = 68*i**2 - 2*i. What is -j(y) + 3*o(y)?\nAnswer: -74*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zinzgxgqx. Give prob of picking 1 x and 1 z.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 112 - 106. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 175.643 - 176. Let x = y + -47.343. Which is smaller: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -8*i - 16. Calculate the remainder when p(-3) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -598 + 603. Suppose s = -3*s + 4. Solve -s + 16 = h*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 3315\/(-204))*(-40)\/9?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 3*g + 48, 23071*g + 50 = -l + 23066*g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-5) + (-1)\/(-5). Let v = 62 - 54. Let d be (4\/v)\/(1\/4). What is the nearest to d in -4, u, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 2*c + c**3 + 2*c**3)*((1 - 2 + 2)*(-3*c**2 - 13*c**2 + 2*c**2) + c**2 + 3*c**2 - c**2).\nAnswer: -33*c**5 - 22*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24, 35, 1196, 4011, 9032, 16811?\n\"Answer: 92*i**3 - i**2 - 582*i + 467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + 4. Solve 4*f + f + m = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**2 - 2*a. What is the remainder when 77 is divided by b(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 6*q - 15. Let a = -11 + 12. Suppose -2*j + 8 = -4*s, 3*j = -5*s + 13 - a. Are q and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*b + 3*c + 45, -2*b - 5*c - 13 = 0. Let m(z) = 15*z**2 + 2*z - 1. What is the least common multiple of b and m(1)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 2*k**3\/3 - k**2\/2 - 2*k + 263. Calculate j(16).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24450 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 968348825 to the power of 1\/2, to the nearest integer?\nAnswer: 31118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 4*w + 24. Let n be (9\/6)\/(6\/w). Solve -k + 7 = n*l, -3*k = -0 + 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i**2. Let x(l) = -378*l. Calculate x(k(y)).\nAnswer: -1890*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 + 184*n - 92*n - 92*n.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b*x**3*y - 453*b*x**3 + 5*b*x**2 - 113*b*x*y + 20*b*y + 1111*x**3*y + 10*x**2*y wrt x?\nAnswer: -18*b*y - 2718*b + 6666*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 239*n**2 - 158*n**2 - 75*n**2. Let w(r) = -32*r**2. Give p(w(u)).\nAnswer: 6144*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -209*f**3 - 95*f + 95. Let a(x) = -13*x**3 - 6*x + 6. Calculate 95*a(s) - 6*h(s).\nAnswer: 19*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.09 - 1.31. Let h = -11.4 - q. What is the second biggest value in -0.4, 0, h, -3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/484 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9926922?\nAnswer: 2, 3, 613, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 1:13 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 19 = 11. Let l = c + 17. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) -2 (c) 106 (d) -1 (e) -2\/9 (f) -4\/7 (g) -6\/19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x**2. Let a(o) = -4*o**2 - 6. Let j(c) = 3*c**2 + 5. Let i(l) = 5*a(l) + 6*j(l). Determine i(f(v)).\nAnswer: -50*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/27)\/((84\/27)\/(-14)). Solve 2*t - 4 = -0*g + 2*g, 6 = t - v*g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 u when two letters picked without replacement from uuubszs?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oopovttttntvb. Give prob of sequence tnb.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13737060709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6*p. Let a(q) = 3*q**2 - 5. Let d(n) = -2*n**2 + 4. Let x = 47 + -42. Let c(z) = x*d(z) + 4*a(z). Determine c(b(j)).\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11329724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-32)\/28*28\/(-24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1739, -6.\nAnswer: -6, 0, 1739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + sqrt(2187) + -1*sqrt(12)\/sqrt(4) + -4)**2.\nAnswer: -8116 + 208*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9923877, -3\/2, 2 in increasing order.\nAnswer: -9923877, -3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 448 and 25254464.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b**2. Let c(s) = -25*s**2 - 8. Determine c(d(q)).\nAnswer: -225*q**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**39*k*k**26\/k assuming k is positive.\nAnswer: k**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 110573.891 rounded to the nearest 1000?\nAnswer: 111000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -80*m + 11. Suppose 5*f = 5 + 5, 0 = 2*u - 3*f + 12. Is d(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmw when three letters picked without replacement from {m: 6, x: 2, w: 9}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/(-120))\/(-4)*24\/(-32)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/69 and -119\/12.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 14 + 19 + 17 - 50.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6832, -6839, -6852, -6871, -6896?\n\"Answer: -3*c**2 + 2*c - 6831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 113, 5, 1.\nAnswer: 1, 5, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 12*u**2 + 10*u + 10. Let x be f(-10). Suppose -5*r = 3*c - 168 - 9, 2*c = 3*r - x. Suppose -6*q = -2*q - r. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0471 times 1\nAnswer: -0.0471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -64*t**3 - t**2 + t + 1. Let w be u(-1). Let p = w - 119. Let z be p\/(-26) + 4\/(-26). Let d(q) = q - 2. Determine d(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18303*p - 18383*p - 1840 = 0 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(187) + -1*sqrt(187)*3 + sqrt(187) + -6*(sqrt(187) + sqrt(187)*2 - sqrt(187))))\/(3*-5*(sqrt(396)*-1 - sqrt(396))).\nAnswer: 13*sqrt(17)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -28, -59, -92, -127, -164, -203, -244?\n\"Answer: -q**2 - 28*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 0*t + 2 + t - 6. Let l be x(4). Solve l = -o + 2*o - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 + 115 - (-1 + 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 593 + 108359*d - 108359*d + 504*d**3 wrt d.\nAnswer: 1512*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**3 - 2*b - 2. Let j(a) = 3*a**3 + 5 + 5*a - 5*a**3 - a**3 - 4*a**3. What is 2*j(v) + 5*u(v)?\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - k - 10 = 0, -4 + 14 = b - 4*k. Suppose -2*x + 181 = -2*h + 7*h, b*x - 6 = 0. What are the prime factors of h?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 7*p + 22. Let d be m(11). What is the units digit of (-3)\/(d\/(-2778)) - 6\/33?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -9*b + 67. Let k be q(7). Solve d = k*o + 22, 0 = 2*d - o + 3 - 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, l: 2, i: 3}. What is prob of sequence liii?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y + 2*y + 3*y)*(1 - 6 + 3) as x*y + m and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1216 - 0.0746. Let a = 0.5 - 0.6. Which is smaller: f or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5585284 and 1068.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 2\/141, -2.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01876699508 to six decimal places.\nAnswer: 0.018767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 134 (b) -1\/5 (c) -0.006 (d) 8 (e) -2\/9 (f) 5 (g) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 17) + -6 + (17 - 6) + -24?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 60.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 + 2*n - 3. Let i(j) = -2*j**2 + j - 4. Let d(k) = -5*i(k) + 6*s(k). Let l be 0 + 151\/2 + 3\/(-6). Let v be l\/90 + 50\/12. Calculate d(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3 + -3 + (sqrt(176)*2)**2 - (4 + sqrt(121)\/sqrt(99))*-4).\nAnswer: 4*sqrt(11)\/3 + 722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**3 - d**2 - d. Suppose -k = k. Suppose -z + 1 + 0 = k, -3*v + 4*z + 14 = 0. What is the least common multiple of v and p(-2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - 355\/(-20))*(2 - (-147 - -9)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89 - -28. Suppose 4*i - m = -5*g, 5*g - 19 = -3*i + 95. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37479 + -1874039\/50. Calculate the common denominator of 67\/105 and n.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -453*y - 9064. Determine u(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -109*a + 190*a - 86*a + 5*o - 110, -2*a = 4*o + 74 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6408216 by -72.\nAnswer: -89003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (7239\/114)\/(1\/22) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) 5 (b) -3 (c) 33\/4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17982 = -163297*o + 162811*o for o.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, s: 4, l: 8}. What is prob of picking 4 p?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16407 - -16407. Let n(a) be the second derivative of 7\/4*a**4 + 0*a**3 + 0 + g*a**2 + 18*a. Let f(w) = w**2. Give n(f(u)).\nAnswer: 21*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3 - 9. Let m = u - 9. Let v(y) = y**3 + 3*y**2 - 4*y - 3. What are the prime factors of v(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + (2*sqrt(7))**2).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0)\/(7\/35 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -103473, -106757, -110041, -113325, -116609, -119893?\n\"Answer: -3284*q - 100189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -1\/2, 53, 2, 4, 10.69 in ascending order.\nAnswer: -1\/2, 2\/5, 2, 4, 10.69, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + u + 2*u - 9, -3*u = -9 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 40020 (base 6) to base 13\nAnswer: 2499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -19*b + 19. Find the third derivative of -43*f**4 + 17*f**2 - 16*f**2 - f**4 + 22*f**b wrt f.\nAnswer: -1056*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**3 + 0*f**3 + 7*f**3 - 7*f**3.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - p + 6 = 0. Suppose 0 = -2*j + 7*j + 15. Put j, p, -1 in descending order.\nAnswer: p, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 550023319?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 2*l + 3. Suppose -k = -i, -2*k = -4 - 2. Let y be 8\/i + (-4)\/6. Let g(v) = v - 1. Let b = 28108 - 28107. What is b*d(a) + y*g(a)?\nAnswer: -a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/18)\/(-7) + (-5)\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -0.0599 (c) 0 (d) 27\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + i - 1 = -7, -u = 4*i - 11. Suppose -u*a = -1 - 370. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 2, -106, -0.1, -2\/19?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**3 + 18*l**3 - 5*l**3 - 7*l**3.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0315 to 3 dps.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.47 - -3.470459. What is s rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 209278*m**4 - 19243*m**2 - 2*m + 20?\nAnswer: 5022672*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 156, 1\/3, 0.9, 1 in ascending order.\nAnswer: 1\/3, 0.9, 1, 2, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j. Determine r(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1122 divide 30923805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 16*v**2 + 36*v + 15. Calculate l(11).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -396, -2567, -8070, -18447, -35240, -59991, -94242, -139535?\n\"Answer: -257*y**3 - 124*y**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 4*d - 2. Let k = d - -3. What is the derivative of 6 + 0*r - 2 - 5 + k*r wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 1\/6, 4, 361, 2\/45, 3?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4419002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384 = 3*j + 3*j. Let v(g) = g - 1. Let i be v(6). Suppose 160 = i*o + 3*b, -2*o + 5*b = -0*o - j. Is o a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8737 times 4.7?\nAnswer: -41063.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 16069 divided by 1\nAnswer: 16069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5.5 * 0.07\nAnswer: 0.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*h + 440*h = -1501 - 137 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34727 + 34733. Let b(q) = -63*q + 15. Let r(z) = -31*z + 7. Determine m*b(a) - 13*r(a).\nAnswer: 25*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 4\/377 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(135) + (sqrt(135) - (-4*sqrt(135)*2 + sqrt(135) - sqrt(135))))\/(sqrt(5)*-1*3).\nAnswer: -10*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 - 462*w**2 - 457*w**2 + 926*w**2 to the form b*w**2 + p*w + u and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 3*q + 12*q)*(7 + 4*q**3 - 7) + (q**4 + q**4 - q**4)*(1 + 7 + 3).\nAnswer: 67*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2. Let u(n) = -3*n**2 - 3*n + 223. Give u(i(y)).\nAnswer: -27*y**4 - 9*y**2 + 223","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1509*b*j*w**3 - 26*b*j - 63*b*w**3 + 21*b*w**2 + 6*j*w**3 - j + 4*w**3 - 7*w**2 + 120*w wrt w.\nAnswer: 9054*b*j - 378*b + 36*j + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w - 34. Let r be i(17). Solve r = 4*f - 6 - 14 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39644, -39634, -39618, -39596?\nAnswer: -39568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -143, -3, 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -557 = -4*v + 75. Let s = v - 146. Solve s = -q - 2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4743691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7119165.\nAnswer: 3, 5, 157, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 6*c**2 + 12*c + 3. What is the tens digit of t(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 466*b + 714 = 508*b. Let z(k) be the second derivative of 1\/4*k**4 + 0*k**2 - 1\/3*k**3 - 1\/20*k**5 + b*k + 0. Suppose z(r) = 0. Calculate r.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1686307 divided by 217.\nAnswer: 7771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 0*v**5 + 4*v + 0*v**4 + 2\/21*v**7 + 0*v**6 + 1\/3*v**3 + 0 + 0*v**2. Find the second derivative of j(y) wrt y.\nAnswer: 80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -71) + 18 + -15. Let g = -439\/6 + o. What is the second biggest value in -0.8, 0, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 42\/9240485?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*g + 48 = 0, 3*j - 4*g - 7 = -50. Suppose 0 = -22*d + 20*d + 86. Let l = 45 - d. Put j, -1, l in increasing order.\nAnswer: j, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w + 11. Let t = -5 + 12. Let z be p(t). Let u = -1 + z. Which is greater: -12 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -228 - -224. What is the third biggest value in -19\/5, o, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8225 to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 - 48. Let f be 0 + (-2)\/(-4) + i\/4. Suppose 0 = f*c - u - 335, 0 = 5*c + u - 4*u - 836. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -1\/20*c**5 + 0*c**4 + 2*c - c**2 + 0 + 0*c**3. Calculate the remainder when 8 is divided by q(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -94*p**5\/5 + p**4\/4 + 92*p**2 + 141. What is the second derivative of i(n) wrt n?\nAnswer: -1128*n**2 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ihhiihhhhhh. What is prob of sequence ihii?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 11408356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9322 - 3439. Solve i + i + 1 + 5884*i**2 - p*i**2 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-72)\/(-45) + (-1 - 2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 78*f**2 - 1470*f - 55. What is j(32)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + k = 4*w - 8685, 3*w + 2*k - 6511 = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -645.6 - -555.02. Let w = 91 + h. Let l = w - 0.42. Is 49 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29748568 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2\/4 + 32455*x\/2 + 64909\/4 = 0. Calculate x.\nAnswer: -64909, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -46264720\nAnswer: -9252944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16070326?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/31 (b) 27 (c) -3 (d) -7 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 11:58 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 + 3*p + 8. Let f(g) = -g**2 + g + 7. Let q(w) = w**2 + 10*w + 38. Let k(l) = 3*f(l) - q(l). What is -3*k(i) - 7*r(i)?\nAnswer: -2*i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1089*r - 1088*r - 2 + 2179*r + 2.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 88139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5887.665mm?\nAnswer: 5887665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 181015*o**2*p**3 + 2*o**2*p**2 - 36*o*p**2 + 2*p**6 + 1279*p**2 wrt p.\nAnswer: 1086090*o**2 + 240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by 5.\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*z = 55*z - 44*z + 1456 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 u when four letters picked without replacement from {x: 2, f: 5, u: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 52708 divided by -7\nAnswer: -52708\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 868793625 to the nearest integer?\nAnswer: 29475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 5*j - u, 0 = -j - 2*u - 3*u + 15. Let d be j + (-2 - 3*-1). Let o be 3\/14 + d\/8. Which is the closest to o? (a) -0.2 (b) -0.1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 3:56 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -180, -177, -174?\n\"Answer: 3*k - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11836 and 9953?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7496018 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 520 = 5*v - 3*p, 2*p = v + 2*v - 312. Let m be 1*(-5)\/6*v\/(-130). Sort m, 0, -1\/4, -13\/3 in decreasing order.\nAnswer: m, 0, -1\/4, -13\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -209099 + 6?\nAnswer: -209093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 8*u**2 + 237*u + 1430. What is the remainder when x(-6) is divided by 143?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/22 and (-60)\/16*27\/(-120).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**(-3\/11)*l*(l**(-2\/9)\/l)\/l*l*l*l**(-6)*l\/l**3*l**(-5)*(l**1)**(-28) assuming l is positive.\nAnswer: l**(-4009\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + -7. Calculate the least common multiple of 6 and (-1)\/(-4) - 94\/y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -211.\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s**3 - 2*s**2 + 5*s - 1. Suppose 2*z + 5 = -5. Let o(n) = -3*n**3 - 3*n**2 + 4*n - 1. Let a(j) = z*o(j) + 4*x(j). Is a(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7\/2 + -4)\/((-71)\/(-142)). Suppose 5*n - v = -13, 0 = 2*n + v + 2 - 1. Put p, n, 2, -5 in descending order.\nAnswer: 2, p, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29330445607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-94 - -134 - 51)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-22))\/(-1) + 375\/550?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3445 = 456*i - 578*i + 517 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k**3 - 6*k**2 - k - 3. What is the units digit of b(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 1a94?\nAnswer: -1a94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1073 + 1113. What is the highest common factor of t and 1000?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1019 from -1.9.\nAnswer: -1020.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/105 in -0.31, 2\/7, 1\/7, -3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (22 - 7) + 2 + -37.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15.4997*892\nAnswer: -13825.7324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130917 = -579*p - 1988*p for p.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9995*p**3 - 29720*p**3 + 9857*p**3 + 9828*p**3.\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -t - 14, -3*t - 3*f - 5 = -38. Let b be 6*(t\/(-3))\/(-6). Solve -10 = -6*m + b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73207, -146420, -219633, -292846, -366059?\nAnswer: -439272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 923.6*-5.\nAnswer: -4618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 8 = -3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 10*w**2 - 30*w - 18. Suppose 175 - 59 = 2*c. What is the remainder when c is divided by k(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(5\/3))*m**(-7\/5))\/(m**(-4\/3)\/m**(-1\/7)) assuming m is positive.\nAnswer: m**(51\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8343315 is divided by 1669.\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.9712274093 from 0.2.\nAnswer: 1.1712274093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 4, 0.\nAnswer: 0, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4*((sqrt(80)*1 - sqrt(80)) + sqrt(80))**2*-4 + -3.\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*a + 594 + 382, 4*b - 4*a = -972. Let h = b - -245. Solve 12 = -2*j + h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/28)\/(17\/(5440\/(-144)))\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t**2 - 97*t - 12. Let k be o(-16). Suppose 2*b = -b + k*b. Solve b = -5*w + 7*w - 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5960777 to the nearest integer?\nAnswer: 2441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 723175759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-34 - -23) - (-1 + -5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -1196*s**2 + 2841*s**2 - 4367*s**2. Let i(f) = f. Calculate i(y(w)).\nAnswer: -2722*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -x**6\/6 - 22*x**5\/5 - 21*x**4\/4 + 4334. Factor i(v).\nAnswer: -v**3*(v + 1)*(v + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 7) to base 15\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (59 - 59 - 6*i**2)*(2*i**2 - 2 + 2) - 2*i**4 - i**4 + i**4 to the form h*i**3 + f*i**4 + t*i**2 + d + q*i and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22739408 is divided by 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -33 + -4 - (-182 + 178) - -18\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - ((0 - -3) + -1). Suppose 1 = l - 0*l. Suppose w - 5*h + 3*h - l = 0, 4*h = w + 1. Sort v, w, -5 in increasing order.\nAnswer: -5, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/5)\/d**(-15))\/(d\/d**(4\/7))**(-50))**(26\/3) assuming d is positive.\nAnswer: d**(33514\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + (87 - -66) + -115 + 1.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -692 - -691.6. What is the second biggest value in v, -5, -0.02?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1482 - 1482. Solve 21*x + 20 + 43 = l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 259 - 255. Let l(r) = 2*r - 6. What is the remainder when l(6) is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(40\/6))\/((-1)\/5). Let g = -21 + 37. Suppose h*l - g - 2 = 0. What is the least common multiple of 10 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - -6210786?\nAnswer: 6210780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 88*p - 3634125 = 7*p. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 + 1026 - 2005 + 1010 - 3*u**2.\nAnswer: -2*u**2 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*v + 20 = -116*v. Suppose -5*c + 156435 = -7*m + 2*m, 5*c = v*m + 156433. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 330 + -131?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-21))\/(28*10\/(-90))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -17*h + 23. Let a = -32 + 38. Let c be g(a). Let u = 155 + c. List the prime factors of u.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2650622?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 4*z**2 + 3*z - 1. Let f be g(2). Let n = f + -2. Let w(u) = -u**2 - 7*u - 4. What is w(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4105*h + 51 = -4102*h + 3*z, 36*h + z = 122 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9012793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 11:20 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times 126\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19943470*u**3 - 74234*u**2 + 79*u?\nAnswer: 119660820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4140 - 4139.109. Round c to two decimal places.\nAnswer: 0.89","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 962705137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 272.1 - 272. Suppose 8 = 3*h + 4*x, -9 = -h - x + 6*x. Sort 7, h, r in descending order.\nAnswer: 7, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -13*n - 9. Let w be c(-3). Let y be (w\/9)\/(-5)*-3. Let s(d) = 13*d**2 - 2*d**3 + 0*d + 4 - 18*d**y - 2*d. Calculate s(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -3.04643 (c) -15 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/5)*p**(-14)*p*(p**(3\/5)\/p*p)\/p*p*p\/(p\/(p\/p**(1\/11)*p)) assuming p is positive.\nAnswer: p**(-588\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1093, 4 in decreasing order.\nAnswer: 5, 4, -1093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -7743571 bigger than -7743621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4013145 (base 7) in base 3?\nAnswer: 220002100120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -3474633.\nAnswer: -3474636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 57*u**2 + 3*u + 2. Let q be n(-2). Let o be (-4028)\/26 - (-14)\/(-182). Let g = o + q. What are the prime factors of g?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10283817?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**4 + 0*j**4 - 2*j**4 + (-2 + 2 - j)*(24 - 31*j**3 - 24) to w*j**2 + u + f*j + i*j**4 + z*j**3 and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1094*b + 19 = -5*w + 1090*b, -2*b = 5*w + 17 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4139074472.\nAnswer: 2, 13, 39798793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*m = 41*m. Suppose -6*j - 3*j + 9 = m. Suppose v - 12 = -2*v - 5*y, 2*y + 20 = 5*v. Which is the smallest value? (a) v (b) j (c) -3 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-81)\/(-324))\/(12\/8 - -2).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3496)\/(-1164) - 3)*6. Which is bigger: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(14\/50) - 4. Let x be ((-2)\/2)\/(-4 - -10). Let p = x + 2\/3. What is the second smallest value in m, -0.4, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3946 * -0.02313.\nAnswer: -91.27098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 + j - 1. Let g be r(-1). Solve -4*b = -3*h - 4, g - 4 = -4*b + h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9247 (base 10) in base 14?\nAnswer: -3527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1006632?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 83, 191, 297, 401?\n\"Answer: -b**2 + 111*b - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -60\/7, -6, -1\/2 in ascending order.\nAnswer: -60\/7, -6, -2, -1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 393 = -225. Suppose 4*c - 33 = -3*l, -4*c + 28 = 7*l - 3*l. Calculate the smallest common multiple of c and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -3. Suppose 0 = -a*o + o + 56. Suppose -5*f + 44 = -161. What is the remainder when f is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c - 3. Let o be z(6). Solve -2*i - b + 10 = -4*b, -o = i + 5*b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16841 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -427, -793, -1157, -1519?\n\"Answer: i**2 - 369*i - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.1 + -2. Let g = 17 + -25. Let s be (-42)\/36*g\/14. Which is the closest to -0.2? (a) s (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 6 = 0, -5*n + 3*w + 4 = 15. Let o be n + -3 + 2 + (-4 - -2). Which is the second smallest value? (a) 2\/33 (b) o (c) 2\/9 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1225809961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -917754 rounded to the nearest 1000?\nAnswer: -918000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -291, -594, -895, -1194, -1491, -1786?\nAnswer: -2079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25176347 = -3*f + 16673653. What is f rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -365 - -596. Let w = d - 227. Which is the biggest value? (a) -72 (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 - ((-15 - -10) + 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + -1 + 3 - 2*1. Calculate the remainder when 36 is divided by (-1 - p)\/1 - 184\/(-46).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -895*l + 888*l + 56 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (962\/52)\/(2\/92) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k**2 + 2*k + 182. Let w be q(0). Calculate the highest common divisor of w and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g. Let t be q(0). Suppose -4*n = -5*u + 75, 7*n + 15 = u + 2*n. Let s = u - t. Solve -4*m = m + s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 476245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 divided by -1.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0225 * -891.8.\nAnswer: 20.0655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 10:37 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.07 (b) 0 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56136.\nAnswer: 2, 3, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356*n**2 - 92*n**2 - 95*n**2 - 83*n**2 - 85*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*q + 72 + 54 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s + 12*s - 12*s - 1)*(-2*s**3 - 1 + 1) + (s - s + 2*s)*(10*s**3 - 4*s**3 + s**3) to the form b*s**4 + d*s + m*s**3 + o + k*s**2 and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*j**5 - 3*j**3 + j + 40?\nAnswer: -700*j**3 - 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1008) + (0 + sqrt(1008))*-4).\nAnswer: -72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/25, 1, 2, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1883 and -2.07455.\nAnswer: 3906.37765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2076*a - 33*a**3 + 19*a**3 + 560*a + 293*a**3 wrt a.\nAnswer: 1674*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 592625 and 1185249\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m**3 - m**2 + 3*m - 2. Let y(p) = -p**3 + 1. Determine -2*r(d) - 4*y(d).\nAnswer: 14*d**3 + 2*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1408, -1410, -1412, -1414, -1416, -1418?\nAnswer: -1420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -35*i**2 - 8*i + 150. Let h(x) = 12*x**2 + 3*x - 50. Calculate 8*h(u) + 3*s(u).\nAnswer: -9*u**2 + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2710245, 5420495, 8130747, 10841001?\n\"Answer: y**2 + 2710247*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4617*g - 4631*g = -294. Solve 3*u + g = -u - q, u - 2*q + 3 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*x**3 + 19*x**3 - 3*x**4 + 2 + 4*x**4 + 23*x**3 - 4 - 8*x**2 in the form d*x + j*x**3 + k*x**2 + u*x**4 + a and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45085795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 2*g + 15 = 0, -g + 112 - 60 = -5*h + 65 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8878\/17 greater than -521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kgik when four letters picked without replacement from mmkmgwxkkikk.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 0*o + 5\/24*o**4 + 0 - 1\/12*o**5 - 28*o**2 + 5\/3*o**3. Solve u(l) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + ((sqrt(704) - (sqrt(704) + -1)*1 - sqrt(704))*-5 + 2 + 0 + sqrt(704)*-1)*-3)*1)**2.\nAnswer: -2304*sqrt(11) + 101520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g**2 - 2*g + 1. Let c(k) = 14*k**2 - 5*k + 3. Determine 4*c(h) - 11*n(h).\nAnswer: h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(-11\/8)))\/b*(b\/b**25)\/b*b*((b*b\/(b*b**(-1)*b))\/b*b)**(-2\/21) assuming b is positive.\nAnswer: b**(-4447\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 - 46. Suppose -2*i + 25 + m = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a day in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 0*x - 1\/6*x**3 + 0 - 1\/8*x**4 + 2*x**2. What is h(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 6. Suppose -4*d - 29 = -5. Let f be m(d). Suppose -5*h = 2*v + v - 34, -h - 2*v + 4 = f. What is the smallest common multiple of 20 and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/11)*o*o)\/o**(-4\/3)*(o**(3\/7))**(6\/19) assuming o is positive.\nAnswer: o**(16022\/4389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 22 + 7*o**2 + (-o**2 + o**2 - o**2)*(4 - 1 + 2) - 36*o**2 - 12*o**2 - 24*o**2 in the form j*o + i*o**2 + t and give i.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 2. Differentiate 7*w**4 - 3 - 1 + g*w**4 wrt w.\nAnswer: 52*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11262 is divided by 1412?\nAnswer: 1378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 273168899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1067772 or -1067771?\nAnswer: -1067771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -71*w**7\/42 - w**3 + 46*w + 49. Let n(g) be the first derivative of x(g). Find the second derivative of n(v) wrt v.\nAnswer: -1420*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.3 + 7. Let n = -181\/246 - -37\/41. What is the third biggest value in l, -5, -3, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420 + 1154 = -53*w - 591 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8140843*-14.\nAnswer: -113971802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 421250543 - 5?\nAnswer: 421250534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 0 + 5*o + 3 - 7*o. Let l(g) = -g**2 - 4*g + 1. Let h be l(-3). Calculate v(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 26509455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 7. Suppose -2*v - 36 = -2*l, -5*v + 0*v - x = -l. Suppose -g - 2*g = -4*p, 4*g = -p + l. Solve -a = 4*i + 13, -p*i + 1 = -4*a + 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(288)\/sqrt(768))\/(sqrt(24)\/sqrt(2)*6).\nAnswer: -5*sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 11. Let h be d(-6). Let t(u) = -u**2 + 5*u + 5. What is the least common multiple of t(h) and 1\/(-5) - 77\/(-35)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3be0f (base 16) to base 4.\nAnswer: 323320033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -361, -721, -1081, -1441, -1801, -2161?\n\"Answer: -360*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4\/3471813 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41162.831499 - 41143.813. Let t = a + -19.02. What is t rounded to 5 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -14 (b) 1 (c) 4 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 227532761800 less than 3?\nAnswer: -227532761797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10576189*8\nAnswer: 84609512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 0.5, 287\/6, 57?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (33 + -10 - 34) + (36 - 1)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**8\/2016 - b**7\/315 - b**6\/144 - b**5\/180 + 4*b**2 + 11*b. Let x(k) be the first derivative of w(k). Factor x(r).\nAnswer: -r**2*(r + 1)**2*(r + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/35 in -154\/73, -0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49271 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + p + p, 9 = 3*f - 3*p. Let t(b) = 3*b - b - f*b - b. Let q(l) be the second derivative of l**4\/12 - l. Give q(t(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**3 - 248691 + 124284 + 2*c**2 + 124294 - 3*c + (2*c - 3 + 3)*(0*c**2 + 0*c**2 + c**2) in the form r*c**3 + v*c + j*c**2 + q and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 2*c - 2. Let o(h) = 5*h**3 + 28*h**2 + 10*h + 11. Determine 4*m(a) + o(a).\nAnswer: 5*a**3 + 36*a**2 + 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1762, 3538, 5330, 7138, 8962?\n\"Answer: 8*u**2 + 1752*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 7276193*g. Let m(z) = 2*z**2. Calculate t(m(q)).\nAnswer: 14552386*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -395 divided by 18?\nAnswer: -395\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*(m\/m**(-2\/11))\/m))**(-45)*(m\/(m**(-2\/7)*m)*m)**34 assuming m is positive.\nAnswer: m**(3996\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1643 - 340024?\nAnswer: -341667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.2 - 0.2. Let t = 25.27 + -0.27. Let z = t + -25.5. What is the closest to l in -2, -2\/5, z?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23 and 1.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbb. Give prob of sequence bbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*r - 5 = 0. Let b = 9 + r. What is the second smallest value in b, -0.4, -3\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4044 + 1238 - 87 + 485)*(-u + 6*u - 3*u) in the form d + m*u and give m.\nAnswer: 11360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 53 + 0 - (0 - 1). Suppose -3*d - 836 = -22*d. Let r = x - d. Calculate the lowest common multiple of 8 and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2380 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -90 + 61 - (-12 - 58)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -13*b. Let y(m) = 359248*m. Calculate y(n(g)).\nAnswer: -4670224*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41788801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 31.65413 kilograms?\nAnswer: 31654130000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00040633879 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-117 - -54) + 37 + -8?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 8 = -4*j, -3*n + 73*j = 70*j + 12. Let x = -8.1 + 8. Let g = 0 + 0. Which is the closest to -2\/3? (a) g (b) x (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**3 + 4*b - 3. Let r be o(2). Let l = -5.8 + 5. Let p = -0.2 + l. Which is greater: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -4229?\nAnswer: 1\/4229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/49 - -67\/882. Let b(d) be the third derivative of d**2 + i*d**4 + 1\/180*d**5 + 0*d + 0 + 2\/9*d**3. Factor b(y).\nAnswer: (y + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*j*v**2 + 9*j*v - 9597888*j + 192753*v**2 + v - 2 wrt v.\nAnswer: 14*j*v + 9*j + 385506*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 532 is divided by (4 - (-49)\/(-4))\/(3*(-3)\/96).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -41*t + 0 + 3\/2*t**3 - 2\/5*t**5 + 2*t**2 - 1\/3*t**4. Find the second derivative of r(f) wrt f.\nAnswer: -48*f - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43803 or -306620\/7?\nAnswer: -43803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + r**2 + 4*r - 3. Let c be w(3). Factor -c*j**4 + 16*j**2 + 19*j**4 + 22*j**4 + 4*j**3 - 16*j.\nAnswer: -4*j*(j - 2)*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -33.13 and -0.05.\nAnswer: -33.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(396)*-2)\/((sqrt(144)*-1)\/sqrt(12) - sqrt(12)))\/((1*sqrt(2160))\/(sqrt(45) - (sqrt(45) - sqrt(45)*-2))).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/1100 and -12\/4745?\nAnswer: 1043900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.4 + -34.4. Let a = 38 + s. Which is greater: a or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(320))*-5 + 2*sqrt(320)*3 + -5 + (sqrt(320) - (sqrt(320) + -1)*5) + -2)**2 + -4.\nAnswer: 816*sqrt(5) + 3165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**3 - 13*l**2*p - l*p - 30*l + 64347*p with respect to l.\nAnswer: 3*l**2 - 26*l*p - p - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, 0.11296, -9 in ascending order.\nAnswer: -9, -6, 0, 0.11296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ziaiaiiaaaz. What is prob of picking 2 z?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184719 is divided by 646?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 39*n**3 - 4*n**2 - 3*n - 1. Let j be o(-2). Let q = 169 + j. Is 13 a factor of q\/(-4) - 7\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140\/20*3*4\/126?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l + 33*l**3 + 3*l**2 + 35*l**4 - 3*l**2 - 32*l**4 + 2 - 27*l**3 to m*l + c*l**3 + d*l**2 + g + k*l**4 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1696297, 3392588, 5088879, 6785170?\n\"Answer: 1696291*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 547405 and 67.\nAnswer: 547472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 10. Let m be (-8)\/z + 2196\/(-30). What is m rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from ayayy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377 = 587*m - 558*m. Let v(l) = -2*l + 35. Give v(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l**2 - 5*l**2 - 2*l**2)*(25 + 25 + 0)*(-2*l - 2*l + 3*l) to s*l + b*l**3 + g + j*l**2 and give b.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 32\/5 of a hour?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-5 + (0 - 3)) - (-22 + 45)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 126 = -4*l + 115, 0 = 2*l + 4*t + 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -31 + 22 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5118.9996 - 5120. Let q = o - -0.0704. What is q rounded to two dps?\nAnswer: -0.93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 288 = 33*m. Suppose -m*f = 3*f - 270. Calculate the highest common divisor of f and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11236 + -3346. Does 30 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 0)*(8 - 2). Suppose 0 = -10800*k + 11028*k - 22344. Calculate the highest common factor of p and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*4755\nAnswer: -1426.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*r + 665821, -4*r - 69*l + 71*l + 1331714 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22384 and 7319568.\nAnswer: 7319568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42902.\nAnswer: 2, 19, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16 - 0)\/((-5)\/10). Is 3102\/8 + 1 - (-8)\/z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1201204*j**4 + 1106 + 68 + 531 - 1202623*j**4 wrt j?\nAnswer: -5676*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)*-3*2)\/sqrt(11).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*o - 49*o + 15 = 55*o, 58 = 4*r + 2*o for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, 1\/78, 7, -0.5, -0.03?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/11 - (-1 - 1). Let u be 81\/(-15) - 6\/(-15). Let p = 6 + u. Which is greater: p or f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1782 is divided by 256?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**2 + 347*b + 654 wrt b?\nAnswer: 2*b + 347","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 20 = -36. Factor 0 - 2\/7*w**3 + 2\/7*w**h + 4\/7*w.\nAnswer: -2*w*(w - 2)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108710 to the power of 1\/2, to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 1:45 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1340556 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1202 (base 6) to base 4\nAnswer: 10202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -6 (c) 16.3 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(114)*-4*-2)\/(sqrt(216) + (sqrt(216) - (sqrt(216) + sqrt(216)*2*-5)) + (sqrt(216) - 6*sqrt(216)*1)).\nAnswer: 4*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1820 + -1809. Let y be 78\/8 - 5\/(-20). Suppose 7*c - y = k. Solve 4*i = -2*t + 12, t + 9 = c*i + 5*t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -25\/12*m**4 + 23*m + 2*m**5 - m**2 + 0*m**3 + 2. What is the third derivative of j(w) wrt w?\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-9)*c)\/c**(-7)*c**0\/c**(3\/5)*(c**(-1))**(3\/5)\/(c*(c**(1\/5)*c*c*c)\/c)**(-1\/70) assuming c is positive.\nAnswer: c**(-202\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-57)\/2*(-16)\/12. Suppose 4*w = -3*k + 6*k - v, 3*k - 3*w - 33 = 0. What is the tens digit of 1166\/12 - 1\/k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -878*j - 262*j + 60*j - 1049*j + 4*j as g + h*j and give h.\nAnswer: -2125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 10. Suppose -4*w - 176 = -r - 586, 0 = 4*w - 5*r - 402. Suppose -w*p = -97*p. Give b(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 10*f + 12. What are the prime factors of s(-14)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i**3*m*u**3 - 77480*i**3*m + 130*i**2*m*u**3 - i**2*m*u + 2*i*m*u**3 + 469*m wrt i?\nAnswer: 18*m*u**3 - 464880*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7241715009 from 56.047.\nAnswer: 7241715065.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72748*f**2 + 90423*f?\nAnswer: -145496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8529 is divided by 94?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 261949 not equal to 261950?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -371.98 + 372. Let g = 6 - 2. What is the third smallest value in -1\/2, g, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11*7\/14)\/(((-1394)\/(-680))\/41).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + o - 2. Let b(k) = 2*k + 3. Let u be b(-2). Let x be u\/(3\/(-6)*-1). Let w be (3 + x)*(-2 + 0). Calculate r(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 125, 176, 265, 392?\n\"Answer: 19*q**2 - 6*q + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 800 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -183, 2, -98, 1\/5?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/4*1210)\/1. Suppose -9*q + k = -4*q. What is the highest common divisor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 8*j**2 + 8*j - 7. Let z be g(7). Suppose 2*l - 11 + 1 = z. Suppose -l*m = -14 - 46. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-4) + (-22)\/(-5) and 67\/38?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -888*y - 29075 = -913*y. What is the third biggest value in -3, y, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -12?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2336\/51 (b) 5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1640951 is divided by 429?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -36*l + 122. Solve 0 = 5*p - 3*b - 31, 5*b + 13 + 12 = l*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6, -33, -112, -231, -390, -589, -828?\n\"Answer: -20*z**2 + 21*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 1:08 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/4 (b) -4 (c) 0.1 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(3 - -3 - 3). Suppose -4*j + c*g = g - 13, 3*j - 1 = g. Solve j*z + 10 = -3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/976416644 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.019819 * 816.\nAnswer: -16.172304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, w: 1, z: 11, e: 1, j: 1}. What is prob of picking 1 t, 1 w, and 2 z?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 259 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6272, -11632, -16992, -22352, -27712?\n\"Answer: -5360*p - 912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*g + 1768 = -500. Suppose 3*u - 2513 + 593 = 0. Let h = u + g. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 310*l**2 - 81*l**2 + 187*l**2 + 0 + 0 to the form h*l + w + g*l**2 and give g.\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/8 + 195*s**2\/4 - 783*s\/8 + 49.\nAnswer: (s - 1)**2*(s + 392)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 + -35 - (-9492)\/(-2 - -5) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(832) - (2 + sqrt(832) + 1))**2 + -1)*-4 + 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 883, 0.1, 0, -1\/4, -0.01?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/22 and -43\/1818.\nAnswer: 19998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a century in years?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 714a - -5?\nAnswer: 7152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 13. Do j and -6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 2*u**2 - 3*u - 1. Let q be a(-2). Let s(j) be the second derivative of j**5\/10 - 5*j**4\/12 - j**3\/3 + 2*j**2 + 2*j. Is s(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + 2. Suppose -y*v = -15*v + 36. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3\/5, -4, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19397035.\nAnswer: 5, 7, 383, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 1305*x**2. Let y(r) = -1499*r. Determine t(y(i)).\nAnswer: 2932336305*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 2*p + 2. Suppose 2 = u - 2, 4*u - 8 = -4*i. Let k(g) = -20 + 55 - 22 - 3*g**2 - 19 + 7*g. Determine i*k(s) - 7*f(s).\nAnswer: -s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a kilometer in meters?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 12:56 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/524 + 6493\/9956. Let s be (-1710)\/5 + (-18)\/(-6) + 2. Let m = -6067\/18 - s. Calculate the common denominator of c and m.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 93, 208, 391, 654?\nAnswer: 1009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.026 - 0.026. What is the nearest to a in -2\/7, 1, 0.09?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 533 = -3157. Suppose -2*o - b = -2412. What is the hundreds digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**6\/120 - 2*x**5\/15 + 5*x**4\/24 + x**3 - 3*x**2. Let l(r) = -r**3 + 5*r**2 - 3*r - 4. Determine 5*b(i) + 8*l(i).\nAnswer: -3*i**3 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3587234 a multiple of 1246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3823 - -3867. Calculate the remainder when 3006 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/((3\/(-7))\/(-3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9 + -9)*1\/(-2). Let r(q) = -3*q**2 - q. Let f be r(m). Suppose t + i - 1 - 5 = f, 5*t - 4*i = 21. Solve -16 + 1 = -t*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30551389 to the power of 1\/3, to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 27*y + 128. Let u be q(-21). Let o be (-3)\/(u + (-466)\/226)*1. Which is smaller: 47 or o?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153272 is divided by 108.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/53, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**5\/5 + 42*s**4\/5 + 54*s**3\/5 - 756*s**2\/5 - 243*s\/5 + 3402\/5 = 0. Calculate s.\nAnswer: -3, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 461, 466, 471?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*t**4 - 23*t**4 - 3 - 18*t**4 + 2*t - 8*t**2 - 33*t**4 + 81*t**4 to y*t**3 + h*t**2 + v + s*t + i*t**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.136 + 0.02. Round c to 2 decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 4. Let o be v(6). Suppose j - 24 = -5*g, -g + 6*j = j - o. What is the biggest value in 0.2, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66 - -35. Let j = k - -39. Calculate the smallest common multiple of j and 30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*c + 3080061 = 3*v + 137*c, 4*v - c - 4106728 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1011315 is divided by 1011030.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -4*h, -2*h + 9 - 33 = 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -1\/4 (c) 0 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 16. Suppose i*c = -4*c + 20. Solve -5*s - 5 = -r, c*r + 4*s - 3 = -36 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 divided by 115\nAnswer: 52\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 22. Let k = -2.706 + 2.406. What is the biggest value in k, 2\/3, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = p - 945. Let f = p - 311. Let z = 4327 - f. What is z rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (-7 + 2)) + -1 + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 6 = 3*l, -2*a = -0*l + l - 4. Suppose -7*h = a*h - 60. Suppose 0 = -h*y + 2*y. Solve -3*c + 4*c - 4 = y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1598 and 188?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by (87 + -30)*2\/6*2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-111 - -78) + 18 - -62?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-35)\/(-7))\/25)\/(37\/(-592)*-4).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 + 6*d**2 + 0*d**2)*(5*d**3 + 11*d - 11*d) + (5*d**4 - 3*d**4 + 0*d**4)*(-2*d + 0*d + 4*d) + 0*d**5 - d**5 + 3*d**5 - d**5 - 2*d**5 + 5*d**5.\nAnswer: 18*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 23 = g. Calculate the remainder when 51 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220796?\nAnswer: 2, 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395*r - 2 + 172*r - 943*r.\nAnswer: -1166*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -2183 and -2\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112 + -3?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33502, 32372, 31242, 30112, 28982?\nAnswer: 27852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 10:49 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 19*q**6\/30 + 115*q**2\/2 - 2*q + 5. Differentiate v(b) wrt b.\nAnswer: 76*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of 46939*c**4\/4 + 2*c**3\/3 - 5*c**2\/2 + 2*c. Let k be q(-7). Round k to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17039 is divided by 127?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27*v**4 - 21*v**2 + 20*v**2 + 91 + 1 + 70*v**4 wrt v.\nAnswer: 172*v**3 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/(-198))\/(4\/(-6))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*(sqrt(175) + 0 + sqrt(175)) + -2 + -4*(-1*sqrt(175) + 4)*-2)**2.\nAnswer: -4200*sqrt(7) + 26425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + y - 2 = 0. Let r be -15*y*(-4)\/3. What is the units digit of ((-16)\/(-10))\/((-8)\/r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 + 37. Let w = 2\/3 - 16\/15. Which is the closest to w? (a) 3 (b) h (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/19, -2, -0.094, 0.07?\nAnswer: -0.094","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88065.\nAnswer: 3, 5, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21, 119, 323, 687, 1265, 2111, 3279?\n\"Answer: 9*a**3 - a**2 + 38*a - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 191, 280, 367, 452, 535?\n\"Answer: -d**2 + 92*d + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 60\/(-42))\/((-4)\/14). Suppose 3*a + 4*z = 37, 16 = -5*a + 5*z + 136. Suppose 6 = 3*k + 3*h, 5*k + h = -1 + a. Solve 0 = n*m, t - 3*m = k*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 1)*(-204*b + 204*b - 4*b**2) + 10*b**2 - 7*b**2 + 8*b**2.\nAnswer: 23*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnurrenue. What is prob of picking 1 e, 1 u, and 1 n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -1, 302, -778, -6, -2 in increasing order.\nAnswer: -778, -6, -2, -1, 0, 1, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 57989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*j + 0 - 27*j - 26*j + 18*j + 4*j - j - 6*j - 3 + 3 - 2*j + (0 - 1 + 3)*(0*j + 0*j - 2*j).\nAnswer: -46*j","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Convert 6.832522 centimeters to kilometers.\nAnswer: 0.00006832522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5554183 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xujj when four letters picked without replacement from {u: 1, j: 2, p: 2, x: 1}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1658988 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 - (-39 - 21 - -22).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5*i - 10 = -39, -5*f + 4*i = -89. Let d = 13 - 18. Let j be ((-4)\/2 + -1)\/(3\/d). Solve -j*x + 0*x + o + 29 = 0, -x + f = -3*o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/36*2*(-4)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 10*q**3 + 2*q + 1. Let i be d(2). Let s = i - 51. Let k = 7 - -10. What is the greatest common divisor of s and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 2*m**2 - 2*m - 3. Suppose 5*g = -2*d + 5 + 11, 2*d + g - 8 = 0. Suppose 9*l - d*l = -12. Give a(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 5*r**2 - 9405*r + 3015550 = 0?\nAnswer: 410, 1471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -2 + 4 + (-13 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 119179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*f + 3*t, -2*f - 8351*t = -8352*t - 43. Solve f*s - 6 = 31*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68 + 70. Suppose -68 = p*o - 62. Let d be 5 + -7 - (-3 + o). Solve 4*n = 2*q - d, -n + 0 = -5*q + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**4 + 26*x**4 + 5*x**4)*(-2 + 3 + 3).\nAnswer: 132*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1033, 961, 833, 649, 409, 113, -239?\nAnswer: -647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - i + 28, -2*i + 20 = -4*p - 0*i. Let s be (-1)\/1 - (p + (2 - 3)). Solve v - 1 = -s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*2\/(-18)*(-39)\/(-52).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/163059 and -82\/111111?\nAnswer: 12555543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f + 27. Let n be h(8). Suppose 0 = 4*i - j - 14, 2 = n*j - 4. Solve -6 = 3*l + p - 4*p, -5*l = i*p + 19 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/5*(2 - 5)*15. Let u(w) = -6*w**2 + 55*w - 8. Let g be u(p). Suppose 5*x + 70 = -10. Is x != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35921652827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 l when four letters picked without replacement from {l: 4, p: 1, b: 1, x: 2, s: 1, m: 3}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*s**2 - 16 - 10*s**2 - 4*s - 11)*(-2*s**2 - s + s).\nAnswer: -4*s**4 + 8*s**3 + 54*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kfb when three letters picked without replacement from {n: 5, f: 7, k: 1, b: 3}.\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000 (base 3) in base 12?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -21. Let w = 0.35 + -0.75. Which is the closest to 4? (a) 3 (b) t (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**2 + 2*w - 2. Let f(k) = k**2 - k + 4. Give 3*f(h) + 2*o(h).\nAnswer: -3*h**2 + h + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times 19?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -55*v**2 - 205*v + 2. Calculate r(-5).\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1786859 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 - -19. Let u = h - -4. Let o = u + 69\/2. Which is the third smallest value? (a) 0.04 (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-seven quarters of a micrometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 61182 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001110 (base 3) in base 16?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 207443153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 23. Suppose -29 = -l*m - 5. Factor 0*g**m + 5*g - 3*g**3 - 14 - 2*g**3 - 10*g**2 + 24.\nAnswer: -5*(g - 1)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**4 + 3*w**4 + 0*w**4 + (0*w + w - 2*w)*(0*w**3 + 0*w**3 + 2*w**3) - 4 + 4 + 4*w**4.\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12595 and 4580.\nAnswer: 50380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5098548 and 25480?\nAnswer: 50985480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -19*t - 2. Let i = 81 + -83. Let x(b) = 76*b + 9. Let c(q) = i*x(q) - 9*u(q). Give c(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 10*b**2 - 8*b - 12. Let x be n(-11). Let u = x - -16. Let c = u - -28. Sort 0, c, -4 in decreasing order.\nAnswer: 0, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 134 + -130. Suppose q - j + 6 = 4*j, -w*j + 4 = -q. Solve 4 = -2*f - 2*t + 2, q*t = -2*f - 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = i - 123, -i = 2*i + 5*v - 335. Let x be (-450)\/i + (-1 - -5). Which is the nearest to -1? (a) 4 (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -2*l + 2, -l - d = 4*d - 23 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 406997 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-10 - -3) + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33*a**4 + 7*a**2 - 2133.\nAnswer: -132*a**3 + 14*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 560?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108\/24)\/((-18)\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.7076245 rounded to three decimal places?\nAnswer: 50.708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 7:33 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/q**(-1)))\/q)**(5\/4))**(1\/45) assuming q is positive.\nAnswer: q**(-1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0786 minus -4856189?\nAnswer: 4856190.0786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + -12957.\nAnswer: -12956.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1675 and 4175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*o**4 - 5852336*o**3 + 2547458*o**2 - 1.\nAnswer: -72*o - 35114016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, h: 1, r: 1, o: 2, t: 1, i: 1}. What is prob of sequence oth?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/3009 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 - 2*p**2 + 16*p**2.\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v**3 - 6*v**2 + 5*v - 7. Let l(r) = 3*r**3 - 3*r**2 + 3*r - 4. Suppose -8 = 5*b - 3*b. Let y(g) = b*x(g) + 7*l(g). Determine y(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273103472.\nAnswer: 2, 23, 137, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.37 (b) 3 (c) 1 (d) 0 (e) 1\/5 (f) -0.95\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14464305 (base 7) to base 15.\nAnswer: 1c314c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 7*g**2 - 7*g + 17. Let u be j(-5). Solve 6*c - 19 = -u*f + 3*c, -f - 7 = -4*c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**4\/12 + 3*g**3 - 22*g**2. Differentiate m(y) wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4346.324 minutes in milliseconds?\nAnswer: 260779440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 5*h + 5476 = 5440, -38 = 4*d + 7*h - 2*h for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - 1.8. Sort w, -0.2, 6.\nAnswer: w, -0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -313? (a) 1 (b) -0.5 (c) 1\/3 (d) 5 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q**4\/q)\/q)\/q**(-1\/13))**(33\/4))**44)**(-2\/47) assuming q is positive.\nAnswer: q**(-19602\/611)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, x: 4, s: 10}. Give prob of sequence sx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 39 = t. Let k = t - -16. What is i in 16*i - 312*i**2 - 704*i**k - 4394*i**4 - 543*i**3 + 1504*i**3 + 1771*i**3 = 0?\nAnswer: 0, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m + 78 = -48 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 16 = 4*m + c, 0 = 4*m - 2*c - 16. What is the common denominator of (59\/(-3))\/(m\/3) and 6\/4 - 85\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*w - 337 + 103. What is the second derivative of -17*c**4 + c**3 - 18*c**4 - 16*c + w*c**4 wrt c?\nAnswer: -264*c**2 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.2157 (c) 4 (d) 4\/5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3791606256 to the power of 1\/3, to the nearest integer?\nAnswer: 1559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**3\/2 + 7*v - 2. Let a(u) be the first derivative of b(u). Let j(q) = -3*q**2. Determine j(a(t)).\nAnswer: -27*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rnii when four letters picked without replacement from rriinrbirr?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 150 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 552?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 - 102. Let u be (-98)\/(-34) + (12\/i)\/(-2). Let v(c) = -c**3 + 2*c**2 + 4*c - 5. Let d be v(u). Sort d, -5, -1.\nAnswer: -5, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**4\/5 - 347*r**3 - 5187*r**2\/5 + 3123*r + 46764\/5 = 0.\nAnswer: -1732, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-12) + 5\/(-30). Let w be 3\/(-1 - -2) - f. Let z(b) = -16*b - 1. Let a be z(-1). What is the greatest common factor of a and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**9\/126 - v**7\/35 + 137*v**6\/120 + 334*v**5\/5 + v**4\/24 - 8550*v**2. What is the third derivative of c(s) wrt s?\nAnswer: -480*s**3 - 144*s + 822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47668135 to the power of 1\/3, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**3 - 630*f**2 + 952*f - 318 = 0 for f.\nAnswer: -159, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**4 - 14549*h**3 + 203866*h**2 - 233104*h - 1398048 = 0. What is h?\nAnswer: -14563, -2, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*40\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 2:21 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 12*t + 70. Suppose -t*d = d + 22. Let c = 7 - 9. Is c < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1643? (a) -501 (b) 1\/4 (c) -0.4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 6*r + 3*r)*(-2*r**3 + 0*r + 0*r) + r**4 + 0*r**4 + 0*r**4 + (-r**2 + 0*r + 0*r)*(r**2 - r**2 - 2*r**2).\nAnswer: 5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cipfcmi?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -148 + 385. Let b = y - 157. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -138325.\nAnswer: -24\/138325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 + 3.5. Let h = 7 - s. Let o = 0 + h. What is the biggest value in o, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-20)*(-75)\/33.\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4 = 10*q - 6*q, -2 = 2*q - h. Suppose -4*u = -2*b + 8, -4*u - u = 5*b + 10. Let y = q - b. Sort 4, 5, y in ascending order.\nAnswer: y, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 66 = 7*x - 2*f, -3*x - 5*f = -66. Let u be 5 + 0 + 11\/x*-2. Solve -u*k - 5 = -17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nd when two letters picked without replacement from {n: 1, b: 1, d: 1, c: 1, r: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 5, -16, 4, 3, -45 in decreasing order.\nAnswer: 65, 5, 4, 3, -16, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 28*p**3 + 17 - 27 - 14*p**3.\nAnswer: 14*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5185511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 0*s + 2*k + 7 - 33 - 15 = s, -269*s - 203 = 3*k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.179 + -0.079. Let g = f + -6.1. Which is the nearest to -2? (a) -1\/4 (b) g (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/13)\/b**(2\/5))\/(b**0*b)**(3\/10))\/(b**(-1)\/(b*b*b**5\/b)*((b*b*b\/(b\/b**4*b)*b)\/b)\/(b*(b\/b**(-2\/7))\/b*b)) assuming b is positive.\nAnswer: b**(3403\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 36.774. Let o = 36.81 - 37. Let m = b - o. What is m rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + 12*t - 3*t - 7*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*k*n**3 - 1256*k*n**2 + 3*k*n + 2*k - 387*n wrt n.\nAnswer: 18*k*n - 2512*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.3346281 to 3 dps.\nAnswer: -38.335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-1))\/(6\/3))\/(2\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/6 - 7\/(-2). Suppose 0 = -q*w - t + 16, -5*w - 4*t + 20 = -6*t. Suppose 9*m - w*m - 30 = 0. What is the remainder when 17 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 + j**2 + 6. Is 14 a factor of b(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -2, 2, -4 in decreasing order.\nAnswer: 2, -2, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/7)\/(9\/252*-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145780?\nAnswer: 2, 5, 37, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 260294925 to the power of 1\/4, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24*x + 3*x**2 - 18*x - 36 + 13*x wrt x.\nAnswer: 6*x - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*((-20)\/75 - 8\/(-20)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33 + 33*k - 33)*(-53 + 18 + 4)*(-13*k + 13*k - 6*k**3) to o*k**4 + p + v*k**2 + t*k**3 + d*k and give o.\nAnswer: 6138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2889 - 1965 = -6*y. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -0*m + 388. List the prime factors of m.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3301028127 to the power of 1\/2, to the nearest integer?\nAnswer: 57455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2394?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/(-945))\/((-20)\/(-35))*(-15)\/(-40)*-2.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 2:53 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 9*c**2 + 2*c - 2. Let h = -4 + 6. Let n be h\/(-3) + (-16)\/12. What is the units digit of z(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/14)\/(((-8)\/70)\/((-240)\/210)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1177)\/(-1498) + (6\/15 - (-48)\/(-70)). Let b(z) be the first derivative of -28 + 0*z - v*z**2. Let r(a) = 7*a**2. What is r(b(j))?\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 7*p**2 - 2*p + 12. Let z be n(7). Let m be (z - -7)\/(2 + -1). Solve 5*g = 2*k + 10, m*k - 2*g = 3*k - 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + -4 + ((-31)\/(-5))\/(4\/4). Find x, given that 0 + 0*x - 6\/5*x**2 + a*x**3 = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 24*h + 52, 10*h - 9*h + 14 = -3*z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 7. Let z be h(-3). Let j be (-3)\/2*z\/33. What is the second smallest value in 5, j, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.567 + -4.23. What is g rounded to two decimal places?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1136199*q**3 - 31*q**2 - 3*q + 2142?\nAnswer: -6817194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -0.2604?\nAnswer: -0.3604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13903510877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2888 + 2887.6. Sort p, 3, -3\/8, 2 in descending order.\nAnswer: 3, 2, -3\/8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - -0.5. Suppose 0 = 4*h - 3*n + 398, -2*h - 2*n - 225 = -33. Let z be (7\/h)\/((-1)\/4). Which is the nearest to -0.2? (a) z (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 86*u - 93*u. Let n be 4\/(-6) + u*4\/8. Factor -4\/3*b**3 - b**2 + n*b + 0.\nAnswer: -b*(b + 1)*(4*b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -188054 divided by -188054\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*o - 119*o = -6840 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -82564887 greater than -82564888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (21\/6)\/7 - 1\/2. Let u = 24 + -21. Let h(l) = -16*l**u + 3*l**2 - 18 + 15*l**3 - l - 2*l**2. What is h(o)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229*k + 323*k - 175*k = 10954866. Is 129 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-42))\/((-6)\/5*-5)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbdbbngdg. What is prob of sequence bgb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -16*d - 190. Calculate r(-13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 7*w**2 + 17*w + 25. What is the units digit of g(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 275 - 1?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2116548 = 9142*t - 9184*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -17.2. Let b = -1.5 - l. Sort -4, b, 0 in ascending order.\nAnswer: -4, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h - 328 = -4*o, 39*h - 54 = -o + 35*h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnbd when four letters picked without replacement from ndbbbnsbbsdpsddbbs?\nAnswer: 7\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59 and 22656.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -14500*j**3\/3 - 6*j - 5. Let z(a) be the first derivative of q(a). Let o be z(-10). Round o to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -18*h - 87, -448*h = -453*h - 4*l - 32 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 - 249 - 782*i**3 + 200.\nAnswer: -782*i**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*b - 3\/2*b**2 + 0.\nAnswer: -3*b*(b - 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2677 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 6*d + 16. Give u(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 693776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6166 is divided by 681.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*d - 64*d + 19*d - 4 + 6 in the form i + q*d and give q.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1182 = 4*b + 1158 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 331*o - 23636. Give u(108).\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25517 is divided by 80.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 57*b - 454. Let l be p(8). Solve -l*c - 2*u = 4, -5*c + 3*u = -7*c - 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 24. Let k = z - -11. Let g = 4146 + -4141. Sort g, k, 3\/5 in decreasing order.\nAnswer: g, k, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 10) to base 9.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2166d0 + -4?\nAnswer: -2166d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/2 or -7093?\nAnswer: -7093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -ae (base 15) to base 3\nAnswer: -20002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 270610.9412 to the nearest one thousand.\nAnswer: 271000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f**4 - 24*f**3 + 24*f**3 - 2 + (2 - 2 - 8*f)*(0 + 2*f**3 + 0) to d*f**2 + b + n*f + w*f**4 + y*f**3 and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.05 + 0.05. Let p = 24.53 - -0.47. Let c = 24.9 - p. What is the nearest to c in 4, u, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17172969, -34345936, -51518903, -68691870, -85864837, -103037804?\nAnswer: -120210771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - g, -4*o - 2*g + 0*g - 8 = -7*g + g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-64)*-6 - 30\/104. Let x be (-4)\/14 + 295\/273. Let f = x - j. Find the common denominator of f and -59\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181 + 1285*w - 197*w - 580.\nAnswer: 1088*w - 761","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 2*h + h)*(-2*h**2 + 2*h - 2*h) + 3 - 3 + 3*h**3 + 2 - h**3 - 2 + (-2 - h + 2)*(-2*h**2 + 0 + 0).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*i - 1. What is the units digit of -14*i\/4*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 175 = 165. Which is greater: o or -341?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 8) in base 10?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -21*o**3 + o**2 + 19*o - 38. Calculate i(2).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 28*o**2 + 12*o + 9. Is y(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8*(-4 - 2) + -5. Let a(h) = -121*h + q*h + 53*h + 54*h. Let g(n) = 2*n. Calculate g(a(b)).\nAnswer: 58*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 32 + -35 + -4 + -5 + -1 + 2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12886, 25756, 38606, 51430, 64222, 76976, 89686?\n\"Answer: -g**3 - 4*g**2 + 12889*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 4:56 PM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -h**4\/4 - h**3 - h**2\/2 + 20*h + 21. Let i be g(0). Suppose 5*r = i*r. Solve 5*o + y + 15 = r, 3*o - 21 = 7*o - y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from znzknkzkdznnkd?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144961?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k - 11. Let h(i) = -i - 49. Let t(a) = 2*a + 136. Let f(x) = 11*h(x) + 4*t(x). Determine -13*f(d) - 6*r(d).\nAnswer: 9*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 104 + 101. Suppose 3*u = -2*w + p, -2*u - 2*u = -5*w - 304. List the prime factors of u.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, i: 12, j: 5}. What is prob of picking 3 j and 1 i?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -0.01170527?\nAnswer: 3.01170527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 2:44 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/10 - -1) + (-21)\/(-127 + 22). Let c = 13 - 8. Solve -4 = l - 4*l + c*m, 4*l - m - 11 = z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 9:39 AM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 83 = 7*l, 373*x + 22 = 377*x - 3*l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x - 3759 + 3546 + x)*(-x**3 + 3 - 3) - x**4 - x**4 + 0*x**4 to the form m*x**2 + l + g*x**3 + z*x**4 + j*x and give g.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 169.47593984 + -167.47594. Let g = -2 + w. What is g rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129589169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 181 - 180. What is the third smallest value in u, 2, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vhv when three letters picked without replacement from vhhvhh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22021132113 + 2?\nAnswer: 22021132121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 88\/3 + (5 - (-130)\/(-30)). Let d be ((-1)\/5)\/((-102)\/c + 4). What is the second biggest value in -8, 2\/3, -0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 188 = 412. Let z be ((-3)\/12)\/((-2 + -2)\/y). Solve z = -3*h + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, p: 1, q: 1, w: 1, o: 1}. What is prob of picking 1 q and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d = 4*b + 7*b + 96, 9*d - 2*b + 130 = b - 7*b + 37 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/15 (b) -3 (c) 1 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 249506 + 249537 = -s, -25 = 5*s - 2*l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)\/(-2*sqrt(5)))\/(sqrt(4374)\/sqrt(6)) + -2.\nAnswer: -2 - sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101 + 201 - 45*j - 101)*(3 - 7 - 5)*(3 + 0 + 0 - 2 + 3 + 1 + (-4 + 1 + 0)*(-1 - 2 + 1)).\nAnswer: 4455*j + 99","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 2:14 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 27\/4 - 39\/2*c - 3\/4*c**4 - 9\/2*c**3 + 18*c**2 = 0. What is c?\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpq when three letters picked without replacement from qpqnnqnpqnqqqnn.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubouokuuulllou. What is prob of picking 1 k and 1 u?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*n + 883 + 38 = 0, -3*n + 609 = 2*v. Let o = 307 - v. Put 3, o, -5, -4 in decreasing order.\nAnswer: 3, o, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3*d - 1)*(d - 4 + 4)*(4*d - 5*d - 2*d) as v*d**3 + z + i*d + t*d**2 and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 234 and 6570954?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -60 in 0.2, 0, 6, 1, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t**2. Let f(o) = 7600*o**2. Determine b(f(r)).\nAnswer: -231040000*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 108484 divided by 2?\nAnswer: 54242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 14*k - 108. Is c(18) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1198257 is divided by 108680?\nAnswer: 2777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 2*f - 12. Let r = 38 + -27. Suppose 4*g = r + 5. Calculate the lowest common multiple of f and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 243*s + 4412. Give m(-17).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 761047 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8170*i**2*x**2 + 2*i**2*x - 5*i**2 + 1698*x - 1 wrt x.\nAnswer: -16340*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -12, -4*v + 4*q = -12 - 4. Suppose v = 5*b - 25, -l - 3*b = -6*l + 30. Is 12\/(-54) + 1496\/l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5309042\/3 or 1769682?\nAnswer: 5309042\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 11*s**2 + 21*s + 10. Let k be q(-9). Let i(b) = b**2 + 12*b - 30. What are the prime factors of i(k)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 24 = -0*t - t, -80 = -3*g + t. Calculate the remainder when g is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257822771.\nAnswer: 37, 6968183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-14) + (-38)\/(-14). Suppose 0 = p + 3*f - 19, -3*p + l*f = -7*p + 31. Suppose 3*y - p = y. Let w(b) = 2*b. Calculate w(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**7*h**(-1\/2))**24 assuming h is positive.\nAnswer: h**156","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**3\/6 + 7*v**2 - 11*v. Let u be k(10). Solve 5 = -3*g + u*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81399054 to the power of 1\/2, to the nearest integer?\nAnswer: 9022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 6. Suppose 3*k - z*w = 0, -k - 3*w = -7*w + 10. Find b, given that -4*b**3 - 3*b**5 + 9*b + 9*b**4 - 3*b**k - 3 - 3*b**2 - 2*b**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (3 - -2) + (2 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + 4. Suppose -n = p + 2*p. Is (-3)\/(-4) - 435\/p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 0*k + 0 + 0*k**6 + 0*k**3 + 4*k**2 + 1\/70*k**7 + 0*k**4 - 1\/15*k**5. Find the third derivative of j(s) wrt s.\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5130 divided by -6\nAnswer: -855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**3 + 136*u**2 + 11*u + 758. Let w be i(-68). Solve 170 = 24*a + w*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 88 = -12*w + 13*w, 0 = -3*w - 2*u + 288. What are the prime factors of w?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*s + 282*s + 3*s**3 - 1063*s + 285*s + 208*s.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 946*c**4*g**2 + 2*c**2*g**3 + c*g**3 + 10*c*g**2 + 3*c*g - 10 wrt c.\nAnswer: 11352*c**2*g**2 + 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 20 = 0, b + b + 16 = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*w - 1070, 3*w - 5*b - 502 = 140. Let r be 24\/1380*w\/(-8). Let k = r - -3\/46. Is 0 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -7. Let v be (-2)\/(-4) - 18\/20. Let o = -4\/59 - -185\/118. Which is the smallest value? (a) v (b) o (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 634252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 g, and 1 b when three letters picked without replacement from kobiiogkbyib.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1309994 divided by -1.\nAnswer: 1309994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 3 - 0. Let i = 0.055 - 4.055. Put i, -0.3, d, -3 in increasing order.\nAnswer: i, -3, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4637761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 3. Suppose 17 = o - 2*z, -5*o - p*z = -4*z - 85. Suppose 5*v - 20 = v - 4*d, -5*v - d + o = 0. Solve -1 = -r + v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 0. Let h = r + 0. Let s(m) be the second derivative of m**4\/12 + 2*m**3\/3 - 3*m**2\/2 - 1014*m. Calculate s(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 4\/3*i**3 - 18*i**2 + 32*i - 13. Solve a(k) = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 + 6*t - 6*t + 3*t + (0 - 1 + 3)*(5*t - 4*t + t) - 4*t + 2*t + 3*t + 3*t - 5*t + 0*t + 44 - 7*t - 44.\nAnswer: -t + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -3. Suppose -z + 3 = o. Suppose -z*d - 4*p + 14 = -4, d = -4*p + 11. What is the least common multiple of d and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r + 27*r + q = -4, 5*q - 4 = 2*r. Let y = -7 - -15. Suppose -h + 100 = -4*a, y*h = 3*h + 4*a + 452. What is the highest common factor of h and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times 227\nAnswer: 20.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3951, 7902, 11853, 15804, 19755, 23706?\nAnswer: 27657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 19*b**4\/12 - b**2 + 2*b + 8. Let v(w) be the second derivative of w**4\/12 + 45*w - 1. What is s(v(k))?\nAnswer: 19*k**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2 + (-1 + 4 - 1)*(-3 + 3 + 2) + 3 - 1 - 1 - 5 + 1 + 3 - 2 - 4 + 4 + 4 - 12 + 7)*(c**5 - 8 + 3 + 13).\nAnswer: -c**5 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4749 + -0.5251. Put -2\/13, 9, t, 107 in ascending order.\nAnswer: t, -2\/13, 9, 107","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -2\/5 (b) -12 (c) 0.6 (d) -1 (e) 1 (f) 0.363\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -621*i = 24*i + 945 - 8040 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.8 - 1.45. Let q = g - -0.15. Let y = 0.6 - 0.4. What is the third biggest value in -0.4, y, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, w: 3, l: 5, g: 1}. Give prob of sequence wtgw.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30.393 - 27.933. Is 0.25 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**3 + 2*b**2 + 4*b + 1. What is the remainder when n(-3) is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(1584) + -2 + -4)**2 + sqrt(1584) + -4*(sqrt(1584) + 0 + sqrt(1584) + sqrt(1584)) + (sqrt(1584) - (sqrt(1584) + -4 + sqrt(1584)*4)**2)*5 + 5).\nAnswer: -982275 + 10920*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -38105 rounded to the nearest 1000?\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/10)\/(2\/(-20)). Suppose -j*f + 4816 + 6104 = 0. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b + 9233 - 9156 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 368094 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -17*k**2. Let x(r) = 4*r**2. Give v(x(p)).\nAnswer: -272*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -6762\/79 at least as big as -86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 425 by 286.\nAnswer: 425\/286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*o*x**3 + 63425*o*x + 436*o + 1257592*x**5 wrt x.\nAnswer: -78*o*x + 25151840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 0.2. Let s = -2.09 + 0.09. Let h = 3\/203 + -433\/1827. What is the closest to s in 3\/4, u, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 2*q - 10 - 2*q**3 - 4*q in the form k*q**2 + l*q + g*q**3 + z and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d**3 - 4680*d**2 + 9371*d - 4800. Let m(x) = 2*x**3 - 2340*x**2 + 4686*x - 2396. Let z(y) = -13*m(y) + 6*p(y). Factor z(f).\nAnswer: 4*(f - 1)**2*(f + 587)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 863*o**4\/12 - 1026*o. Let b(x) = -x**2. Determine t(b(q)).\nAnswer: 863*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -230284780 divided by -57571195?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.5, 473, -1\/2232, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 22*q + 10. Let z(p) = 23*p + 9. Let r(n) = -5*j(n) + 4*z(n). List the prime factors of r(-10).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 37*c - 13. Let p be i(13). Suppose -5*g - p = -3*n - 4*g, 788 = 5*n + g. Suppose -5*y = -4*y - n. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 4 = -v. What is the remainder when 15 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -1 (c) -2\/9 (d) -18\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**4\/3 + 76*b**3\/3 + 722*b**2 - 22*b. Determine n, given that c(n) = 0.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 + 145*p + 616. Let l be k(-68). Solve 3*c + 7 = 10*f - 11*f, l*f + c = -17 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a**3\/13 + 2264*a**2\/13 + 9768*a\/13 = 0 for a.\nAnswer: -222, -22\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(133) - (sqrt(133) + sqrt(133)*-2*5)))\/((sqrt(112)\/(sqrt(16)\/sqrt(8)) + sqrt(56))\/sqrt(8)))**2.\nAnswer: 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75\/46 + 3\/23. Sort 5, -3\/7, o, -4\/7 in decreasing order.\nAnswer: 5, -3\/7, -4\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 13) to base 2.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/16)\/(y**(-2\/3)\/y))**(-39) assuming y is positive.\nAnswer: y**(-1079\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 563*p - 4210 = 553*p. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27039.82 rounded to the nearest 100?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7021 (base 8) to base 3.\nAnswer: -11221101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -15210\nAnswer: 45630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3713?\nAnswer: 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (272\/40 + -6)\/((-2)\/(-10)). Suppose 5*y - 4*t - x = 0, -y = 2*y - 3*t - 3. Let z be 1\/(-2) + 15\/26. What is the third smallest value in z, y, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/21 + 620*s\/21 - 3504\/7.\nAnswer: -2*(s - 292)*(s - 18)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -11 - (35 - (-18 + 8)) - -5?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in -14, 5, -1, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -59003c?\nAnswer: 590038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10823, -10462, -10101?\nAnswer: -9740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -z**7\/126 + 283*z**6\/360 - 559*z**5\/45 - 235*z**4\/18 - 12494*z**2. Solve x(c) = 0.\nAnswer: -2\/5, 0, 10, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/2587856 and 27\/14233208.\nAnswer: 28466416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 1304190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.22 - -3536066601268.\nAnswer: 3536066601267.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 7 - 5. Let g be y\/(-3)*(-9)\/2. What is the second derivative of -2*p - 4*p - 2*p**3 - 6*p**g + 0*p wrt p?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2053343 is divided by 293334?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-7 - (25 + -14))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -j**5 - 5*j**4\/2 + 20*j**3 - 35*j**2 + 25*j + 25. Factor m(d).\nAnswer: -5*(d - 1)**3*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of y**8\/336 + 8*y**7\/105 + 37*y**4\/6 - 2*y**2 - 33. What is the second derivative of f(w) wrt w?\nAnswer: 20*w**3 + 192*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -5. Suppose -1 = -3*s - 0*g + g, -2*s - 3*g + 19 = 0. Solve 5*u - 15 = 0, -c*z + 8 = -0*u + s*u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -189 + 195. Solve 5 - o = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5514 divided by 16\nAnswer: 2757\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46653178?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-15))\/(-1*(-46)\/5750).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-15)\/(-21) - 1)*-14. Suppose 3*q - 5*v - 205 = -v, p*v = -3*q + 173. Is 18810\/q - 8\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112220002 + -2002110?\nAnswer: -121222112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -24*l**2 + 0 + 0*l + 0*l**3 - 7\/24*l**4. Let u(y) = 7*y. Calculate u(r(i)).\nAnswer: -49*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21808302 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 446398855.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 0.023.\nAnswer: 0.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -2 + (1 - -2 - (269 + -285)) - 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 5*m. Let q(a) = 33*a**2 - 72*a + 3. What is 15*h(s) - q(s)?\nAnswer: -18*s**2 - 3*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 3*w**2\/2 + 17*w - 20. Let n be j(-4). Sort 3, 1, -1, n.\nAnswer: -1, 1, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.002 - 0.002. Let n be (-44)\/(-60) + (-2)\/5. Let z = -407\/9 - -45. What is the closest to 1\/5 in z, p, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f - 136 + 136)*(-3 + 3 - f**2)*(f**2 - f**2 - 4*f**2).\nAnswer: -24*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -589 = -4*z - 5*x, -9*z - 5*x - 347 = -11*z. What is the greatest common divisor of z and 23556?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-69870)\/8)\/17*-4. Suppose -3*f + l = 3*x, 3*f = -4*x + 8*x + 2027. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -891, -1786, -2681, -3576, -4471?\n\"Answer: -895*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3493591413.\nAnswer: 3, 13, 419, 439, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/2495 + -192099\/19960. Calculate the common denominator of b and 89\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 2 - -3) + 2 + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 34 - 0. What is the common denominator of (-108)\/1458 + (-722)\/459 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-175 - (-227420)\/822)\/((-10)\/(-6)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 - 62*f - 5. Let h(r) = 4*r**2 - 123*r - 9. Give -3*h(y) + 5*w(y).\nAnswer: -2*y**2 + 59*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 10. Give y(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 159780 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11, -6, 9, 40, 93, 174, 289?\n\"Answer: d**3 - d**2 + d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 260 = 3*x. Let d = x - -23. Let b = d - -25. Let t(n) = -3*n + 2. Give t(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 69*z - 492. Calculate the remainder when 4175 is divided by c(9).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -1)*2 + 1. Let r(m) = -13*m**3 - 2*m**2 - m. Let x be r(k). Solve -p - x = -5*z + 6, -p = 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 w, and 1 b when four letters picked without replacement from rfrweqefrfrewbwfrw.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-14)\/z)\/z**(2\/7)*z\/(z*z**(5\/11)*z*z)*z*z**32 assuming z is positive.\nAnswer: z**(1252\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6898*o - 1131276. Determine l(164).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -24*r - 43. Let u(h) = 2*h**3 + 33*h**2 - 20*h - 53. Let j be u(-17). Let i be d(j). Solve i*k - 3 = -n + 4*k, -2*n + 6 = -2*k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(5*u + u - 4*u)*(-u + 0*u - u)*(3*u**2 - 2*u**2 - 2*u**2).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*a + 5, -3*a + 15 = -2*n - 10. Let q(d) = -2*d**2. Let x(z) = 3*z**2 + z. Let u(s) = a*q(s) + 4*x(s). Factor u(b).\nAnswer: 2*b*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 51 + -1 + 1. Suppose u = 4*g + m + 18, 5*g - 42 = -2*m. Suppose -26*l + 2 = -25*l. Solve 3*r + 13 = -2*w - l*r, 4*r = -4*w - g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64 - -76)*((-18)\/(-28))\/((-306)\/357)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102\/115 + 12\/120*(1 - 9)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4c4a + 0?\nAnswer: 4c4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5893 - 5896. Let t(m) = m**2 + 2*m - 3. Let o be t(-4). Put -1, 2, o, a in ascending order.\nAnswer: a, -1, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**2\/2 - 8*i + 7. Let n be r(8). Let w(j) = j**2 + 10*j + 18. Let c be w(-8). Solve 0 = -n*u + c*u - 3*q - 11, 5 = -q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*k + 6 = 3, -13 = 5*z + 2*k. Which is the closest to -1? (a) z (b) -3 (c) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15490 is divided by 490.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 1 + -9 + 1 + 1 + -8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 7. Let y(g) = g**2 + g + 25. Is y(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1885, 1887, 1891, 1897, 1905, 1915, 1927?\nAnswer: 1941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*j + 458 = 0, -5*a = 10*j - 8*j - 2238. What are the prime factors of a?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.78 + 0.18. Let l = -0.452 - -1.452. Which is the nearest to u? (a) 3 (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w + 14. Let l = -18380 + 18399. Calculate a(l).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81 and 3066.\nAnswer: 82782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, k: 4, v: 8}. What is prob of picking 3 s?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - 4*h**2 + 53 + 3*h**2)*(5*h - 2*h - h) - 13*h**3 + h**3 + 7*h**3.\nAnswer: -9*h**3 + 106*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-8)*2*10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 1 + 220\/(-72). Is s > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43304610 to the nearest integer?\nAnswer: 6581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.32215.\nAnswer: 0.96645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -188*n**2 + 8093*n - 358. What is x(43)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 1750243*j - 1750243*j - 5 + 169*j**2 - 1.\nAnswer: 169*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29660 - 29656. Put 4\/3, 2\/109, c, 0, 3 in descending order.\nAnswer: c, 3, 4\/3, 2\/109, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 11 = 3*c - 4, 3*c - 18 = 4*o. Suppose -24 = -2*g - 2*g. Let i(s) = 2*s + 2*s + g - 2*s - 4. Let w(f) = f + 1. Determine c*i(y) - 3*w(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -268918 + 130768. Let t be (3\/(-40))\/((-40)\/x). Let n = t - -259. Which is bigger: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 + (-2 - -3)*(-3 - -3). Suppose -c + d*c - 1926 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 19)\/((-1)\/(-5)). Suppose -2*h - 3*h = -f. Let s be h\/4 + 3\/(-4). Solve -3*i = 4*l - 12, -s*l - 5*i + 5 + 7 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 - -451 - ((-14)\/(-2) - 7)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -26, -94, -206, -362, -562?\n\"Answer: -22*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*r**2 - 2)*(314 - 224 + 355 - 998 - 1088).\nAnswer: -4923*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 6:52 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x + 2080. Let r(h) = h**2. Calculate m(r(d)).\nAnswer: -3*d**2 + 2080","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 7*r**3 - r**2 - 13*r - 7. What is t(-2)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(40\/15 + 4\/(-6)). Suppose 2*b + 23 = 5*c, -1 = -b - j*b. Let u(f) = f**3 - 3*f**2 - 6*f - 4. Does 4 divide u(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 18*i**2 - 25*i + 8. Give o(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r, r - 55 = -5*g + 3*r. Solve -2*b + m + 2 = 3*m, -3*m + g = 5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f**10\/f)))\/f**31*f**29\/(f\/f**(11\/4)*f) assuming f is positive.\nAnswer: f**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*sqrt(7)*3 - sqrt(847)*2*-6)**2.\nAnswer: 42588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0 + (2 + 1 + 0)*(1 - 3 + 0) - 1 + 1 + 1)*(-2*c**5 + 4*c**5 - c**5).\nAnswer: -4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-10))\/(7\/(-35)). Let m be (s - 3\/1)*3. Let c = -3 - -3. What is the biggest value in c, m, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14530766*w + 14965107 wrt w.\nAnswer: -14530766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 30*a**2 - 30*a + 26. Let f be v(29). Let q(u) = -44*u**2 - 3*u. Let h(t) = -131*t**2 - 8*t - 1. Let d(n) = 2*h(n) - 7*q(n). Is d(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/12 + 2)\/(-1 - -2). Suppose 4*y - 4*a = 72, 3*a - 2 + 8 = 0. Let b = y + -18. Put -3, 5, b, h in decreasing order.\nAnswer: 5, h, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 + 45. Let f = 15.7 - k. Let i = f - 0.6. Round i to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36.2 - 6.8. Let t = -38 - y. Let x be 0\/(-24) + (4 + 2)\/(-2). Sort -5, t, 0, x in decreasing order.\nAnswer: t, 0, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 43176 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -21. What is the smallest common multiple of 2 and 10 - (u - (-6 + 3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 23*j - 280 = 0. What is the tens digit of ((-616)\/140)\/((-2)\/j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 612 is divided by 136.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 3, 0.2, 321\/26, -5\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78 and 130?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q + q - 330. Calculate the remainder when q is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2) + -2 + -5 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*10\/(-8))\/(10\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*i - 5*j = 1004, 2*i = -5*j - 666. Let t = -223 - i. Calculate the remainder when t is divided by 60.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -4 + -6 + 6 + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 8:03 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of y**3\/2 + 9*y**2\/2 - 6*y - 6. Let s(r) be the first derivative of p(r). What is the least common multiple of s(9) and 40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wbmmtwwwwwbw. What is prob of sequence wwmt?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21530308?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.21 - -0.5.\nAnswer: 9.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 117 - 57. Let l be (-24)\/240 - (-206)\/k. Let 4\/3*y - 2*y**2 + 0 - l*y**3 = 0. What is y?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p - 20 + 25 - 40 - 181 + 583 to the form m + f*p and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/((-9)\/(18\/4)). Let d be q + 24\/(8\/2). Let w(z) = 3*z**3 + z**2 - 2*z. Let m = 1 + -4. Let c(a) = 4*a**3 + 2*a**2 - 3*a - 1. What is d*c(f) + m*w(f)?\nAnswer: -f**3 + f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wnwy when four letters picked without replacement from {n: 3, q: 1, w: 5, y: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 80*p - 410, 37*k = 38*k + 2*p + 5958 - 5938 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 10:41 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-20)\/56)\/(-5))\/(1*(-4)\/(-8))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -201 + 199. List the prime factors of 285 - (0*g\/(-8) - -3).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4 + 12 + 4*o + 5*o**2 + 4*o. Let b(f) be the third derivative of -5*f**2 + 0 + 0*f + 1\/2*f**3 + 1\/30*f**5 + 1\/8*f**4. Determine 8*b(t) - 3*u(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11, 14, 15, 20, 35, 66, 119, 200?\n\"Answer: u**3 - 7*u**2 + 17*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 17*y**8\/336 + 5*y**4\/6 - 5*y**2 + 19. Let k(i) be the second derivative of o(i). Find the second derivative of k(t) wrt t.\nAnswer: 340*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -2467?\nAnswer: -246.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44.8 + 6.8. Let w = 38.004 + d. Round w to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60*k**3 + 69*k**4 + k**2 + 450*k + 303*k**5 - 80*k**4 - 302*k**5 - 66*k + 3 wrt k?\nAnswer: 60*k**2 - 264*k - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21450313 (base 7) to base 6\nAnswer: -103305341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.03 times 0.2?\nAnswer: -0.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*k = -201*k + 133956. What is the thousands digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3020160 a multiple of 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**2 - 36*h + 4. Let z be x(-12). Suppose -96 = -4*t - 2*d, 3*d - z = 8. Suppose -10*w + 218 = -t. What is the least common multiple of w and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -12*m**5 - 40*m**4 - 20*m**3 - 3*m**2 - 3*m - 3. Let h(n) = 13*n**5 + 40*n**4 + 20*n**3 + 2*n**2 + 2*n + 2. Let b(k) = -3*h(k) - 2*y(k). Factor b(z).\nAnswer: -5*z**3*(z + 2)*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 9, 2, -420, -9, -3, 3 in descending order.\nAnswer: 9, 7, 3, 2, -3, -9, -420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 10*k**2 - 8*k - 7. Let b = 16 - 7. Let h be l(b). Let c be 5 - ((-36)\/28)\/((-90)\/210). Solve 3*a + 31 = 4*m, 4 = h*a + 4*m - c for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 1. Let w(d) = -2*d + 7. Let p(n) = -5*o(n) - w(n). Let t be p(1). Solve -3*a = -t - 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43 - 113?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 4*b = -6, 3*c + 30*b + 9 = 15*b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473926 is divided by 4352.\nAnswer: 3910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.6842 from -0.34.\nAnswer: -1.0242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**4 - 56858*d**3 + 807297801*d**2 + 25877212960*d + 207134214400 = 0. Calculate d.\nAnswer: -16, 28445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2356 - 880. What is the tens digit of 185\/(-37) - o\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + ((0 - -1)*-3 - -7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 5. Let z(j) = 2*j + 9. Let i(s) = s + 2. Let p be i(5). Let l(v) = p*w(v) + 3*z(v). Let y be l(-10). Solve x = 5 - y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oonoenadan. Give prob of sequence oed.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131776, 263550, 395324, 527098, 658872, 790646?\nAnswer: 922420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2455330 (base 6) to base 16\nAnswer: 20406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -4*i - 65, 3*i + 6998*o - 6996*o + 48 = 0 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -933 (b) -1082 (c) 3\/4 (d) -2 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/(-126))\/(4\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -18.69, -1\/5, 1\/2?\nAnswer: -18.69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 0*i + 0*i**4 - 1\/20*i**5 + 0*i**3 + 0 - 11*i**2. Let j(u) = u**2. Determine j(t(r)).\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81 + 55. What is the third smallest value in 3\/5, o, -3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -n + 23, 80 = 4*n - t + 2*t. Calculate the greatest common divisor of 209 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-1)*w*w**(-5\/4)\/w)**(1\/9)\/(((w*w**10*w)\/w)\/(w*w**(-2\/15)*w))**(-1\/3) assuming w is positive.\nAnswer: w**(181\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + 2)*(-13)\/(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000597 rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 0) + (50 - 44) + 0 + -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (1\/5)\/(((-42)\/210)\/(-1*1)) and 3798.\nAnswer: 3798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*z + 28*z = -1873 + 409 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1626015 less than or equal to -1625945?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 6 - 1. Suppose 0 = -m*g + 45 + 15. What are the prime factors of (-210)\/g*4\/(-5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -507 - 5?\nAnswer: -514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -2563149.\nAnswer: -2\/2563149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 1 (b) 0.3 (c) 4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*o + 14 + 107 - 36 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 18, 27, 52, 99, 174, 283?\nAnswer: 432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 180.9 + -181.2. Which is the third biggest value? (a) -5 (b) 272 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, b: 11, d: 1, m: 4}. What is prob of sequence dss?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1911230 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.4 (c) -5\/3 (d) -0.047\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = g - 5. Let w(q) = 31*q. Is 11 a factor of w(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 4*w + 19. Let o be m(-7). Let n = 4 + o. Let k = 12 - n. Solve 5*p = -5*y, y - p = -4*p + k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107259531.\nAnswer: 3, 4153, 8609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*((-18)\/(-5))\/6. Determine z, given that 5*z**q + 178*z**4 - 76*z**4 - 87*z**4 - 5*z**5 + 20 - 35*z**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -595 - -1225. What are the prime factors of a?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*y + 88. Let a(x) = x**3 - 3*x**2 - 2*x - 3. Let n be a(3). Let f = n + y. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**4\/4 - 239*l**3\/4 + 9*l**2\/4 + 2151*l\/4 = 0.\nAnswer: -239, -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -271?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 18*p**2 + 84. Let u(t) = -2. Let d(i) = -2*s(i) - 84*u(i). Let f(n) = 14*n. Give d(f(x)).\nAnswer: -7056*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t - 10 = -18*t. Let z(w) = -2*w**t + 6 - 14 - 8*w + w**2. List the prime factors of z(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 42, 104, 186, 294, 434, 612, 834?\n\"Answer: k**3 + 4*k**2 + 43*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.3 + -2.39. Let z = 0 + j. Let d = z - -0.097. Round d to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 190117773.\nAnswer: -190117773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1884, -1873, -1848, -1803, -1732, -1629, -1488, -1303?\nAnswer: -1068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x + 4*x - 3*x)*(0*x**2 + 0*x**2 - 2*x**2) + (6*x - 4*x + 2*x)*(-2*x**2 - x**2 + 4*x**2) + (-2*x**3 + 9*x - 9*x)*(-6 + 5 - 9).\nAnswer: 36*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = i + u - 10, 4*i + 3*u = 10. Solve 2*z + i = -4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 5*o**2 + 2*o - 1. Let z be (-12)\/3*5\/(-4). Let u be p(z). Let c(k) = k - 4. What is the units digit of c(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**4 - 113670*z**3 + 872810105*z**2 - 2577656624220*z + 2571155904377780 = 0. Calculate z.\nAnswer: 2581, 8786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6445165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23659495 to the nearest integer?\nAnswer: 4864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -88 - -375. What are the prime factors of y?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 1110?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 5*t**2 - 4*t + 2. Let s be l(3). Suppose s*v = -15 + 103. Let x(b) = b**2 - 5*b - 10. What is the tens digit of x(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 17*i**4\/6 - 5*i**3\/2 - 103*i**2\/3 - 4*i = 0.\nAnswer: -3, -2\/17, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 12 = 12*f. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34007514?\nAnswer: 2, 3, 17, 37, 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (6 - -6) - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2191265 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-6)\/x))**(26\/3) assuming x is positive.\nAnswer: x**(208\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jk when two letters picked without replacement from {p: 1, k: 3, j: 1, t: 1, l: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42170.\nAnswer: 2, 5, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 53*d + 393. Let y be k(-7). Let n(q) = 76 + q - y - 30 - 28. Give n(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26364.912 rounded to the nearest 100?\nAnswer: -26400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 2. Let z be r(6). Let o(b) = -b**3 - 19*b**2 + 18*b + 15. Let n be o(-20). Let c = n + z. What is the remainder when c is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -4) + 16 + -23 + 8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6465548.\nAnswer: 2, 19, 241, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14145, -179, -4 in descending order.\nAnswer: -4, -179, -14145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*d - 364*d**3 - 6*d**2 + 119*d**3 + 4 + 120*d**3 + 128*d**3 to s*d**3 + x*d + p*d**2 + a and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -626, -657, -756, -929, -1182, -1521, -1952, -2481?\nAnswer: -3114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 228\/24*(-32)\/16?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1729 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, 2, 10, -2, 2\/15, 0.0863, 1\/5?\nAnswer: 0.0863","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 31*b**3 + 23885262*b - 23885262*b.\nAnswer: 31*b**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 + 170. Calculate the greatest common factor of y and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3 (b) 0 (c) -272\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/5 (b) 0.2 (c) -2\/7 (d) 3\/8 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35510 and 21886086?\nAnswer: 5799812790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 33 - 5 = -2*n, 0 = -4*n - 5*r + 136. Let c = n + -17. Let k = c - 13. Which is greater: k or -2\/33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**5 - 10*m**2 + 1. Let r(w) = -916*w**5 + 20*w**2 - 1438*w - 2. Let h(i) = -r(i) - 2*s(i). What is the second derivative of h(t) wrt t?\nAnswer: 18360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4815 - 62.213.\nAnswer: -62.6945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3034375*a**4 + 10*a**3*j**3 + 7130*j**3 + j**2 - 3925*j wrt a.\nAnswer: 12137500*a**3 + 30*a**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90585507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/3))**(-20))**(-8\/9)*(o**(-1)\/o)**7*o**(-1\/2)\/(o*o**1) assuming o is positive.\nAnswer: o**(-571\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 12:09 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + -70ac4a?\nAnswer: -70ac43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 11*f**2 + f - 9. Let i be j(11). Find the third derivative of -2*a + a**i + 7*a + 2*a + 2*a**2 - 16*a**5 wrt a.\nAnswer: -960*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 37. Let a = -30 - w. Suppose -4*b - 288 = -a*g, 2*b + 0*b - 339 = -5*g. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5600455, 5600469, 5600471, 5600443, 5600367, 5600225, 5599999, 5599671?\nAnswer: 5599223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 70 = -4*c, -62*c + 10*a = -57*c + 105 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 + 0*b + 0*b)*(674*b**2 - 29*b + 37*b - 23135*b**2 - 8*b).\nAnswer: 44922*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 170 - 11476*n + 11387*n + 12 as q*n + c and give c.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014713327 to seven decimal places.\nAnswer: -0.0001471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -g - 150. Suppose n + 15 = 2*l - 7*l, -n = -5*l - g. Solve -2*m + 3*m + 14 = -4*i, -n*m - i = 13 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 12*r - 78. Calculate q(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47747291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 7*w - 45. Let u(n) = -10*n + 63. Let j(p) = -7*a(p) - 5*u(p). Let z(i) = 4*i**2 + 2*i. What is j(z(c))?\nAnswer: 4*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 5:00 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + -4 + sqrt(343) + 0)**2 - (sqrt(77)*-2*3)\/sqrt(11).\nAnswer: -106*sqrt(7) + 1388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -242 - (-3)\/((-3)\/(-2)). Let l be 0 + h\/(-4)*1. Suppose -4*v - 2*x + l = 3*x, -v + 2*x + 15 = 0. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 9*v**3 + 1711839*v**2 + 3994248*v + 1141212 = 0.\nAnswer: -190202, -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 1:49 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 335 * -16.\nAnswer: -5360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14876*f*t*v - 22*f*t - f*v - 970*t*v + 240*v wrt f.\nAnswer: 14876*t*v - 22*t - v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/4)\/((-30)\/20*2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 13*q + 5. Let z(c) = -c**3 - 2*c**2 - 25*c - 11. Determine -5*y(o) - 2*z(o).\nAnswer: 2*o**3 - o**2 - 15*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, -67106, 6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -10*j + 1. Determine y(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iuli when four letters picked without replacement from {u: 5, i: 3, a: 3, l: 1}?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 24*i**5 + 24124*i**4 + 4291428*i**3 + 49202536*i**2 + 88100208*i + 13336480 = 0. Calculate i.\nAnswer: -779, -214, -10, -2, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 10:45 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-10) + (-142)\/(-10). Suppose d - 3*d + v = 0. Factor -4*m**2 + d*m**3 - 6*m**2 + 4*m - m**3 + 0*m**2.\nAnswer: 2*m*(m - 1)*(3*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -6*x + i - 230, -335 = 3*x - 4*i. Let y = -73 - x. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1064386 is divided by 133033.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 2\/9, 2, 11.81, 3\/4, -2\/15?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 5. Let w = y + 12. Solve -2*a - w - 2 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, q: 1, x: 2}. What is prob of sequence xx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3248)\/(-80) - (-3)\/(-5). Suppose 7*f - n = -3*f. Let l(h) = h**3 - 5*h**2 + 3*h - 6. What is l(f)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 135*x - 133*x + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 < -116\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2400 >= -2398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -220223*t - 3303355. Determine y(-15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 438134 and 8.\nAnswer: 1752536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -1b98?\nAnswer: 1b97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**2 + 20*u + 15. Let h be t(-5). Let p be 1*h\/(210\/9). Let s = -0.3 - -0.2. Sort -2, s, p.\nAnswer: -2, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22660266 and 3.\nAnswer: 22660266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 174135 a multiple of 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -2\/15, -2, 1, -0.1, 40419?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, z: 2, u: 2, i: 5, p: 1, g: 3}. What is prob of picking 3 g?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*g + 46 - 68. What is the hundreds digit of 8 - (-1 - g)*-1030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xcllxlxxlcclllxlx. Give prob of sequence lcx.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmdo when four letters picked without replacement from dvmxdpdppmpdomvmmvdd?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*a = -2*v - 4, -10 = -3*v - 5*a. Let h be ((-2)\/(-4)*2)\/(12 + -13). Let m be (h\/(-2))\/((-1 - -3)\/20). Is v <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10748927 is divided by 596?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34.8 + -35. Suppose -5*x - 3*s + 23 = 0, 5*s = -4*x + 6 + 15. Which is the second smallest value? (a) 1 (b) w (c) -5 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 110\/84 + (-36)\/216. Which is the second smallest value? (a) s (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (4\/(-16))\/((-3)\/(-52)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50587745671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*2\/((-1)\/(-1)). Let t(h) = -h**3 + 2*h**2 + 3*h + 2. Let g = -3 + 6. Let k be t(g). Solve k*n + 0*n = f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8032, 16065, 24098, 32131?\n\"Answer: 8033*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*s = -25, g - 1 = -5*s + 4. Solve -4*k = -2*u + 4, -g*u = k - 0*k + 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 121*s - 81 + 91.\nAnswer: -121*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2252769500 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 30\/20 - 6\/12. Suppose i**2 + 1\/2*i**4 - 3\/2*i**3 + 0*i + x = 0. Calculate i.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 16 - (0 + (-4 - -12))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 414\/7 + (-270)\/(-315) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) - -4*(sqrt(567) + 1) - (sqrt(567)*1*-3 + sqrt(567))) + -3 - (-4 + 1 + sqrt(567) + sqrt(567) + (sqrt(567) - (sqrt(567)*2)**2) + -4).\nAnswer: 36*sqrt(7) + 2276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -i**4\/24 + 4*i**3\/3 - 44*i**2 + 3*i. Let d be w(4). Solve -2*o - d*o + 12 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83520*h - 83434*h - 2236 = 0 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*t + 5*t. Let a = t - 10. 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 highest common divisor of 2460 and 6910188?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/8222920 and 67\/1928?\nAnswer: 8222920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*x = -3*x - 462. Suppose -x*z + 17*z = -2170. What are the prime factors of z?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = l - 0 + 3, 16 = 3*l + 2*z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 - 43 - (-156)\/(-38).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*v + 6*v. Suppose v*z + 3813 - 32313 = 0. What is z rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 336, -4.\nAnswer: -4, 2, 336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1971 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -4*d**3\/3 - d**2 - d - 12. Let g be ((-1)\/3)\/(2\/6). Give k(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1098 or 1097?\nAnswer: 1098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**5\/70 - 335*o**4\/42 - 8949*o**3\/7 + 29241*o**2 + 10363*o. Factor x(a).\nAnswer: -2*(a - 7)*(a + 171)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*p = -3, x - 4*p = -x + 36. Let d(i) = 7*i - 177. What is the remainder when d(30) is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -537290*d**5 - 209*d**2 + 3689?\nAnswer: -32237400*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 594 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**5 - 1645*b**4 + 1610*b**3 + 9860*b**2 - 6520*b - 13120 = 0. Calculate b.\nAnswer: -2, -1, 2, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 35*h + 1. Let g be r(1). Let q = g + -60. Let f = 36 + q. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 10*j**2 + 2*j - 1. Let y be (-3 - 4)\/(3 + -2). Let i be q(y). Suppose 2*u = 5*u - 36. What is the highest common divisor of u and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2*z + 3)*(1318*z**3 - 2 - 2642*z**3 + 24*z + 1329*z**3) to o*z**2 + j*z + c + r*z**3 + k*z**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 4*r - 6, 0 = 2*v - r - 0*r - 3. Let k(z) = -10*z**2 + 7*z + 10. Let t(b) = 3*b**2 - 2*b - 3. Determine v*k(p) + 7*t(p).\nAnswer: p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 - 3*o**2 - 3*o - 17. Let m be s(-3). Let d = -2 - -3. Suppose -2*t + 37 = q - 2*q, 0 = q - d. Is m > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**2 - 58*k - 81. Let y(i) = i**2 - 2. Let q(c) = -v(c) - y(c). What is the remainder when q(-30) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 8, -p = -3*f + 2*f + 83. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from {s: 18, c: 2}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202*j - 217*j - 136 = 134. Which is bigger: -535\/31 or j?\nAnswer: -535\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1040447.059 to the nearest ten.\nAnswer: -1040450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 63, 103, 205, 399, 715?\n\"Answer: 5*h**3 + h**2 + 2*h + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -10*q - 6 - 5*q**2 + 4*q**2 - 3. Let y be j(-9). Determine f so that f**2 + y*f**2 + 0*f**2 + 2*f = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.2 (c) -4\/13 (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/3)*r**(1\/3)*(r*r**1*r)\/(r*r**(3\/5))*(r**5*r\/(r**0\/r*r))\/(r**(2\/25)*r**(-1\/2)) assuming r is positive.\nAnswer: r**(1273\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-244)\/24 - (1 - 10\/12).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14 or -180040\/12483?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}