{"text":"Question: In base 16, what is -11234 + 56?\nAnswer: -111de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 236639\/(-254842)*(9\/(-13) + 1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) be the second derivative of 2*q + 0*q**2 + 2\/9*q**3 + 1\/9*q**4 + 1\/60*q**5 + 0. Find r, given that l(r) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 6\/(-2) + 5 + -2 - -180. Let z be ((-4)\/(-22) - l\/132) + 1. What is the second biggest value in 4, z, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*i = -6*i - 75. What is i rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jaja when four letters picked without replacement from aaaajjj?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2010200 + 1212?\nAnswer: 2012112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 759 and 85261?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = -5*y + 5, 4*y + y = -3*w + 25. Suppose 15 = y*h + h. Solve 0 = -4*c + h*g + 28, 2*c + 2*g + 14 = 5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 176003617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 10044 and 8100.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*y + 2542 - 2686 = 0. Let u(b) be the first derivative of 8\/3*b**3 + 1\/3*b**y + 0*b**2 + 16 + 0*b - 6\/5*b**5 + 0*b**4. What is s in u(s) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -49243 + 84103. What are the prime factors of o?\nAnswer: 2, 3, 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 28\/(-6)*(-8424)\/378. Find the second derivative of v*a**3 - 344*a**3 + 43*a + 86*a wrt a.\nAnswer: -1440*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine z so that z**5\/4 - 545*z**4\/4 - 547*z**3\/2 - z**2\/2 + 1093*z\/4 + 547\/4 = 0.\nAnswer: -1, 1, 547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1.879 or -2?\nAnswer: 1.879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 117786, 117835, 117974, 118251, 118714, 119411, 120390, 121699?\n\"Answer: 8*u**3 - 3*u**2 + 2*u + 117779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 26 a factor of 18833334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b be 26 - (27\/9 - -4). Sort -4, b, 0, 4 in decreasing order.\nAnswer: b, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -o**2 + 3*o. Let f(g) = -g**2 + 4*g. Let p(a) = -7*c(a) + 6*f(a). Let d = 4 - 8. What is the remainder when 11 is divided by p(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 15 (base 12) to base 10\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(350)*-5*5 + sqrt(350))\/(sqrt(49)\/sqrt(63)).\nAnswer: -360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ggscsksgydss. Give prob of picking 1 g and 1 c.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1851*n + 2487*n - 672*n - 1019*n.\nAnswer: -1055*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 30 is divided by (-117)\/39 + (7*2 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 2*p**3 - 52*p**2 + 9*p - 25. What is the tens digit of m(27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25399873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:56 AM and 2:35 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 54 plus -61553425014?\nAnswer: -61553424960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 103583707*-2.\nAnswer: -207167414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 556.6942 micrometers to kilometers.\nAnswer: 0.0000005566942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -788 = -5*q + 1107. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 1204, 4723, 10598, 18835, 29440, 42419?\n\"Answer: h**3 + 1172*h**2 - 4*h + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j and 1 e when three letters picked without replacement from {p: 2, w: 1, e: 7, f: 2, j: 6}.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide -60304 by 4.\nAnswer: -15076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose a + 4*o = 1120008, 2*a = 4*o + 886008 + 1353984. Suppose 11*z - 6*z - a = 0. What is z rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -12*u**2 - 3 - 21*u - 1 - 9*u**2 + 7*u**2. Let k(y) = 14*y**2 + 22*y + 4. Let m(w) = 3*k(w) + 4*q(w). Factor m(l).\nAnswer: -2*(l + 1)*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -10, -4, -5509859.\nAnswer: -5509859, -10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(170) - (-4*4*sqrt(170) + sqrt(170))) + sqrt(170))\/((sqrt(90)*4)\/sqrt(9)).\nAnswer: 17*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 37 = 3*n + 113, -3*j + 5*n + 158 = 0. Calculate the remainder when 136 - 3\/3*-1 is divided by j.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 61 + -27. List the prime factors of s.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (14 + -15 + 4)*(0 + 4). Calculate the greatest common divisor of d and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*c + 232 = 3*y - 51*c, 0*y + 4*c + 8 = 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 3147 = 1062. Suppose 71 + a = 61*i. Solve -23 = i*y + 17 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -5*b**2 + 1875*b + 15323. Determine s(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2 - -525545135?\nAnswer: 525545141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 223 a factor of 111788116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide -494 by -247.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 4 - 30*h**2 + 5*h**2 + h**3 + 16*h**2 - 2*h**3 - 4*h. Calculate n(-8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + m + 3 = 0. Suppose 4*r = m*z - 20 - 77, 4*z + r = 142. Solve -3*p = h - 10, 0*p = -4*h + 3*p - z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -11*b**3*r + 35*b**2*r**3 - 4*b**2 + r**3 + 71*r + 49 with respect to b.\nAnswer: -33*b**2*r + 70*b*r**3 - 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gnmgpgpmmkbg. What is prob of sequence gnk?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 86\/63 and -79\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (7 - 3 + 3)*(-2*u + 7 - 7)*(-2*u**3 - 2*u**2 + 2*u**2)*(0*u - 3*u + u)*(-6 + 0 - 3).\nAnswer: 504*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 16 = -2*j. Let v be j\/(-18) + 372\/27. What is the highest common factor of v and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/3 in -9, 20, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.5 + 0.4. Let d be (-52983)\/897 - 6\/(-39). Let n = -59 - d. Which is the smallest value? (a) n (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.199*-1402081\nAnswer: -279014.119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rrkrkekkkkkkekgkkee. Give prob of sequence ergk.\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) be the second derivative of h**5\/60 + h**4\/12 - h**3\/2 + h**2\/2 - 4*h. Let l(m) be the first derivative of s(m). Determine l(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15 + (-1 - 6 - -1) + -56 + 30.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*t - 158 + 26. Let o = 37 - t. What is the remainder when 19 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(6\/7)*m**(6\/7))**(-44))**(2\/61) assuming m is positive.\nAnswer: m**(-1056\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*r + 6*r = 11*w - 26, 20 = 4*r - w for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-25)\/(-25) + (-2)\/5. What is the smallest value in k, 0.1, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -274771.9845 rounded to 0 dps?\nAnswer: -274772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1 + 20\/5 + -3. What is the third derivative of -6*q**6 - 5*q**6 - 20 + 12*q**d + 20 wrt q?\nAnswer: -1320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:28 PM and 5:33 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o\/(o*((o\/(o\/((o*o*o**0)\/o)*o))\/o)\/o))**(-1\/14)*(o\/o**5)\/o**2)\/(o**(2\/9)*o*o**3*o)**(-9) assuming o is positive.\nAnswer: o**(286\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -258\/11 or 13\/96428?\nAnswer: -258\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ifii when four letters picked without replacement from {i: 3, f: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 271925.\nAnswer: 5, 73, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-9\/4)*s)\/(s*s**(-7))*s**(-11)*s**6 assuming s is positive.\nAnswer: s**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1188 and 72.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 34657 a multiple of 439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = 128*t - 5440. Calculate s(31).\nAnswer: -1472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/g**(-10))\/g*(g\/((((((g\/(g*g*((g*g**8)\/g)\/g*g*g)*g)\/g*g*g*g*g*g)\/g*g)\/g)\/g)\/g))\/g)**(-18) assuming g is positive.\nAnswer: g**(-324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lgww. What is prob of picking 1 l and 1 g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 4289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 102*g - 171 - 156 - 81 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -w - 1. Let s be j(-8). Suppose -t - 3*i = -s, 4*i + 0*i - 9 = -t. Let v(m) = 9*m - 273*m**2 + 272*m**2 - t - m. What is v(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 124518145339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -4\/11, 18235, -163\/6.\nAnswer: -163\/6, -4\/11, 18235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*c + c + 2*h + 86, -14 + 39 = -5*h for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 3117338 - 0.07\nAnswer: 3117337.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 198, 2\/3, -125\/3, 0.1, 0, 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3098*h**3 - 1037*h**3 - 1032*h**3 - 196 - 1031*h**3.\nAnswer: -2*h**3 - 196","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (-58 - -74 - 16) + 19 + -3\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -4 (b) -3.2 (c) 1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3 (b) -7 (c) 0.03879851\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (22*a + 10*a - 20*a - 36*a - 44*a - 49*a)*(-2 + 0 + 0) in the form z + w*a and give w.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) be the second derivative of a**3\/2 + 6*a. Let y(v) = 2*v**2. Give y(o(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = l - 3*l + 4. Suppose -4*r + l - 26 = 0. Let q be ((-3)\/(-9))\/((-1)\/r). Solve -2*t = -6 + q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b, 1 s, 1 y, and 1 r when four letters picked without replacement from rsryybsrss.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = 8 - 6. Suppose 27 = z*t + 11. Suppose 0 = 2*p - a - 6 - 6, 3*a = -p - t. Solve -p*c = c + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1 - 1. Let k = -19 + 33. Let f be ((-7)\/k)\/(2\/(-4)). Put 3, f, l in increasing order.\nAnswer: l, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 223 minutes before 7:14 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1 - (3885\/(-9) - 5\/15). Suppose -2*a - 4*g - 498 = -68, 2*a + 3*g + x = 0. Let u = a + 340. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1269*k = 166032 - 331002 for k.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-3 + 4 + 0)*(3*p + 2*p - 3*p) - 2*p + 2*p + 10*p)*(-4*p + 5*p - 3*p).\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 13*-0.1\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + (-3 + 4 - 4) + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.138 plus 0.14774?\nAnswer: 0.28574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -33*z**2. Let n(v) = 3921*v. Calculate o(n(c)).\nAnswer: -507349953*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + (2 - -3 - 2) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 5754*v - 28824. Give w(5).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 3312121 - -12?\nAnswer: 3312133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) be the third derivative of r**5\/60 - 3*r**4\/8 - r**3 + 2*r**2. Let o(a) = 72*a + 443. Let j be o(-6). List the prime factors of d(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2.3 + 0.7. Let a = -3.3 + i. Sort a, -3\/2, -0.1 in descending order.\nAnswer: -0.1, a, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 2641084888?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/11, 5, -94, -1 in descending order.\nAnswer: 5, 2\/11, -1, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 41.77123ml in litres?\nAnswer: 0.04177123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 59718 * 2\nAnswer: 119436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/2, 4, 9, -0.08 in ascending order.\nAnswer: -0.08, 1\/2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = 46*s - 48*s - 15, 4*s + 22 = -2*p. Let r(k) = 3*k**3 + 5*k - 6. Calculate r(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.159475738 rounded to 5 decimal places?\nAnswer: -0.15948","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 40*a - 30*a - 1800. What is the least common multiple of 6 and a?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (19 - 18)\/((-33)\/9). What is the fourth biggest value in i, -0.5, 0, 2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3.9209 - -3.85. Round s to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*z - 3*d + 27, z - 3*d = 4 + 5. Calculate the lowest common multiple of 11 and z.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -x**2 + 5*x + 13. Give t(9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose u = 11 - 6. Suppose 4*d = u*r - 77, -2*d - 29 - 16 = -3*r. Let x = r + -14. Sort -3, x, -10 in decreasing order.\nAnswer: x, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) be the first derivative of 1 + 1\/4*v**4 - 1\/2*v**3 + 0*v**2 + 3*v. Let c(g) be the first derivative of u(g). Solve c(t) = 0 for t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.871 + -494.\nAnswer: -493.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*h - 23*h + 112*h)*(2*h - h - 11*h)*(-4 + 1 - 1).\nAnswer: 3440*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = 3*f**2 + 29*f - 8. Give x(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -67 (base 14) to base 10.\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -w + 6. Let c be j(1). Suppose -2*l + 312 = c*g, -g + 5*g + 3*l = 251. Suppose -6*k = -418 - g. Calculate the greatest common factor of 32 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7 + -2 - (-12 - (-9 + 8))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(-36)*(((l*l\/(l*l**1))\/l*l)\/l)\/(l**(2\/11)*l)*l**(-10)\/l**(-8\/3) assuming l is positive.\nAnswer: l**(-1502\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 11032 and 1417612.\nAnswer: 2835224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 24477 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -7*g**3 - 7*g**2. Let j(m) = m**3 + m**2. Let i be (13 - 15) + -5 + 1. Calculate i*j(u) - y(u).\nAnswer: u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2736 + -14137\/5. Let d = 907\/10 + l. Let u = -2894 - -63643\/22. What is the common denominator of u and d?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 16*f**2 + 2*f + 5. Suppose -t + 3 = -2. Let o(y) = -8*y**2 - y - 2. Let l(i) = t*o(i) + 2*w(i). What is the second derivative of l(r) wrt r?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -967, -875, -719, -499?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 25\/5741172 and 55\/275706.\nAnswer: 97599924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -24, -2\/3, -4\/7.\nAnswer: -24, -2\/3, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 1 u when two letters picked without replacement from {f: 1, y: 1, w: 2, i: 1, l: 1, u: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(1\/2)*s*s**(-3))\/(s**0\/s)**(-24)*s**7*s*s**(-1\/2)*s*s\/(s\/s**5)*s**(-6) assuming s is positive.\nAnswer: s**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-4\/11)*n**6)\/(((n**(-5\/2)\/n)\/n)\/(n*n**(3\/2)*n)) assuming n is positive.\nAnswer: n**(150\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide 1071860 by -267965.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 4 = -6. Let z be (5 - 3)*19\/v. Let l = z - -32. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 19\/774 and -8\/220461.\nAnswer: 1322766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 0*w - 1 + 5 + w**2 - 5*w + 0. Let b be y(1). Solve 4*i = -3*n + n, b = -i for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 2*v**3 - 12*v**2 + 18*v - 5. Determine s(5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 23 - 3. Let a be ((-30)\/25)\/(((-6)\/r)\/3). Suppose a*w - 52 = -w. What is the smallest common multiple of 248 and w?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2238*f**2 + 4*f**3 - 2*f**3 + 357*f**2 - 2045*f**2.\nAnswer: 2*f**3 - 3926*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = a**3 - 8*a**2 + 7*a + 2. Let i be p(7). Suppose -5*u = -5*r - 5, -i*u - 4*r + 9 = -5. Suppose 563 - 131 = u*f. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 279 + 0\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = k, 4*k - 17 = -4*q + 7. Suppose 633 = 6*t + q. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4.1 + -4. Let s = d - 0.5. What is the smallest value in 3\/4, s, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -5\/6, 5, 13, 9, 8?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -1231664 + 1231862 = -9*h for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*((4 + sqrt(1331) + 0 + 4)**2 - (-2*(sqrt(1331)*-1*-6 - sqrt(1331)))**2).\nAnswer: -176*sqrt(11) + 131705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-8)\/24)\/(3\/27).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6)\/4*1228\/(-921)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -d**4*t**2 - 3587*d**3*t**2 + 2*t**2 - 70*t + 5 with respect to d.\nAnswer: -4*d**3*t**2 - 10761*d**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1765*s**4 + 9*s**3 - 4838 wrt s.\nAnswer: -7060*s**3 + 27*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) be the first derivative of -52\/27*o**3 + 79 + 1\/18*o**4 + 169\/9*o**2 + 0*o. Factor a(l).\nAnswer: 2*l*(l - 13)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -10\/7 in 3\/2, -2, -2\/3, -10252, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -431 + 1301 - 440 - 430 + 2*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor 59\/2*g**2 - 1\/2 - 29*g.\nAnswer: (g - 1)*(59*g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10890806 is divided by 4819?\nAnswer: 4685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2*(4 - (-6)\/(-4)). What is the third derivative of -z*b**4 + 5*b**4 - 14*b**2 - 12*b**4 wrt b?\nAnswer: -288*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-30736523 + -3)*3\/(-6). Suppose -n - 1131737 = -m. Round m to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 5714223 + 0?\nAnswer: 5714223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-16)\/(-72) - 34\/72. Let t = y - 0. Which is the fourth biggest value? (a) 0.4 (b) -1 (c) t (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1360783?\nAnswer: 1360783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -620744*n + n**2 + 620744*n.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 4142 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1 - -2. Let d(x) = 2*x + 3. Calculate d(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -8426, -8433, -8438, -8441, -8442?\n\"Answer: y**2 - 10*y - 8417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1814.\nAnswer: 2, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 13\/5 of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -43 - -34. Let m(f) = -3*f - 7. Let n(o) = o + 3. Calculate a*n(d) - 4*m(d).\nAnswer: 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 3, d: 1, h: 4, r: 2}. What is prob of sequence rii?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 34212*f - 34212*f - 11*f**3 - 10*f**3.\nAnswer: -21*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*x - 3*x + 25. Suppose 3*f = 5*p + 2, -5*p - 4*f - 18 = -44. Let j be p\/(-11) + (-342)\/(-66). Calculate the highest common factor of x and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2155266*f**2*z**4 + f**2*z - 173*f**2 + 2*f*z - 48*f - z**5 - 8 wrt z?\nAnswer: -25863192*f**2*z**2 - 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 18213 = 18218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 77177945?\nAnswer: 5, 13, 1187353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 243632695 to the power of 1\/2, to the nearest integer?\nAnswer: 15609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 438116 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: Is -182\/283217 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 13543 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:13 AM and 1:39 PM?\nAnswer: 686","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 3, k: 3, v: 1, g: 4}. Give prob of sequence xkk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 82 in 5, -1, -0.46, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) be the first derivative of -19 - 33 - 32 - 26 + 59*l**3 + 24. Let c(g) = g. Determine u(c(t)).\nAnswer: 177*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 55 and 97493.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*o - 383 - 156. What is the remainder when o is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 2, m: 17}. What is prob of picking 1 m and 1 a?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -g**2 - g - 1. Let w(v) = 3*v**2 - 10*v + 5. Let j(f) = 4*n(f) + w(f). Suppose s - 4*b + 22 = 4, s + 8 = -b. What is the units digit of j(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -p**3 - 23*p**2 - 48*p + 134. Determine c(-20).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + 322 = -i - 4*w, 4*i - 2*w = -1278. Let x = i + 712. Let g = -265 + x. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 389566, 389572, 389578, 389584?\n\"Answer: 6*v + 389560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (3\/(-3)*62)\/(51*(-180)\/4590)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 310797935 to the nearest integer?\nAnswer: 17629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 562803119, 562803124, 562803131, 562803140, 562803151?\n\"Answer: m**2 + 2*m + 562803116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3, -0.9, -2, 1\/4?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3828 and 20.\nAnswer: 19140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 76254.33 months to years.\nAnswer: 6354.5275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be 166\/(-1245) + 77\/15. Let j = -105 + 105.044. What is the third smallest value in s, j, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sssussurssuur. What is prob of sequence sr?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -43 + 26c5?\nAnswer: 2682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0.0049 or 19\/32?\nAnswer: 19\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a = 93 - 63. What is the highest common factor of 90 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -h + 0*h + 0*h**2 + h**3 - 7*h - 14 - 5*h**2. Suppose 3*k + 2*k = 35. Let g be q(k). What is the highest common divisor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 1629 - 2650 = 5*w, -4*w - 8534 = -2*o. List the prime factors of o.\nAnswer: 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 1, c: 1, n: 1, d: 1, w: 1}. Give prob of sequence djwn.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.6 + -0.1. Suppose 0 = -h + 2. Let f be (1 - h)*((-6)\/33 + 0). Which is the third biggest value? (a) f (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.0172 - 0.5388. Let u = x - 10.104. Round u to zero dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*a + 6, 90838 = 2*d - 0*d - 5*a. Let s = d - 102424. 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: Sort -53, -8, 5 in ascending order.\nAnswer: -53, -8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 451.3969t in nanograms?\nAnswer: 451396900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -17\/1320 and 34\/165.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-4 - -1)*-2 + (-11)\/23*13. What is the third biggest value in 4, t, 2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 43933622 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -60*z**4 - 26855*z**3 - 15605*z**2 + 17895*z + 6705 = 0 for z.\nAnswer: -447, -1, -1\/3, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 0.0877253ml?\nAnswer: 0.0000877253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3287 is divided by 66.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 2, b: 1, z: 1, w: 1, l: 2}. Give prob of sequence bl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:16 PM and 12:44 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -139 (c) 3 (d) -1\/3 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r = -0*r + 16. Suppose -37 = -4*j + 3*q, -3*j + 47 = 2*j - r*q. Let y = 0.5 - -1.5. Which is the second smallest value? (a) j (b) y (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/5? (a) -1\/5 (b) 546\/5 (c) 4 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 21002 (base 4) in base 7?\nAnswer: 1454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 128\/(-17472)*-39 - 76\/(-126).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 12652 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 31211 (base 7) in base 2?\nAnswer: 1110111100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 2*b - 15. Let u(p) = 1. Let j = 12366 + -12365. What is j*h(m) + 6*u(m)?\nAnswer: 2*m - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 75649?\nAnswer: 7, 101, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fgfgfggfggbfg. What is prob of sequence fb?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6565000.\nAnswer: 2, 5, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose j - 2*j = 5*v - 15, 10 = 2*v. Let y = 15 + j. Suppose 2*q**3 + y*q**2 + 7*q**2 - 8*q**2 = 0. Calculate q.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k + 98 = 107. Suppose -5*o + 0*o = 0. Suppose -3*y + o*y - 7 = 4*h, h + 6 = -5*y. Which is bigger: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.2 times 975.72\nAnswer: 195.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1684*o**4 - 338*o**4 + 929*o**4 + 16*o**2 + 1120 - 9*o**2 - 1123 + 172*o wrt o?\nAnswer: 54600*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 490, 359, 132, -197, -634?\n\"Answer: -h**3 - 42*h**2 + 2*h + 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 187*y**5 + 16*y**2 - 1439*y wrt y?\nAnswer: 3740*y**3 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -6*q + 11. Let p be n(0). Solve -4*m - 2*s = -6, 0*m = m + 3*s + p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 4*h**3 - 812*h**2 + 8128*h + 61440 = 0. What is h?\nAnswer: -5, 16, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express -3*x + 2*x - x + (x - 5*x + x)*(-1 - 2 + 4)*(-1830 + 5838 - 2652) in the form m*x + k and give m.\nAnswer: -4070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 508 = -5*r - 77. Let g(c) = c**3 - 5*c**2 - 3*c - 5. Let z be g(5). Let d be z\/(r\/111 - -1). Round d to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7879934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/(a\/a**1))**(27\/7))**(2\/39) assuming a is positive.\nAnswer: a**(18\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 667 minutes before 1:02 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand -h + 0*h + 0*h + (-3*h + 4*h + 2*h)*(-1 + 2 - 2) + h + 6*h - 5*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 107.0162 litres in millilitres?\nAnswer: 107016.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11982990.\nAnswer: 2, 3, 5, 399433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -1, -5, -240, 0.1, 28, -2\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 1648450 - -1?\nAnswer: 1648451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide -1344 by -97199.\nAnswer: 1344\/97199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -30, -2, 60, 174, 358?\n\"Answer: 3*l**3 - l**2 + 10*l - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -j**3 - 4*j**2 - 2*j - 6. Let q be v(-4). Suppose 2*o = -o + p - 2, 5*o - q*p = -5. Solve -2*a + o + 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2493371?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = -335 + 339. Suppose -3*h - 4*d = -22, -n*h - 2*d + 38 = 2. Let g(b) = b**3 - 11*b**2 + 11*b - 15. What is g(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 21 + -8. Solve -4*c = -k - 4 - r, -3*c + 4*k = -16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-48 - (-7890)\/180)*(-2 + -4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 29857794 is divided by 156.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/3 in 0.62, -0.3, 8533?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3090258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1143*p + 553 - 553 to the form n + y*p and give y.\nAnswer: 1143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -44*n**2 - 11*n + 146. Let k(f) = 44*f**2 + 11*f - 147. Let s(v) = -5*d(v) - 4*k(v). Let r be s(7). Calculate the highest common divisor of 51 and r.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 84\/117 - (-36)\/(-702). Factor v*d + 0 + 2*d**2 + 4\/3*d**3.\nAnswer: 2*d*(d + 1)*(2*d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 2 = -s, 4*s - 5 = -5*y + 3. Suppose -q - 14 = 5*f, -2 = 3*q + 4*f + 7. Let g be (y - q) + 1 + 5. Solve g*x + 2*i - 9 = 7, -4*x + 14 = i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1060 divided by 212.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) be the first derivative of 4\/3*w**3 + 120*w + 34*w**2 + 200. Suppose n(p) = 0. Calculate p.\nAnswer: -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -259*x + 130*x + 9 = -128*x. What is the remainder when 6603 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 630 times -4?\nAnswer: -2520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 6 = -10. Let n be 0 + (-10)\/8*g. Let x be (0 - 30\/(-36)) + 1\/6. Solve -4*u - x = -f, f + 0*u - n*u = 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 38*w - 35*w - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 14 + 141*h + 59 + 69 + 3 + 90 wrt h.\nAnswer: 141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 10241173 and 3462.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3685, 3699, 3713, 3727, 3741?\nAnswer: 3755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -1423.75616 to zero dps.\nAnswer: -1424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 43 + -57 + (11 - 0) - -5 - -47.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = 2*o. Let t(u) be the third derivative of u**5\/15 + 8*u**2. Calculate k(t(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 93.7955 litres to millilitres.\nAnswer: 93795.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) be the first derivative of j**4\/6 - 3*j**3\/2 - j**2\/2 + 2. Let r(t) be the second derivative of a(t). Let p = 1795 - 1789. What is r(p)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:21 PM and 10:21 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = 11\/7 + -2. Let q = 17 + -17.48. Let w = 0.02 - q. Which is the third biggest value? (a) w (b) -5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -40327.3 + 40327. What is the nearest to 14 in 4, d, -5, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -9*t**2 - 7*t + 1. What is q(-4)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = -6 - -5. Let s = -6 - r. Let o = s + 4.974. Round o to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41*q - 31178 = -27*q. Is q < -2226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:51 PM and 12:58 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 195 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 4*x - 30 = 0, 4*x - 22 = 17*y - 19*y. Suppose -c + y*c = 360. What is the remainder when 115 is divided by c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 141793 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 521133 is divided by 112.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4918 is divided by 2341.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1\/(3\/(12\/8*2)). Let x(d) = -3*d - y + 7 + 0*d**2 + 0 - d**2. What is x(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3.9 - 3.900054. Round j to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1 - 0. Which is greater: 1\/8 or g?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3490321.3427 + 0.2?\nAnswer: 3490321.5427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 10225 and 2175062?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is a5e3 + -2?\nAnswer: a5e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 15278.732 to the nearest one hundred.\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1217*q**3*u**5 + 119*q**3*u**4 - 4*q**3*u**2 + q**3 + 260*u**2 + 2*u wrt u?\nAnswer: 73020*q**3*u**2 + 2856*q**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (-435)\/330 - 12\/66?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 2 + 22*f - 1 - 11*f.\nAnswer: 11*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -2, 3, 997, 32, -1, 39, 0.3?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 1, c: 2, h: 2, n: 1}. Give prob of sequence xhn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1645432 and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -27*p**2 - 35*p + 146. Let f be o(5). Let w = -220 - f. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 90 = 5*t - 0*f + 2*f, -4*t + 2*f + 72 = 0. Calculate the smallest common multiple of t and 39.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 1372844, 1372842, 1372838, 1372832, 1372824, 1372814?\n\"Answer: -v**2 + v + 1372844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (-1 + sqrt(65)\/(sqrt(60)\/sqrt(48)))**2.\nAnswer: -4*sqrt(13) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -106*j + 14070 = 564*j for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 1821*l + 74304. What is w(-41)?\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -192, -193, -194?\n\"Answer: -b - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) be the first derivative of p**3\/3 - 7*p - 1. Suppose b + 4*b - 30 = -5*j, 0 = -3*b. Is n(j) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2950470197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -t**3 - 2*t**2 + 3. Let s be (-306)\/90 - (-4)\/10. Let y be p(s). What is the second derivative of -305*m + y*m**4 + 299*m - 9*m**4 + 24*m**4 wrt m?\nAnswer: 324*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 82511 and 34892?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 3991 and 136708.\nAnswer: 41969356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 741 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k = -557 - -565. Calculate the smallest common multiple of k and 171.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 5.036568 - 0.5\nAnswer: 4.536568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 105600790 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) be the third derivative of -k**7\/105 - 43*k**6\/15 + k**4\/12 - 1326*k**3 + 9*k**2 - 7*k + 6. What is the first derivative of r(l) wrt l?\nAnswer: -8*l**3 - 1032*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -38*k = -23*k - 60 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**41*x*x*x**(-1\/40)*(x**(-1\/2)*x)\/((x*x\/(x\/(x\/(((x*x*((x**(4\/3)*x)\/x)\/x)\/x*x)\/x)))*x)\/x) assuming x is positive.\nAnswer: x**(5137\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:08 AM and 7:20 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = t**3 + 17*t**2 - 48*t - 790. Give s(-17).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve l + z = 14, -3366*z - 216 = 4*l - 3378*z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -z**3 - 3*z**2 + 4*z + 1. Let j be m(-4). Suppose 0 = 2*s - s + j. What are the prime factors of s*(2 - 4)*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-512)\/2*(-2)\/4. Let r = -509\/4 + c. What is the third biggest value in r, -0.3, 4\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 278721649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 20774780 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**7)**(-11) assuming n is positive.\nAnswer: n**(-77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-24 + -2 + -3)*1. Let v = -25 - o. Solve -v*q + 2*l - 6*l = 8, -3*q + 2*l = -19 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -22.16489 rounded to 1 dp?\nAnswer: -22.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/(a**(-1)\/a)*a)**(-13)*(a\/a**(-1\/4))**(21\/2) assuming a is positive.\nAnswer: a**(-311\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) be the third derivative of d**8\/16128 + d**7\/4032 - d**6\/288 + 2*d**5\/15 + 16*d**2. Let u(v) be the third derivative of m(v). What is s in u(s) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w*w*w*w*w**27*w*w**(-6))\/(w**(4\/7))**(-24))**(16\/7) assuming w is positive.\nAnswer: w**(4448\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:49 AM and 2:23 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -5*b**3 - 9*b**2 - 7*b. Let i(f) = 2*f**3 + 5*f**2 + 3*f. Let z(w) = 68*w - 279. Let c be z(4). What is c*i(n) - 3*k(n)?\nAnswer: n**3 - 8*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -105*g**3*q**2 - 99*g**2*q**2 + 2*g**2*q wrt g.\nAnswer: -630*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -97\/8 and -65\/19878.\nAnswer: 79512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -2*q**2 + 17*q - 5. Let l(h) = -3*h**2 + 26*h - 7. Let o(k) = 8*d(k) - 5*l(k). Determine o(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 570 a factor of 26203690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = -2*n - 0*n - 6, 0 = 2*l - n - 15. Solve r - 37 = -l*x - 13, 4*x = 2*r + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9674722 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 591033?\nAnswer: 3, 19, 10369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**(4\/11)\/r*r*(r*r**(2\/45)*r)\/r*(r**(-7))**(-18) assuming r is positive.\nAnswer: r**(63067\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3\/(81\/63)*15 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (5\/(-1))\/(65\/(-78))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1*1*-2 + (7 - -8). Let m = -21 + 27. Let x be (4 - m)\/4*-8. Solve 0 = -u + x*h + 4, 4*u - 4*h = b + 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -i**2 - 5*i. Let q(a) = 14*a - 15. Let l(j) = 22*j - 24. Let d(o) = 5*l(o) - 8*q(o). Give 2*c(g) - 5*d(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -78 (b) 3\/5 (c) -99.9 (d) -0.1 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: What is -10020 (base 3) in base 10?\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 2404441 - -3?\nAnswer: 2404444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -901, -4\/5, -0.14, -1, -2, -9, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.088 in 12, -1.37, -0.1, -5, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) be the first derivative of 0*q + 0*q**5 - 11\/7*q**7 + 0*q**4 + 0*q**6 - 15 + 0*q**2 + 5\/3*q**3. Find the third derivative of j(o) wrt o.\nAnswer: -1320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) be the third derivative of i**10\/1008 - i**6\/90 - 5*i**3\/6 + 3*i**2. Let s(k) be the first derivative of w(k). Find the third derivative of s(h) wrt h.\nAnswer: 600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 1315*m**3 - 1318*m**3 + 3 - 3 - 25*m**2 - 50*m + 54*m in the form i*m**3 + q*m**2 + n + t*m and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 15\/4 of a year?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*r**2 + r**2 + 2*r**2)*(0*r + 0*r + 2*r**3) + (-4*r + 3 - 3)*(2*r**4 - 2*r**4 - 3*r**4).\nAnswer: 10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g = -26 + 79. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 132 - 127. Sort -2, 12, x in decreasing order.\nAnswer: 12, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9043.4 - -40677645.\nAnswer: 40668601.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l = -13945 - -24755. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 77493c (base 14) to base 8\nAnswer: 17337212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-10942)\/(-7) - 5\/35. Suppose -95*g = -92*g - f. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 251 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2 + (-5 - (1 - -1)). What is the common denominator of 77\/(-55)*(-10)\/(-4) and (n\/(-12))\/(2\/(-10))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -6139 by 233.\nAnswer: -6139\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(1\/5))**(3\/11))**32\/((((p\/(p**(-1\/3)*p))\/p)\/p)**(10\/13))**12 assuming p is positive.\nAnswer: p**(12248\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 562 is divided by 71?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -s**3 + 7*s**2 + 4. Let l be r(7). Let p(h) = h - l*h + 2*h. Let c be p(3). Round c to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:59 AM and 12:49 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ddqgiyddkikq. Give prob of sequence kgyi.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1196461 and 11903773?\nAnswer: 702322607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is (87\/(-116))\/(18\/(-98)*938\/(-804))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 81275 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 + 1 - 6 - (-30 + -10 + 55).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 41181*t - 41181*t - 4*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 61 divide 1098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 2431999931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lbsuumu. What is prob of picking 1 s and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 12432*j**4 + 163*j**3 + 15757689*j**2?\nAnswer: 298368*j + 978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(45)*-1)\/sqrt(5) + sqrt(9))\/(sqrt(15)\/sqrt(5)*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 1 u when two letters picked without replacement from {u: 3, v: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1991 and 11584?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 119032*t**4 - 78*t**2 - 477*t - 45534.\nAnswer: 1428384*t**2 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = 55*y**3 + 815*y**2 + 17*y + 36928. Let n(r) = 7*r**3 + 102*r**2 + 2*r + 4617. Let w(a) = -17*n(a) + 2*u(a). Differentiate w(t) with respect to t.\nAnswer: -27*t**2 - 208*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -214431136 divided by 2?\nAnswer: -107215568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 1.7 and -18641276.35?\nAnswer: 18641278.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:29 PM and 6:52 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 2*t - 9 + 2 - 1 + 4. Calculate n(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) be the first derivative of -21*w**2 - 27*w + 29. Does 10 divide y(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 211607 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: Suppose 2*j + 0*j = 0. Suppose 0*k - 3 = -k. Suppose j*d + 9 = k*d. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c = -5*c + 12. Let a(k) = k**3 - 6*k**2. Let r be a(6). Suppose s - 34 = -r*s. What is the remainder when s is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 26042 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 42*w**2 + 6*w + 11. Let y(n) = -14*n**2 - 2*n - 4. What is 6*f(h) + 17*y(h)?\nAnswer: 14*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) be the first derivative of -y**4\/6 - 2*y**3\/3 + 3*y**2 - 10*y\/3 + 24. Factor a(d).\nAnswer: -2*(d - 1)**2*(d + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*y**2 - 2*y**2 - 2*y**2)*(-2*y - 30 + 30) + 5*y**3 + 0*y**3 - 4*y**3 + 3*y**2 - 3*y**2 - 2*y**3 to p + i*y + l*y**2 + j*y**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*x = -16*x - 24. Put x, -2, 1\/8, -2\/15 in descending order.\nAnswer: 1\/8, -2\/15, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14620 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 3, w: 2}. Give prob of picking 2 x and 2 w.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = 10 + -7. Calculate the lowest common multiple of 2 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 194099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = h**2 - h + 5. Let x(u) = 6*u**2 - 57*u - 19. Let n be x(10). Suppose 21 = 8*z - n. Give c(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 13.2 + -13. Which is the third smallest value? (a) -1\/5 (b) -1\/2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3491, -1, 0.3, -3, 4\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -26*m - 14. Let j(r) = 9*r + 5. Give 17*j(p) + 6*x(p).\nAnswer: -3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-4)\/3)\/((-92)\/305325). Calculate the highest common factor of 177 and b.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be -9 - (-3 - -3)\/(-2). Let w(d) = d + 14. Let a be w(j). Let -72*s**2 + 9*s + a*s**4 + 51*s**3 + 0*s**4 + 30*s - 17*s**4 - 6 = 0. Calculate s.\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1737 + -1734. Solve 3*s - 2*c = -7, -b*c - 7 = -2*s - 20 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*z + s + 7, 2*z - 6*s = -s - 13. Let l(g) = -4*g**2 - 3*g**3 + 4 - 4*g**3 + 6*g**3. What is l(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -23\/5137764 and -32\/141?\nAnswer: 241474908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1005 + 1004.9. Sort 0.3, -488, c, 0.5.\nAnswer: -488, c, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -18932246, -37864392, -56796538?\nAnswer: -75728684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in eleven eighths of a millimeter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 624922 is divided by 1959.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y - w - 577 = -7*y, 0 = 4*w + 8. Suppose 4*j - 428 = -9*m + 13*m, -j + y = -3*m. List the prime factors of j.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000014115 rounded to seven dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 2572803655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 24\/11, 3\/2, -1872, 0.09.\nAnswer: -1872, 0.09, 3\/2, 24\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = j. Suppose -z + 2*z = 2*p + 11, 0 = -3*z + 3*p + 21. Let q(c) = c + 0*c - z*c. Determine y(q(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 222603 = 27054. Let s be (238365 + 1)\/((-10 + 2)\/(-4)). Let a = s - n. What is a rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/5 in -244, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -112 - -110202?\nAnswer: 110020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from dnndg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -10? (a) 4 (b) 7\/4 (c) -71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i be 0 + 1 - (5 - 6). Let j be (i\/(-5))\/((-2)\/2). Suppose j*n**2 + 0*n - 2\/5*n**4 + 2\/5*n**5 - 2\/5*n**3 + 0 = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 44 and 122563428.\nAnswer: 1348197708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 64360*37\nAnswer: 2381320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o be -3 + (247 - (2 - -2)). Suppose -5*f - 5*t + o = 0, -4*f - 3*t = -7*t - 168. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -0.17, -5, 1, -4, -1\/2, 586 in decreasing order.\nAnswer: 586, 1, 0, -0.17, -1\/2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/(-7) + (-4)\/14. Suppose u + 4*u + 40 = k. Is (-54)\/u + 1\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -76*f**4 + 12*f**3 - 3*f**2 + 456*f - 2. Let r(j) = j**4 - 4*j**3. Let s(z) = -d(z) - 3*r(z). What is the second derivative of s(t) wrt t?\nAnswer: 876*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 211.4947 millennia in centuries?\nAnswer: 2114.947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be (8\/10)\/((-192)\/480). Put 4, h, 1, 36 in descending order.\nAnswer: 36, 4, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-10)\/(-8))\/(2\/8). Suppose -o*n = -9 - 1. Solve -l + 15 = n*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 31430, 31425, 31418, 31409, 31398, 31385?\nAnswer: 31370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/8, 0, 1\/4, 168938 in descending order.\nAnswer: 168938, 1\/4, 1\/8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n be -12*((-15)\/(-6) - 3). Suppose l + 45 = n*l. Suppose 5*z - 3 = -4*h, 0 = -0*h - 2*h - z + l. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16686\/(-18144) - (-8 - -3)*18\/105.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -765.389 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p - 22 = 3*h, -2*p - 22 = 5*h - 4. Let y be 0*2\/p*1. Suppose y = 5*u - 9*u. Solve u = -2*t - 10 - 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -747\/4 - -187. What is the nearest to 1 in g, 1, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -51 + 5 + 26 + 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 59468 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1 + 4. Suppose -k - 6 = -4*k + j*r, 0 = 5*k + 5*r + 10. Factor -2\/5*y**3 + 0*y + k - 4\/5*y**2.\nAnswer: -2*y**2*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -27544*s**3 - 49018*s**3 - 127648*s**3.\nAnswer: -204210*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 26cb2 - be?\nAnswer: 26be3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 898727 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 508515?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -29288*b**3 + 33*b**2 - 71*b**2 + 38*b**2.\nAnswer: -29288*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5.17 + -5. Let g = u + -8.17. Is g less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -305 - -165. Let k = t - -21. Let h = -119.4 - k. Which is the nearest to h? (a) 1\/2 (b) 1\/6 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lltllllltltllllttll. Give prob of sequence tttl.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w = -3*n + 7*n - 2, -4*n - 5*w - 13 = 0. Suppose -7*c = -6*c + 3*s - 19, 57 = n*c - 5*s. Calculate the greatest common divisor of 38 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 134629037?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -90*(-9)\/(-72) + 10?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2f - 87?\nAnswer: -b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from skllekbslldkl. What is prob of sequence eb?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let -2*a**3 + 14*a**2 - 32*a + 24 = 0. Calculate a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide -24977 by 5.\nAnswer: -24977\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1.1 - 0.6. Let l be ((-5)\/8)\/(-1)*(-70)\/(-175). Which is the closest to l? (a) -0.2 (b) -8 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor s**4 + 20*s**3 + 117*s**2 + 162*s.\nAnswer: s*(s + 2)*(s + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-50)\/6)\/(14\/(-42))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 990853?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 87? (a) 3 (b) -0.7 (c) -2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -1130*q - 616 = -13347 - 14389 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b - 4*p = -16, 5*p = -b + 3*p + 8. Let n = 0 + b. Suppose w - 21 = -5*l, n*l + 24 = 5*l + 4*w. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: Is 10289987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 122*d**2 + 58*d + 36. What is the hundreds digit of v(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c = 7*c. Suppose -2*v = -c*v. Let j = v + 1. Solve j = 3*x - 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4*y**6*z - 266260*y**4*z - 24056568*y**2*z wrt y?\nAnswer: 480*y**3*z - 6390240*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let -2*n**4\/7 + 538*n**3\/7 + 8520*n**2\/7 = 0. What is n?\nAnswer: -15, 0, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**21\/b)**(-40) assuming b is positive.\nAnswer: b**(-800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = -360 + 747. Calculate the greatest common factor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -1010*a + 652*a + 7160 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) be the first derivative of -t**3\/3 - 6*t**2 + t - 327. Calculate r(-10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -2*y**2 + 3*y - 5. Let n(s) = -3*s**2 - 24*s + 0 + 29*s - 9. Give 4*n(j) - 7*q(j).\nAnswer: 2*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put -0.6, 0.2, -3\/4, 0.03 in ascending order.\nAnswer: -3\/4, -0.6, 0.03, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15150 - 15148 - 15136 + 7*x + 45434.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = -8 - -14. Which is the second smallest value? (a) 0.5 (b) y (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.01 + 2.99. What is the biggest value in c, -12, 2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (1\/7)\/(2\/2)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 295, 632, 993, 1384, 1811, 2280, 2797, 3368?\nAnswer: 3999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bu when two letters picked without replacement from bbbbbzsbbdzusbzz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sum 75921 and -0.6.\nAnswer: 75920.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -95302\/865 at least -109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -250*o**2. Let h(q) be the third derivative of q**6\/720 + 143*q**4\/24 - 240*q**2. Let b(c) be the second derivative of h(c). Determine r(b(f)).\nAnswer: -250*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 2*m**2 + 4*m + 6. Let k be c(-10). Let w = k - 81. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:52 AM and 2:38 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0 + 0.22. Let y = s + -0.02. Let z = y + -1.2. What is the third biggest value in z, -2\/9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 156 + 2253?\nAnswer: 2431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/(-26)*(-70)\/945*-27\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 5 + 3 - 17*z**2 - 7 as f*z**2 + l + h*z and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -13 (b) -18\/11 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -0.3 (b) -4 (c) 0.08 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1872 = -46*u + 1504. Let g(t) = 15*t + 108. What is g(u)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -13, 1, -0.1, 1\/5, 3\/13 in descending order.\nAnswer: 1, 3\/13, 1\/5, -0.1, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1 (b) 282 (c) 3 (d) -54.3 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 5411473.262 rounded to the nearest 100000?\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -21143, -21905, -23175, -24953?\n\"Answer: -254*v**2 - 20889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 213, -169, -5, -1 in increasing order.\nAnswer: -169, -5, -1, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y = 78*o - 75*o - 23, y - 18 = -4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 195 minutes after 8:06 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 3*y + 2*r = -18, -4*r = -y + 21. Suppose 5*x = 2*x - 5*s, y*x = s. Factor 0*t + x*t**2 + 0 - 2\/9*t**3 + 2\/3*t**5 - 4\/9*t**4.\nAnswer: 2*t**3*(t - 1)*(3*t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -3\/7, 5, 0.14, -1.7, -5, -4?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 25 + 14*q - q - 28. Let b be d(1). Suppose 10*z + b = 15*z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -8*g - 9. Let z(l) = -23*l - 27. Determine 17*y(a) - 6*z(a).\nAnswer: 2*a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = -51 + 50.7. Sort w, 4, -6.\nAnswer: -6, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 514 + -10792\/21. What is the second biggest value in -11\/3, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*w - 15 = 4*n, 5*n + 124 = 2*w + 114 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 479\/4 + -370\/3. Calculate the common denominator of r and -35\/838.\nAnswer: 5028","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/10*0\/(-245)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -1274ff (base 16) in base 13?\nAnswer: -334751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 67343 rounded to the nearest 100?\nAnswer: 67300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:05 PM and 1:48 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-5*(sqrt(99) + sqrt(99) + sqrt(99) + (sqrt(99)*2 - sqrt(99))) - sqrt(99))*4)\/(sqrt(1296)*2 - sqrt(1296) - sqrt(36)))**2.\nAnswer: 19404\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -297, 2, 4 in ascending order.\nAnswer: -297, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -f**2 - 12*f + 5. Let q be l(-12). Solve -x + 3*z + 13 = 0, 4*x - q*z - 23 = 3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -6*a**3 + 9*a**2\/2 + 147*a\/2 + 18.\nAnswer: -3*(a - 4)*(a + 3)*(4*a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 105684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c be 3 - (7 - 2)*1. What is the tens digit of 3\/c + 1572\/24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 76 + -45 + -39 + (2 - 41)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 200 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 4 - 18*c**2 + 8*c - 24*c**3 + 7 + 2*c**2 + 18*c**2. Is i(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -185 + 240 - (49 + -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does -8630184 = -8630183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -w**3 + 22*w**2 + 24*w - 33. What are the prime factors of i(20)?\nAnswer: 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 3200 and 64?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 169*z**5 + 6*z**2 + 1 wrt z.\nAnswer: 10140*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cccgccccgcccc. What is prob of picking 1 g and 1 c?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) be the third derivative of 1\/27*c**4 + 1\/945*c**7 + 166*c**2 - 7\/90*c**5 + 0*c + 1\/135*c**6 + 0 + 28\/27*c**3. Suppose p(j) = 0. What is j?\nAnswer: -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (9\/45)\/((-5 + 1)\/(-40)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -417\/4*k + 1\/4*k**2 + 415\/2.\nAnswer: (k - 415)*(k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3\/1676, -14\/3, -12\/29, -0.3, 1 in descending order.\nAnswer: 1, 3\/1676, -0.3, -12\/29, -14\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.023 less than -4?\nAnswer: -3.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -49*l**2 - 2204*l + 43. Determine a(-45).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 165 minutes before 2:13 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 353 minutes before 8:19 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 + 12*k - 1 - 37*k - 2 + 19*k.\nAnswer: -6*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -13216 = -189*q - 9625 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a = 79 + -81. Let k be a*(-5)\/5 + (-16)\/10. Let -2\/5 - 4\/5*v - k*v**2 = 0. What is v?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 11507621 to the nearest integer?\nAnswer: 3392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 453 minutes after 1:52 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -24*f**2*u**2 - 2*f**2*u - 5*f*u**2 + 733*u**2 wrt f?\nAnswer: -48*f*u**2 - 4*f*u - 5*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -4*h**3 - 3*h**2 - 2*h + 1. Determine v(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 6.023 - 6.423. Which is the third biggest value? (a) -0.8 (b) m (c) -5 (d) 0.5 (e) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24847.\nAnswer: 24847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = 10204.7 - 12681. Let l = 2440.3006 + u. Let d = -36 - l. Round d to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) be the second derivative of 3*p**5\/20 - p**3\/3 + p**2\/2 + 285*p. Let w be t(1). Factor -9\/11 + 6\/11*g - 1\/11*g**w.\nAnswer: -(g - 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 4*l - 3. Let g(p) = 9*p - p - 6*p - 1 - p. What is -a(r) + 3*g(r)?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = -59.8446 + -0.0554. Let b = -9.1 + i. Let s = 69.00000052 + b. Round s to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.0741008 + -579.9792992. Let x = s - -580. Round x to 3 decimal places.\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -d00 (base 14) to base 13\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Add together -0.5 and -15327778618.133.\nAnswer: -15327778618.633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*-3*(2*sqrt(162) - (sqrt(2) - (-4 + (sqrt(2) - sqrt(20)\/sqrt(10))))))**2.\nAnswer: -4896*sqrt(2) + 21384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 5379 less than -0.489683?\nAnswer: -5379.489683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*sqrt(52)\/sqrt(4) + (2 + sqrt(117) - sqrt(117)).\nAnswer: -sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6 + 11 + 29*w - 5 - 14*w.\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**6*w*w*w\/w**(-1\/2)*w*w*w**(3\/2)*w*w**1 assuming w is positive.\nAnswer: w**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c = -2*z + 11064, -z = 162*c - 165*c - 5528. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -1 and 11\/3221 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 1, w: 1, h: 2, g: 5, f: 8}. What is prob of picking 1 h, 2 f, and 1 d?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + 4160 = -1204. What are the prime factors of y?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 32 = -3*m + 3*d, 0 = -5*m - d - 49. Let q = 25 + m. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + 6 + -4 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:04 AM and 7:45 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = 13*q + 5. Let n = -5 + 7. Suppose -n*z = 4*w + 12 - 34, z = q. Solve 6*v = w*l + v, 5*l + 32 = -3*v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = q - 12. Let m be c(-13). Let h = -17 - m. What is the highest common factor of 72 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*1*sqrt(1377).\nAnswer: 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mrerermereremre. Give prob of picking 2 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -36 - (37 + -9 - 26)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) be the first derivative of 0*p**2 + 1\/60*p**5 + 0*p - 1\/3*p**3 - 1\/24*p**4 - 1. Let l(j) be the third derivative of n(j). Give l(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (34*(-3)\/15)\/((-1)\/5). Let n = k + -29. Suppose -n*s - s + 372 = 0. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1 + 0. Suppose 23 - 5 = 2*n + 2*w, 3*n + 5*w - 35 = 0. Let z = 7 - n. What is the smallest value in z, j, 1\/6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 105 and 54978.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = j. Let m be 3 + 8 + -4 + -2. Let n(c) be the third derivative of c**4\/6 - c**3\/3 - c**2. Calculate m*a(u) - n(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 6, v: 1, o: 8, z: 3}. Give prob of sequence oh.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*n**5\/7 + 9*n**4\/7 + 153*n**3 + 1365*n**2 + 3528*n.\nAnswer: -3*n*(n - 24)*(n + 7)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 720*q**2 + 47 - 33 - 14 to z + s*q**2 + m*q and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -k + 2. Let r be d(0). Let w be (r + 196)*(1 + 0). What is the greatest common divisor of 18 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1065448 is divided by 20891.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -7192, -28779, -64758, -115129?\n\"Answer: -7196*m**2 + m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -52*v = 15*v - 5953486. Let o be (-51238)\/v + 4\/7. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*z**2 + 3*z**2 - z**2)*(z + 2*z + 0*z + (-z + 3 - 3)*(-1 + 0 + 2)) + z**3 - 18*z + 18*z.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*j + 2*j + 2*j**2)*(40*j**2 - 127*j**2 - 213*j**2) + (6*j**3 + j**3 - 19*j**3)*(3 - 3 - j) in the form w*j**3 + u*j**2 + b*j**4 + t + l*j and give b.\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -5*z**2 + 28*z + 5. Let l(q) = -14*q**2 + 79*q + 15. Let x(n) = -17*k(n) + 6*l(n). What is x(5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 2*u - 2. Suppose -10 = -2*i + i - j, 2 = 3*i - u*j. Find the third derivative of 3*p**2 - 3*p**3 + 4*p**i + 0*p**6 + 3*p**3 wrt p.\nAnswer: 480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -x**3 - 2*x**2 + 9. Let d(j) = -668*j**3 + 8*j**2 + 15*j - 29. Let r(g) = d(g) + 4*h(g). What is the second derivative of r(z) wrt z?\nAnswer: -4032*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find p, given that -2*p**5 + 22152*p**4 - 61780402*p**3 + 2445512828*p**2 - 26627771160*p + 43967379856 = 0.\nAnswer: 2, 19, 5518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 4*j**2 + 3. Let d be (-4*2\/3)\/(4\/6). Let o be 16\/2 - (0 - (d - 1)). Let x(h) = 11*h**2 + 8. Determine o*x(p) - 8*b(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -1306, -2783, -4418, -6217, -8186, -10331?\n\"Answer: -z**3 - 73*z**2 - 1251*z + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = -23.5 - -24. Which is the third smallest value? (a) -0.9 (b) 2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zzez when four letters picked without replacement from {e: 1, v: 5, c: 1, z: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a**(-1))**29\/(a**(-7))**(2\/5) assuming a is positive.\nAnswer: a**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2781209?\nAnswer: 2781209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 166*c - 50. Is g(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 1217, 1275, 1369, 1499?\n\"Answer: 18*q**2 + 4*q + 1195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -58*q - 16. Let x(r) = 149*r + 34. Let c(b) = -5*n(b) - 2*x(b). Calculate c(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-48 - -27) + -7 - -63?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -413 (base 7) in base 16?\nAnswer: -ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00504037994 rounded to six decimal places?\nAnswer: -0.00504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -2 + 4*a**2 + 2*a**2 - 4*a**2 - 8*a. Let p(g) = 3*g**2 - 12*g - 3. Let v(u) = -5*p(u) + 7*q(u). Give v(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 10 + -16. Let m be 4 - 2 - (-15)\/k. Let f = 0 - 0. Is m at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (30\/(-55))\/((-45)\/330) - 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 649479802?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p - 4*z = 76, 6*p - 86 = p - 4*z. What is the highest common divisor of p and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 42500 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -177*v**5 + 8*v**4 + 4*v**3 - 17371*v**2 wrt v?\nAnswer: -10620*v**2 + 192*v + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 3, -0.08, 3\/10?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zccaaazcazaazcwzaac. What is prob of picking 1 a and 2 c?\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 984406 and 19342.\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -6*w**3 - 6*w**2 + 314*w + 21. What is the thousands digit of c(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -58*j**2 - 639*j + 16. Give z(-11).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1948*k**2 + 3841*k**2 + 2*k - 1550*k**2 - 2*k.\nAnswer: 343*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-13)\/(-3)*(-3)\/(-22) and -37\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 413*o**2 - 2780*o - 409. Calculate b(7).\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 4236737\/176 + -24072. What is the common denominator of g and 15\/32?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1282 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u be -199 + 0 + 15 + -12. Let p = u - -312. Suppose -p = -3*m + 175. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-54)\/(-5))\/1)\/(29\/4205*58).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) be the second derivative of 32*y**3 + 7*y**2 + 6*y - 1. What is the units digit of w(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3 - 1. Let v(n) = -4*n - 3*n**3 + 5*n**2 + 2*n**3 + n**k + 2 - 7. What is v(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 47 = -5*b - 42, l + 64 = -4*b. Let g(h) = -h**3 + 8*h**2 - 15*h + 2. Let k be g(5). Sort -4, b, k in increasing order.\nAnswer: b, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 4\/((-12)\/3)*1*-5. Let n(a) = -a**2 - a - 1. Let f(j) = 4*j**3 - 5*j**2 + 7*j + 9. Let m(d) = c*n(d) + f(d). Find s, given that m(s) = 0.\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 5\/12107564 and -73\/18161346.\nAnswer: 36322692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -20 divided by -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f = -3*v - 7, 4 = 2*f + 4*v - 16. Differentiate 4 + 3 - 2*z**f - 3 + z**4 wrt z.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 182418196 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.6199 and 55.63.\nAnswer: -34.485037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3051 is divided by 34.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -2*f + 4. Let t(r) be the first derivative of 5*r**3 - f*r**3 - 3*r + 5*r**3 - 4*r**3 + 3. Find the first derivative of t(d) wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 10 + -6. Let x(s) = -15*s**2 + 82*s + 308. Calculate the remainder when w is divided by x(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-5)\/15)\/(1\/(-1173)). Suppose 4*s - 209 = -3*d, 0 = -5*d - s + 5*s + v. Is d a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -24*k**2 + 44*k - 51. Determine m(1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 900\/(-756) + (1 - (-6)\/(-9)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) be the third derivative of -7*p**5\/60 - 1065*p**2. Let k(s) = 170*s. What is x(k(a))?\nAnswer: -202300*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x = 738 - 737.7. Which is the closest to 2? (a) x (b) -1\/3 (c) 16\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -42886980 by 10721745.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 163, 768, 1809, 3280, 5175, 7488?\nAnswer: 10213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) be the second derivative of 0*q**5 - 5\/28*q**8 + 0*q**6 + 0*q**2 + 0*q**7 + 0 + 0*q**3 + 7\/6*q**4 + 4*q. Find the third derivative of p(t) wrt t.\nAnswer: -1200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9954 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 245*s**2 - 30*s**2 + 302*s**2 - 29*s**2 - 175*s.\nAnswer: -2*s**2 - 175*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -453903, -1815566, -4084975, -7262124, -11347007?\n\"Answer: c**3 - 453879*c**2 - 33*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q**(2\/5)*q)\/q)**(3\/5)*q**(-1\/8)*q**(3\/7))**(-22\/9) assuming q is positive.\nAnswer: q**(-8371\/6300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yjjjjyjyjyjyyjjjjjy. Give prob of picking 2 y.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rrz when three letters picked without replacement from {z: 1, x: 1, r: 1, a: 1, s: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 470 is divided by (6 + -4)*(3157\/(-14))\/(-11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = s**2 - 12*s - 9. Let n(m) = m**2 - 12*m - 8. Let b(a) = 3*d(a) - 2*n(a). Let r be b(13). Solve 0 = 5*v - 5*y + 20, -r*v = 2*y + 5 + 7 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -48 + 51. Suppose -12 = o + b*o. Suppose 3*x + m = -2*m - 6, 0 = -4*x + 4*m - 24. Sort o, -5, x in descending order.\nAnswer: o, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 309 and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -2253240 rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 38817 and 2109.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -1.34*0.65\nAnswer: -0.871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3\/4 + (-44)\/80?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4746, 4790, 4846, 4920, 5018, 5146, 5310, 5516?\nAnswer: 5770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*q - 17*q - 12 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:01 PM and 7:10 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 570 and 326420.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) be the third derivative of z**4\/24 + z**3\/3 + 8*z**2. Let r be o(-8). Which is greater: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 1097*r - 23034. Let x be k(21). Let j = -5 - -9. Let n = 1.4 - 0.7. Which is the second smallest value? (a) x (b) n (c) j (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -15 - -39. Suppose 4*i = -2*y - 1148, 4*i + 5*y - 550 = 6*i. Let w be (-4)\/22 + i\/(-55). Solve -3*z = -w*j - 22, 5*z - 4*z - g = 5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -332 or -334?\nAnswer: -334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 36bb - 51c?\nAnswer: 319c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 55\/3 of a minute?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 428194\/7 at least 61172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2448825 is divided by 417?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 5*46142\nAnswer: 230710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1576 + 11*z**2 - 1576.\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -4, 8\/13, 2, 0.5, 6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 15*o**2 - 66*o - 167. List the prime factors of t(42).\nAnswer: 43, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 5 + -1 - (10 + (24 - 32))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3*c**3*q*u*w - 7*c**3*u*w**3 - 16*c**2*q*w + c**2*u + 2*c**2*w**2 + 2*c*q*w**3 + u*w**3 - 2*w**3 wrt w?\nAnswer: -42*c**3*u + 12*c*q + 6*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = -92 + 88. Let w be (-2)\/(0 + q - -3). Suppose -3*u = 5*p - 276, 92 = u + w*p - 6*p. What are the prime factors of u?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 q and 1 w when three letters picked without replacement from mzwwuzzmzqzqg.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -1303523 (base 8) to base 9\nAnswer: -612011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1 + -13. Let g be j\/21*(-6)\/14. Let b = -0.39 + -0.01. What is the second smallest value in b, g, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 3\/(-12)*8 - (-17 + 20)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vvvvvvv. Give prob of picking 2 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -28.45 + 2078050711.\nAnswer: 2078050682.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 977891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -10, -48, -112, -202, -318?\nAnswer: -460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3436 - -4424. What is the greatest common factor of n and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 749 is divided by 696?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 76 - (-18 - ((-21 - (-8 + 9 + -6)) + 6)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*s**2 + s**2 + 3*s**2)*(51035*s - 25526*s - 2 - 23*s**2 - 25555*s).\nAnswer: -46*s**4 - 92*s**3 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 1979 (base 15) to base 16.\nAnswer: 158a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 20109 is divided by 470.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12891*-0.05.\nAnswer: -644.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:28 PM and 9:52 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Do -21876169 and -21876183 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -22 and -15\/23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 162308329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = -168\/5 + 5178\/155. Let q = j - -7613\/93. Find k such that -20*k + 0 + 400\/3*k**2 - 595\/3*k**3 - q*k**4 = 0.\nAnswer: -3, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*b + 2*b**3 + 3*b + (1 + b - 1)*(3*b**2 - b**2 + 0*b**2) + (-2*b**2 + 2*b**2 + 2*b**2)*(2*b + b - 2*b) + 3 + 4*b**3 - 3.\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) be the first derivative of -h**4 + 3*h**2\/2 - 118*h + 308. What is the first derivative of p(o) wrt o?\nAnswer: -12*o**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 27845351.\nAnswer: 27845351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -1da9 (base 14) in base 7?\nAnswer: -21602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/5 in 3\/7, -1, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide -7260 by -3.\nAnswer: 2420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 minus -13.11?\nAnswer: 12.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 10? (a) -0.2 (b) -3\/5 (c) -45\/4 (d) -305 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 22 - -10022122002110201?\nAnswer: 10022122002111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = -19.08 - -0.08. Let r = f + 13. Let b = 20.1 + r. What is b rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 23*h - 48*h**2 + 4*h + 15 + 2*h**3 - 29*h + 40 wrt h.\nAnswer: 12*h - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:47 AM and 3:59 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 139.1922912 and -3?\nAnswer: 142.1922912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 222002020 (base 3) to base 5.\nAnswer: 1102024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c and 1 t when three letters picked without replacement from {y: 4, t: 2, c: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -o**2 + 71*o + 19. Let p(v) = v**2 - 69*v - 15. Calculate -5*a(z) - 6*p(z).\nAnswer: -z**2 + 59*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q - 12 = q. Let m be (4\/(-2))\/(1 + -2). Let v(p) = -2*p**2 + 3*p - 2. Let j be v(m). Are j and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3.598623, 4, -2 in decreasing order.\nAnswer: 4, -2, -3.598623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert -16a (base 12) to base 15.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2\/335, 1, 3, 0, -0.2, 3\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -26 divided by -7.\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 11 = -l - 4*l, -2*v - 5*l + 22 = 0. Calculate the remainder when v is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34 = u - 343. Suppose 33 = 2*h - u. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 90051*v**4 - 211*v - 535 wrt v?\nAnswer: 1080612*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -66, -2, 13, -10, 4, 5 in descending order.\nAnswer: 13, 5, 4, -2, -10, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 26.36008 decades in years?\nAnswer: 263.6008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 153 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 1228 times 1.1?\nAnswer: 1350.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 12366\/(-12)*(-2)\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0 - -2. Suppose -t*p = c - 8, -p - 4 = -c - 2*p. Solve -2*a + 0*a = c for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 3*p**4 - p**3 - 63*p**2 - 39*p + 20 = 0. Calculate p.\nAnswer: -4, -1, 1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*d - 6*d. Suppose -g + 5*k + 3 + 63 = d, 0 = -5*k - 10. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16919 - 17446 = 17*r for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*h - 5*h**2 + 4*h)*(-4*h**2 - 4*h**2 + 4*h**2).\nAnswer: 20*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -12, -20, -34, -54?\n\"Answer: -3*q**2 + q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -511, 0, -1736, -5.\nAnswer: -1736, -511, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -3*n**3 + n**2 + n. Let p(t) = 5*t**3 - 3*t**2 - 66*t. Give -p(y) - 2*z(y).\nAnswer: y**3 + y**2 + 64*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 22*m - 0*q + 5*q + 94, -268*m - 253*m - 2*q - 18 = -522*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 0 greater than -780\/1877891?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-14)\/28*(-2 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -h**2 + 128*h + 6724. Determine q(168).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*l - 386 - 31 - 6*l + (0 - 2 + 0)*(0 + 2*l + 0) to x + t*l and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00003152481 rounded to six dps?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vllz when four letters picked without replacement from {z: 4, v: 4, l: 12}?\nAnswer: 88\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*b**2*o + 72*b**2 - 15*b*o - b wrt b?\nAnswer: -4*o + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -0.3 * 0.32015\nAnswer: -0.096045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -8, 226534, -11, -4, -3 in descending order.\nAnswer: 226534, -3, -4, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1695, -1699, -1703, -1707, -1711?\nAnswer: -1715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4288 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + 10 + 6 = -b, -4*b - 4*s = 48. Let k(m) = 13*m**2 - 24*m + 13. Is k(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p - 2*d + 17 = 2*d, 0 = 2*p - 2*d + 4. Solve 0 = s - p + 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*f - 5*g + 229 - 202 = 0, 2*g = -5*f + 15 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g be 9*3\/(-3) + -3. Let n be g\/(-42) - 75600004\/14. What is n rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 27408 and 29424?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2011 - -201220201?\nAnswer: 201211120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 23928, 51829, 79742, 107673, 135628, 163613, 191634?\n\"Answer: k**3 + 27894*k - 3967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Let o = 1 + 0. Let g(m) = -m + 15. Let f be g(13). Suppose 2*w + 9*r = 4*r - 2, 14 = f*w - 3*r. Which is the closest to -0.1? (a) 0.1 (b) o (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = g**2 - 1. Let t be 0\/((3 - 5)\/(-2)). Let o(z) = -z**3 - z**2 + 2. Let w be o(t). Let n be l(w). Solve -n*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -43, -129, -273, -475?\n\"Answer: -29*q**2 + q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (4 - (-54)\/16) + (14 - 11) and -43\/44?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1000259 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is one sixteenth of a millennium in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.03 times 9?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 234206 - 0?\nAnswer: 234206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 238 is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 118761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/4 in 32\/4497, -1\/4, 4\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 107546 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1075*o + 776*o + 1668*o + 94*o - 425*o.\nAnswer: 3188*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = -31\/2 - -16. Let d = -0.14 + 8.14. Let t = 8.1 - d. Which is the nearest to 2? (a) l (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 195431 is divided by 596?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/1 + (-2)\/9*(-6)\/8?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 3*1179\/(-216) + 16. Let z = -4 + 3.6. Let i = z + -0.1. What is the closest to k in i, -0.1, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -2*z + 415. Suppose 0 = 4*i - 4*i - 4*i. Is l(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1492.2835 to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-4972)\/(-418) + 4\/38. Solve 14*w = k*w + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 12\/(-12) - 591*-1. What is the common denominator of 3\/7 and a\/15*(-2)\/4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -395*v + 557. Determine t(2).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l be 85\/(-20) - -4 - 111\/(-12). Solve 0 = -l*n + 15 + 21 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 1\/6 (b) -2\/7 (c) -0.038\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 2\/7 of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) be the second derivative of -2*c**7\/21 - 4*c**6\/15 + 2*c**4\/3 + 2*c**3\/3 + 4*c. Find q such that f(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 924\/(-539)*-1*(-21)\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -j**2 - 4*j + 14116. What is n(118)?\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 74 a factor of 18793311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 381062.\nAnswer: 2, 11, 17321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from {n: 1, k: 1, g: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.4 and 0.3268?\nAnswer: 0.7268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u be 0 + 5 + 0 - 3. Let b be 1\/u + (-105)\/(-30). Suppose -6*l + 2*l - 5*g + 236 = 0, 286 = 5*l + b*g. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 188 + -168. Let t be 1 - 5\/i - -3 - 3. Let y = -2 - -2.2. What is the third smallest value in t, y, -0.3, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-3)\/440*12 - 8\/(-44). What is the third smallest value in -29, -1\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*g + 5*c - 2, 2*g + 2*c - 4 = 16 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i*i**3\/i*i)\/i*i*i*(i**(2\/7)*i)\/i*i*i)**(4\/29) assuming i is positive.\nAnswer: i**(204\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -399.397221 + -1.6\nAnswer: -400.997221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -3125 (base 6) in base 8?\nAnswer: -1275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 25541911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h = -23 + 2. Let j(t) = t**2 - 4*t + 5. Let f(i) = -3*i**2 + 7*i - 9. Let b(g) = 2*f(g) + 5*j(g). Calculate b(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1942627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -197, -357, -489, -587, -645, -657, -617, -519?\nAnswer: -357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*b + 2*m = 52, -176*b + 32 = -181*b + 2*m - 36 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b*b**(-5)*b)\/b)\/b**(-5\/6))**(1\/15)*(b**(-3)*b*b\/(b\/(b*b\/b**(-1\/2)))*b)\/(b**(-7)\/((b*b**(-2))\/b)) assuming b is positive.\nAnswer: b**(283\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express -6*o - 8*o - 981 + 16*o + 73*o**2 - 5*o - 75*o**2 as y*o**2 + u*o + q and give q.\nAnswer: -981","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + (-3 - -2 - -5) + -7 - -27.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 + (-5 - -1) + (496 - 552).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) be the third derivative of -m**7\/105 + 317*m**6\/60 - 3509*m**5\/60 - 1977*m**2. Find the third derivative of o(l) wrt l.\nAnswer: -48*l + 3804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4470 and 39516.\nAnswer: 29439420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 2*h - 116 = 6*h, 5*h + 25 = 0. What is the greatest common factor of m and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 319 and 406?\nAnswer: 4466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:18 PM and 12:51 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2\/67 (b) 13\/864 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {l: 2, h: 8, w: 1, x: 1, d: 7}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1004, 4020, 9046, 16082, 25128, 36184?\nAnswer: 49250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 t and 1 w when three letters picked without replacement from {w: 3, r: 3, t: 5, x: 1}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.21438 - -0.01562. What is the nearest to b in -0.3, -4, 1\/11, 4?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 29\/5 of a century in decades?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve v**4 + 6816*v**3 - 1192530*v**2 + 15692096*v - 53750991 = 0.\nAnswer: -6987, 7, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1463825215 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1383 - -1836. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 7443214 + -4756827. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 21 (base 8) to base 4\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is (665\/(-57))\/(((-3)\/252)\/1) a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from swsssaaq. Give prob of picking 1 s, 2 a, and 1 q.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t = 82 - 78. Let r = 5\/58 - 181\/754. Put -2\/7, -3, t, r in decreasing order.\nAnswer: t, r, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4.1124314 rounded to one dp?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*j + 2*r - 11 + 27, 4*j - 3*r = 22. What is the greatest common factor of j and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 11) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1403194, -2806332, -4209470, -5612608, -7015746?\nAnswer: -8418884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3443?\nAnswer: 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 10702, 10955, 11208, 11461?\n\"Answer: 253*b + 10449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 10*f**2 - 2*f. Calculate the remainder when i(2) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8\/10 + 5166\/(-5670).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q - 2*x = -6020, -5*x - 10732 + 2690 = -4*q. Suppose 10700 - 4178 = 2*w. Let o = w - q. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 61\/950 and 81\/10.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*w**4 - 888*w**3 + 33768*w**2 - 456288*w + 2090928.\nAnswer: 3*(w - 254)*(w - 14)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by -208204?\nAnswer: 1\/208204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + 5*w = -3*k, 5 = -5*k - 4*w. Let t = 4 + k. Put 17, -2, t, -5 in decreasing order.\nAnswer: 17, t, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 4 - -0.13731483.\nAnswer: 4.13731483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 3\/4, -2\/19, 6767, -2, 2, -2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 28 and 2257339?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1388?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 2*n - 11. Let h be g(7). Suppose 4*y + 3*a = -82, 10*y - 7*y + h*a = -60. Which is smaller: -21 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -g**3 + 2*g**2 - 5*g - 17. Let q be v(-2). Solve 2*h = 5*b - q, 3*h + 3 + 0 = 4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 15263756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1 - -577125?\nAnswer: 577124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 17, -5\/9, 2, -0.1, 0.1 in ascending order.\nAnswer: -5\/9, -0.1, 0.1, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000003136 rounded to seven dps?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 2*j - 4 = 0, 6*l - 6*j = -4*j - 16. Sort l, -2, -186 in ascending order.\nAnswer: -186, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*r**5\/4 - 5*r**4\/4 - 25*r**3\/4 - 15*r**2\/4.\nAnswer: 5*r**2*(r - 3)*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -4*w - 8. Suppose -5*d - 56 = -4*u, 0 = -d - 2*u + 3*u - 11. Let j = -18 - d. Let i be c(j). Calculate the greatest common divisor of i and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 39*v**2 - 107*v**2 + 103*v**3 + 20*v**2 + 44*v**2 + 11*v**3.\nAnswer: 114*v**3 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o be -8 - (158*(-2 - -1) + 0). What is the greatest common factor of o and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 48 divided by 138.\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -3087*i - 26751 = -13636 + 30103 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 578654283 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -g**3 - 4*g**2 + 3*g + 5. Let z be q(-4). Suppose 9*r - 22 = 11*r. Let x = z - r. Solve 2*y - 5*j = -17, x*j = 5*y - 0*j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2.11 - -0.11. Let g = 1696363\/79 + -21473. Which is smaller: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12142799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -k**2 - k. Let w(o) = -24*o**2 + 3*o + 66. Let z = -145 - -146. Let h(m) = z*w(m) + 3*t(m). Differentiate h(n) wrt n.\nAnswer: -54*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = -4*a + 60, 5*a - 37 = -5*i + 48. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 431 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 764282.603 rounded to the nearest 10?\nAnswer: 764280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**(1\/6)*z**(-7)*(z**(-1\/4))**(-31) assuming z is positive.\nAnswer: z**(11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -4*p + 1. Let y(j) = -j**3 + 4*j**2 - j + 5. Let g be y(4). Suppose -s - g = -3. Suppose s*z + 3*z = -10, -3*z - 11 = 5*x. Determine d(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 185 - 35 = -3*a, 2*z - 85 = -a. Let f be z\/(-6)*((-10378)\/(-10) - 1). Does 16 divide f\/(-156) - (-4)\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 251*g = 235*g + 117136. What are the prime factors of g?\nAnswer: 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(99) - (-2*sqrt(99) + 1)) + -1*sqrt(99)*-2)*-5 + 6*-5*(-5 + 2*sqrt(99)))**2.\nAnswer: -79050*sqrt(11) + 739300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in seventy-nine halves of a millennium?\nAnswer: 395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1.1 + -1. Let u = -0.4 - x. Let h be 6\/(180\/(-15))*4\/5. What is the nearest to h in u, 0.5, 2\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (5 + 5*o - 5)*(1 - 1 - o**2 - o**2 + o - o + (-o + 0 + 0)*(-1 + o + 1)) + 3*o**3 - o**3 - o**3 in the form l + b*o**3 + u*o + h*o**2 and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -10*c**3 + 2*c**2 - c. Suppose -8*b - 3 = -11. What is w(b)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 57*k = -41*k + 12677247 + 4289591. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 18*a**2 - 61*a + 38. What are the prime factors of h(9)?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -j**3 - 15*j**2 - 13*j + 18. Let b be u(-14). Let w be 12*(18\/b - 2). Solve 4*q + 21 = -5*l - 14, -3*q - w = 5*l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from skwkkkkrr. Give prob of sequence kwk.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 + 32\/12)*(-111)\/(-592)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/3 in 55.4, 3\/4, -1.1, 3\/7, -0.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*n + 49385 = 4*b + 27*n, -4*n = 28. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lvjlgjghggggllhh. Give prob of sequence hhlh.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*t = -44 - 12. Suppose t*u = 3*u - 5, 0 = c - 4*u - 104. Calculate the remainder when c is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.3 + 4.7. Let t = -143\/210 - -1\/70. Sort t, 2\/13, w in decreasing order.\nAnswer: w, 2\/13, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 135 and 11205?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5553 + -5520 - (54 - 1).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide 39431 by 5.\nAnswer: 39431\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 680188907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -1.76644 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide -34450 by -6890.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 255 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1, 620\/501, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 152511 is divided by 518?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -89*s + 153671 - 19993 = 0. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/(h**4\/h*h*h)*h)\/h*h\/(h**(-6)\/h)*h assuming h is positive.\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 5, -5, 2, -342015, -2.\nAnswer: -342015, -5, -3, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*o - 323*l = -321*l - 25, 5*l = -25 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of 6655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -2353886 times 3\nAnswer: -7061658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**(-2)*d*d*d**(-1\/3)*((d*d*d**(-2\/3))\/d*d)**(3\/10) assuming d is positive.\nAnswer: d**(1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.684363 - 1901.2.\nAnswer: -1901.884363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -5*z + 14. Let h = 0 + z. Suppose 2*q - 28 = 4*y, -h*q + 26 = y + y. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 281665?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 10040 and 1507255.\nAnswer: 1255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t = -9812 - -9813. Let z(l) = -l**3 - l. Let h(o) = 24*o**3 + 5*o. Determine t*h(q) + 5*z(q).\nAnswer: 19*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 28*-18.\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fbfffbbfbff. Give prob of picking 3 f and 1 b.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -14*q - 82. Let x be b(-8). Suppose 20*f = 30*f - x. Let j(i) = -3*i**2 - 3*i - 2. Let d(p) = -4*p**2 - 2*p - 1. Calculate f*d(u) - 2*j(u).\nAnswer: -6*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 547.432537 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6583926 is divided by 472.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*b**2 + 2*b**3 + 0*b**2)*(-8*b + 2*b + 3*b)*(2 + 2*b - 2).\nAnswer: -12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = 12.07 + -0.07. Let c = -12.00000062 + p. Round c to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1724296 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -695 and 24?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3\/(2\/((-32)\/(-6))). Let x = -1597 - -1598. Let d(o) = 59*o - 55. Let v be d(x). Solve v*n + u = 2*b, -n + 2 = 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 45730608 to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = -709 + 1729. Let m = w + -1020.00002114. What is m rounded to six decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 93 + (0 - 3915\/87)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.37 + -0.07. Let j be 0 + (1 + -3)\/(-12). Let y = 279.8 + -280. Which is the smallest value? (a) p (b) y (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*d - 9*d + 1616. List the prime factors of d.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 84 and 368?\nAnswer: 7728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v + 6 = 5*v. Suppose -5*k + 80 = 4*o, -k + o = -v*k + 15. What is the remainder when 39 is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -229 + 1172. Is 41 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 + 3 = -4*l - 5*d, -3*l + 24 = -5*d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 13*w + 1 - 2*w + 3. Let l be c(4). Let d = l - -41. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q + 2*q - 16 = i, -3*q - 4*i = -12. Let v(x) = -x**3 - 3*x**2 + 3. What is the remainder when q is divided by v(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u\/(u\/u**(-2\/11))*u)\/u)**(-35) assuming u is positive.\nAnswer: u**(-315\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 38 and 342?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 15 - 21?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -g**2 - 11*g**2 + 8*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 71\/22 and (-188)\/48 + -1 - -3.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 101\/176404 and -7\/9034?\nAnswer: 796816868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 5*v - 55 + 15 = 0, -5*i = -3*v - 30. Which is the second biggest value? (a) i (b) -0.5 (c) 8\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.218 and -1.78.\nAnswer: -0.38804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*sqrt(7) + -5 + -3.\nAnswer: -8 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -37 - (39 - (84 + -69)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.2 (b) 3\/2 (c) -3 (d) 1.55 (e) 2\/15 (f) -155\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3421 is divided by (-279)\/261 + 1 - 20208\/(-348)?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3\/8 (b) 2 (c) 5\/222 (d) -2 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3231392 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = -28*z + 1664. What is the remainder when 122 is divided by z?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-69)\/((150\/(-90))\/(1\/3)))\/(39\/130).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 76.78902 micrometers?\nAnswer: 0.07678902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = k**3 + k**2 - 2*k + 2. Let z(m) = -4*m**3 - 5*m**2 + 8*m - 9. Give 9*q(c) + 2*z(c).\nAnswer: c**3 - c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 47229341147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m = -383 + 152. What is the first derivative of -36*w**3 - 8 - 5 + m + 17 wrt w?\nAnswer: -108*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 6*f**2 - 10064*f - 47. Let o(u) = -2*u. Calculate k(o(a)).\nAnswer: 24*a**2 + 20128*a - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.4 + 1.2881.\nAnswer: 1.6881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 8693059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -50*x + 74 = 5*j - 43*x, 4*j - x + 20 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) be the third derivative of u**6\/120 - 7*u**5\/30 + u**4\/6 + 11*u**3\/3 - 14*u**2. Is l(15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 422 + -422.5. Let f be 16 - (-2)\/(-4)*-12. Put -0.6, f, h in decreasing order.\nAnswer: f, h, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (3 - 1 + 0)*((-i - i + 0*i)*(-13 - 3 + 5) - 3*i - 1 + 1 + (-3 + 4 + 2)*(5*i - 2*i + i)) in the form u*i + g and give u.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -66*q - 68. Let b be u(6). Let y = -459 - b. Sort 3, -6, y in descending order.\nAnswer: y, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 15, 32, 51, 72?\n\"Answer: o**2 + 14*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -5 - -3. Let i = z + 23. What is the remainder when (16218\/24)\/17 + (-1)\/((-16)\/20) is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*n + 5*q - 13 = 0, n + 2265*q - 2269*q - 3 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 421125 (base 12) to base 10.\nAnswer: 1038701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -8*w - 6. Let g be b(-7). Suppose -4*f = -2*d - 118, f = 4*d - 17 + g. What is the highest common divisor of f and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1463 + 1501. Calculate the greatest common factor of c and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 4*o**3 - 3*o**2 + 2*o + 191. Let b(z) = -3*z**3 + 2*z**2 - z - 191. Let p(j) = -3*b(j) - 2*x(j). Is p(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 3*r - 23 = 0, h + 3*r - 2*r - 11 = 0. Solve -3*c + 4*y + h = 2*y, c + 3 = -2*y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 m and 1 r when three letters picked without replacement from {r: 2, e: 3, n: 6, m: 2, u: 4}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*sqrt(2057)*-1*5*-1*-6*4)**2.\nAnswer: 740520000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 165\/(-22)*(-95)\/(-114)*((-252)\/30)\/(-7)?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-15)\/(-4))\/(6\/(-4)). Suppose -h = 3*y + 6, 3*y + 3 = -5*h - 3. Sort j, -2\/3, h in descending order.\nAnswer: h, -2\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 736608, 736605, 736602?\n\"Answer: -3*u + 736611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -5 + 2. Suppose 0 = q + 3*q - 12. Sort p, 1, q in increasing order.\nAnswer: p, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 5*j**2 - 2*j - 2. Let d be p(2). Let t be 956\/d - 0 - 1. Let h = t + -67. Which is the second smallest value? (a) 5 (b) h (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence szf when three letters picked without replacement from zsf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 1149 (base 15) to base 6.\nAnswer: 24553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -54*r + 12 = -48*r. Solve 0*i = 5*i - r*p + 7, 5*i = -5*p for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2 - -3) + -10 + 6. Let v be (-885)\/285 + i\/(-1). Let t = -6.1 - -6.1. Which is smaller: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 247 divide 167713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j, 1 u, and 1 x when three letters picked without replacement from {j: 2, w: 2, u: 1, x: 2, k: 1, m: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 224 and 53816?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = 2*m - 5*j - 16, j = -m + 29. Let h = 30 - -88. What is the remainder when h is divided by m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -170 (b) 0.4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 39502 times -0.8?\nAnswer: -31601.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zbmbbkbbkbbzb. What is prob of sequence zk?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 22 = 3*o, -3*o + 5*c - 4*c = -32. Let v = -5 + 7. Suppose -m = -v*m + o. What is the lowest common multiple of m and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(2\/11)*j**(-6\/13)*j)\/((j\/(j*j\/j**(-8\/3)*j))\/(j**(-1\/4)\/j)) assuming j is positive.\nAnswer: j**(7099\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1569287?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 3171 and 590079?\nAnswer: 89101929","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*u + 11*u = -16*u - 100, -3*u - u = 5*z - 105 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is (1 - (83 - 4))*-3 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4532346 is divided by 1133082.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 10 = f, -2*l = -2*f - 6 - 4. Solve -n + 5 = l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30*c - 1020 = 50*c - 12*c. Let i(t) = -t**3 - 14*t**2 + 13*t - 34. Calculate i(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 44 - 36. Let m(f) = -19*f**3 - 3*f**2 + 26. Let d(y) = 57*y**3 + 8*y**2 - 78. Let h(w) = n*m(w) + 3*d(w). Differentiate h(z) wrt z.\nAnswer: 57*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*k**3 - 489981*k**2 - 19982996448*k + 1942963624704.\nAnswer: -3*(k - 97)*(k + 81712)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (10 - 5)*1*774\/5?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = j - b - 4*b, b = 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -1081414698 divided by -99267?\nAnswer: 10894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = d**2 + 5*d + 5. Let k be (-2)\/7 + (-132)\/28. Let p be j(k). Find the third derivative of -z**6 - 2*z**2 + 3*z**2 + z**6 + p*z**6 wrt z.\nAnswer: 600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 28\/98 + 391\/(-805)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -83? (a) -0.2 (b) -2\/145 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express 111 - 15*l - 13*l + 32*l + 1418 - 8*l in the form r*l + w and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q = -15 - -15. Suppose -3*o - 2 + 11 = q. Sort 0, -3, o in descending order.\nAnswer: o, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -251*q**3 + 79*q**3 - 1200*q**3 + 152*q**3.\nAnswer: -1220*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 152 and 104?\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c - 3*q + 4*q + 36388 = 0, -q - 109172 = -3*c. What are the prime factors of c?\nAnswer: 2, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 168 - 166. Let z(p) be the first derivative of 6*p + 2 + p**3 + 9\/2*p**v. Factor z(g).\nAnswer: 3*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 4\/17 (b) 2 (c) 10 (d) 0.1 (e) 62 (f) 1 (g) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t = -18.098 - -18.22. Which is the closest to 2\/7? (a) t (b) -4 (c) -2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 3, 2, -5\/7, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-d + 0*d - d)*(-3*d**2 - 3*d**2 + 4*d**2) + (4*d + 11*d - 8*d)*(2*d - 3*d**2 - 2*d).\nAnswer: -17*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 925 divided by 5?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n = -5 - -9. Suppose 0*g - 4 = -n*g. Let w = -3087 - -3089. Solve g = -i - w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/(-8))\/(-2*5\/50).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-20)\/(-6))\/(-5*18\/(-135)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ggg when three letters picked without replacement from gdqggdttgd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -1, -2\/5, 12454, 0.0594 in increasing order.\nAnswer: -1, -2\/5, 0.0594, 1, 12454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*t + 62 + 4. Calculate the highest common divisor of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (100\/(-48))\/(-25)*6\/2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -24370, -24439, -24552, -24709, -24910?\n\"Answer: -22*x**2 - 3*x - 24345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b + 15 = 3*b. Suppose -2*k = -b*k - 21. Let v(o) = 6*o**3 + o**2 - 6*o. Let u(n) = 11*n**3 + 2*n**2 - 11*n. Determine k*v(a) + 4*u(a).\nAnswer: 2*a**3 + a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -0.4, 0.8, -16\/11, -11, -0.1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -3 (b) -22906 (c) 2\/3 (d) 1 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 3*m**2 - 6*m**2 + m**3 + 2 + m - 2*m. Let b = 5 - 1. What is the tens digit of o(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 1, f: 1, u: 9, r: 6}. Give prob of picking 2 r.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1601382, 3202739, 4804098, 6405459, 8006822, 9608187, 11209554?\nAnswer: 12810923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 1 + 494*n**2 + 221*n**2 - 1 + 38*n**2 as g*n + w*n**2 + o and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express (3*p**3 + 2 - 2)*(-5 + 3 + 4) + (18*p - 7*p + 13*p)*(-2*p**2 - 2*p**2 + 3*p**2) + 2*p**3 - 5 + 5 in the form o*p**2 + q*p + z*p**3 + f and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4.03 - -4.1588. Let i = y + -57.0288. Round i to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*v**2 + 135858632*v.\nAnswer: 2*v*(v + 67929316)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -27\/37, -2\/11, 5 in ascending order.\nAnswer: -27\/37, -2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -629442*o + 29 - 82 - 22 + 629482*o. Give s(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(-3)*x**7*x*(x**(-2))**37*x**(-7)\/(x**(-7)*x)*x**4\/x**(-7) assuming x is positive.\nAnswer: x**(-59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u - 15 = -8*u. Find the third derivative of 12*d**4 - 12*d**4 + 6*d**2 + 2*d**6 - u*d**2 wrt d.\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = n**2 - 11*n + 24. Let c be j(3). Solve -i + 3*m + 2 = c, -2*i + 3*m = 4*m - 11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 481517833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -v + 3. Let y(r) = -4*r. Let p be y(-1). Let w(g) = -1. Let c(s) = p*w(s) + n(s). Differentiate c(z) with respect to z.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -2*x**2 - 88*x - 4. Let c be w(-44). Sort -2, c, -47 in decreasing order.\nAnswer: -2, c, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5.6178545 rounded to one decimal place?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 2*f**2 - 13*f + 26. Let o be v(3). Let y be 4 + (-83)\/30 + (-2)\/o. Suppose 1\/2 + y*r**2 - 1\/6*r**3 - 7\/6*r = 0. Calculate r.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 2324 (base 5) to base 8\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*s + 5*s - 36. Suppose -52*v + 586 + 2170 = 0. Calculate the remainder when v is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -195 + 114. Let m = d - -73. Is m\/2 + 262\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 39050323?\nAnswer: 13, 231067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 198 divide 594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = 6785 - 6785. What is the nearest to 0.1 in i, -3, 1\/3, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3840 and 262416.\nAnswer: 20993280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 7, d: 7}. What is prob of sequence dds?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 - -3 - -4 - (37 - 36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 15 - -25. Suppose -g + 201 = 5*v, -v + 6 + 36 = 2*g. Let o = v - d. Solve -2*n + 8 = 2*w, 2*n + o*w - 8 = w for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -318550640*b**2 + 2*b - 2484709 wrt b?\nAnswer: -637101280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (188\/3290)\/((-8)\/(-196)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = r**3 + 2*r**2 - 8*r - 16. Calculate n(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 43\/5181 and 31\/(-1209)*6 - 2846\/936?\nAnswer: 62172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 12\/7 - (-6)\/21. Suppose -1 = -y*z + 3. Suppose l - 3*l - 18 = -2*t, -z*t = 2*l - 22. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 5 - (5 - 3) - (2 + 0 + -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) -2118.3 (c) 5 (d) -12 (e) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -36 - -31. Let v be a*(-1 + (-15)\/(-25)). Suppose w + 56 = 4*s, -2*w + 38 = -v*s + 4*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:02 AM and 5:26 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 1338*h. Let y(w) = -19*w - 1. Calculate y(t(c)).\nAnswer: -25422*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4 times -6.7301?\nAnswer: -2.69204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 576*k - 588*k + 66540 = 0. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18097499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -2 - 166?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -91*d - 42*d - 1330 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 44267235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-35)\/40*10560\/(-385).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = o**3 - 2*o**2 + o - 1. Suppose 10 = -6*w + 34. Suppose 0 = w*c - c - 6. What is r(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(242)\/sqrt(396))\/(sqrt(196)\/sqrt(2)) + ((1 + sqrt(704))*-2 - (sqrt(704) + ((-1 + -1*sqrt(704))**2 - sqrt(704)))) + 3.\nAnswer: -704 - 1343*sqrt(11)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4, -74, -218, -442, -752, -1154, -1654, -2258?\nAnswer: -2972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 138*i = 247*i - 131*i + 4004. Solve i = 64*g - 10 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 12 - 100?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor 26*a**3 - 84*a**3 + 6*a + 12*a**4 + 29*a**3 + 2*a**5 + 53*a**3 + 20*a**2.\nAnswer: 2*a*(a + 1)**3*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 81844 is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = 2*n**3 + 5*n**2 - 5*n + 3. Let g be x(4). Suppose -o - 338 - 593 = -5*z, -o + g = z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -298 - -493. List the prime factors of t.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -4425 divided by -885\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2728 divided by 4.\nAnswer: -682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -b**2 - 16*b + 4. Let i = 78 + -93. Let y be j(i). What is the highest common factor of 19 and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 20 - (-5 + (-11 - -9) + 13)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5619, -11216, -16813?\nAnswer: -22410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 2 + 1322c?\nAnswer: 1322e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1909, 7618, 17113, 30394, 47461, 68314?\nAnswer: 92953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -3523*k - 470 = -3457*k + 1576 for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2636 or 2630?\nAnswer: 2630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + (-5 - (-5 + 2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 85 + (-37 - 0) + -157 + 184.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -26*i - 235. Let b be r(-9). Which is smaller: b or 8\/189?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 8\/3 of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -525 (base 14) to base 10.\nAnswer: -1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) be the second derivative of 0*g**7 - 1\/6*g**4 + 0*g**6 + 0*g**2 + 0 + 0*g**5 + 3\/56*g**8 + 0*g**3 + 2*g. What is the third derivative of z(i) wrt i?\nAnswer: 360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000052604994 rounded to 7 decimal places?\nAnswer: -0.0000526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5 - -4. Let i be 6\/9*n\/2. Factor 0*y**3 + 3*y - 3*y**3 + 1 - i + 2*y**2.\nAnswer: -(y - 1)*(y + 1)*(3*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 1196, 2208, 3220, 4232, 5244, 6256?\n\"Answer: 1012*l + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -6 + 3793\nAnswer: 3787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(6\/11))**(-18)*(((d*d**(-2\/3))\/d)\/d)\/(d*(d*d**(-6\/11))\/d))**(-1\/3) assuming d is positive.\nAnswer: d**(394\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + 3*(sqrt(252)\/(sqrt(35)\/sqrt(5)) - sqrt(36))\/sqrt(12))*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 0.8535756 nanograms?\nAnswer: 0.0008535756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 9 = -2*d. Suppose -f + 0*f + 18 = -2*z, -f = 2*z - 34. What is the remainder when f is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-2)\/(-6) - (-95)\/3. Suppose 0*z - z = -425. Suppose 0*k + 5*g - 55 = -k, 5*g = 5*k - z. Calculate the greatest common divisor of m and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/(s*s**(-2)))\/s)\/s**2*s**(-2\/7)\/s**(-2\/3)*(s*s*s**(2\/7)*s\/(s*s**(-2)\/s*s))**(-26\/3) assuming s is positive.\nAnswer: s**(-793\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express h**3 + 2*h**2 + 3*h**4 + 0*h**3 + 0*h**3 - 2 - 5*h**4 as n*h + x*h**4 + f*h**2 + r + p*h**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.147 + -116.147. Let g = -169 - y. Let m = 52.99999992 + g. What is m rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6235.75 in 0.3, 0.1, -54\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -10, -4 in increasing order.\nAnswer: -10, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 117 minutes after 4:18 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 249 - 133 - 4458*n - 116.\nAnswer: -4458*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l be (1 - (-2)\/(-4))*10. Let u be 6*(52\/(-39) + 1*2). Solve -3*q = -l*q - u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n - p + 10 = 0, p = 2*n - p - 4. Let v = n + 17. Let g = -1 - -7. Solve v = -5*c + g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 422076297*a**2*k**5 + 3*a**2*k + 37566608*a**2 + 2*k**4 wrt k.\nAnswer: 8441525940*a**2*k**3 + 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 653, 611, 545, 455, 341?\n\"Answer: -12*t**2 - 6*t + 671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + -9 + (1 - -6) + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) be the first derivative of -j**2\/2 + 6. Let d(m) = -4*m. Let s(l) = d(l) - 3*q(l). Let f(c) = -4*c**2 - 2*c**2 + 0*c**2. Determine s(f(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -11 + 1112001?\nAnswer: 1111220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m - 3*h - 3 = -0*m, 0 = 2*m + 5*h + 13. Suppose -m*f = -17*f + 22. Suppose 4*t = f*o + 6930, 3*o - 8*o = -3*t + 5180. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 46, 90, 134, 178, 222?\n\"Answer: 44*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) be the second derivative of 3*y**5\/100 + y**4\/20 - y**3\/2 + 9*y**2\/10 - 135*y + 1. Solve f(v) = 0 for v.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -14240 + 261?\nAnswer: -13868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 9957570 divided by -995757\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1627.7*-3275.\nAnswer: -5330717.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 259292699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide (1 - 94)*-1 - 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:16 PM and 7:42 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -239 + u + 340 - 47*u**2 - u with respect to u.\nAnswer: -94*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1394978347*z**3 + 429221075*z.\nAnswer: 8369870082*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 189695 is divided by 678.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -8 (b) 5 (c) -17576 (d) -22 (e) -4 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -93394*r**3 - 93406*r**3 + 186795*r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -8, -9, 0, 7, 67 in descending order.\nAnswer: 67, 7, 4, 0, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = t - 3. Let l(f) = f**3 + 17*f**2 + 16*f - 24. Let k be l(-16). Let q be k\/20*25\/(-10). Suppose -q = -4*p - 19. Calculate a(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in 3864, 3, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-360)\/(-63)*(-784)\/(-1792)*1\/(-115)?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 25665 and 37965.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*r + 2*r - 40. Let m = -1 - -10. Suppose z + m = 4*z. What is the remainder when r is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 259*f**2 + 248*f - 3. What is d(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 553 minutes before 1:15 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/v**(-16))\/v**(-3\/2))\/((v*v**(-4))\/v)**13 assuming v is positive.\nAnswer: v**(141\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/(5\/(-100)))\/(1 + 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -68 - 64 = -2*q. Is q a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -7*s**2 + 1. Let t(n) = 1275*n**2 - 4. Give t(h) + 4*v(h).\nAnswer: 1247*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 8185459, 16370904, 24556347, 32741788, 40927227, 49112664, 57298099?\n\"Answer: -b**2 + 8185448*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/615 < 478552?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 9 = j - 4*m, 2*j - 5*m - 18 = 0. Let k = 3581 + -3574. Calculate the smallest common multiple of j and k.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 118\/18 - 4 - 3. Let f be (-4 - (-118)\/28)\/(-1 - 2). Let o = f - -1\/2. Which is the third biggest value? (a) h (b) 0.5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.01, -5, 0.7, -9, -7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2005483 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0002374 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 96 minutes before 3:49 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -1, 4, -2\/7, -0.03?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 52685189 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -85*j - 6 = -88*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 121 - 607\/5. Let w = 155.9 + -157.9. Let q = -0.1 + -2.9. What is the closest to l in q, w, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 3087 (base 10) to base 5\nAnswer: 44322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cvzzvvttvctv. Give prob of picking 3 t.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1785893.\nAnswer: 257, 6949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = 191 + -169.35. Let i = s + 0.35. Let m = i + -24.1. What is m rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 207958912 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gssggslss. Give prob of sequence gl.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -69, -63, -51, -33, -9, 21, 57?\n\"Answer: 3*p**2 - 3*p - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -0.492 equal to 5\/11327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 13180038899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -172051*q - 84872.\nAnswer: -172051","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 265 minutes before 4:20 AM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 9472917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 6*z - 6 = 0, 286 = 2*y - 2*z. Let r = -101 + y. Factor -13*d + 9*d**2 - 12*d**2 + r*d**2 - 3*d**3 - 134*d.\nAnswer: -3*d*(d - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3.102713 rounded to three decimal places?\nAnswer: -3.103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/(a**8\/a*a))\/(a**(-12)\/a))**(2\/117) assuming a is positive.\nAnswer: a**(4\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = h + 3. Let y be i(-7). Let l be 7\/2 + (-3)\/(-6). Sort 1, l, y in increasing order.\nAnswer: y, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4 (base 6) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -15\/16 + 37\/176. Find the common denominator of a and -33\/50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) be the first derivative of 2*q**5\/25 + 3*q**4\/5 + 14*q**3\/15 - 6*q**2\/5 - 16*q\/5 + 114. Determine y so that o(y) = 0.\nAnswer: -4, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be -2 + (1 - 0 - -5). Let u be (c\/6)\/((-1)\/(-6)). Let f be (u\/5)\/(2\/10). Solve -i + 6 = -z, 2*i = 3*i + f*z + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - 3*v = -7*v + 155, -37 = -q - 2*v. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 23 + -23. Let v be (1 + k)\/((-4)\/(-16)). Suppose v*d - 3 = -23, -a + 2*d = 150. What is a rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by -154\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5*d**4*k**3 - 3*d**4 - 2*d*k**3 - d*k - 20*d wrt d.\nAnswer: 60*d**2*k**3 - 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g be (1 + -6 + 0)*-87. Is -1 + 1 + g\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.9*-1.2.\nAnswer: 2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*j - j = 15. Let z be 2 + (7 - j) + -1. Let y(x) = -x**3 + 6*x**2 - 2*x - 6. Is y(z) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-31 + 82 + 78)*(-2*i + 0 + 0).\nAnswer: -258*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 141175 + -44.35590059?\nAnswer: 141130.64409941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 901417539 to the power of 1\/3, to the nearest integer?\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*l = 998 + 1432. Solve 0 = 2*h - 391 + l for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 39 and 804.\nAnswer: 10452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Determine y, given that -3*y**4 - 18*y**3 - 36*y**2 - 24*y = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-51)\/(-3))\/((-5)\/(-10)). Let o = r - 19. Suppose -o = -z - 2*z. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f**(32\/5))**(5\/7)*(f*f**(-15))**(38\/7) assuming f is positive.\nAnswer: f**(-495\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -l - i + 536, -505 = 3*l + i - 2105. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 10035660 times 0.3\nAnswer: 3010698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5333, -19491, -43085, -76121, -118605, -170543, -231941?\nAnswer: -302805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3707.\nAnswer: 11, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 35321965153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -v + 27. What is the remainder when 37 is divided by r(17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 821407341 to the power of 1\/4, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 287515*x**3 - 779*x + 779*x.\nAnswer: 287515*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -18159, -36304, -54449, -72594, -90739, -108884?\nAnswer: -127029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q = -3*x + 7, -4*x - 10 + 6 = 0. Solve 11 = 4*v + 3*b, -v - q*b - 27 = -51 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9 - 9 - 4*i**3 - i**2.\nAnswer: -4*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + 5 = -n - 22, 3*k - 5*n = 75. Let z = k + -13. What is the remainder when 65 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 * -283.7\nAnswer: -283.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**1*y\/(y*y**(-2\/9)*y))**(-12\/17) assuming y is positive.\nAnswer: y**(-8\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.013 and 585?\nAnswer: 584.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 0.2, 110\/41, -10\/7, 0.5, -2\/7, 14, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 133 = -12*i - 59 - 109 + 25 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k be 189696\/768 - (9 + 0). Solve -14*o - 20*o = -k for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8266, 19421, 38012, 64039, 97502?\nAnswer: 138401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 24 and 32739.\nAnswer: 261912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 4531, 5, 0, 1 in ascending order.\nAnswer: 0, 1, 4, 5, 4531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 2, w: 5, d: 3, s: 1, n: 1}. Give prob of sequence wx.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -2*k + 3*k. Let f = 7 - k. Suppose -n - 42 = -3*c + 2*n, -4*c + 40 = f*n. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5.13625 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1.0625, -1, -16\/11?\nAnswer: 1.0625","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -2.582 times 1.0809?\nAnswer: -2.7908838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 4717.811ml?\nAnswer: 4.717811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 21\/11, -325, 134 in decreasing order.\nAnswer: 134, 21\/11, -325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = -5 + -64. Let x = 67 + z. What is the units digit of (-2691)\/(-12) - (x\/(-8) - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 4*u**2 + 33*u - 20. Let s be b(5). Suppose -4*k - 184 = -4*q, -5*k = -8 - 7. What is the greatest common divisor of q and s?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10095*w + 70 = -10025*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*a - 17 = 5*f, 9*f = -a + 45*f - 39*f - 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = 12 - 2. Let l(i) = -23*i - 5. Let t be l(b). What is the third derivative of -t*m**6 + 18*m**2 + 25*m**6 - 3*m**2 wrt m?\nAnswer: -1920*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*l - 4 = 0, -3*p - 5*l + 15 + 4 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 12725 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13 is divided by 18\/108 + 106\/12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -79*f + 415*f + 488 = -184 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 191*u**3 - 7724*u**2 wrt u.\nAnswer: 1146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 142 minutes before 5:48 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 14846, 8, -3, 373 in descending order.\nAnswer: 14846, 373, 8, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) be the second derivative of -h**3\/3 - 2*h**2 - 112*h + 2. Determine r(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 28685 divided by -58\nAnswer: -28685\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2 + 2.5. Let w = -1400.3 + 1399.3. Let r = 0.22 - -0.08. Which is the smallest value? (a) w (b) r (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 12, n: 2, g: 3}. Give prob of sequence nyy.\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -10*d - 1. Let h(l) = 64*l**2 + 2*l. Suppose -3 = -3*y - 0. Let w be h(y). Let c(g) = g + g - 66 + w. Determine c(u(r)).\nAnswer: -20*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o = 33 - 13. Let v = 44 + o. Let q = -44 + v. Calculate the smallest common multiple of q and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.5 - 0. Let d = 0.5 + w. Let v = -105 + 101. Sort v, d, 4.\nAnswer: v, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -7743 and 0.03662.\nAnswer: -283.54866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 71 = -5*f + 51 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9832.\nAnswer: 2, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.3? (a) 0.6 (b) -0.45 (c) 1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -11*b**2 - 4*b - 196. Let l(z) = 7*z**2 + 5*z + 123. Let t(w) = 5*j(w) + 8*l(w). Calculate t(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 631347, 631343, 631339, 631335, 631331?\nAnswer: 631327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be 0\/(-1) - 18\/(-5 - -3). Let y(r) = -r + 12. Let n be y(z). Suppose -4*d + n*o + 3322 + 1347 = 0, 0 = 2*d + 3*o - 2321. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-2)\/2)\/(1\/(-2)). Suppose 0 = 3*u + 3 - 9. Let p be (u\/4)\/(3\/48). Calculate the highest common factor of p and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 110*c + 476 + 520 = 6 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -23\/136 and -107\/24?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -3*o**3 + o**2 + o. Let a(b) = -14*b**3 + 4*b**2 - 136*b + 1. Determine -2*a(n) + 10*r(n).\nAnswer: -2*n**3 + 2*n**2 + 282*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -5, 15, 1\/5 in decreasing order.\nAnswer: 15, 1\/5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 160, -2, -4 in decreasing order.\nAnswer: 160, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 + -1 - (96 - 96).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Total of 13580 and -0.7142.\nAnswer: 13579.2858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (7 - 4 - 11)*(-2*n - 2*n + 3*n + (n - n - n)*(-6 + 3 + 4))*(0 - 1 - 4).\nAnswer: -80*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of d*g**3*q**3 - 129479*d*g**3 + 2*d*g**2*q**3 + 471*d + 2*g**3*q**2 - 66*g**2*q - 4*g*q wrt g?\nAnswer: 6*d*q**3 - 776874*d + 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2\/17 (b) 0.667 (c) -75 (d) 3 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-29 - 363*x**2 + 314*x**2 + 20)*(-2*x**2 - 4*x + 4*x).\nAnswer: 98*x**4 + 18*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -10*o**3 + 3*o**2 + 7*o + 8. Suppose -9*a = -6*a - s + 11, 3*s - 23 = 4*a. What is the remainder when f(a) is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 7110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 63716 is divided by 992.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (49*v + 7*v + 30*v + 42*v)*(-3*v - 13*v + 2*v).\nAnswer: -1792*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 91*o + 13454 = -14315 + 32410 for o.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*s + 34 + 8. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + (-3 - 91\/(-35)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/k**(3\/11)*k\/k**(-1))**(1\/49)*(k**(-2\/25)*k*k**6)**(-21) assuming k is positive.\nAnswer: k**(-1957437\/13475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 601539?\nAnswer: 3, 200513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 153767 - 77765 = 717*w for w.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-11)\/(-33)*3\/5. Is s >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r + 2 - 6 = 0. Let k be ((-76)\/10 + 0)\/((-1)\/25). Suppose -r*z = -2*o - k, 2*o + 0 + 6 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -10*b**2 - 5*b. Let l(y) = 41*y**2 + 82*y - 7. Let d(g) = 54*g**2 + 106*g - 9. Let n(j) = 7*d(j) - 9*l(j). What is 5*n(f) + 4*o(f)?\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -w**3 + 12*w**2 + 9*w - 11. Calculate m(13).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 292*q - 2035. Let x(v) = v + 24. Calculate the remainder when x(0) is divided by n(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 558 minutes before 1:25 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -1925*h**2 + 67*h - 2. Calculate l(1).\nAnswer: -1860","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 34978*t - 11358*t - 12273*t - 11360*t.\nAnswer: -13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -x**3 - 30*x**2 - 21*x + 230. Let w be k(-29). Which is the fourth smallest value? (a) 3 (b) -0.4 (c) 17 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 6317.77 litres?\nAnswer: 6317770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.413, -3\/5, 1\/3, -0.4, -3, 7.\nAnswer: -3, -3\/5, -0.413, -0.4, 1\/3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000871664 rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 1, o: 2, x: 1, y: 1, u: 2}. Give prob of sequence uu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3 - -19.2. Let g = m - 22. Let n = -0.2 + -0.3. Which is the smallest value? (a) 2 (b) g (c) 3 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 25963828.\nAnswer: 2, 11, 17, 103, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10011100011001100111111 - 101?\nAnswer: 10011100011001100111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -242296 divided by -15\nAnswer: 242296\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 0 + -39 - (8\/28)\/((-43)\/1204)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*z - 3*z - 3*z)*(z**2 + 0*z**2 + z**2) + 2*z - z**3 - 2*z + 2*z**3 + z**3 - 2*z**3 + (-z - 2*z + 7*z)*(z**2 - z**2 + 4*z**2).\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) be the first derivative of 0*a**2 - 8\/3*a**3 + 0*a + 12. Let f(o) = 3*o**2. Calculate f(b(h)).\nAnswer: 192*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(-9)*r)\/r**(1\/4))\/(r**(-2\/13)\/(r*r\/(r\/(r\/(r**(1\/6)*r))*r)*r)) assuming r is positive.\nAnswer: r**(-1133\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 3252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -626*i - 624. Calculate u(0).\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 5, w: 4, b: 1, d: 1}. What is prob of picking 3 w?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 4*b + 497. Let j(l) = -3*l - 322. Let i(a) = -9*d(a) - 14*j(a). What is i(-11)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 319 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 314 a factor of 166106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express 17*y**2 - 9*y - 3*y - 16*y**2 in the form j*y + d*y**2 + u and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Total of -2.7 and -545024.\nAnswer: -545026.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = g**2 - 11*g + 19. Let k(j) = -7 - 3*j + 4*j - 1. Let n be k(-7). Is h(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -b850d (base 16) to base 6\nAnswer: -24103101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*g**3 - g**3 - 3*g**3)*(-3 + 0 - 2)*(-18 - 2 - 3)*(1 + 1 + 6) to the form u*g**3 + r + m*g + f*g**2 and give u.\nAnswer: -1840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*y**5 + 0*y**5 + 5*y**5 + (-4*y**2 + 41*y - 41*y)*(3*y**2 - 3*y**2 - 2*y**3).\nAnswer: 9*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -277*f**3 + 19*f + 333*f + 140*f**3 + 138*f**3 + 957*f.\nAnswer: f**3 + 1309*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Are 730 and 1319 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-4)\/1 - (-1 - -6). Let s be ((-38)\/3)\/(l\/(-54)). Let p be (-8)\/(-20) + s\/(-10). Is p >= 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -1994*f**3 + 142 + 4013*f**3 - 10 - 2016*f**3 - 6*f in the form g*f**3 + u*f**2 + i + t*f and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = 113586.6 + -113524.20776. Let a = x - 0.38794. Let l = a + -62. Round l to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 47500038 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**13\/o)\/(o*o**(-5\/3)))\/(o**(-3\/5)*o*o**(2\/9)) assuming o is positive.\nAnswer: o**(542\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 7, v: 12}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose r + 2*n - 779 = 0, 0 = -0*r - 5*r + 2*n + 3907. Suppose -6*o + 3409 = r. Suppose -4*f = -i + o, -5*i - 3*f + 2282 = -0*f. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = i - 31. Let t be g(14). Let s = -15 - t. Suppose s*l - 28 = 5*m, -2*m + 14 = -0*l + 2*l. Calculate the smallest common multiple of l and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*q, u - 3*u = -3*q + 10. Suppose 4 = 21*d - 19*d. Let g(z) = -z**2 + d*z**2 - 4*z**2. Let w(v) = -v**2. Determine u*w(k) + g(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -96387, -96401, -96429, -96477, -96551, -96657?\nAnswer: -96801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -q**2 - 12*q - 22. Let t be p(-9). Let u be (-2 - (-11)\/t) + (-112)\/(-40). Suppose 0 = 2*y - 151 - u. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 39 + 86 + 45 + 37 - 207 - 30*f.\nAnswer: -30*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 16535*a**2*c**3 + 2*a**2*c**2 - a**2*c + 50*a**2 - 10*a*c + c**3 wrt c.\nAnswer: 99210*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 115\/10362 and 41\/4710?\nAnswer: 51810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/(u\/(u\/(u**(11\/4)\/u))))\/u*(u*u**2*u)\/u assuming u is positive.\nAnswer: u**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b**(1\/2)*b)**14\/(b**(-1))**(30\/11) assuming b is positive.\nAnswer: b**(415\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -3844, -7690, -11536, -15382, -19228?\n\"Answer: -3846*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -5.37 + 1.37. Let l = -1 + 2. Let x = 0 + 0.2. Which is the closest to 0.1? (a) x (b) p (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -2*j**2 + j - 1. Let n(q) = 7*q**2 - 6*q + 4. Determine -n(y) - 6*v(y).\nAnswer: 5*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 8, t: 3}. Give prob of sequence ntnt.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -100233, -20, -28, 0 in decreasing order.\nAnswer: 0, -2, -20, -28, -100233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 12882, 12893, 12912, 12939, 12974, 13017, 13068?\n\"Answer: 4*a**2 - a + 12879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 28 + (2 - 7) + 6 + (-71 - -73)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -63710\/452591 - 66\/1343. Is 0 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4.2 + 0.2. Let w = 57.43 - -1.57. Let d = w - 60. What is the second smallest value in 1, q, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -0.3 (b) -5 (c) -265 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 1, w: 1, k: 1, y: 1, i: 1}. What is prob of picking 1 w, 1 i, and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -423851, -423859, -423857, -423833, -423775, -423671?\n\"Answer: 2*p**3 - 7*p**2 - p - 423845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -9*i**2 + i + 3. Let x(z) = z**3 + 17*z**2 - z - 5. Let g be ((-10)\/15)\/(20\/30) + (-7 - -11). Determine g*x(u) + 5*d(u).\nAnswer: 3*u**3 + 6*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = 566\/221 - 142\/65. Is -2\/9 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 0, 34, 68?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 26 divided by 9?\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 126 and 41643?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 256260 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2078454*s**4 + 21*s**2 + 167*s + 82.\nAnswer: 49882896*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by -152.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 392071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = 6 - 8. Let i = 0 - t. Solve 4 = -i*b + b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 97\/18396 and 79\/42924.\nAnswer: 128772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find r, given that -3*r**3 - 94467*r**2 - 661152*r - 944460 = 0.\nAnswer: -31482, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -m**3 + 10*m**2 - 9*m - 5. Let c be n(9). Let q = -1 + 1.2. What is the nearest to q in c, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*u = 9*u + 17*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 6134790269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*l = 56 + 52. Suppose l*u = -0 + 36. Solve u = -i + 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2524 and 10556630?\nAnswer: 1262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = -4*j + 383, -388 = -15*j + 11*j - 4*c. Suppose j = -m + 94. Solve r = -m - 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + 4*(0 + sqrt(405)) + -1*sqrt(405)*-1 + 2 + -4*(sqrt(405) + sqrt(405)*-2)*-3*4)**2.\nAnswer: -5418*sqrt(5) + 748894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4786 - -1155. Is w a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -118 - -124. Solve -h*l + 5 = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 6\/13, -4, 117, 2\/11 in decreasing order.\nAnswer: 117, 6\/13, 2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1974057061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3.1 + -3. Let c = j + 0.1. Let w = 1\/54 - 29\/108. Sort c, w, -1 in decreasing order.\nAnswer: c, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = g**3 - g**2 - 7*g - 1. Let w(n) = -8*n**3 + 6*n**2 + 49*n + 3514. What is 7*f(h) + w(h)?\nAnswer: -h**3 - h**2 + 3507","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -13676, -13647, -13630, -13631, -13656?\n\"Answer: -s**3 + 36*s - 13711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -645 - -350\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7460907?\nAnswer: 3, 2486969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 14370 divided by 6\nAnswer: 2395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x = -2*n - 2*n, -4*x + 2*n + 50 = 0. Let r be 1\/((1 - 2)\/(-5)). Suppose 0 = 2*w - 10, -3*w = -r*o + w - x. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10)\/(-15)*1\/(4\/(12\/5)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 502652624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -128 = n - 130. Factor -j**2 + j**2 + 60*j - 153 - 8*j**n - 3*j**2 + 8*j**2.\nAnswer: -3*(j - 17)*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 31302 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {h: 4, u: 4, v: 5, d: 1, z: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4 and 512.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (293 - 276) + (-31 - 2) - 23.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -6269406.25 to the nearest one hundred thousand.\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -11, 17, 0.03, -0.5 in decreasing order.\nAnswer: 17, 0.03, -0.5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:47 PM and 9:40 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 639742248 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2 - 1. Let c be (16\/(-5))\/(q\/(-5)). Suppose o = -3*o + c. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k - 9931 = -b, -4*b + 4*k + 33153 + 6731 = 0. What is the thousands digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -779, -704, -629?\n\"Answer: 75*s - 854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 24 and 12792?\nAnswer: 12792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1 + 3 - (-4 - -1). Let v = 11 - r. Suppose 5*l - 25 = 5*t, v = -l + 5*t - 3. What is the highest common divisor of 20 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 5*g**3 + 4*g**2 - 2*g + 8. Let t(x) = -3*x**3 - 3*x**2 + x - 5. Let b(q) = 5*o(q) + 8*t(q). Let n = -7 + 12. Let l be b(n). Solve -i + l = 2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (5 - 4 + 3)*(-622 - 163 + 160)*(3*w - 3*w + 2*w) in the form u*w + f and give u.\nAnswer: -5000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -7690*c - 6897. Is b(-47) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*t + 65546 + 11540. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = 2*n**2 + 5*n + 3. Is 21 a factor of j(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 12103 and 872347.\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (325\/(-135) - -2)\/((-8)\/(-84)) and -79\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 7*b + 3. Let h(u) = -6*u - 3. Determine 6*h(i) + 5*r(i).\nAnswer: -i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p when two letters picked without replacement from epeppoopeoooooeeppp?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p be (3 + -2)\/(1\/(-7)). Let w(q) = q**3 + 6*q**2 - 8*q - 4. Let h be w(p). What is the units digit of 5*(-1 - -3) - h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -20056, -40792, -61526, -82258, -102988, -123716, -144442?\nAnswer: -165166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 53 minutes before 12:25 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2.8 in 3\/7, 1.59, 1.19?\nAnswer: 1.59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3.5 - 3. Let p be (1\/(-6))\/((-4)\/(-12)). Let v(a) = a**2 + 6*a - 4. Let f be v(-6). What is the biggest value in k, f, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -5 - 1218.\nAnswer: -1223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -59\/25544 and -17\/217.\nAnswer: 178808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 4, h: 8, q: 1, j: 5}. Give prob of picking 2 j and 1 d.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -n**2 + 15*n - 4. Let t be k(11). Let a = t + 9. Find the common denominator of -81\/16 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -o**3 + 16*o**2 + 2. Let f(r) = -4*r + 16 + 0*r - 3*r**2 + 4*r**2 - 7*r. Let b be f(11). Calculate the smallest common multiple of u(b) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {v: 5, d: 1, i: 8, q: 3, h: 2}.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 5574\/71 or 4.9?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 312144 and 18104352?\nAnswer: 18104352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 9, i: 2, y: 2}. Give prob of sequence yij.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 0*o + 5 + 5*o**2 + 4*o + o**3 - 3. Determine g(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 896 and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 8045*v + 7880*v - 15923*v + 4 - 1.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = -5*n + 60. Suppose 0 = -3*l + 4*f, 0 = 2*l + 5*f - 4*f. Solve -h - 2*h - n = l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 41273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 875825?\nAnswer: 5, 53, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = k**3 - 30*k**2 + 29*k + 2. Let h be b(29). Let v(w) = -298*w - w**h + 2 - w**2 + 297*w. Calculate v(-4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -153, 17, -2.\nAnswer: -153, -2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1292 + 1292.3. What is the closest to -1 in g, -1, 68, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.3 (b) 0.65017 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p*p**(1\/11))\/(p*p**5)*p**0\/(p**10\/p*p))**30 assuming p is positive.\nAnswer: p**(-4920\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 265481 is divided by 132379?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:57 AM and 10:36 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 5*b*n**2*t**2 + 19*b*n**2 - 3*b*n*t**2 + 3*b*n*t - 2*b*t**2 + 9*b + n**2*t wrt n?\nAnswer: 10*b*t**2 + 38*b + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 11\/66816 and -149\/5367552?\nAnswer: 16102656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 34 and 1549057.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out 1690 - -416.2.\nAnswer: 2106.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l = 395 + -395.61. Let j = -18.28 + 17. Let i = l - j. Round i to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 12*k**5 - 38*k**4 - 2530*k**2?\nAnswer: 720*k**2 - 912*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 320*q**2 + 206*q**2 + 272*q**2.\nAnswer: 798*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = 11 + -7. Suppose 2*h + j - 4 = -0, 3*j = h + 12. Suppose v = 2 - h. Solve v*p + 4 = n*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -1.75 * -0.4\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = 13*l + 78. Let n be v(-6). Suppose -5*g + 5*f = -2440, -g + n*g + 4*f = -488. What are the prime factors of g?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 1 a when two letters picked without replacement from {a: 1, e: 5, w: 2, c: 3, u: 5}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) be the third derivative of -t**8\/2240 + t**7\/840 - t**5\/12 - 6*t**2. Let q(x) be the third derivative of g(x). Factor q(h).\nAnswer: -3*h*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {g: 9, o: 8}.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Suppose s + 3*p + 11 = 0, 6*p + 26 = 4*s + 4*p. Let k = s - 4. Sort 5, -2, k.\nAnswer: -2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 275 + 261 - 822 + 23*v + 233. Let m(p) = -p**2. What is k(m(c))?\nAnswer: -23*c**2 - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*g - 56 = -8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 5.1139nm?\nAnswer: 0.0000051139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -8 - 11*n + 35 + 13*n. Let w be r(-5). Let k = w - -54. List the prime factors of k.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (4\/(-160)*-2)\/((-2)\/(-271)) - 5 and 19\/3568.\nAnswer: 17840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.2 - -0.2. Let y = -13295.613 - -13283. Let x = y + -0.387. Which is the closest to l? (a) x (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.7*-1070443.\nAnswer: 749310.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*o**2*s**3 - o**2*s - o**2 - 35182*o*s**3 + 7*o + s**2 + 16*s wrt s?\nAnswer: -12*o**2*s - 211092*o*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(300) + 1)*-6 + sqrt(33)\/((sqrt(11) - sqrt(11)*2)*3).\nAnswer: -181*sqrt(3)\/3 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 244 a factor of 681146398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + 2)*(3*y + 0*y - 4*y) + (-3 - 4 - 4)*(4*y - 4*y + 2*y) + 1 - 1 + y + (23*y - 2*y - 5*y)*(2 - 4 + 3) - 2*y - 2*y + 5*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 160634 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -866*f + 866*f - 9*f**2.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3294221, 3294225, 3294229, 3294233?\nAnswer: 3294237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2 + 1. Suppose i*n + 12 = 7*n. Calculate the lowest common multiple of 8 and n\/((81\/(-60))\/(-9)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -5 (b) -0.0973 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w - a + 60 = 0, -w + 4*a = 8 - 43. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1026093 or 1026091?\nAnswer: 1026093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*t**4*y - 101*t**3*y + 19*t*y + 6*t wrt t?\nAnswer: 36*t**2*y - 606*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -54935000 to the nearest one million.\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) be the third derivative of 3\/20*f**5 - 5\/3*f**3 + 0*f + 0 + 1\/3*f**4 + 14*f**2 + 1\/120*f**6. Give a(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l + 8 = 3*n, -2*l - 14 = 4*n - 6. Let b = -2.03 - -0.03. What is the nearest to -1\/6 in -5, b, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -9848, -9894, -10014, -10244, -10620, -11178?\nAnswer: -11954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -60*z - 217457 + 218357 = 0 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i + 3*i - 15 = 0. Let q(t) = -t**2 + 3*t. Let d be q(3). Suppose d = o - 18 + i. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1\/(-1)*(164 - 1). Let u be (-7 + 4 - i)*102875. What is u rounded to the nearest one hundred thousand?\nAnswer: 16500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 379116 and 144?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -210 - -101?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-18)\/(-21))\/(62\/(-217))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -104 (base 11) in base 2?\nAnswer: -1111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 35630 + -18279. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*n**2 + 0*n**3 + 2*n**2 - 3*n**3 + (n**3 - 5*n + 5*n)*(4 - 2 + 0).\nAnswer: -n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 = 2*q - h, 2*h - 6 = -q - 3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m = 224 - 158. Let o = m - 66.02. Which is the closest to 0? (a) -0.1 (b) -0.5 (c) o (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 457075\/219 + 455\/73. Does 0.1 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 983 is divided by 76.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 975 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(19) + 3 - (sqrt(19) - 4*sqrt(76)))**2.\nAnswer: 48*sqrt(19) + 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is w in 19*w**4\/3 - 32*w**3 + 62*w**2\/3 + 56*w - 3 = 0?\nAnswer: -1, 1\/19, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m**(-9\/8)*m)\/(m*m\/((m**(2\/13)*m*m)\/m)*m))\/(m**(-3\/5)\/m)**(-31) assuming m is positive.\nAnswer: m**(-26297\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 292701924 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -x + 7. Let j be u(6). Let h be -2 - (-2 + 2 - 30). Let y = -25 + h. Solve -y - j = g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = z + 69. Calculate n(-64).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13 - (18 + 2 + -4 - 7).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -j**3 + 6*j**2 + 31*j - 36.\nAnswer: -(j - 9)*(j - 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -75*g**6*u**2 + 336*g**3*u**2 + 174*g**2*u**2 + g**2*u + 2*g**2 - 5*u**2 wrt g.\nAnswer: -9000*g**3*u**2 + 2016*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*a = 16*a - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 7, -5, -16, -3 in decreasing order.\nAnswer: 7, -3, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = 4 - -1. Solve c*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 smaller than -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 17*c**2. Let y be (9 + -9)\/(-3*1). Suppose y - 8 = -4*s. Does 17 divide x(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 333.6807 millilitres to litres.\nAnswer: 0.3336807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 5 and 685.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) be the second derivative of -j**5\/20 - j**4\/12 + j**2\/2 + 8*j. Let q(n) = 8*n**3 + 5*n**2 - 6. What is q(h) + 6*z(h)?\nAnswer: 2*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-4)\/(-10) - (-619)\/36. Let g be (-38)\/36*17\/((-425)\/20). Let k = g - r. What is the common denominator of -5\/7 and k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/(p*p**(-2\/3)*p*p)*p)**28\/(p**(-1\/4))**(1\/37) assuming p is positive.\nAnswer: p**(-4141\/444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 274024605 to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*m - m + 0*m)*(2*m**2 - m**2 + 0*m**2) + 2*m**3 + 5 + 0*m**3 - 4 - 4*m**2.\nAnswer: 3*m**3 - 4*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 20 and 995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 7092 divided by -4?\nAnswer: -1773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -47*r + 52*r - 25 = 2*f, -f - 3*r + 15 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = 2090804*w - 5660. Let n(b) = 1108*b - 3. Calculate -3*a(v) + 5660*n(v).\nAnswer: -1132*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1, 10, 37, 86, 163, 274, 425?\nAnswer: 622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -664, -672, -680, -688, -696, -704?\nAnswer: -712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 62341509 a multiple of 923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (89*b**2 + 82*b**2 - 159*b**2 - 3*b)*(-1 + 3*b + 1) - 3*b**3 + 2*b**3 + 0*b**3.\nAnswer: 35*b**3 - 9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*z - 382047 - 11*z + 382047.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) -2 (b) -4 (c) -1\/7 (d) 2541\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in 520.7, -0.1, 3\/7, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -2 + 1 + 0*r + 3*r + r**2 + 0. Let v be c(-4). Let f be 18\/15*(-5)\/(-2). Solve -f*m = -s + 4, -3*m - 2*s + v = 13 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -11*b**2 + 22*b + 7. Calculate m(3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 72878530?\nAnswer: 2, 5, 37, 61, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 37717*(8\/(-2))\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -33*o**3 - 24 - 86*o**2 + 18*o**2 - 68*o - 4*o**4 + 5*o**3.\nAnswer: -4*(o + 1)**2*(o + 2)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from irginri. What is prob of sequence iii?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 110001 (base 3) in base 10?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be (24\/20)\/((-3)\/(-45)*3). Solve -v = 4*w - 26 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -5*n + 2. Let o(t) = 21*t - 9. Let h(q) = -9*d(q) - 2*o(q). Let z(x) = 3*x + x - 2*x. Calculate h(z(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -3624*l**3 + l**2 - 23*l + 22. Let h = -375 + 384. Let y be z(h). What is y rounded to the nearest one hundred thousand?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 8\/60 - ((-884)\/(-330) - 2). Which is smaller: 2\/41 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*c + 12 - 3. Let a(z) = -16*z. What is the tens digit of a(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*r + 16*r - 32 = 0. Suppose 20*q - r*q - 44 = 0. Suppose q*a - 15430 = a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve l + 52*g = 56*g + 41, 2*l + 28 = -3*g for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = u**2 + 8*u - 11. Let i be g(-10). Let s(n) = n - 2 + 0 + i. Let l be s(-7). Sort -3, l, -4 in decreasing order.\nAnswer: l, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 12710, 13686, 14674, 15680, 16710, 17770?\nAnswer: 18866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 806209492.\nAnswer: 2, 11, 911, 20113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -425*r**3 + 7*r**2 - 8*r - 12739. Let h(k) = -2126*k**3 + 33*k**2 - 38*k - 63691. Let b(j) = -14*a(j) + 3*h(j). What is the derivative of b(c) wrt c?\nAnswer: -1284*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2)\/2 - -2 - 1. Let s be (2 - 3 - -2)*(0 + n). Suppose -m - m + 43 = 3*p, s = 3*p + 4*m - 41. Calculate the remainder when 41 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 47, 82, 113, 140, 163, 182?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:05 AM and 7:15 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-44 - 11520\/18)\/(-6).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 269 + -133. Suppose 21 = w - 3*k, w - 5*w + k + 29 = 0. Suppose y - w*y + 95 = -2*x, -2*x + 7 = y. Calculate the greatest common divisor of y and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 4 and -26950854?\nAnswer: 26950858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -66*c + 4. Suppose -2*y = -7*y - 15. Let l be b(y). Suppose -4*g - 50 = -l. Does 19 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -19*y + 18*y - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 120466690*f**3 - 91065054*f wrt f.\nAnswer: 722800140*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 3, i: 5}. What is prob of picking 3 d?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2)\/(-4) + (-20)\/(-8). Suppose w*o = -5 - 7. Let q = -5.8 + 6. Which is the second smallest value? (a) o (b) 3\/4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 217 minutes after 2:18 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (198\/21)\/((-6)\/7 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -4*h**2 + 2*h + 6. Let y(i) = i**2 + 37 + 48 - 86. Let p(s) = j(s) + 5*y(s). Determine b, given that p(b) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be -5 - ((-118)\/20 - (-4)\/8). Put 171, 3, 0.3, g in ascending order.\nAnswer: 0.3, g, 3, 171","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -b**3 + 9602*b**2 - 255*b + 25?\nAnswer: -6*b + 19204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j\/(j**1\/j))\/j)\/(j*j*j**(-6))*(j*(j\/(j**(3\/8)*j*j))\/j)\/(j**(1\/4)*j) assuming j is positive.\nAnswer: j**(11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 14*c**2. Let k(u) = 6*u**2. What is k(q(i))?\nAnswer: 1176*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -32*d**6*w**2 - d**4*w**2 - 3*d**2*w**2 + 3*d**2*w - 20*w**2 wrt d.\nAnswer: -3840*d**3*w**2 - 24*d*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ob when two letters picked without replacement from {o: 5, b: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -v**3 - 109*v**2 + 2886*v + 527. Determine y(-131).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 9 - (-10 - (-18 - 6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -318 times 0.1792\nAnswer: -56.9856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 4501045.89 to the nearest one thousand.\nAnswer: 4501000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:22 PM and 2:58 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -300684 and -9?\nAnswer: 2706156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = 17*k**2 + 16*k - 34. Let z(h) = -100*h**2 - 95*h + 205. Let a(f) = 35*o(f) + 6*z(f). Factor a(q).\nAnswer: -5*(q - 2)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*c + 11*c - 3*c + (-5 + 3 + 1)*(-2*c + 0*c + 0*c))*(-2 - 2 + 5).\nAnswer: 17*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -5252495.8 to the nearest 100000.\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 20095? (a) 0.1 (b) 0 (c) 3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 986 and 5?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = -105 + 1149\/11. Which is bigger: z or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 348*s**2 - 690*s**2 + 346*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 294883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -1112828 divided by 77\nAnswer: -1112828\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -306*x - 960*x**2 + 1026*x + 493*x - 793*x**2 + 183*x**2 wrt x.\nAnswer: -3140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Express (g + 2*g - 6*g)*(2*g**2 + 3*g**2 - 3*g**2) + 3*g**3 - 2*g**2 + 2*g**2 - 3*g**3 - 3 + 3 as j*g + d*g**3 + w*g**2 + z and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -27 or -1.620278?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 1927 - 1?\nAnswer: 1926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -3*l**2 + 101*l + 12. Determine z(34).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 0 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 432 minutes before 2:38 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b = 18924 - 18929. Let q(s) = 3*s**2 + 13*s - 3. Give q(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 21 = 3*p, 9*p = 4*z + 4*p - 29. Let u be z + -21 + 4 - -5. Let n(l) = l**3 + 6*l**2 - l + 1. Determine n(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4693, 6444, 8193, 9940, 11685, 13428, 15169?\nAnswer: 16908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -6\/13 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = 44*j + 53. Is q(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = c**3 + 5*c**2 - 5*c + 4. Determine t(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 58651 is divided by 1297?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -9*h**2 + 5*h - 7. Let g(c) = 4*c**2 - 2*c + 3. Calculate -5*g(m) - 2*u(m).\nAnswer: -2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 40, -1, -7, -3, 1.\nAnswer: -7, -4, -3, -1, 1, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*m + 26*m - 17 = -3*r, 2*r - 3*m = 3. Let p(x) = 9*x - 93. What is p(r)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-19)\/(-95))\/((-2)\/(-30)). Let y(w) = 2*w + 1. Let k be y(2). Suppose 5*d = -k*h + 40, d = -c*d - 20. What is the highest common divisor of h and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0001198007663 to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -0.09 plus 165097.26?\nAnswer: 165097.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*w - 5*w. Suppose -3*y + 4*y + 3*n - 157 = w, 2*y - 314 = 2*n. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -11*t. Calculate the least common multiple of y(-2) and 3\/(3\/(-2))*-3.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + (-1*sqrt(1500)*-1)\/(2*sqrt(5)*4*6))**2.\nAnswer: 5*sqrt(3)\/4 + 1753\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from gggegegg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d = 121.9 + -130.9. What is the third biggest value in d, 1\/2, -2\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 102*i - 100*i - 436. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:44 AM and 5:39 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4887*0.028.\nAnswer: -136.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2\/(-4)*(-2)\/(-2). Suppose u + 8 - 3 = 0. What is the second biggest value in u, -2\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (497 - 492 - s + 5*s)*(-163*s**3 + 117*s**3 + 178*s**3).\nAnswer: 528*s**4 + 660*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 505216649 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*c = 2*g, 7*g = 8*g - 2*c - 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*v - 3 - 21. Let i be -4 + 11\/((-55)\/(-140)). Is 8\/i - (-484)\/v a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:43 AM and 10:38 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -3.8, -2.8, 0.5.\nAnswer: -3.8, -2.8, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 54 = -4*b, -5*b = -3*b + 3*z - 32. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.2300019 - 0.23. Round y to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 3 w when four letters picked without replacement from {j: 2, w: 10}.\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -c**2 + 10*c + 4. What is z(6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-585)\/(-6) + (72\/(-16) - -5). Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2\/5*k**2 - 4\/5*k + 0 + 2\/5*k**3 = 0. What is k?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 707 minutes after 3:51 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (12\/20)\/(20427\/6190)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3778, -15096, -33958, -60364, -94314, -135808, -184846?\nAnswer: -241428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 2*o**2 - 115718*o + 10. Determine i(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 16 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 174562 is divided by 1467?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/3 in -5, 2, -6\/5, -2\/3, -0.295?\nAnswer: -0.295","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -y - 4 = -4*w - 16, 0 = 2*y - w - 10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 1, -18, 4 in increasing order.\nAnswer: -18, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (-9)\/4*(-25)\/(1575\/(-24))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 568411 - -11\nAnswer: 568422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = 2*i + 2*i. Let l(x) = 2*x - 7. Let m be l(i). Solve 5*n = 4*c + 3 + 42, m*n - 10 = -3*c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = u**3 - u**2 - 2*u - 1. Calculate a(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 14*o - 260*o - 42*o - 52 with respect to o.\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = v**3 - 6*v**2 + v - 7. Let k be i(6). Let n be k\/(-6)*3*6. Let w = 2.7 - 2.2. Put w, -0.1, n in decreasing order.\nAnswer: n, w, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*r - 3*r = 76200000. Round r to the nearest 1000000.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -62 and 5248?\nAnswer: -325376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 157792893 to the nearest integer?\nAnswer: 12562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -141 plus -36.3?\nAnswer: -177.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = -295 - -288. Let n(a) = -18*a**2 + 7*a + 7. Let z(r) = -12*r**2 + 5*r + 5. Give y*z(x) + 5*n(x).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1218 and 42234846?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 9 - (406\/35 - 3)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -38*g**5 - 6*g**4 + 1494*g**2*x + 24489*g*x - g - 2*x + 1 wrt g.\nAnswer: -760*g**3 - 72*g**2 + 2988*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -220 times 134?\nAnswer: -29480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j = z + 5, -4*z + 3*j + 1 - 8 = 0. What are the prime factors of (-466 - -2)*z*(20 - 19)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify t\/t**26*t*(t\/(t\/((t*t*((t**(-3\/13)\/t*t)\/t)\/t)\/t)*t))\/t*(t*t*(t*(t\/(t**(-9)*t))\/t*t)\/t*t*t)\/t*t**(3\/5) assuming t is positive.\nAnswer: t**(-951\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.13 or 6.77?\nAnswer: 6.77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3\/376? (a) -0.2 (b) 5 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -f**2 + 5*f + 6. Suppose -2*q + 4*p = -6, 4*q = -5*p + 13 + 12. What is j(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*h**3 - 3 + 3 + (-2*h**2 + 4*h**2 - 4*h**2)*(-2 + h + 2) + 131*h - 2*h**2 + 34 - h**3 - 132*h - 12 to g*h**2 + m*h**3 + s + w*h and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -19? (a) 5\/4 (b) 1\/2 (c) -1\/5 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 1+-48976040320805\nAnswer: -48976040320804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = 8*g**3 - 90*g**2 + 2*g - 4. Let y(i) = -i**3 - i**2 - i + 1. What is -x(q) - 4*y(q)?\nAnswer: -4*q**3 + 94*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d - 6 = 0, 4*k - 27 = -0*k + d. Let j be (k\/21)\/(13\/7). Let i = 1 - -2. What is the nearest to j in 2, i, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.184 + -0.566. Let i = b - -0.25. Suppose 0 = 6*q - q + 10. What is the second biggest value in q, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 smaller than 1\/626418?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = n**3 - 7*n**2 - 6*n + 8. Let v(c) = 7*c + 21. Let x be v(-2). Calculate j(x).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1358 take away 5?\nAnswer: 1353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8686.\nAnswer: 2, 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 415836667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 31 times 5?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -0.04294711 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -255.993 + -1381?\nAnswer: -1636.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35 = -c - 2*h - 3*h, -4*h = -5*c + 59. Which is bigger: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 1, z: 1, k: 1}. What is prob of sequence kz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 13187184*h**2 + 8400835 with respect to h.\nAnswer: 26374368*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3987 is divided by 105?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 418 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -422*f - 19*f**2 + 11*f**2 + 2*f**3 + 8*f**2.\nAnswer: 2*f**3 - 422*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 359 minutes before 9:19 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 1\/20 of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 133*j**4 + 8*j**2 - 245*j - 4 wrt j?\nAnswer: 1596*j**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide 186383 by 2.\nAnswer: 186383\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2227981.\nAnswer: 7, 41, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 + 15 + 66 = -5*y for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.05 and -4184895.\nAnswer: -4184894.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = 42 - 40. Solve k = -3*r - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/3? (a) -0.4 (b) -0.04 (c) 20\/233\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 648101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 25082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -0.15, 0.04, 2\/5, -0.24471, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 366 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -17808 divided by -12?\nAnswer: 1484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 836 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -590, -1990, -4316, -7562, -11722?\n\"Answer: m**3 - 469*m**2 - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 313*b**2 + 0*b - 154*b**2 + b**3 - 165*b**2 + 6*b - 9. What is d(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 3.11947?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3288210 is divided by 1644099?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -8 in 0.2, 101, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 33*r - 4. Let i(s) = 67*s - 9. Let f(n) = -6*i(n) + 13*k(n). Let p be f(-3). Let a = -2 - p. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -25951*c + 25942*c - 324 = 0 for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x**4 + 369*x**3 + 3129*x**2 + 2007*x - 5502 = 0. Calculate x.\nAnswer: -7, -2, 1, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 23 + -24 - (2 - (-2 + 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve b = -5*s - 34, -8 = 13941*b - 13942*b + 2*s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -830 = 23*k + 10*k - 1292. Suppose 5*f - 25 = -5*o, -5*f = -o + 3*o - 19. Suppose -15 = -6*i + f*i. Solve 0 = -i*j + k - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 868871 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b = 13 + 34. Let l = b + 13. What is the greatest common divisor of 24 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 70668564 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = -43\/82 + 211\/246. What is the nearest to f in -1\/9, 2\/9, -20?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 28*b + 246. Let g be j(-8). Suppose -g*o - 2 = -24*o - 4*f, 0 = -5*o + 4*f + 19. Let y = -1 - -0.9. Put -0.4, o, y, -2\/11 in descending order.\nAnswer: o, y, -2\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 539331 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 smallest common multiple of 96744670 and 10?\nAnswer: 96744670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*s**2 + 2 - 16 - s**2)*(622*s**2 - 195*s**2 - 127*s**2).\nAnswer: 600*s**4 - 4200*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 1, t: 2}. Give prob of picking 3 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = -16 - -15.999901. What is l rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that -2*j**2\/13 - 187050772*j\/13 = 0.\nAnswer: -93525386, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x = -2*x + 4*y + 111, -x + 76 = 3*y. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*r = -4*r + 1091616. Let d = 66904 - r. Round d to the nearest 10000.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 582 minutes after 2:52 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = 6 + -11. Let g = -766 - -774.66. Let a = 0.34 + g. What is the nearest to -2\/7 in a, 1\/4, w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 12*l - 2*l**2 - 6*l**2 - 2*l + 0*l**2 + l**3 - 5. Calculate k(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3.058 times 31.8?\nAnswer: -97.2444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 6265245128 to the nearest integer?\nAnswer: 1844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -17008*y**3 + 1985*y**2 - 1493856 wrt y.\nAnswer: -51024*y**2 + 3970*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 10539 and 58680.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -336, -669, -1002, -1335, -1668, -2001?\n\"Answer: -333*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -f - 10. Suppose -5*m + 9*m = 0. Suppose -2*d + m = 2*c + 8, d = -2*c - 8. Determine a(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 10578\/7 - 1511. Factor -5\/7*r**3 - 4\/7*r**4 - 2\/7*r**2 + 0 - c*r**5 + 0*r.\nAnswer: -r**2*(r + 1)**2*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 510888 is divided by 462.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 31\/953 or 0?\nAnswer: 31\/953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uu when two letters picked without replacement from {a: 10, u: 6, v: 4}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = -121 + 117. Which is the nearest to -2\/3? (a) -3 (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 6*3*(-60)\/(-27). Suppose -18 = -2*a + p. List the prime factors of a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/(n\/n**(-2\/3))*n**(-5\/2)*n)**(-47)\/(n*n\/((n*((n\/((n\/((n*n\/(n\/(n**(-2\/7)\/n)))\/n)*n)\/n))\/n)\/n*n)\/n)*n*n**6)**50 assuming n is positive.\nAnswer: n**(-19423\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.15*19038.\nAnswer: -2855.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -4\/3, -0.29, -4, 11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 482 minutes after 8:45 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -0.583862337 rounded to 3 dps?\nAnswer: -0.584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from jffjjfpfsprjss.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 4*l**3 + l + 1. Let v be h(-1). Let g be (-2)\/v*-10*(-6)\/6. Let t(r) = 13*r - 2. What are the prime factors of t(g)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 2 (b) -5 (c) 3 (d) 3\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert -344 (base 6) to base 9.\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = 40 - 31. Let r(w) = -2*w**2 + 18*w + 8. Let q be r(p). Let c(k) = -2*k**2 + 11*k - 5. Let x(b) = -b**2 + 7*b - 3. Calculate q*x(i) - 5*c(i).\nAnswer: 2*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 118 = -123. Solve -z*t + 10 = 3*q, 3 - 2 = -t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*1*sqrt(528))\/(sqrt(12) - sqrt(120)\/sqrt(160)))\/(-3*(1*sqrt(16)*6 + sqrt(16))\/sqrt(4)).\nAnswer: -8*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.3105 - 2.7.\nAnswer: -3.0105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 102236 divided by -2?\nAnswer: -51118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o = 18 - -5. Let x(p) = 92*p**3 - p**2. Let w be 3*(1\/3 + 0). What is the remainder when x(w) is divided by o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (721 - 724 - (23 + 1)) + -34.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*n - 2*n + 34*n + 3 - 29*n to the form c + o*n and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*j**4\/13 - 6*j**3\/13 - 44*j**2\/13 + 48*j\/13.\nAnswer: 2*j*(j - 6)*(j - 1)*(j + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f = -4, -f = u - 3 - 1. Suppose -2*k + 4645 = -u*y + 6*y, -3*y = 2*k - 4651. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000004112 to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.63 - -3.37. Let t = 3.07 + -0.07. Suppose -5*f - 5*h = -0*f + 5, -3*h - 19 = -5*f. Which is the closest to -1? (a) t (b) f (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 168 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h be (108\/(-126))\/((-3)\/14). Let a = 1119407\/196816 - 1\/12301. Calculate the common denominator of (-707)\/(-616)*h - 5 and a.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*i - 3841 = 125. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 183991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k + 3 = -2*j - 5, 0 = -5*j - 5. Is -3 + (1284\/k)\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -9*j + 82. Let k be u(0). Is 17\/(166\/k - (3 - 1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -5, 10571, 0.046, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 131697 is divided by 906.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -1218763.53 to the nearest 10000.\nAnswer: -1220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 85260000 rounded to the nearest one million?\nAnswer: 85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 21087912 to the power of 1\/3, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -i + 3. Suppose -5*t - 3*n + 29 = 0, -33 = -5*t - n - 10. Suppose 0 = -3*z + 5*z - t. Suppose 0 = -z*d + 5*d - 18. Calculate v(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 286070670 divided by 1410\nAnswer: 202887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1.4181 - -1.4181. Which is the fourth biggest value? (a) 1 (b) 2 (c) 7 (d) -2 (e) y\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2.4751 + 1.4751. Sort n, -0.07, -5, -4, 1 in decreasing order.\nAnswer: 1, -0.07, n, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 3\/(2 - 219\/114). Suppose c = 3*z + 5*m - 1, -3*m + 9 = z. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*p - 3193 + 409. Let w(t) = 946*t**2 - p*t**2 - 468*t**2. Let k(x) = -3 + 3 - 3*x. What is k(w(l))?\nAnswer: -42*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.6? (a) 0 (b) 13 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 38 - 345\/(-92)*((-14)\/3 - -2)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 408 minutes before 1:14 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 68701.79 millilitres in litres?\nAnswer: 68.70179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = 2*c**3 - 8*c**2 - 2*c - 2. Let m(r) = 6*r**2 - 1. Let h be m(3). Suppose h = 11*z - 2. Let q(v) = v**3 - 5*v**2 - v - 1. What is z*u(o) - 8*q(o)?\nAnswer: 2*o**3 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qzqq when four letters picked without replacement from {q: 3, z: 1, o: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.2 - 0.3. Let d = 10029 - 10034. What is the biggest value in 14, d, q?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 + (22 - 30 - (12 - -4)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -27601*t**2 - 4*t - 5. Let g(q) = 27601*q**2 + 3*q + 5. Let z(m) = 2*g(m) + 3*l(m). Let j be z(-5). Round j to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -111 or -112?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -4*s**2 + 4*s + 16. What is d(-6)?\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -61*q - 63 - 120 = 0. Let t(f) = f - 2. Let a(j) = j - 4. Give q*a(r) + 5*t(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -d**3 + 4*d**2 + d - 4. Let m be b(4). Solve 4 = 5*l + 3*k + 18, -3*l + k = m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 11? (a) -1222513 (b) 2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -p + 21. Let z be r(10). Suppose -6*s + 440 = -s. What is the highest common factor of s and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 6*v + 58. Determine f(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -2*-10*(-21)\/60\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 1871181522 divided by -6?\nAnswer: -311863587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (1 + -2)\/((-39)\/3666) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) be the third derivative of 17*t**8\/6720 - t**5\/120 + t**4\/12 - 2*t**2. Let u(d) be the second derivative of q(d). What are the prime factors of u(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -317, -596, -1201, -2246, -3845, -6112, -9161?\n\"Answer: -19*l**3 - 49*l**2 + l - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((1440\/(-28))\/9 - -6)\/(3\/42). What is the closest to 1\/4 in 1, w, 223, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0483577754 to 6 decimal places.\nAnswer: 0.048358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8 + -15 - -2 - 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -2*j**4 + j**3 - 2*j. Let m(d) = -790*d**4 + 5*d**3 - 10*d - 383. Let s(l) = -m(l) + 5*z(l). Differentiate s(c) wrt c.\nAnswer: 3120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 167.862 + -168. Let f = -47.138 - m. Let o = -46.4 - f. Which is smaller: -4 or o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -3*r**3 - 1. Let t be i(-1). Suppose c - 5 = -t. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -24*j = -81181 + 80677 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -2290, -4585, -6894, -9223, -11578, -13965, -16390, -18859?\n\"Answer: -u**3 - u**2 - 2285*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3442 + 3446. Let n(s) = s**3 + 5*s**2 + 2*s - 4. Let i be n(-3). Put l, i, -4 in descending order.\nAnswer: i, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2070833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x and 1 l when three letters picked without replacement from lffeffxeeeefea?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 228 and 108.\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (-10 - -1) + 15 + -8 + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -18 + 46. What is the remainder when 95 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.12 times -1422.5?\nAnswer: 170.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -2*p. Suppose 8*o = 4*o + 316. Let z(j) = o - 79 - 5*j. What is n(z(q))?\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-130)\/(-46215))\/(-3*(9\/(-81))\/(3\/4)).\nAnswer: 1\/158","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be (48\/(-60))\/(1\/60). Let u be 13\/(-6) + 2 + 376\/i. Which is smaller: 0.2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 7, 20, 47, 94, 167, 272?\n\"Answer: d**3 + d**2 + 3*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 133358 - 66692 + 3*d - 66684. Let r(y) = 20*y**2. Calculate o(r(u)).\nAnswer: 60*u**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 6.35, 0.8, -3\/167, 4, 0.2?\nAnswer: 6.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5832 - 5831.9. Which is the fourth biggest value? (a) 1\/5 (b) 0.8 (c) p (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) be the third derivative of -w**4\/12 - 23*w**3\/6 - w**2 - 18. Calculate the least common multiple of 30 and q(-16).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g\/((g**2*g)\/g*g)*g\/g**(-2\/7))\/(g\/(g*g**(1\/4)*g))**(6\/17)*((g*g**(-1))**(-8\/11))**(1\/13) assuming g is positive.\nAnswer: g**(173\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -8700358673063+-3\nAnswer: -8700358673066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13690138 is divided by 2898?\nAnswer: 2884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 151 = -2*g - 61. Let u(x) = -7*x**2 + x. Let f be u(-5). Let o = g - f. Is o a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 14*v + 1. Let c be (-509)\/509 - (1 - 2\/2). Give x(c).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1840.3 - 1840. Sort -2\/3, 3, -0.05, t in descending order.\nAnswer: 3, t, -0.05, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 29354189.449 - 1.2?\nAnswer: 29354188.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 991694 is divided by 538.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8*s**4 + 0 + 0)*(-1 - 159*s - 50*s - 141*s).\nAnswer: 2800*s**5 + 8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-13)*k*k**(-1\/4))\/(k**(2\/21)\/k*k**(2\/29)\/k) assuming k is positive.\nAnswer: k**(-25369\/2436)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*l - 2*l = -84 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -32006, -32010, -32014?\n\"Answer: -4*v - 32002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xkkx when four letters picked without replacement from xxfixmkkik?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2103546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = 9 - 7. Sort 0, x, -4 in descending order.\nAnswer: x, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 205464 is divided by 205406.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand -k**4 + 8*k**4 + 6*k**4 + 0 + 0 + 2*k**4 + (-3*k**2 + 3*k**2 - k**3)*(k + 2*k + 0*k).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36 = -2*u + 6*u. Let x be u\/(45\/88) - (-6)\/(-10). What is the second derivative of -1728 + 1728 - z + x*z**2 wrt z?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q = o + 5, 18 = -15*q + 12*q - 4*o. What is the fourth biggest value in -6, -1\/2, 19\/6, q?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*r - 104 - 70 = 0. Let x = r + 39. Calculate the remainder when 59 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 27695897 or 27695894?\nAnswer: 27695897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find a such that -5*a**4 + 30*a**3 + 205*a**2 - 30*a - 200 = 0.\nAnswer: -4, -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c = 405 - 401. Solve c = -0*w - w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -j**3 - 4*j**2 + 18*j + 15. What is the remainder when 106 is divided by o(-7)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -95 + 143. Suppose n + 32 = 2*f. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 2 k when three letters picked without replacement from tztvktkttzztzztzzttp?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify f\/f**12*f**(1\/2)*f*f assuming f is positive.\nAnswer: f**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Subtract 14441 from 3.\nAnswer: -14438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w = -17256553\/34636 + 412\/1237. Let r = 498 + w. Let g = r - 71\/140. Is g less than or equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -12*p + 7. Let i = 25 + -34. Is h(i) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(1152) - sqrt(1152))*3.\nAnswer: -216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*h**4\/3 + 34598*h**3\/3 + 141050*h**2 + 496762*h\/3 + 108196\/3 = 0. Calculate h.\nAnswer: -2459, -11, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-1)\/(-4) + (-22)\/(-24). Let t = -11\/6 + z. Which is smaller: t or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 264? (a) -1 (b) 3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 135202.\nAnswer: 2, 67601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 248 divide 674554296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express 5 - 5 + 29*z**2 as q*z + t + s*z**2 and give s.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 669*f**2 - 4*f*p**2 + 4045*p**2 + 84*p wrt f.\nAnswer: 1338*f - 4*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Subtract -5 from 7354300665.\nAnswer: 7354300670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d = -0 - 0. Suppose d = 5*j + 5*b - 35, 5*j - 2*b - 2 = 12. Calculate the smallest common multiple of j and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-111)\/9*(-8 + -1). Let m = -3818 - -4060. Let d = m - b. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = 159*y + 32. Let w be d(2). What is the greatest common divisor of w and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1 * 5.2.\nAnswer: -5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 83341611 divided by -3?\nAnswer: -27780537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*g**2 + 4*g**2 + 3*g**2 - 7*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -4057 (base 9) to base 4\nAnswer: -232120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 9*m**3 - 2100*m**2 + 6909*m - 2070.\nAnswer: 3*(m - 230)*(m - 3)*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 491 minutes before 9:32 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6, -1, -8, -15, -22, -29?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -11.6*-893.255\nAnswer: 10361.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -0.014+-0.09430545\nAnswer: -0.10830545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = -118 + 828\/7. Find h, given that 0*h + u*h**3 + 0 + 2\/7*h**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 1319*l**2 + 808*l - 816. Calculate p(1).\nAnswer: 1311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = g**3 - 8*g**2 - 11*g + 37. What is k(10)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 256777 <= 256776?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 467197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -58331612*c**2 - 84979086*c.\nAnswer: -116663224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -342413148 divided by 1407\nAnswer: -243364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -166588, -166586, -166584, -166582, -166580?\n\"Answer: 2*h - 166590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0 + -0.4. Let v be 1\/3 - (-68)\/(-132). Which is the nearest to -0.1? (a) -3\/5 (b) d (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qxqm when four letters picked without replacement from {x: 3, m: 1, v: 1, s: 4, q: 2, l: 1}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 96 a factor of 3744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = -11.096 + 0.427. Round g to 1 decimal place.\nAnswer: -10.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2397201698?\nAnswer: 2, 149, 1097, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -401645619, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w be 4*(3 - 2)*-1. Let o(g) = 6*g**5 - 2*g**2. Let z(k) = k**5 - k**2. Let a(s) = w*z(s) + o(s). Find the third derivative of a(j) wrt j.\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -140*i. Let j(c) be the first derivative of -3*c**2\/2 - 198. Determine j(f(m)).\nAnswer: 420*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -i + 29. Let g(o) = -30. Let n(k) = -3*g(k) - 2*q(k). Let y be 572\/(-26) - (1 - 5). Let h be n(y). Let t(l) = -l**2 - 5*l. Determine t(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1972509 rounded to 2 dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 10*t**3 + 4*t**2 - 2*t. What is the lowest common multiple of 23\/(-38 - 8)*(-1 + -27) and y(3)?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -644\/17 - -67654\/1785. Let k(a) be the third derivative of 0*a**4 + u*a**7 + 0*a**6 + 0*a + 0*a**5 + 2*a**2 + 0 - 2*a**3. Differentiate k(v) wrt v.\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15663 (base 7) in base 3?\nAnswer: 20010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 3 or 149177?\nAnswer: 149177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -90022 or -90021?\nAnswer: -90021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*g**3*u**3 + 50164*g**3*u + 2*g**2*u**2 - 4295*g*u**3 wrt u?\nAnswer: 12*g**3 - 25770*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 464909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 42 = 9*t. Is -6 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 8, 1, 122 in descending order.\nAnswer: 122, 8, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4061982319.\nAnswer: 33791, 120209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 688864, 688681, 688498, 688315, 688132, 687949?\nAnswer: 687766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + sqrt(99) + -3)**2 - (sqrt(99) - (4 + sqrt(99))**2)*-6 - (-4*(sqrt(99) + -3) + -5 + -4).\nAnswer: -594 - 114*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.038? (a) 87 (b) 1 (c) 1\/2 (d) 12 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is o in -4*o**5 - 496740*o**4 + 35786312*o**3 + 36779784*o**2 - 35786308*o - 36283044 = 0?\nAnswer: -124257, -1, 1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 81, 160, 237, 312, 385, 456?\n\"Answer: -b**2 + 82*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -30, -743, -2144, -4233, -7010?\n\"Answer: -344*c**2 + 319*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-23760)\/(-32))\/99*10\/(-45).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -8*m - 42. Let s(u) = 13*u**2 + 46*u + 16. Let i be s(-3). Give j(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:28 PM and 6:37 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*q - 140 = 2*q. Suppose q = 2*m - 7*m. Let z = 12 - m. Calculate the remainder when z is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(-1 + 4 + (sqrt(28)\/sqrt(4) + -2)**2*4).\nAnswer: -80*sqrt(7) + 235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-60)\/24)\/(30\/(-9)). Factor -1\/4*x**3 + 0 + 0*x + p*x**2.\nAnswer: -x**2*(x - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -161 divided by -6?\nAnswer: 161\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is d in -d**2\/2 - 40765*d\/2 + 20383 = 0?\nAnswer: -40766, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 22, -91, -384, -947, -1870, -3243, -5156?\n\"Answer: -15*d**3 - 8*d + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -m**3 - 8*m**2 - 7*m - 48. Calculate n(-7).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = -12 + 7. Sort n, 0, -0.2 in descending order.\nAnswer: 0, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -5 - 10?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express 12889 + 1349*c - 12889 as x + n*c and give n.\nAnswer: 1349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:04 AM and 8:58 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -139\/8760 and 83\/1752?\nAnswer: 8760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = t**2 + 10. Give n(-7).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -m + 4*m. List the prime factors of 0 + (-2 - m) + 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 259719549 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 21.07699 millimeters in kilometers?\nAnswer: 0.00002107699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -c - 3?\nAnswer: -f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 235 and 601459.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -30*28\/294*14\/(-4) - 107?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -2*h**2 + 24*h + 9735. What is c(76)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -15 - -1633b4c?\nAnswer: 1633b37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) be the second derivative of -k**6\/24 + k**5 - 35*k**4\/8 + 25*k**3\/3 - 43*k**2\/2 - 119*k. Let o(y) be the first derivative of m(y). Solve o(x) = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 249\/739 + -8\/2217. Which is the nearest to h? (a) -18 (b) -0.08 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 3 - 1)*(9*j + 21 - 21).\nAnswer: 36*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = 4.8 - -0.2. Let w = -4.6 + f. What is the biggest value in -2, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -23*n**5 - 3*n**4 - 10840*n**3 + 74273*n**2 + n - 1?\nAnswer: -1380*n**2 - 72*n - 65040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -4, -0.5, -81, 0.2, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 4 minus 6.7025?\nAnswer: -2.7025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -l = 24*g + 4*g - 27*g + 19, -2014*l = 3*g + 57 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6010*t**2 + 11*t - t + 5*t**3 - t - 7*t.\nAnswer: 5*t**3 - 6010*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -1 + 3*y + 17 + 6 - 4*y. What is the tens digit of o(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 - ((1 - (2 - 26)) + 7 + -15 - -7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3 divided by -18793?\nAnswer: -3\/18793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((196\/(-21))\/7)\/((-4)\/(-6)). What is the biggest value in 0.3, y, -18?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4396769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 3\/671, -0.01, 5, 14515?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -v**3 - 4. Let w(k) be the third derivative of -k**6\/60 - k**4\/24 - 5*k**3\/6 + 23*k**2. What is -3*j(u) + 2*w(u)?\nAnswer: -u**3 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2024, 4028, 6004, 7946, 9848, 11704, 13508?\nAnswer: 15254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 20496190 and 185614.\nAnswer: 3146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor p**3\/4 - 1196499*p**2\/4 - 2393001*p\/4 - 1196501\/4.\nAnswer: (p - 1196501)*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2005802 or -2005801?\nAnswer: -2005801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1f9 (base 16) in base 3?\nAnswer: 200201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put together -107708.778658 and 284.\nAnswer: -107424.778658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 54214 at most as big as 54209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -13 + 95 + -16 + (25 - 12) + (8 - 2)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Add together 7.379 and -3.\nAnswer: 4.379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = v**3 + 12*v**2 - 4*v - 150. Let w be p(-10). Is 1878318\/w + 6\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 2023\/(-68)*(-4)\/6 and -1 + (-128)\/6 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbbbbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 51167063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.2 + 3.8. Let t = 4.1 + 0.9. Let k = 5.4 - t. Which is the nearest to 0.1? (a) -2\/7 (b) g (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 2*d. Let y(s) = 2554970*s - 1. Calculate y(p(i)).\nAnswer: 5109940*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = 471 - 469. Sort i, 72, 1, -5 in increasing order.\nAnswer: -5, 1, i, 72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.01 rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 132083 is divided by 1834.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -2*t - 1. Let u(s) = s + 1. Let n(x) = x + 1. Let l be n(8). Let z be (-6)\/l*(-1 - 8). Let i(m) = z*a(m) + 3*u(m). Determine i(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = -f + 16. Suppose 10 = f*t - 3*t. Suppose -2*n + 4 = t*n. Sort 0, n, -3 in increasing order.\nAnswer: -3, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 4 - 16*q**2 + q**3 - 2*q - 17*q**2 + 28*q**2. What are the prime factors of t(6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 2 from -14527.22528.\nAnswer: -14529.22528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 453 minutes before 5:23 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 + -8 + -4 + 0 + 12 + (63 - 34).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out -8690665 * 40.\nAnswer: -347626600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:40 PM and 2:16 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = k + 2*c - 31, -19 = -k + c + 3. Let z = -17 + k. Suppose 2*u - 4*y = 114, -z*u + 3*u - 2*y = -261. Is u a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-384)\/(-64)*(-56)\/(-21).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -17*r**2 - 1. Let p be t(1). Let m be (-45)\/p - (-1)\/2. Let n be m\/(-9) + 8\/6. Solve 0 = 3*y + 7 - n for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-126)\/(-49))\/6 + 834\/14. Suppose 4*f - t = 88. Find the first derivative of 0*c + f - 3*c + 23*c - 8 wrt c.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (5\/(-15))\/(1\/57). Is -141\/7 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1974 - -1965. Let x(i) = 9*i + 25. Determine x(s).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -p**3 - 14*p**2 + 6*p + 11. Let d be a(-13). Let x = -410119\/9 - -45333. Let t = d - x. What is the nearest to -0.2 in t, -4\/3, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) be the first derivative of 5*l - 1\/8*l**4 + 1\/4*l**3 + 3\/2*l**2 + 6. Let k(u) be the first derivative of q(u). Factor k(p).\nAnswer: -3*(p - 2)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3 + 3. Suppose 3*y - 7 = -4*o, -o + y + 3*y - 22 = v. Is o\/(-11) - 1461\/(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s - 27 = -z - 4, 2*z + s = 11 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 0.2502 * -0.047\nAnswer: -0.0117594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 79920220 is divided by 525?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*s = -0*u - u - 51, 20*u - 9 = 29*u for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fjnnnou. What is prob of sequence ounf?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:52 AM and 9:07 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -4 + 8 - (-217)\/(-18) and 21\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -m - 5. Let w be a(-3). Let t = w - -2. Solve t*b - b + 4*g = -20, 0 = 5*b + 5*g for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*g - v - 96 + 121, 4*v - 55 = g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 27 - 26.83. Let j = 629.9 - 668. Let d = j - -38. Which is smaller: b or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -200234 (base 8) in base 2?\nAnswer: -10000000010011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 49855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 32622597.\nAnswer: 3, 7, 193, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 20 minutes before 5:34 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1252002011 to the power of 1\/2, to the nearest integer?\nAnswer: 35384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = p - 42. Let y be a(0). Let s be (-14)\/(-3) - (-28)\/y. Suppose -7500 = -g + s*g. What is g rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 0 - -4401?\nAnswer: 4401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = 14311 + -14327.142. What is n rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = 7*z - 8*z - 16, -4*a + 2*z + 70 = 0. Let f(m) = -m**3 + 20*m**2 - 17*m - 36. Determine f(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-4)\/(-10) - (2\/(-70) - -1). Which is the second smallest value? (a) 1\/4 (b) 4 (c) y (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3600 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 3353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*o + 2*o + 2*o)*(-o + 3*o + 0*o)*(-8*o - 9 + 9)*(1 + 2*o - 1).\nAnswer: -64*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (22\/(-3))\/(-13 + (-10360)\/(-798)) is divided by 69.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -a**2\/2 - 129857*a\/2 + 5977654.\nAnswer: -(a - 92)*(a + 129949)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from leccluc. What is prob of picking 1 c and 1 l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = a. Let u(l) = 19*l + 164. Let o be u(0). Let s(x) = -100 - 82 + o - x. Determine s(m(f)).\nAnswer: -f - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = 443 - 147. Let f = 508 - p. What are the prime factors of f?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 293632 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j be 69\/2*6\/9. Let s = j + -21. Suppose -3*q = -s*t - 0 - 2, 0 = q - t. Solve -3*p + 5*x - 30 = q*p, -13 = 3*p + 2*x for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 350 is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) be the second derivative of h**5\/12 - h**3\/3 + h**2 + h. Let w(t) be the first derivative of y(t). What is the first derivative of w(v) wrt v?\nAnswer: 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -2*c**3 + 9*c**2 - 2*c - 8. Let n be o(4). Suppose -5*m - 4*q = -2*m - 41, n = 4*m + 5*q - 53. Let b(r) = 11*r - 15. Does 6 divide b(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -14 + 19. Suppose 31 = w*v + 2*y, 40 = 4*v + y + 14. Is v less than or equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -2c18b30 - -4?\nAnswer: -2c18b29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 2*a = -72254, -42*d + 40*d - a = -36129. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5.151013ml to litres.\nAnswer: 0.005151013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4643 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 79536 = 139*z - 91*z. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 2 y when three letters picked without replacement from hhjyy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1\/3405 - -139612\/23835. What is the common denominator of m and 5\/(-56) - 2\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -s**2 + 11*s + 1. Let w be h(10). Let a = w - 7. Let o be 0\/(-1 - -8 - a). Solve -4*m = -o*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -2*z - 0. Suppose 104 = 2*h + 4*s, 5*s = z*h + 2*h - 234. Calculate the greatest common factor of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 3*t - 13. Let s(w) = -w + 4. Determine -4*n(x) - 14*s(x).\nAnswer: 2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 47 = 3*q + 14. Let x(n) = n + 4. Let j be x(q). Differentiate 2 + 20*u**4 + j*u**4 + 1 - 32*u**4 wrt u.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 5136720 and 15410160?\nAnswer: 15410160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -417*p - 396*p + 820*p. Let m(i) = -2*i**2 - 1. What is j(m(s))?\nAnswer: -14*s**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 40.757302?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.6499909 decades to millennia.\nAnswer: 0.006499909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-14)\/(-77) + (-166)\/(-176))\/(234\/390).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1 - 0. Suppose 0 = -4*v + 3*u + 25, -5*v = 4*u - 3 - 5. Solve v*a + x + 1 = 2*s, 1 = 4*a - 5*s for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1098, 1100, 1102, 1104?\nAnswer: 1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -r**3 - 872167*r**2 - 12*r + 61729907 wrt r.\nAnswer: -3*r**2 - 1744334*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yyyyyygggggygygggyyg. What is prob of sequence yygy?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w = 16 - 12. Let n be 32\/(-28)*(-2)\/(-4). Which is the nearest to 0? (a) n (b) -5\/2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -253.2 and 46.8?\nAnswer: -11849.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 26 = 6. Factor 1\/2*p**o + 0 - 1\/4*p**5 + 1\/4*p - 1\/2*p**2 + 0*p**3.\nAnswer: -p*(p - 1)**3*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -32*j - 87. What is the units digit of p(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -3. Let p(l) = -3*l - 1983 + l + l + 1977. Calculate 9*j(w) - 4*p(w).\nAnswer: 4*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g be -5*1 + 23 + -16. Let z(s) be the first derivative of 0*s + s**3 - g - 3\/2*s**2. Find the second derivative of z(w) wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2 or -2739?\nAnswer: -2739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 124 is divided by 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 7 + (137 + -112 + -2 + -117 - (-2 + -13))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -13.64 (b) 0 (c) -1\/6 (d) 5\/4 (e) -1\/4 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(170)\/(sqrt(10) + sqrt(70)\/sqrt(7)) + -1 + sqrt(102)\/(sqrt(12)\/sqrt(2)*-3 - sqrt(6)).\nAnswer: -1 + sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 491 minutes before 5:17 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z + 15 = 5*z. Suppose -z*d = -3*d - 10. Solve 5*s = d*n - 7 - 8, -5*n + 15 = 2*s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 97 - 166. Let b = f - -72. Solve -4*x + b = -3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 3*k = -21, 5*k - 5 = -5*w - 0*k. What is the remainder when 14 is divided by (w - 2) + 15 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -2035 and -1813.\nAnswer: 3689455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -42*h**2 + 41*h**2 + 3 - 3. Let u(f) = -4*f**2 + 4*f**2 - 2*f**2 - 6*f**2. What is u(r(p))?\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify i\/((i\/(i*i*i**27*i))\/i)*i**(1\/13)*i\/((i\/i**8)\/i*i*i)*i**(2\/21) assuming i is positive.\nAnswer: i**(10421\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(4 + (2*sqrt(198)*1 + sqrt(198))\/(-3*(sqrt(2) - (sqrt(32)\/sqrt(4) + sqrt(8)))))**2.\nAnswer: -54 - 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(66)\/sqrt(6)*-1 - sqrt(99)\/(sqrt(9)*-3)) + (1*sqrt(110)*2)\/(sqrt(90)\/(2*sqrt(9))))**2.\nAnswer: 1100\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 312354040 (base 6) in base 11?\nAnswer: 3088283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n - 6 = 3*g, 541*g - 8*n + 52 = 545*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2\/9 (b) -1 (c) 2 (d) -2 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Determine p, given that -3*p**5\/2 - 3*p**4\/2 + 9*p**3\/2 + 3*p**2\/2 - 3*p = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 61\/138 and 37\/42.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 74 = g, h - g + 112 = 4*h. Let b = 62 - h. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 2642 * 54.\nAnswer: 142668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -23, -30, -37, -44, -51?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -7 - -10. Find the third derivative of -3*d**3 - 3*d**2 + 19*d**3 - d**k wrt d.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8219 = -16*z + 10511 + 10566. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z = -2*j + 20605 + 13751, 154635 = 9*z - 2*j. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3 + 3082\/14 + (-1)\/7 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -d**2 - 8*d - 3. Let h = 5 - 11. Let c be l(h). Solve -2*r - c = r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 417 is divided by 211?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16096?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -q. Let w(i) be the third derivative of i**8\/6720 - 11*i**5\/60 - i**4\/8 + 7*i**2. Let b(l) be the third derivative of w(l). Give o(b(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) be the first derivative of g**4 + 4*g**2 - 255*g + 279. Differentiate c(y) wrt y.\nAnswer: 12*y**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*j - 3 + 8 + 0 + (-3 + 3 + 1)*(4*j + 0*j - 3*j).\nAnswer: -j + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*k = -18*k - c + 208, 3*k - 122 = -2*c. Calculate the greatest common factor of k and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = 17*q - 9. Let z(j) = 18*j - 10. Let n(v) = -5*w(v) + 4*z(v). Let r(h) = -h. Let y(a) = -n(a) + 6*r(a). Differentiate y(t) wrt t.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 176*x - 441 = -179*x + 334*x for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 304109\/1166 + 1311\/106. Let z = l + -273. Factor z + 4\/11*c + 2\/11*c**2.\nAnswer: 2*(c + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5590035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 903.3202 micrograms?\nAnswer: 0.0000009033202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-19)\/(-114))\/((-4)\/56).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2580 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 2*j**2 - 23*j - 83. Is w(-9) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -52, -221, -502, -895?\n\"Answer: -56*r**2 - r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -10 in 3, -0.14, 0.3, -1492, 4?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = 4*s**2 + 3*s + 3. Does 11 divide y(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 5*r - 8. Solve 5*t = 3*n - 0 - 2, -r = -n + 5*t for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -l**4 - 6*l**4 - 2*l**4 + (0 + 0 + 1)*(l**3 - 4*l**3 + 4*l**3)*(-3*l - l + 6*l).\nAnswer: -7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*c**2 - 3*c**2 + 0*c**2)*(-1 + 1 - c) - 2*c**3 + c**3 + 2*c**3 + (-4*c + 4*c - c)*(304*c**2 - 207830*c + 207830*c).\nAnswer: -304*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3019627309 to the nearest integer?\nAnswer: 1445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -35*p**2 + 488*p + 19. Calculate y(14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 2, e: 6, t: 5, i: 2, s: 1}. Give prob of sequence tts.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-46)\/(-69))\/(2\/12). Suppose -242 = -m*y + 2*c, -4*y + 0*y + 235 = 5*c. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4*u - 2 + 2)*(-3*u + 2*u + 0*u + (-6 + 2*u + 6)*(-4 + 2 + 3)) + (-u - u + 4*u)*(2*u + 0 + 0) to the form i*u + v*u**2 + f and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p - 46 - 32 = 0. Let u be (-6273)\/(-468) + (-4)\/p. Let j = u + -14. Which is the smallest value? (a) 0 (b) j (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange l - 2 + 2*l + 2*l + 0 to the form x + u*l and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 30 divide 1937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 63\/176 and -29\/3536.\nAnswer: 38896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) be the first derivative of 2*l**3 - 5*l**2 + 159*l + 108. What are the prime factors of a(15)?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 66180 or 66238?\nAnswer: 66238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 7, -2, -1, 0.016, 2, 316, -3 in decreasing order.\nAnswer: 316, 7, 2, 0.016, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g = -3*t - g - 14, -3*t + 10 = 4*g. Let l be t + (2 - -1) - 0. What are the prime factors of 11 + (l - (0 - -1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 3*x = -42. Let z(r) = -r + 66. Let n be z(0). Suppose 0 = 5*d - 266 + n. Calculate the remainder when d is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -7 - -3. Let k be (-10)\/a - 4\/8. Let b(t) = -k*t + 0 + 0. Let v(h) = -h. What is b(v(j))?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -d - 2. Let q(i) = -i**2 - 18*i - 72. Let b be q(-8). Give a(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1374 is divided by 457?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -10 divided by -15\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 4*j - 4. Let t = 6 - 6. Let v(a) = -1 - 2 + 6 + t - 3*a. Determine 5*s(g) + 6*v(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 50231.08 years to months.\nAnswer: 602772.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -243 + 435. Calculate the remainder when f is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 4, -1838 in decreasing order.\nAnswer: 4, -4, -1838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = l**3 + 7*l**2 + 5*l - 8. Suppose -n + 178 = -2*a, 3*a + 176 = 4*n - 3*n. Let d = n + -188. What is c(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (3 - -3) + -4 + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 4*g**2 - 93*g + 63. What is c(20)?\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 5*v + 4. What is the tens digit of h(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 18\/5161 and 46\/9.\nAnswer: 46449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 20798201, 20798196, 20798191, 20798186, 20798181?\n\"Answer: -5*i + 20798206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 482 minutes after 2:39 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d be -2 - (191 - (-24)\/6). Let g = d - -251. Calculate the least common multiple of 18 and g.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (t**3 - t**2 + 3*t**3 - 2*t**3)*((-3 + 4 - 2)*(-4*t + 3*t + 2*t) + 13329*t + 27828*t - 10675*t) to k*t**4 + a*t**3 + h*t**2 + i + g*t and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -2.603+3.4\nAnswer: 0.797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (-12*i**3 + 14*i**3 - 6*i**3)*(145*i + 161*i - 249*i) in the form d*i**2 + w*i + z*i**3 + l + y*i**4 and give y.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does -73\/308 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify b\/b**33*b**(-3\/4) assuming b is positive.\nAnswer: b**(-131\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is (-1 - -108) + -3 - -3 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1038*w**4 + 873*w**3 - 171*w**2 + 78723265*w?\nAnswer: 12456*w**2 + 5238*w - 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 16297313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 254081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 100 = 5*x - 3*x. Let d be (-2)\/(-13) - (7 - 9607\/169). What is the second derivative of v + 4*v**5 + x - d wrt v?\nAnswer: 80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 10\/27 - -8\/27. Let z = 0.061 - 0.061. Let r = z - -0.1. What is the closest to -0.07 in -0.3, c, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 30885661?\nAnswer: 139, 222199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*q + 525 - 517 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2918941087 to the nearest integer?\nAnswer: 1429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose s = 7*u - 9*u + 1239, u - 2*s = 632. Calculate the remainder when u is divided by 617.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find y such that 0 - 1\/7*y**3 + 3\/7*y**2 - 2\/7*y = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-9350)\/561 + (2*7)\/1)*39\/(-4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2461?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand -145 + y - 7*y**2 + 145 + (2 - 2 - 2 + (-3 + 1 + 4)*(0 + 4 - 2))*(2*y**2 + 2*y**2 - 6*y**2).\nAnswer: -11*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*m + 97 - 86 - 11 + 0*m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = -59 + 58. What is the second biggest value in -5, 12\/11, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = u. Let l(b) = -b - 141. Let k(t) = -l(t) + 4*v(t). List the prime factors of k(0).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*n - 63778 = -13*n + 32408. What are the prime factors of n?\nAnswer: 2, 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 15086 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = 90408755\/418 - 216289. Calculate the common denominator of 61\/176 and l.\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - 13*c = -17*c - 725, i - 2*c = -235. Is -242 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-901)\/742*120\/340?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from {v: 8, r: 4, c: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 - 2 = m. Let s = -1 - m. What is the units digit of (-6)\/(-9)*15 - s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*p**2 + 14*p**2 + 7*p**2 - 27*p**2.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*y**2 + 16 + 1470923*y - 1470923*y.\nAnswer: -3*y**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) be the third derivative of 0 + 20\/3*m**3 - 19\/30*m**5 - 1\/105*m**7 + 20*m**2 - 1\/168*m**8 + 0*m + 17\/60*m**6 - 4\/3*m**4. Suppose o(w) = 0. Calculate w.\nAnswer: -5, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -16*q + 7. Let t be f(11). Let r = -118 - t. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 28297404 and 21555.\nAnswer: 4311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -w**3 - 18*w**2 + 904*w + 14250. Give x(-15).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -390 - 9973.3\nAnswer: -10363.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0 - 0.1. Let v be (-6)\/(-9)*3\/2. Let a be (-3)\/((-9)\/(-2)) + v. Is o < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5172467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 50, -6, 195, 2 in descending order.\nAnswer: 195, 50, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (9 - -1) + -3 - 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = g**2 + 5*g - 2. Let j be (-10)\/15*81\/6. What is the units digit of q(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 2 (b) 0.4 (c) -0.4 (d) 75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 1590467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 5399 (base 13) to base 5\nAnswer: 332433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*k - 12*k = 2*s + 152, 2*k = 2*s - 88. Which is bigger: k or -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -25 + 28. Suppose a = u*a - 6. Solve -3*o - a*g = 15, -2*o - 3*o - 4*g = 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 250 minutes after 12:13 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 9*h**2 - h - 20. Let g be i(5). Let v be (0 - (-12)\/(-21))*(-140)\/g. Which is the closest to -1\/2? (a) 0.1 (b) v (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 7*n**2 - 879*n**3 + 83*n + 122*n**3 - 111*n**3 wrt n.\nAnswer: -5208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -5, -252 in ascending order.\nAnswer: -252, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*q**3 - 573*q**2 + 8182*q - 4704.\nAnswer: (q - 98)*(q - 16)*(5*q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*d + 5 = -337. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -y**5 + 356*y**4\/7 - 2645*y**3\/7 + 1660*y**2\/7 + 2652*y\/7 - 288 = 0 for y.\nAnswer: -1, 6\/7, 1, 8, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 6802288 divided by -1?\nAnswer: -6802288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**4*a*(a\/a**2)\/a)\/(a*a\/(a\/(a**(-3\/5)*a)*a)*(a\/a**(4\/5))\/a))\/((a*a**(-3\/2))\/(a*a**(-3\/5)*a)*(a*a**(-1))**(-24\/7)) assuming a is positive.\nAnswer: a**(53\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 45368, 45193, 45014, 44831?\nAnswer: 44644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3\/12*0 + 4. Let i be (-1 - -2)*-2 + 47. Suppose i + 27 = w*y. Calculate the lowest common multiple of 4 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 2\/(6\/(-9)*19)*(-3000)\/(-9000)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 30.22622 tonnes in grams?\nAnswer: 30226220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1199 divided by 11?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -r**2 - 19*r - 7. Let h be (35\/(-14))\/(2\/12). Is x(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 3, 6\/7, -2, 1\/3?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = w**2 + 27. Let p be a(0). Let o be 6*3\/p*1. Factor -2\/3*u**2 - o*u**3 + 0 + 0*u.\nAnswer: -2*u**2*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11 + 1101110001110101?\nAnswer: 1101110001111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 25.0292 kilometers in nanometers?\nAnswer: 25029200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 747137449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = -7546\/17 + 444. Let a = 12.058 - 12.2. Let q = -0.058 + a. What is the nearest to -0.4 in q, 2\/3, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 152450 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = 115 - 103. What is the remainder when 17 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u = -2*w + 85, 5*u - 53 = -4*w + 114. Suppose 0 = 7*d + w - 31. Let v(j) be the first derivative of -3*j**2 + 1. Calculate v(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -21 + 75279?\nAnswer: 75258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -25\/37 and -67\/19098.\nAnswer: 706626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(70) - sqrt(70)*-3*3)\/(2*sqrt(90)).\nAnswer: 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*(-2 + sqrt(11) + sqrt(11)) - sqrt(11)) + -3)**2 + -2.\nAnswer: -90*sqrt(11) + 354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -i**3 + 107*i**2 - 104*i - 210. What is s(106)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1.1 - 0.8. Let t(z) = -4301*z + 38709. Let o be t(9). Put 16, o, m in increasing order.\nAnswer: o, m, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 7895 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4449, -8893, -13337?\nAnswer: -17781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -b**3 + b - 4. Let x(r) = -16*r + 6*r + 4*r**3 + 17 + 5*r. Give -9*o(q) - 2*x(q).\nAnswer: q**3 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o be -2 - ((-7355)\/(-8) + 2). Let c = o + 919. Calculate the common denominator of c and 73\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 433 - 442 = 3*t. Put -13, t, 1, -4 in increasing order.\nAnswer: -13, -4, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -17\/13 - -175\/104. Let q = -41 - -41.1. Which is the fourth biggest value? (a) o (b) 0 (c) -3\/2 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-21*c**2 + 38*c + 4*c**2 + 13*c**2 - 2*c**4)*(1 - 2 + 2)*(1 - 4 + 0) to the form a*c**3 + s*c**4 + p*c**2 + u + h*c and give h.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 1212 (base 3) to base 7\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 2*v**2 + 32*v + 58. Let f be s(-9). Which is smaller: f or -886\/13?\nAnswer: -886\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 17, m: 3}?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 5, -1694 in increasing order.\nAnswer: -1694, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -r + 32. Give d(-25).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 60785570533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4804 + 7405. Is w at most as big as 12210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -754209879\/20 - -37697276. Let n be (-356745)\/(-27) + 4\/18. Let s = n + a. What is the common denominator of s and 117\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -7*w**2 + 26*w + 4. Let q(m) = 3*m**2 - 12*m - 1. Let p(j) = -4*g(j) - 9*q(j). Let c be 10\/(-40) + (-19)\/4. Give p(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 12 + -12. Solve 4*b + 16 = -z*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 9.608 + -9.608. Which is the nearest to 1\/4? (a) -5 (b) 16 (c) -3 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s*(s*s**1*s*s)\/s)**7\/(((s*s\/s**4*s)\/s*s)\/(s**(-2)*s)))\/((((s\/(s*s**1*s))\/s)\/s**6)\/(s*s**(-1\/6)\/s*s**(-2)\/s)) assuming s is positive.\nAnswer: s**(203\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1163015 and 147965.\nAnswer: 340763395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-v + 5*v - 2*v)*(3*v**3 + 3*v**3 + 16*v**3)*(9 + 15 + 13)*(-1 + 0 + 4).\nAnswer: 4884*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 1.85*0.4\nAnswer: 0.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Add together 3 and -20.62669868464.\nAnswer: -17.62669868464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express f + f + 0*f**3 - 2*f**3 + f in the form b + v*f**3 + g*f**2 + c*f and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*a*i**5 - 611*a*i**4 - a*i**2 + 2*a + 1 wrt i.\nAnswer: 120*a*i**2 - 14664*a*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*r - 13*r - 85 = 0. Suppose 2*x - 25 = -r. Solve -12 = x*p + 8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 3\/(-3)*(-1 - -1). Suppose n = -g - 3*t - 18, -5*t + 15 = -0. List the prime factors of 5\/(-15)*(g + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*t**4 - 8215*t**3 - t**4 + 10*t**2 + 8218*t**3 + (2*t + t - 4*t)*(-t + t - t**3) to x + d*t**2 + v*t**3 + u*t + k*t**4 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 5854243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = 7 + -6. Which is the nearest to p? (a) -0.5 (b) 0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 62.119 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**(-13)\/o*o*o**(1\/21) assuming o is positive.\nAnswer: o**(-272\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 22 and 6011372?\nAnswer: 66125092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 3813493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v be (20\/6)\/(2 + (-3040)\/1524). Let z = v - 385. Is z a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 143406 + -101366. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1 = d, 0 = -n - 4*d + 6 + 3 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1345*m**2 + 2997*m**2 - 1590*m**2.\nAnswer: 62*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*m + 2*d = 0, 361*m = 366*m - 5*d - 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -23*l**3 + 5*l**2 - 9*l - 146. Let x(t) = 13*t**3 - 3*t**2 + 5*t + 82. Let f(c) = 9*g(c) + 16*x(c). Let r = 5 - 1. Calculate f(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nny when three letters picked without replacement from {y: 1, o: 2, n: 4, v: 3}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2719956287 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = g**3 - 13*g + 257. Calculate the remainder when 1028 is divided by j(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 10312111 - -2?\nAnswer: 10312113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 317367475 divided by -12694699.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 3.911 or 601?\nAnswer: 601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 167632?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 44*d**4 + 20*d**3 - 112*d - 77. Let o(s) = -45*s**4 - 21*s**3 + 113*s + 87. Let c(t) = -8*g(t) - 7*o(t). Find the second derivative of c(p) wrt p.\nAnswer: -444*p**2 - 78*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-6 - (5 - (10 + -2))) + 16 + 7?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) be the second derivative of h**4\/12 - 5*h**3\/6 - 5*h**2\/2 - 5*h. Let y(f) = -f**3 - 4*f**2 - 2*f - 1. Let k be y(-4). What is the units digit of u(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -81\/3242 and 73\/14.\nAnswer: 22694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 4272417.039 take away 4022?\nAnswer: 4268395.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = v**2 - 4*v - 4. Let t be a(-4). Let c be 2\/t*(5 + -7). What is the second biggest value in -0.2, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.206684134 to 3 decimal places.\nAnswer: -0.207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 26\/(-91)*(-21)\/27?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 - 64 = -2*z. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8900019 = -q + 2*t - 5*t, 5*q + 4*t = 44500084. Suppose -2*o - 4*c = q, 3*o = -c - 6391453 - 6958551. What is o rounded to the nearest 100000?\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 914*u**3 + 53*u - 185. What is the units digit of t(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 u and 1 n when three letters picked without replacement from {z: 1, u: 1, n: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Product of 39496 and 9.9.\nAnswer: 391010.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-96 - 197 - 32)*(-2*o + 0*o + 3*o + 1).\nAnswer: -325*o - 325","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -81454 = -22339*a + 4538*a + 470377 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0, 9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-9)\/12 - ((-5243)\/4 + 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 13947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/m**(-2\/7))**(12\/7)*(m\/(m\/(m\/m**(1\/11)*m)))\/(m\/((m*m**5)\/m)))\/(m**(-5\/3)\/(m\/(m\/(m*m**(-5\/4)\/m)*m)))**(1\/54) assuming m is positive.\nAnswer: m**(2829931\/349272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in 319, 353, 387, 421, 455, 489?\nAnswer: 523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 3*s + 2. Suppose -95*r + 113*r - 72 = 0. Let n(b) = -b + 1. Determine r*n(k) + p(k).\nAnswer: -k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3.1 + 0.9. Let g = 1 + -2. Suppose -11*i = -5*i. Which is the biggest value? (a) g (b) p (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 3 (b) -34200.6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = h**3 - h**2 - 3*h - 2. Determine j(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (88\/(-121))\/2 + 7\/(-2772)*-78\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1121 + 5?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2*q*u**2 - 1733390*q*u - 518960026*q - 5*u**3 wrt u.\nAnswer: -4*q*u - 1733390*q - 15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = s**5 + s**2 + s - 1. Let t(g) = 9*g**5 - 4*g**3 + 5*g**2 + 5*g - 5. Let f(q) = 5*b(q) - t(q). Find a such that f(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 381393353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*y = -24*y + 52*y - 1056 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = b + 4*b + 5*s - 20, 0 = -5*s + 5. Solve -t**4 + 9*t**4 + 606*t**3 - 3*t**4 - 601*t**b = 0 for t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 742903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: (1 + 0)\/(-9*(-4)\/(-288))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -145*r**3 + 697*r wrt r?\nAnswer: -870*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 29*f**2 - 23*f - 39. Let y be b(-1). Solve 2*u - 3*h + 14 = 0, u + y = -0*h + 3*h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -577.5, -23, 1\/2, 5 in ascending order.\nAnswer: -577.5, -23, -3, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2002202 - 11?\nAnswer: 2002131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n**5 - 5923*n**4 - 71433*n**3 + 1264327*n**2 - 1020424*n - 2350260 = 0. What is n?\nAnswer: -22, -1, 2, 9, 5935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand ((g - 5*g + 2*g)*(4*g**3 - 2*g**3 + 0*g**3) + 405*g**4 - 180*g**4 - 147*g**4)*((2 + 2 - 3)*(3 + 0 - 5) + 1 - 2 - 1 - 2 + 3 + 0).\nAnswer: -222*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 26 = -2*u, -v + 3*u = v - 3. Let z = 53 - v. What is the remainder when 85 is divided by z?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u = -3 + 4. Let k(d) = 0*d - 4*d**3 - 1 - 4*d + 2*d. Let o be k(u). Solve o*l + 9 = q, -5*q + 2*l + 3 = -2*l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((15\/3)\/(-5))\/(1\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 208 and 622441144?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -b + 15. Let a be j(6). Suppose -6*d = -a*d. Suppose -2*z + 26 = -5*k, -3*z + 0*k - k + 56 = d. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2190447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 20 divided by 10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 4, c: 3, a: 8, i: 2}. Give prob of sequence caa.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -4094*n + 31673 + 62508 = -8248 - 20391 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v be (6\/4)\/((-57)\/95). Is -6\/11 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -176*w**2 - 27*w - 2. Calculate p(-1).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence le when two letters picked without replacement from {l: 1, e: 1, s: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-6)\/(-12))\/(35\/(-14))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 467 minutes before 11:43 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 4 (base 8) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = 47*q**2 + 49*q + 949. Is b(-27) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -113*j**3 - 183*j**3 - 5459 + 5465 + 9*j**3 + j to t*j**2 + k + q*j**3 + v*j and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = x**3 - 7*x**2 - 12*x - 9. Determine d(10).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q be 12\/(171\/12 - 8 - 7). Let f(h) = -2*h**2 - 30*h + 27. Calculate f(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 16 - 12. Suppose u*l - 5 = -4*n - n, 5*n = -3*l. List the prime factors of ((-69)\/(-6) - n)*2.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -ec87e (base 16) to base 8\nAnswer: -3544176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 337 and 210825515.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r be (5\/2)\/((-2)\/(-4)). Suppose -4*l + 33 + 15 = 0. Solve 0 = r*j - j + l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 735945?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 112171 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:21 AM and 1:06 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 8\/20 + (-13)\/45 + (-131901548)\/(-1251) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) be the second derivative of 17*r**5\/20 - r**4\/6 + 4*r**3\/3 + r**2 + 10*r + 3. Let q(p) = -11*p**3 + p**2 - 5*p - 1. Calculate -5*o(v) - 8*q(v).\nAnswer: 3*v**3 + 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y, 1 p, and 2 b when four letters picked without replacement from {x: 3, b: 2, n: 1, g: 2, y: 1, p: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) be the third derivative of -v**7\/1260 + v**6\/180 - v**5\/60 - v**4\/24 - 3*v**2. Let r(b) be the second derivative of u(b). What is d in r(d) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -25*m**5 + 16*m**3 - 432*m + 2.\nAnswer: -500*m**3 + 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -104302536, -104302545, -104302560, -104302581, -104302608, -104302641, -104302680?\n\"Answer: -3*f**2 - 104302533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 4 - -14423234111?\nAnswer: 14423234115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -151\/406692 and -55\/2548.\nAnswer: 19927908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bc when two letters picked without replacement from cyccb.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -6\/5 (b) 167\/6 (c) 2 (d) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*d - 36*d + 14*d - 2*a + 12 = 0, 3*d = -5*a + 8 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 42, 2839, -10\/11?\nAnswer: 2839","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-4)\/(-18) + 2\/72. Let b = -11 - -11.4. What is the third smallest value in k, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -2*-6*(-7)\/126\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 53*j - 77*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -57 = 4*w - 5*j, -5*w - 131 + 116 = 5*j for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: What is 0.3 plus -144518.982?\nAnswer: -144518.682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = 8 + -29. Let x = m - -58. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 358181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -659 greater than 255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-72)\/(-45))\/((-784)\/9240) + (-12)\/(-14)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*j - 314815 = 20*j - 5*k, 4*j = -3*k - 251824. What is the thousands digit of (-3)\/4 - (5 - j\/(-52))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) be the third derivative of 1\/15*m**5 + 0 + 0*m - 1\/6*m**4 - 45*m**2 - 4\/3*m**3. Factor d(x).\nAnswer: 4*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 376 minutes before 6:15 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 8 + 5112291?\nAnswer: 5112299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(288)*-2)\/sqrt(6))\/sqrt(12))\/(sqrt(450)*-1).\nAnswer: 2*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 12433053?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -349*w**2 - 3144*w**2 - 2233*w**2. Let f(v) = v**2. Give f(r(t)).\nAnswer: 32787076*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 141450*n**2 + 14*n. Let o(p) = 105*p. What is o(s(b))?\nAnswer: 14852250*b**2 + 1470*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -c**3 + c**2 + 5*c + 5. Let q be u(-5). Calculate the greatest common factor of q and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in sixty-three eighths of a litre?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3\/(-5))\/(33\/(-55)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 22*r**3 + 620*r**2 - 27*r - 620*r**2 wrt r.\nAnswer: 132*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 540*q**5\/13 + 3582*q**4 + 699204*q**3\/13 + 222760*q**2\/13 - 77696*q\/13 - 25326\/13 = 0. What is q?\nAnswer: -67, -189\/10, -1\/3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1305 + (1 - (-1 - -2)). Let v be 21\/15 + 1931733\/1480. Let m = v - f. Calculate the common denominator of 57\/20 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 1350146, 1350143, 1350140, 1350137, 1350134, 1350131?\n\"Answer: -3*p + 1350149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put 768, 0.2, 1, -1.27 in increasing order.\nAnswer: -1.27, 0.2, 1, 768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 202 minutes after 4:25 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3 + -12. Calculate the remainder when 57 is divided by 6\/(3\/(s\/(-2))).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 17354191 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = k**2 + 29*k + 302. Give m(-19).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = n**3 + 5*n**2 + n - 5. Suppose -3 = r + 1. List the prime factors of a(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -822.2*3.8.\nAnswer: -3124.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 4*l - 87 = 0, -4*c + 10*l - 5*l + 66 = 0. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-19*j + 18*j - 68*j)*(-2*j + 2 - 2).\nAnswer: 138*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = 3*v + 13. Let t(k) = -6*k - 1. Let c(m) = 0 - 10*m + 3 + 27*m. Calculate v*t(s) - 4*c(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = -5 - -4.9. Let m = -1.2 + 1.2. Let o be (-3)\/(((-3)\/4)\/(-1)). Which is the nearest to r? (a) o (b) 1\/6 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5\/4851 at most as big as -2.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - 1360 = -5*t, 0 = -d + 9*t - 6*t + 256. What are the prime factors of d?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -32*j - 13 = 32*j - 461 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 7 - 815?\nAnswer: -807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = -2*a + a - 3, 4*a = 4*z. Let q be 3 + 1*(5 + -3). Let u be a*3\/3 - q. Sort u, 5, -0.5.\nAnswer: u, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 9296 and 6972?\nAnswer: 27888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x be (5\/5 - -100)*1. Suppose x = 60*l - 59*l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 0*i**2 + 2*i - 3*i**2 - 1 - i**2. Let s be a(1). Let n = s - -11. Solve 0 = o + o - n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -45923095880 rounded to the nearest 1000000?\nAnswer: -45923000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 761 divide 244604425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -v**2 - 6*v - 4. Let x be c(-3). Let b = 7.6 + -8.21. Let d = b + 0.41. Put d, x, 1\/2 in decreasing order.\nAnswer: x, 1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-4)\/18 + 12\/54)\/(-3). Suppose t*f = -3*f + 5*k + 10, 4*k + 8 = -2*f. Solve v + v = f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -93\/268 and (34\/(-10) + 4)*126\/24?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) be the third derivative of -h**6\/120 - 7*h**5\/60 - 7*h**4\/24 + 5*h**2. What is b(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 18*a**3 - 14*a**2 + 2*a + 1. Let g(l) = -2*l**3 + 3*l**2 - l. Let h(w) = -b(w) - 6*g(w). Let p(r) = -r**3 - r**2 + r. Give h(n) - 4*p(n).\nAnswer: -2*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -15\/28 and 6810\/(-5901) - -1 - (897\/91 - 10).\nAnswer: 7868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine s so that -s**4 - 8822*s**3 - 404225*s**2 - 4642504*s = 0.\nAnswer: -8776, -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*r + 67*r + 28*r + 303 = 0. What is the closest to 2 in r, 2, -1\/4, -6\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -15574, -15575, -15576, -15577?\n\"Answer: -l - 15573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 24375379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 1271, -63, -2275, -5365?\n\"Answer: -439*m**2 - 17*m + 1727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.3 in 4, 1, 2\/15, -1\/4, -31?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -21422 divided by 4?\nAnswer: -10711\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -394*k**3 - 178*k**3 - 19*k**3.\nAnswer: -591*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round 0.001413 to 5 dps.\nAnswer: 0.00141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n = 5*n - 1680. Let m = n + -142. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -c**3 + c**2 - 2*c - 22. Let a be f(0). Is a > -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 56\/69 and 71\/174?\nAnswer: 4002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h - 11 = -2*w, 3*w - 14 = h - 0*h. Calculate the highest common factor of w and 1527.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (34*x - 1182 + 1182)*(1 + 5 - 5)*(6*x**3 - 6*x**3 - 4*x**4) + 0 + x**5 + 0.\nAnswer: -135*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-9)\/(-2) + -9)\/(1\/2). Is -43\/5 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -79\/21432 and -7\/684.\nAnswer: 64296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 55323297?\nAnswer: 3, 59, 34729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (2*i - 3*i + 2*i)*(4 - 1 + 0)*(-3*i - i + 7*i) as z + c*i**2 + h*i and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-4)\/14 + (-50)\/70. Let d be ((-1)\/(-3))\/(o\/(-15)). Solve -3*m + w = 6*w - 2, 3 = -d*m - 2*w for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 132*k**2 - 101*k - 2. Give t(1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2 or 4547\/5?\nAnswer: 4547\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -11097 divided by 6\nAnswer: -3699\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (2706\/(-3157))\/((-3)\/14)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 185511 is divided by 18534?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 5459 divide 69121858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = -143843\/1210 + 19\/242. Is -119 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = 8*t - 18. Let d(g) = 4*g - 9. Let z(b) = -5*d(b) + 2*w(b). Is z(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 0 (b) -80 (c) 11213\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-108)\/(-9))\/((-2)\/(-10)). Suppose x = 5*h - 70. Let g = -4 + h. What is the remainder when 85 is divided by g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 502777163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -6*r**3 - 4. Let w be g(-2). Let d(y) = -y**3 - 4*y**2 - 6*y - 2. Let k be d(-4). Calculate the greatest common factor of w and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -575151.483 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*(sqrt(48) + 4) + 5)*4)**2.\nAnswer: 10752*sqrt(3) + 19344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 7891, 8985, 10077, 11167, 12255, 13341?\nAnswer: 14425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand f**2 + 3 - 5 + 1 - 2*f + f**2 + 2*f + (-3*f**2 - f + f)*(-2 + 8 - 2).\nAnswer: -10*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3.0009 + -2.7009. Let l = 94.3 - 15.3. Let g = l + -78.51. Which is the third smallest value? (a) g (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 divided by -32682130.\nAnswer: -7\/32682130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -5, 3, 1\/4, 103, 0, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*((sqrt(459) - sqrt(459)*1) + sqrt(459))*-2)\/(-1*1*sqrt(147)*3).\nAnswer: -8*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -58.084 + 0.084. Let t = -61 - k. Which is the closest to t? (a) -0.4 (b) 0 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 255 minutes after 1:38 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) be the third derivative of -7*p**4\/24 - 2*p**3\/3 - 5*p**2. What is the first derivative of z(a) wrt a?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z - x + 2567 = 0, -x = -39*z + 40*z - 1284. List the prime factors of z.\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7*(-5)\/420 - (8 + (-905)\/60).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 373990461.\nAnswer: 3, 13, 73, 131363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 0.565 * -0.09\nAnswer: -0.05085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -40, -34, -26, -16?\n\"Answer: g**2 + 3*g - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -30, -71, -132, -213, -314?\n\"Answer: -10*z**2 - 11*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -2*d**2 - 9*d. What is t(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 416\/51 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*p = 5*p - 50 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 20, 131, 426, 995, 1928, 3315, 5246?\nAnswer: 7811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 0 = -10. Suppose -r = 3*r - 5*o - 91, a*o + 53 = 2*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 4\/28 + (-19)\/14*-8. Suppose 21 = g*s - 12. Calculate the remainder when 94 is divided by (1 - -1*20) + 9\/s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -2*n**2 + 167*n - 1328. Give g(73).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -188*r**2 + 2*r**4 + 68*r**3 + 114*r**2 + 0 - 148*r**2 + 0.\nAnswer: 2*r**2*(r - 3)*(r + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -13*x**2 + 252*x*z - x - 2*z + 867 wrt x?\nAnswer: -26*x + 252*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 2432303 + -22?\nAnswer: 2432231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = -27 + 25. Let t = 2 - y. Find the second derivative of d - 12*d - 9*d**5 + t*d**5 wrt d.\nAnswer: -100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.78 + 0.02. Let z = 1.2 + q. Which is the second smallest value? (a) z (b) 2\/7 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1060 - 608. Suppose 4*f - b = -4*w, 0*f + f = -2*w + 117. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2542000.\nAnswer: 2, 5, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = -4*p + 99. Suppose -10 - 26 = -4*y. What is the highest common factor of p and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(3) + (sqrt(12)\/sqrt(4) - sqrt(3))*-6 - sqrt(3) - sqrt(12)\/(sqrt(4)*3).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33*q = -31*q + 10. Let u be (-5)\/q*(1 + 2). What is the second derivative of -4*a**3 - 4*a**u - 2*a + 9*a**3 wrt a?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 89*d + 648 = 47*d - 822 for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) be the third derivative of 0*o + 1\/24*o**4 + 0 - 1\/3*o**3 + 0*o**5 - 1\/120*o**6 - 2*o**2. Calculate r(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-27 - 3) + (-11 - -1) + (-8 - (-16 + 5))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 17533.761 hours in days?\nAnswer: 730.573375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2811648689?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -478*d**4 + 519*d**4 - 3*d**2 + 2*d**2 + (45*d**2 + 7*d**4 - 45*d**2)*(-3 + 4 - 2) to the form q*d**3 + z*d**2 + r + o*d + y*d**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4*-0.0213378.\nAnswer: 0.00853512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -223*l**3 - 222*l**2?\nAnswer: -1338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-75)\/(-120))\/((-60)\/(-64))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4324 + -320121?\nAnswer: -312464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:58 PM and 11:34 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) be the second derivative of r**3\/2 - 3*r**2\/2 - 265*r. Let l(j) = -10*j + 8. Let c = 3 + 0. Determine c*l(x) + 8*y(x).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 537, 538, 539?\n\"Answer: q + 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t = -79*l + 81*l - 4, -2*l = -t + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 93030.\nAnswer: 2, 3, 5, 7, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -19 = z + 4*o, 5*o + 361 - 336 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2419 is divided by 47?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 176 minutes after 6:12 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 817201234?\nAnswer: 2, 83, 1201, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 93160 rounded to the nearest 1000?\nAnswer: 93000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -8*n**2 - n**3 + 2*n + 30 + n**3 - n**3 - 34. Let q be w(-9). Let d = q + 494. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 882 is divided by 221.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 119*n - 127. Let q(m) = 120*m - 126. Let t(u) = -3*b(u) + 2*q(u). Differentiate t(l) wrt l.\nAnswer: -117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 15 - 20 - 27 - 3*p + 103 + 62. Let h be y(44). Which is the nearest to 1? (a) -8 (b) 5 (c) h (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -529, 1169, 2889, 4631, 6395?\n\"Answer: 11*c**2 + 1665*c - 2205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 10*n + 53 - 33 - 31 + 6*n. Let t be g(1). Solve 39 = t*y + 14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 1277 (c) 4 (d) -2\/9 (e) -3 (f) 1 (g) -28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = 32*s**2. Let z(y) be the third derivative of y**5\/15 + 131*y**2. Give r(z(o)).\nAnswer: 512*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d = -12599 + 12597. Let x(b) = 7*b**2 + 13*b - 4. What is x(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z - w - 45 = 0, z - 3*z - 39 = 3*w. Let q = z + 35. Solve q - 1 = -5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1\/175 - 1504\/175. Calculate the common denominator of -17\/3 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*d**2 - 5*d**2 - 16*d - 129*d - 6*d in the form x + n*d**2 + h*d and give h.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 + -2 - -14 - 8\/(128\/(-208)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 20760 + -20764. What is the fourth smallest value in z, -30, 2, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12047 is divided by 1101.\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from haahahahhhahhhhh.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = -16 + 9. Let y = -1.152 - -0.138. Let n = -0.014 - y. Put n, l, 4 in ascending order.\nAnswer: l, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*j + 2*j + 6*j)*((-2*j**4 + j**2 - j**2)*(2 - 6 + 2) + (43*j**3 - 25*j**3 - 13*j**3)*(4*j - 3*j - 3*j)).\nAnswer: -36*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out -1280 * -0.82.\nAnswer: 1049.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + x = -2329, 5*z + 6*x = 7*x + 2910. Suppose 0 = o - 4*u - z - 1192, 5*u = -o + 1737. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -32, -133, -308, -563, -904, -1337, -1868?\nAnswer: -2503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 13613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = 8330 + -4006. List the prime factors of k.\nAnswer: 2, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 836*s - 20. Is 21 a factor of n(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -214174, -856598, -1927306, -3426298?\nAnswer: -5353574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 18 and 38877?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 338427 and 11491962.\nAnswer: 3639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 317353147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1141822944967 take away 0.2?\nAnswer: -0.0858177055033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*t - 5*z - 52, -2*t - 3*z + 26 = 2*z. What is the remainder when t is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 23494269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 181.9523mm to micrometers.\nAnswer: 181952.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -x + 0*x + 2*x + (0*x + x + 0*x)*(-1 - 3 + 1) + x + 5 - 5 + (-2*x + 6*x - 2*x)*(7 - 3 - 3) - 2*x + 4*x - 3*x - 1 + 3 - 14*x + 13*x.\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = 558 - 1672\/3. Let j = 4\/23 - 106\/345. Put z, 3, j, -113 in descending order.\nAnswer: 3, z, j, -113","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 3*j**2. Let k(n) = -3328968*n**2. Calculate k(a(m)).\nAnswer: -29960712*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qq when two letters picked without replacement from {h: 2, q: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3277?\nAnswer: 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = 8 + -8. Let s(q) = -8*q**3 - 5*q**2 + 4*q - 5. Let x(a) = a**3 + a**2. Let f(l) = -s(l) - 6*x(l). Let g be f(2). Solve g = 3*y - v*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 44245, 177109, 398547, 708559, 1107145, 1594305, 2170039?\nAnswer: 2834347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h = -t + 1037, -937 = -t - 3*h + 99. What are the prime factors of t?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (80*(-5)\/(-240))\/(-5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1586 and 74664.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -21*t**3 - 6*t**2 - t + 7*t**2 - t**2 wrt t.\nAnswer: -126*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*r + 5*d + 17, -5*d = 6*r - 5*r + 19. Let p(l) = -19*l**2 + l. What is p(r)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 3330022 (base 4) to base 13\nAnswer: 7465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 23735 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l = -l - 10. Let n(g) = 7*g - 1. Let t be n(-2). Let w be (-4)\/6 - l\/t. Which is greater: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 (base 6) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = b**2 + b - 1. Let w be (-4)\/(-3 - -1) + 0. What is the units digit of p(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-8 - -5 - -8) + 15\/(-105)*17. Factor 0*w + x*w**4 + 0*w**2 - 3\/7*w**5 + 0*w**3 + 0.\nAnswer: -3*w**4*(w - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -790600*i**2 + 157940*i + 36.\nAnswer: -4*(5*i - 1)*(39530*i + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1011111 - -11?\nAnswer: 1011122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 1\/193 (b) -4 (c) 479 (d) 26 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 3*a = -2*f, -5*f = 3*a. Which is smaller: f or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*m - 13*m - 16 = 0. Suppose -13*w + 11*w = m*u - 118, u - 4*w - 34 = 0. Let v = 116 - 32. Calculate the remainder when v is divided by u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -142*v - 25 + 1868 = -161*v for v.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -77, 3, 1, 2 in ascending order.\nAnswer: -77, -5, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*i + 35784 = -148*i. Is i at most -257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.74 - 183059996461.\nAnswer: -183059996461.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 7193699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 55 a factor of 1265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 296 minutes after 3:50 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 200226 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 - z**2)*(-2 + 4 - 4) - z**2 + 2*z**2 + 0*z**2 + (-2*z**2 - z + z)*(-3 - 3 + 4) + (2 - 2 + 2*z**2)*(1 - 3 - 3).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) be the second derivative of -a**7\/28 + 4*a**6\/9 - 199*a**5\/120 + 2*a**4\/3 + 52*a**3\/9 - 32*a**2\/3 + a + 14. What is y in l(y) = 0?\nAnswer: -1, 8\/9, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 11 or 672280?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Let m = 15.12 + -0.12. Let b = -772842022.99999978 - -772842008. Let a = b + m. What is a rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 10\/(-9) + (-53)\/(-477). Put -18, q, 0, -4, -5 in decreasing order.\nAnswer: 0, q, -4, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*u - 3*f - 20607 + 20564, -3*u - 2*f = 25 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 93962*c - 81*c**2 - 14*c**3 - 6*c**3 + 81*c**2 - 93970*c.\nAnswer: -20*c**3 - 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -277*m - 224*m + 953*m - 279*m - 283*m. Let w(y) = -2*y. What is w(o(l))?\nAnswer: 220*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 32161226 to the power of 1\/3, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 969008.1 months in centuries?\nAnswer: 807.50675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/((q\/(q*q**(1\/6)))\/q)*q\/((q**(-1\/9)*q*q)\/q)*q**(-3)\/q**(4\/9))\/((q\/q**(-9))\/(q*q*q\/q**(-1\/16)))**(-3\/7) assuming q is positive.\nAnswer: q**(607\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n be (54\/5)\/((-21)\/(-140)). Calculate the highest common divisor of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 5 + 0. Solve t - 3*t - 2 = p, -2 = i*p + 2*t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 324063588 and 2292.\nAnswer: 324063588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d = -6644 + 6657. Solve d = 15*u - 122 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -132, -111, 1 in descending order.\nAnswer: 3, 1, -111, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -398 = -3*v + 2*b, 5*v - 3*v - 2*b - 264 = 0. Calculate the smallest common multiple of v and 8.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Subtract 619878691567 from -3.62.\nAnswer: -619878691570.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 297*g**4 + 4*g**3 + g**2 + 3*g - 2. Let u(v) = -297*v**4 - 6*v**3 - 5*v + 3. Let c(h) = -2*u(h) - 3*y(h). What is the third derivative of c(a) wrt a?\nAnswer: -7128*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*b + 7 = -3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 + 12 = -3*w. Let d(k) = -k - 1. Let n be d(w). Suppose 5*i - 53 = n*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/((g*g\/g**(-3\/7)*g)\/g))\/g**(2\/13))**8*((g**(-1\/3))**49)**(-1) assuming g is positive.\nAnswer: g**(1003\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -h**2 + h + 4. Let f be w(0). Suppose -5*s + f*s = -9. Let y = s - -52. List the prime factors of y.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-1 - -76)*(-1530)\/(-225) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 4, -2, -7, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 75818443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 14 (base 14) in base 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 190 and 475?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 648208 is divided by 216068?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 4581, 4681, 4781, 4881, 4981, 5081?\n\"Answer: 100*q + 4481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Determine d, given that -2*d**4\/23 + 34692240*d**3\/23 - 150443835450444*d**2\/23 - 902663949393360*d\/23 - 1353996392435442\/23 = 0.\nAnswer: -3, 8673063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -a + 2*a. Suppose 9*z - 4*z - 4240 = -5*o, 5*z - 6*o = 4262. Suppose -79 = 5*l - t - 1136, 4*l - 3*t - z = a. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -205, -204, -203, -202, -201?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -i = -5, 2*h + 1604*i - 1608*i = -18 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 27538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 19*k - 3. Let p be j(3). Let q = p - 33. Let g = q + -8. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1458\/(-1944))\/(27\/1008)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 17 = 14. Solve -5*w + 3*t = -29, w - p*t - 25 = -3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 0*r**2 - 2*r**2 + 9*r + 3*r**2 + 3 + 7*r**3. Let h(f) = 15*f**3 + 3*f**2 + 19*f + 7. Let g(a) = 6*h(a) - 13*x(a). What is g(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(189)*1 + sqrt(189))\/sqrt(3))\/(-2*sqrt(900)) + 2*(-5 + (sqrt(847) + 2 + sqrt(847) + sqrt(847))**2).\nAnswer: 2639*sqrt(7)\/10 + 15244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 38211*r + 38460*r - 77100*r.\nAnswer: -429*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 - 50 = -8*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 7.2 + -8. Let g = n - 0.2. Let l = -105\/52 + 10\/13. Which is the third smallest value? (a) -2\/5 (b) g (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(4 + sqrt(192) + sqrt(192) + 1) + 6*(sqrt(192) - -2*sqrt(192)) + sqrt(192)*-2*2 + sqrt(192) + 0)**2.\nAnswer: 5040*sqrt(3) + 84897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 3028*a*k**2*r + 3*a*k**2 - 53*a + 5*k**2 + 2 wrt r?\nAnswer: 3028*a*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -3*c**2 - 11*c - 7. Let j(k) = -k - 1. Calculate -h(t) + 6*j(t).\nAnswer: 3*t**2 + 5*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 399833?\nAnswer: 7, 57119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 17009303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 135376?\nAnswer: 2, 8461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -x - 2. Let v(z) = -z - 1. Give 4*d(b) - 7*v(b).\nAnswer: 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*w + 51 + 65. Let y = -11140 - -11158. Calculate the remainder when w is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 110 and 10103962?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -d**3 - 22*d**2 + 269*d + 4288. Give m(-26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4874 is divided by 4840?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {p: 3, x: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 85 = 5*s - 225. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 9 = 5*j, -m - 4*j - 2 = -12. Suppose m*d - 4800 = 9*d. What is d rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31223947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -1.6103 minus -0.2?\nAnswer: -1.4103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 0, -5, -6, 3 in descending order.\nAnswer: 3, 0, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 60*t - 3. Let j(q) be the third derivative of q**5\/20 - 75*q**2 + 3. What is a(j(o))?\nAnswer: 180*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.01 + 0.8028183715.\nAnswer: 0.7928183715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c = 4*c - 4*t - 8, 4*c - t = 19. Suppose -c*a - 4 = -5*a. Calculate the remainder when 5 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4745817.\nAnswer: 3, 137, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose f + 30 - 81 = 0. List the prime factors of f.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*s - 2*s + s)*(15*s**2 - 8 - 872938*s + 872938*s).\nAnswer: 45*s**3 - 24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43*r - 1005 + 575 = 0. Suppose 3*d = 2*z + 597, -d + 2*z = -221 + 18. Calculate the smallest common multiple of r and d.\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = 4*u + 36. Let g = 0 - u. What is the second derivative of -5*k - 4*k**5 - 4*k + g*k**5 + 3*k**5 wrt k?\nAnswer: 280*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -5 by -27082.\nAnswer: 5\/27082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 74 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g - u + 6*u + 11 = 0, -3*u + 23 = 5*g. Suppose 9*l = g*l + 285. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hsuhghchhscc. What is prob of sequence ug?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = 99.11 - 95. Let m = q + -4.1099589. What is m rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -209, -215, -223, -233, -245?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 243292 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -22*o**2 + 22*o**2 - 12*o - 4*o + 3*o**2 - 5*o - 5*o**2.\nAnswer: -2*o**2 - 21*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 3 less than 79\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hg when two letters picked without replacement from {h: 3, w: 1, g: 5}.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 605 minutes before 12:47 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 81257 is divided by 6172?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = 26*z**2 - 31*z + 3. Let s(n) = 52*n**2 - 62*n + 7. Let g(m) = -7*r(m) + 3*s(m). What is the second derivative of g(t) wrt t?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = h**2 + h - 1. Let a be m(0). Let f = a - -11. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 8 = -2*u + u, 3*f - 8 = -u. Solve x = 4*j - u, 3 = 5*x + 23 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 191484 and 12042.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find x such that -3*x**2 - 10362*x - 8947587 = 0.\nAnswer: -1727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-9)*p*p**(-9\/2)\/p)\/((p**(-3\/4)\/p*p*p*p)\/p*p**(1\/27)) assuming p is positive.\nAnswer: p**(-1489\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -291, -284, -277, -270, -263?\n\"Answer: 7*r - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14133*a - 304 + 110 - 14132*a.\nAnswer: a - 194","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 26.34841 and -1?\nAnswer: -26.34841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 11 - 1 = 5*i, -32 = -4*i - 2*y. Find the second derivative of 3*j + 6*j**2 - 3*j + 12*j - i*j wrt j.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -8717*h - 52300. Calculate t(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -344 + -1237135?\nAnswer: -1237501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 2287557 to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.16 and -3.56263624.\nAnswer: -3.72263624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 13\/4? (a) 4\/7 (b) 1729 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -1.685 at least -137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -3*w + 18. Let k(z) be the second derivative of 0*z**2 - 1\/6*z**3 + 0 - 111*z. Give d(k(y)).\nAnswer: 3*y + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + sqrt(28)\/sqrt(4) + 0.\nAnswer: -3 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -25 or -21263\/854?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 - ((11 - 1) + (28 - 38)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1062740.\nAnswer: 2, 5, 7, 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 45 and 1182.\nAnswer: 17730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -171820203*o**3 + 21*o**2 + 420733.\nAnswer: -1030921218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + 2*n = 27, 5*u = 7*u - n - 69. Let m(r) = 13*r**2 + 98 - 27 - u - 33. Let g(k) = -2*k**2. Give m(g(f)).\nAnswer: 52*f**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -17*s**2 + 12*s - 12. Let o be m(1). Suppose 0 = -5*g - 20 - 70. Is g greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 4*o - 22. Suppose 32 = 4*k + 4. Let v be j(k). Solve z - 20 = v*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6448\/24180 + (-988)\/3930?\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2115250 - -15?\nAnswer: 2115265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -812934, -812858, -812782?\n\"Answer: 76*n - 813010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 30\/103, 3, 5\/4, 1\/119?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2460 is divided by 179.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 363364 and 22.\nAnswer: 3997004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) be the second derivative of -5*k**5 - 47*k**2\/2 + 124*k. Differentiate d(c) wrt c.\nAnswer: -300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 222 and 94707642.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1430154 a multiple of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 72134, 144263, 216404, 288557, 360722, 432899, 505088?\n\"Answer: 6*v**2 + 72111*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1365 + 2566. List the prime factors of a.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*d - 4 - 4. Solve -d*x + 0 - 8 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -97\/461274 and 151\/72732?\nAnswer: 17528412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 876 is divided by 132?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h = -5*q + 100, -2*q + 25 = -8*h + 9*h. Solve h*i = 22*i + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1*-2302884.\nAnswer: 230288.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (-12 - (-21 + -2)) + (-1 - 5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 184\/46*(-7)\/(-4)*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 17\/714 + 1\/7.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1\/(-1))\/((-1)\/7). Suppose f*w - 28 = 3*w. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1334 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = -2*d - 14, -2*n - 5*d = 34 - 5. Let a be -7 + 8 + (44\/(-16) - n). What is the second biggest value in 0.3, -12\/11, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-24)\/9 - -2)*-6. Suppose b = -x*b + 200. What is the highest common divisor of b and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from qgqqqgqggg.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v = 54 - 58. Let g(s) = 2*s - 12. Let o be g(9). Let b(p) = 5*p + 11 - o - 2*p. Calculate b(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = -u + 9. Let n be 5 + u + (-1 - 2). What is the common denominator of 130\/n + 7 + -8 and -16\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -33.9 + -5.1. Let t = y - -91. Let b = t + -51.08. What is b rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = k**2 + 4*k - 11. Give x(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 4*a - 3. Let m be o(-2). Let h be (m - 21)\/(-1 - 0). Suppose -99 = -12*f + 93. What is the highest common divisor of h and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*w + 237 = 228, 5*o + 2*w = -31 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = w**3 + 5*w**2 + 6*w + 1. Let r be b(-3). Let d(m) = -m**3 + 60. Calculate the remainder when d(0) is divided by r\/6 - 740\/(-24).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 158195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 a when four letters picked without replacement from aoaaoaooooaooooo?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*j**4 - 646*j**3 + 7*j**2 + 646*j = 0. Calculate j.\nAnswer: -646\/7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*l + 9*l = 3*v, l = 3*v. Solve -4*h + 0*h + 4 = l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.05 and 850776.\nAnswer: -42538.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(1\/10))**(-28)*(r**7\/r)**31)**(-2\/9) assuming r is positive.\nAnswer: r**(-1832\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 86 + 14 + -79 - 82.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1593371 and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand 33 - 33 - 18*o**2 + (-4*o + o + 2*o)*(-3 + 3 + 2*o).\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 16635 + 11490 = -4856*c - 5867 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-4\/19)\/d*d**11)\/(d\/d**(-4\/11)*d)**(-20) assuming d is positive.\nAnswer: d**(11926\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that -2*u**2\/17 - 4023638*u\/17 - 48283368\/17 = 0.\nAnswer: -2011807, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4502806 and 2156.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-19)\/3 - -1)*(-1)\/(-4). Which is smaller: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.380815mm in micrometers?\nAnswer: 380.815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -36274, -145066, -326386, -580234, -906610?\n\"Answer: -36264*j**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-7)\/(-21))\/((-1)\/(-159)). Factor q*p**2 - 53*p**2 + 3*p**5.\nAnswer: 3*p**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -2 - -2 - (-1 - -21). Let i be 8\/20 - 212\/f. Suppose -q - i = -33. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/(455\/924)*((-340)\/16)\/(-17)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -3*s + 44. Let l be z(15). Which is the fourth smallest value? (a) l (b) 0.4 (c) -23 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -464 >= -493?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 52\/5 of a century in months?\nAnswer: 12480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 2*n = 4*m + 10, 2*n = -10. Suppose -5*f - 21 + 116 = m. Calculate the remainder when 74 is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 485 minutes before 7:36 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c be -5*(-2 - -1) - 0. Suppose h = -2*f - 3*f - 89, -2*h - 3*f = 178. Let u be 3\/6 - h\/2. Calculate the greatest common factor of u and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = q - 5*u - 94, 3*u + 0*u = -3. What is the remainder when 526 is divided by q?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 64 a factor of 2936882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4900 divided by -5.\nAnswer: -980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 1 v when two letters picked without replacement from oozzvvoovzvvo?\nAnswer: 25\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14043825 is divided by 1194.\nAnswer: 1191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/7 of a week in hours?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1)\/(-1 - (-45)\/44). Let u be (d\/(-10) - 2) + -2. Let w = 0.9 + -1.9. Put w, u, -4 in descending order.\nAnswer: u, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 37510369*c**3 + 74727095*c**2 wrt c?\nAnswer: 225062214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify u*u**(1\/9)\/u*(u*u**6\/u)\/u assuming u is positive.\nAnswer: u**(46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/(-1 - 1)*0. Suppose 0 = 5*n - s - 5. Solve n = -3*i - 4*k - 2, 3*k + 21 = 4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kvkvvvvuukk. Give prob of sequence kv.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 4, t: 1, k: 1, e: 1, v: 2}. What is prob of picking 2 n, 1 e, and 1 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-23)\/(-2))\/((-1)\/2). Let p = -13 - z. What is the remainder when 18 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 38278, 41144, 44008, 46870?\n\"Answer: -r**2 + 2869*r + 35410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 7*b**3*f - 28*b**3*m**2 + 2*b**2*f + 8*b*f*m + 2*m**2 wrt b.\nAnswer: 42*f - 168*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 616 is divided by 158?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*c + 4 - 14*c - 5.\nAnswer: -26*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-6)\/54*6)\/(16\/888)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = x**3 + x**2 - x + 24. Let a be c(0). Calculate the greatest common factor of a and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) be the first derivative of -11\/2*p**2 + 41 - 4*p - 1\/4*p**4 + 16\/3*p**3. List the prime factors of k(14).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*q**4 - 354*q**3 - 2607*q**2 - 2250*q.\nAnswer: 3*q*(q - 125)*(q + 1)*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -2*g**2 + 52. Let q(n) = 72*n - 4. Determine q(c(a)).\nAnswer: -144*a**2 + 3740","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = 3*r - 53. Let p be d(5). Let o(b) = 3*b + 155. Let q be o(p). What is the greatest common factor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 169738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 20*(-120)\/3200*-60.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.0419 + 1.9581. Let l = -5.05 - 0.25. Let y = l - -5. Put y, -4, p in descending order.\nAnswer: p, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 6 = 27. Suppose -q = 3*d - 6*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2218*z**4 - 2*z**3 + 2218*z**2 - 2*z wrt z?\nAnswer: 53232*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 4 (base 16) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 578617 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = n - j - 3, 3*n = -2*j + 155 - 146 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-5)\/10 + 2\/4. Which is bigger: o or -3\/59?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -6.1 (b) 2 (c) -18 (d) 0.5 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + -1 + 0 + sqrt(48) + (sqrt(3) - (sqrt(3) + sqrt(3) + 0 + -3)))**2 - (-5*(sqrt(27) + -4 - (4 + sqrt(12)\/sqrt(4) + sqrt(3) - sqrt(3))))**2*4.\nAnswer: -7524 + 3242*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:16 AM and 11:27 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 7702302 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = 68 - 112. Let c = o + 49. Suppose 4*r = -5*d + d + 356, 77 = r + c*d. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 35240.94 kilograms to tonnes.\nAnswer: 35.24094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*y + 3*y - 3*y)*(-130*y + 397*y + 593*y)*(4 - y**2 - 4) to v*y + u + h*y**3 + c*y**4 + n*y**2 and give c.\nAnswer: 1720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -10*h - 1. Let w(s) = -2*s. Let g(m) = -2*j(m) + 11*w(m). Let f be g(1). Are f and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in y**2 - 1501895208*y + 1501895208*y.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m be (4\/(-7))\/(6\/(-21)). Suppose -6*k - 90 = -9*k. Suppose -m*h = -h - k. What is the highest common factor of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve r + 5 = -p, 146*p - 141*p = 5*r + 15 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -4*x + 0*x + 2 + 5*x + 1. Let f be w(-3). Suppose f = -j - j + 166. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -3*v - 7*v**3 + 20 - 18*v + 6*v**3 + 22*v**2 - v. Let j be y(21). Let u(s) = 1 + s + 3 - 2*s**2 - 3. Calculate u(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -5*g**2 - 2*g - 4. Let m(v) = -2*v**2 - v - 2. Let s(z) = 3*h(z) - 7*m(z). Let k be s(2). Which is the closest to k? (a) -2\/3 (b) 3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36*n = -35649 - 69795. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 99 and 48576?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2049.\nAnswer: 3, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uu when two letters picked without replacement from {h: 7, u: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3 + 4. Let x = 2 + l. What is the derivative of 0*t**x - 1 + 3 + t**3 wrt t?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -35154 divided by 567?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) be the second derivative of -1 + 0*d**3 - d + 0*d**2 + 8\/3*d**4. Let t(p) = p**2. Give t(n(q)).\nAnswer: 1024*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = -12 + 7. Let v = 18\/13 - 233\/65. Let g = v + 13\/5. What is the third biggest value in n, 3, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 0.49, -2\/9, 1\/4, -17, -0.4?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:20 PM and 1:28 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k**5\/2 - 1227*k**4\/2 - 407963*k**3\/2 - 19012237*k**2\/2 - 18402744*k - 9099994 = 0. Calculate k.\nAnswer: -586, -53, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y + b = -2*y - 12, 3*b = 2*y + 12. Let g(r) = -5*r - 36. Let k be g(-7). Sort k, y, -4 in increasing order.\nAnswer: y, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*n + 6 + 10 + 12 = 0. Put -2, -3, n, 5, 31 in descending order.\nAnswer: 31, 5, n, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 56 and 146776.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = m**3 + 20*m**2 - 931*m + 156. Determine v(22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify x\/(x\/x**(-10\/7))*x**(3\/2)*x assuming x is positive.\nAnswer: x**(15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*m - 6*m = 28. Let t be (2\/6)\/(3\/36). Suppose -2*p + m = 3*g, -g = -p - 8 + t. What is the highest common divisor of 9 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -77 - 14. Let t = u - -233. What are the prime factors of t?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -78*y + 73536 = -94*y. Round y to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8668.\nAnswer: 2, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -5050 (c) 21 (d) 0.03 (e) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v**(-16))\/(v**(-12)*v*v))\/((v*v\/v**(-14)*v*v*v*v*v)\/v*((v*v*v\/(v*v**5)*v*v)\/v)\/v*v) assuming v is positive.\nAnswer: v**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find a, given that 3*a**5\/5 + 6*a**4\/5 - 144*a**3\/5 + 378*a**2\/5 - 243*a\/5 = 0.\nAnswer: -9, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = a**2 + 3*a + 11. Let p be q(-15). Suppose -12812 = -p*t + 187*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5)\/((-160)\/12) - (-657)\/(-216).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 3*f + 0 - 4*f + 0*f - 1. Calculate o(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g + 4*p = 2*p + 144435, -4*p - 144465 = -5*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*b = 40 + 8. Let t be (-140000 + 0)\/(b\/(3 - -567)). Round t to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -35 - -56. Let w be 3\/(-9) + 6097\/t. Suppose 367 = 3*n + 4*j, j = -2*n - 47 + w. Calculate the greatest common divisor of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 15 + 47 = 5*m, 0 = -2*m + 4*q + 24. Let k(b) = -b**3 + 4*b**2 - b + 5. Calculate k(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 1, m: 1, p: 2, y: 1, a: 1, w: 1}. Give prob of sequence yo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 1 bigger than 1\/21543339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3263412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w - 11 - 9 = 0. Let d be (1\/w)\/((-10)\/(-8)). Let k = -1 - 0. What is the nearest to d in k, 1\/5, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -366906 divided by -1?\nAnswer: 366906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*h**2\/13 + 578*h\/13 + 3540\/13.\nAnswer: -2*(h - 295)*(h + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a + 46 = -2*h + 141, 43 = h + a. Let z be 64 - (-25)\/(225\/(-72)). Calculate the greatest common factor of h and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -40*d**3 + 0*d**2 - d**4 + 26*d**3 - 2*d**2 + 0*d**4 to c*d + g + t*d**2 + v*d**4 + f*d**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put -492\/5, -0.04, -4, 6\/5 in decreasing order.\nAnswer: 6\/5, -0.04, -4, -492\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 2305.411 != 93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 187\/15480 and 29\/1407132.\nAnswer: 14071320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 66 is divided by ((-68)\/16)\/((-1)\/4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 4 (c) -1 (d) 6\/5 (e) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*g + 2\/5*g**3 + 0 - 102\/5*g**2.\nAnswer: 2*g**2*(g - 51)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 102 and 1356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) be the second derivative of 0 + 49\/18*p**3 - 65*p - 2\/3*p**2 - 5\/4*p**4. Factor x(z).\nAnswer: -(z - 1)*(45*z - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 75, 294, 657, 1164?\nAnswer: 1815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -14, 21\/4, -2\/7?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1216297632 and 1056.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 20 + -13. Suppose 2 = 2*n, -n - 1 + 2 = -2*h. Suppose 3*b - 31 = -4*l, 4*l - 4*b + g - 3 = h. Solve -2*s = 6, 3*s + l = 2*v - 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 4, d: 1, n: 5, z: 1}. What is prob of picking 1 d and 1 j?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let -3*y**2 + 3250404*y + 3250407 = 0. Calculate y.\nAnswer: -1, 1083469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.0770929 hours to nanoseconds.\nAnswer: 277534440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.1 and -16458.\nAnswer: 1645.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -11 + 42 + -29 + -9 + -1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qpqqqbjpqqjqgjjfb. What is prob of picking 1 b, 1 g, and 2 q?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h be 12\/8*(-20)\/(-375)*5. Let m = -0.95 - -1.15. Let l = 9 - 6. Which is the nearest to 1? (a) l (b) m (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*r**3 + 1136*r**2 + 160170*r - 324900.\nAnswer: 2*(r - 2)*(r + 285)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5766211?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Are 1 and -8\/3449 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 2984351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*s + 28 = 23*s. Let v(f) = f**3 - 13*f**2 - 11*f - 33. What is the least common multiple of 24 and v(s)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -6*v + 63. Suppose -2*b + 15 = -5*d - b, 0 = -4*d + b - v. Let i be d + 1 + -4 + 46 + 1. Calculate the highest common divisor of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 4*p**3 - 6*p**2 + p + 3. Let b(h) = 9*h**3 - 13*h**2 + 3*h + 7. Let y(z) = 7*a(z) - 3*b(z). Let g be 1\/(2\/8)*1. What is the units digit of y(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 225 is divided by 84.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 677, 1330, 1983?\n\"Answer: 653*m + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g = 4*v - 11, -4*v + 17 = v - 3*g. Solve 2*o + 10 = -v*f, 2*f + 3*o + 7 = -2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 232 + 385*q - 221 - 759*q + 3*q**4 + 383*q in the form o*q**4 + p + l*q**2 + x*q**3 + w*q and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Determine o, given that 5*o**2 + 89817380*o + 403358087503220 = 0.\nAnswer: -8981738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.3, -8, -0.212, -6\/13?\nAnswer: -0.212","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 4602935 - 4597828 + 3647*c**3 - 847*c**3 wrt c.\nAnswer: 8400*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-105)\/(-1260))\/(10\/8).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 41376 and 52896.\nAnswer: 22798176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**10\/h**(1\/11)*h**(1\/13)\/(h\/h**4))**13 assuming h is positive.\nAnswer: h**(1857\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 2973240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -60795 or -60347?\nAnswer: -60347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 33 - 31 = 0. Suppose -q*j + 2*v = -1408, -17*j + 22*j = 2*v + 3505. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 676 minutes before 9:47 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -2, 5, -110 in ascending order.\nAnswer: -110, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 3 - (20 - 11) - 2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.99043 + -1.13043. Let z = 1.5 - 2. Is b greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2667, 2669, 2671, 2673, 2675?\nAnswer: 2677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (9*x + 2*x + 4*x)*(3*x - 3 + 3) to q*x**2 + p + s*x and give q.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2554, -10236, -23046, -40984, -64050, -92244, -125566?\nAnswer: -164016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y = -8*c - 44, 8 = 3*c - 5*c. Solve -y*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 4*c**2 - 1522*c*y**3 + 4*c + 6*y**3 - 83*y**2 - 58*y wrt c.\nAnswer: 8*c - 1522*y**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1640612 divided by 4.\nAnswer: 410153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -11 - 29*a + 12*a + 9*a + 8. Let k(f) = f + 1. Let y be 32\/((-12)\/3) + 2. Determine y*k(z) - o(z).\nAnswer: 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = 42 - 15. Suppose 27 = 3*u - s. Suppose u = -0*d + 3*d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 7285.122 millilitres?\nAnswer: 7.285122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -n**3 + 15*n**2 - 13*n - 16. Let u be j(14). Let r be -15*-4*u\/8. Is r >= -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) be the third derivative of 0*d**3 + 1\/60*d**5 - 2*d**2 - 5*d + 0 + 0*d**4. Let f(v) = v**2 + v. Calculate k(f(p)).\nAnswer: p**4 + 2*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -j - 18. Determine t(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -3*y + 1. Let b be a(5). Let n = 25 + b. Let u(w) = 7*w**2 - 19*w + 33. Let q be u(2). Solve -n = 4*f + v, -7*v = 4*f - 2*v + q for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (58 - -1) + 670 + -619 + (-44 - -1).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -0.133 (b) 0 (c) 2 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-3 + 7\/2)*-12. Let q(u) = 1 - 19*u - 5 + 18*u. Let t be q(k). Solve -2*s = s - 4*w + 16, 3*w - 12 = t*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + ((sqrt(272) - (sqrt(272)*2 - sqrt(272)))\/sqrt(8))\/((sqrt(242)*1 - sqrt(242)) + sqrt(2)) + 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3423*a = 1649*a - 1987*a + 42517 + 168099 for a.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -104.2 to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10*18\/(-45))\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = -3*r - 6, -p + 12 - 14 = 5*r. Solve -4*l = -g - 16, 3*l + g = -r*g + 19 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -c - 2*c**2 + 6*c**2 + c.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 18, -3132 in ascending order.\nAnswer: -3132, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = -38 + 34. Let g be (-34725)\/(-50)*t\/(-6). Suppose 0 = -4*u - 4, 0*u - g = -3*z + u. Calculate the highest common factor of 22 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -37*z**2 + z + 43. Give x(-4).\nAnswer: -553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 27900 and 8556.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 17\/264 and -59\/330?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 2*l + 1. Let y(t) = -2*t - 1. Let z = -10 - -12. Let r(i) = z*y(i) + 3*d(i). Suppose 2*j = -3*a + 1 + 3, -4*j - 4*a = -4. Determine r(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 292563265 divided by -1\nAnswer: -292563265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*m**2 - 3*m**2 + 3*m**2)*(-2 - 1 + 2)*(2 + 1 - 2)*(5*m + 4 - 4) to the form z + d*m**3 + b*m + n*m**2 and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -294, -1207, -2718, -4821, -7510, -10779?\n\"Answer: d**3 - 305*d**2 - 5*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -2*k - 10. Let a be m(-8). Let f be -2 + 1 - 9\/(-3). Let i(s) = -5*s**f - 6 - 6*s + 12*s**2 + 4*s**3 - 5*s**3. Give i(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 7 = -s, -z + 0*z = 3*s - 17. Suppose -s*v + 4*g + 120 = 0, v - 4 - 9 = 3*g. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -33*r**3 - 7*r**2 + 6*r - 1. Let c be v(6). Let s = -10416 - c. Let k = -18353\/6 - s. What is the common denominator of k and -49\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of t*y*z**3 + t*y + t*z - 3*y*z**2 - 205*y*z - 44*z**3 - 2*z wrt z.\nAnswer: 6*t*y*z - 6*y - 264*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) be the third derivative of w**8\/784 + 3*w**7\/245 + 11*w**6\/280 + w**5\/70 - 3*w**4\/14 - 4*w**3\/7 + 3*w**2. Solve z(b) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.148 minus -126.21?\nAnswer: 126.358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = j**3 + j**2 + 2 + 5 + 5*j**2. List the prime factors of v(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -6.85 - -0.85. Which is smaller: -89 or g?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -54 - -303. What are the prime factors of o?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -42*v - 412*v - 186*v + 11*v in the form r*v + s and give r.\nAnswer: -629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:40 AM and 6:50 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h - h = -160. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 156871 divided by 90.\nAnswer: 156871\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -3 divided by -65\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*sqrt(27) - ((sqrt(675))**2 - sqrt(27)).\nAnswer: -675 + 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m = -3*t + 42, t - 4*m - 20 = -t. Let j be 2\/9 + 104\/t. Find the first derivative of 16 - j*o**2 + 19 - 24 wrt o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**6*w**(-1\/4)*w)\/(w**(-6)\/w*w*w**(-4)) assuming w is positive.\nAnswer: w**(67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = 561 + -557. Suppose -63*u**5 - 2*u**3 + 14*u**3 - 76*u**2 + 13*u**v + 59*u**5 + 15*u**4 - 56*u = 0. Calculate u.\nAnswer: -1, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -37\/6 and 1\/(-3)*531\/27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 29, 136, 425, 986, 1909?\n\"Answer: 15*x**3 + x**2 - x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -2816962 (base 11) in base 14?\nAnswer: -905602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 6*c. Let m be g(2). Suppose 0 = 4*a + a + 15, 2*a = 4*i - 534. What is the highest common factor of i and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -13688.35055 + 13501.3. Let p = -192.05 - h. Let n = 5 + p. What is n rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) be the third derivative of i**5\/20 + 43*i**3\/6 - 50*i**2 + 26*i. Let t(d) = -2*d**2. Determine a(t(v)).\nAnswer: 12*v**4 + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 154 - 1 - 8466782\/64264?\nAnswer: 85\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 709\/2 + -328. Let p = 257\/10 - k. What is the third biggest value in -2\/7, p, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -334 - -211. Let u = d + 122.999999566. Round u to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/7*y**2 + 6\/7*y + 20\/7.\nAnswer: -2*(y - 5)*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -15613, -31393, -47335, -63445, -79729, -96193, -112843, -129685?\n\"Answer: -m**3 - 75*m**2 - 15548*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -l**3 - 15*l**2 + 2. Suppose -28 = 5*x + 47. Calculate the lowest common multiple of 14 and p(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a + 4*y + 23 = 19, -2*a + 3 = -3*y. Find w, given that a + 1\/3*w**4 + 0*w**3 - 1\/3*w**2 + 0*w = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 3052 and 140?\nAnswer: 15260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -767.3? (a) 1\/2 (b) 5 (c) 10 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 4605197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1943190 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 47876 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Product of -6534807.6 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (7 - (-161)\/(-21)) + (-2)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 276153931 and 1154.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*u**2 - 2 - 14142*u + 0*u**2 - 14183*u + 4*u**3 - 2*u**4 + 28272*u to the form c*u**4 + p*u**3 + z + f*u**2 + q*u and give q.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-32)\/(-10))\/((-4)\/(-20)). Let r be 4\/m + (-5)\/4. Is -2\/7 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -159, -157, -155, -153, -151, -149?\n\"Answer: 2*o - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = -14 - -13.1. Let n = 0.5 + b. Let u = 16.8 - 11.8. Put n, u, 0.1 in decreasing order.\nAnswer: u, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-3)\/5)\/((-10)\/50). Suppose -1 = a*n - 7. Let v(o) = 1 - 6*o - 2 - 15*o**3 + o**n + 4*o + 16*o**3. What is v(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -z + 95. Suppose z = 3*g + d, 31 = 2*g - g - d. Suppose -7*n = -n - g. Solve 3*u + 4 = -i - 0*u, -3*u + 16 = n*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/9138 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 1 (b) -20 (c) -3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 428, 1698, 3816, 6770, 10548, 15138, 20528, 26706?\nAnswer: 33660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -8*j**2 - 21*j + 9. What is p(-5)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2.5 (b) -10 (c) -1.8 (d) 0.1 (e) 5 (f) 2\/9 (g) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -22367*p*y**2 + 2*p + 92563*y wrt y.\nAnswer: -44734*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 2619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(2688)*1)\/(sqrt(726)*2 + sqrt(6)) - (-6*sqrt(70)*2)\/(sqrt(160)*-3)) + -5)**2.\nAnswer: 150*sqrt(7)\/23 + 14800\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -0.04792 times 0.05438\nAnswer: -0.0026058896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r - 4*o - 36 = -15, 0 = -r + 2*o + 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -6 take away 151173?\nAnswer: -151179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*q - z + 5 = 0, -q - 2 - 13 = -3*z for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*q + 5*j = 6436 - 6428, -q = -4*j + 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:01 PM and 12:45 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 723 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 0.095*-0.57\nAnswer: -0.05415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - 11*r = -60. What is the third derivative of 97*q**4 - 2*q**4 - 8*q**2 - 6*q + 14*q**r + 2*q**3 wrt q?\nAnswer: 2616*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find g, given that 3*g**5 + 474*g**4 + 6426*g**3 - 1428*g**2 - 20253*g - 12870 = 0.\nAnswer: -143, -15, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*w**4 + 4*w**3 + 40*w**2 + 32*w.\nAnswer: -4*w*(w - 4)*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 35 (b) -2\/31 (c) -0.35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -86 + 92. Suppose -j - x*p = -2*p - 110, p = 2*j - 193. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:56 PM and 6:40 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-12)\/(-10)*(52 + -22)\/(-60). Let f = -3 - -3.07. Let d = f + -3.07. What is the nearest to -0.1 in -5, w, d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -18*n + 612. Let r be v(34). Solve 13 = 4*w - 5*s, r = 5*w + 3*s - 31 + 24 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 12\/(-15)*5*-19. Suppose 4 = -2*u + u, 4*u = 3*r - w. Suppose 12*k - 16*k = r. Which is the nearest to 1\/2? (a) 4 (b) k (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 597 a factor of 614174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -73\/39777 and -65\/25119.\nAnswer: 333052821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hpjajtp. What is prob of sequence phj?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -1\/3*d**4 + 0 - 46\/3*d**3 - 160*d**2 + 384*d.\nAnswer: -d*(d - 2)*(d + 24)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 968649 and 394?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6512?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 4 - 2)*(-2*s + 0*s + 4*s) + 2 - 2*s - 2 + 5*s - s - 2*s + (-2 - 5 + 3 - 2 + 2 + 1 + (-3 + 2 + 3)*(1 + 2 - 5))*(2*s + 3*s - 4*s).\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = -15*f + 68. Suppose f*w - 981 = -33. What are the prime factors of w?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2\/91 (b) 29 (c) 0.5 (d) 10\/21 (e) 1 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1031 or -31?\nAnswer: 1031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gddgdddddddgdddddd. Give prob of picking 1 d and 1 g.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -30 - -6?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1048 + 1042. Let m = -2.2 - -2.3. Which is the nearest to 1? (a) m (b) r (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 13 + -2. Calculate the highest common factor of 99 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) be the third derivative of 111*m**5\/5 + m**4\/3 + 20*m**3\/3 - 101*m**2. Let c be v(-14). What is c rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1052 is divided by 522.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41*q + 37849 = 19126 - 87877. What are the prime factors of q?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (36\/3)\/(3\/4). Suppose 5*i - v = 54, i - 3*i + 18 = -4*v. Suppose 0 = -k*a + i*a. Solve 4*g - 3 - 1 = a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -91\/1002 and 31\/20.\nAnswer: 10020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 169998 = -7420*u + 51278 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = 302.8 - -97.2. Let m = -330.9 + k. What is m rounded to 0 decimal places?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 62 + -62.0184. What is u rounded to 3 decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 1, -1\/4, -74 in ascending order.\nAnswer: -74, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*o + 2*o + o)*(0 + 0 - o + 1 - 1 + o - o - 3*o + 3*o - 2*o + 3*o - 2*o + (1 + 3 - 3)*(-1 + 1 - 2*o) + 0 + 0 + o - o + 7*o + 0*o - 10*o + 133*o - 9*o).\nAnswer: 819*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -4432241 - -1321?\nAnswer: -4430420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -10, -19, -34, -55, -82, -115, -154?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from kkkkkkkkkkkkkkokkko. What is prob of sequence kkkk?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1108?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 1, l: 1, t: 1, d: 2, j: 2, f: 1}. Give prob of picking 1 d and 1 t.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3\/(-16*(-75)\/(-10000))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -275\/31 + 856\/93. What is the nearest to h in 0.5, 8, 0.01?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -w**2 - w + 15. Determine l(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 u and 1 p when three letters picked without replacement from bunpnnnhunpnbbnhuw.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000412603 to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/(20\/105)*(-1)\/3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 3 by 118712.\nAnswer: 3\/118712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -2*h**2 - 19*h + 15. What is x(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = x**3 + 12*x**2 + 33*x + 6. Calculate z(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 25*g**2 - 1104*g - 5445. Determine d(-5).\nAnswer: 700","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -z**2 + 9. Let j(b) = 7*b + 3. Calculate n(j(i)).\nAnswer: -49*i**2 - 42*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 120? (a) 1\/3 (b) 2 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = m + 5*s - 97, -2*s + 3*s = 2*m - 172. What is the greatest common factor of m and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 3, e: 4, f: 3, p: 3}. What is prob of picking 2 p and 2 e?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 122 (base 3) to base 8.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 86863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*l = -7*l. Let v be 7 + 3*(-1 - l). Solve 3*g + g - v*x = -24, 2*g = 4*x - 18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*j + 197 + 7*j + 149*j**2 - 27*j + 10*j.\nAnswer: 149*j**2 + 197","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 0 = -0. Let d be -9*2\/(-12)*-2. Sort u, d, 4 in increasing order.\nAnswer: d, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -92731, -370873, -834441, -1483435?\n\"Answer: -92713*m**2 - 3*m - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 74860.\nAnswer: 2, 5, 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 74 (base 9) to base 2\nAnswer: 1000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2053014, 4106028, 6159042, 8212056, 10265070?\nAnswer: 12318084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s = 5*h + 25, -3*h - 6*s - 15 = -s. Let u be (8 + 1)\/(h\/25). Let x = 63 + u. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 87*k - 1660. Let y be u(22). Do 2798\/11 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-63)\/28)\/(-9))\/((-6)\/16)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = m**3 - 235*m**2 - 28434*m - 842. Give r(-88).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -q**5 + 85*q**4 + 34*q**3 - q**2 + 1284*q - 3 wrt q?\nAnswer: -60*q**2 + 2040*q + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 4*v + 5. Let k = 4 - -4. Suppose 5*g + 1 = 11. Let p be g*4\/(k\/(-5)). Let m(y) = -3*y - 4. Determine p*m(l) - 4*d(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5336057889?\nAnswer: 3, 359, 827, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 23\/1156 and 35\/153?\nAnswer: 10404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 293 minutes before 6:53 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 1 u when two letters picked without replacement from {m: 3, u: 1, h: 16}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 7199401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 211 + 59 + 252 + 17*b - 171.\nAnswer: 17*b + 351","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n be 0 + 1290 + (-2 - -3). Is 31 a factor of -6 - (-8 - n) - -9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -115374 divided by 19229.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 153*y**2 - 1269*y - 659. Give r(10).\nAnswer: 1951","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (4 - 2) + (2 - (-7 + 4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = 436 + -432. Let n(o) = -7*o**2 - 8*o + 2. Let c(u) = 8*u**2 + 9*u - 3. Determine z*c(h) + 5*n(h).\nAnswer: -3*h**2 - 4*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 73\/4246 and -45\/88.\nAnswer: 16984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (-6 - -5) + 6 + -10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 8 - 5. Let i = -18 - -25. Suppose 5*v + 3*r = i, -3*v - 9 = -5*v + 5*r. Which is smaller: v or y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 6 - 6. Is m - (-18 + 1) - 2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 54187928 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00144850556 to 6 decimal places.\nAnswer: 0.001449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n be 9\/(43\/(-20) + 4 + -2). Let k be 1 - -4*1\/2 - n. Does 17 divide ((-21)\/k)\/(1\/(-333))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 202 or 263?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 28 a factor of 160422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine k so that 2*k**4\/5 - 13*k**3\/5 + 28*k**2\/5 - 23*k\/5 + 6\/5 = 0.\nAnswer: 1\/2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:12 PM and 2:03 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = 17 + -17. Let b be (-73)\/(-3) + 3\/(-9). Let x = b - 10. Solve c = i + 5*q + x, -3*i - i - 14 = -q for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 96 + -58. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 19 + -15. Suppose 0 = -s + 4 + 1. Let i = -2 + s. Solve 0 = 2*v - i*v + b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 15577, 124565, 420385, 996451, 1946177, 3362977, 5340265, 7971455?\nAnswer: 11349961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Let w be (-1)\/(-3) - 32\/36. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 3 (b) 0.6 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) be the first derivative of 3*z**2 + 4*z + 3. What is the derivative of f(v) wrt v?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -41400 - -1738973\/42. Find the common denominator of -169\/126 and v.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 4*i - 27. Let b be l(8). Suppose 3*r + 256 = -b*w, 5*w - 3*r - 2*r = -240. Let n = 23 - w. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00067547 to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {l: 2, r: 1, d: 2, a: 8}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -p + w - 6 = 0, -12*p + 2*w + 7 = 59 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -100, -82, -54, -16, 32, 90?\n\"Answer: 5*d**2 + 3*d - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*t**3 - 10307*t + 5159*t + 5148*t.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1161 + 769. Let r be (-1736)\/z + 4\/7. Let s be 1\/(-2 - -5)*-3. Which is the closest to s? (a) r (b) 0.4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -b. Let z(f) = 5*f + 9. Give 3*n(i) + z(i).\nAnswer: 2*i + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 2 k when three letters picked without replacement from vkvrrrckrvrvcckckkk?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 476*f + 390*f + 250*f + 2029*f + 907*f to h + x*f and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(-8)*444\/185.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 1973 times 242.8?\nAnswer: 479044.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = o**2 + 13*o - 9. Let u(l) = -l**3 - 9*l**2 + 13*l + 14. Let a be u(-10). Let i be n(a). Let b = i - -7. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*w + 7*w + 63. Which is the nearest to 0? (a) 3 (b) -4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -j**3 + 19*j**2 - 16*j - 24. What is the remainder when 91 is divided by q(18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 106 + -53. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from wweeqewwweqwww.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 91146726.\nAnswer: 2, 3, 11, 460337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = f**3 + 18*f**2 + 18*f + 21. Suppose -18 = 5*v + 67. Let j be o(v). Let n = -1\/15 + 37\/105. Which is the smallest value? (a) j (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17*h**3 + 24*h - 41*h + 17*h.\nAnswer: -17*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 1507, 1878, 377, -3932, -11985, -24718, -43067, -67968?\n\"Answer: -156*y**3 + 1463*y + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 13*c + 1. Let t be g(2). Suppose 0 = -0*l + 3*l + 6, l = 3*u + 55. Let b = u + t. Solve -2*n + b = -3*f, 6*f = 3*f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = 18*n + 2. Let c be r(-5). Let x be (-1)\/2 - 60\/c. Which is bigger: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15838086 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -3*n + 2. What is d(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 55, -3015, -11385, -27701, -54609?\nAnswer: -94755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -8 - 3069b?\nAnswer: -306a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -58*b + 62*b = 8636. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 360, 2905, 9832, 23337, 45616, 78865, 125280, 187057?\n\"Answer: 366*p**3 - 5*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:36 AM and 4:39 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -1079 (base 11) to base 6\nAnswer: -10321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -22282*a**2 + 11028*a - 11028*a + 4251*a**2 in the form z + h*a**2 + q*a and give h.\nAnswer: -18031","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve m + t + 10475 - 10473 = 0, 5*m - 5*t = 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 24483\/10 + -171341\/70. Find q, given that 1\/7*q**2 - 4\/7*q + b = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1 - -2. Let p = x + 1. Suppose 2*q = -q - 4*m + 3, 5*q - 5 = -p*m. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x\/(x*x*x*x*x*x\/x**(-2\/7)*x*x*x*x*x))**(-42)\/(((((x**1*x)\/x)\/x*x)\/x)\/(x\/(x*x**(2\/3)))))**12 assuming x is positive.\nAnswer: x**5176","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 + ((11 - 17) + -18 - (9 - 4))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 774324413 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: Sort 4, 1\/3, 6\/11 in decreasing order.\nAnswer: 4, 6\/11, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -3 (b) -0.2 (c) -25\/8 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express (-1555*g + 303 + 304 - 908 + 301)*(5*g + 2*g + 2*g) as v + u*g + m*g**2 and give m.\nAnswer: -13995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 46\/5 of a milligram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -499 in -2, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -2\/7 (b) 5\/4 (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0 - 10. Calculate the common denominator of (-56)\/l + 2\/(-4) and 51\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -86 + 138.1. Let s = 52.1 - l. Which is the nearest to s? (a) 0 (b) -1\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 2\/9, -2\/3, -21.736, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 2 l when three letters picked without replacement from zuslzulzzzzzz?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = 118*a**2 - 7*a. Let j(q) = -59*q**2 + 3*q. Determine -7*j(p) - 3*k(p).\nAnswer: 59*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0101 to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = i**3 - 10*i**2 - 9*i - 3. Suppose 5*z - 4*y = 47, -27 - 21 = -4*z - 2*y. Calculate the remainder when 74 is divided by c(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -18 + 22. Let u be p\/18 + 237\/27. Solve 4*j - u = -1, m + 1 = -2*j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -805, -1552, -2293, -3028, -3757?\n\"Answer: 3*p**2 - 756*p - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -7391*v**2 - 157*v - 6. Let j(r) = 7418*r**2 + 158*r + 4. Let n(c) = 6*j(c) + 5*z(c). Find the second derivative of n(k) wrt k.\nAnswer: 15106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 12 (base 15) to base 4\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -4 - -8. What is the smallest value in 2, 2\/7, c, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/5 of a millennium in decades?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(7)*-5*5)**2.\nAnswer: 39375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -o**3 - 9*o**2 + 5*o + 4. Give j(-5).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3094 is divided by 555?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 7 - -3915?\nAnswer: 3920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nn when two letters picked without replacement from aafafabffaamnmnfaa?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*w + 5*i = -32, 2*w = -3*w + 3*i + 27 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 710 and 2290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = -62.68 - -62.37. What is the biggest value in 2, 3\/11, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 0\/((-2 + -1)\/3). Solve o = -f*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -14.96854 and 0.08.\nAnswer: -1.1974832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - 2*q - 9 = 0, -8*m + 3*m - 3 = 2*q. Let p = 2 + m. Let l be 68\/(-17) + (-2)\/(-2) + p. Solve 8*w - 3*w - z + 4 = l, -w - z = -4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 10\/5 - (3 - 1). Suppose -a + f*a = -11. Suppose 0 = 3*s - 5*s + 5*k - 4, 5*s = 2*k + a. Solve 3 = -s*l - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32*v = v + 3751. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -31*t**3 - 2*t**2 - 3*t - 2. Let y be d(-1). Suppose -6*h - y = -11*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -2\/19 and -7\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 25, -3, 5211 in increasing order.\nAnswer: -3, 25, 5211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 55 = -m - 5*a, -51*m + 52*m + 3*a + 33 = 0. Let 1\/6*z**2 + 0 + m*z + 1\/6*z**3 = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -1000.8 * 8\nAnswer: -8006.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1)\/1)\/((48\/20)\/((-52)\/(-65)))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -378298 (base 11) to base 2.\nAnswer: -10010001101010011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.19 and 1.013.\nAnswer: -0.19247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4021174 is divided by 178?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3115803 divided by -1.\nAnswer: -3115803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -10329137\/22 or -469505?\nAnswer: -10329137\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3069 + 3080. Solve -8*k - 7 = 2*j - c*k, -3*j = -k - 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 249220?\nAnswer: 2, 5, 17, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -23386, -23444, -23584, -23842, -24254, -24856, -25684, -26774?\nAnswer: -28162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -63 = -12*n - 167 + 68 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*a = -11*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*f**2 - 2*f**3 + 2*f**2)*(2 + 3 - 3) + 5*f**3 - 16 + f + 16.\nAnswer: f**3 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 68, 255, 574, 1031, 1632, 2383, 3290?\n\"Answer: b**3 + 60*b**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h be 4\/(-18) + (-38)\/(-9). Suppose -15 = -3*r, -h*j + j - 3*r + 27 = 0. Let z be (0 + j)*1\/14. Is 1\/4 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1331897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -170*i + 218*i**2 + 16*i + 161*i - 7*i.\nAnswer: 218*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*t - 775441 - 489220 = 0. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -39 - -40. Which is bigger: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-9)\/6*-1 - 10\/(-4). Suppose 4*q - 2*l = 16, 2*q - 2*l = -3*l + 4. Solve 2\/7 + 10\/7*g**q - 10\/7*g + 6\/7*g**2 - 8\/7*g**r = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 - (19\/(-7) + (-8)\/28).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find f such that 5\/3*f**5 - 15*f**4 + 720 - 720*f + 55\/3*f**3 + 195*f**2 = 0.\nAnswer: -4, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/270*-9*15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -14148 + 14167. Solve -26*f - 35 = -u*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -5 (base 9) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 582472 and 616?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = -o, -3*u - 40*o + 30 = -45*o for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -3*y**2 + 64*y + 1. Let m(w) = 6*w**2 - 125*w - 3. Calculate 2*m(l) + 5*s(l).\nAnswer: -3*l**2 + 70*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide 37163904 by -816.\nAnswer: -45544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (-7)\/((-84)\/(-117)) + 10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*g - 10, -4*v - 66 = v + 3*g. List the prime factors of (-3)\/v + (-31)\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 45\/41702 and -53\/15818.\nAnswer: 458722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -d**3 - 6*d**2 - 9*d - 7. Let g be n(-6). Suppose f = 3, -4*h + 20 = f - g. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 186.04 - 186.09. What is the nearest to 2\/5 in q, 1, 1596?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 10 - 2*o**2 + 0 + 11 + 0*o**2 in the form f*o**2 + c*o + j and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 37255229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 1\/4*g + 1\/4*g**2 + 0 - 1\/4*g**3 - 1\/4*g**4.\nAnswer: -g*(g - 1)*(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4489409 rounded to the nearest 1000?\nAnswer: -4489000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = -23141\/57 - -406. Let g = -52\/285 - w. Suppose 0 = -5*l - 10, 2*l = 5*h + 5*l + 31. Which is the closest to 1? (a) 5 (b) g (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2031221313030 - 0?\nAnswer: 2031221313030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (-3 + (sqrt(1053)*-1)**2 + 2 - (sqrt(1053) - (sqrt(1053) - (1 + sqrt(1053) + sqrt(1053) + -3) - sqrt(1053))**2 - (-5 + 0 + sqrt(1053)))).\nAnswer: -72*sqrt(13) + 5267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 243809 to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -119\/24 and -149\/1031436.\nAnswer: 2062872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2366103.9953 + -2366209. Let r = k + 105. Round r to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3 + 6. Suppose 434*r - 5460 = -476*r. Solve r*h = k*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 962140 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 243271382 to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 7642, 7636, 7628, 7618, 7606, 7592, 7576?\n\"Answer: -k**2 - 3*k + 7646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.8 - 6.8. Let s = -3588\/7 + 512. Is l < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-30)\/20 - 5 - 2\/4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -q = -7*h - 9, 0 = -4*q - 3*h - 235 + 209 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s - 5*o - 14 = -1, -o = -4*s - 81. Let c = s + 29. Let j be (-8)\/(-4)*(-2)\/c. Sort j, 6\/7, 0.2.\nAnswer: j, 0.2, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 3 + 3)*(-36 - 19 - 6)*(-1 + 1 + 3*c**3).\nAnswer: 366*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 8241493 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1036 - 1031. Which is the second smallest value? (a) -1\/54 (b) 0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2 and (-4)\/((-2)\/80*1)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*f**3 + 18741*f**2 + 168912*f.\nAnswer: -3*f*(f - 6256)*(f + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 10 = 2*g, -2 = 4*h - 3*g. Let b be h + (-15603 + 2)\/1. What is b rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m = m + 8. Suppose -m = -5*o + 8. Solve 0 = -3*f - q - 0*q + 18, o*f - q = 7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 830674171, 830674169, 830674167?\n\"Answer: -2*p + 830674173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ghhgggghgtggh. Give prob of picking 3 h and 1 g.\nAnswer: 32\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -55 - ((-10 - -15) + -19 + 23)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = -109 - -115. Solve -6 = -4*m + s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (12\/(-3))\/72*-4\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k**(-2\/41))\/k)**(-9\/8)\/(k\/(k*k**(-13)*k))**33 assuming k is positive.\nAnswer: k**(-64935\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 6 + -37e7?\nAnswer: -37e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*v - 3*o + 6 - 0, v = o + 6. Suppose -31*g + q = -36*g + 5020, v*g = 3*q + 2994. List the prime factors of g.\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10011111111011 - 11000?\nAnswer: -10100000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(1\/8)\/m*m\/m**(17\/3))\/(m**(-3))**47 assuming m is positive.\nAnswer: m**(3251\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*z = -19*z - 105 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 63 minutes after 7:20 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*d - 11 = 15. Calculate the highest common divisor of d and 137.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 3*t**3 - 18*t**2 - 24*t + 20. Give f(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -9*l - 2*l - l**2 + 11*l - 50*l**3 to z*l + u*l**2 + t + v*l**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n be 11\/33 - (-5)\/3. Let z be -1 + n*11\/26. What is the third smallest value in 1, 0.4, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 560 minutes before 10:50 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 27*o - 2 + 5*o + 10*o.\nAnswer: 42*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 1427, 1400, 1375, 1352, 1331, 1312, 1295?\n\"Answer: r**2 - 30*r + 1456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 15) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 28 - 23. Let n be 10\/(x + -2 + -1). Suppose 96 = n*v - 2*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 13515347*q**2 - 32944913*q + 2?\nAnswer: 27030694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -5, -27, -49?\n\"Answer: -22*l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 48? (a) 0.1 (b) 119\/5 (c) -25\/6 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*g = -5*i - 62, 2*g = -4*i + 109 - 53 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = -1244*l + 46573. What is k(38)?\nAnswer: -699","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -196 = -5*p - 46. Suppose 23 + 9 = 4*u. What is the least common multiple of p and u?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 222 divide 2407156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -q**2 - 7*q - 5. Let s be u(-6). Suppose 0*i = -i - m - s, -4*m - 16 = i. Solve i*k = -0*k - 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 596 minutes after 3:11 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l - 810 = -786 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.04 in 0.1, 3490, -0.1, 3, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**1*x*x*x*x)**(17\/4)\/(x**0)**(-4\/9)*(x*x**(2\/13))\/x**(-3)*(x\/x**(1\/3)*x)\/x*x*(x**(-1\/4)*x)\/x assuming x is positive.\nAnswer: x**(1046\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 60*7.\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*w**2 - 43*w - 23 + 100*w - 51*w + 5*w**2 - 4*w**2 + w**2 - w**2 + 0*w + 0*w + (1 - 1 + 2*w)*(3*w - 5*w + 0*w).\nAnswer: -w**2 + 6*w - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = -284 + 293. Put -2, -8, 7, t in decreasing order.\nAnswer: t, 7, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.0279 - 0.5279. Suppose 0 = -f - 4*r - 7, -3*r + 6*r = 5*f - 11. Sort h, -6\/11, -1\/7, f.\nAnswer: -6\/11, h, -1\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose m = -0*m - 2*j + 159, 3*m = -5*j + 480. Is 24 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -24*s. Let b(z) = 17*z + 54. Let t(m) = 14*m + 45. Let h(c) = 5*b(c) - 6*t(c). Calculate 36*h(i) + 3*v(i).\nAnswer: -36*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 85*y**4 + 231*y wrt y?\nAnswer: 1020*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 12\/(-8)*102\/(-459)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) 1\/4 (b) 0.3 (c) -1751 (d) -2\/4521 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 598067518 a multiple of 972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = 171 - 44. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -20, -0.5, -2, 1\/23?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 8308 and 74.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 36450*c**4\/7 + 6635520*c**3\/7 + 302873328*c**2\/7 + 80412672*c\/7 + 5352992\/7 = 0.\nAnswer: -818\/9, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w be (7 + -7)*1 - 1*5. Let p(a) = 26*a + 28. Let y(l) = 9*l + 9. Let m(c) = -3*p(c) + 8*y(c). List the prime factors of m(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 90205 is divided by 52.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 788800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rd when two letters picked without replacement from {r: 5, d: 5, j: 1}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w be 8 + -7 - (31\/33 + 0). Let h(z) be the first derivative of -2\/11*z**2 + 1\/22*z**4 + 0*z + w*z**3 - 1. Suppose h(u) = 0. Calculate u.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*v + 1 - 9 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*r + 2*m + 65, -3*r - 5*m = -22 - 17. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 38253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*w - 86 = -101*w. Is -1\/230 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = -3*s - 7 - 2, 8 = 2*p - 3*s. Let q(o) = 81*o + 3. Let n be q(p). Differentiate -38 + 3*y - 2*y + n - 44 wrt y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.01615324998 rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 151 - -2?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1112 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -4 - -13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = 653 - 621.575. Round f to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s = g - 7565, 2*s + 171*g - 176*g = 3053. List the prime factors of s.\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.81 + 80.19. Let p = -221 + m. Let r = -140.59 - p. What is r rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = -5*u + 2. Let y be u\/(2\/(-14)) - 2. Suppose -4*s + g - 12 = 5*g, 0 = -y*g - 25. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.02 or 85415?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1135 = 154*r - 149*r + b, 3*r - 694 = 2*b. Calculate the smallest common multiple of r and 96.\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 7, b: 2, r: 2, w: 1}. Give prob of sequence ffrr.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 531 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14 is divided by (8 - 9)*-1*9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -k + 16. What is o(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -680.999712 + 681. What is l rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 131696 and 16462.\nAnswer: 131696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = n**2 + 32*n + 267. Determine x(-20).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 9.38 + -9.37. Put u, 5\/2, -8, -7 in descending order.\nAnswer: 5\/2, u, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 525 - 325. Suppose -14*j - 17*j = -40*j + 216. Calculate the greatest common factor of i and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 75840409 to the power of 1\/2, to the nearest integer?\nAnswer: 8709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((k\/(k\/(k\/(k*k\/(k**(-2\/5)\/k)*k)*k)))\/k)\/k)\/k)**22*(k\/((k**(2\/49)*k)\/k)*k)\/k*k**8\/k)**45 assuming k is positive.\nAnswer: k**(-244404\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c**(-20))\/c**(-4\/15) assuming c is positive.\nAnswer: c**(-281\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = -13851127070.94999936 + 13851135283. Let n = f - 8212. Let d = n - 0.05. Round d to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {g: 10, e: 9}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -396 - -619e9?\nAnswer: 61653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (-32 - 3) + 159 + -136?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2 - -2. Let i(d) = 467*d - 88738. Let c be i(190). Sort c, h, 8 in decreasing order.\nAnswer: 8, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 1 + 7*s + 2)*(s**2 + 2*s**2 - s**2).\nAnswer: 14*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((b\/(b**1*b*b))\/b)\/b)**(-2\/3)\/(b\/((b**(-1\/2)*b*b)\/b*b)*b)**(-33))**(-20) assuming b is positive.\nAnswer: b**(-1150\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 36 = -11*j + 10 + 180 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 692 - 466. Let i = u - 140. Is i a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/7877 (b) -0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 25 minutes before 10:34 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*478729.\nAnswer: -478729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 176 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert -b5a03 (base 14) to base 2.\nAnswer: -1101010111111110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 497, -7, 2\/3, 1\/3, 0.4 in decreasing order.\nAnswer: 497, 2\/3, 0.4, 1\/3, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 74025 is divided by 1898.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 2046 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from nonoknnkkkkkk.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = -923 + 905. Let h be (1 - 1)*1 + (-54)\/p. Let -1\/3 + 3\/2*v - 11\/6*v**2 + 2\/3*v**4 + 0*v**h = 0. What is v?\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zhqh when four letters picked without replacement from hhqjajxzzjh?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -18 + (-12 - -20) - -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 71916486703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 455 and 182?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p = 142 + -129. Suppose -10*q + p*q - 147 = -3*n, 86 = 2*q - 2*n. Calculate the remainder when 255 is divided by q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -2, -33 in decreasing order.\nAnswer: 4, -2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -20001010 (base 3) in base 2?\nAnswer: -1000100110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -1. Let l(d) = d**3 + 23*d**2 - 27*d - 66. Let u be l(-24). Let o be ((-3)\/6)\/(3\/(-6)). Let s(p) = -4*p + p + 12 + 4*p - 4. What is o*s(m) + u*n(m)?\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 4 - 2)*(-q**3 + 2*q**3 + 0*q**3) - 132 - 47*q**3 + 132.\nAnswer: -49*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*x = -5*f + 12*x + 1791, -5*f + 1794 = 4*x. Is f a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2253, 9020, 20301, 36096, 56405?\nAnswer: 81228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 578 minutes before 9:12 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -c**3 - 12*c**2 - 12*c + 4. Let a = 369 + -380. Does 15 divide v(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 367*o**2 - 4 - 3*o - 120*o**2 - 120*o**2 + 2*o - 121*o**2. Give f(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2727.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -262, -279, -296, -313, -330, -347?\nAnswer: -364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 543*p + 550*p + 3*p**3 + 538*p - 1631*p.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -4*b**2 + 8*b + 1. Let h be z(2). Let p = -13 - -19. Suppose -p = 3*i - 5*i. Solve -h = 3*c + 5*n - i, -n = -2*c - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 r and 1 q when four letters picked without replacement from {q: 4, r: 10}?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3788258 rounded to four dps?\nAnswer: -0.3788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*r = -21*r + 35. Let v(d) be the second derivative of -1\/40*d**r + 6*d + 1\/8*d**4 + 0*d**2 + 0 - 1\/6*d**3. Factor v(k).\nAnswer: -k*(k - 2)*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*f - 14 - 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = 2*p + 9. Let n be (-3)\/(-12) + 78\/8. Let q(u) = -6*u - 28. Let z(h) = n*i(h) + 3*q(h). Determine z(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000001249516 rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jpuu when four letters picked without replacement from iiikiiikuijuupukju?\nAnswer: 1\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z be (30\/32)\/(-5)*(-4)\/6. Which is greater: z or -10?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2*o - 4*o + o)*(-10752*o**3 - 49658*o + 49658*o) in the form y*o**3 + x + m*o + l*o**2 + d*o**4 and give d.\nAnswer: 10752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k = 5*n + 142, n + 269 - 91 = 4*k. Let t = 47 - k. Let r(z) = -z + 1. Let a(j) = -3*j + 3. Let o(i) = -a(i) + 5*r(i). Determine o(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -10.7035 + 10.9035. Let j = 1 - 0.6. Which is the biggest value? (a) j (b) d (c) 2\/55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w - 63200 = 4*q, 0 = -w - 0*w. What is q rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9 - 44) + 53 - ((-1 - -9) + 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - r = 10*r. Solve a + 3*a + l - 12 = 0, r = -5*a - l + 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 41.02 - 46.042. Let v = -0.022 - k. Which is the second biggest value? (a) 0.1 (b) 4 (c) v (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u**4\/3 - 44*u**3\/3 + 1972*u**2\/3 + 26588*u\/3 = 0 for u.\nAnswer: -17, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = 9*t - 1. Let d be w(1). Let n be 426\/4 - (-4)\/d. Let x = n + -52. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -q**2. Let r be (-10)\/35 - 23\/(-7). Let l(h) = -2*h**2 + 1. Calculate r*l(d) - 7*k(d).\nAnswer: d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 52369.02 weeks to microseconds.\nAnswer: 31672783296000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -246 + 248. Solve -2 = -k*o - 12 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 334 is divided by 112.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7846 + 97846 = 2*f. Suppose 0 = 7*c - 2*c - f. Suppose 3*z = 8*z - c. What is z rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:16 AM and 11:21 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b = 5.1 + -5.5. Let o be (-3)\/39 + 3\/((-1911)\/133). Let r = 251\/63 - 41\/9. What is the nearest to r in b, 0, o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in i + 127*i + 139*i + 315*i + 207*i.\nAnswer: 789*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 2*r**2 - 443*r + 24326. Give x(121).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 1188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8912436 divided by -228524.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -f**4*g + 14*f**2*g + 4*f*g - 624*g + 2 wrt f.\nAnswer: -4*f**3*g + 28*f*g + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 592 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y = -975742.9505 - 241.0495. Let b = -975986.300013 - y. Let c = b + 2.3. Round c to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 2*i**3 - 4*i**2 - 2*i - 4. Let v(n) = 5*n**3 - 13*n**2 - 7*n - 14. Let l(q) = -7*j(q) + 2*v(q). Let b(g) = g**3 - g**2. Determine 6*b(t) + 3*l(t).\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42 = n - 364. List the prime factors of n.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ddcdc. Give prob of sequence ddd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 11*f + 38*f**2 + 12*f - 23*f to the form q*f**2 + n*f + r and give q.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = -13 + -30. Let v = z - -40. Which is the biggest value? (a) -0.1 (b) v (c) 1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t = -3*m - 39, -24*t + 35 = -3*m - 22*t. Let n(u) = -2*u**2 - 19*u + 22. Let d be n(m). Calculate the greatest common factor of 496 and d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-6)\/9*(242 + 1). What is the units digit of k\/(-8) + (-9)\/36?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 28 + 0 + (84 - 180 - -91)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) be the second derivative of 15*v**4\/4 - 170*v**3\/3 - 80*v**2 - 531*v. Factor a(q).\nAnswer: 5*(q - 8)*(9*q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -k - k**2 + 2*k - 21 - 2*k**3 + 26 + 3*k**3. Let t be q(0). Suppose 2*g - 20 = 5*p, 2*g + 20 = -3*g - t*p. Which is greater: g or -1\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1220 + -9763\/8. What is the nearest to h in -0.05, -0.2, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 3253, 12985, 29199, 51895?\n\"Answer: 3241*l**2 + 9*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1632 - -1730. Calculate the smallest common multiple of 77 and t.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m = -2*s - 10, 4*m - 11 = s - 0. Suppose 3*r + 78 = 5*x - 54, -m*x + 4*r + 88 = 0. Is 35 a factor of 16\/x - (-1048)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -y - 10. Let j be d(-8). Let b(l) = l**2 - 7*l + 2. Let a be b(7). Let o(q) = -2*q**2 + 9*q - 8. Let x be o(4). Put j, a, x in decreasing order.\nAnswer: a, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = 461 - 453. Find the second derivative of -178325 - 169*m**p - 189*m + 178325 wrt m.\nAnswer: -2028*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 20\/8*2 + -1. Suppose 20 = -x*c + 6*c. Calculate the lowest common multiple of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**0)**(2\/9)\/(h**(-7)\/h**(5\/2)) assuming h is positive.\nAnswer: h**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 2, u: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 160 minutes before 7:59 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*y - 3*y - 30 = 0. Suppose -y = 2*f - 34. Suppose 4*l = -2 + f. Solve -l*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 79 is divided by 44?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Determine q, given that 3*q**3 - 651*q**2 - 168207*q + 36637119 = 0.\nAnswer: -237, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.004109 + -63916.995891. Let z = j - -63915.55874. Let a = z - -1.44. What is a rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1.653 + 2662.453. What is p rounded to the nearest 10?\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1 + -22737848?\nAnswer: -22737847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 64070 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 29 + 5 + (-29 - 37)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -4\/5 (b) 1\/5 (c) -1\/4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 96*k - 92*k - 17 = 5*u, 0 = 3*u + 2*k + 19 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kwkkjkkwkwkkwkkkwkkk. What is prob of picking 3 w?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2418 - 87276*w**2 - 2418.\nAnswer: -87276*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 10\/3 of a hour?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (15*308\/1650)\/((-4)\/(-10))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -695*s - 37605 - 11740 for s.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 2744857376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4404\/(-15)*1184\/444*15\/(-4) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 136*s - 296 = 248 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1\/30 + 7\/10. Determine p so that -2\/3 - i*p**4 - 2\/3*p**5 - 2\/3*p + 4\/3*p**2 + 4\/3*p**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 2*k, 4*k - 8 = 4*m - 32. Is 9 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1.7 in -3, 4, -0.3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 4*m - 2. Let g be p(-1). Let r be g*2\/(-4) + -17. Let u be 60\/7*r\/(-2). Calculate the highest common factor of u and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*v - 28*v + 5*v + 2030370 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 253*h*k**2*v**2 + 16*h*k**2*v - 2*h*v + k**2*v + 24300*k*v**2 - 73751 wrt v?\nAnswer: 506*h*k**2 + 48600*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1265467993 to the nearest integer?\nAnswer: 35573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -0.1639 to 2 dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (28\/(-4))\/7 - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 16 + -3. Suppose -3*u + v = -2*v - 87, -u + y = -5*v. Calculate the remainder when u is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*r + w + 1, -4*r + 37 = -w + 6*w. Suppose r*v = -v. Let a be 1 + 10\/(-8) + v. Put 2, a, 0.3 in decreasing order.\nAnswer: 2, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.9165 - 20.0035. What is v rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -p**3 - 8*p**2 - 8*p + 1. Let t be r(-7). Let o = -5 + t. Let d be o - 4\/(48\/26). Is 2\/7 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*f - 4*f**2 + 4*f + 23*f**2 - 88*f + 88*f - 3*f + 3*f + 2*f**2 - 2*f**2 + f**2 - f**2 + (-2*f + 0 + 0)*(6*f - 2*f - 3*f).\nAnswer: 17*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide -4423340 by -670.\nAnswer: 6602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -122\/3 (b) 4 (c) 1 (d) 1\/6 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2323 - -3072. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1951 - -1951. Solve 5*p - 1259 + 1304 = o for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 741 is divided by 386?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 47\/5214 and 89\/2.\nAnswer: 5214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 9779529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 982578169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 518 divided by -1.\nAnswer: -518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 122, 123, 126, 131, 138, 147, 158?\n\"Answer: b**2 - 2*b + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -p**3 - 3*p**2 + p + 1. Give y(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -42 - 22.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -22447236 + -5?\nAnswer: -22447243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 335a (base 11) in base 13?\nAnswer: 2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*g**3 + 2 + 0 - g**3 + (-10*g**2 - 7*g**2 + 20*g**2)*(482 - 482 + 4*g) - 4*g**3 + 5*g**3 + 0*g**3 + (g + 4*g - 6*g)*(-2*g**2 + 1 - 1).\nAnswer: 17*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -k + 5*k - 8. Let o(r) = k*r**2 + 0*r + 0*r. Let j(g) = -g**2 + 9*g**2 - g**2 - 5*g**2. What is o(j(m))?\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -5+-66769\nAnswer: -66774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -2 (b) -6175 (c) 3\/20 (d) -1 (e) 3\/8 (f) 4 (g) -1\/2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -298261951.63871 less than 0.04?\nAnswer: 298261951.67871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 48 = h + 2*b, -3*h = -5*b - 96. Suppose -5*m + 7 + 3 = 0. Suppose h = m*c - 53. Calculate the greatest common divisor of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(2\/5)\/p*p**(-4))\/(p**(-3\/4)\/(p*p\/p**(-8))) assuming p is positive.\nAnswer: p**(123\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -8*x**2 + 113*x - 605. Let g(n) = 55*n**2 - 790*n + 4235. Let p(o) = -3*g(o) - 20*h(o). Factor p(i).\nAnswer: -5*(i - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 0.0489 and -339373115.\nAnswer: -339373114.9511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -227.32 times 9.3?\nAnswer: -2114.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q be -1 + -2 + (-102)\/(-2). Suppose -4*d = 4*l - 36, -5*l - 6*d + q = -2*d. Let g be 13\/(130\/l)*5. Is 6 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -339745 + 4?\nAnswer: -339741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2 - -22. Suppose z = -2*z + v. Let u = z - 0. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 828 + 277 = b. What is the highest common factor of b and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from kzkkzk. Give prob of picking 2 z and 2 k.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -120, -73, 156, 657, 1520?\nAnswer: 2835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*p + p**2 + 2*p + (-3*p + 4*p - 2*p)*(0 + 0 - 2*p))*(832 - 832 + 36*p**2).\nAnswer: 108*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6)\/7 - (-6)\/(-504)*-30.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11 + 41 + -67 + (-3 - (-80 - 2))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 9.9792756us?\nAnswer: 0.000000000016500125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 128118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = -49.85 - 6.35. Let z = h - -52. Let p = 0.2 + z. Which is the closest to -1? (a) p (b) -0.4 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -d + 2 - 1 + 6*d**2 - 1. Let l be h(1). Solve 0 = l*b - 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 168 + -175 + -20 + 9285\/345.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -35 + 19. Calculate the common denominator of b and 8\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 73\/1788156 and -167\/12914460?\nAnswer: 116230140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -177 smaller than -1950\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out 3.57572382 + -0.04368.\nAnswer: 3.53204382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-957)\/(-2))\/(43 + -28) - 4\/10. Suppose -6*d**2 - 15\/2 - j*d = 0. What is d?\nAnswer: -5, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21816049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 41\/55337896 and 61\/83006844.\nAnswer: 166013688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 576 minutes after 1:20 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 3 + 295?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-4)\/7)\/((-24)\/84). Solve b*z = 3*z + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -3034071 or -3034086?\nAnswer: -3034071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide 299653 by -1.\nAnswer: -299653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11824?\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -515*d + 188*d + 13659672 - 13659669 to f*d + w and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4)\/144*((-40)\/60)\/(6\/(-27))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 257409?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -8377*a + 8436*a = 2301 for a.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 6328643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y be (0 + -5)*(-12)\/20. Suppose -116 = 35*s - 1306. Suppose v = -y*r + s, -2*r - 91 = -2*v - v. List the prime factors of v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = v**2 - 6. Let y be -453*15\/(-90)*(-1 + 5). Let l = y - 302. Calculate r(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = 17*u + 2. Let t(a) = -17*a - 3. Calculate -3*j(d) - 2*t(d).\nAnswer: -17*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 9 (b) -3\/2 (c) 36 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (136 - 45 + 13 + 137)*(23 + 10 + 1)*(r**2 + 0*r + 0*r).\nAnswer: 8194*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (((-60)\/(-5))\/(-1))\/((-312)\/416)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*q*q*q**(3\/7)*q)\/q**4)\/((q*q*q\/(q**(-4)*q)*q*q)\/(q**3*q*q)) assuming q is positive.\nAnswer: q**(-18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -84 = 3*g - 5*d + 2*d, -3*g + 5*d = 76. Let m be (-4)\/(g\/52)*18. Calculate the greatest common factor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -145 + 3040*d**2 + d + 37 - d + 110 to b + h*d + l*d**2 and give l.\nAnswer: 3040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:16 AM and 9:15 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 13*o**2 - 2*o + 1. Give a(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - ((-123)\/(-9) - 1) - (-12)\/(-36)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -3*a**2 + 4*a - 1. Calculate p(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s be 30\/8 - (-1)\/4. Let f(x) be the first derivative of x**4\/24 - x**3\/6 + x**2 - 2. Let y(q) be the second derivative of f(q). Calculate y(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve c = -4*f + 22, 3*f + 948 = -4*c + 984 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2671166 = 341*y - 2031906. Is y a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -23 + -1736e?\nAnswer: -17392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -226*r + 9 - 130*r - 151*r + 40.\nAnswer: -507*r + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 31\/5 of a microgram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = -15 + 58. Suppose h - 41 = 4*y - 8, h + y = m. Let b = h + -36. Solve -12 = -b*k + 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (k + 0*k - 3*k)*(7*k - 4*k**2 - 7*k).\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*b**3 + 4*b**3 + 5 + b**3 - 20.\nAnswer: 3*b**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d**3 + 6825*d**2 - 3105375*d + 470981875 = 0. What is d?\nAnswer: 455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 139192?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 817*g - 128 = 833*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2*((-9)\/((-81)\/(-171)) - -18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2\/5, -6\/47, 1\/2, 6\/19?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 459358787?\nAnswer: 7151, 64237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = 324 - 283. Suppose -k = 0, k = -b*t + 44*t - 231. Calculate the least common multiple of 66 and t.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -21*j + 20*j - 20*j in the form s*j + m and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jjh when three letters picked without replacement from {j: 3, h: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b - 50 = 3*b - 3*c, 3*b + 3*c = -27. Suppose 5*k - 19 + 29 = 0. Put b, 2, k in decreasing order.\nAnswer: 2, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 287245 to the power of 1\/2, to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 117? (a) -20 (b) -4 (c) 0.2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3.5 - 7. Let p = m - -4. Let g be 3\/((-1)\/4*3). What is the third smallest value in 2\/13, g, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + 5 = -3*l + 4*l, -2*c - 2 = 2*l. Let g(w) = w**3 - 6*w**2 + 5*w - 2. Let b be g(5). Let v be b\/l - 1\/2. Let q(j) = -j**2 - j + 1. Determine q(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10 - (-22 + (1 - -9) + -11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-452)\/2 - (7 - 7\/1). Let n = 235 + j. Put n, -8, -1 in increasing order.\nAnswer: -8, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 64\/2665 and 54\/1235.\nAnswer: 50635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -468 in -0.3, -0.2, 1\/9, 1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 13 and 3893773?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*k**2\/2 - 15*k - 84.\nAnswer: 3*(k - 14)*(k + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(275) - sqrt(275)*-2)*5)**2 + -4.\nAnswer: 61871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 84\/70 - 106\/80?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 (base 13) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (27 + 9 + 28 - 44)*(-2 + 2 + 3*l**3)*(154*l + 113*l + 30*l) in the form w*l**2 + t*l**4 + d*l**3 + j*l + o and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -145\/70518 and 49\/9271.\nAnswer: 8955786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Do -0.8 and -3\/116288 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*g**3 + g**3 + 0*g**3)*((-3 + 5 - 1)*(-3 - 2 + 6)*(g + 3*g - 16*g) - 2*g - 2*g + 2*g).\nAnswer: 70*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 3, p: 1, h: 3, y: 4, z: 4, m: 5}. Give prob of picking 2 m and 2 z.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*m + 5*m - 3*y - 8 = 0, -4*m = -3*y - 43. Let l = -2 + m. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 2*n**2 + n + 9. Let f be c(4). Suppose -f = -4*q + 167. List the prime factors of q.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -5 - -7.6. Let m = d - 13.6. Let g = m + 14. Which is the biggest value? (a) g (b) 2\/3 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 131*q**3 - 265*q**3 - 167*q**3.\nAnswer: -301*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1021 is divided by 275?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 4217526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 1574, 1, 2, -5, -17 in decreasing order.\nAnswer: 1574, 2, 1, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - 170 = r - 2*r, 3*j + 3*r + 150 = 0. Let s = 82 + j. Let h = s + -17. Calculate the greatest common divisor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -33 - 19?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 40 = -y - 0*y, 32 = 3*b - y. Suppose 20 = 2*w + 4*t - 8, -25 = -2*w - t. What is the greatest common divisor of b and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -o**2 - o + 3. Let i be n(0). Let l(j) = -j - i*j + 3*j. Let u(z) = -2*z + 8*z - 2*z. Give u(l(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -5.2 and 0.017?\nAnswer: 5.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j be 6 - (2 - 4)\/(-2). Let c(z) = -z**2 + 6*z - 5. Let x be c(j). What is the biggest value in x, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1.3 - 1.5. What is the nearest to -2\/7 in k, -4, 1\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -101873, -201437, -301001, -400565, -500129?\n\"Answer: -99564*w - 2309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 648495 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 584795611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) be the third derivative of 11*i**6\/180 - 10*i**3\/3 - 4*i**2. Let y(q) be the first derivative of t(q). Let d(p) = -2*p**2. Determine d(y(r)).\nAnswer: -968*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -2*f**2. Let s = -95 - -99. Let p = 7 - 5. Let l(q) = 2*q**p - 6*q**2 + 3*q**2 + s*q**2. Give l(m(u)).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -12439 divided by 1?\nAnswer: -12439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (3*8\/(-36))\/((-8)\/(-6))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10 + 1110101011?\nAnswer: 1110101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + 0*r - 2*r + 546*r**3 - 532*r**3 to the form w*r**3 + z*r**2 + j + p*r and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.015 * 420149.\nAnswer: 6302.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express (0 - 1 + 0)*(-q**3 - q**3 + 0*q**3) + 141*q - 307804*q**2 + 307804*q**2 - 11*q**3 in the form h*q**3 + v*q**2 + i*q + d and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = -12 + 6. Let l = 7 - j. Calculate the highest common factor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u\/u**5)\/u**(-2\/11))\/(u**(3\/2)*u*u\/(u**7*u))*(u**(2\/5)*u*u*u)\/(u**(-3)*u)*u**(1\/2)*(u\/(u**(1\/10)\/u*u))\/u assuming u is positive.\nAnswer: u**(713\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -7471*a**4 - a**3 - a**2 - 93202*a?\nAnswer: -89652*a**2 - 6*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v be 30 + -34 - 265\/(2\/2). Let c = v - -601. What are the prime factors of c?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 176211780 by -1.\nAnswer: -176211780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 767531?\nAnswer: 59, 13009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = -27 - -16.3. What is g rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4618541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*k + 399 = 423 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 - (-1 + 3 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-3)\/(105\/38) + 12\/(-60). Let j = 9 + -4. Suppose -10 = 4*i - 5*i + 2*g, 2*i - g - j = 0. Which is bigger: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = f**2 - 6608*f - 1389649. Give t(-204).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.0356 - -852.9644. Let j = o + -879.91. Let a = j - 2.89. Round a to 0 dps.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2.6 + -10.6. Let z be (-2 + 25\/12)*(-134 - -125). Which is the third biggest value? (a) z (b) -3\/2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -130 (base 11) to base 4.\nAnswer: -2122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -4*l**2 - 31*l - 23. Let p be m(-7). Let o be ((-15)\/p)\/((-21)\/(-112)). Calculate the greatest common divisor of 140 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 7 + 3)*(-6 + 3 - 5)*(-a + 2*a + 0*a).\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (36\/24)\/(9\/(-24)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 o and 1 s when four letters picked without replacement from {o: 4, n: 2, z: 1, c: 1, s: 1, g: 3}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 9 (base 13) to base 2\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/5 in -280, 5, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.13 - -0.43. Let m(r) = -r + 9. Let z be m(5). Which is the nearest to 2? (a) z (b) -1\/3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 + z)*(502 + 22*z - 502 + (2 + 3 + 0)*(-2*z + 4*z + 5*z)).\nAnswer: 57*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Solve 676*s + 631*s + 3731 + 44549 = -56280 for s.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand -57*j**3 - 2*j**5 + 18*j**2 + 57*j**3 + (-j**4 + 4*j - 4*j)*(-j - 2*j + j) + 4*j**5 + 0*j**5 - 3*j**5.\nAnswer: j**5 + 18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*u + u + 3*u)*(137*u**4 + 1336*u**4 - 174*u**4).\nAnswer: 2598*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 14592806?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 1, m: 1, w: 3}. What is prob of sequence mww?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + -4*(sqrt(136)\/(sqrt(24)\/sqrt(3)) + sqrt(17) + -1).\nAnswer: -8*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 1, v: 1, l: 2, o: 3}. Give prob of picking 1 v and 2 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -19 + -13?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 515 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*a**3 - 2*a**3 + 0*a**3)*(1 + 2*a - 1 + (-5*a + a + a)*(-2 - 4 + 3))*(366*a - 253*a - 358*a) + 0*a**5 + 0*a**2 - 2*a**5 + 2*a**2.\nAnswer: -2697*a**5 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = 3*g - 21. Let p be k(9). Let v be 88\/p + (-8 - (-125)\/15). Suppose 4*a = 5 + v. What is the lowest common multiple of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 35631 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1373 - 1373 - 84*h.\nAnswer: -84*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -1663.68*-4\nAnswer: 6654.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 66, -2, 9813, -3, 1 in increasing order.\nAnswer: -3, -2, 1, 3, 66, 9813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = y**2 - 2*y + 1. Let w be q(2). Which is smaller: w or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 19704, 20195, 20686, 21177?\n\"Answer: 491*q + 19213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -308 divided by 2\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r = 4*i - 2, 31*i - 30*i - 14 = 4*r for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10*n**2 - 11*n**4 - 8*n**4 + 20*n**4 + 2*n - 4*n to d*n**4 + t*n**2 + o + m*n**3 + y*n and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -p**3 - 14*p**2 - 38*p + 10. Determine h(-7).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -261*2\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*k - 4*k - 80 = 0. Let v(s) = 30*s - 41*s + k*s - 8. Let h(a) = 4*a - 4. Determine 5*h(l) - 2*v(l).\nAnswer: 2*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m**0)**(-35\/6)\/(((((m*m\/m**(-2\/5))\/m)\/m)\/m)\/m)**(-2\/23))\/((m\/(m*m**0\/m))**(-1)*m*m**5*(m\/(m\/(m\/(m**2*m))))\/m) assuming m is positive.\nAnswer: m**(-5501\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11 + 1676*s - 9530*s + 11.\nAnswer: -7854*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 611 minutes after 9:59 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -129\/2, -8, 0.2.\nAnswer: -129\/2, -8, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-8*9\/(-180))\/((-3)\/(-3885))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 126899\/1015320 + 2\/126915. Let s = 1.3 + -0.3. What is the closest to s in h, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -54*a**2 - 61*a - 126. Let z(t) = 11*t**2. Let c(b) = w(b) + 5*z(b). Factor c(v).\nAnswer: (v - 63)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = v**2 + 18*v - 16. Calculate j(-19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(-7)\/z*z)\/z*z**(1\/3)*z*(z**(-6\/7)*z)\/((z*(z*z**(1\/2)*z)\/z)\/z*z))**31 assuming z is positive.\nAnswer: z**(-11749\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -c**2 + 22*c + 2. Let w be t(22). Solve 3*d - 4*a = 14, w*d + a + 2*a = -2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from llnylnnynynylnnyy. What is prob of picking 1 n, 2 l, and 1 y?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-3 + 100)\/(-1))\/(-1) - (-29 + 37). Let c(d) = -d**3 + 4*d**2 - 4*d + 5. Let x be c(6). Let i = x + j. Sort 2, i, 5, -1.\nAnswer: i, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -92 + 96. Suppose -4*h - 8 = 4, 2*h = -q*v + 44399994. What is v rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 484 - 479. Suppose -4*v = q*m + 1 - 29, 3*m - 10 = v. Solve -3*h = -b + 11, b - v*h = -0*b + 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vvvvqvvvvqqqq. What is prob of sequence qqvv?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence om when two letters picked without replacement from {o: 9, m: 9}?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 99*x + 384. Determine i(-5).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 128 and 22317302?\nAnswer: 1428307328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 110 - -19 - (25 + 88).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-5))**(1\/25)\/((y*y**(-12)\/y)\/y)**(-19) assuming y is positive.\nAnswer: y**(-1236\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wwuwwwwkhhu. What is prob of sequence wuu?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 9, z: 11}. Give prob of picking 3 o.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k - 4*p + 740 = 4*k, 2*k - 5*p - 263 = 0. Suppose -6*x + 36 = -4*x. What is the greatest common divisor of k and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 38653*g + 22. Let m be f(-9). Let o = -761855 - m. What is o rounded to the nearest 10000?\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 1 - 3)*(-4 + 4 + 2)*(7*u - 1 + 1).\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h be 6*(-8)\/(-264) - 4\/22. Suppose h = -15*d + 8*d + 2135. Suppose 317 + d = 2*w. Round w to the nearest ten.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00233 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -2*o**3 - 25*o**2 - 8*o + 44. What is m(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 66 = -4*s + 14*c + 96, -7 = -s + 3*c for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 12, 13, 8, -9, -44, -103?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1355832985?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f = f - 920. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 29*w**3 - 858*w**2 + 1725*w - 860. Let a(j) = 64*j**3 - 1713*j**2 + 3450*j - 1720. Let h(s) = -4*a(s) + 9*m(s). Determine y, given that h(y) = 0.\nAnswer: 1, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -2275, -4516, -6673, -8704, -10567?\n\"Answer: 7*x**3 - 2290*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 221 (base 6) to base 3.\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = 303*u**3 + 137*u - 2. Let n(c) = 2*c**2 - 2*c - 2. Let m(k) = -n(k) + w(k). What is the second derivative of m(y) wrt y?\nAnswer: 1818*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2\/2289 + -3926\/2289. What is the closest to 1 in u, 31, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -9*z**3 - z**2 - 5*z - 19. Let i be y(-4). What is the highest common factor of i and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = 3*u**2 + u. Let h be x(1). Solve -h*g - 9 = 11 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 480 minutes before 11:32 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -5*m + 14. Suppose 4*d - 20 = r, -m*r - 10 = -0*d - 2*d. Let r - 2\/9*s**5 + 0*s**3 + 4\/9*s**2 - 4\/9*s**4 + 2\/9*s = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*r = -3*u + 51, -5*u + 2*r - 33228 + 33201 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) be the third derivative of 1\/330*t**5 + 1\/660*t**6 - 2*t**2 + 0*t**3 - 1\/1155*t**7 - 14 - 1\/132*t**4 + 0*t. Factor n(b).\nAnswer: -2*b*(b - 1)**2*(b + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.3 + -2.7. Let s = o + 2.9. Sort 0.4, 1\/11, s.\nAnswer: s, 1\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.179 - 0.242. Let h = f + 0.093. Which is greater: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 420 minutes before 10:26 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*o**4 + 6*o**4 - 2*o**4)*(4 + 2 - 4) - 1 - o**4 + 1 - 3*o**4 + 4*o**4 - 14*o**4 - 15*o**4 + 6*o**3 - 6*o**3.\nAnswer: -25*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3\/7 (b) 434.93 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (-18)\/24 + 26\/(-8) + -25 + 29?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 3*i + 4. Let q(z) = 3*z - 1. Let f be q(-2). Let c(a) = -5*a - 7. Let d(r) = f*l(r) - 4*c(r). Let w(j) = -5*j**2. Give w(d(p)).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = -8 - 38. Let d = k - -24. Let c be (1\/6)\/((-3)\/(-9)). Which is smaller: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14738 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 991316552 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = k + 4*k - 30. Suppose n = k*n. Suppose n = b - 2*b + 15. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) be the second derivative of n**5\/120 - n**3\/36 - 67*n. Find w such that a(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-1)\/(((-16)\/44)\/4). Let h be (-72)\/(-30) - 4\/10. Solve h*p + 3 = z for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1448.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express -2 + 10*v + 6*v - 13*v + 2*v as k*v + t and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -10335, -20646, -30919, -41136, -51279?\nAnswer: -61330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1467033526?\nAnswer: 2, 7, 4789, 21881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*c = -12*c - 189. Calculate the lowest common multiple of c and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 250449010.\nAnswer: 2, 5, 7, 523, 6841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -123510 + 25?\nAnswer: -123441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -9*n**3 - 3*n**2 - n - 2. Let l be d(-2). Let p = l + -45. Solve 2*k + 3*k + p = -5*b, -2*k - 6 = 3*b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -170853 - -406930. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 60.17127 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -b + 83. Let l be a(65). Solve 0 = 30*k - 42 - l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 3 - 1 = 0. What is the common denominator of -97\/10 and ((-5)\/(-12))\/(x\/57)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0002615838 rounded to 5 decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5*(2\/10 + (-2672)\/(-80)) is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1\/4, -0.2, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -3.835 + 3.635. Let i be 3\/((-1)\/((-6)\/45)). What is the closest to a in i, -5, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -7.2 and 8.4?\nAnswer: -60.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/2 of a kilogram in grams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -0.079234 + -0.91\nAnswer: -0.989234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide 1351806 by 6.\nAnswer: 225301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 4923 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:33 PM and 5:14 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l be -3 + (1 - -1) + 281 + 5. Suppose -2*c - l = -5*c. Let r = -5 + c. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = n**2 + 7*n - 1. Let r be x(-5). Let j = r + 5. Let d be j\/21 + 56000004\/14. What is d rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = x**2 + 50676*x - 5840964. What is z(115)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -13c47 - 2?\nAnswer: -13c49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 73243725 is divided by 22385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0, 3, -3, -10, -2, -23, 53\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*((-3*sqrt(180) + -4 + 5)**2 + (-3 + (sqrt(180) - (sqrt(180) + 3*sqrt(180)*-2)))**2 + 1).\nAnswer: -756*sqrt(5) + 24333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -135 + 134. Which is the nearest to h? (a) 0.4 (b) -6 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -47*x + 39*x - 32376. Put 4, x, -5 in ascending order.\nAnswer: x, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by 106448483?\nAnswer: -3\/106448483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide -20925541 by -7.\nAnswer: 2989363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 3*l + 36. Let y be s(-5). Solve -4*n - 5 + y = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-20)\/6)\/(-5))\/((-3)\/18).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 48 and 42.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 73 and 2019691.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 66443 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from negetntngeeeeteengne. Give prob of sequence ne.\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = o - 110*o**3 - 231*o**3 + 34*o**3 + o**2 - 5 - 4*o**2. Is u(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 57 + -55. Suppose 2*y = -3*t + 7709, o*t - 4374 = 3*y + 761. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*i - i**3 - 29*i**3 - 78 + 0*i + 47.\nAnswer: -30*i**3 - 2*i - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.3 in -0.041, -2\/105, -42?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-3)\/2*4\/6. Let i be -7*-2*2\/(-14). Let j = n + i. What is the second biggest value in 2, j, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1058*b**2 - 671*b**2 + 587*b**2.\nAnswer: -1142*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -123*n**3 + 190*n**3 - 115*n**3.\nAnswer: -48*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 30\/33 + (-115738)\/(-16170) + -8?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1860 by -310.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n = -65967.79 - -65583. What is n rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1 + 2. Factor -4*q**2 + 2*q + 2 + f*q**2 - 3.\nAnswer: -(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2 - 0. Let m be 90 + (-4 - (0 + l)). Suppose 4*w - 50 + 6 = 0. What is the greatest common divisor of w and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -56*w = 4360915 - 4361867 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2 + 3. Suppose 0 = 2*k + 184 - 196. Let c(m) = -k*m + 9*m - 4*m - 2*m. Calculate c(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:55 AM and 11:50 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 4 (base 5) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2\/(9 - -3) - 155\/30. Let p(y) = -170*y - 11. Is p(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 296264 (base 10) in base 7?\nAnswer: 2342513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -18449*p**3 - 2*p**2 + 198*p - 20?\nAnswer: -110694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k = 3*s + 45, -4*k - 13*s + 10*s + 9 = 0. Let o = -326 - -328. Solve o*a + 4 = 0, 3*a + k = -3*i - 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 132854 + -1*((6 - 2) + -9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4592603 and 179?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = g**2 + 4*g - 8. Let l be s(-7). Suppose -4*v + 49 = l. Solve 2*j + 2*d = 0, -2*d + v - 21 = 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 435 - 300. Is q a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1801576397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 32, 161, 382, 701, 1124, 1657?\n\"Answer: p**3 + 40*p**2 + 2*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence my when two letters picked without replacement from tmcmmmcytt?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -8, -7059, 7\/2?\nAnswer: -7059","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -1723, -4791, 0 in ascending order.\nAnswer: -4791, -1723, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15912\/1053*36\/16.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -1540528*v - 61659 = -1540001*v for v.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -0.555 less than 1\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -1275, -2166, -3059, -3954, -4851, -5750?\n\"Answer: -d**2 - 888*d - 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o be 66 - 68 - (-2767 + -3). Calculate the greatest common factor of o and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44*b = 56637827 + 85262173. What is b rounded to the nearest 100000?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39 = v + 34. Let j(c) = c**3 - 7*c**2 + 7*c - 3. Let n be j(v). What is the least common multiple of 4 and n\/12*((-10)\/6 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 635\/7 - 16\/(-56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1459 - 1455. Let p(m) = -m - 3. Let i(g) be the third derivative of g**4\/24 + g**3\/3 - 6*g**2. Give o*p(n) + 7*i(n).\nAnswer: 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4 + 33\/(-27) + 2\/9. Suppose -607 = -y*d + 5*o + 286, -2*o = -d + 296. List the prime factors of d.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-24)\/60 + 100\/(-14). Let v = 50\/7 + m. Suppose 0 = t - o - 15 + 1, 3*o = -t - 6. Is v bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -2*z - 57. Determine i(-20).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -11 + 12. Which is the closest to t? (a) 1 (b) 0.5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4395321\/441 + (-4)\/(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 71 + -29. Suppose 2*w - 5*g - m = 0, 4*g - 6 = -3*w + w. What is the second derivative of 20*n**5 + 18*n - w*n - 17*n wrt n?\nAnswer: 400*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4031343.03 rounded to the nearest ten thousand?\nAnswer: 4030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -35, -97, -277, -641, -1255, -2185?\n\"Answer: -11*n**3 + 7*n**2 - 6*n - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 52582.53 centimeters to meters.\nAnswer: 525.8253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1 - -5ebc?\nAnswer: 5ebd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.046 * 207.227.\nAnswer: -9.532442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 938\/4 - (-9)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 3 (b) -2 (c) 85\/6 (d) -3\/2 (e) 48\/11 (f) 1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 498155, 996302, 1494449, 1992596?\n\"Answer: 498147*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -0.4 (b) -139\/6 (c) -0.34 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/161 (b) 4 (c) -4\/153 (d) 7 (e) 0.23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (v - 8 + 19 - 4*v)*(2593*v - 1686*v + 692*v) as p*v**2 + s*v + k and give s.\nAnswer: 17589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -2198 divided by -4\nAnswer: 1099\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 424 minutes after 4:21 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*i**2 + 2*i**2 - 6*i**2)*(-127*i + 216 - 216).\nAnswer: 254*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -g**3 - 16*g**2 + 16*g - 8. Let f be c(-17). Factor 60*k - 3*k**3 - 30*k**2 + 22*k + f*k - 15*k + 5*k**3 - 48.\nAnswer: 2*(k - 12)*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-3 - (-4 - -1))\/(23 + -28))\/(-3 + 4). Suppose -3\/2*u**2 - 48*u + m = 0. Calculate u.\nAnswer: -32, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h + 2 = 3*h - 4*b, 5*b + 6 = 2*h. Is (h\/(-6))\/((-11)\/(-50721)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y and 2 j when three letters picked without replacement from {d: 3, y: 5, j: 2, o: 3, c: 1, i: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -y**2 + 27*y + 66. Let j(c) = c**2 - 12*c - 35. Let g be j(16). Let q be h(g). Solve q - 3 = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 9, 5, -5, -1 in decreasing order.\nAnswer: 9, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 24\/12 - ((-22)\/(-12))\/1.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*m + 12*m = 5*g + 20, -5*g - 4*m - 15 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -p**2\/6 - 56254*p\/3 - 1582256258\/3.\nAnswer: -(p + 56254)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s = 4*r - 12, -r + 4*r - 5*s - 44 = 0. Suppose 0 = -f + r + 6. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -11802459, -23604915, -35407371, -47209827, -59012283?\nAnswer: -70814739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 5, k: 3, h: 1, v: 4, e: 1, j: 1}. Give prob of picking 3 v.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2516, -3, 1, 516 in increasing order.\nAnswer: -3, -0.2516, 1, 516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -2*h**2 - 29*h - 15. Let k be g(-13). Let p be k\/10*240\/36. Suppose -239 = -2*o + 49. Calculate the greatest common factor of o and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b + 3 = -5*v - 12, 4*b = -v. What is the common denominator of -55\/3 and (-78)\/24 + v\/(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3097 + 7643 = -716*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -0.1 (b) -2\/7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/1411 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 13325 + 4?\nAnswer: 13333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 6050 = 6051?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u = -5*x - 87, -28 = u + 7*x - 43. Suppose 0*h + 120 = 5*h. Calculate the remainder when u is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) be the third derivative of 0*y**5 + 40\/3*y**3 - 116*y**2 + 0 - 2\/35*y**7 + 0*y**4 + 0*y**6 - 2*y. What is the derivative of z(v) wrt v?\nAnswer: -48*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 124*k**2 + 2*k - 377*k**2 - 2*k.\nAnswer: -253*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 814, 765, 726, 703, 702?\nAnswer: 729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -40 - -b?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-10 + 12 - 4)*(2 - 3 - 1)*(-4*w - w - 10*w).\nAnswer: -60*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 316888796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -10164 = 1254*u + 15149 - 3995 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -472244159 times 3?\nAnswer: -1416732477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = 150 + -149.6. Let h = 1.7 + -1.72. Let d = h + 0.32. What is the closest to -0.02 in d, y, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 527 divide 58506475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*m - 5*h + 26, 4*m + m + 2*h = -7. Let a = 1 + m. Calculate the remainder when 11 is divided by 2\/(36\/(-21) - a).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 40 a factor of 85799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from obbboibbbioojoobzo. What is prob of picking 3 b?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 19 = 2*q, -4*q = -7*l + 2*l - 45. Suppose 0*p = -q*p + 3*p. Solve -i - 2*i + 6 = p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*o**3*v**3 + 380*o**3*v**2 - 2476*o**2*v**3 + 625*o*v**2 - 50*v**3 wrt v?\nAnswer: -12*o**3 - 14856*o**2 - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - c - 78 - 92 = 0, -z + 53 = -4*c. Let l = 827 + -824. Solve 0 = 14*p - l*p + z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -5 - -266720457?\nAnswer: 266720452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 122730 + -126.\nAnswer: 122604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (1230*q + 1096*q - 121*q)*(-2 + 2 - 2) - 4*q + 0*q + 5*q + (-2 - 2 + 2)*(0*q + 2*q - 3*q) as j + g*q and give g.\nAnswer: -4407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 373 in -3\/2, -956, 1\/10, -0.5, -10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) be the second derivative of 0*j**2 + 0 + 0*j**3 + 7*j + 1\/12*j**4. Let s(p) = -23*p**2. What is s(n(v))?\nAnswer: -23*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -26.9 times 3?\nAnswer: -80.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k be 9\/5*((-350)\/75 - -8). Let i = 10 + -7. Suppose -5*f = -4*f - i. What is the highest common factor of f and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2200 (base 4) to base 3.\nAnswer: 12221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/((-3*2)\/(1095\/(-365))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 238316.\nAnswer: 2, 13, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1, -2\/5, 3, 113, -3\/4, 5?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/((y**(-1\/4)*y)\/y))**(1\/25))**(-21\/4) assuming y is positive.\nAnswer: y**(-21\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 11 + 21?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -3 (b) 0 (c) 5 (d) -4 (e) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 78 + 17 + 0*d - d + 29.\nAnswer: -d - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + 2*s + 1 = -s, -2*s = -k + 10. Suppose -11*p - 473 + 1617 = 0. List the prime factors of p\/5 + k\/20.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be -4 + (52\/(-8))\/((-3)\/6). Is 8 a factor of ((-44)\/6)\/(h\/(-108))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -2252*z - 9099. Determine x(-4).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1746622.\nAnswer: 2, 37, 23603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1628442 and 108.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1239889440 to the nearest integer?\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 53 and 11819.\nAnswer: 11819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -4*y**2. Let j(v) be the first derivative of v**2\/2 - 9. Give u(j(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) be the first derivative of -71*b**3\/3 + 87*b - 76. What is the first derivative of n(m) wrt m?\nAnswer: -142*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = -3*l + 7. Let a be w(3). Let h(y) = 52*y - 47. Let p(x) = -104*x + 94. Let b(j) = a*p(j) - 5*h(j). What is the derivative of b(n) wrt n?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21 at least 215448?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -j**3 + 8*j**2 - 5*j - 14. Let q be 10\/(-6)*(3 - 6). Suppose 15 = 2*u + w, 0 = -4*u - q*w + 8 + 25. Let k be z(u). What is k rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 147016 is divided by 73174?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - 474 = -y, -5*y + 2*d = 1306 - 3622. Is 464 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 18992? (a) 0.4 (b) 1\/3 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000018106285 to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c = -30 + 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j = 5*k - 1435, -3*k + j - 1431 = -8*k. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.02*15.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 46, 3, -3, -23, -8 in descending order.\nAnswer: 46, 3, -3, -8, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*a = -56 + 36 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 8322825 divided by 15853?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -208, -269, -176, 71, 472, 1027, 1736?\n\"Answer: 77*d**2 - 292*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -533*d = -532*d - 18884. Suppose 246*o = 242*o + d. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h - 4*v = -4, 5 = -2*v + 1. Suppose -2*b + 0*l + l + 878 = 0, 0 = b - h*l - 425. Round b to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 79945513 to the nearest integer?\nAnswer: 8941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1)\/(-2)*7\/(21\/96). Suppose 3 + r = 2*t + 3*a, 23 = -t + 5*a. Let q be t\/(-10) - (-60)\/(-75). Put 2, -2, 3, q in descending order.\nAnswer: 3, 2, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose b = 3*a - 1, -5*b = 4*a - 2*b + 3. Sort -4, 4, a, 1 in decreasing order.\nAnswer: 4, 1, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 6\/(-3)*(-2)\/4. Let p(t) = -2*t**2 - 14*t - 25. Let j be p(-2). Sort j, i, 179 in decreasing order.\nAnswer: 179, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 31119.9774051 + -31120. Let y = -0.0226 - i. What is y rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*c**2 + 22*c**2 + 19*c**2 - c**2 - 6*c**2.\nAnswer: 38*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + -2 + (sqrt(132) + (sqrt(132) - 1*2*sqrt(132) - sqrt(132)) + sqrt(132))\/(sqrt(192)*-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + 0 = 10. Suppose -9 - 16 = -k*u. Suppose 7*c - 2*c - 2 = 3*n, 8 = u*c + 3*n. Is c > 6\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-536)\/402*(102\/16)\/(-3).\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 69 is divided by 40.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1357, -1364, -1371, -1378, -1385?\nAnswer: -1392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 138039439.\nAnswer: 17, 97, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3484975?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -15828 or -15827?\nAnswer: -15828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide -1560 by -20.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u = -17.3 + 17.1. What is the third smallest value in -5, -0.4, u, 2\/93?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -43, -114, -217, -358, -543, -778?\nAnswer: -1069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:08 PM and 1:06 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 408 and 357?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -100012010 + -12?\nAnswer: -100012022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1, 0, -2\/5, 3, -3\/7, 9\/7, 2\/7?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = a**3 - 15*a**2 + 14*a + 11. Suppose -13*k + 14*k = 14. Let i be o(k). Calculate the highest common factor of 121 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve k - 10*i = i + 14, 56 = 3*k - 4*i + 43 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 13, e: 3}. Give prob of picking 3 e and 1 b.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Add -2066644867.24 and -66.8.\nAnswer: -2066644934.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c = -196 - -193. Let q be 6\/(-3 + (5 - c) + -3). Solve -y - 2 = -a, -q = -5*y + 4*y - 4*a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 77 + (5 - (-2 + 17)) - (8 + 7)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 169758 + -101741. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2073*k**3*p*v + 439*k**3*v - k**2*p*v + 3*k**2 - 37*k*v - 19*k + 122*p*v with respect to p.\nAnswer: 2073*k**3*v - k**2*v + 122*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 3*g = -45, 0 = -2*d + 36*g - 40*g + 28. Suppose 3*r - 4 = r, 5*o = 2*r + 6. Let b(f) = 3*f - 3. What is the remainder when d is divided by b(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q + 4*l = 48, 11*q - l = 8*q + 16. Suppose 65*h + q = -4*a + 62*h, -h - 7 = -a. Determine n, given that -n**a + 4\/9 - 16\/9*n = 0.\nAnswer: -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 48\/(-21)*(5491\/102)\/323.\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 145952*d**3 - 5*d**2 + 2*d + 3. Let b be z(3). Suppose 2*p - b = 2659332. Round p to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*s**2 + s**2 + 33*s**3 - 107*s**3 + 40*s**3 + 44*s**3.\nAnswer: 10*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of b**3*j**3 + 1204*b**3*j**2 + 155*b**3 + 8*b**2*j - 3*b*j + 2*j wrt j.\nAnswer: 6*b**3*j + 2408*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 11, 2, -4 in increasing order.\nAnswer: -4, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 12906 and 4394682?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2 - 2) + 3 - -1. Suppose -4*w + i*z = 24, 5*w + 2*z - 3 = 2. Let b(m) = -m**2 + m + 1. Give b(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -23*w - 97 = -281 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*g + 8*g. Suppose g*l - 4 = 2*l, 6 = 2*y + l. Let n(i) = -4*i**3 + i. Let t be n(-1). Solve -3*b = 2*b - t*x - 40, -y*x = -5*b + 45 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 31718315.\nAnswer: 5, 19, 29, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (16\/(-144))\/((-17)\/306*-12).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h be 506\/(-230) + 84\/20. Let j(w) be the second derivative of 17*w**3\/6 + w**2\/2 - 2*w. Give j(h).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1)\/3 - (-15)\/(-9). Let m = 8\/17 + -22\/119. Let v be 13\/(130\/30) + (4 - 2). Which is the second biggest value? (a) d (b) v (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-5)*i\/(i**5*i))**11\/((i**(-4)\/((i**(-6)\/i)\/i))\/((i\/(i\/i**(4\/3)))\/(((i**(-4)*i)\/i)\/i))) assuming i is positive.\nAnswer: i**(-323\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 24749424*i**3 - 8249816*i**3 - 8249807*i**3 - 8249807*i**3.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(88)*2)\/(sqrt(110)\/sqrt(40)) - ((0 + sqrt(3872))**2 + sqrt(32) - (sqrt(192)*2)\/sqrt(6)).\nAnswer: -3872 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1538489924?\nAnswer: 2, 79, 337, 14447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 40*p**2 + 2*p**4 - 16*p**2 + 9*p**3 - 39 - 24*p**2 wrt p.\nAnswer: 8*p**3 + 27*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 33 and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1\/1010 + 2013\/7070. Which is the second smallest value? (a) 1 (b) -2 (c) i (d) -0.18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1421368 and 3160.\nAnswer: 7106840","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Factor 3 - p**2 - 2 + 8*p**2 - 5 - 12*p.\nAnswer: (p - 2)*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = r + 1. Let g(j) = -8*j - 7. Let c(p) = 2*p + 18. Let k be c(-8). Let d(h) = k*g(h) + 14*m(h). Let l(n) = 21*n. What is d(l(s))?\nAnswer: -42*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 5 (b) -0.1 (c) -8 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) be the third derivative of x**4\/4 + 2*x**2. Suppose -d - 4 = 4*s, 0 = -2*d + 2*s - 0*s + 22. Let c(k) = -2*k. Give d*c(j) + 3*f(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is one twentieth of a millimeter in micrometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -1, 22, -3\/4, 4, 0.5?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = -47\/2 + 70\/3. What is the third smallest value in -1\/8, 3, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5195, 10391, 15587?\nAnswer: 20783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 4*d + 11 = 0, -3*i + 2*d = -0*i - 5. Let m = i + 4. Solve 8*a = m*a + 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) be the third derivative of 3\/40*r**6 - 1\/2*r**4 + 0*r**5 + 0 + 1\/70*r**7 + 0*r + 0*r**3 + 5*r**2. Find i, given that a(i) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve g = 9*g - 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -a (base 11) in base 9?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c be (297\/6 - 3)*-2. Let y = c + 148. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -3*r - 7. Does 4 divide q(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(80) - (-2*(-1 + sqrt(80)) - sqrt(80)))**2*2.\nAnswer: -128*sqrt(5) + 2568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(0 + 0 + sqrt(3) + 0 + sqrt(3) + -2 + -4*(sqrt(3)*-2 + -5) + 0).\nAnswer: -72 - 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 319*i**2 - 1905*i - 30. Calculate f(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-14)\/(-49) + (-145)\/(-203). Let t(l) = -39*l - 2. Let d(x) = 77*x + 3. Let w(i) = 3*d(i) + 5*t(i). Give w(n).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 58393244 to the power of 1\/2, to the nearest integer?\nAnswer: 7642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1*-1 - 4\/(-2). Let n = 2 + -1. Let f(a) = -a + n + 0 + 2*a**3 - 5*a**3. Determine f(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -11*f**3 + 55*f. Let h(c) = -c. Suppose -2*j - 2*t - 4 = 0, -j + 7*t = 3*t - 3. What is j*p(q) - 55*h(q)?\nAnswer: 11*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*u + 36282 = -19*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -6513 + 6515. Let c(r) be the third derivative of 1\/15*r**6 + 0 + 0*r**7 + 0*r**5 + 0*r - 1\/84*r**8 - 1\/6*r**4 + 0*r**3 + 13*r**o. Factor c(a).\nAnswer: -4*a*(a - 1)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - 25\/(-15)) + 64\/(-32)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is ((5\/(5\/(-2)))\/(-2))\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 93.0000037 + -93. Round k to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3594815 divided by -2653.\nAnswer: -1355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 39126262?\nAnswer: 2, 7, 107, 26119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -27*t**3 + 2*t**2 + 3*t. Let w be k(3). What is the remainder when w\/(-45) - 4\/(-10) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -79.8 - -90. Let c = 18.6 - o. Let r = -8 + c. What is the second biggest value in r, 3, 1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -t**3 - 7*t**2 - 3*t + 33. Determine g(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 8 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1421123 - 6*f**3 - 1421115 - 3*f**2 + 2842238.\nAnswer: -6*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide 1381 by 1.\nAnswer: 1381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2 + (-3)\/((-6)\/(-4)). Let a(l) = -2 + 4 - 4*l + 3*l. Let x be a(1). Put 2, x, o in increasing order.\nAnswer: o, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3450 and 2645.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -3*g**3 - 3*g**2 - 6*g. Is l(-4) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 112964464 by -8.\nAnswer: -14120558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 753752 equal to -989?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4177 + 4177 - 1221*r)*(-r - 2 + 2)*(4 - 5 + 4).\nAnswer: 3663*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Multiply 18 and -3596.7933.\nAnswer: -64742.2794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 313.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = -113 - -227\/2. Let o be ((-11)\/(-8) + -2)*2. Is o less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) be the second derivative of -16*h - 3\/4*h**2 + 1\/4*h**4 + 0*h**3 - 1\/20*h**6 + 0*h**5 + 0. Let b(p) = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/20 of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 5567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.61 (b) 3969 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/83, 2\/3, -1\/3?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -62\/3*c + 1\/3*c**2 + 961\/3.\nAnswer: (c - 31)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -10 - -2020032413?\nAnswer: 2020032403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -40537 less than 0.04296094?\nAnswer: 40537.04296094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q = 750 + -608. Calculate the least common multiple of q and 8.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1.2 + -3. Let v = 164.9 + -166. Let a = k - v. Round a to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) be the first derivative of 0*n**3 + 0*n**4 + 5\/6*n**6 + 0*n + 2*n**2 + 3 + 0*n**5. What is the second derivative of v(r) wrt r?\nAnswer: 100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fs when two letters picked without replacement from {s: 2, l: 2, a: 1, t: 4, f: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3177 + -3079. Solve u = 15*u - j for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*s**3 - 188*s**3 - 76*s**3.\nAnswer: -260*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u = 42.44 + -0.44. Let m = u - 61. Let w = m + 21. Which is the third smallest value? (a) -1.7 (b) w (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3742 - 2*t - 3742.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2096475, -4192813, -6289151, -8385489?\nAnswer: -10481827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 892 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -72 divided by -8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 3, d: 2, v: 3, c: 2, l: 9, w: 1}. What is prob of picking 2 v, 1 l, and 1 w?\nAnswer: 9\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Product of -29473 and 0.047.\nAnswer: -1385.231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -30*2\/36*2*-12*(-23)\/(-4370)?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:54 PM and 3:06 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let -21\/5*c**2 + 594\/5 - 2073\/5*c = 0. Calculate c.\nAnswer: -99, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b - m = -6*m - 62, -168 = -4*b - m. Let d = -21 + b. What is the smallest common multiple of 1\/(-2) - (-90)\/4 and d?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12*(6342\/76104)\/(((-1)\/(-1))\/28)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 560 and 1050?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1376\/56 - (2\/8)\/(98\/(-168)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand 137*y + 304*y + 54*y + (-y - 3*y + 6*y)*(-1 + 1 + 1) + 2*y + 0 + 0 + 2*y + y - 4*y.\nAnswer: 498*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/2 of a century in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 168722 to the power of 1\/2, to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1218*o*t**3 - 4*o*t - 12*o wrt t?\nAnswer: 7308*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q = 4*h - 11, -3*q + 4*h + 17 = 4. Suppose 4*j - q*c + 4*c - 18 = 0, -28 = -4*j + 4*c. Put -9, j, -5 in increasing order.\nAnswer: -9, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.19 - -4.81. Let u = 39\/376 - -1\/47. Let t = -0.1 - 0.1. Sort b, t, u in descending order.\nAnswer: b, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q**3 + 374*q**2 - 742*q + 370 = 0. Calculate q.\nAnswer: 1, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express (19 + 63 - 24 + (-2 - 2 + 0)*(-4 - 3 + 5))*(4*a - 6*a - 9 - 1) as c + n*a and give c.\nAnswer: -660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4332 and 29940618.\nAnswer: 2166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -900, -898, -896, -894, -892, -890?\nAnswer: -888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -5 - -16 - 600\/30?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 6165 + -6169.157. Let l = a + 4.2. Round l to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.4, 15, 2820\/23, 304?\nAnswer: 304","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 255 = 3*k, 3*i - 39 = -4*k + 114. Suppose -4*g + 8 = z + g, 2*g - 37 = -3*z. Calculate the remainder when i is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 156 a factor of 421200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d = -657 - -362. Let m = 140 + d. Let g = m - -258. What are the prime factors of g?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by -3150?\nAnswer: -1\/1575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*u + 4*r + 27 = 0, -2*r = -4*u + 19 - 25 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 12500 and 4050.\nAnswer: 1012500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Work out 1 * -60527.\nAnswer: -60527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -5*d**2 - 24*d**3 + 3 + 9 + 55*d + 22*d**3 - 9 in the form c*d**2 + o*d**3 + p*d + f and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00207376 to 5 dps.\nAnswer: 0.00207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/((s\/(s*s**(-2)))\/s)*s\/(s**2*s))**(-46)\/((s**(2\/7))**(-44))**(-1\/12) assuming s is positive.\nAnswer: s**(1910\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00005038 to 7 dps.\nAnswer: -0.0000504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 3*y + 10 = -12, -2*u = 4*y - 44. Suppose 0 = -u*x + 274 + 34. What is the smallest common multiple of x and (-64)\/(-3) + (-4)\/(-6)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -80.8289 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17 = -4*w + 41. Suppose -5*t + 14 = -w. Let g be (3\/(-4))\/((-1)\/t). Let o(j) = j**2 - j - 2. Determine o(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -119 + 146. Suppose 42*n - 237 = -d. Solve 3*l - 2 = -2*g + 11, -3*l - n*g = -28 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4555.157 grams in nanograms?\nAnswer: 4555157000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.181 + -0.18099104. Round a to 7 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = 3*k - 43. Let s(c) = c. Give -5*s(n) + x(n).\nAnswer: -2*n - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(4860)*3 - sqrt(4860))\/sqrt(12) + 0.\nAnswer: -90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 804, 845, 886, 927, 968, 1009?\n\"Answer: 41*c + 763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -44*b**3 + 3*b**2 + b - 3. Is q(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -11*z + 80. Let f(m) = 24*m - 154. What is 2*f(d) + 5*p(d)?\nAnswer: -7*d + 92","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) be the second derivative of o**7\/42 - o**6\/30 - o**5\/20 + o**4\/12 + 3900*o. Factor a(g).\nAnswer: g**2*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1bb60 (base 14) to base 6.\nAnswer: -1303544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -925 plus 4?\nAnswer: -921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/4 in 100, 0.01, 0.1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = 7. Let g(d) = 8. Let k(s) = 6*g(s) - 7*p(s). Let z(v) = -4. Let j(c) = 3*k(c) - z(c). Let m(b) = -b + 3 + 1 + 0. What is -5*j(f) + m(f)?\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 195 and 240?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*b**3 - 705642*b + 1815863 wrt b.\nAnswer: 6*b**2 - 705642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 11\/((-484)\/11)*-26.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be (2\/5)\/((-3)\/(-30)). Let d = w + 2. Solve -4*c - 14 = d for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -50*k - 258 - 251 = -59 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -706449, -706444, -706439, -706434, -706429, -706424?\nAnswer: -706419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Product of 17 and -0.402.\nAnswer: -6.834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*b + 9 = 5*c - 2*c, 5*c - 28 = -3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 1143 divide 4209464403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 50, 62, 64, 50, 14, -50, -148?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is ((-131)\/2)\/((-33)\/(-18) - 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -28 - -44. Solve -5*w - 9 = j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) be the first derivative of -s**3\/6 + 6*s + 7. Let c(o) be the first derivative of n(o). Let g = -9 + 4. What is c(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5171.00023385 + -5171. Round y to six dps.\nAnswer: 0.000234","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 559363271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -3 + (1 + 11)*21 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -19 + 28 - (7 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from huuuuhuu. Give prob of sequence uh.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 119573 and 6582.\nAnswer: 717438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9835.\nAnswer: 5, 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 9050573000 rounded to the nearest one million?\nAnswer: 9051000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -2386 + 100162?\nAnswer: 97776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k + 5*b - 33 = 0, -406*k = -408*k - 7*b + 33 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 3519869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 393901 divided by -1.\nAnswer: -393901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = 306 - -408. What are the prime factors of h?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve f - 4*f + 3*d = 18, 3*d - 22 = 4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w*w**0)\/w)**(-17))**(-7) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 330872 and 1488924?\nAnswer: 2977848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 20 + 19 - 43*m + 268*m - 63 + 37 to the form n + z*m and give z.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 0 - 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -5 - -39219?\nAnswer: 39214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1918, -3253, -4018, -4213, -3838, -2893?\nAnswer: -1378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11657.\nAnswer: 11657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 16) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -5*g**2. Let q be (-76)\/(-18) - (-4)\/(-18). Let h(f) = 2*f + 0*f + q*f - 4*f. Give x(h(d)).\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(-6)\/(t**0*t*t)*((t*t\/(t**(-2\/17)*t))\/t)\/t**(3\/4) assuming t is positive.\nAnswer: t**(-587\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-100)\/(-8)*-29*18\/(-1305).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*a**2 + 35*a**3 - 26*a**2 + 339*a**3 - 8*a**2 + 407*a**3.\nAnswer: 781*a**3 - 39*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0355 - -64552.4725?\nAnswer: 64552.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1355127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/((-18)\/3)*24\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -24540 (base 16) in base 4?\nAnswer: -210111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 316 - 1257\/4. Let b(k) = -k + 1. Let r(g) = -6*g + 12. Let x(u) = 5*b(u) - r(u). Let p be x(3). Sort p, h, 2.\nAnswer: p, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(-1\/12)*n**(-21) assuming n is positive.\nAnswer: n**(-253\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3223 is divided by 220?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 54103 is divided by 248.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = y**3 + 14*y**2 - 5*y + 56. Let l be c(-13). What is the greatest common factor of 20 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -0.406856 and -0.08.\nAnswer: -0.486856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 10) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 192\/(-60)*((-7067)\/8022 - 1\/(-6)).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 94 = -110. Suppose -2*i = b - 57, -2*i - 2*b - b = -p. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 16337, 16347, 16357, 16367, 16377, 16387?\nAnswer: 16397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -9, -30, -67, -126, -213, -334, -495, -702?\nAnswer: -961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 30 - 6. Solve 4*b + 0*b - 21 = -q, -q - l = -5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - 3*o - 2*o = 7, l = o + 11. Suppose 2*h + 4 = -l. Let q(f) = -f**3 - 5*f**2 + 17*f + 6. What is the units digit of q(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (59\/(-177))\/(15\/423)*(-140)\/(-56)?\nAnswer: -47\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 9.4 or -28.49324?\nAnswer: 9.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2202 and 10.\nAnswer: 11010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 240076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -189*q**4*y + 1970*q**4 - 199*q**2*y + 1080*q*y wrt q.\nAnswer: -4536*q*y + 47280*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-47 + 47)*6\/(-6). Solve z*r = 47*r - 376 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 21006 - -12?\nAnswer: 21021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-10)\/5 - 14\/(-2). Suppose 6 = m*n - 3*n. Let j(g) = -g**3 + 5*g**2 - g + 3. Let b be j(n). Solve -5*a = b + 7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0 + 2. Let y = 10198\/3 + -71380\/21. Which is the closest to y? (a) -5\/4 (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from abbbebrbebab. Give prob of sequence aeab.\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 870 and 27311910.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = -0*t + 12. Let y = -3 + t. Suppose -4 = -y*w + 8. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -i**2 - 4 + 4 + (-1 - 1 + 0)*(i**2 + 3*i - 3*i) + 48*i**2 + 51*i**2 - 83*i**2 in the form z*i**2 + t + h*i and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 35 or -50?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5 less than 7813352.9?\nAnswer: 7813352.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-12)\/(-8)*(-40)\/(-30). Suppose u + t*r + 4 = 1, 5*u + 2*r = -15. Let g be 18\/14 - 6\/21. Put u, g, 9, 3 in decreasing order.\nAnswer: 9, 3, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) be the second derivative of -v**3\/6 + v**2\/2 + 57*v. Let x(c) = 3*c - 1. Give -5*m(f) - 2*x(f).\nAnswer: -f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 5834.858 centuries to years.\nAnswer: 583485.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 19*r**2 - 30*r**2 + 15*r**2 + (-r + 2*r + 0*r)*(4 - 4 + r + (-1 + 1 + 1)*(4*r + 3*r - 6*r) + r + 0*r + 0*r + 20 - 20 + 4*r).\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 62 or 66?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (55 - 56) + -15 - (-2 - 0 - -1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -l - 2. Let y(q) = q + 26. Let n(z) = 6*z + 148. Let p(a) = -6*n(a) + 34*y(a). Let t be 2 - (1*6 - 1). What is t*p(g) + 5*u(g)?\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -183, -355, -527?\nAnswer: -699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:14 AM and 4:26 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does -99 = -2\/377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = -157 + 187. What is the least common multiple of 9 and ((-15)\/i)\/(3\/(-36))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 438, 880, 1322?\nAnswer: 1764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((y*y\/((y\/y**(3\/2))\/y*y))\/y)\/y)\/((y\/y**(-22)*y)\/y))\/(y\/y**16*y*((y\/(y\/(y\/(y\/y**(-11)))))\/y)\/y) assuming y is positive.\nAnswer: y**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0.23020738 rounded to 4 dps?\nAnswer: 0.2302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*l = 4*l. Let g be 3\/(-4 - (l + -1)). Sort 2, -4, g.\nAnswer: -4, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -18 + 29*l - 235*l - 64*l + 14 - 127*l in the form c + n*l and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2.93*57630.\nAnswer: 168855.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 131.5 rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -101730000 rounded to the nearest 1000000?\nAnswer: -102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -g**3 - 130 - 11*g + 7*g**2 + 74 + 66. What is r(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 896*o - 910*o = -140. Solve 8 = 4*q + 2*z, 4*q = -4*z + 3*z + o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -193 divided by -3?\nAnswer: 193\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -0.22 times -0.3?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = -26 - -17. Let p(d) = -5*d - 18. What is the units digit of p(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -2*z**3 + 64*z**2 + 549*z - 17573. Calculate m(32).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 99, 219, 339?\n\"Answer: 120*n - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = 17*p**2 + 787*p + 55. Calculate x(-46).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 92*v - 20*v - 144 = 0. What is the closest to -1 in -4\/5, -1\/8, v, -2\/41?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 182949 and 8.\nAnswer: 1463592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 37 and 484663.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -0.3 * -0.103\nAnswer: 0.0309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find z such that 2*z**2\/7 - 38*z\/7 - 40\/7 = 0.\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*j - 94 + 19. Suppose 0 = -j*o + 22*o - 22897. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r\/(r\/r**0))\/r*r*r**2)\/(r*r**(-1))**(-10))\/(r**(-1\/2)\/r*r**(-5\/2)*r**(5\/4)*r*r**(-1\/3)) assuming r is positive.\nAnswer: r**(49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4514849, -9029697, -13544545, -18059393, -22574241, -27089089?\nAnswer: -31603937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -22*r + 16. Let a(b) = b - 4. Let i(p) = 10*a(p) - x(p). Let y be i(4). What is the highest common factor of y and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 - (-2938)\/140 - 38346\/1743?\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express (u - 2*u - 3*u + (2*u - 2*u - u)*(-1 + 3 - 3))*(-12*u**3 - 126 + 126) in the form x*u + o*u**2 + a + l*u**3 + v*u**4 and give v.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve o = 18*o + p + 19, o = 2*p + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) be the third derivative of g**9\/56 + 23*g**8\/336 - 89*g**5\/10 + 272*g**2. What is the third derivative of r(d) wrt d?\nAnswer: 1080*d**3 + 1380*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2023794 divided by 18?\nAnswer: 112433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -2*q. Let j(r) = -4*r. Determine 2*j(f) - 5*o(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 660 and 17391?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 68001168 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f = -42 + 15.25. Let y = f + 27. Let x = -0.25 + y. What is the closest to 0.2 in -4, x, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*u**4 + 15*u**2 + 6*u**2 - 2 - 20*u**2 as z*u**4 + w + k*u**2 + t*u + a*u**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 1441 a factor of 90709973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(12)\/(4*sqrt(4)) - (sqrt(36)\/sqrt(12) + -2)) + 6*-5*-6*sqrt(363))*-3)**2.\nAnswer: 71253*sqrt(3) + 1692330579\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 416*v - 20181. Calculate h(48).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f be 46\/10 - (-2)\/5. Let o = 92 - 48. Let k = o + f. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 35.7 + -5.7. Let v = -25 + j. Let x(d) = 3*d**3 - d**2 - d. Let s be x(-1). Which is the third smallest value? (a) v (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2a66 (base 15) in base 9?\nAnswer: 13426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 683227.5 millennia to years.\nAnswer: 683227500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*k + 8*k - 1284. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 2*c - 2368 = -4*q, -1180 = -2*c - 4*q. What is the tens digit of (c\/(-55))\/(6\/(-15))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31102 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j = 2*x - 1416, 6*x + 8 = 2*x. Let s = j + 357. Which is the closest to 0.1? (a) -3\/17 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -78 - -64.9. Let m = d + 13.0999858. Round m to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 72280*f - 144544*f + 72266*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 3320, 3325, 3330, 3335, 3340, 3345?\n\"Answer: 5*o + 3315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 7 (base 9) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -169*v + 649*v - 1154*v + 916*v**3 - 915*v**3 - 2339*v as k*v**3 + h*v**2 + u + z*v and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 226*d - 27239 - 17965 = 101696. Calculate the remainder when d is divided by 92.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 47294324 a multiple of 3984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(2057) - sqrt(17))*-3.\nAnswer: 69*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17 = -3*c + i, 2*c = 4*c + 2*i + 14. Let v = 10 + c. What is the units digit of 2*(v - 3) - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find f, given that -3*f**5 + 1833*f**4 - 97569*f**3 + 746067*f**2 - 650328*f = 0.\nAnswer: 0, 1, 8, 49, 553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j = -4*w + 16, -4*w + 5*j + 7 = -10. Let r(t) = t**w + 0 - 2*t + 3*t**2 - 2*t - 2. What is r(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -258 - -129. Let a(s) = 5*s**2 + 10*s + 9. Let z be a(-4). Let g = q + z. What is g rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.068635 + -27302?\nAnswer: -27301.931365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2299) + -2 + sqrt(2299) + -1 + sqrt(2299) - (sqrt(2299) - sqrt(2299)*1)*-1) + 4 + -4 + sqrt(2299)*-1 + 1 + (sqrt(2299) - sqrt(2299)*1))**2 + -1.\nAnswer: -88*sqrt(19) + 9199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let 95*o**2 - 8855*o + 1860 = 0. Calculate o.\nAnswer: 4\/19, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = 2*p - 3. Let b(u) = 1. What is 4*b(m) - c(m)?\nAnswer: -2*m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yhyyhy. What is prob of picking 2 y and 2 h?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*m - 12*m + 35. Let u(y) = 0 - 5 + 6*y**2 + 0. Let g(p) = -p**2 + 1. Calculate m*g(l) + u(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 790652.1 centuries in millennia?\nAnswer: 79065.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1092)\/(-208))\/((-3)\/4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2, 99, -3, 1, -1573 in descending order.\nAnswer: 99, 1, -0.2, -3, -1573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 3 e when four letters picked without replacement from {l: 4, e: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (6*b + 2 - 2)*(-2*b + 2*b + b**2) - 4*b**3 + 7*b**2 - 7*b**2 to x + m*b**3 + o*b**2 + u*b and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2\/(-11) - 1725\/(-5313). Let b(a) be the second derivative of -1\/42*a**4 - 2\/7*a**2 + k*a**3 + 7*a + 0. Let b(i) = 0. What is i?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 15, z: 4}. Give prob of sequence xxx.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in -974311, -1948568, -2922825?\nAnswer: -3897082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -3*y**2 - y + 13. Let k be w(0). Suppose -24 = -k*f + 795. What is the remainder when 117 is divided by f?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r = 5*b - r + 16, -3*b = -3*r. Let o = 1162 + -1161. What is the second smallest value in b, o, -0.09, 0.2?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 0.8598442 grams?\nAnswer: 859.8442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 889217.7 centimeters in kilometers?\nAnswer: 8.892177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3 take away 24371.944?\nAnswer: -24371.644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 4 + 0)*(3*k - 4*k + 2*k)*(-3 + 1 + 3).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out 25.228 - 1736363.26.\nAnswer: -1736338.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out 185 - -3013.\nAnswer: 3198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:41 AM and 8:59 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let -r**4\/3 + 25*r**3\/3 - 28*r**2 - 1372*r\/3 + 5488\/3 = 0. Calculate r.\nAnswer: -7, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) be the first derivative of s**7\/420 - s**4\/24 + 2*s**3\/3 + 1. Let r(n) be the third derivative of x(n). What is the first derivative of r(z) wrt z?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 241851 is divided by 346.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 2*r**3 + 99*r + 72. Determine l(0).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 8187 or 122804\/15?\nAnswer: 8187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = 37287 + -8546. List the prime factors of t.\nAnswer: 41, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 68*h + 10 = 63*h, u - 5*h - 18 = 0. Let q be ((-32)\/18)\/((-14)\/(-12)). Are q and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 551439 is divided by 105?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w be (364\/(-78))\/(2\/6). Let r be 1*3*w\/315. Let k = -5 - -3. Which is the second biggest value? (a) -8 (b) r (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -w**2 - 5*w - 3. Let u be d(-3). Suppose -6 = -u*c - 0*c. Suppose -5*a = 4*b - 67, a + c*a + 21 = b. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -f**3 - 5*f**2 + 15*f + 10. Let w be y(-7). Suppose w*b + 5541 = 5*t, t = 3*t - b - 2217. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 24996 is divided by 2724?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Total of -1462 and 1.1.\nAnswer: -1460.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -19.3, 4, -3, -2\/11?\nAnswer: -19.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 1.064074nm to meters.\nAnswer: 0.000000001064074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 184*w**3 - 354*w**3 - 1098*w**3 - 51*w**3.\nAnswer: -1319*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of -7 - -16 - -262*3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (6\/(-15) + (-38)\/(-45))\/((-27450)\/(-2025))?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (0 + sqrt(76))**2 + (sqrt(1900)*3 + sqrt(1900))**2 + -1.\nAnswer: 30474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 2221420 (base 5) to base 13.\nAnswer: 1498b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 20203041 - 10?\nAnswer: 20203031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 20485 and 2125?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1949 + 1951. Let c(g) be the first derivative of -3*g - 3\/2*g**4 + 0*g**i - 6 + 0*g**3. What is the derivative of c(f) wrt f?\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-495)\/11)\/(-9))\/(5110\/28)?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -3098, -6267, -9510, -12827, -16218, -19683, -23222?\n\"Answer: -37*i**2 - 3058*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m\/(m**(-1\/21)*m)*m**5)**(-20\/9)*(m*(m*m*(m**(-1)\/m)\/m)\/m)**18*(m*m**2\/m*m)**(-1\/20) assuming m is positive.\nAnswer: m**(-111007\/3780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 13, y: 2, m: 3}. Give prob of picking 2 m.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/((1\/(-10))\/((-1)\/2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = -0*y + 5*y. Suppose 4*f - 71 + y = 0. Suppose h + 3*p + f = 83, 0 = -3*p. What is the remainder when h is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3050573 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 661862615 to the nearest integer?\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 49577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 103211 is divided by 51576?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 372.0512mg to grams.\nAnswer: 0.3720512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 25*o = -186 + 261 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000000468 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000252 to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = q**3 - 12*q**2 - 36*q - 139. Let j be v(15). Let y = 7 - 4. Sort -3, y, j, -10.\nAnswer: -10, j, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c = 3*c - 9822. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 931919787 to the nearest integer?\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22*i**2 - 8*i + 4*i + 251*i + 1 - 46*i**2 + 26*i**2.\nAnswer: 2*i**2 + 247*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 100 - 1667*a - 1682*a + 3351*a.\nAnswer: 2*a + 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*r - 5*p + 10, -r = 3*r + p - 2. What is the first derivative of 3 - 25 + 4*g**4 + r*g**4 - 5*g**4 wrt g?\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 481 a factor of 2898113504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -36 + 27473752?\nAnswer: 27473714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 3*d. Let u(c) = -5*c**2. Let n(x) = x**2. Let b(h) = 6*n(h) + u(h). Give i(b(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -175155, -175028, -174901, -174774, -174647, -174520?\n\"Answer: 127*s - 175282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 159*x**3 + x**2 + 3*x - 3. Does 20 divide y(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = 3*b - 92. Let r be n(-9). Let c = r - -119. Solve 4*o = -c*o - 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 10 - 43304?\nAnswer: -43244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*w + 2*w - 5*w + (-5*w + 2*w + w)*(-3 + 3 + 1) - 3*w + w + 3*w - 13*w + w - w to s*w + b and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is j in 75272*j**5 - 31473008*j**4\/3 + 1086395246*j**3\/3 + 246144390*j**2 - 1634584000*j\/3 + 499849000\/3 = 0?\nAnswer: -5\/3, 101\/194, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000032727 rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-10)\/(-7) + 72\/(-168))\/1. Sort -1, -8, w, -1\/3.\nAnswer: -8, -1, -1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) be the third derivative of -i**4\/12 - 5*i**2. Let d = -5 - -7. Let q(r) = 3*r + d*r**2 - 3*r. What is v(q(x))?\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 7*c + 94. Let y be o(-10). Let r be (9\/6 - 0) + (-36)\/y. Solve -15 = -2*f - 5*u, 2*f - 3*u + 14 - 5 = r for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 85234 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*n = -79*n - 704. Which is the fourth biggest value? (a) n (b) 0 (c) -2\/19 (d) 5 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(91)*1*1)\/(sqrt(343)*2) + (sqrt(13) + (sqrt(13) - (2*sqrt(13) + 2)) + -5*(sqrt(91)\/sqrt(7) + sqrt(13)))**2.\nAnswer: 561*sqrt(13)\/14 + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**(-1)\/g)\/g)**34*(g\/(g\/g**(2\/7)))\/g**2*((g\/(g*g\/g**0))**37)**(3\/16) assuming g is positive.\nAnswer: g**(-12393\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -124*h - 407. Is o(-33) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1710\/(-72))\/19 + 282\/168.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (57 + -53 - (-1 - -8)) + (12 - 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*b - 3*b + 3*g + 20, -5*b - 4*g = 15. What is the tens digit of b\/(2\/(-176)*-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-6)\/9)\/(1 - 0). Let b = -4.6 + 4.4. Let c = -47\/2 + 24. What is the nearest to c in 1, b, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from maamwaawaaaaa. Give prob of sequence wa.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 4, 126, -1 in descending order.\nAnswer: 126, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1450 = -16*a - 13*a + 1653. Solve -27*b - 1 = a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 21*d**4 - 1803*d**3 - 276*d**2 + 1548*d.\nAnswer: 3*d*(d - 86)*(d + 1)*(7*d - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 25680397*f*t + 19332932*f wrt t?\nAnswer: 25680397*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 3, s: 2, o: 4, m: 1, e: 3, b: 3}. What is prob of picking 2 b and 1 o?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -4*o - 8 + 2*o**2 + 5*o**2 + 2. Is 15 a factor of w(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(500) - (-2 + (1 + sqrt(500))**2) - sqrt(500)) + -5 - (sqrt(180)\/sqrt(4) + sqrt(80)*2)**2.\nAnswer: -1109 - 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -3 - -19582089?\nAnswer: 19582086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -1\/3 (b) 4 (c) 601.2 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -f - 11. Let v be l(11). Let d = v + 18. Which is the second smallest value? (a) 0 (b) -0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*c + 48 = 14*c. What is the remainder when 14 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -35\/152896 and 55\/84895504.\nAnswer: 339582016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 10294000 and 2573500?\nAnswer: 10294000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 + 14 = 4*f. Suppose f*h = 5*n - 133 - 320, 0 = 4*n + 4*h - 388. List the prime factors of n.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -200*a + 570*a - 190*a - 182*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 3, 21, 57, 111, 183, 273?\n\"Answer: 9*x**2 - 9*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 6*n. Let a(q) = -q + 1. Let x(g) = -2*a(g) - d(g). Let z(f) = 2*f - 11. Let k be z(8). Let l(j) = 9*j + 5. What is k*x(h) + 2*l(h)?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find f, given that 5*f**3 - 105*f**2 - 20*f + 420 = 0.\nAnswer: -2, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = g + 4*q + 4, 5*q = 5*g - 50. Does 13 divide 6 - g - -9 - -267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*k**3 + k**3 - k**3)*((-14 - 11 + 9)*(12*k + 3*k - 5*k) + 4*k - 3*k - 3*k).\nAnswer: 324*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 14*s. Suppose -3*v + 2*p = -1 - 1, 3*p = v + 4. Let f(c) = -3*c + c - v*c + 2*c. Give z(f(t)).\nAnswer: -28*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/15 of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lllllrlrrllrllllll. What is prob of sequence lr?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Subtract 831.31336663 from -41.\nAnswer: -872.31336663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-4)\/22 + 54\/(-66) + 1. Suppose n = -4*q - 3*t + 2008, -3*t - 1179 = -4*q + 805. Is q a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find s, given that -4*s**5 + 128737568*s**4 - 1035834573459252*s**3 - 8286683153291224*s**2 - 13465862071254400*s - 6215013620160000 = 0.\nAnswer: -6, -1, 16092200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 34090 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = o**2 + 4*o - 2. Let a be n(-5). Let t(s) = -28*s + 2248. Let w be t(80). Sort w, a, -1.\nAnswer: -1, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33*l - 57668 + 57260 = 9*l. Solve 4*d = -5*m - l, -25 = 4*m + m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (1456\/48 + -27)*(-6)\/(-25). Factor 36\/5 + y*t**2 + 24\/5*t.\nAnswer: 4*(t + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 27 - -258?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 0 + 0 + 0 - 4 + 3 + (-6 + 3 + 2)*(0 + 5 - 3) + 2 + 4 - 3)*(-10 - 10 + 23 + y**3).\nAnswer: y**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2175 and 129447.\nAnswer: 93849075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 2*w**2. Let m(n) = 4*n - 19877. What is z(m(a))?\nAnswer: 32*a**2 - 318032*a + 790190258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -t - 1882 - 125 + 1338*t**2 - 1063*t**2 wrt t.\nAnswer: 550*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (o - 2*o - o)*(-3 - 1 + 6) - o - 107 + 103 + 3*o + 2*o + 0*o - o + (2*o - 2*o - 2*o)*(4 - 2 + 0) - 4*o + 5*o - 3*o - 2*o - o + o.\nAnswer: -9*o - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find f such that 51 - 21\/4*f**2 + 1\/4*f**3 + 14*f = 0.\nAnswer: -2, 6, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hs when two letters picked without replacement from {h: 1, j: 2, a: 1, s: 1, z: 1, w: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = r**3 + r**2 - r. Let u(m) = -4*m**2 + 3*m + 3. Let v(i) = 8*i - 67. Let s = 139 - 131. Let o be v(s). Calculate o*d(x) - u(x).\nAnswer: -3*x**3 + x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 9 times 507\nAnswer: 4563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = f**3 + 9*f**2 + 14. What is the units digit of u(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 3*c**2 + c. What is w(-4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.3 + 0.4. Let m = 1146 + -1143. What is the smallest value in -1, m, b, -1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 183887 divided by -1?\nAnswer: -183887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 87 - 12 = 0. What are the prime factors of ((-5)\/r)\/((-1)\/33)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6856 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (16 - 16 + 33)*(2 - 2 + 1)*(-5*z + 5*z - 1 - 2*z**2).\nAnswer: -66*z**2 - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -y + 2. Let g(w) = 1. Let f(i) = i + 17. Let a be f(-16). Let z = -10 + 9. What is a*s(q) + z*g(q)?\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 165 minutes after 1:50 PM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/3 in 5, -1\/10, 2, -248, -1?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -71\/54 and 65\/474.\nAnswer: 4266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -19\/402336 and -121\/120.\nAnswer: 2011680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is (-18)\/(-18)*5\/470*-4?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-12)\/10*(-4)\/12.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 376803 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1343394*z**4 + 3*z**3 + 704*z**2 + 67?\nAnswer: 32241456*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l be 0\/((-2)\/(-2) - 0). Let d be (l + -192)*(-2)\/(-3). Is 8\/(-4) + d\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-16268)\/(-42))\/83*(-6)\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g*g*(g**(-6)*g)\/g*g)\/(g*g\/(g\/(g\/g**(1\/4)*g*g))*g)*g**(-1\/2)\/((g*g**(3\/8)*g)\/g))**(-24) assuming g is positive.\nAnswer: g**231","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide -2 by 27246.\nAnswer: -1\/13623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -t**2 + 38. Let l be c(0). Let y(j) = -j**3 + 6*j**2 - 2*j + 4. Let d be y(5). Suppose 3*x - l - d = 0. Is 19 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1\/3, -2.8, -22, 10\/9, 2\/13?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -10*((-280)\/(-25))\/14\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = -125 - -122. Calculate the remainder when 104 is divided by d\/(-7) + (-1875)\/(-35).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 3212, -259, 3 in decreasing order.\nAnswer: 3212, 3, 0, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 160694472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 152, 121, 52, -61, -224, -443?\nAnswer: -724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -x**3 - 6*x**2 + 7*x. Let o be u(-7). What is the remainder when 82 is divided by 21*(o + 3 + -2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -339330 = -4357*l + 4342*l. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2561*i - 4*y = -2557*i - 12, -7*y + 33 = 3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 2 h when three letters picked without replacement from {o: 5, q: 12, h: 2}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3446521?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*y - 2*y - 2*y + (y + 1 - 1 + (1 + 5 - 4)*(-2*y - 1 + 1) + 0*y - 4*y + 3*y)*(4 - 9 - 3).\nAnswer: 26*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -2327.301, -28, -5 in increasing order.\nAnswer: -2327.301, -28, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 122, 253, 346, 383, 346, 217, -22?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -3*l**4 - 27*l - 85. Let x(j) = -8*j**4 - 54*j - 171. Let h(u) = 5*p(u) - 2*x(u). Differentiate h(n) with respect to n.\nAnswer: 4*n**3 - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -23\/415 (b) -1\/9 (c) 0.2 (d) 5\/3 (e) 0.05 (f) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 5159 and 14995337?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -70*i - 198. Let l = -655 + 651. What is the tens digit of p(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 330 a factor of 55440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -6 + -1 + (-80 - -83)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 96916?\nAnswer: 2, 24229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = 7 + 0*m + 6*m - 37 + 30. Let r(z) = -71*z**2 + 2*z. Calculate r(w(a)).\nAnswer: -2556*a**2 + 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**12\/i*i**(-9))\/(i*i*i**5)**3)**(-49) assuming i is positive.\nAnswer: i**931","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Let i be (152\/(-13))\/2 - (-2)\/(-13). Is (-1826)\/(-10) - -1*i\/(-15) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 72 and 19359.\nAnswer: 154872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -16 - ((-74730)\/100)\/47.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n - 4 = -0. Let z be (2 - (-2 - -4))*n. Suppose -k - 4*k - 2*s = -33, z = -2*k - 2*s + 18. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*k - 26 = -2*q, -3*q + 86 = 12*k - 55*k - 24 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 29, 12, 3 in decreasing order.\nAnswer: 29, 12, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = 25 - 13. Suppose -4*b - b + 4*i = 476, -5*i = -4*b - 379. Let q = -12 - b. What is the highest common factor of o and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 60\/70*42\/9. Let l be ((-14)\/a)\/7 + 0. Let q = -7 - -7.09. Which is greater: q or l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1792191 - 1792191 - 5910*d to the form a + k*d and give k.\nAnswer: -5910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = 371\/66 + -38\/11. Let l(z) be the second derivative of -3*z + x*z**3 - 3*z**2 + 0. Find the first derivative of l(f) wrt f.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -7 + 6.7. Let h = 3.93 - -0.07. Let v = 0.039 + 0.161. What is the third smallest value in h, v, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -t**3*v - 71*t**3 - 25*t**2*v - 18*t**2 + 874*t*v + 30660*v wrt t?\nAnswer: -6*t*v - 426*t - 50*v - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + (-62 - 85) + 106.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = -9 - -16. Let i(p) = 2*p**3 + 4*p - 4. Let l(w) = -4*w**3 - w**2 - 7*w + 7. Calculate s*i(c) + 4*l(c).\nAnswer: -2*c**3 - 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*c + h = 14*c - 1054, -5*c = -5*h - 1760. List the prime factors of c.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 4, r: 15}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 433 less than 0.065002876?\nAnswer: -432.934997124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29*o = -14*o - 165. Let l(z) = 4*z - z - 7*z - 9 + 5*z. Let f be l(o). Is f greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.0467? (a) 4\/9 (b) -2 (c) -13 (d) 2 (e) 0.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/6*(-346)\/(-692)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 6*r**2 - r**2 + 5*r**2 + 6*r**2. Let y(w) = w**2. What is y(q(f))?\nAnswer: 256*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = c**3 + 2*c**2 - 1. Let u be z(-1). Suppose 3*m + 237 = 6*m. Suppose -y + 0*y + m = u. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -59\/117 and -94\/5115.\nAnswer: 199485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f be (5 - 1)\/(1*2). Let k(g) = 2*g**f + 3*g - g**2 - 2*g. Let d be k(2). Solve r = 2*j + 4, 5*r + d = 2*j - 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -129 + 3?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*a + 63 = 18*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (-10)\/(-8910)*-27*-18?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = f**3 - 5*f**2 - 4*f - 6. Let h be t(6). Suppose -65*n = -63*n - h. Factor -4\/5*c**n + 8\/5*c - 8\/5 - 2\/5*c**4 + 6\/5*c**2.\nAnswer: -2*(c - 1)**2*(c + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -19.7 + 39.8. Let n = b - 2.1. Let s = n - 0.5. What is s rounded to zero dps?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 36336 is divided by 6671?\nAnswer: 2981","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 18 + -1?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (-2450)\/245*(-1)\/85\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -5*h**4 + 5*h**3 - 5*h**2. Let d(j) = -4*j**4 + 6*j**3 - 6*j**2 - j. Let y(x) = -5*d(x) + 6*p(x). What is the second derivative of y(z) wrt z?\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*(-1)\/21*-2.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*c - 5*c + 3*r - 19, 2*c - 4*r = -22 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 20356456 is divided by 155.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bbbibibbbbbbbbi. What is prob of sequence ib?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ctbtxb. What is prob of sequence bxx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = 5, -3*q + 29 = k + 2*q. Suppose 5*m - 60 = -k*t + m, 2*t - 30 = 5*m. Suppose 4*x + 0*x = 8. Solve -7*c + x*c = t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -411*j - 3287. Give m(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 7076317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) be the first derivative of -g**4\/4 - 2*g**3 + 5*g**2\/2 + g - 45. Determine a(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = g**3 + 4*g**2 + g + 2. Let m be -2 - (2 - -1) - -3. Is i(m) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of ((-6 - 1) + 22)*(-13164)\/(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = y**2 - 6*y + 5. Let d = -84 - 4. Let u be d\/(-16) + 1\/(-2). Suppose -u - 7 = -2*a. What is n(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -3*c**3 - 233*c**2 + 3*c. Let k(m) = 8*m**3 + 700*m**2 - 8*m. Determine 14*h(l) + 5*k(l).\nAnswer: -2*l**3 + 238*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = -5625 - -5692. Solve -50*n = -r*n - 102 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -37 + 61. Let j = 48 - f. What is the highest common factor of j and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17345558?\nAnswer: 2, 8672779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -2754262 - 44?\nAnswer: -2754326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o = 6*o - 16. Suppose -s - 4 - o = 0. Let y = s + 17. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 582426?\nAnswer: 2, 3, 13, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: What is next in -247, -258, -291, -358, -471?\nAnswer: -642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) be the first derivative of f**4\/4 + f**3\/3 - 2*f**2 - 33. Calculate r(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 539*s**2 - 4. Let v be j(6). Suppose -2*f - v = -0*f. Round f to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 149*h + 142*h - 3201 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 5.11 (b) -6 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 9376456 and 3144?\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 15 - 24. Let u(j) = 2*j**2 + 3*j + 5. Let q(r) = 4*r**2 + 7*r + 11. Suppose -2*b - 3*b + 5*f = -35, -b - 4*f - 8 = 0. Determine b*q(g) + v*u(g).\nAnswer: -2*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 18528 and 8848278?\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -18302, -73240, -164808, -293006, -457834, -659292?\n\"Answer: -18315*m**2 + 7*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3\/442 - 209\/1768. Which is the nearest to -15? (a) p (b) -3\/2 (c) -1\/10 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z = -3*o - 1257, -3*o - 5028 = 3*z - 7*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 26331, 210947, 712045, 1687869, 3296663, 5696671, 9046137, 13503305?\nAnswer: 19226419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -f**3 - 6*f**2 - 4. Suppose d - 49 + 19 = 5*n, 6 = -n - 3*d. Let p be q(n). Let s = 9 + p. Solve s*l - 4*l = 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -z - 5. Let c = -7 + 1. Let g(p) = -p + 8. Let t(o) = -o - 1. Let q(v) = g(v) - 3*t(v). Let d(w) = c*q(w) - 13*a(w). Determine d(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {g: 4, o: 6, z: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in -33, -0.1, 4, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 15*b**3 + b**2 - b - 1. Let n(u) = u**3 + 15*u**2 + 12*u - 29. Let q be n(-14). Determine w(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -5*p**2 - 43*p + 68. What is t(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -4 divided by 50\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -497996, 0, 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) be the first derivative of -3*i**5\/5 + 183*i**4\/4 - 174*i**3 - 13069. Factor q(j).\nAnswer: -3*j**2*(j - 58)*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 548 is divided by 62?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide 313 by -41.\nAnswer: -313\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -2179*v + 270195. Give p(124).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 40\/24 - (-2)\/((-12)\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand f**3 + 2*f**3 - 4*f**3 - 1286*f**2 + 124*f**3 + 1286*f**2 + (3 - 3 + 2*f**2)*(f - 2 + 2) + 2*f**3 - f + f - 5*f**3 + 3*f**3 - f**3.\nAnswer: 124*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*z + 3*o + 17, -13 = -3*z - 2*o - 25. Let r be (-21 + 14)*z\/35. Find d, given that 0 + r*d + 12\/5*d**4 + 3\/5*d**2 - 17\/5*d**3 = 0.\nAnswer: -1\/4, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 2, h: 2}. What is prob of sequence hcc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 27553658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = -1, 3*n - 3*j = 63 - 18. Suppose -2*z = 3*m - n, m + 6 = 5*z - 0*m. What is the second derivative of 41*d - 6*d + 22*d**5 + 7*d**5 + z*d**5 wrt d?\nAnswer: 620*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 92063155?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z = -18830 - -18949. What is the highest common factor of z and 323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 + (-16 - -2) + (84 - 52).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = 144*f**2 + 48*f - 160. List the prime factors of p(3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -1 + 157d6d9?\nAnswer: 157d6d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {q: 6, m: 12}.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -5*m + 3. Let l(c) = 9*c - 7. Let k(s) = 5*b(s) + 3*l(s). Let n(z) be the second derivative of z**2\/2 - 27*z. Calculate -k(h) - 5*n(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - (-4 - 8) - 102) + 22.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 453 divide 659658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 741\/(-195) + (-12)\/(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1713 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -42052 or -42047?\nAnswer: -42052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -6*h + 18. Let c be r(3). Let b be (-12)\/(-9) + c - 144\/27. What is the hundreds digit of (-2232)\/(-16) + (-6)\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3600167?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -69, -94, -133, -192, -277, -394, -549, -748?\n\"Answer: -j**3 - j**2 - 15*j - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 5, t: 3, d: 2}. Give prob of picking 3 l.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12290 divided by -1.\nAnswer: 12290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 581 minutes before 12:55 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 705 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) be the third derivative of 5*j**4\/24 - 3*j**3\/2 + 5*j**2. What is the derivative of v(n) wrt n?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*((sqrt(972)*-4*-2)**2 + (-2 + 2 + sqrt(972))**2 + 1 + -3).\nAnswer: 379068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(104)\/(sqrt(8)*-3) - (sqrt(1872) + -2).\nAnswer: -37*sqrt(13)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand h**2 - h**2 + 2*h**3 + 2*h**3 + 0*h + 0*h + (5*h - 4*h + 0*h)*(-3*h**2 + 4*h**2 + 0*h**2).\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/11, 0.7, -1\/5, 6.\nAnswer: -1\/5, 2\/11, 0.7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -0.4787 to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4? (a) -0.5 (b) -2\/7 (c) -6 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1193306413 a multiple of 354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 5160049362?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 84 and 370236?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1095 is divided by 272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = 3*t - 2. Determine o(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2.11 - -2.11. Is r at least 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/(-16) + 64\/((-7839232)\/(-27359)).\nAnswer: 6\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2.8 - -0.8. Let p = 2.1 + v. Which is the second biggest value? (a) p (b) -3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-57)\/(-6)*2 + 1. What is the units digit of (4\/5)\/(1\/l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (105\/28)\/(6\/(-16))*(-4)\/(-4)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express (807 - 3*g**3 - 807)*(-g - g + 3*g)*(-4 + 1 + 1) in the form c*g + b + q*g**3 + i*g**4 + w*g**2 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(-2\/5)\/h*h**(-10\/7))\/(((h\/(h**(2\/35)\/h))\/h*h)\/(h*(((h**0*h)\/h)\/h)\/h)))**39 assuming h is positive.\nAnswer: h**(-7878\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 11431230 (base 6) to base 10\nAnswer: 361890","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 92543878 to the nearest integer?\nAnswer: 9620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*j + 3*u - 158 = 0, 30*u = -24*j + 23*j + 1529 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -2*c - 2. Let y(v) = -v - 1. Determine -3*a(z) + 7*y(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -1334*u - 6. Let i(w) = 442*w + 2. Determine -8*i(a) - 3*l(a).\nAnswer: 466*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -12, -5, -0.8, -1\/72?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -0.28897+3630552597\nAnswer: 3630552596.71103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = m**2 - 9. Let o be l(4). Let b(j) = 5*j - 30. Let n be b(o). Suppose n*f - 20 = -d, -4 = -f - 4*d + 2*d. Solve h = -0 + f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, 11, -4, -5, 5 in decreasing order.\nAnswer: 11, 6, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*t + 39 - 29. Suppose -3*s - o = -4*s - 9, -4*s - o = 21. Let n be (t\/s)\/((-2)\/(-18))*-11. Calculate the greatest common factor of n and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (3 - 2)*1*3. Suppose -k*q - 28 = -31. Calculate the lowest common multiple of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1865062 to the power of 1\/2, to the nearest integer?\nAnswer: 1366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let 21*u**4 - 230*u**3 + 491*u**2 + 46*u - 48 = 0. What is u?\nAnswer: -1\/3, 2\/7, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r = 4*m - 20, 2*m - m = -5*r - 25. Let q = m + 10. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from okooqoyqqy. Give prob of sequence kq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 879*v = -4614 - 54477 - 13462 - 30290 for v.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -69 (b) -20 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 16049, 31990, 47931, 63872?\nAnswer: 79813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -22*z = -14 + 36 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 2*p - 7. Let u(j) = 9*j - 36. Let x(m) = 4*u(m) - 21*y(m). Suppose -32*k - 8 = -36*k. Give x(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 7624 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*f**3 + 177*f**2 + 174*f**2 + 5*f**3.\nAnswer: -2*f**3 + 351*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) be the second derivative of -1\/126*p**7 - 1\/20*p**5 + 2\/9*p**3 + 1\/9*p**4 + 0 + 0*p**2 - 212*p - 2\/45*p**6. Solve j(l) = 0 for l.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1548942004.\nAnswer: 2, 191, 2027411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -6*j**3 + 7*j**2 + 8*j - 13. Let x(u) = 5*u**3 - 6*u**2 - 7*u + 12. Let w(k) = 4*n(k) + 5*x(k). What is the least common multiple of 22 and w(4)?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 77 divide 5720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -q**3 - 73*q - 603. Calculate p(-8).\nAnswer: 493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 2*z**3 - 53*z**2 - 34*z - 2. Let a be j(27). Let d = -183 - a. Solve 3 = r + d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -v + 11. Calculate y(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is a in -3\/7*a**2 - 51\/7 + 54\/7*a = 0?\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 - 3 = -5*y. Let n(w) = y*w - 12*w + 5*w. Determine n(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) be the first derivative of 10*v + 0*v**2 + 1\/3*v**3 + 1. Let o be g(0). What is the highest common divisor of o and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*w - k + 54 = 60, 9 = 5*w - k for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 52*a**2*m**3 - 17*a**2*m**2 + 48*a**2*m + 11773*a*m**3 - 13*a wrt a.\nAnswer: 104*m**3 - 34*m**2 + 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*k + 2*i + 6 = 0, 930*i = -k + 935*i + 26 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 27*w - 4. What is d(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 2313262378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 8*h. Let t be n(3). Let d(k) = 2*k**2 - 2*k. Let x be d(2). Suppose 3*a - x*a + 3 = 0. Calculate the greatest common factor of a and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -304*v - 340*v + 74*v - 719357 + 719357.\nAnswer: -570*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/7? (a) -15 (b) -0.5 (c) -1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -9933*r**5 + 2167*r**2 - 48*r + 18. Let y(h) = h**2 - 8*h + 3. Let q(v) = -g(v) + 6*y(v). What is the third derivative of q(b) wrt b?\nAnswer: 595980*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 47475 divided by -3?\nAnswer: -15825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -22*v - 287 = 19*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 170 is divided by 90?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1514, -1763, -2196, -2831, -3686, -4779, -6128?\nAnswer: -7751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*i - 119 = -3*l, -80823 + 80974 = 3*l - 4*i for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*-2*sqrt(17) + (sqrt(612)*1)**2 + sqrt(612) - ((sqrt(102) - 1*sqrt(102))*3)\/sqrt(6).\nAnswer: 18*sqrt(17) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = m**2 + m + 1. Let v(w) = 16*w**2 + 5*w + 5. What is 5*b(h) - v(h)?\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = -136 + 137. Let n = 2\/11 - 51\/220. Which is smaller: n or v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-40 + -4)\/(-4) + 1*3. Let p = -21 + 31. Let j(v) = i - 24 - v**2 + p. Let n(m) = m**2. Determine n(j(r)).\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l = 833386\/71621 - -2\/6511. What is c in 224\/11*c - 28\/11*c**3 + 6*c**2 + l + 2\/11*c**4 = 0?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Let k(l) = 80685*l - 2985322. What is k(37)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -79807, -79816, -79847, -79912, -80023, -80192?\nAnswer: -80431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 3 - -6b?\nAnswer: 6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4 + -3. Let h be (d*-2 + 2)\/2. Suppose h*n = -n + 2. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = 969*a**3 + 6*a**2 - 40*a + 1. What is the hundreds digit of i(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 140 and 139160?\nAnswer: 139160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 4.47084 nanometers in micrometers?\nAnswer: 0.00447084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1\/2 (b) -1\/5 (c) 9 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 143 + (-6 - (52 + (-17 - -3))).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -203 + 113. Let i = 258 + -89. Let p = i + f. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 159897669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1369*l + 1369*l - 15*l**3.\nAnswer: -15*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1011010222 + -21101021?\nAnswer: -1102112020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*j + 9*j - 19 = 0. Let b be j\/(-4) + 30\/(-40). Suppose -5*y + 78 = b*p, -5*p + 23 = 2*y - 15. Calculate the remainder when y is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -10100000100110 (base 2) to base 12\nAnswer: -5b46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 8, l: 2}. Give prob of sequence lx.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = 2*o - 16. Let c = 449 + -904. Let i = c + 463. What is v(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -60, 3.5, -1\/4, 16, 2\/7 in ascending order.\nAnswer: -60, -1\/4, 2\/7, 3.5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1814.\nAnswer: 2, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1\/(23\/345*(-3)\/(-2)). Solve -8*w + r = -30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 11*m**2 + 6*m - 4. Let r(k) = k**2 + k - 1. What is -6*r(f) + x(f)?\nAnswer: 5*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.1 - 1.6. Let o = a + 1.7. Sort o, 6, 0.3 in ascending order.\nAnswer: o, 0.3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 7*n - 115 = 3*w, 0 = 2*w + 10. Let u(r) = -6*r + 154. Let t be u(n). Solve 3*i = t*l - 4 + 6, i - 2*l = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1 + 3. Let u be (20\/4)\/(2 - 1). Solve u*a + 7 = -h*y - 4, -y - 5 = 2*a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(102)*-1 + sqrt(102))*-5)\/(sqrt(216) - (sqrt(216) - (sqrt(216) + sqrt(216)*2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 8180415 - -15?\nAnswer: 8180431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -10210 (base 3) to base 16.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -123.6 - 100.4. What is the second biggest value in 0, o, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 1, a: 1, r: 1}. What is prob of sequence arq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.021 + -0.279. Put -3\/8, 1, -0.13, l in descending order.\nAnswer: 1, -0.13, l, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 45.942583 rounded to two decimal places?\nAnswer: 45.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 2127557 (base 8) to base 9\nAnswer: 1056713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 5716508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g = -0*g. Suppose 0 = 4*m - g*d + 4*d + 16, 0 = -3*m + 5*d + 28. Let i be (-2 + 1)\/(m - 0). What is the smallest value in -0.1, -1\/9, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 8\/25 and (-4)\/(-3) - (1 - (-7374)\/16020).\nAnswer: 4450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*h = -9*h - 240. Let b(n) = 27*n**3 - n**2 + 1. Let t be b(-1). Calculate the smallest common multiple of (t\/4)\/((-15)\/h) and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/13, -1, -103 in decreasing order.\nAnswer: -1\/13, -1, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((1*sqrt(120) + sqrt(120) - sqrt(120))*3)\/(sqrt(8) + sqrt(1152)*1 - sqrt(8) - sqrt(8)))\/(((sqrt(320) - (sqrt(320)*2 + sqrt(320)))*-6 + sqrt(320))*-6).\nAnswer: -sqrt(3)\/2288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 887 + -1a?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 22, 11, -4, 5 in decreasing order.\nAnswer: 22, 11, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -246, -287, -322, -345, -350, -331, -282?\n\"Answer: z**3 - 3*z**2 - 39*z - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 100 - 15885.9.\nAnswer: -15785.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1687895 to the nearest integer?\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 288776 and 577552.\nAnswer: 577552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-2)\/(-5) + (-638)\/120 and -163\/42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 254\/9 less than or equal to 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 35779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(0 + ((sqrt(320) - -1*((sqrt(320) - 1*sqrt(320)) + sqrt(320) + sqrt(320))) + sqrt(320))*-2)**2.\nAnswer: -122880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -4*d**2 - 596*d + 35. Give m(-149).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 1, l: 1, p: 1, d: 1, w: 2, x: 2}. Give prob of picking 1 p and 1 l.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -94392.8 rounded to the nearest 100?\nAnswer: -94400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -4 (b) -3.7 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 185027.7114ns to weeks.\nAnswer: 0.0000000003059320625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = 2*k**3 - 8*k**2 + 2*k - 8. What are the prime factors of x(6)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fsyyssffsff. What is prob of sequence ysfy?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -1194 take away 4060526.301?\nAnswer: -4061720.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 10\/659 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 608, 1213, 1818, 2423?\n\"Answer: 605*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t = -a - 8, -32*a - 37 = -29*a + 2*t. Let r = 17 + -12. Let n = r - a. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 18*v - 13*v + 101 - 6*v - 9*v to w + s*v and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Let x = -51 + 32. Let q = x - -7. Let h = 7 + q. What is the closest to -1 in 1\/4, h, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 h and 1 p when three letters picked without replacement from {h: 1, k: 4, c: 6, p: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*h - 11*h + 2810 = 0. Find the common denominator of 1\/(-3) + h\/150 and 22\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3362594 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 2045330 divided by 409066\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.5 and -17.08.\nAnswer: -16.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = 424 - 21. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -i**3 + 27*i**2 - 744*i + 4735. Calculate d(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 135, 143, 153, 165, 179, 195?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*a + 0*a + 3*a)*((2 - 2 - a)*(0 - a + 0) + a**2 - 3*a**2 + 4*a**2) - a**3 - a**3 - 2*a**3 to the form i + w*a + o*a**3 + k*a**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -77 * 0.55\nAnswer: -42.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = -476656 + 476658. Factor z + 9\/5*z**n + 3\/5*z**3 - 1\/5*z**4 + 0.\nAnswer: -z*(z - 5)*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*w**2\/3 - 14937470*w + 33469201500135 = 0 for w.\nAnswer: 4481241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = s**3 - s**2 + s - 1. Let x(t) = -t - 9. Calculate a(l) + x(l).\nAnswer: l**3 - l**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g - 5*c - 13 = 0, 4*g = 3*g - c + 7. Suppose -2*j = -4, 2*j = -4*f + g*j - 24. Let v = f - -7. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -393*w + 92*w = 34*w + 10385 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 9b - 7a?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -r**3 + r - 4. Let m be w(0). Is (-269)\/m + 2\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1*20 + 212 + -224.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 7170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -3985, -2\/5, -5\/4, 5 in increasing order.\nAnswer: -3985, -5\/4, -2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/4*-2)\/(-156*(-27)\/702).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1664 and 79164384?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 12, -199, -538, -999, -1576, -2263, -3054, -3943?\nAnswer: -4924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -68371700 to the nearest 1000000.\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m = -16, -246*z + 250*z = -3*m - 4. Let k(i) be the second derivative of 0 + 0*i**z + 2\/3*i**3 - 5*i. Let w(y) = -y. Determine w(k(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -11*s**2 - 5*s. Let f(m) = -4*m**2 - 2*m. Let o(x) = -5*f(x) + 2*r(x). Let d(i) = -i**2 - 110. Determine d(o(q)).\nAnswer: -4*q**4 - 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 696*u - 84. Let d be 3\/4 - ((-260)\/16)\/5. Let o be k(d). Round o to the nearest one hundred.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000016369 rounded to seven dps?\nAnswer: 0.0000164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express -61*u - 52*u - 3*u in the form k + h*u and give h.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c be -1 + 4\/1 + -8 + 69. Put -33, 2, c in ascending order.\nAnswer: -33, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g - 3*j = -6, 2*g = -0*g + 2*j - 2. Suppose n - n - g*n = 0. Suppose n = -f - 3*f. Put f, -8, -2 in decreasing order.\nAnswer: f, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*y + 235 - 61. Let a = y - -57. Let f(t) = 62*t**2 - t. What is the units digit of f(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-7)\/4)\/(2*(-3)\/(-72)*(-46)\/(-92)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.4, -5, -1\/4, 4, -0.3, 46, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 16\/15 - 2\/5. Let u = 134 + -134.1. Let m be (6 - 5)*(-9)\/6. Which is the second biggest value? (a) q (b) m (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 7656531?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/9, -3\/8, -0.1, -0.5, -3, -37667?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 33384 is divided by 68.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7*(-5)\/(-210))\/(12\/27).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 30924831 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-3)\/(-4)*(-7 - -6). Let h = -81.92 + 2.42. Let x = 79 + h. Which is the smallest value? (a) w (b) x (c) -2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -18760*v + 18578*v = 12558 for v.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -13.06 + 116.96. Let n = 104 - o. Let u(w) = 6*w**3 - w. Let q be u(-1). Put q, -0.8, n in descending order.\nAnswer: n, -0.8, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -31180*o + 31180*o - 3 - 6*o**2 + 2*o**3 to the form t + y*o**3 + p*o**2 + k*o and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0.20458 rounded to 2 dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = -40427 - -40423. Put -6, 0.1, -3\/5, -3, c in decreasing order.\nAnswer: 0.1, -3\/5, -3, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -231 - 23?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 1 u when two letters picked without replacement from {a: 1, d: 1, u: 1, o: 1, p: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Add 0.091 and -0.258.\nAnswer: -0.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 64 = 4*g + 4*j, -3*g + 8*j + 64 = 3*j. Calculate the highest common divisor of g and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/8 - (-8 - -6).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3027190 and 2890?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -1023, -4095, -9217, -16389, -25611, -36883?\n\"Answer: -1025*w**2 + 3*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bb when two letters picked without replacement from {f: 4, t: 1, b: 6}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = g - 1. Let w(d) = 2. Let a(y) = -2*q(y) - w(y). Let o(p) = 5*p. Let x be o(1). Let l(n) = 5 + n - x. What is l(a(t))?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 671248811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = -21 - -21.4. Put -2\/19, c, 0 in descending order.\nAnswer: c, 0, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -y**2 - 13*y + 19. Let t(x) = -x**3 + 1. What is the remainder when a(-14) is divided by t(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 18808?\nAnswer: 2, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 12 - (27 + -12) - (-2 + -2 + -5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - 10 - 429 = q, -2*q = -2. What are the prime factors of x?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 19761, 19740, 19719, 19698, 19677?\nAnswer: 19656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1a - 19?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -12*a + 1. Let w = -19 + 20. Let m be f(w). Let r(h) = -h**3 - 11*h**2 - 7*h + 12. Is r(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0, -3\/5, -41, 3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a = 2*a + 15. Solve 5*l = a*p - 10, 6 = 4*p - 4*l - l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -24*((-1)\/1)\/(-1). Suppose -30*d + 4055 = -235. Let u = d + r. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 27\/4 of a micrometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2150 + 15065\/7. Let -3\/7 - 3\/7*n + h*n**2 - 9\/7*n**3 = 0. What is n?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -26502 or -26178?\nAnswer: -26178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 106319363?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Add 29 and 34454897.\nAnswer: 34454926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/1035 in -1, 2.8, 4\/5, -6\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -404, -516, -618, -704, -768?\nAnswer: -804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.084? (a) -5 (b) 1\/3 (c) 5 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 1, v: 1, y: 3}. Give prob of sequence vyy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*o + o + 3*o)*((-1 + 0 + 0)*(-3 + 2 + 3) + 3 + 0 - 5 + 0 - 2 - 1)*(1 + 2 - 5) + 5*o - 3*o - 3*o + (1 + 2 - 1)*(-2*o + 5*o - 4*o) + 0*o - 2*o + 0*o.\nAnswer: 23*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 5*q - 31 - 14 = 0, 3*q + 61 = 5*u. Let k(o) = o**3 - 15*o**2 - 48*o + 243. Calculate k(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 521*f**3 + 569*f.\nAnswer: 3126*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 353 divided by -1.\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*c - 11*c = 0. Let b be c*(-10)\/5*2\/(-4). Is 2\/65 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12 divided by -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -9*l**2. Let r(c) = 930*c**2. Give t(r(w)).\nAnswer: -7784100*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + -10 + 1 + -2 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) be the second derivative of -x**6\/90 + x**4\/36 + 8*x. Factor a(u).\nAnswer: -u**2*(u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 1\/6, -97717, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Expand (-26*y - 5 + 0 + 4)*(10*y**2 + 13*y**2 - 9*y**2) + (2*y + 5 - 5)*(3*y**2 - 6 + 4 - y**2).\nAnswer: -360*y**3 - 14*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0*15*1\/60.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 195763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m be (1*-6)\/((-18)\/333). Suppose 3*g - 333 = -3*c, -g = -c + 8 + m. Suppose 5*y = 5*o + 400 + c, 2*y = -5*o + 213. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.2+-23418796.057412\nAnswer: -23418795.857412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u = 3*j + 15, 2*j + 0*u + 26 = -2*u. Let f be 2\/j - (-35)\/50. Let -f - 1\/2*t**3 + 1\/2*t**2 + 1\/2*t = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1\/((-2)\/4) + 8. Suppose 5*j - 74 = 26. Let x = j - f. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1173 and 897?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1370*h**3 - 4109*h**3 + 1365*h**3 + 1375*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out 9.3 * -371.2.\nAnswer: -3452.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 54633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -2 = -4*x - 0*r - 2*r, -5*x = r + 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z be 3 - ((-50120)\/(-8354) - 3). Let m = 15229142660719940\/79363 - 191892225104. Let l = m - z. Calculate the common denominator of l and -93\/10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*s - 5*o + 7, 3*s - 1 = 2*o - 0*o. Suppose 0 = d - s - 1. Suppose 2*l - 27 = -d*f + 3*l, 0 = -4*f - 4*l + 60. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-21 + 7 + 15)*(-26*o - 3641 + 3641).\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = -10 - -15. Suppose -t*g + 10 = -5*f - 30, 4*g + 3*f = 32. Let c(l) = -2*l + 20. Let n be c(6). What is the highest common factor of n and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2 + 3. Suppose x*c = 14 + 11. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 76229.\nAnswer: 31, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1\/6, -3, -2, 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ocoquqqcocq. Give prob of sequence oq.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = 8*x - 54. Let h be w(7). Which is the third smallest value? (a) -4 (b) h (c) -1\/6 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m**2\/4 - 226187*m\/2 + 6785385\/4 = 0. Calculate m.\nAnswer: 15, 452359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:03 AM and 4:09 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-7 + 2)*(2 + -1). Let n be f\/((-30)\/(-63))*-2. Suppose 4*g + 4 = 0, -4*g - 5 = -t + n. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 14 - 8. Suppose l = 3*b - 39, v*b = 3*b + 3*l + 39. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 378 minutes after 11:42 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Let g be (-7979)\/505*(-1 + -4). Let h be (2 - g - -8)\/(-3). Solve -5*v + 4*j - h = 3, 0 = 4*j - 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 41*c + 262478 = 261248 for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -362*a - 97. Let x(d) = -4*d**2 - 3. Determine s(x(v)).\nAnswer: 1448*v**2 + 989","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 2829 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: b\"What is the fth term of 85693, 85778, 85863, 85948, 86033?\n\"Answer: 85*f + 85608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -41*g - 4. Let s(t) = -35*t - 1. What is -2*o(w) + 3*s(w)?\nAnswer: -23*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*v - 150 = 25*v. Suppose -q = -4*f - 1789, -27*q + v*q + 3587 = -5*f. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 554954359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 71715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is -1203\/1258 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 181\/1499652 and 47\/9702.\nAnswer: 10497564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = 44 - 74. Let x be (-12)\/f + 3\/(-5). Sort -3, -1, x in descending order.\nAnswer: x, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + 5*(sqrt(1216) + sqrt(1216) + 0)**2 + (-2*(sqrt(1216) + 1 + sqrt(1216)))**2 + -5.\nAnswer: 128*sqrt(19) + 43772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -49526630 rounded to the nearest one hundred thousand?\nAnswer: -49500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(24) + sqrt(864) - sqrt(24)) + sqrt(24))*-5)\/sqrt(8)*-1.\nAnswer: 35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -i + 110. Let s be j(0). Suppose -4*c = 16, 5*w - 4*c + 29 = s. Let k(o) = -o**2 + 15*o - 7. Calculate the remainder when k(7) is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ppppppppp. Give prob of picking 2 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-4)\/14 - 2\/(-7). Suppose -5*a = -h*a - 25. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x + 57 = -8. Let l be (-5 - (-102)\/30)*-20. Let d be 148\/111 - l\/6. Put -2, d, x in decreasing order.\nAnswer: x, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.2*125.235.\nAnswer: -25.047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 3*y - 57*y**2 + 55*y**2 + 2*y**2 - y**3 - 15*y**3 - 21 as n*y + o*y**2 + v + q*y**3 and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -706*s**4 + 377*s - 161865 wrt s.\nAnswer: -2824*s**3 + 377","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 40\/3 (b) -2\/9 (c) -13 (d) 2 (e) -33\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3 - -1. Suppose t - 318 = -k*f, 2*t - 7*t - 330 = -4*f. Let l(r) = 2*r + 24. Let g be l(-7). What is the greatest common factor of f and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 40154 is divided by 5731.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) be the first derivative of n**4\/22 - 14*n**3\/33 + 8*n**2\/11 + 32*n\/11 - 102. Let v(s) = 0. Calculate s.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -12057, -48577, -109443, -194661, -304237, -438177?\nAnswer: -596487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1206 divided by -6.\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d be 21\/(-4) + (-1)\/(-4). Let i = 7 + d. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -256 + 864. What is the highest common divisor of 32 and j?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0007851112638 to 6 dps.\nAnswer: 0.000785","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v = 5*v - 10. Let l be (-18)\/(-6) - (-33)\/3. Suppose v*a - l = a. Calculate the remainder when a is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1039028140 to the nearest integer?\nAnswer: 32234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.5, -0.5, -46957, 542 in ascending order.\nAnswer: -46957, -0.5, 0.5, 542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 2, z: 1, j: 1}. What is prob of sequence zx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -5cc - 0?\nAnswer: -5cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 816*l - 102752 + 92144 = 0 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) be the third derivative of -2*y**7\/21 - 23*y**6\/30 + 8*y**5\/3 - 2*y**4 - 9*y**2. Factor o(t).\nAnswer: -4*t*(t - 1)*(t + 6)*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*i = -3*j - 14, 2*j + i = 40 - 41 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 99596 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 407203 (base 9) to base 5\nAnswer: 30211324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b + 2*j - 27 = -17, -5*b + 5 = 4*j. Calculate the least common multiple of 266 and b.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -202 (base 3) in base 15?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*x - 4*x + 4*x + (0*x + 0*x + 2*x)*(3 - 3 - 4) + 4*x - 5*x + 0*x)*(-x + 2*x - 3*x) as s*x**2 + i*x + w and give s.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = -355.7 - -356. Suppose 3*s - 15 + 3 = 0. What is the biggest value in -0.4, k, s, 0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 2 + 1)*(4 - 5 - 1)*((1 + 0 + 1)*(4*q**2 - q + q) - 5 - q**2 + 5)*(-2*q**2 - 13 + 0*q**2 + 6).\nAnswer: 84*q**4 + 294*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0233372 to five dps.\nAnswer: 0.02334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3807714574.99999957 + 3807714521. Let d = w + 54. What is d rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -10, -3, 6, 11, 6, -15, -58, -129?\n\"Answer: -u**3 + 7*u**2 - 7*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3836*j**2 + 2684*j wrt j?\nAnswer: -7672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -5*p + 114. Let q be b(23). Is 40 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1.924 - 1.824. What is the second biggest value in 1\/4, b, 36, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h - 3*h + 64 = -d, -5*d = -2*h + 32. Calculate the remainder when h is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 178604, 714426, 1607462, 2857712, 4465176, 6429854?\nAnswer: 8751746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 8, e: 5}. What is prob of sequence ee?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 58 - 90 = 4*m - 48, 4*i + 28 = 7*m - 2*m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + sqrt(1053) + 5.\nAnswer: 3 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-1 + 3)*116\/8. Suppose -r = -39 - k. What are the prime factors of r?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 104 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Add 124 and -365671.\nAnswer: -365547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4 + 5)\/1 + (-637)\/182.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1656)\/460*20\/6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 120351 divided by 5731\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z - 58 = -160. Suppose 0*x = 2*x - z. Which is bigger: 16 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = f**2 + 13*f - 16. Let h be w(6). Suppose -2*v + 60 = 5*n - 0*v, -n + 5*v + 39 = 0. Calculate the highest common divisor of h and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(19) + -4)*-1)**2 - (sqrt(2299) - ((-4 + sqrt(2299))**2 + sqrt(2299))) - (sqrt(304) - (sqrt(304) + -3) - (sqrt(2299)*1)**2).\nAnswer: -96*sqrt(19) + 4646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c be (110 - -3 - -3) + 4. Suppose 0*z + c = 15*z. Let m(o) = -11*o + 20. Let r(q) = 5*q - 10. Let s(g) = -4*m(g) - 9*r(g). Give s(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = h**2 + 5*h - 2. Let o be i(-6). Let k = o - 3. Let p = k + 5. Solve 0 = 5*t + p - 21 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 2*l**3 - 20*l**2 + 33*l - 1. Calculate d(3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = -1 - 1. Let b be (-109)\/j - 8\/16. Find the common denominator of 37\/10 and (-201)\/b - (-1 + 0).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*y**2 + 6 - 18*y**2 + 9*y**3 + 7*y**2 - 9*y + 3*y**2 - 3*y**4.\nAnswer: -3*(y - 2)*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 14.2 - 11.35. Let k = 33 + -33.15. Let q = t - k. Which is the biggest value? (a) q (b) -0.1 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.15 - 40.85. Let q = -41 - f. Let c = 2.9 + -3. Which is smaller: c or q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4 + 6. Let p = 75 + 2. Suppose -12*m + m = -p. Calculate the remainder when l is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1445957 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 228158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = 88 + -88. Solve 0*d + 5*d + 5 = j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -13 - -2 - (-7 + 1 - -19 - 53)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 7002930401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 38 + -43?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -m**3 - m - 7. Let q(a) = 5754*a**3 + 4941*a**2 - 2*a - 14. Let y(l) = 2*j(l) - q(l). What is the third derivative of y(s) wrt s?\nAnswer: -34536","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -15 + 21. Let b be (-4)\/i + 66\/18. What is the greatest common factor of b and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 85466.\nAnswer: 2, 151, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0225554 to 4 decimal places.\nAnswer: 0.0226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -b + 80?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(98) + sqrt(98) + 2 + 2 + (sqrt(98) - (-1 + sqrt(98) + sqrt(98)))**2 + -1 - (sqrt(288) + sqrt(288)*-1*4)\/(sqrt(576) - -2*sqrt(576)).\nAnswer: sqrt(2)\/2 + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 3*x + 3*k, 2*x + k - 3*k = 4. Suppose -50 = 5*t, -2*u + 120 = -2*t + 92. Solve -3*a + 12 = u*m, a - 4 = 7*m - x*m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) be the second derivative of 13*s**3 - 3417*s. Let m(d) = 67*d**2. Give j(m(q)).\nAnswer: 5226*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/(-10))\/((-42)\/(-210)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 216884 and 649.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5 in 0.4, -6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(17) - sqrt(425)*-2).\nAnswer: -55*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = m. Let z(b) = 5*b - 1. Suppose -23*q = -24*q - 4*t - 2, -5*q - 10 = t. Calculate q*z(l) + 9*v(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = 46 + -29. Let r(w) = w**2 + w - 3. Calculate the remainder when s is divided by r(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 186964 is divided by 23193.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -422466*s**3 + 844894*s**3 - 422463*s**3.\nAnswer: -35*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 21189 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -2be8 (base 16) in base 13?\nAnswer: -5168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -5? (a) 2\/3 (b) 3\/7 (c) 7.2052 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 250 = -f + 51, -3*t - 1473 = -5*f. List the prime factors of f.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) be the third derivative of -c**7\/42 + 29*c**6\/8 + c**5\/12 - 145*c**4\/8 - 5059*c**2. Find y such that n(y) = 0.\nAnswer: -1, 0, 1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.2698 (b) -4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -599.86 - -605. Let o = 0.06 + x. Let b = o + -6. What is b rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = 9*c**2 + 7*c - 22. What is the remainder when u(5) is divided by 81?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 546 minutes after 11:12 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 6.427 at most as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 5*p = 2*f, -2*p = 2*f + 14. Let c = 2 - 3. Let n = -46\/3 + 16. Put n, f, c in decreasing order.\nAnswer: n, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2049821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1246449947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 131 = -w + 134. Solve w*t - v + 18 = 0, -4*v = -0*v - 12 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -953 - 4*y**3 - 232*y + 243*y + 868 to the form v*y**3 + m*y + s + f*y**2 and give s.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 6 + -15 + -1 + (16 - -7 - -60)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jpvjfffvtvvffjfffvv. What is prob of picking 1 f and 1 p?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 225412 is divided by 166.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by -509\nAnswer: 1\/509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - k - 31 = 1, -5*j + 68 = 2*k. Calculate the least common multiple of j and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 1 + 0)*(6 - 2 + 1)*((-4 + 5 - 3)*(-3*u + 6*u + 0*u) + 4*u + u - 3*u - 3*u - u + 3*u).\nAnswer: -25*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v = 4*w + 4, 3*v + 3*w - w - 8 = 0. Let k(h) = h**2 - 3*h - 1. Let u be k(v). Let q be 92\/6 + (-4)\/(-6). Solve u*p = -p + q for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 2b30a - -43?\nAnswer: 2b351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = 4*q - 4 + 1 - 1 - 5*q. What is p(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 150*f**2 + 178*f**2 - 10 - 62 - 391*f**2 + 141*f**2 in the form t*f + a + d*f**2 and give d.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v + 23 = -3*b, 12*v - 8*v - 1 = -3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 5*b + 2. Let p be (2\/(-4)*-1)\/(1\/4). Suppose -6*f + 4*f + 5*z = 29, 0 = -p*z + 10. Give s(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 98*(-2)\/(-4) - (-7 + 9). Let z = -47 + c. Solve -a + 0 - 3 = z for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 46636.\nAnswer: 2, 89, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 102880057 to the power of 1\/2, to the nearest integer?\nAnswer: 10143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ephpeepghepbherpep. What is prob of picking 1 b, 1 e, and 2 p?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = 4*n. Suppose n = 8*r + r - 45. Suppose -8*s - r*s = -78. Calculate the smallest common multiple of s and 65.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 26686178 to the nearest integer?\nAnswer: 5166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*o**(-18)\/o*o)\/o)**(5\/7)*o**(9\/2)\/(o**4*o) assuming o is positive.\nAnswer: o**(-187\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3 - (5 - 2)) + 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 52073703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bbbo when four letters picked without replacement from {m: 2, b: 2, o: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 36 divide 542878096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4167 is divided by 1351?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -9\/8 and 13\/188.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -w + 1. Suppose -3*n = -9, -n + 6 = 5*y - 7. Let q(x) = 10*x - 2. Let j(k) = 9*k - 2. Let c(o) = -6*j(o) + 5*q(o). What is y*i(v) - c(v)?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p be (9\/(-6) - 0)\/((-3)\/(-8)). Let f = 0.04 + -3.04. Which is the fourth smallest value? (a) -0.3 (b) f (c) p (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-20 + 66 + 16 - 3 + 2 + 0 - 1 + 4 - 4 - 2 + 0 + 0 + (0 + 3 - 1)*(2 + 1 - 2))*(2*l - 3*l - l)*(0*l**3 - 2 - 2*l**3 + 1).\nAnswer: 240*l**4 + 120*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) be the second derivative of 0*z**4 + 0 + 0*z**2 + 1\/5*z**5 - 2*z - 2\/3*z**3. What is the second derivative of r(q) wrt q?\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) be the third derivative of -q**4\/24 + 5*q**3\/3 - 7*q**2 - 26. Let k(z) = 1. Determine -k(i) + n(i).\nAnswer: -i + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 84 and 18?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34*x + 41*x = 56497. Let k(u) = -x + 8066 + u + 0*u. Determine k(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 113177 and -0.01.\nAnswer: -1131.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 4, e: 6, x: 2, f: 6}. What is prob of picking 2 f, 1 x, and 1 a?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 188*j**3 + 14*j**2 - 9*j. Let r(d) = -94*d**3 - 6*d**2 + 4*d. What is 7*r(l) + 3*y(l)?\nAnswer: -94*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = o**3 - 2*o**2 + 146*o - 905. Determine b(6).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -47 - -72. Let o be -2 + (f - (6 - 3)). Is ((-16)\/(-5))\/(4\/o) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + sqrt(2299)*-4 + 0 + (5*sqrt(2299))**2)*-1.\nAnswer: -57471 + 44*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u - 32 = -5*l + 6, 0 = 2*l + 4*u - 36. Let f = l - 4. Let h(d) = d + 3 + 1 - f. What is h(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -51 - -257\/5. What is the biggest value in n, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1*410 - 8\/(4 - 0). Let r be -1 + 16\/14 + q\/84. Let z be (-5550)\/(r\/100*(-12)\/(-8)). What is z rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -258*q**2 - 5*q + 5*q.\nAnswer: -258*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((t*t**(-31))\/t)\/t*t)\/((t\/(t**(-1\/2)*t))\/t))**(5\/14) assuming t is positive.\nAnswer: t**(-305\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = 40 + -61. Let a = 266 - 242. Let t = g + a. Solve 0 = x + t*c + 1, 2 - 5 = -3*c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 2*t**2 - 2*t + 1. Let o(f) = -2*f**2 - f - 4. Let v(x) = 3*x**2 + x + 5. Let b(h) = -4*o(h) - 3*v(h). Calculate -a(z) - b(z).\nAnswer: -z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -1531*m**4 - 64*m**3 + 8*m**2 + 5*m + 396. Let i(z) = -8*z**3 + z**2 + z. Let h(f) = 8*i(f) - l(f). What is the second derivative of h(o) wrt o?\nAnswer: 18372*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 294 - -269. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10101 - -100001111101011?\nAnswer: 100001111010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-8)\/9348)\/(2142\/40698).\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 1 + i**2 - i - 6*i**3 + 0*i**3 + i**3. Suppose 2*j + 230 = 2*c + 244, 2*j = 4*c + 18. What is the units digit of k(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22761800527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/5 in 270\/19, -18, -6\/19, -4?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-2)\/(-7))\/((-10)\/(-105)). Let m(l) be the first derivative of 15\/8*l**2 + 5\/2*l**v + 3\/4*l**5 + 3\/4*l + 15\/8*l**4 + 1\/8*l**6 + 7. Factor m(z).\nAnswer: 3*(z + 1)**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z - 18*z = 3*z - 2400. What is the greatest common factor of z and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -2*t**2 - 128*t - 1316. Let y(m) = -27*m + 2. Calculate d(y(x)).\nAnswer: -1458*x**2 + 3672*x - 1580","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify f\/(f\/(f\/(f*f**(-1\/5))))*f*(f*f*f\/(f*f**(-26)*f)*f*f)\/f assuming f is positive.\nAnswer: f**(146\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 22 - -10221121200100?\nAnswer: 10221121200122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 242*i + 40 = 246*i. Factor -64*a**2 + 7*a + 111*a - 13*a**4 + i*a + 21*a**4 - 24*a**3 + 2*a**5.\nAnswer: 2*a*(a - 2)**2*(a + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 5*t + 8*c - 9*c, -4*t + c = -9. Let h be (1 - 22\/1)\/t. Are -26 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 173403608 to the power of 1\/2, to the nearest integer?\nAnswer: 13168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2651 = -3*v - 2*w, 4*w = -4*v + 6*w + 3558. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 7546835, 7546843, 7546853, 7546859, 7546855?\nAnswer: 7546835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1.175 - -1.675. Sort q, -8, 64 in ascending order.\nAnswer: -8, q, 64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -4, -332, 2 in decreasing order.\nAnswer: 2, -3, -4, -332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*u + 2*u - 4*j + 6, 5*u - 2*j = 96. Is 18 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 82 minutes after 7:12 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = 5*q**2 + 12*q + 5. Let z(h) = -4*h**2 - 11*h - 6. Let j(c) = 5*o(c) + 6*z(c). Calculate the remainder when 63 is divided by j(9).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-4 + (-112)\/(-24))*1206\/4.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = 297 - 297 + v. Let g(r) = 2*r**2. What is g(n(b))?\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -h**3 + h**2 + 21. Let m be d(0). Let q = 234 - 192. Calculate the greatest common factor of m and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4\/937, -3, 3, 337, -1 in descending order.\nAnswer: 337, 3, 4\/937, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -2853182.5 take away -1795?\nAnswer: -2851387.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 2300 > 2291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5 times 251439?\nAnswer: -125719.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -13 - (0 + -14 + 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 22 - 21. Let x be -29*(-4)\/q + 1. Suppose 0 = 2*o + 5*f - x, -o - f + 81 = -3*f. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3 - -10. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 106475 - 0?\nAnswer: 106475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(2\/5)\/m)**9\/(m**1)**(-33) assuming m is positive.\nAnswer: m**(138\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*i + 4*b + 2, -2*b + 3 = 4*i + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 56\/35 - ((-886)\/14619 - 20404\/(-165))\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uyr when three letters picked without replacement from vrvyvuveveymuyu?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -5 (base 7) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o = -2*o + 5. Let w = -12 + 22. Let s = 14 - w. Which is the second biggest value? (a) s (b) 3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -2*x - 9. Let j be f(-6). Suppose v = -3 + 24. What is the highest common factor of v and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.08, -0.4, -55, 9258?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(1 + -4*(sqrt(26)\/sqrt(2) + 2))**2 + (5*(sqrt(208) + 4))**2 + 3.\nAnswer: 968*sqrt(13) + 6374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = -14*q + 5*q. Suppose 0 = -m + 3 - 0, 0 = 4*g - q*m - 26. What is the highest common factor of 12 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 0 and 4\/2699 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 10? (a) -0.8 (b) -3 (c) -2 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 57 (base 9) to base 11\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine x, given that -4*x**4 - 96*x**3 - 480*x**2 - 896*x - 576 = 0.\nAnswer: -18, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 120*g - 864. What is v(7)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 56860 is divided by 3544.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x**4 - 232884*x**3 - 3026793*x**2 + 14901876*x - 15833460 = 0. Calculate x.\nAnswer: -77615, -17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 570, 634, 698, 762?\nAnswer: 826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hyymhzhhhyyzzhymo. What is prob of sequence hh?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 3*c**2 - 45*c - 52. Let l be g(17). Suppose -3*t + d + 22 = 0, -5*t + 3*d + l = -2*d. Calculate the greatest common factor of t and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4 + 1202412?\nAnswer: 1202416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -1095, -1094, -1095, -1098, -1103, -1110?\n\"Answer: -f**2 + 4*f - 1098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -67\/662640 and -179\/7040550.\nAnswer: 56324400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = 27 - 27.2. What is the smallest value in g, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/7 of a week in days?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1111, 2091, 3071, 4051, 5031, 6011?\nAnswer: 6991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -829 + 1229. Is f a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 35 divide 16529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express 17*r**2 - 97224 + 97343 - 12*r**2 + 16*r**2 as t*r**2 + g*r + m and give t.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.119760823 and 506.\nAnswer: 506.119760823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/3? (a) -0.4 (b) -0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 403.22 + -405. Let z = 1424013.6199794 + -1424015.4. Let p = z - i. Round p to six decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2124 divided by -219?\nAnswer: 708\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -474057, -474049, -474029, -473991, -473929, -473837?\nAnswer: -473709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000089350808 to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*z - 23 + 167 = 0. Suppose -m = x - 12, -3*m + 8 = -5*x - 28. Let q be 58\/m + (-4)\/z. Solve u + r + 2 = -u, 5*u = -q*r - 15 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*o - 2*o + 4*o)*(-4*o**4 + 177*o**2 - 91*o**2 - 84*o**2).\nAnswer: 12*o**5 - 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = 3*r + 106, -4*r - 43 = -4*t + 161. Suppose 50 = 3*x + t. Which is smaller: x or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.35 + -0.2. Let b = -192 + 192.15. Let n = b + a. What is the second smallest value in n, -3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1015454*b + 3752352.\nAnswer: -1015454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(209) + 2*sqrt(209)) + sqrt(209))\/(sqrt(11) + sqrt(88)\/(sqrt(32)\/sqrt(4))) + 4.\nAnswer: 4 + 7*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s be -2 + (1 - -2 - 1). Let r be ((-2)\/8*s)\/1. Let l(t) = -t**3 - 3*t**2 - t + 1. Let h be l(-1). Is h less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*m = -13*m + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((2\/(-12))\/1)\/(184\/(-207)). Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -14*y + 38*y + 2*y + 9*y + 19 wrt y.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -702789.7999 rounded to the nearest one hundred?\nAnswer: -702800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve m = 4*h - 45 + 28, 3 = 6*m - 3*h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y be (92\/115)\/(2\/10). Find the second derivative of -2*m**2 + 0*m**2 + 0*m**2 - 11 - 50*m**y + 9 - 31*m wrt m.\nAnswer: -600*m**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 7) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n\/(n\/n**14*n)*n)\/(n**(-20)*n))**(2\/21) assuming n is positive.\nAnswer: n**(68\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*r - 36198*r**3 + 36231*r**3 + 8*r - 27*r + 14*r.\nAnswer: 33*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 19 and 104?\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 19*p - 73. Let h be k(4). Let b = 1 - -3. Factor -87*g**2 + 10*g + 1 - g**4 - g**h + 75*g**2 - b + 7*g**3.\nAnswer: -(g - 3)*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -5*x**3 + 9*x**2 - 14*x + 63. Let a(t) = t**3 - 2*t**2 + 3*t - 1. Give 4*a(s) + c(s).\nAnswer: -s**3 + s**2 - 2*s + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:36 PM and 1:29 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) be the second derivative of x**5\/20 + 5*x**4\/12 + x**3\/6 + 5*x**2\/2 - 3*x. Suppose 4 = -20*r + 19*r. What is the tens digit of h(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:22 PM and 3:02 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -43*g - 34 - 3 = 92 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000844643 rounded to 6 decimal places?\nAnswer: 0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 27523 is divided by 1970.\nAnswer: 1913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 2 + 0)*(t - t + 7*t**5) + 86*t**5 - 2162*t**4 - 15*t**5 + 2169*t**4.\nAnswer: 78*t**5 + 7*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 38509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 906505529.\nAnswer: 906505529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -116*j + 3040. What is s(24)?\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.04037 rounded to three dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = s. Let u(h) = -7*h + 19. Let l(p) = -p + 9. Let c(r) = 6*l(r) - u(r). Determine y(c(q)).\nAnswer: q + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = v. Let j(d) = -2*d + 20. What is j(c(w))?\nAnswer: -2*w + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (1078\/(-216))\/(-11) + (-6)\/(-24) and 35\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 24 = -4*p + i, 0 = 4*p + i + 8. Sort 1, 4, p, -1.\nAnswer: p, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jhhtjhtthuy. What is prob of sequence uty?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = 11072 + -11056. Solve -t*s + 731 = 715 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*f + 4 - 20. Let h be ((-430)\/(-15))\/(f\/(-12)). Let d = h + 9. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (106 - 72 + 55)*(-2*s + 3*s - 2*s)*(47 - 80 + 45) to f + t*s and give t.\nAnswer: -1068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -859837, -1719633, -2579429, -3439225, -4299021?\n\"Answer: -859796*d - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 555319 is divided by 262?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -128128 + 0?\nAnswer: -128128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -t**2 + 5. Let o(d) = 814*d**2 - 1761*d - 15. Let v(r) = -o(r) - 3*p(r). What is the second derivative of v(k) wrt k?\nAnswer: -1622","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -16859650*w + 2. Let n(m) = -3*m. What is n(h(k))?\nAnswer: 50578950*k - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-20)\/(-15))\/4*(-474)\/(-1). Let a = -792\/5 + l. What is the nearest to 2.7 in a, 0, -4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3 - (-15)\/(-6) - (-5652)\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l - 6*l = -55 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1133 is divided by 263?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d be (3\/(-2))\/((-2)\/4). What is the third derivative of -l**6 + 4*l**2 - d*l**6 + 0*l + 0*l wrt l?\nAnswer: -480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 87\/1048432 and -41\/11008536?\nAnswer: 22017072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -3*h**2 + 120*h + 375. What is n(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand 15 - 15 + 8*g**3 + (g**2 - 2 + 2)*(4*g - g + g).\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1240 and 27048740.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -35 - -173. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k = 2*w + 14, 5*w + 2*k - 14 = 11. Suppose w + 5 = l. Calculate the highest common divisor of 56 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -3, 6, 3, -103 in ascending order.\nAnswer: -103, -3, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 4794 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 163*w = 2*p + 162*w + 868, 3*p = 5*w - 1288. Sort 6, -3, -4, p in descending order.\nAnswer: 6, -3, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/4 - 76\/80)\/(-3)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -179.2 + 179.6. Which is the closest to g? (a) 4 (b) -4\/9 (c) -18 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -1077, -2145, -3213, -4281, -5349, -6417?\n\"Answer: -1068*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve w + 1 = n, 3*w = -2*n - n + 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -5 * -89.635\nAnswer: 448.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*i**2\/9 + 8198*i\/9 - 2732\/3.\nAnswer: -2*(i - 4098)*(i - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = 12 + -8. Let j(d) = 0*d**2 + 5*d**2 - m*d**2 - 3*d**2. Let u(c) = -29*c**2. What is j(u(n))?\nAnswer: -1682*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nnqqewlf. What is prob of picking 1 e and 1 n?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (6*i + 0*i - 2*i)*(0 - 5 + 6) + i + 0*i + i to the form q + f*i and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l = w - 76 + 13, -189 = -3*w + 4*l. Suppose 2*a - 12 = o + w, -5*a + o = -180. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*z + 21 + 63 = 0. Suppose 5*d - 5*n - 18 = 37, 5*d + 5*n - 15 = 0. Let a be -3 + 1 - z\/(3\/d). Solve 2*g + 8 = a*x, -2*g + 2*x - 4 = -x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 2*l. Let u = -5 + 9. Let d(m) = -u*m**2 + 7*m**2 + m**2. Determine n(d(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 210582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:55 PM and 8:20 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1012195997.\nAnswer: 17, 61, 131, 7451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w be (3 - -1 - 2) + -7. Let m(h) be the second derivative of h**4\/12 + 7*h**3\/6 - 5*h**2\/2 - 11*h. Let c(y) = y**2 + 6*y - 4. Calculate w*c(z) + 4*m(z).\nAnswer: -z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4074168416.\nAnswer: 2, 1789, 71167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 3*p**3 + 3*p + 3. Let u(v) = 3*v**3 + 2*v + 2. Let f = 430 - 432. Calculate f*s(z) + 3*u(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7413.\nAnswer: 3, 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 2, m: 2, y: 3, u: 1, x: 6}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is -91 smaller than -90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -2\/3 (b) -3\/61 (c) -1.1 (d) 0.3 (e) 0.1 (f) -2\/97\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3.39 + 0.61. What is the biggest value in u, 3, 2, 1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(117) - (sqrt(117) + (sqrt(117) - sqrt(117)*-1))*1)\/(sqrt(90)\/(-1*sqrt(10))).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 30086935 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/j**(2\/13))**(-4\/9) assuming j is positive.\nAnswer: j**(-44\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = -433\/100 - -102\/25. Let b = -0.044 - 0.256. What is the fourth biggest value in -0.4, b, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1 - 5831a1?\nAnswer: -5831a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find w such that 26*w**4\/9 + 22*w**3\/9 - 56*w**2\/9 + 8*w\/9 = 0.\nAnswer: -2, 0, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 25*f**2 - f**4 - 12*f + 2*f**4 - 23*f**2 + 1 to l + n*f**3 + s*f**2 + h*f + o*f**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = -265 + 290.4. What is b rounded to 0 decimal places?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -268913 = -181*i - 267103 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = -7768 - -8665. Calculate the remainder when c is divided by 113.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 + 1 = x. Let o(i) be the third derivative of -i**5\/20 + i**4\/8 - i**3\/3 - 3*i**2. Let r(v) = -4*v**2 + 4*v - 3. Determine x*o(m) - 2*r(m).\nAnswer: -m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - 24 = -4*q - 0*q, 2*x = 8. Let w be (-2 - -6) + 272\/8. Suppose -q*f + w + 26 = 5*g, -2*f + 26 = g. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/4, 67.5, 1 in increasing order.\nAnswer: -3\/4, 1, 67.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = -525 + 523. Sort -205, q, -1.\nAnswer: -205, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -294, 0, 5, 3, 4.\nAnswer: -294, 0, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) be the third derivative of g**5\/60 - 7*g**4\/24 - 2*g**2. Let x be p(7). What is the nearest to 0 in x, -1\/4, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) be the first derivative of -z**4\/6 + 92*z - 106. Let f(w) be the first derivative of q(w). Let p(j) = 10*j - 2 - 3 + 1. Determine f(p(l)).\nAnswer: -200*l**2 + 160*l - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -68, -1356, -2526, -3584, -4536?\nAnswer: -5388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -36*o**3*u**2 + 29*o**3*u - 2*o**2*u**2 + 8*o**2*u + 71*o*u**2 + o wrt o.\nAnswer: -216*u**2 + 174*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*n + 10 = -3*n. Suppose 195 = 2*v - n*a - 991, -4*v + 2384 = 2*a. Is v a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -17500 to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + sqrt(931) + 3*sqrt(931) - ((sqrt(931) - -3*sqrt(931) - sqrt(931)) + 5))**2.\nAnswer: -14*sqrt(19) + 932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out -8.5 * 172.14.\nAnswer: -1463.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -d**3 + 4*d**2 + 4*d + 122. What is v(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -4207*g - 85707 = 36296 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -z**3 - 13*z**2 - 14*z + 20. Let m be u(-12). Calculate the greatest common divisor of 11 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3166, 12652, 28462, 50596, 79054, 113836, 154942?\nAnswer: 202372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 5532 + -5475. Calculate the remainder when 59 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*f + 25*f - 90 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (-20)\/(-175)*((-385)\/(-10))\/11\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 1, -2, -2950 in decreasing order.\nAnswer: 3, 1, -2, -2950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 0.1 times 283\nAnswer: 28.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z = 2*s + 910, -4*s - z - 683 = 1109. What is s rounded to the nearest ten?\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 31.13997 litres to millilitres.\nAnswer: 31139.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -14612, -58498, -131656, -234086, -365788?\nAnswer: -526762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (-27 - -26)\/((-3)\/6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -5*y**2 - 1. Let q(x) = x**3 - 4*x**2 + x - 5. Let n be q(4). Let u(h) = -3*h**2 + 9. Let f(p) = -1. Let m(t) = n*u(t) - 9*f(t). Give m(r(z)).\nAnswer: 75*z**4 + 30*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = -22 + 12. Let g = m - -9.9. Which is smaller: g or -0.05?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2252*h = -2190*h - 186. Let r(f) = 6*f**2 - 4. Let s(p) = -p**2 + 1. Let i(k) = -r(k) - 5*s(k). What is i(h)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kkakakktakkktkkkjak. What is prob of picking 1 k and 2 t?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-1)\/(-3) - 645\/(-9). Let t = -61 + w. Let q = -68 + 178. Calculate the highest common factor of t and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -47 + -30419?\nAnswer: -30465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = h**2 + 96*h + 442. Let g be x(-91). Let z(o) = -o**2 - 7*o + 90. Determine z(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*l = -3*l - 20. Suppose -l*b - 36 = -6. Let q be (-8)\/(-3) - 2\/b. Solve j + 0*w + 3*w = 2, 3*j + q*w = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 66967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 377872 to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -4\/7, 4, 5, 1\/7, -3\/299 in increasing order.\nAnswer: -4\/7, -3\/299, 1\/7, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-1\/26)*c)**43 assuming c is positive.\nAnswer: c**(1075\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -353*c**2. Let i(m) = 134275*m**2. Determine i(a(b)).\nAnswer: 16731873475*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2 - 0)\/(-4 + 2). Let o be (j\/(-2))\/(-4*(-1)\/(-56)). Suppose -19 + o = -4*t + 3*p, t - 4*p - 3 = 0. Solve -3*w + 2 = -5*x + 10, -t*x = -w - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 - 33 - 0 - -27?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1 + -0.9. Let g = 1.1 - r. Let i = -1 - g. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 2, z: 1, m: 2, l: 2, d: 5, x: 1}. Give prob of sequence zbbm.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 71*a + 89 - 96 = 206 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.05 and 520.8265.\nAnswer: -26.041325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2100 + -1264. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.17 in -0.1696, 0.03, -27\/2?\nAnswer: -0.1696","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 594 + -565. Calculate the remainder when 124 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -h**2*v**2 - 4*h**2*w - 3*h**2 - 3*h*v**2*w**2 + 3*w**2 - 28 wrt w.\nAnswer: -4*h**2 - 6*h*v**2*w + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -45*o - 31*o + 44*o - 54*o.\nAnswer: -86*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = 452 - 452. Which is the closest to s? (a) -4 (b) 2\/3 (c) 0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 - (2 - 4)) + 16 + -18.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 2, l: 1, f: 1, e: 1, w: 3, m: 3}. Give prob of picking 1 e and 1 m.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 40690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f = 807 + -1258. Let k = -256 - f. Suppose 4*g - 21 = 4*x - 153, 5*x + g - k = 0. Is 19 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (1\/(-2))\/((-1)\/10). Suppose 2*d - 5*u + m = -0*u, u = 3. What is the third derivative of -5*o**3 - o**2 + d*o**2 - 2*o**2 wrt o?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 604 - 628.3. Let b = r - -24. What is the second biggest value in b, 1, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-3 - 27)*1 - -3. Let l = -1 - m. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1908*j**4 + 956*j**4 + 300*j**3 + 2129*j + 953*j**4 + 381*j**3 wrt j.\nAnswer: 12*j**2 + 4086*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) be the second derivative of 0 - g + 3\/8*g**2 + 5\/16*g**3 + 1\/32*g**4 - 3\/80*g**5. Factor n(f).\nAnswer: -3*(f - 2)*(f + 1)*(2*f + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 319293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/25 (b) -7.8 (c) 0.4 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 226 + -212. Solve l = 5*m + y, -6*m + 3*m - 3*y = -18 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/2, -7, 2\/5, -3 in decreasing order.\nAnswer: 2\/5, -1\/2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 177*o**3 + 44259*o**2 - 7258113*o - 369171 = 0.\nAnswer: -363, -3\/59, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/5 in -52, -0.14, -11147\/5?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -6 (b) 9 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Add together -2625695438.0259 and 2.5.\nAnswer: -2625695435.5259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 1\/20 of a micrometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: ((-552)\/40 - -11)\/(4\/(-10))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -141 in 0, 90, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 10034*y + 21151677. Give l(-2108).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + (6 - (2 + -4 + 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 174 divide 190530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -r - 2*u + 1, -5*r - 2*u = -11. Let j = -1\/26 - -115\/286. Which is bigger: j or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(18)\/(sqrt(12)*2))\/(sqrt(800) - sqrt(800)*2).\nAnswer: -sqrt(3)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -24 + 21. Let w(t) = t**3 + 4*t**2 + 5*t + 7. Let a be w(h). Suppose 0 = 3*o - 3*z - 24, 2 = -z - a. Calculate the highest common divisor of o and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 2*c = 4*m, -5*m + 5*c + 35 = 0. Put 0, m, -5 in descending order.\nAnswer: m, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:20 AM and 5:48 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p = -10\/313 + 333\/626. Which is the closest to p? (a) 4 (b) -2\/11 (c) 179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5377 + -1883. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j - 10*j = 2*x - 766, 5*x - 1978 = -2*j. What is the remainder when x is divided by 120?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 4*k = 10. Let l be -1*k*1\/(-112). Let i be (-128)\/1664*(-4 - 9). Is i at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1 - 0. Let y = -3\/11 - -17\/22. What is the third smallest value in 2\/7, y, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -18*m**5 + 0*m**2 + 11*m**2 - 10*m**2 + (3 - 3 - 2*m**2)*(92 - 8*m**3 - 92).\nAnswer: -2*m**5 + m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -838 * -287\nAnswer: 240506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-192)\/18)\/(1\/(-3)). Suppose -3*r - r = -s. What is the highest common factor of r and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*h + 53 + 20 = -103 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x = -2*w + 4, 2*w + 45*x - 42*x = 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in nine tenths of a minute?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = 2*q + k - 292, 0 = -5*q - 4*k + 733. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1 - -7074?\nAnswer: 7073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 47*s + 67*s + 5*t - 135 = 109*s, 4*t + 126 = 5*s for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 174284 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 0.1039 to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*s - 5*s + 4, 2*i - 174 = 5*s. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -59, -48, -17, 40, 129?\n\"Answer: z**3 + 4*z**2 - 8*z - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 131, 504, 1355, 2918, 5427, 9116?\n\"Answer: 39*z**3 + 5*z**2 + 85*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 3112208 - -5?\nAnswer: 3112213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 1, t: 5, u: 1, k: 2, n: 2, r: 5}. Give prob of sequence nuk.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -n**3 - 5*n**2 - 7*n - 5. Let r be g(-4). Suppose 5*l + x = 4*l + r, -3*x = -9. Solve -4*d = -4 - l for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 56*u + 28 = 63*u, -4*h + 388 = 18*u - 13*u for h.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 8 = 2*l - 2*h, 5 = 5*h. Let y be 2*(-3)\/(-11)*l\/3. What is the closest to 2\/5 in 0, -4\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2176 + 2175. Which is the fifth biggest value? (a) 0.4 (b) 3 (c) 153 (d) -2\/23 (e) g\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-8664)\/1672)\/((-51)\/(-374)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 387012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -22? (a) -3838\/7 (b) -1\/4 (c) -5 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 11 and 362923?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 67630000 rounded to the nearest 1000000?\nAnswer: 68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1666 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -50 (base 6) to base 9\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.147538 rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(17) - (-2*sqrt(119))\/sqrt(7)) + -1 + -4.\nAnswer: -5 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 25*(-1292)\/(-850)*6\/(-3).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:32 PM and 2:58 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is (-1 - (5 + -8))\/(24\/6799596) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2497734.367292 + 2497730. Let y = 2.667305 + x. Let d = -1.7 - y. Round d to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.1 or 21328?\nAnswer: 21328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 3*k + 290. Let d(l) = -l + 20. Determine d(z(h)).\nAnswer: -3*h - 270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(684)*2 + -2 - (-6*(1*sqrt(152) + sqrt(152)))\/sqrt(8).\nAnswer: -2 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 16*r - 1492. Give x(96).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -2*x**2 - 23*x + 26. Let h be o(-11). Suppose h*u - 30*u = 49. Solve 0 = d - u + 2, -5*f + 30 = 3*d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12 (base 14) in base 11?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*f**3\/5 - 5946*f**2\/5 + 5892486*f\/5 - 1946484542\/5.\nAnswer: 2*(f - 991)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = k - 3*b - 13, -5*b = 0. Suppose -k*r**2 + 178*r + 20*r**2 - 180*r = 0. Calculate r.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is a in 11*a**5\/3 - 4930*a**4\/3 + 5188*a**3 + 4930*a**2\/3 - 15575*a\/3 = 0?\nAnswer: -1, 0, 1, 35\/11, 445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9566867 is divided by 111?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 1\/29421560 and -41\/55.\nAnswer: 323637160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c = 19 - 17. Let p(l) = 3*l**3 + 12 + 3*l - 2*l**3 - c*l**2 - 3*l**2. What are the prime factors of p(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1.395948 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.8 - -2.8. Which is the third biggest value? (a) 11 (b) 0.4 (c) r (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 2795884819?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3 - 1) + -4 + 2 + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(272) - (2 + sqrt(272)*1))*-2)**2 + (((sqrt(102) - (sqrt(102) + sqrt(102)*1 - sqrt(102)))\/sqrt(3))\/(2*sqrt(242)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 7*f**2 - 2*f - 2. Let u(x) = 6*x**2 - 2*x - 2. Let o(s) = -5*g(s) + 6*u(s). Let c be o(-2). What is the units digit of -6*-1*c\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 46942720 is divided by 383.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -j**3 - 7*j**2 - 8*j - 7. Let u be m(-6). Solve -2*g + u*f - 16 = -0*f, -2*f + 8 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 79437616 to the power of 1\/2, to the nearest integer?\nAnswer: 8913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-4)\/12)\/(-1))\/(-1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2369012644 to the power of 1\/3, to the nearest integer?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g = -359 - -354. Let r(a) = a**3 - 3*a**2 - 5*a. Let q(o) = -2*o**3 + 4*o**2 + 7*o. Determine g*q(c) - 7*r(c).\nAnswer: 3*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 302 a factor of 20046156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1 - 3)\/((-2)\/(-14)). Let h be n\/(-5) - (-4)\/10. Suppose h - 16 = -o. Solve k = -3*g + 6*k + 2, 0 = 2*g + k - o for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-20)\/(-28))\/(-5)*(60 + -36 - 745).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s*(s\/(s*s*s**(-5\/6)))\/s)\/((s**(-4\/5)\/s*s)\/s))**(-2\/9)*((s*s**(-5)*s)\/s*s*s**3*s*s*s)\/(s**(-1\/4))**28 assuming s is positive.\nAnswer: s**(1301\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (j**3 + 7*j**2 - 12*j**2 - 3*j**3)*(-2 - 2 + 3)*(-76 + 96 - 58) to m*j + b + p*j**2 + i*j**3 and give i.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-49*c**2 + 13 + 12 - 26)*(2 - 4 + 0).\nAnswer: 98*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 2042510 (base 7) in base 16?\nAnswer: 3c050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 2 + 17*z - 3*z - 9*z + 2*z**2 - 5*z. Let f(t) = -t**3 - 5*t**2 - t - 5. Let x be -1 + 25\/(-5) - -1. Give x*v(b) - 2*f(b).\nAnswer: 2*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide 1145111 by 5479.\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Product of 1434558 and 16.\nAnswer: 22952928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2230\/3 in 47\/4, 0, 0.07?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2043.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*(sqrt(153) + sqrt(153)*-3))\/(1*1*sqrt(9)) - -1*((-1 + sqrt(833) - sqrt(833)) + 5 + -1*sqrt(833)*4))**2.\nAnswer: -288*sqrt(17) + 22048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 129 + -78. Let l = u + -70.6. What is l rounded to zero decimal places?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by 1792684\nAnswer: -1\/1792684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -7364200 rounded to the nearest 100000?\nAnswer: -7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -o**3 + o + 1. Let b(g) = -19*g**3 + 40*g**2 + 4*g + 4. Let w(q) = b(q) - 4*f(q). Find the third derivative of w(d) wrt d.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 87*(-3 + 4)*-1. Let t = 90 - f. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 200 and 2079800.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 3240 divided by -9\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 188 + 84 - 376 + 238 + 217 + 7*m.\nAnswer: 7*m + 351","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (6\/(-4))\/(72\/(-12))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 28*f + 39*f = -38*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 18845.3141 to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x be (132\/(-11) - -18)*5100. Round x to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -3*b - 4. Let w(k) = -k - 1. Let n(a) = m(a) - 4*w(a). Let d(g) be the first derivative of -g**2 - 7. Give n(d(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = 12566 + -12563. Solve 5*m + 5 = -12*z + 7*z, -p*z = -4*m + 17 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1\/(-2) - 1\/(-4). Let v = 0.6 - 6.4. Let d = v + 6. What is the closest to 1 in i, 0, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 203 minutes after 11:00 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u be (10\/12 + -1)*17\/((-612)\/(-54)). What is the second smallest value in 8, 24, -0.1, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l - 13 = -5*q + 7, 4*l - 10 = 5*q. Suppose -q*p + 15 - 11 = 0. What is the second derivative of -3*s - p*s**4 - 2*s**5 + 2*s**4 - 4*s**5 wrt s?\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-2)\/((-4)\/22) + 2. Suppose 4*w + 2 = -2*z, 5*w + a + 48 = 4*z. Suppose 0 = v + 2*v - z. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 160 minutes before 8:41 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -29, -7, -1, 4781, -1.8 in descending order.\nAnswer: 4781, 5, -1, -1.8, -7, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-40)\/208)\/(2\/8). Let s be (-3)\/4 - 33\/(-12). Suppose -z + s*z = -3*z. Is f bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 2*o = -g - 1, 0 = -4*g + 3*o + 17. Suppose -g = -5*r + 8. Solve -r*q = -0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-9)\/6*(-2)\/(-15)*5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 448593314 to the nearest integer?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/(-40)*(-20)\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-6 - 349236\/(-20544)) + -11. Which is smaller: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 4891134.78s?\nAnswer: 8.08719375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1015026515 to the nearest integer?\nAnswer: 31859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = -23 + 23. Which is smaller: -2\/15 or d?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 57\/8 or -2\/3?\nAnswer: 57\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 4.0407125 + -7601?\nAnswer: -7596.9592875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 70*m**4 - 7*m**3 - 8*m - 91713 wrt m.\nAnswer: 280*m**3 - 21*m**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 12 + -1002?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) be the first derivative of -31*v**3\/3 - 1073. Let l(m) = -3*m**2 + 5. What is x(l(q))?\nAnswer: -279*q**4 + 930*q**2 - 775","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 - (-57 - -57 - (-8 + 1)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10)\/(-56)*((-101462)\/(-970) - 95).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 18384181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) be the first derivative of l**5\/5 - 62*l**3\/3 - 3*l**2 + 3535*l - 4793. Find the first derivative of d(y) wrt y.\nAnswer: 4*y**3 - 124*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -p**3 + 19*p**2 - 37*p + 310. Calculate x(18).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 151*r**2 - 69*r**2 - 1 + 615*r**2 - 81*r**2 + 31*r.\nAnswer: 616*r**2 + 31*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 21*p**2 + 8*p - 6. Suppose -v - 15 = -0*v. Let l be (-3)\/2*-25*2\/v. Is s(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 12*s**2 - 79*s - 723. Determine p(-8).\nAnswer: 677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1 + 5\/2)*2. Suppose 2*l = v*l + 33. Let x = 101\/3 + l. Which is the closest to x? (a) 2\/5 (b) 2 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -63*a**2 + a + 4. Let j(u) = -63*u**2 + u + 5. Let f(b) = -6*i(b) + 5*j(b). Let q be f(1). What is the highest common divisor of q and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-18592)\/(-238))\/16 + (-4)\/(-34). Solve -3*d - o*d = -6*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 10430 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -18.06 or -3690?\nAnswer: -18.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -5*m**3 + 9*m**2 + 3. Let f(c) = 6*c**3 - 10*c**2 + c - 4. Let z(x) = -5*a(x) - 4*f(x). What is z(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*h - 78 + 108 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 69690 and 7856790?\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*o + 48*o**3 - 49*o**3 - 8 + 15 - 3*o + 2*o**2 to g*o**3 + b*o + f*o**2 + w and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*m - 4*g + 6, -4*m - 3*g = g - 24. Which is the third biggest value? (a) m (b) 1 (c) 4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00019848688 rounded to 7 decimal places?\nAnswer: 0.0001985","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by -1010\nAnswer: 1\/1010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + -1 - (-3 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine f, given that -8\/5*f**2 - 2\/15*f**4 + 0 + 4\/5*f**3 + 16\/15*f = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -21308 bigger than -21307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 42925?\nAnswer: 5, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 12, -1, -74202, 0, 4 in decreasing order.\nAnswer: 12, 4, 0, -1, -74202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 11*i*r**2*s**3 - 12*i*r**2*s + 7*i*r*s**3 + 2*i*r + 9*i*s**3 wrt r?\nAnswer: 22*i*s**3 - 24*i*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 34 + -21. Let y = b + -14. Let d be (1 + -2)*3*y. Solve -d*f - 12 = f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*k**3 - 206*k**2 + 968*k + 0 + 377*k**2 + 0 - 171*k**2.\nAnswer: 3*k**3 + 968*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = 70*n**2 + 192*n. Let o be w(-2). Put 5, -3, o, 3, 0 in decreasing order.\nAnswer: 5, 3, 0, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -157*z. Suppose -36 = 120*t - 126*t. Let l(q) = -20*q - 7. Let j(u) = 17*u + 6. Let s(a) = t*l(a) + 7*j(a). What is s(m(y))?\nAnswer: 157*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*i + 5*x = i - 24, 4*i + 4*x = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-4 - -4) + 3148\/(-8))*2. Let q = b + 1154. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 75325 + -51041. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -f**3 - 14*f**2 + 3*f - 4. Let a be u(-14). Let k = -36 - a. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:17 AM and 3:17 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p - 7 = -j, 0 = 5*p + j + 13 + 7. Let a = -41 - -39. Is p >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*l + 5 + 4. Factor -2*a**3 + a**3 - a**l + 0*a**3 - 2*a**4.\nAnswer: -2*a**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = g**3 + 9*g**2 + 2*g + 10. Let q be a(-9). Let h be q\/12*(1 + -130). Suppose v + 2*i = 44, -2*v + 2*i = -4*v + h. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 10, 40, 112, 244, 454?\nAnswer: 760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l + s + 3*s - 30 = 0, -5*l = s - 120. Suppose 0 = -8*x + l - 9. Let v(n) = -21*n + 17*n - 2*n**3 + x*n**2 + 3*n**3 - 1. Calculate v(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -323\/6 in -5, 2, -2\/11, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1816, -15187, -51610, -122617, -239740, -414511?\nAnswer: -658462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify x\/x**(-3)*x**(-2\/13)*(x**(1\/6)\/x)\/x*x\/(x*x**(-2))*(x**(4\/5)\/x**(-2\/5))**6 assuming x is positive.\nAnswer: x**(4373\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = -112398 + 102953.8. Round o to the nearest 100.\nAnswer: -9400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 3\/(1 + 2)*3. Suppose h - p = -81. What is the units digit of h\/(-5) - 12\/(-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -200953, -401914, -602873, -803830, -1004785?\n\"Answer: o**2 - 200964*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-12)\/(-21))\/((-135)\/(-441)) - 2.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 10003 - -6?\nAnswer: 10009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 63\/1946432 and 71\/21897360.\nAnswer: 87589440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (-6)\/(-6)*4\/82\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*(-2 + sqrt(176)) + 3 + -5)*-6)**2 + 2 + 4.\nAnswer: -11520*sqrt(11) + 160710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -211*c**2 - 62*c**2 + 17*c - 17*c.\nAnswer: -273*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -41020*o + 45756*o + 63577*o.\nAnswer: 68313*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -36*v**4 - v**3 - 202*v**2 + 43130*v wrt v?\nAnswer: -432*v**2 - 6*v - 404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (-210)\/(-300)*(-45)\/(-42)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-6)\/24 + 3\/(-4) + 0. Let z = -11 - -15. Which is the closest to y? (a) z (b) 0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be -3*(5\/3 - 1). Let y(h) = -318*h + 629*h - 6*h**2 + 2 - 314*h. Let a(b) = -b**2 + 1. Let r(x) = 4*a(x) - y(x). What is r(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/67, 3, -4\/15, -1 in descending order.\nAnswer: 3, -1\/67, -4\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -220, -1223, -3944, -9241, -17972?\n\"Answer: -143*c**3 - c**2 + c - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) be the third derivative of 0*n**3 + 0*n + 1\/105*n**5 + 4*n**2 + 1\/420*n**6 + 1\/84*n**4 + 0. Find z such that h(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 141*k**2 - 391. Let a(t) = 5*t**2. Determine y(a(m)).\nAnswer: 3525*m**4 - 391","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 5, n: 7}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -177*f**3 - 9*f - 77. Let r(g) be the first derivative of 45*g**4\/2 + 2*g**2 + 39*g - 66. Let h(b) = 9*r(b) + 4*y(b). Differentiate h(v) wrt v.\nAnswer: 306*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -62*j + 76*j - 42 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-12)\/(-3) + 19\/((-38)\/(-156)). Solve -j*w = -75*w - 28 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2259*n + 1216 = -2221*n. Solve 17*v - 30 = n*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1 by 421.\nAnswer: 1\/421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j\/(((j\/j**(1\/3)*j)\/j)\/j))**(1\/7)\/(j**(-2)\/(j*j*j\/((j*j\/(j**(-2\/7)\/j))\/j))))\/((j*j**(-1))\/(j*j\/(j*j\/j**(-1\/3)*j)))**(-2\/57) assuming j is positive.\nAnswer: j**(3533\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 36 = -124. What is the highest common divisor of 65 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 40838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 9*s**2 - 14*s - 111. Let d(p) = -2*p**2 - 4. Let y(b) = -4*d(b) - q(b). Calculate y(20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3015, 3019, 3025, 3033, 3043?\nAnswer: 3055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 24 a factor of 10072333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Let v(k) = 2*k**3 + k**2 - 4*k + 3. What is v(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = a**2 - 2*a + 47. Let b be l(-24). Is b < 671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9\/(-6))\/(6\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -j**2 - 3. Let x = -8\/39 - -7\/13. Let b(c) be the first derivative of 1 + 4*c + x*c**3 + 0*c**2. Calculate -3*b(m) - 4*w(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c + 4*j + 17 = 0, 2*j - j = -3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -35747262*f + 17873725*f + 17873537*f + f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -0.06, 5, 6, 2\/7, -7, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -1 + 13*x - 3*x**2 + 2*x**2 + 0*x**2 - 3. What is the smallest common multiple of j(12) and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 7, w: 1, d: 1, z: 2, i: 4, j: 5}. What is prob of picking 3 i?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k be 24*1*56\/21. Let w be 9\/2*k\/1. Suppose -5*p = -113 - 47. What is the greatest common factor of w and p?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (33 - ((-2)\/(-4) - (14 + (-783)\/54))) + -1?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4339466667?\nAnswer: 3, 593, 813091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 9670 bigger than 9521?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 251, 491, 729, 965?\nAnswer: 1199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -85*h + 77. Let z be m(-21). Suppose -17*b + z = 2*b. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 800675 is divided by 115?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b, 2 p, and 1 l when four letters picked without replacement from pplxb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.0293 and -6089.\nAnswer: 178.4077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in -68, -109, -154, -203, -256, -313?\nAnswer: -374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 48*f**4*u + 27*f**3*u - 77*u - 175 with respect to f.\nAnswer: 192*f**3*u + 81*f**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -5*k + 0*k + 3 + 0*k + k. Let p(w) = -w - 3. Let u(x) = 2*x + 4. Let o(l) = -3*p(l) - 2*u(l). Suppose 0 = 6*f + 15 - 3. Determine f*a(y) + 7*o(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:28 AM and 12:40 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 - 5 = 3*q. Let i be -5 - (-3)\/(-1)*-1. Let x = 2.6 - 1.6. What is the nearest to x in q, -2\/5, i?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -z**4\/3 - 4500340*z**3\/3 - 5063265028900*z**2\/3.\nAnswer: -z**2*(z + 2250170)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = c**2 - 3*c - 2. Let k(z) = -2*z**2 + 2*z + 2. Let s(w) = 61*w - 369. Let d be s(6). Give d*k(y) - 2*x(y).\nAnswer: 4*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -8*d + 2. Let k(o) = 9*o - 3. Let v(s) = 6*k(s) + 7*t(s). Let y be v(-2). Solve -3*x = -y - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*g**2 - 75304*g + 354418276.\nAnswer: 4*(g - 9413)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1)\/1 - 238\/(-224). Is 1 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*z = -9*z. Suppose i + 4*i = z. Suppose 5*r + 5 + 5 = i. Let o(l) = -3*l**2 - l - 2. Calculate o(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (4 - 0) + -1 + -465. Suppose 4*b + b = -460. Let m = b - n. What is m rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 599388 divided by 4?\nAnswer: 149847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is a (base 14) in base 13?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 66*g. Let o(x) = 33*x. Give 9*o(z) - 4*q(z).\nAnswer: 33*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -40 + 37*n**2 - 53*n**2 - 7*n**3 + 16*n**2 - 3.\nAnswer: -7*n**3 - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 397*c**3 - 180*c**2 - 3?\nAnswer: 2382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = -13576.7576 + 13571. What is w rounded to 1 decimal place?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 289 = 4*q - n, 4*q + 162 = 6*q - 4*n. Calculate the remainder when 221 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 838.1741ml in litres?\nAnswer: 0.8381741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:42 PM and 7:42 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -162 + 318 - 160 - 4*i. Determine a(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 476 + -278. Calculate the greatest common divisor of n and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17 + -1 - (-9 + (140 - (14 + 17)))?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -16951 - -16809.06. Let p = -142 - g. Which is the second biggest value? (a) 0.2 (b) 1\/4 (c) p (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence njh when three letters picked without replacement from jnrjjhhrvjjch?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3*(-4)\/651)\/(320\/(-1120)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 8400.822 rounded to the nearest 100?\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 41\/33 and -139\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*o - 10*o. Which is the nearest to 0? (a) o (b) -5 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0004741705 rounded to five dps?\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 213, 0, 3\/7 in descending order.\nAnswer: 213, 3\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 2 - 4)*(-m + 5*m - 3*m)*(7*m + 6*m - 4*m) + 3*m**2 + 3*m**2 - 3*m**2.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-3)\/(-6))\/((-2)\/(-12)). What is the smallest value in r, -4, -0.17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*b**2\/2 + 427818*b - 33365241\/2.\nAnswer: -3*(b - 285173)*(b - 39)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 169 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t be -5*2*2\/(-10). Suppose 0 = -3*j + 6, -3*j + 1 = -t*o - 11. Is 4*3*o\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (10 - (-752)\/(-72))*-9. Solve -17 = -3*j + n - m, -4*j + 3*n + 14 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) be the third derivative of 11*y**7\/70 + 2*y**3 + 13*y**2. Differentiate z(h) wrt h.\nAnswer: 132*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4 - -243?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 8 + 19.068?\nAnswer: 27.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 11) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -19775*m - 2005 = -9904*m - 9900*m - 236 for m.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-24325)\/(-973))\/(25\/29)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be -1 - ((-2 - -3) + -6). Suppose 5*w = 5*v, 5*w - 8 - t = 2*v. Let r(d) = 2*d**2 - 7*d + 23. What is the units digit of r(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3 + 120 = -908*i + 917*i for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -6 + 8. Suppose -306*x = 108*x. Solve -5*a - 3*s - r = 0, x*s + 16 = 2*a - 3*s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 103197 and 1714.\nAnswer: 104911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*k - m - 297, 304 = 3*k + 3*m + 100. What is the remainder when k is divided by 45?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-5\/4)*l\/(l*l*l**(1\/20)*l))\/((l**(1\/5)*l)\/l*l**(-2\/15)) assuming l is positive.\nAnswer: l**(-101\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -p - 5 = -3*k + 16, 4*k = 4*p + 36 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sum -4 and -822318.\nAnswer: -822322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 406046854 to the power of 1\/2, to the nearest integer?\nAnswer: 20151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 1664634061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: What is ((-8)\/(-14))\/(105\/14*(-16)\/(-84))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -44*v + 10. Determine y(-2).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a = o + 13, 0*o + 4*a = 3*o + 14. Suppose -o*c = 4 - 82. What is the remainder when c is divided by 10*(0 + 2 + 0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -36.608691 and -337219.\nAnswer: -337255.608691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 1 (b) -18 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 3331 (b) -4 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*r = -36*r + 132 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -198, -201, -204?\n\"Answer: -3*d - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 80 - 1346 = -u. List the prime factors of u.\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*a**2 + 7*a - 7*a + a**2 + 2*a**2.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 327 + 6?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 7 divided by 436874\nAnswer: 7\/436874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -86, -4, 1.37, 35.3, -3, -2\/3 in ascending order.\nAnswer: -86, -4, -3, -2\/3, 1.37, 35.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 1673781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s + 12 = 2*r - 0*r, 3*r + 2 = -s. Suppose -5*v - 15843 = -q - q, v + 31731 = s*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6009093 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1.001 + -0.999. What is the second biggest value in -12, -0.1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 7118, 7757, 8396, 9035, 9674, 10313?\n\"Answer: 639*s + 6479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -23844, -23719, -23608, -23517, -23452, -23419, -23424?\nAnswer: -23473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -746 - -61. Let p = r + 1721. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -5*o - 18. Determine b(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/5, -0.677, 12, -0.2, -1.\nAnswer: -1, -0.677, -2\/5, -0.2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 866.119 grams?\nAnswer: 0.866119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 12087 + -60433\/5. What is the fifth biggest value in -2\/5, 26, 0.2, -108, o?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve q + 18*n + 6 = 17*n, -4*q = -2*n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6229272?\nAnswer: 2, 3, 7, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*j + 2*o = 2*j - 1, 2*o = 5*j - 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.2 + 0.2. Let v = -0.5 - -1.5. Let z = -3 - v. Which is the nearest to i? (a) 0.3 (b) -0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -0.2, 1.33, -7\/53 in decreasing order.\nAnswer: 1.33, -7\/53, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is ((-42653)\/(-579))\/(119\/84)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*n - 20, -3*v + n - 1 = -0. Let x(i) = 0*i**2 + 0*i + 2 - i**2 + 3*i - 3. What is x(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -245, 0.06, -0.5, -2, -63?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) be the second derivative of v**4\/4 + 259*v**3 + 201243*v**2\/2 + 47*v + 4. Factor x(d).\nAnswer: 3*(d + 259)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 9 and 102?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 5.99077 rounded to 2 decimal places?\nAnswer: 5.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g = 0, -4*g + 14 = -w + 3*w. Let x(p) = 2*p - 8. Let j be x(w). What is the greatest common divisor of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n = -27 - 13. Suppose n*l - 6*l = 0. Let o = 4564\/3 - 1521. Which is the smallest value? (a) l (b) o (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (8*t**2 + 1 - 1)*(0*t + 0*t - t)*(-t - t + 0*t).\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 49\/2, 3, -0.38, -1, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 67166?\nAnswer: 2, 11, 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 5668488 a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*n + 15 = 50. Suppose n*h = a - 75, -h + 0*a = -2*a + 24. Is (h\/(-35) - (-1543)\/(-20))*-4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4*c**4 - 245*c**2 + 190*c - 4 wrt c?\nAnswer: -48*c**2 - 490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 5*s**2 + 5. Let h(z) = 6*z**2 + z + 8. Let m(n) = 2*h(n) - 3*j(n). Let l(c) = 2*c**2 - 2*c - 1. What is 4*l(f) + 3*m(f)?\nAnswer: -f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = 170.9 + -171. Which is the nearest to -4? (a) 0.52 (b) 0 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 5 + -28 + 21 - (0 - -4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 60, 48, 18, -36, -120, -240, -402, -612?\nAnswer: -876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9\/(45\/31) - 6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3427 + -3367. Let v be ((2 - -1) + -2)\/(-10). Which is the nearest to t? (a) -1 (b) 2\/13 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -r**2 + 8*r + 13. Let g be (0 - 10)*(-4)\/1. Let l be (g\/14)\/((-4)\/(-14)). Let h be i(l). Let u(o) = -o**2 - 8*o - 5. Determine u(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 84*t + 193 - 29*t - 23*t + 834 - 33*t.\nAnswer: -t + 1027","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1, 4\/195, 3\/119?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 4267.309357 minus 178501?\nAnswer: -174233.690643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -cab24b (base 14) to base 8.\nAnswer: -32147323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 8*w + 147. What is g(-14)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 27\/20 or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b = -111 + 190. Suppose 6 + 45 = -5*l - 2*k, -10 = -5*k. Let q = l + b. Is 34 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -12*x**3 + 157863*x**2 + 16644*x + 6 wrt x?\nAnswer: -72*x + 315726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 6 + 13e?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -3*p**4 + 61*p**3 + 521 wrt p?\nAnswer: -12*p**3 + 183*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 12664 and 14?\nAnswer: 88648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7670?\nAnswer: 2, 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Determine x so that 3*x**2 - 8147*x + 5430 = 0.\nAnswer: 2\/3, 2715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-4)\/8)\/(2\/(-44)). Suppose w*x - 151 = 10*x. What are the prime factors of x?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 79851841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -28 - 7*t + t + t**2 + 22. Let b be l(7). Let d(i) = -i**2 + 5*i - 3. Let q be d(4). Calculate the highest common divisor of q and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 338005 - -1?\nAnswer: 338006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -0.303 times 5.8?\nAnswer: -1.7574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 327.779 times 1.7?\nAnswer: 557.2243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 b and 1 f when three letters picked without replacement from {b: 2, f: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 9955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 692478 is divided by 62950?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rrrrrrrrr. What is prob of sequence rr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t be -1 + (0 + 1)*-5. Let i = -1 + t. Let z = -5 - i. What is the remainder when z is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -106*q**3 + 21*q**2 + 23*q + 22. Does 50 divide m(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -32\/2889 and 31\/1070.\nAnswer: 28890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f be 42\/(-4) + 3\/6. Let q be (-5)\/(-5) + 2\/f. Let m be 56\/18 + 2 + 2\/(-18). Put m, q, 0.3 in increasing order.\nAnswer: 0.3, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 15 = 9. Let b be (-2)\/w - (-7118)\/(-8). What is b rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10.8689 + 0.5?\nAnswer: -10.3689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1408 is divided by 116?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5952 - 5247. Which is bigger: 704 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -166, -1417, -4816, -11437, -22354?\nAnswer: -38641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 4034 (base 6) to base 11.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = o - 10. Let m be k(10). Let b(z) = z + 31. Is b(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 93955152.\nAnswer: 2, 3, 19, 71, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -l**3 - 3*l**2 - 8*l - 4. Let f(q) = 3*q**2 + 8*q + 3. Give 2*c(w) + 3*f(w).\nAnswer: -2*w**3 + 3*w**2 + 8*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 630830?\nAnswer: 2, 5, 199, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -10\/51 and 149\/24.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 2311151 (base 12) in base 3?\nAnswer: 110200111002121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 112 - 76. Suppose -12 = 4*k, 3*k = -5*y + 20 + a. Put y, 2, -2 in increasing order.\nAnswer: -2, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -2*t**3 + 15*t**2 + 29*t - 32. Let z(m) = m**3 - 8*m**2 - 14*m + 16. Let u(i) = -2*w(i) - 5*z(i). Give u(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -773.09644 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (9 - 5829)\/(-5) + -18 is divided by 573.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j + k - 12 = 0, 0*j + 22 = j + 5*k. Let h(g) be the second derivative of 1\/2*g**3 + 3\/2*g**2 - j*g + 0. Differentiate h(i) wrt i.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = o - 2*o. Suppose -t - 60 = -o*t. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -13*m**3 + 50*m**3 - 2*m**2 + 1210*m - 1215*m + 46*m**3 as j*m**3 + u*m**2 + c*m + b and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7 - 932*w**2 + 64*w**2 + 7 + 31*w**2.\nAnswer: -837*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = b. Let s(j) = j**2 + 3*j - 3. Let u(a) = -2*a**2 - 4*a + 4. Let i = -4 + 6. Suppose 0 = -i*w + w + 3. Let v(l) = w*u(l) + 4*s(l). Give v(t(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -18 + 27*c**2 - 27*c**2 - 21 + 2*c**3 to the form t*c**3 + s + d*c**2 + z*c and give s.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 5824 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-5672)\/12 - (-10 + 10). Let f = m + 472. Sort f, 0, 0.05, -2.\nAnswer: -2, f, 0, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*s + 50*s = 111 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -0.06, -426, -4, 4\/9, -3, -2\/107?\nAnswer: -426","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -l. Let h(g) = -2*g**2 - 3*g - 3. Let c(p) be the first derivative of -p**3\/3 - p**2\/2 - p - 11. Let y(q) = -3*c(q) + h(q). Determine t(y(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 51047 or 48393?\nAnswer: 48393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 25, 36, 55, 82, 117, 160?\n\"Answer: 4*w**2 - w + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = t**3 - 7*t**2 - 8*t + 13. What is h(7)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -25054 + -4?\nAnswer: -25060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.12 and -103981.\nAnswer: -12477.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 29 divided by 117.\nAnswer: 29\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -337*w = 2710*w + 902*w - 373*w - 261048 for w.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 8978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -s**3 - 5*s**2 + 5*s + 5. Suppose -4*i - 45 = -3*q - 36, -5*q - 13 = -2*i. Calculate h(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 24571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -4*k**2 - 80*k + 803. Calculate w(-26).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-6)\/(-4)*(-2)\/5. Let o be (-7 + (-325)\/(-45))*33\/(-16). Let q = o - -9\/8. What is the nearest to -0.2 in n, q, -3\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -304 times -8?\nAnswer: 2432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -u**3 + 5*u**2 - 2*u + 4. Let v be y(4). Suppose 0 = 3*c - x + 11, -v = -3*c - 4*x - 43. Let r(f) = f**3 + 5*f**2 - 2*f - 6. Is r(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -821, -822, -823, -824, -825?\n\"Answer: -o - 820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.1 + 4.9. Let c = -0.04 - -0.05. Let p = c + 1.99. Put 4, w, p in increasing order.\nAnswer: p, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - 4*b + 18 = -3*f, -2*f = 4*b. Suppose 0 = b*p - u - 32, -3*p + 13 + 35 = -u. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j**2 - 82036*j - 1229640 = 0. What is j?\nAnswer: -20494, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1\/(1999030\/666340 - (3 + 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 3*x = -2*x. Suppose x = 3*g - 9 + 48. Is -15 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*x + 49*x**3 - 5 + 6*x - 141*x**3 - 5*x + 11 to the form k*x**3 + g*x + m*x**2 + j and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l + 10 = l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m be 61 + 2\/(-2) - 0. Suppose 10*q + 0*q = m. Let g(n) = -n**2 + 8*n - 9. Calculate g(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2.1? (a) 0.07 (b) -3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -84 - 115 - 329 = -24*x for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-45*z - 427 + 427)*(70*z**3 - 14*z**3 + 67*z**3).\nAnswer: -5535*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*b = -11486 + 11453 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:19 AM and 12:41 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p = -373 - -376. Suppose 1\/2*r**3 + p*r**2 + 0 + 9\/2*r = 0. What is r?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:59 PM and 8:43 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*a + a + 12 = r, 0 = 4*a - 2*r + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 4 divided by 57\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*h**5 - 30247*h**2 + 51805*h wrt h.\nAnswer: 40*h**3 - 60494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 1 (b) -1\/2 (c) 0.2 (d) 8 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 136*p**2 - 429*p + 2. Let b(a) = -11*a. Calculate b(s(f)).\nAnswer: -1496*f**2 + 4719*f - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.2, -44, -6\/13, -6, 2\/89?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1304 = -296*d + 297*d. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 678 a factor of 3798156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 120786352?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v - 7 = 4*s + 5, -2*v = 9 + 24 - 29 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4070 is divided by 204.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express -3*v + 3 - v**3 - 2 - 11*v + 2*v in the form y*v**3 + h + f*v + a*v**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = i - 3*c - 176, 0 = -4*i - 2*c + 497 + 165. Let n(b) = -6*b**2 + 3*b - 6. Let v be n(4). Let g = v + i. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 13\/5 + -12\/5. Factor -3\/5*j + 2\/5*j**2 + 1\/5*j**5 - 3\/5*j**4 + q + 2\/5*j**3.\nAnswer: (j - 1)**4*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2 and (-42)\/6*4\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5\/((-5)\/2))\/((-99)\/(31185\/210)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w = 4*w - g - 51, -3*g + 287 = 5*w. What is the greatest common divisor of w and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 2*f**3 - 3*f**2. Let y be 121 - ((0 - -2) + 0). Let k be 6\/(-39) + y\/13. Suppose k = 3*i + 3*r, -r + 4*r = i + 1. Give t(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -3\/48722?\nAnswer: -3\/48722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence odic when four letters picked without replacement from {o: 1, i: 1, c: 1, d: 1, z: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 76*r. Let l(j) = -j**2 - 80766*j + 12. Determine l(n(z)).\nAnswer: -5776*z**2 - 6138216*z + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = 6 + -1. Let l = n + -5. Solve k + 2 - 5 = l for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 8202 and 33.\nAnswer: 90222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -3 - (-6 + 3) - (48 + -124 + -78)\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -271366752*o**3 - 2150*o - 15388?\nAnswer: -1628200512*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -439, -1470, -3149, -5482, -8475?\n\"Answer: -m**3 - 318*m**2 - 70*m - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 488*q - 481*q - 1638. Let h = -222 + q. Calculate the remainder when 29 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 13 - (1 + 19)\/(11*-1 + (-40946)\/(-3470)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -44*x**6 - 4*x**5 + 44*x**2 + 2 wrt x?\nAnswer: -5280*x**3 - 240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -409*f**3 + 1287*f**3 - 2*f + f**2 + 599*f**3 + 5*f - 5*f.\nAnswer: 1477*f**3 + f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1767 - 1876. Put -3, t, 4, -0.3 in increasing order.\nAnswer: t, -3, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/5 in -17.612, -3, 1\/6, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -1991 + 2011 - 12*f**3 + 31*f**3 - 15*f**2 + 2*f + (3 - 1 - 1)*(-4 - f**3 + 4) as n*f**2 + v + k*f**3 + g*f and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 7*t**2 - 6*t + 4. Let s(o) = 6*o**2 - 6*o + 4. Let u be (-1)\/2*-2 - -5. Let x(i) = u*s(i) - 5*l(i). Suppose 0 = 3*b - 17 + 2. Give x(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -0.4, -8, 0.09, 58, -19?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -210 - -212. Sort 12, -4, -5, x in decreasing order.\nAnswer: 12, x, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-770)\/88 - (135\/(-5))\/3. Let f(p) = -p - 2. Let b be f(-3). Let h = 0.31 - -0.09. What is the third biggest value in b, h, -0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*q + q + q)*(0*q**4 - q**4 + 0*q**4) + (-8 + 7 - 2*q - 4)*(2*q**4 + q**4 + q**4).\nAnswer: -10*q**5 - 20*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-2)\/(-4))\/((-3)\/12). Suppose l + 1 = -3*q - 10, 4*l - 5*q = 41. Let a be 8\/l*(-7)\/o. Solve 4*p - 5*x + a = 0, 0 = 2*x - 0 + 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3045\/6594)\/(-29)*(-208)\/260.\nAnswer: 2\/157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 5*m**2 - 3*m - 20. Let w(l) = 11*l**2 - 5*l - 39. Let o(u) = -5*i(u) + 3*w(u). What is the derivative of o(h) wrt h?\nAnswer: 16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3015 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -t**3 + 3*t**2 + 11*t - 22. Let a be d(3). Solve -6*r - 15 = -a*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 154*w**3 - 10*w + 6. Let d(a) = 156*a**3 - 12*a + 7. Give -5*d(q) + 6*i(q).\nAnswer: 144*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a be 10 + -11 - 6\/2. Let j be (-40)\/(-15)*(-42)\/a. Suppose 0 = -0*w - 2*w + j. Solve 30 = -5*c + 5*g, -3*g + 0*g = -2*c - w for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 1, l: 5, t: 6, a: 1, i: 2, j: 2}. What is prob of picking 1 a, 1 c, and 1 l?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = q**2 - 9*q + 7. Suppose -26*f - 30 = -31*f. What is i(f)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3063 + 3064.008. Let r = -1 - -0.992. Let w = t + r. Which is the closest to w? (a) 1 (b) -0.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 488, 973, 1460, 1949, 2440, 2933, 3428?\nAnswer: 3925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -265256 (base 8) in base 7?\nAnswer: -534455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5 - -3. Suppose -13*d + 10*d = 45. Let a be (d\/(-6))\/(1\/(-2)). What is the third smallest value in a, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 7*c**2 + 3*c - 3. Let w be h(1). Put w, 0, -1, -4 in ascending order.\nAnswer: -4, -1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 15\/4 - 17*s - 7*s**3 + 39\/2*s**2 + 3\/4*s**4 = 0. Calculate s.\nAnswer: 1\/3, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1830 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -3550, -14205, -31950, -56773, -88662, -127605, -173590, -226605?\n\"Answer: 2*g**3 - 3557*g**2 + 2*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -9*p - 242. Let c = -9880 - -9853. Give v(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -383380 by -95845.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -57\/755 and -8.\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = -16 + 10. Let w(v) = v - 36 - 9*v + 3*v. Let m be w(-6). Are q and m unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -105034*r**2 - 75*r. Let c(f) = -3*f. Determine c(w(s)).\nAnswer: 315102*s**2 + 225*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 19*x - 17. Let i be (-4)\/3*(0 + 3). Let s = -52 - -61. Let p(m) = 9*m - 8. Let z(v) = i*k(v) + s*p(v). Differentiate z(w) with respect to w.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 6, -28, -3, -424.\nAnswer: -424, -28, -3, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 1222 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 242000 (base 6) to base 13\nAnswer: 9834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) be the second derivative of 79\/10*u**5 - 1\/6*u**3 + 0 + 9*u**2 - 173*u + 0*u**4. Find the second derivative of r(f) wrt f.\nAnswer: 948*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -1116 and -1116 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - (7 - (1 + 5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) be the first derivative of 3*l**2\/2 - 535. Let c(k) be the second derivative of -k**4\/12 - 7*k**2\/2 - 8*k. Determine u(c(f)).\nAnswer: -3*f**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -2.80731 * -1935\nAnswer: 5432.14485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Multiply -7878659 and 0.1.\nAnswer: -787865.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 2, r: 7, j: 7, c: 2}. Give prob of sequence xx.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 0.6617056 to 2 decimal places.\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ccccccccccccf. Give prob of picking 3 f and 1 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = -83 - -26. Let c = -11 - i. What is the units digit of c\/(-391) - 2826\/(-34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -8*b**5 + 30*b**4 + 5*b**3 - 382279*b.\nAnswer: -160*b**3 + 360*b**2 + 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zuzzzeupzzztu. Give prob of sequence uz.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 158*h**4 + 2049*h**3 - 3263828*h?\nAnswer: 1896*h**2 + 12294*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -2*d**2 - 33*d - 2. What is the tens digit of x(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 3\/(2 - -1)*0\/1. Suppose b = -h - 4*h + 45. Solve 0*j - 3*j = a + h, -3*a - 3*j - 9 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 3*f**2. Let s(g) = -g - 5. Let n be s(-5). Suppose -2*y + y + 7 = n. Let z(b) = -4*b + y*b - 2*b**2 - 3*b. Determine z(j(o)).\nAnswer: -18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i be -1 - 1 - (-3)\/1. Let v be -1 + i*(-3 - -1). Let m(o) = -5*o + 4*o + 1 - o. What is m(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*s - 6 - 0. Suppose -5*g - 18 = -s. Let q be (-40)\/(-6) + g\/(-9). Solve 4*i + 9 = -q for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4740.697 micrometers in meters?\nAnswer: 0.004740697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 75*j + 35*j - 1593130 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -5513*u + 79 - 79 + 1580*u as l*u + x and give l.\nAnswer: -3933","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -263*a**2 + 2 - 2.\nAnswer: -263*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 274 and 30?\nAnswer: 4110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = 47*v + 15. Let q be c(-11). Let t = -113 - q. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 17 + 3)*(k - 2 + 2 + 15*k - 4*k + 13*k + (-2 - 3 + 3)*(-k + 2*k + 0*k)).\nAnswer: -391*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 1, t: 10, x: 1, h: 2, n: 3, f: 1}. Give prob of sequence nt.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 41\/2 of a millimeter?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + ((sqrt(77) - 2*sqrt(77))*-1)\/(sqrt(28)*-6).\nAnswer: -sqrt(11)\/12 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 312 - 22153\/71. Let u = l - -75\/284. Factor -1\/4*n - 1\/4*n**2 + 0 + 1\/4*n**3 + u*n**4.\nAnswer: n*(n - 1)*(n + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 times -105\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = d - 2. Let f be z(6). Suppose 0 = 5*p - 2*i - 182, -p - f*p + i = -181. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g = 2*g. Suppose 0 = 5*b - 4*p + 15, -3*p + 35 = -3*b + 23. Let a = 7 - 10. Sort a, g, b in descending order.\nAnswer: b, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -219 + 536 = 35*u + 212. Find m such that -24\/7*m**2 + u*m - 15\/7*m**3 + 18\/7 = 0.\nAnswer: -2, -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -10*j + 285. What is u(29)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 44929587 and 10524.\nAnswer: 2631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4*2.14133.\nAnswer: -8.56532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 22*w + 5. Suppose -f + 5 = 2. Suppose 4*k = 3*o - 27, f*o + 0*k + 4*k = 27. Is u(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:50 PM and 7:50 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = -11480 - -688891\/60. Let x = 444 - 2221\/5. Find the common denominator of q and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find o such that -2*o**3\/17 - 1682*o**2\/17 - 126832*o\/17 + 260408\/17 = 0.\nAnswer: -757, -86, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2242142102 - 0?\nAnswer: -2242142102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -120 + 330503466?\nAnswer: 330503346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -30837482, -30837484, -30837486, -30837488?\nAnswer: -30837490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 24*a**2 + 11*a - 31. Let c be w(9). Suppose 578 = -3*y + c. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 3062622 or 3062623?\nAnswer: 3062623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/q**(1\/15)*q*q*q**23)\/((q**0\/q)\/(q*q\/(q\/q**(-2\/23)))) assuming q is positive.\nAnswer: q**(9607\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u be -3*69\/(-9) - 4. Solve 4 - u = -5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 331, 662, 993, 1324, 1655, 1986?\nAnswer: 2317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -8*l. Let q(c) be the first derivative of 33*c**2\/2 + 55967. Let b be (-35)\/4 + (-1)\/4. Calculate b*u(k) - 2*q(k).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -20331 (base 4) to base 14.\nAnswer: -2cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 90\/20*(-192)\/(-108)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p be -36*(0 - 1\/2). Let s be -14 + (-23)\/(6 - 7). Calculate the highest common divisor of s and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1188 and 81378?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-2 - -17)\/(6\/20). Suppose 0*o - q = -5*o. Suppose -54 = -4*m - o. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1\/11 (b) -12866211 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 236265 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = -24750 - -24755. Solve -2*h - w = -5*l, 70*h = 67*h - 3*l + 24 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -31*x. Let r(b) = -b**2 - 3*b. What is s(r(d))?\nAnswer: 31*d**2 + 93*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -a**3 - 62*a**2 + 557*a - 170. Determine t(-70).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 70007, 139575, 209143?\n\"Answer: 69568*m + 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence phl when three letters picked without replacement from hnhpl.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1\/(-1908) + 0\/(-11). Is 1 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4620 and 90?\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 21042*v. Let a(h) = -2*h**2 - 568. Give a(f(z)).\nAnswer: -885531528*z**2 - 568","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Let k(v) = v**3 - 5*v**2 + 5*v - 44. What is the remainder when 635 is divided by k(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - 1) + -4 - (-3 - 7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 5 (b) -0.2 (c) -4 (d) -12 (e) 214\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 130368479, 130368481, 130368483, 130368485, 130368487?\n\"Answer: 2*r + 130368477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4130272120 to the nearest integer?\nAnswer: 1604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c = 25634407 - 538558151\/21. Let r = c - -11222. Find the common denominator of 61\/77 and r.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-9)\/(-2)*2*-1. Suppose 26 = -z - 3*f + 2, -16 = 4*z - 4*f. Let n = z - k. Solve 0 = -5*d - c - 5, n = 4*d - 3*c + 6*c - 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-o + 3*o - 4*o)*(0*o - 4*o + 3*o) + 84*o**2 + 265 - 81*o**2 - 258.\nAnswer: 5*o**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 4630, 7732, 10834, 13936, 17038?\n\"Answer: 3102*z + 1528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 8*c**2 + 2. Let g be d(-3). Let h = -153\/2 + g. Let u = -13 - -9. Sort h, u, 5 in decreasing order.\nAnswer: 5, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*r**2 + 3*r**2 + 168*r**3.\nAnswer: 168*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1061, 2268, 3699, 5360, 7257, 9396, 11783, 14424?\nAnswer: 17325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 49.9999989 + -50. What is o rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 times 0.49\nAnswer: -0.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 1425, 1390, 1355?\n\"Answer: -35*o + 1460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3590 is divided by 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 56, 2, 4 in ascending order.\nAnswer: 2, 4, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in 0, 0.22, 39, 4\/23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 62 minutes after 7:16 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n - 97000 = 8000. Let v be (-609)\/(-2)*n\/9. Round v to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*n - 5*n. What is the third derivative of 2*j**3 + 23*j**2 - 2*j**3 + n + 2 - 2*j**3 - 42*j**5 wrt j?\nAnswer: -2520*j**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-4)\/18 - (-2)\/9. Which is greater: b or -38?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-67152)\/(-5) + 28\/(-70). Suppose 17*f - j = 16*f. Suppose -3136 - f = -6*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -214 - -219. Suppose c*n + 5*w - 790 = 0, 5*w - 106 = -n + 40. What are the prime factors of n?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -8404755 or -8404752?\nAnswer: -8404755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*w**3 - 20*w**2 + 34*w - 16.\nAnswer: 2*(w - 8)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 177 is divided by 92?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 64719.41 decades to years.\nAnswer: 647194.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -4 + 75*y + 91*y + 11*y + 75*y - 33*y in the form f*y + v and give f.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - 48 + 8 = 0. Suppose c = -3*c - 2*l + 10, -4*l + y = 4*c. Suppose 4*z - 52 = -3*g, -c*g - 1 = -13. What is the greatest common divisor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine p so that -3*p**3 + 264*p**2 + 15132*p + 29184 = 0.\nAnswer: -38, -2, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -89*u + 637. Let h be x(7). Solve 2*s - 4*d = -h, -2*s - s + d = 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) be the third derivative of 71*d**5\/20 - 19*d**4\/12 + 111*d**2. What is the second derivative of i(u) wrt u?\nAnswer: 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 1+153051\nAnswer: 153052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in seven eighths of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-75)\/50*8\/90?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 20209228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -v**3 - 4*v**2 - 2. Let j be u(-4). Let o be 4\/(j*(-3)\/6). Suppose -4*i = -0*k - 4*k - o, 15 = 5*i. What is the remainder when 5 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1184*f**2*g**3 - 45*f**2 - 1621*g**3 - 141 with respect to f.\nAnswer: -2368*f*g**3 - 90*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -294 = -927*m + 906*m for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i be 16\/6 + 1\/3. Suppose -m + i = -13. Suppose -229*c - 60 = -238*c + 183. What is the remainder when c is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**(1\/2)*d*d**(-3)*d*d**(10\/9)\/(d**(1\/10)\/d) assuming d is positive.\nAnswer: d**(68\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29*b - 8*b + 4*b = -1056. Solve 0 = -b*t + 42*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 43.78603mm in centimeters?\nAnswer: 4.378603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 20909639 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) be the first derivative of -i**2\/2 + 3*i - 4. Determine w(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -8\/9377 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1\/3 (b) 2\/93 (c) 3 (d) -1.9 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z**(2\/3)*z)**(-18)*z**(-4\/9)*z**(-2) assuming z is positive.\nAnswer: z**(-454\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3.16 + 2.96. Put -2\/3, h, -0.3, 2 in decreasing order.\nAnswer: 2, h, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -90697.167 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -a20 - -4?\nAnswer: -a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Product of 1.1 and 4346228.\nAnswer: 4780850.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0 + 3*l - 745*l + 1 - 1 to w + d*l and give d.\nAnswer: -742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:23 PM and 1:28 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -15*g**3*x**2 + 2*g**3*x - 35*g**2*h**2*x + 13*g**2*h*x - 2*g**2 - 16867*h**2*x**2 - 51*h**2*x wrt x?\nAnswer: -30*g**3 - 33734*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1, -16, -51, -110, -199?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l**2 + 8512*l - 9056768 = 0.\nAnswer: 2128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v = 3*l - 9, 2*v + 3 = 4*l - 5. Let y be (-12)\/(-2) - 24\/6. Let f be -3*1*y\/v. Solve t + 3 = -5*g, -4*g + g = t + f for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-62)\/9*-3*46\/((-1840)\/60)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -243.6 + 237.73. Is a less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 13842983, 13842991, 13842999, 13843007?\n\"Answer: 8*w + 13842975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1131283 is divided by 1235?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 613385531.\nAnswer: 11, 19, 2934859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 110 and 440.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -276 = -11*x + 4344. Calculate the highest common factor of x and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -18881*i**3*p**2 + 2*i**3*p + 6*i**3 + 18*i*p + 37*p wrt p.\nAnswer: -37762*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*sqrt(52) - (sqrt(52) + 0)) + 4 + sqrt(39)\/sqrt(3) + -3 + -4 + (sqrt(325)*6 - sqrt(468)*-3))**2.\nAnswer: -330*sqrt(13) + 39334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.03*71433.76.\nAnswer: 2143.0128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -100*p + 106*p - 7128. Let i = -5938\/5 + p. Factor -4\/5*d**2 + 0*d**4 + 6\/5*d**3 + 0 - i*d**5 + 0*d.\nAnswer: -2*d**2*(d - 1)**2*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -661 - -672. Let b(l) = 11*l**2 - 9*l + 11. Is b(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 4 = 2*d. Let j be -3*(-2 - 3\/d). Let c = j + 1. Calculate the remainder when c is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 645 - 4?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = 24 + -22. Let h = p + 5. What is the remainder when h is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 2*j - 4. Let w be n(5). Let s(t) = 6*t**2 - 123*t - 674. Let m be s(25). Sort m, 17, w.\nAnswer: m, w, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -2*g + 3. Let h = -586 + 590. Let z(p) = -3*p + 3. What is h*z(v) - 5*o(v)?\nAnswer: -2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -3*r + 18. Let x be u(7). Let o = x + 6. Suppose -3*n + 2*n = -k + o, 3*k = -n + 5. Solve q + 0*q = -k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) be the first derivative of 9*r**2\/2 - 2*r + 3. Let t be k(2). Calculate the highest common divisor of 40 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 bigger than 9335\/31982?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 23\/3? (a) -6\/5 (b) -0.06 (c) -2\/771\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -o**3 + 87*o**2 - 218*o + 321. What is the thousands digit of u(84)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 571.966 + -404477.966. Let a = 403905.639923 + p. Let q = a - -0.36. Round q to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38725 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uxxxxxuxxuu. Give prob of picking 2 x and 2 u.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -0.111 times 0.2\nAnswer: -0.0222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of b*i**3*m*s**2 - 3*b*i**2*m*s + 2*b*m*s**2 - 6*b*s - i**3*m*s - 9*i**2*m*s**2 + m wrt s.\nAnswer: 2*b*i**3*m + 4*b*m - 18*i**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 577 is divided by 279.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -w - 1. Let q be 4\/4 + -1 + -7. Let u = -10 - q. Let n(a) = -a**2 + 6*a + 4. Let g(x) = u*d(x) - n(x). Calculate g(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 220 (base 5) in base 7?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 352858 to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 125455837 is divided by 62478.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4587 in 0.2, 0.3, -3\/29, -8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -n - 33. Let j be m(-19). Let i = j - 20. Let o = -28 - i. Solve 0 = 2*s - 5*s + o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (6\/3)\/2*4\/(-6)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -273990 (base 12) to base 2\nAnswer: -10011110100010111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q - 4*y + 223 = 0, 0*y = -5*q + 4*y + 207. Calculate the remainder when q is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -12166, 30, 0, 17 in descending order.\nAnswer: 30, 17, 0, -12166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-4088)\/(-12))\/((-2)\/15). Let p be z\/(-20) + 6\/(-8). Suppose 5*f - p = 68. What are the prime factors of f?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**(1\/5))**(-2\/79)*b**(-1)\/b*b**(-1))**17 assuming b is positive.\nAnswer: b**(-20179\/395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + 5 = 6*j. Let r = -5 + 9. Put j, r, -1 in decreasing order.\nAnswer: r, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + 2*(sqrt(1728)*-1 + -5 + -5))**2*-6*1.\nAnswer: -43416 - 10368*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2\/6 - 11\/(-3). Suppose -4*t = -5*h - 5, a*t = -3*h + 2*h + 23. Solve t + 1 = 2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-246)\/(-205)*-10*1\/(-3). Let b(a) = -7*a**2 + 607*a - 11*a**2 - n - 603*a. Let k(s) = 19*s**2 - 5*s + 5. What is 5*b(t) + 4*k(t)?\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*k + 81 = 11*k. Let j(n) = 114*n**3 + 2*n**2 + 2*n - 2. Let r be j(2). Calculate the remainder when r\/7 - (-8)\/28 is divided by k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eeegoneggenqgq. What is prob of sequence qn?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*u**2 + 291*u - 6726.\nAnswer: -3*(u - 59)*(u - 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 499711 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -h**2 - 3*h + 1. Let v be z(-2). Factor 0 + 0*r + 2\/7*r**2 - 2\/7*r**v.\nAnswer: -2*r**2*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3213963 plus -0.2?\nAnswer: -0.5213963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 164660 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 463 minutes before 10:42 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -5 - -16a5a?\nAnswer: 16a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 4 - 2)*(2 - 6 - 1 + 3 + 2 - 4 + (-4 - 2 + 4)*(1 + 0 - 3) - 3 + 0 + 5 + 3 - 4 - 2)*(-g**4 + g - g).\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = 5*y - 6. Let v(q) = 4*q - 5. Suppose -4*r + 7*l = 5*l - 32, l = 3*r - 23. Calculate r*v(a) - 6*n(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f be 13 + 25\/(-11 + 6). Suppose -i = -4*i + 2*r + 6, f = 4*i + 5*r. Sort 4, 0, 1, i in decreasing order.\nAnswer: 4, i, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0.13 smaller than -10\/123629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = 5354563 - 5354612.00086. Let i = o + 49. Round i to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 496608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3, 31, 67, 105?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.1 * -2876587.\nAnswer: 287658.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11406?\nAnswer: 2, 3, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -a37 - 8648?\nAnswer: -9180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13721?\nAnswer: 13721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 92*z**2 + 272*z + 4. Let s be u(-3). Solve s*j = 19*j - 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -15\/11381 less than or equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -829, 0.1, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {b: 4, a: 7}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = 180 - 179.8. What is the closest to s in 1, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2979 + 4954. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1030543*k + 260963*k - 206544*k + 310898*k.\nAnswer: 1395860*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5*(-126)\/(-180)*2\/(-1218)*-4?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (13 - 5*a**2 - 13)*(2903*a + 3828*a - 631*a).\nAnswer: -30500*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 23876*d**2*f**2*s**3 + d**2*s**3 - d*f**2*s**2 + d*f**2*s - 2*d*f*s**3 - 70304*d*s**3 wrt d.\nAnswer: 47752*f**2*s**3 + 2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x + 108*n - 109*n + 11 = 0, 0 = -3*n + 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*o + 7*o - 5*o)*(-o**2 + 3*o**2 - o**2) + 3*o + o**3 - 5*o + o**3.\nAnswer: 10*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide -180 by -15.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12507529?\nAnswer: 17, 19, 38723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2754 - 13546. What is y rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 152*i + 12. Let q be p(8). Let s = q + -809. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**(-2\/5)\/b)**(11\/4)*b**9\/(b*b**(-2\/25)\/b))**(-5\/8) assuming b is positive.\nAnswer: b**(-523\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10368 = a - 5*t, -615*t + 20756 = 2*a - 620*t. What is the thousands digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 76 and 338108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = 2*w - 536 + 98, -3*w = -2*z - 682. What is the highest common factor of w and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = 10*g + 179 - 179. Let a(o) = -9*o. Give k(a(w)).\nAnswer: -90*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = -14435 + 14437. Solve -4*m - 4*r = -12, 4 - 1 = m + v*r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (1 - 4)\/((1 + -5)\/268). Let g = -204 + n. Put 0, 71, g in decreasing order.\nAnswer: 71, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g = -17*z + 15*z - 152, 5*z - 49 = -g. What is the highest common divisor of g and 3471?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -y**2 + 590*y - 3986. What is x(7)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(4 + -2 + sqrt(2)*-2) + -5.\nAnswer: -11 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) be the second derivative of -p**4\/2 + 5*p**2\/2 + 1121*p - 2. Let g(o) = -5*o + 4. Let l(n) = 6*n - 5. Let j(i) = -5*g(i) - 4*l(i). What is j(c(b))?\nAnswer: -6*b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2805 or -221688\/79?\nAnswer: -2805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1575062 - -0.3.\nAnswer: -1575061.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 100, 2, -3 in increasing order.\nAnswer: -3, 2, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -1 + 8*j**2 + 1 - 5*j**2. Let h(x) be the third derivative of x**5\/30 - 13*x**2. Determine h(b(p)).\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 4*56\/((-2016)\/90)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -t. What is the remainder when 11 is divided by j(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 803.7397kg in nanograms?\nAnswer: 803739700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*z = 9*z + 285. Let f = -227090\/21 + 10817. Calculate the common denominator of f and 4\/18 - z\/(-18).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 920975 bigger than 26\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-one halves of a day in hours?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 32313 (base 5) to base 13\nAnswer: 100b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 10\/11627 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 18 and 9438?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -4, 0.5, -845, 488 in ascending order.\nAnswer: -845, -4, 0.5, 4, 488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.4 and 127033586.\nAnswer: 50813434.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 680 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -36*l**2 + 8*l - 2. Suppose 5*u - 6 = -2*k, -k + 6 = -4*k. Let b be q(u). Is -131 at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 86\/7 + (-4)\/14. Let g be (u\/(-18))\/(2\/168). What is g rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*n**3 + 70*n**2 + 19745*n + 58200 = 0. What is n?\nAnswer: -97\/3, -3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u be 9\/(-24) + 0 + 335\/40. Solve -4*o + u = -2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 73 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = 121 - 119. Suppose 4*x - 5*i = 9, -4*x - c*i + 18 = -2*x. Solve x*v - 8 = 10*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 105 - 63. Let n = -40.3 + t. Let f = 0.365 - 0.165. Is n smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + (sqrt(1573) - (sqrt(1573)*-1 - sqrt(1573))) - (sqrt(1573) + 3 + -5) - (-5 + sqrt(1573) + 2*-2*sqrt(1573) + 3))**2.\nAnswer: 990*sqrt(13) + 39406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h + 9*x - 4*x + 10 = 0, 3*x + 37 = 5*h. Suppose h*j + 4*k + 55 = 3*k, -3*k = 15. Calculate the common denominator of j\/75 - 723\/(-360) and 49\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10944 divided by 2?\nAnswer: -5472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -39.2 <= 0.448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 282 = -2*v, 0*o - 262 = -2*v - 2*o. Suppose v = 32*z - 31*z. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1064 (b) -0.07 (c) 9712\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = b**3 + 7*b**2 + 6*b - 4. Let m(z) = -z**3 - 4*z**2 + 5*z + 4. Let f = 2 - 7. Let a be m(f). Suppose -5 = -a*r - 29. What is h(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -4*k. Suppose -31 = -3*f + 5. Suppose f*y - 21 = 27. Let a(g) = -6*g + y*g + 217 - 217. Calculate a(p(w)).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7132615?\nAnswer: 5, 7, 203789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -k**4 + 14*k**3 + 14*k**2 - 3645*k wrt k.\nAnswer: -12*k**2 + 84*k + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0010221 rounded to 5 decimal places?\nAnswer: -0.00102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -3*m**3 + 2*m - 4. Suppose 28 = 9*f - 17. Let x(s) = -s**3 + s - 2. Suppose b + 0*h - 8 = -2*h, -2*b - 5*h = -21. Determine b*i(j) + f*x(j).\nAnswer: j**3 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -187*z - 277*z + 152*z.\nAnswer: -312*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -524a + -2?\nAnswer: -5251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - 35 = p, -76*p - 4*t + 28 = -75*p. Sort -9, 2, -5, p.\nAnswer: -9, -5, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -18*r. Let z(w) = 4*w. Let g(q) = -m(q) - 5*z(q). Let i(k) = -k + 8. Give i(g(u)).\nAnswer: 2*u + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = 8*y - 7. Let u(q) = -q + 1. Suppose -5*p - 125 = -5*m + 45, -m - 30 = p. Let g = p - -38. Suppose -g*s + 4 + 14 = 0. What is s*w(f) + 21*u(f)?\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 627 minutes before 6:04 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*m + 3909 = 2*b + 3907, 2*m + 2 = -2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 29123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 809607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20395257 is divided by 1199720?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 3, j: 9, c: 4, a: 4}. What is prob of sequence jcac?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in -1, 1, -2\/3, 0.3, 0.0483?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t - 4*h - 4 = 0, 5*t - 17 = 4*h - 2*h. Let s = 8 - t. Let c = -14 - -23. What is the lowest common multiple of c and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 9752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from {p: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 1315177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -196*l = 10*l - 1030 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.289 - 4.211. Let q = 569.416 + -574. Let c = q - w. Round c to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 69\/(-195) - (-6)\/15. Let q = z - -2\/13. What is the smallest value in -0.3, 1\/2, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 258208546.\nAnswer: 2, 17, 317, 23957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/(-14) + (8 - 2) + -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2736) + 4)*5 - -3*(-5 + sqrt(2736)))**2.\nAnswer: 960*sqrt(19) + 175129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 1.517471mm?\nAnswer: 1517.471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -3\/5, 2, 3\/5, 4, 129, 23?\nAnswer: 129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1650 - -3640. Suppose c + 0*s + 3*s - 1078 = 0, 0 = -5*c + 5*s + l. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - w - 21 = 0, f - 34 = -4*f + 2*w. Is 1 + f\/4 - -916 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1)\/(-2*1\/22). Suppose 2*f - 2*b - o = 21, -f = 5*b + 14. Does 7 divide (6 - 4) + f + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*5*(sqrt(121) + (sqrt(121) - 1*sqrt(121)) + sqrt(121))*6)\/((-3*2*sqrt(33))\/(sqrt(192)\/sqrt(4))).\nAnswer: -40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1817 - -1840.71. Let y = -0.71 + r. Let b = 22.8 - y. Round b to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*a - 4*a + a)*((0*a + a + a)*(1 - 1 + a) + 3 + a**2 - 3 + (-2*a + a + 0*a)*(0 - 7 - 1)*(-6*a + a + a)).\nAnswer: 29*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*b - 655 - b + 361 + 440.\nAnswer: -b + 146","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(-4)*w**(-14)\/w*w)\/(w**11\/(w*w**(-10))))**(-6) assuming w is positive.\nAnswer: w**228","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 0, 16, 58, 138, 268?\n\"Answer: 2*l**3 + l**2 - l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is g in 5329*g**5 - 5475*g**4 - 21169*g**3 + 21899*g**2 - 588*g + 4 = 0?\nAnswer: -2, 1\/73, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r = -26 + 33. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.081663564 to 3 dps.\nAnswer: 0.082","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Suppose -h = -3*m + 50, 0 = -5*m - 17*h + 16*h + 70. Suppose -7*n + 2*n + 60 = 0. Let t = m - n. Solve 4*b = 2*p + 2, 0 = -8*p + t*p - 3*b - 18 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(2430))\/sqrt(10) + ((sqrt(132)\/sqrt(4))\/sqrt(11) - sqrt(3))*6.\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 206367 + -70164909\/340. Find the common denominator of 75\/34 and f.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 55\/23 (b) 0.04 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 6*w + 2. Let z(j) = 8*j + 1 + 7*j - 10*j. Let k(q) = -3*p(q) + 4*z(q). Calculate k(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0 + 0. Suppose -3*c - 69 = -3*g - 0*g, 3*g - 4*c - 73 = x. Suppose -4*p + 5 = -g. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xl when two letters picked without replacement from xlll.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -107\/47960162 and -87\/4216?\nAnswer: 191840648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -1966, -3939, -5900, -7849, -9786?\n\"Answer: 6*x**2 - 1991*x + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 147566 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 19410303851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 784699 is divided by 124.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2 (b) -89 (c) 2\/11 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 231782411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) be the third derivative of j**4\/12 + 2*j**3 + 5*j**2. Let x be k(0). Let s(a) = -2 - 3*a**3 + 4*a**3 - 4*a**2 + 15*a + 1 - x*a. Calculate s(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 26859, 53713, 80567, 107421, 134275, 161129?\nAnswer: 187983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = n**3 + 6*n**2 - 17*n - 4. Let s be p(-8). Suppose 3*l - 14 = -5, s*c = -5*l + 87. Find the common denominator of -3 - c\/(-19) - -3 and 53\/4.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 624 a factor of 2128734816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 4*l + 12. Let z(n) = -2*n**3 + 5*n**2 - 6*n + 5. Let w be z(2). Let h be c(w). Let b = 1 - 1. What is the nearest to h in -4, b, 0.9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 685 minutes after 4:37 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/(-15)*3\/2)\/(92183\/(-65845)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10012 is divided by 927.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 6*b - 32 = 2*b, 5*i - 35 = -b. Let y(k) be the first derivative of -i - 1\/5*k**2 + 1\/15*k**3 + 1\/5*k. Suppose y(u) = 0. Calculate u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -4*d**3 + 2*d**2 - d. Let g be n(1). Which is bigger: -5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 105 is divided by 2\/(0 - 1\/(-18))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -n**2 - 5*n - 3. Let s be w(-2). Let y be (5\/(-3))\/((-1)\/s). Solve 8 = -2*h, -4*h + 1 = -3*k + y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a and 1 t when two letters picked without replacement from vakkktvqqq.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 9 (b) 3 (c) 44408\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1 at least as big as 97\/204223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand 66*v + 337*v**2 - 8*v**2 + 2*v**3 - 69*v + (2*v**3 + 3*v - 3*v)*(2 - 3 + 2).\nAnswer: 4*v**3 + 329*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand -2 + p**4 - 6*p**3 + 3*p**4 + 7*p**3 + 1 + p**4 - 1 + (p**3 - 2*p**3 + 3*p**3)*(3*p + p - 3*p).\nAnswer: 7*p**4 + p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -113*r**4 + 2*r**3 - r**2 + 6*r + 131 wrt r?\nAnswer: -1356*r**2 + 12*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2079*c + 48 - 125 + 38 + 37 to b*c + z and give b.\nAnswer: 2079","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert -59 (base 10) to base 14.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 355*p + 1839. Let u be l(-5). Solve -u*x - 40 = -74*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 64955928 a multiple of 762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: e81 (base 15) to base 2\nAnswer: 110011000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cl when two letters picked without replacement from {c: 5, o: 1, l: 3, i: 4, b: 5}?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = -2*i - l + 38, 4*i + l - 48 = 0. Let p = i + -1. Differentiate -2 - p*m + m - 12 with respect to m.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 393 is divided by 56.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = 197*j + 227. Let s(m) = -985*m - 1136. Let k(l) = 4*s(l) + 22*x(l). Find the first derivative of k(y) wrt y.\nAnswer: 394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -9806 or 1?\nAnswer: -9806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 6*t**2 + 9*t - 1. Suppose 48 - 13 = 7*g. Let r(k) = -7*k**2 - 10*k + 1. Determine g*r(i) + 6*y(i).\nAnswer: i**2 + 4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8 - (5 + (6 - 0)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 323442 + -121?\nAnswer: 323321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1 + -1b?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Do 4255399\/5 and -7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (((-1)\/(-3))\/((-38)\/513))\/(15\/(-40))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -135.6 + 118. Let p = 3.6 + n. Let d = 18 + p. Which is the biggest value? (a) 5 (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 36347506?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-38)\/(-3))\/((-16)\/(-24)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6144194 to the nearest integer?\nAnswer: 2479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000505 to five decimal places.\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 2, l: 9}. Give prob of sequence jjl.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 6 and 884.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 2, q: 2, f: 7, x: 1}. Give prob of sequence eqff.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 1300.215mg?\nAnswer: 1.300215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be -2*1 + (101 - -1). Let b = -37 - -39. Suppose -5*s - d + 4 = -b*k, 4*k = -5*s + 162. What is the remainder when k is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2 - (-10)\/5*(-62 + 0). Let b = -113 - h. Suppose -1351 - 5066 = -b*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 102793, 411187, 925189, 1644799, 2570017?\nAnswer: 3700843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -2*b + 3. Let j be 40\/(-25)*(-5)\/2. Calculate s(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -55, -139, -305, -577, -979, -1535, -2269?\nAnswer: -3205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 62, 74, 118, 212, 374?\nAnswer: 622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 34703129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*o = -107*o + 4713377. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*r**3 + 4180*r**2 - 55075*r + 93390.\nAnswer: 5*(r - 11)*(r - 2)*(r + 849)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(104)\/sqrt(2))\/((sqrt(20)*-2)\/sqrt(5)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -4 - -1. Let b = -36591\/8 - -4567. Calculate the common denominator of (58\/(-8))\/(o\/8) and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 83217141\/10 - 8313566. Let f = -8159 + b. Calculate the common denominator of ((-176)\/(-22))\/(5\/40*-4*18) and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (0 - 6)\/(5 + -14 + 7). Let l(o) = -2*o - v*o - 9*o. Determine l(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 175*r - 3782958 - 2183504 = -986137. What are the prime factors of r?\nAnswer: 149, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + 279 = -696. Suppose 3*o + 5*i - 2*i - s = 0, -i = -o + 61. Does 21 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/(d\/d**0))**(1\/5)*(d*d\/(d*d\/(d**(1\/4)*d*d)))**(-49))\/((d\/(d**(-1\/2)*d))**(-6\/5)\/((d\/(d**(-3\/4)*d))\/d**(1\/2))) assuming d is positive.\nAnswer: d**(-547\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 25, 59, 153, 337, 641, 1095, 1729?\nAnswer: 2573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1703246903\/154 - -11060151. Let g = -1120\/11 + y. What is the common denominator of g and 85\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -7*b**3 - 30*b**2 + 5*b**4 + 20*b + 40 - 10*b**3 - 8*b**3 + 20*b**3 = 0. Calculate b.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zw when two letters picked without replacement from qzqjowso?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -66*a + b - 16 = -63*a, 4*b = -5*a - 21 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1627, 3617, 6929, 11563, 17519, 24797?\nAnswer: 33397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 - -16 - (2 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o be 21\/((-56)\/(-8)) + (1 - 1). Let k(g) = 2*g + 20. Let s be k(-9). What is the greatest common divisor of s and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (11 - 34 - 4)*(3 - 4 - 2)*(-2*x + 6*x - 2*x).\nAnswer: 162*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is ((-45)\/(-375))\/(6\/10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*q = 3*q - 4*t, 4*q - 6 = -t. Suppose 2*a = 0, -6*c + 28052 = -q*c + 5*a. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -3 - 74?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 41.38664 days to microseconds.\nAnswer: 3575805696000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 0 + -1 + (-2)\/3 - 112321\/(-33).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-70)\/(3 - 16\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -4420.573 to the nearest 10.\nAnswer: -4420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 342 and 36594?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n = -4*o + 2*n + 10, 5*o - 27 = -n. Suppose o*k = 12 + 13. Let q = -7 + k. Put -5, q, 3 in descending order.\nAnswer: 3, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) be the third derivative of -169*i**6\/60 - 145*i**3\/2 + 849*i**2. What is the derivative of d(g) wrt g?\nAnswer: -1014*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 73a367 (base 11) to base 6.\nAnswer: 41222122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1731 is divided by 345?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:43 PM and 5:15 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 2087955 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*d**4 + 4940*d**3 + 49092*d**2 + 112756*d + 68600 = 0 for d.\nAnswer: -1225, -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 17 (base 11) in base 4?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*sqrt(72)*-1)\/((sqrt(40) - 5*(sqrt(40) + sqrt(200)\/sqrt(5)))\/sqrt(10)).\nAnswer: 5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:41 AM and 2:55 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j be -4*(6909\/162)\/(-7). Let y = 1\/27 - j. What is the common denominator of y and -27\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -20010626, -20010618, -20010610, -20010602, -20010594, -20010586?\n\"Answer: 8*y - 20010634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 53\/7 and 61\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Determine o so that -3*o**5 - 24273*o**4 - 49231032*o**3 - 535317072*o**2 + 6651843840*o - 14885299200 = 0.\nAnswer: -4040, -19, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 3234 (base 5) to base 3\nAnswer: 121110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 79364623?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: What is 82546393 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 506 and 9658.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.5 and 5195996.\nAnswer: 2597998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = 3*i**2 + 16*i + 56. Let j be g(-8). Suppose -4*t + j = t. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 4 (b) -0.014 (c) -1 (d) -0.5 (e) -20 (f) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 32835 and 45969.\nAnswer: 229845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 - 8 = 4*t. Let y(x) = x**2 + 4*x + 6. Let d be y(-3). Suppose 5*i = 2*c - 8, d*c + 0*c = -5*i + 12. Solve t*l = k - 8, c*k - 4 = 2*l - 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 690 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r = 3*r + 10, -4*a = 5*r + 471. Which is smaller: a or -125?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*((-1 + sqrt(76)\/sqrt(4) + -5 + sqrt(171) - 3*(1 + sqrt(1539))) + -1*(sqrt(2736)*1 + -4) + -4))**2.\nAnswer: 5670*sqrt(19) + 210204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -o**3 - o**2 - 6*o - 16. Let y be t(-5). Let r = 12 + y. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2.5 - 2.3. Let o = w - -0.2. What is the nearest to 2\/3 in o, -0.2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -21*r + 8. Let b(o) = -5*o + 2. Let n(v) = 9*b(v) - 2*f(v). Let u(w) = -w + 1. What is -n(l) + 2*u(l)?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = 14.45 - 13.4. Let d = -1.050443 + h. Round d to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -1005*t. Let o(i) = i. Calculate c(z) + 670*o(z).\nAnswer: -335*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -21*l + 32*l - 836. Let p = l - 68. Solve p*z = 2*z - 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -5 - -12. What is the smallest common multiple of j and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*g - 3*g + g = 8, g + 36 = -35*l + 45*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Suppose 11874*v - 3163226 = 11852*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 340236*j - 680475. Give f(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 2*b**2. Suppose 106 = -2*a + 130. Let v(j) = 5*j + a*j + 39*j + 25*j. Give z(v(u)).\nAnswer: 13122*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 22622830?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 28645?\nAnswer: 5, 17, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -1504061 (base 10) to base 11\nAnswer: -938029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -203121, -203124, -203129, -203136?\nAnswer: -203145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 2, 0, 5, -342 in increasing order.\nAnswer: -342, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 2 + 4)*(-3 + 3 + 2*d**5) + d**5 - 2*d**5 + 0*d**5 + (0*d + 3*d - 2*d)*(15*d**4 + 48*d**4 + 5*d**4).\nAnswer: 65*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -2*d**2. Let q(w) = -24*w. Let f(l) = -l. Let b(y) = 3*y**2 - 5*y + 6. Let t be b(4). Let o = t - 16. Let s(x) = o*f(x) - q(x). Calculate s(r(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z = 5605 + -5608. Which is the fifth smallest value? (a) z (b) 1 (c) 0.02 (d) 3\/2 (e) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = -5*q - 3 - 1, 2*q - 4*k + 16 = 0. Suppose q = p - 3*w - w - 112, 2*w = -5*p + 538. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 66364214 less than or equal to 66364207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -8 + -24 + 80 + (4 + -4 - 9)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify l\/(l*l\/(l\/((l\/(l**(3\/7)*l))\/l*l*l*l*l*l*l*l)))*l**(-1)*(l\/(l\/(l\/l**(2\/11))))\/(l**(-10\/9)*l) assuming l is positive.\nAnswer: l**(-3910\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1\/5268 - -136811\/827076. What is the common denominator of u and (2 + -7 - -3) + (-15)\/2?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*y + 12 = -3*u, -266*u + 270*u = -3*y - 30 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 8717*l*z**2 - 11*z**2 + 37*z - 1 wrt l?\nAnswer: 8717*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40*f - 109061 - 216539 = 0. What is the thousands digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tbdtd. Give prob of sequence bd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2945801\/9430 - 14843\/82. Let l = -656\/5 + x. Is l >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 36 a factor of 7740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose a + u = 429685, -a + 4*u - 3*u = -429695. Let w = -209690 + a. What is w rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 + 3 = -2*p. Let g(b) = -b + 1. Let f be g(p). Let n = -208 - -210. Solve f + n = -m, -5*s - 50 = 5*m for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = b**3 + 3*b - 110. Give i(0).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b = -4*y - 5*b - 4, 4*b + 20 = 4*y. Suppose -2*m - y*x = -14, -18 = -2*m - 4*x + x. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 3*s**3 - s**2 + 2*s. Let y(g) = -g**2 + 9*g - 6. Let c be y(8). What are the prime factors of v(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.5, -1, 2\/7623, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = b**3 - 4*b**2 + 4*b. Let n be h(3). Let k(p) = p + 5. Let a be k(-9). Let m = a - -5. Is m greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1991 is divided by 161.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2276070*q**2*u**3 + 2273*q**2 + 425*q*u**2 wrt u?\nAnswer: 13656420*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4 + -1. Suppose 0 = -0*h - 3*h. Suppose 0 = -3*s + 6 + 3. Solve -s = -i*y - h for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -3*k**2 - 69 + 2*k**2 + 69 - 21*k**3. Calculate the remainder when 38 is divided by x(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ml when two letters picked without replacement from {f: 2, y: 4, l: 2, z: 1, m: 2, r: 3}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28 = -4*b - 8. Suppose -v - 3 = -2*f - 5, -17 = -5*v + 3*f. Determine k, given that 3*k**2 + 2*k**5 - k**b - k**3 - 2*k**2 - k**v = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = v**2 + v + 1. Let t(c) = -c**3 - 6*c**2 - 3*c - 5. Calculate the remainder when t(-6) is divided by k(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 200800 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 1 (b) 2096 (c) 123 (d) 0.7 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 12209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -10127629 or -10127606?\nAnswer: -10127629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -42 (base 10) in base 2?\nAnswer: -101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be 63\/18 - (-1)\/(-2). Suppose 30 = -j*y + 39. What is the biggest value in 0.4, y, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20163 divided by -47.\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:24 AM and 5:18 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g be 0 - (-2 + 1)\/4. Suppose -113 = 6*w - 113. Determine l so that 1\/2*l**2 + g*l + 1\/4*l**3 + w = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -516485*t + 7230866. Calculate h(14).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -b**5\/4 + 1773*b**4\/4 - 980343*b**3\/4 + 159782571*b**2\/4.\nAnswer: -b**2*(b - 741)**2*(b - 291)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-8)\/18 - (17 + 199689\/(-11340)) and -89\/600.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 45 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -34*b**2*d + 146*b**2 + 153*b*d + 51*b wrt b.\nAnswer: -68*d + 292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.1 and -213.\nAnswer: -213.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = l**2 - 2*l - 1. Suppose 4*x = z - 18, 4*x + 24 = 4*z - 2*z. What is the remainder when v(z) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 4*m + 5. Let s be h(-4). Let l(t) = -3 - 1 - 642*t + 4 - 13*t**2 + 42*t**2 + 653*t. Let c(r) = 6*r**2 + 2*r. Calculate s*c(p) + 2*l(p).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = 37 - 35. Solve 3*p + 5*z + 6 = 0, -p - j*p - 4*z - 6 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 4570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*2*sqrt(4050)*-3)\/((sqrt(50)*-2*3)\/(sqrt(605)*2)))**2.\nAnswer: 4900500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -29*a + 25*a + 2 = 2*z, z - 4*a = -23 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let -2*l**5\/9 + 220*l**4\/9 - 8210*l**3\/9 + 12120*l**2 - 21600*l + 10368 = 0. What is l?\nAnswer: 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/((-159)\/(-462) + 207\/(-759)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 30*r**5 + 20*r**3*z + 5*r**3 - 7*r**2*z + 4399*r**2 wrt r?\nAnswer: 1800*r**2 + 120*z + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 14*f - 9*f - 6 + 0. Let z(w) = w - 1. Let b(m) = 5*v(m) - 30*z(m). Let u(y) = 3*y**2 - 6*y**2 + 2*y**2. Calculate u(b(q)).\nAnswer: -25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 4579764?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2515 = -5*s + 3*m, -5*m = -5*s - 0*s + 2505. Let y = -5570\/11 + s. What is the nearest to 1 in y, -2, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -10759, -0.07, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3736 - 4343.9. What is o rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -1\/4*s**5 + 19\/4*s**4 - 725\/4*s - 69\/2*s**3 + 375\/4 + 235\/2*s**2.\nAnswer: -(s - 5)**3*(s - 3)*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1\/173 (b) 3 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 21 = -4*g, 0 = -4*r + g + 4*g + 40. Suppose -3*w = r*b - 7*w + 12, -b + w - 3 = 0. Let q = -4\/89 - -425\/7476. Is q at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1947937 bigger than 1947937?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q - 4*z = -10, 0 = -q - 2*z + 2. Suppose -d - 4*d + 30 = t, q*t = -3*d + 11. Solve -3*c + 3 = a, -3*a = 4*c + 3 - d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wwotttto. What is prob of picking 1 w and 2 o?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find o such that -4*o**3 - 96*o**2 + 1468*o - 2520 = 0.\nAnswer: -35, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -0.5*-49798838\nAnswer: 24899419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 6769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(-2\/5)\/(q\/q**6)*q\/((q\/(q*q**(-1\/8)*q))\/q)*q**(2\/7)*((q**1*q)**(-35\/2))**(1\/62) assuming q is positive.\nAnswer: q**(62463\/8680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**0\/q*q*q*(q\/(q\/q**7))\/q)\/(q*q\/(q**(3\/10)*q)*q*q*(q\/(q\/(q**(-5\/2)*q*q*q))*q)\/q) assuming q is positive.\nAnswer: q**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/2)\/((-8)\/(-4))*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3488 - 3490. Which is the closest to 0.1? (a) 1\/39 (b) u (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s - 13 - 15 = 0. Let i(t) = t**2 + 8*t + 9. What is the remainder when 7 is divided by i(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -39 - -35. Let k(i) = -2*i**3 - 5*i**2 + 9. What are the prime factors of k(z)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-4341)\/(-12) + (-2)\/(-8). Suppose 4*i + 9 = -l + i, 0 = -3*l + 3*i + 33. Suppose -l = 4*x - y. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 45226369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.12725 + 0.108. Let u = -0.02 - a. What is u rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 3*b + 11 = 0, -15 = -5*d - b - 0*b. Let p(q) = q**3 - 2*q**2 - 3*q + 1. What is the remainder when p(d) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1653?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 1690, 3356, 5018, 6676, 8330, 9980?\n\"Answer: -2*m**2 + 1672*m + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((-12)\/10)\/(2142\/(-595))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 1272*3.5\nAnswer: 4452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17 = 4*h + 2*t + t, 5*h + 3*t = 19. What is the least common multiple of h and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 405.0466 - 0.0466. Let x = u + -388.7. Let z = 22 - x. What is z rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 489*w = 492*w + 4*t - 9, 5*t = -2*w + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3937 and 4.\nAnswer: -15748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -14*h - 5. Let k(l) = 21*l + 7. Suppose 3*w - 70 = -4*j, -67 = -5*w + 4*j + 39. Suppose 0 = -w*n + 6*n - 80. What is n*k(c) - 7*x(c)?\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 3*k + 172. Let z(w) = 2*w. Determine p(z(t)).\nAnswer: 6*t + 172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r = -7 + 6. Let d = -6 - r. Find the common denominator of d\/(-6)*(-444)\/45 and 73\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 4 (b) -0.3 (c) -10\/7 (d) -3548 (e) -0.1 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -4*l**2 + 4*l. Determine u(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -18 (base 11) to base 6\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 8 - 9. Let f(c) = -16*c**3 - 2*c**2 - 2*c - 1. Let n be f(s). Let o = 31\/2 - n. Is -1.1 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 11274 or 11270?\nAnswer: 11270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 130 and 581776?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2 (b) -1 (c) -71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 2518764 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2413 (b) -50 (c) -2 (d) -1\/3 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1143.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) be the second derivative of -5\/3*m**3 + 0 + 5\/12*m**4 + 0*m**2 + 59*m. Solve f(l) = 0 for l.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 2.769254853 and 93.\nAnswer: 95.769254853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 388 minutes after 10:01 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1428 + -3?\nAnswer: 1425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 13144658 or 13144657?\nAnswer: 13144657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15291043.\nAnswer: 2251, 6793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n + 10 = -3*g - 17, n + 1 = g. Sort 5, 0, n, 3.\nAnswer: n, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 55 + -54.9. Sort -2, i, -6 in decreasing order.\nAnswer: i, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4*f - 4*f + 4*f**2)*(4*f + 4*f + 20*f) to r*f**3 + l*f + b + a*f**2 and give r.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 188761685.\nAnswer: 5, 7, 5393191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 367317 is divided by 91425?\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o and 2 z when four letters picked without replacement from {g: 7, z: 2, u: 1, o: 9}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c be (336\/(-196))\/(1\/(-14)). What is the greatest common divisor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0 and 9.1208?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 0.05 (b) -10 (c) 0.12 (d) -0.1 (e) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (-27)\/(-18) + (-2)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 274d6795 - 2?\nAnswer: 274d6793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 468527 is divided by 3577?\nAnswer: 3517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 20601 and 1606689?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1c6c565 + 4?\nAnswer: 1c6c569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c be (5\/2)\/((-10)\/(-24)). Suppose 0*a - 3*a + c = 0. Solve -5*r = 4*y + 6 + 12, a*r - 4*y - 4 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5 + sqrt(1088))*4)**2*2.\nAnswer: -2560*sqrt(17) + 35616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2 + -9. Let z = -2 - h. Let l = z - 9.02. Which is the second biggest value? (a) l (b) 2\/9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*h + 15*h - 6240 = 0. What is the greatest common factor of 494 and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -n + 5. Let h be m(4). Put 5, -3, h in decreasing order.\nAnswer: 5, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -4 - 6. Let a = o - -13. Let c(h) = h**3 - h**2 + 4. Let x be c(0). Solve a = f + 8, x*b = 5*f + 45 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17 = 2*g - 13. Suppose 3*m - g = -3*s, -4*s + 2*m + 4 = 2. Suppose -s*k - 2*k = -132. List the prime factors of k.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (10\/(-4))\/(-4*(-4)\/32).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 50 and 51393875.\nAnswer: 102787750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) be the second derivative of 5*l**4\/12 - 8*l. Let f(n) = 3*n. Calculate c(f(i)).\nAnswer: 45*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2 + -2275b3?\nAnswer: -2275b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 14544 a factor of 2935451423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -30*o**3*u - 5*o**3 + 4*o**2*u - 6*o*u - 4*u wrt o.\nAnswer: -180*u - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 5, e: 2, t: 1, y: 2, c: 8, h: 2}. What is prob of sequence he?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = -24 - -24. Suppose -5*c + 6*c = w. Solve -5*a - 2*k - 6 = c, 4*a = -a + k - 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -l + 6, 3*r + 12 = 3*l. Let y be -93*((-3)\/(-9))\/r. Let v = -12 + 18. Solve -v = 2*j, y = 4*w - 0*w - 5*j for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 73 - 73. Suppose -m - 15 + 47 = f. Let s = m - 28. Solve -6 = 2*j + s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 39147405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 25*g - 157 - 107 - 61 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 2*j + 8, 5*j + 225 = 5*y. What is the greatest common factor of 88 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*r - 30305343 = 9*r - 30303213 for r.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2 - -1. Let n = -2 + 7. Solve -j + h*b = 6, n*j - 4*b = 2 + 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 21921 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 784 is divided by 749.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18809 divided by 7.\nAnswer: 2687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 21*a**3 - 300*a**2 + 1113*a - 294.\nAnswer: 3*(a - 7)**2*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = f**2 - 2*f - 3. Let a = -1 + 4. Let v be o(a). Let j(g) = -g**2 + g + 13. Calculate the remainder when j(v) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor k**2\/4 - 56014*k - 112029.\nAnswer: (k - 224058)*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -2855485 - -1?\nAnswer: -2855484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 7310 and 1086065?\nAnswer: 1587827030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3356\/(-14) - 2\/7. Let d = 970 - u. What is d rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 109 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-4)\/(-4) + 1\/1. Let l = -1 + p. Suppose 6*w - 19 = -l. Solve 0*s - 3*s = -w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 52143213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -21\/110720 and -103\/1799200?\nAnswer: 7196800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d = -9 - -20. Let i(w) = -5*w + 52. Let f be i(9). Suppose f*b - 93 = 47. Calculate the remainder when b is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 21\/(336\/40)*2*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 114834542 to the nearest integer?\nAnswer: 10716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 109*d**2 - 111*d**2 + 2*d - 2*d.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + ((5 + (1 + sqrt(612) - sqrt(612)) + 0)**2 - (-5*(sqrt(17) + sqrt(833) + -1) + 0)).\nAnswer: 32 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o + 10 = 4*o. Suppose 0 = 5*g + 3*y, o*y - 4 = -g + 18. Let m be (-103 - 1)\/(1 + g). Calculate the greatest common divisor of m and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -38925.3 and -4382.98.\nAnswer: -43308.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 35*l - 9. What is k(6)?\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ic when two letters picked without replacement from cjjijjcijjjc?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = -22333 - -659213. Let c = k + 23120. Round c to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -28, -32, 25, 1.\nAnswer: -32, -28, -3, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 15, 0, -304?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 482 minutes after 4:23 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -2521444 (base 6) to base 10\nAnswer: -135172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -a**3 - 10*a**2 - 21. Let d be z(-10). Let v(j) = j**3 + 21*j**2 - 21*j + 48. What is the tens digit of v(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 222955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) be the third derivative of 0 - 2\/3*v**3 + 1\/8*v**4 + 1\/120*v**6 + 0*v - v**2 - 1\/15*v**5. Calculate n(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 76525766 to the power of 1\/2, to the nearest integer?\nAnswer: 8748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = 8.000056 + -8. What is o rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + 5329 = 3*r, -t - 4*r + 8*r + 1075 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 361072627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -16.6229 and -0.4?\nAnswer: 16.2229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 51 = -0*t. What is the remainder when t is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -62352 divided by -18.\nAnswer: 3464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = m**2 - 7*m - 2. Let u be b(9). Solve -12*n + u = -32 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = 3*p**3 - 7*p**2 - 15*p - 92. Let o(i) = -i**3 + 3*i**2 + 6*i + 45. Determine 5*o(c) + 2*z(c).\nAnswer: c**3 + c**2 + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 0.2 * -532\nAnswer: -106.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-144)\/27 + 6)\/(4\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(2\/15))**(-20)*b**35*b*b**37*b*b assuming b is positive.\nAnswer: b**(217\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -8*t**4 - 251*t**3 - 2*t**2 - t + 1711.\nAnswer: -192*t - 1506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = f**3 - 16*f**2 + 15*f + 9. Let h be o(15). Suppose 0 = 5*b + 5*n - 0*n - 30, 5*b = 3*n + 14. Solve h*x = b*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) be the third derivative of 2\/75*y**6 + 0 + 32*y**2 + 0*y + 1\/15*y**4 + 0*y**3 - 3\/25*y**5. Factor d(c).\nAnswer: 4*c*(c - 2)*(4*c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 1\/4 (b) 0.024 (c) 60\/13 (d) 0.69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 864 and 599008?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2119185 and 2250?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -61\/216 and 169\/3960.\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 224 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -926 divided by 1\nAnswer: -926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 125, 75, 23, -31, -87?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 503 minutes after 4:29 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -x**2 + x - 3. Let v(z) = -3*z**2 + 2*z - 9. Let a be 0 - (-40)\/(-4 - -9). Let b(l) = a*r(l) - 3*v(l). Calculate b(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 2210 - -1014?\nAnswer: 3224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 98 is divided by 69.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.5 - 1.5. Let d(v) = -v**3 + 4*v**2 + v - 1. Let w be d(4). Let u be w\/(-3)*(-3)\/(-5). What is the nearest to 1 in u, s, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -133 + (-147 - -253) + 122.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) be the third derivative of 3*z**4\/8 - 19*z**3\/6 + 719*z**2. Calculate f(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 4*f**2 + 7*f. Let m = -4 + 5. Let a(d) = -d**2 - d. Let p(j) = m*o(j) + 6*a(j). Find the second derivative of p(g) wrt g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100101111000 - 11000101001010011?\nAnswer: -11000000011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -4\/3 (b) 4168363 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p be (609240\/(-14))\/(4\/616). Let y be (-26)\/(-10) + 12\/(-20) - -17601638. Let n = p + y. What is n rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1490 + -1490. Sort 2\/7, -0.4, u, 121 in descending order.\nAnswer: 121, 2\/7, u, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y - 438 = 7*y. Let j = -100 - y. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 8 + -9. Let n be 6 + (2\/w)\/2. Let s = 5 - n. Solve s = 4*x - 5*b + 40, -x + 4*x + 3 = -3*b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0.149 or -74775?\nAnswer: 0.149","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: What is 7\/4 of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 688 is divided by 74.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 697*l**2 + 11*l + 10. What is the tens digit of r(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*h**2 - 540*h + 535.\nAnswer: 5*(h - 107)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = q - 5. Let i(b) = 4. Let a(n) = -4*h(n) - 5*i(n). Let t(u) = 1 + 1 - 2 - 3*u. Give a(t(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-1 + sqrt(637) + -1)*5)**2 - (-1*((sqrt(156) - (sqrt(156) - sqrt(156)*2)) + sqrt(156) + sqrt(156)))\/(sqrt(96)\/(sqrt(8)*2))) + -2.\nAnswer: -692*sqrt(13) + 16023","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -59, -4 in ascending order.\nAnswer: -59, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1205593 is divided by 401100?\nAnswer: 2293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 285329 and 207512.\nAnswer: 2282632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -294930 divided by 2610\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.8 (b) 0.5 (c) -193.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0, -8, -0.4, -1.6, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = -5 - 7. Suppose 322 = p*q + 86. Let n = -26 + 38. Calculate the remainder when q is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8771 (base 9) in base 2?\nAnswer: -1100100111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 + 1 = 2*t, 2*t = 5*s - 118. What is the greatest common divisor of 16 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1 - (-3)\/((-3)\/(-1)). Solve -6 = -w*u - 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 200 = 5*r + 135. Let d be 1*-4 + (r - 6). Suppose -3\/2*q**2 - 3\/2*q**d + 3\/2 + 3\/2*q = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + 1 + 0)*(3 - g - 3)*(80 - 339 - 149) to z*g + k and give z.\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) be the first derivative of 2*l**3\/3 + 2*l**2 + 2*l - 6. Factor f(i).\nAnswer: 2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 0.5623212 micrometers?\nAnswer: 0.00005623212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 5*j. Let k be 3 + 2 + (1 - 4). Let h(f) = -k*f + 2*f + f. Give i(h(z)).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1.99 in 2\/27, -1, -0.3, -18.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13 + (-220)\/(-6 + 16).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3619? (a) -3 (b) 5 (c) -2 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 1862*z + 11184. Give m(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 13 and 20137.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1.7 - 2. Let n = 14.4 - 13. Let o = -1.6 + n. Which is the third biggest value? (a) o (b) -1\/2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 89 + 132. What is the remainder when o is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3618315 - 64948255\/18. Let n = a - 10076. Find the common denominator of n and -101\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + (sqrt(468) + -1 + sqrt(468)*-2 - sqrt(468)))**2 - ((1*sqrt(208))\/((sqrt(176)\/sqrt(4))\/sqrt(11)))**2.\nAnswer: 24*sqrt(13) + 1821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 44023 is divided by 1336.\nAnswer: 1271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 28461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 1, y: 1, n: 1, a: 1, t: 1}. Give prob of sequence atyn.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 3954 and 90.\nAnswer: 59310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 41\/6 and -41\/7024.\nAnswer: 21072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -2808 > -3374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = k**3 + 7*k**2 - 2 + k**3 - 11*k**3 - 4*k**3. Let n be j(-3). Suppose -6*y = -8 - n. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -72462400 to the nearest one hundred thousand.\nAnswer: -72500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1009276.\nAnswer: 2, 252319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 819750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 442929614 to the power of 1\/2, to the nearest integer?\nAnswer: 21046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 242 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 82836 and 2080104?\nAnswer: 18720936","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: What is 496 minutes before 6:19 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x = -2*x + 37500. Suppose -4*h + x = -9*h. Round h to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 2023.452l?\nAnswer: 2023452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -617, -537, -453, -365, -273, -177?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (-5 + (sqrt(6292)*1 - sqrt(6292))\/(sqrt(16)\/(sqrt(4) + sqrt(4)*1) - sqrt(4)))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-33)\/(-99)*(10 + 5 + -10).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 17\/((-255)\/975)*(-11)\/(385\/28)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -298183, -298208, -298223, -298228, -298223, -298208, -298183?\n\"Answer: 5*b**2 - 40*b - 298148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 4*r - 260 = 0, k + r = 3*k + 166. Let n = 18 + -49. Let m = n - k. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -218 - -215 - (-1 + -3 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-48 - -10) + (4 - 0). Let q = 240\/7 + v. Which is the closest to 0.1? (a) 2 (b) q (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in thirty-one halves of a millennium?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + 0 - (7 - 6 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -2*r**3 - 3*r**2 + 2*r - 2. Let u be c(3). Let a be 21\/(-9) - -3 - u\/(-21). Let k(m) = 10*m. Give k(a).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 43\/4 of a tonne?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1 - 1. Let f = -288 - -670. Let a = f - 349. Is y smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + (1 - (7 + (-4 - -1))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 223 minutes before 8:23 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) be the first derivative of 0*l**3 + 100 - 1\/11*l**4 + 0*l - 1\/33*l**6 + 0*l**2 + 6\/55*l**5. Factor m(n).\nAnswer: -2*n**3*(n - 2)*(n - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 16 + -13. Let k(u) = -u. Let j(h) = -21*h**5 - 30*h**2 - 3*h. Let y(p) = v*k(p) - j(p). What is the third derivative of y(l) wrt l?\nAnswer: 1260*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-75)\/(15\/1)*40\/7400?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -5105 (base 7) to base 5.\nAnswer: -24034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*l**2 + l - l)*(-2*l - 1 + 1) + 128 - 52*l**3 - 128.\nAnswer: -56*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Determine v, given that 2*v**4\/9 - 6*v**3 - 1118*v**2\/9 - 542*v\/3 + 1804 = 0.\nAnswer: -11, -6, 3, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 3, x: 3, n: 6, l: 3}. What is prob of sequence blnb?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 4477177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -597, -1189, -1781, -2373?\n\"Answer: -592*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 4}. What is prob of picking 2 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 6, e: 3}. Give prob of picking 3 e.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w - 2*d = -33305, 4*w - 3*w + 3*d - 6648 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -851699, -851704, -851709, -851714?\n\"Answer: -5*i - 851694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 184 and 138.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1351443, 1351463, 1351495, 1351545, 1351619, 1351723, 1351863?\nAnswer: 1352045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-1)\/((-10)\/(-8)))\/((-12)\/60). Suppose 0 = z*k - 12 - 8. Solve -4 = 4*d - 4*r, k*d + 2*r = -3*r + 45 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 428.1119l in millilitres?\nAnswer: 428111.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.7 - 0.3. What is the closest to -0.4 in s, 0.3, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + (-10)\/(-8) + (-350)\/56.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is l in 2*l**5\/7 + 2482*l**4\/7 - 24168*l**3 - 2791224*l**2\/7 - 4885920*l\/7 = 0?\nAnswer: -1305, -12, -2, 0, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = k**2 - 6*k + 4. Let g be f(6). Let z(b) = b**3 - 20*b**2 + 87*b - 23. Let y be z(14). Solve g = -3*p + y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -l**2 - 15*l + 391. Determine f(14).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -3 + -57?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 2382002171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -0.199 rounded to three decimal places?\nAnswer: -0.199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 - 5 + 3)*(-2*r + 2*r - 2*r) - 35*r + 789*r + 772*r to a*r + b and give a.\nAnswer: 1524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 4*o**2 - 36*o + 18. Let j(y) = -8*y**2 + 69*y - 36. Let z(k) = 3*j(k) + 5*p(k). Let a be z(6). Which is greater: -2\/1709 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(-1))**6)**(-2\/25) assuming y is positive.\nAnswer: y**(12\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:19 AM and 6:28 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1272 + 1278. Sort 10\/11, 2, b, -2\/9.\nAnswer: -2\/9, 10\/11, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 4*w**2 - 521*w - 61646. Calculate f(-75).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 13803, 14144, 14505, 14886, 15287?\n\"Answer: 10*b**2 + 311*b + 13482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express (4 - 4 - 4*j)*(-2 + 2 - 2)*(-7*j**2 - 11*j + 11*j)*(-1 + 5 - 3) in the form h*j**2 + t*j + o*j**3 + i and give o.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -5 + p**2 + 3*p**2 - 7*p - p**2 - 2*p**2. Let v(c) = -4*c**2 - 87*c + 28. Let i be v(-22). Determine f(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 5181893, 10363674, 15545455?\n\"Answer: 5181781*j + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = 47*x - 4. Let r(a) = 48*a - 3. What is -3*n(k) + 4*r(k)?\nAnswer: 51*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 14, z: 1}. Give prob of picking 2 e and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16*x**2 - 2*x + 32*x**2 + x - x.\nAnswer: 48*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*y + 111 = 45. Suppose -32*h = -y*h - 63. Let i = -4 - -16. Which is the nearest to -2\/5? (a) -4 (b) h (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -12*h + 12. What is the remainder when d(-6) is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000921765 to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(-2\/5)\/(n\/n**(-7))*n*n**(-2\/5)*n*n\/(n*n\/((n**(1\/3)*n)\/n))*n*n*n*((n**(1\/7)*n*n*n)\/n*n*n\/((n*n**(-4\/7)*n)\/n))**22 assuming n is positive.\nAnswer: n**(8111\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 66934 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 + 1 + 1)*(2*l**3 - l**2 + l**2) + 394*l**3 - 285*l**3 + 599*l**3 to the form v*l**3 + f*l + r*l**2 + b and give v.\nAnswer: 704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Product of -7.29 and -0.02.\nAnswer: 0.1458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 740321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -2*j + 2*c, j - 10 = 2*c + c. Let u be (4 + -1 + -2)*j. Is -13\/6 at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00071031546 to 7 decimal places.\nAnswer: 0.0007103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 4, q: 2, i: 3}. Give prob of picking 1 q and 1 n.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(133) + -4*sqrt(133)*3)\/((sqrt(504)\/sqrt(8))\/sqrt(9)).\nAnswer: 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -2*x**2 - 285*x + 13712. Calculate u(38).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*x - 49 + 30 = -2*v - 31, 0 = -2*v - 10 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -56*d - 48*d - 6511 + 6511. Let t(a) = 9*a**2. Determine t(j(v)).\nAnswer: 97344*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 12\/90*6\/18*6*36\/(-552)\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 13.2 - 13.4. What is the smallest value in -2.5, d, 2\/7?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*w - 3*f - 42, -2*w - f + 18 = -4*f. Let o be w - (20\/15)\/(4\/18). Solve 3 + 9 = -o*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 264 minutes after 2:24 AM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z = 9, -3*k = 113*z - 111*z - 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cqcv when four letters picked without replacement from ctfvtttftcctqtttcf?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 11422*s + 45678. What is v(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -55, 2, -5, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = -n - 2*n - 4*y, 0 = -n - 4*y + 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1100484470?\nAnswer: 2, 5, 110048447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out -46988581 + -44.07247.\nAnswer: -46988625.07247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {n: 11, m: 2}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/(y*y*y**0*y))**(2\/7)\/(y*y**(-1\/3)\/y)**14)**(12\/7) assuming y is positive.\nAnswer: y**(344\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 2*c + 4)*(-30*c**3 + 72*c**3 - 34*c**3).\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 208 and 87002799.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zhzh when four letters picked without replacement from {z: 2, h: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 87476 and 399.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1.8464 + -1.846408511. Round i to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 + 13\/5)*110\/44?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q*q**(2\/3))**1*q\/(q\/(q*q*q\/((q*q\/(q\/(q*q**14))*q*q)\/q)*q)*q)*q\/q**(2\/9)*q)**(-25))**18 assuming q is positive.\nAnswer: q**4750","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = g**2 - 236*g + 2255. Calculate q(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 6398311 to the power of 1\/2, to the nearest integer?\nAnswer: 2529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 115*p + 465. Let q be s(-4). Which is the nearest to -2? (a) q (b) 2 (c) 2\/9 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -9 - 7*i**2 + 375*i - 759*i - 2*i**3 + 375*i + i**3. Let b(s) = -3*s**2 - 4*s - 4. What is 7*b(u) - 3*o(u)?\nAnswer: 3*u**3 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y - 5*r + 26 = -4*r, 10 = y + 2*r. Let n be -3*(3 + (-26)\/y). Suppose 0*q = -c - q, 3*q = -5*c + n. Solve -3*g = c*g + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 5, p: 7}. What is prob of picking 2 x and 2 p?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**25\/s)**(23\/5) assuming s is positive.\nAnswer: s**(552\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(304)*-1*2 - ((sqrt(19) + 0)*5 + ((sqrt(19) + sqrt(171))*4)**2).\nAnswer: -4864 - 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 9847807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-122*d**4 - 3*d**5 + 122*d**4)*(-5 + 0 + 4).\nAnswer: 3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*v**2 + 4*v**2 - 7*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does -1887513 = -1887515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - 0) + -2 + (2 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 57 + (-2 + -10 - (136 + -137))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -122101222211 (base 3) to base 13\nAnswer: -bcc4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 764, 690, 618, 548, 480, 414?\n\"Answer: z**2 - 77*z + 840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 535 minutes before 6:12 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = 660.2 - 660. Let v = 4.9 + 89.1. Which is bigger: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = 13*f**3 + 10*f**2 + 9*f - 10. Let q(a) = -9*a**3 - 7*a**2 - 6*a + 7. Determine 5*h(y) + 7*q(y).\nAnswer: 2*y**3 + y**2 + 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) be the first derivative of u**3\/3 - 11*u**2\/2 + 7*u - 58. Suppose -4*t - 16 + 84 = 0. Calculate the remainder when s(14) is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*l = 2*w + 126, -29*w - 58 = l - 28*w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = -2*t + 4*m + 28, 5*t - 5*m = 30. Suppose 5*p = -t*c + 33, -2*p + 0*p = 5*c - 20. Sort p, 1, -3, 3 in descending order.\nAnswer: p, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 251 minutes after 4:52 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = 38 + -19. Suppose -5*o - 2*p = -62, -2*o + 9*p = 4*p - n. Suppose 4*z + 0 = o. Which is the third biggest value? (a) z (b) -5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 202505399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 35 = 13*a - 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y**5\/8 - 42597*y**4\/8 + 25196124*y**3 - 39709068939*y**2 - 119303659566*y - 79569389178 = 0. What is y?\nAnswer: -2, -1, 4734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 16*h**2. Let u(t) = 35*t**2 + 41*t**2 - 13*t**2 + 9*t**2 + 16*t**2. Determine u(d(a)).\nAnswer: 22528*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-33)\/(-6) + -11 + (-2 - -6)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 5, 197.\nAnswer: -1, 5, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 2532920.891 to the nearest one thousand.\nAnswer: 2533000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 38\/80 - ((-2730)\/(-150) - 19) and -57\/320.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 132 and 274674.\nAnswer: 6042828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - 18 = 27. Suppose i*u - 28 = 17*u. Suppose p - 4*r + 0 = 6, 3*p + 4*r = -62. Is u < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2153 at most -2148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 4123510841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5 - 5. Suppose 8*i - 9*i = v. Suppose -5*a = -2*d - 3*d - 95, i = 3*a + 3*d - 69. Calculate the remainder when a is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 360*j**2 - 118*j - 157. What is the tens digit of w(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -75 + 124. Suppose d = 4*u + 5*j, 16 = 5*u - 2*j - 4. Let z(p) = -8*p + 8. Let l(q) = -q + 1. Give u*l(a) - z(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -214, -865, -1950, -3469?\n\"Answer: -217*y**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, -0.32, 9.07, 4, -92.6 in decreasing order.\nAnswer: 9.07, 4, -0.3, -0.32, -92.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = j**2 + 9*j - 5. Calculate the remainder when 14 is divided by z(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -q**3 - 10*q**2 + 14*q - 10. Calculate g(-11).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 1407 + 782 + 73 = 58*r for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -75867 divided by 3.\nAnswer: -25289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*r = 3*r. Is r <= -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 10935206 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = 116129\/42 - 2766. Let q = t - -6\/7. Sort -5, 0, q, 5 in decreasing order.\nAnswer: 5, 0, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1 - -3. What is the third derivative of 12*j**6 + s*j**2 + 2*j - 18*j**2 - 2*j wrt j?\nAnswer: 1440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1080 is divided by 59?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -13123033 + -120?\nAnswer: -13123213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 7084 and 58597?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bkkxkkknk. What is prob of sequence bk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = -8.7 + 6.7. Put 0.5, 2\/9, a, 0.4 in descending order.\nAnswer: 0.5, 0.4, 2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -2*o - 10, 5*w = 5*o + 30. Find the second derivative of -5*a - 5*a**3 - a**2 + a**w wrt a.\nAnswer: -30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1780732.81 to the nearest one thousand.\nAnswer: -1781000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3577 is divided by 108.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = 7415.4 + -6607. What is l rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -341 + 340.999999562. Round x to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*i + i**2 + 0*i + (-13*i + 2*i - i)*(-2*i + 2*i - 4*i) to x + p*i + g*i**2 and give g.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand -10*l**4 + 1 + 15*l**2 - 24116*l + 24116*l - l**4 + 3*l**4 - l**4 + (-l + l**4 + l)*(-1 - 1 + 0).\nAnswer: -11*l**4 + 15*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 4.33 or 0.2?\nAnswer: 4.33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 0.022266 to 3 decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 13 + 6)*(-2*c - 2*c**2 + 2*c) + 4*c - 3*c - 2*c**2 + 0*c to u + l*c**2 + f*c and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let 3\/2*j**3 - 387\/2*j - 357\/2 - 27\/2*j**2 = 0. Calculate j.\nAnswer: -7, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8 - 11 + 0 + 5 - 921*p**2.\nAnswer: -921*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 354995631?\nAnswer: 3, 39443959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -s**3 - s - 2. Let a = 4 - 4. Let b = a - 2. Calculate v(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -36999, -73997, -110983, -147951, -184895, -221809?\n\"Answer: w**3 - 37005*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2030 = 301*x + 1653 - 6245. Solve 8 = -10*k - 2*h, -5*h + 2 = k + x for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 347, 0, 5, -14, -11 in increasing order.\nAnswer: -14, -11, -3, 0, 5, 347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) be the third derivative of w**4\/8 + 44*w**2. Let c be 2 + 2 - (1 - 3). Let v = c - 8. Give m(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -742*g + 726*g + 224 = 0. Calculate the highest common divisor of g and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 7\/6, 0, -0.3, -1\/22?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by -393.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = -9\/1514 + 22689\/378500. Calculate the common denominator of g and 137\/12.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4237500.\nAnswer: 2, 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -c02 - 26?\nAnswer: -c28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide -12 by -6791.\nAnswer: 12\/6791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s = 3*n + 9, 0 = 78*s - 79*s - 3*n + 9. Let r(j) = j**3 - 2*j**2 - 5*j - 1. Let z(x) = x**3 - 2*x**2 - 4*x. Let u(b) = -2*r(b) + 3*z(b). What is u(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 534 and 356.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = f**2 + 506*f - 2038. Let j be q(4). Let l be -2 + 3 + 1 + -2. Solve w - 1 - j = l for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (2\/4)\/(17\/(-4) - -2). Which is the smallest value? (a) u (b) 2\/5 (c) 2\/11 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -1439, -1429, -1419, -1409, -1399, -1389?\n\"Answer: 10*l - 1449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put 12, 378044, 3, 5 in decreasing order.\nAnswer: 378044, 12, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1043 and 149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) be the third derivative of 7*f**4\/24 - 7*f**3\/3 + 12*f**2. Let c be w(6). Calculate the greatest common factor of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -13*p**2 + p - 13. Let w be o(-12). Is 6\/(-8) + w\/(-28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*w**4\/3 + 282*w**3 + 30518*w**2 + 441826*w\/3 + 174724 = 0.\nAnswer: -209, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -112, -298, -544, -844, -1192, -1582, -2008, -2464?\nAnswer: -2944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o + 17 = 21 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -t - 4. Let k be q(-5). Let r be k\/((4\/(-12))\/(-1)). Suppose 4*h - 215 = -u, r*h - 4*u - 155 = -8. List the prime factors of h.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -26 (base 9) to base 6\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -6*l + l. Let a = 0 - -1. Let g(j) = j**2 - j + 1. Let u be g(a). Solve -4*b = -m + 4 + u, -l*m + 2*b - 2 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1100202200022 (base 3) to base 15\nAnswer: e4642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 5*s - 92. Let j(p) = -12*p + 190. Determine 4*j(k) + 9*o(k).\nAnswer: -3*k - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z = -4*i + 64, -2*z - 2*z + 117 = -3*i. Let o = z - 28. Let j(h) = h**2 + 0 - 2*h**o + 4. Let g(w) = -w**2 + 5. What is 4*g(n) - 5*j(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.06061 + -0.04451. Which is the second smallest value? (a) 1\/2 (b) s (c) -0.3 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 + 15 = 4*x. Let w = 7 - x. Suppose 10*i = 5*i + 40. Calculate the greatest common factor of i and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1403 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -680 = -278*o - 5962 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l and 3 c when four letters picked without replacement from {e: 6, d: 1, w: 1, c: 3, l: 5, k: 1}?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 17 = 17*q - 14*q, -2*o - 13 = -3*q. Let v = -4 + 8. Sort q, -5, v, 1 in increasing order.\nAnswer: -5, 1, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (385756\/4193)\/((-16)\/(12\/(-3)))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0058459923 to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is (24612\/3)\/4 + 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from pjkpkpjkjjpjjj. Give prob of picking 3 p.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7903607.\nAnswer: 37, 213611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 3c57 - -5?\nAnswer: 3c5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 237884112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -24\/29915 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -g**3 + 18*g**2 - 65*g + 28. Calculate the least common multiple of h(13) and 63.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4350 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -r**3 + 4*r**2 - 2*r - 3. Let i be w(3). Suppose 3*k + k = i. Suppose 5*t - 20 = 2*z, k*t = -z + 5*t - 20. Solve -2*s - 2 = -z for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 21 (base 12) to base 3\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 672 minutes before 12:37 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 4191 (base 11) in base 13?\nAnswer: 26a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (16\/30 + 12\/(-60))\/((-19)\/(-798)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -12 + (-11 - (13 + -40)) - (2 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -214*j - 4*w - 140 = -205*j, -w = -3*j - 49 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -4*q**2 - 129*q - 963. What is x(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -203029*k + 4669680. What is z(23)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-6)\/(-16) + 1330\/80. Let b(j) = 17*j**2 + 0*j**2 + o*j**2 + 4*j**2. Let h(g) = 2*g. Give h(b(c)).\nAnswer: 76*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8\/24*2*1*-2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -682 - -680.9. What is the second biggest value in j, -2\/3, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.1 (b) -1.3 (c) 2\/19 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*q - 2*c + 14, -11*q - 4*c + 2 = -8*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) be the first derivative of w**5\/30 - w**3 + w**2 - 10. Let n(x) be the second derivative of l(x). Differentiate n(f) wrt f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34*r = 410 + 4452. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i - 37 = 5*q - 33, 5*i + 2*q - 3 = 0. Let u(s) = 4*s**2. Let n(h) = h**2. Determine i*u(c) + 4*n(c).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor z**3\/2 + 223*z**2\/2 + 6380*z + 18150.\nAnswer: (z + 3)*(z + 110)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r = -35 + 35.00042. What is r rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 388 and 58342202?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 3 (b) 0.3 (c) 0.083 (d) -2\/11 (e) -3 (f) 45\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7\/(-2)*(-52)\/(-91)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -k**3 + 23*k**2 - 127*k + 20. Let z be n(14). Suppose -2*y = y + 63. Let p be -2*y\/6*1. Is p != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 377105 to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 27 in 2\/137, -0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 550 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n = 2*g - 124378, 0 = g + 5*n - 53237 - 8967. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify s*s**32\/s*s*s**(1\/3)\/s*s*s*(s\/(s*(s\/(s*s**(-1\/33)))\/s*s))\/s*s\/s**(3\/16)*s assuming s is positive.\nAnswer: s**(18541\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 88*c - 1 - 3*c**3 - 2*c**3 + 6*c**3 - 90*c. Let s be a(2). Solve -5*y - 5*m + 5 + 0 = 0, s*y - 5*m = 11 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 77.4 - 74. Let d = 1.7 - -2.1. Let z = d - f. Which is the smallest value? (a) -1\/4 (b) z (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 18 and 410946.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -56786.795 rounded to the nearest one hundred?\nAnswer: -56800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 33 divide 792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 24*x**3 + 6*x + 10. Determine c(-2).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-169*f**2 - 243*f**2 + 70*f**2)*(-4 + 1 + 1 + 2 + 4 - 3 + 0 + 1 + 0 + 0 - 2 + 1 + (0 + 2 - 4)*(4 - 2 + 0) + 0 + 2 + 2 + 3 - 1 - 1).\nAnswer: -684*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -g - 13. Let l be i(-21). Let r(h) = 14 + l*h - 359*h**3 - h + 11*h**2 + 360*h**3. Is 21 a factor of r(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 119 + -128.3. Let c = 9.33 + o. Round c to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.16? (a) 3 (b) 5 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -25*l + 1. Let p(n) = n. Let u(j) = -f(j) - 6*p(j). Let z be u(1). Suppose 2*b = 4*v - z, 6*v - 4*v + 3*b = 5. Round v to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -54*r = -52*r - 34572. Let c be 3\/90*-4 + r\/45. Suppose 499 = -4*a + v + 2016, -c = -a + 5*v. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 517675 - 12?\nAnswer: 517663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 31 divide 195301178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 6373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 109 is divided by 47.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.17 - 0.53. Let u = -0.51 - -220.51. Let a = u + -220.3. Which is bigger: a or f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t - 3*f = -17 + 3, 2*t = f + 2. Let m be (-24)\/((-8)\/t) + -7. What is the closest to 0 in 0, m, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 8, f: 1, x: 2, i: 2}. What is prob of sequence ifip?\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10 + 12010?\nAnswer: 12000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.1 and -13590.46525904?\nAnswer: 13590.56525904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 4, -409, 3, -3, -5, 99 in descending order.\nAnswer: 99, 4, 3, -1, -3, -5, -409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 42*i**2. Let q(o) = o**2. Calculate -3*f(t) + 15*q(t).\nAnswer: -111*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1 (b) -0.01903 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 728 and 20.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 39065.917 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*f**2 + 112208372*f - 7*f**2 - 112208372*f.\nAnswer: -23*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 36*y + 28*y + 16*y**2 + 25*y**4 + 21*y**4 - 98*y + 33*y to z*y + g + q*y**3 + n*y**2 + i*y**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -3*i + 1. Let x(c) = 9*c**2 + 1385 + 1415 - 2828. Let a(j) = 5*j**2 - 16. Let t(h) = -7*a(h) + 4*x(h). Determine t(g(k)).\nAnswer: 9*k**2 - 6*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor -169*t**3\/7 + 2999711*t**2\/7 + 19419792*t + 219732660.\nAnswer: -(t - 17795)*(13*t + 294)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 82056780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Let a = 208 - 106. Suppose 4*p - 7*p = -a. Suppose 5*q + 23 + 40 = 2*s, 3*q + p = s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 258735 and 30315?\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 355720 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -797*b*i**2 + b*i - 483660507*b - 15*i**2 + 7*i wrt i?\nAnswer: -1594*b*i + b - 30*i + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 565 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -5820 (base 13) in base 3?\nAnswer: -121221220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*c - 100*h = -102*h - 44, -5*h = 177*c - 173*c - 44 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1184)\/4144)\/(1\/28)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w - 42 = -5*g, -g + 5*w - 22 = -5*g. Suppose -15 = 4*s - 9*s. What is the remainder when g is divided by s\/12 + 11\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 35853?\nAnswer: 3, 17, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 2*i**3 - 108*i**2 + 87. Let w be a(54). Which is smaller: w or 90?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 8 + -6 - (1 + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1839 or -631760?\nAnswer: -631760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -z**3 - 236877*z**2 - 473747*z + 710625.\nAnswer: -(z - 1)*(z + 3)*(z + 236875)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*l - 23*l = 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 1\/122274599 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 2\/13 (b) -2 (c) -3\/5 (d) -1\/42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = c - 2 - 2, 4*v - 844 = 4*c. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 25\/224 and -109\/1792.\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -4, -13, -2, -1, -9988, -5.\nAnswer: -9988, -13, -5, -4, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 345, 377, 443, 555, 725, 965, 1287?\nAnswer: 1703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 58210198?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -92239, -184491, -276755, -369037, -461343, -553679, -646051?\n\"Answer: -p**3 - 92245*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2, -3, 2, 0.26?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 12 = o. Let r = -593 - -593. Suppose -2 = -2*v - 10. Put v, r, o in increasing order.\nAnswer: v, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -18*h**3 + 23*h**2 + 41*h + 1. What is l(-4)?\nAnswer: 1357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = -321653\/209412 - -2\/7479. Suppose -34 = n - 24. What is the common denominator of h and (-15)\/n*201\/63?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify f\/f**(-11\/3)*f*f**(-1\/28)*f*f*(f\/(f*(f*f*f**(2\/7))\/f))**26 assuming f is positive.\nAnswer: f**(-2167\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 91\/(-65) - 286\/(-190)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:47 AM and 9:48 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = 9.519 + -49.551. Let l = c + 0.032. Let u = 39.81 + l. What is u rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -w**3 + 13*w**2 + 16*w + 6. What is the remainder when 101 is divided by h(14)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 4*m + 4*m**2 + 3*m**2 + 26 - 2*m - 4*m**2 - 15 as q*m**2 + c*m + l and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s be (1 - (5 + -4))\/(-3). Suppose s = -13*v + 5 + 8. Solve -5*h + 8 = 3*q, q + 4*h - 11 = v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 10037 or 5471?\nAnswer: 5471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -4*c + 41. Let s be p(9). Suppose -26 = -2*y - 4*o - 0*o, -26 = -2*y - s*o. Suppose -14*v = -y*v - 1255. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 12582095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 173*g - 581*g + 167*g - 6*g**2 + 202*g.\nAnswer: -6*g**2 - 39*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = 5792 + -5075. What is the smallest common multiple of 18 and l?\nAnswer: 4302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 986519604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -2*h - 11. Let p(q) = q**2 + 12*q - 11. Let m be p(-12). What is the remainder when s(m) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100001 + -10001001111011101011?\nAnswer: -10001001111100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 413 divide 980877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 460 by -5466.\nAnswer: -230\/2733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5268722.\nAnswer: 2, 127, 20743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 742130 and 39245.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d = -38\/55 - 1384\/385. Calculate the common denominator of (-2)\/5 - 381\/(-40) and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-20)\/(-5))\/(-1 - (-21)\/18). Suppose -8*y + 7*y + g = 0. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(312) - 6*sqrt(312)*1)\/(-2*sqrt(1452)))\/((sqrt(200)*1 - sqrt(200))*1 - 4*(sqrt(200) - sqrt(200)*2)))**2.\nAnswer: 13\/30976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is ((-139245)\/(-3759615))\/((2\/(-3)*1)\/(64\/(-8)))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:17 PM and 12:43 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3478 is divided by 44?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 450 or -61?\nAnswer: 450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 10587, 24430, 38273, 52116, 65959?\n\"Answer: 13843*v - 3256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 505 minutes after 11:46 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 = 284*a - 289*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in 5, 2\/3, 7\/2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -31*q + 12*q + 10*q + 6*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 13 + -24 + 13 + -8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -17*n**2*p**4 + 2*n**2*p**3 - 2*n**2 - 193*p**4 + p**2 - 964 wrt p?\nAnswer: -408*n**2*p + 12*n**2 - 4632*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -21772 divided by 1302.\nAnswer: -10886\/651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y be 20\/(-3)*(-18)\/(-15). Let w = y + 12. Suppose b - 3*d = w, -2*b + 0*d - d = -1. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 4 - 2)*(3*o + 3*o - 3*o)*(8*o**4 + 16*o**4 + 111*o**4).\nAnswer: -405*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 57 divide 39393099?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -n**2 + 2*n + 6. Let o(b) = 2*b + 7. What is 6*g(z) - 5*o(z)?\nAnswer: -6*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -1687 to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = m**3 - 8*m**2 - 9*m + 12. Suppose 0 = 4*a + 5 - 41. Let h(g) = -g**3 + 7*g**2 - 6*g + 3. Calculate the remainder when h(5) is divided by o(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.077 + 0.027. Let m be (1 + -2)*(-4)\/(-8). Which is smaller: o or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -o. Let i(y) = 13*y**2 + 39*y. Let g(w) = -i(w) - 39*l(w). Let t(m) = -m. Determine g(t(h)).\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of -4.69 and -0.4.\nAnswer: 1.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -208110 divided by 1982?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 116731, 233462, 350193?\n\"Answer: 116731*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3689 is divided by 155.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y = -22599.5 + 22593. What is the closest to 2\/11 in -1\/4, 4, y?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 - (-297)\/24 - (-18 + 29)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(1 + sqrt(931)))**2 + (sqrt(19) + sqrt(171)\/(sqrt(27)\/sqrt(3)))**2*3 + 1.\nAnswer: 56*sqrt(19) + 3957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of v - 100*v**3 + 7*v - 49*v**2 - 6*v wrt v?\nAnswer: -600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -h**4\/8 + h**3\/4.\nAnswer: -h**3*(h - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = t**3 + 10*t**2 + 13. Calculate m(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 66*s + 8*s + 74*s - 439856 = 0. Is 23 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, 1\/2, 41348, -4 in decreasing order.\nAnswer: 41348, 7, 1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 14*g - 1 - 28*g + 13*g - 8. Let t be j(6). Let v = -8 - t. Calculate the remainder when v is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + sqrt(363) + 1 - (-4 + sqrt(363) + 2*sqrt(363)).\nAnswer: -22*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hhxa when four letters picked without replacement from {h: 13, a: 1, x: 3}?\nAnswer: 39\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000966759196 to 7 decimal places.\nAnswer: 0.0000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 32 = a, 53 + 26 = 5*w - 2*a. What is the remainder when 130 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1138*h = -1159*h - 294 - 63 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 1.836477 decades to centuries.\nAnswer: 0.1836477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**0)**(-5\/6)\/((c**(-5)*c)\/c**(-1))*(c*c**3\/c)\/(c*c**(-5))*c**(-3)*c\/((c**0*c*c)\/c*c) assuming c is positive.\nAnswer: c**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 827 < 824?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 30331*m - 15025 wrt m?\nAnswer: 30331","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is two fifteenths of a week in seconds?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -150, -341, -532, -723, -914?\n\"Answer: -191*f + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 93.5486 millennia?\nAnswer: 935.486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 125 + 114 - 208 - 3*l + (-1 - 2 + 5)*(-4*l - l + 2*l).\nAnswer: -9*l + 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 425929038?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s*s**(-1\/5)*s)**(1\/19))**(2\/15)\/(((s\/s**2)\/s)**(1\/6))**(-8) assuming s is positive.\nAnswer: s**(-3782\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -64, -126, -190, -256, -324?\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 144839572, 5.\nAnswer: 2, 5, 144839572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 48, 72, 80, 66, 24, -52, -168, -330?\n\"Answer: -o**3 - 2*o**2 + 37*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 + 2*-10 - 118575\/(-8075).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out 15.178172 + 377808.\nAnswer: 377823.178172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 28831597?\nAnswer: 29, 994193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r be (4\/(-27))\/(-2 - -1). Let j(p) be the first derivative of -1\/18*p**4 - 4 + 1\/9*p**2 + r*p**3 - 4\/9*p. Factor j(v).\nAnswer: -2*(v - 2)*(v - 1)*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-14)\/1*45\/(-315)*3\/(-12)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(49)\/sqrt(112)*2.\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 28*j**2. Let p(q) = 3769*q**2 + 0*q - 3741*q**2 + 0*q. Give d(p(m)).\nAnswer: 21952*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*m + 23 = j, -1 = 5*j - 56 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -511 - 4?\nAnswer: -515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 17871.0273 milliseconds in weeks?\nAnswer: 0.00002954865625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find x such that -4*x**2 + 2884*x + 2888 = 0.\nAnswer: -1, 722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 - (-3 - -3 - 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -19.647884, 1\/7, 1\/5 in descending order.\nAnswer: 1\/5, 1\/7, -19.647884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express -2 + 4*q**3 - 2*q**3 + 5*q**4 + 0*q**3 + (1 - 4 + 0)*(19 + 13*q**4 - 19) as j + a*q**4 + s*q**2 + x*q**3 + d*q and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 676 + 105 = -5*m, 0 = -5*q - 4*m + 716. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) be the first derivative of -5*a**2 - 3*a**2 + 2*a**2 + 0*a**2 - 10 + a. Differentiate g(b) wrt b.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -j. Let c(n) = -n**2 + n - 1. Suppose -4*m - 12 = -8*m. Let q(d) = -10*d**2 + 3*d - 3. Let u(g) = m*c(g) - q(g). Calculate u(t(w)).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -14, 3, 103 in decreasing order.\nAnswer: 103, 3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/11 in 1\/4, 1, 0.09, 2\/61, -3\/2?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = -2*t + 70. Suppose -11*b + 204 = -t*b. Let n = b + 88. What is the remainder when 179 is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 36212 and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 5*l**2*t**3*y + 15144*l**2*y + 557*l*t**3 + 2*l*t**2*y + 280*l + 2*t**3*y + 2*t**2*y wrt l?\nAnswer: 10*t**3*y + 30288*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = -0*h + 5*k + 17, 4*k + 8 = 0. What is the remainder when 18 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v and 1 i when three letters picked without replacement from {v: 5, r: 6, j: 4, i: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*m**2 - 6*m + 2*m**2 - 5*m**2 - 4*m to l + z*m**2 + u*m and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 4) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*l - 6*l + 2 = 0, 2*l - 18 = -p. Suppose 4*j - p = 0, -2*o = -6*o + 2*j + 694. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 4786 and 57432?\nAnswer: 57432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -17 - 4*m - 3 + 4. Calculate the remainder when 17 is divided by o(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 43\/162 and 80\/8631.\nAnswer: 155358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 18437 (b) -0.38 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 23168*c - 7*d + 6 = 23165*c - 3*d, -3*c - 6 = -0*c + 5*d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*x**3 - 3*x**3 - x**3 - 2*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v be (1287\/(-264))\/((-30)\/8). Is 0 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 384667140 to the power of 1\/4, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z = -3*y + 3795, 5*y + 0*z - 6327 = 4*z. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1809100 by 229.\nAnswer: 7900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2871 and 792?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = x**3 + 339*x**2 - 3137*x - 1793. Calculate p(-348).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 10, k: 4, a: 1, l: 2}. What is prob of sequence ak?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -32*j + 35*j - 18. Solve -8*f + j*f - 2 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 79\/510 and 83\/216.\nAnswer: 18360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -4*x**2 - 4*x - 5. Determine j(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 267, 273, 279, 285?\n\"Answer: 6*a + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(sqrt(21)\/sqrt(3))**2 + (sqrt(7) - -5*(sqrt(252) + sqrt(7))).\nAnswer: 21 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (sqrt(4000) + sqrt(4000) + 3*sqrt(4000) + sqrt(4000))\/((sqrt(8) + (sqrt(392) + sqrt(8) - sqrt(8)))*1).\nAnswer: 4 + 15*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 172 minutes before 11:29 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-5 - 3 - 7) + 29. Solve i = -2*q + 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -17833 or -17809?\nAnswer: -17809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0 (b) 1 (c) 2\/7 (d) 0.16 (e) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 213065 is divided by 18953.\nAnswer: 4582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 8*s**2 - 5*s**3 - 8*s**2 + (8*s**2 - 2*s**2 - 5*s**2)*(-61*s - 31414 + 31414) to g + n*s + m*s**2 + j*s**3 and give j.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (19*u**3 - 2*u**2 - 16*u**3 - 2*u + 4*u**2)*(-4 + 4 - 1) to k*u + c + b*u**2 + n*u**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3 + -1.7. Let r = x + -0.3. Let j be 4 - (-22 - -19 - (-4 + -1)). Which is the smallest value? (a) r (b) j (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -2*s**2 - 1. Let i be j(1). Let p = i + 3. Suppose 7*o - 2*o - 30 = p. What is the highest common factor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -s + 2*s**2 + 24 - 22 + 7 - 9*s + 6. Let u be j(5). Solve -7*c = -2*c - u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.3 and -12.851.\nAnswer: -13.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 40561 is divided by 20269.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ddddddddddtdtdt. Give prob of sequence dt.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m = 20.4 - 21.59. Let g = m + -113.81. Let j = 114.9999841 + g. What is j rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 207.0598453 rounded to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o be (9 - 4)\/5*((-13 - -6) + 6). Let s = 165049961\/126 + -1309927. Let q = 81\/14 + s. Which is smaller: q or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 501622 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: Factor -119\/2*w + 1\/2*w**2 + 0.\nAnswer: w*(w - 119)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 293303373 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(-2\/3)*k**(-3\/2)*k**(17\/3)*k**(13\/2)*k*k assuming k is positive.\nAnswer: k**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 257971 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 37578*p**3 - 91*p*y**2 - 8759858*y**2 wrt p?\nAnswer: 112734*p**2 - 91*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -6\/11, 0.3, -1.7, -51?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in five eighths of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -624 = 21*x - 27*x. Let r = -99 + x. Let o(g) = g**3 - 2*g**2 - g - 4. Calculate the remainder when r is divided by o(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1245, 4770, 10659, 18912, 29529, 42510, 57855?\nAnswer: 75564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 33*q - 32*q. Let l(x) = 3*x**2 - 2*x - 1. Let n(m) be the first derivative of 2*m**3\/3 - m**2 - m - 7. Give q*l(u) - 5*n(u).\nAnswer: 2*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h be (5 + (-184)\/36)*-6. Which is bigger: -92 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*k = 19 - 74 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) be the third derivative of 145*j**4\/12 - 2*j**2 - 854. Let w(n) = 5*n. Calculate k(w(r)).\nAnswer: 1450*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.169 + 128.831. Let t = c + -134.9. Let z = t + -11.6. What is z rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 739\/7 + -105. Let v = 4.93 - -0.07. What is the nearest to 2\/11 in 3\/4, v, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m = -3*m + 5*y + 1461, 0 = 5*m - 4*y + 3636. Does 20 divide (m\/(-6))\/(-7)*(-1 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -2*g + 9. Let z be p(4). Sort 0.5, -1, z in increasing order.\nAnswer: -1, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -d - 5*h + 249660, -4*d = h + 3*h - 998560. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3.234 - -3.274. Which is the nearest to -1? (a) -4 (b) 1.6 (c) 2\/3 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = j**2 + 2*j. Let v be x(1). Suppose -v*f + 1156 = -1097. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -17\/35?\nAnswer: -17\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 154 and 6?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 1809*d + 1 + 6 = 1810*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*z = -5*i, -2*z + 17*i + 889 - 794 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 29432 and 25624?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*l - l - 7*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1.208 + 160.292. What is k rounded to zero decimal places?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -13, -72, -163, -286, -441?\n\"Answer: -16*s**2 - 11*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 8363920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -3982*o - 68113. Give s(-17).\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -1 (base 4) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-3)\/(-1))\/36)\/(17205\/1395)?\nAnswer: 1\/148","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3265 + -3265. Let v = -2.7 - -3. Let p = 0.2 + 0.2. What is the nearest to t in v, p, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -b + 10. Let j be o(6). Solve 16 = -j*p - 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*t + 15, 2*y = 2*t + 44 + 6. Suppose 2*z - w = y, -5*w = 5*z - 7*w - 76. Solve z*h + 25 = 11*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4290, 4040, 3788, 3534?\nAnswer: 3278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -397 = 1872*w - 11880 - 1621 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 172804 to the power of 1\/2, to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) be the first derivative of 0*k + 0*k**2 + 1 - 2\/3*k**3. Let r(d) = 178*d + 48. Let c(s) = 102*s + 24. Let w(x) = 7*c(x) - 4*r(x). Calculate u(w(y)).\nAnswer: -8*y**2 + 192*y - 1152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is f in -14*f**5 + 85150*f**4 - 1275600*f**3\/7 - 7295000*f**2\/7 - 6080000*f\/7 = 0?\nAnswer: -10\/7, 0, 5, 6080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + sqrt(1700) + 0 + -3 - (-5 + sqrt(34)\/sqrt(2) + (sqrt(612)*2 - sqrt(612) - sqrt(17))).\nAnswer: -3 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(2\/3))**(-39)*a*a**(5\/4)*a*a\/(a*a*a**(-39\/2)) assuming a is positive.\nAnswer: a**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -291*x**2 + 1157 wrt x?\nAnswer: -582*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:00 PM and 2:42 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10 - 1) + (55 - 69)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 18 + -9. Suppose d = t*d - 32. Suppose -2*g + 4*k = -14, -7 = d*k + 9. Which is the second smallest value? (a) 1 (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 54898730437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) be the third derivative of -u**5\/60 + 7*u**2. Let l(b) = 2*b**2. Give l(c(y)).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l be (34 - -1)\/(5\/(-15)). Let i be l\/(-25) + 2\/(-10). Determine r so that 3\/2*r**3 + 1\/2*r**5 + 0 - 3\/2*r**i + 0*r - 1\/2*r**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8 - 3 - 5 - 6*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -362510*c = -362433*c + 1694 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put together -177364 and 6685407.\nAnswer: 6508043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x = 230 - 234. Let m(w) = w**3 + 3*w**2 - 5*w - 2. Determine m(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 359 a factor of 3379985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -x**2 + 8*x - 6. Let c be j(6). Let u be (-12)\/18 + 58\/c. Find the third derivative of u*y**3 + 2*y**2 - y**6 - 9*y**3 wrt y.\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 347\/(-3 + 6 - 4). Let m = h - -190. What is m rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 39460?\nAnswer: 2, 5, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 837722 is divided by 621.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*z - 15 = -23*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -1 - 3*l**2 - 3*l + 0*l + 0*l + 4. Give m(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 8 - 8.2. Let f = w + 0.1. Which is smaller: 3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from sssgssssssgssgssss. What is prob of picking 3 g?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l + 1119 = -136*l - 2773 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*m - m + 92. Suppose 4*x - 4 = -2*w - 0, m = x - 5*w. Solve 0 = -x*y - 5*j - 17, 0 = 2*y + 3*j + 16 - 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 348191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 31861 is divided by 449.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tahtmjajmhxajhmm. What is prob of picking 1 a and 1 x?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -16\/741 and -11 + (-24428)\/(-2280) + (-8)\/(-20).\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = 3091307*r**2 - 707*r + 1414. Let s(i) = -17465*i**2 + 4*i - 8. Give -4*d(h) - 707*s(h).\nAnswer: -17473*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from dmememmdmeee. Give prob of picking 2 d and 2 m.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -v - 6 = -y, 0 = 5*v + 2 + 3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 156*d = -35081147 + 35091131 for d.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 599 minutes after 8:54 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -274*z = -444*z + 567 - 1927 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -6, 2, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -405*v**3 + 422*v**3 + 1129*v - 1129*v.\nAnswer: 17*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2.01 + 84.99. Let v = 86.6 - w. Which is the closest to 0? (a) v (b) -0.6 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 112506 * 5\nAnswer: 562530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -409ac (base 14) to base 10.\nAnswer: -155580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine a, given that 57*a**2 - 20 + 5*a**3 + 54*a**2 - 96*a**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -1, 4, 0, 12.\nAnswer: -5, -1, 0, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = 22359\/8 - 2783. What is the common denominator of 6\/3*87\/4 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 486*d - 4*d**2 + 481*d + 1 + 5*d**2 - 962*d. Let q(j) = j**2 + 6*j + 2. Calculate 4*b(p) - 3*q(p).\nAnswer: p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 336148 and 148?\nAnswer: 12437476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = 666 - -150. Suppose 4*z + j - s = 4*j, 4*j = 5*z - 1019. What are the prime factors of z?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eqo when three letters picked without replacement from {o: 3, q: 3, e: 1, y: 2, s: 2, b: 1}.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2 - 395?\nAnswer: -393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -m**3 + 5*m**2 + 5*m + 5. Suppose -4*x - 7*v = -5*v - 14, 3*x - v = 23. Let c(k) = k**3 - 3*k**2 - 3*k - 3. Calculate x*t(u) + 10*c(u).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*k**2 - k**2 - 2*k**2 + (6 - 6 - 10*k)*(5*k - 2*k - 4*k) + (-3*k + 3*k + k)*(-6*k + 5*k + 3*k) to the form s*k**2 + q*k + w and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4 in -6, 1, 12, -27\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 185 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -k**2 + 10*k - 10. Let y(x) = 2*x**2 - 20*x + 22. What is 7*h(w) + 4*y(w)?\nAnswer: w**2 - 10*w + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -5, -79 in decreasing order.\nAnswer: -4, -5, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1\/(-2) - 0 - 209\/(-22). Let z(l) be the second derivative of -l**4\/12 + 5*l**3\/3 - 13*l**2\/2 + 13*l + 2. Give z(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**21\/s*s**(-23)\/s*(s*s**(-2\/15))**(-1\/4))**(3\/4) assuming s is positive.\nAnswer: s**(-253\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 - (7 + (-17 - -6 - -3) + -8).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find w, given that 5*w**5 + 194125*w**4 - 776645*w**3 - 2523865*w**2 + 776640*w + 2329740 = 0.\nAnswer: -38829, -2, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.4 - 1.2. Let p = d - -2. Let r = 0.3 + -0.2. Which is the nearest to r? (a) 0 (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 43 + -22. Suppose -s - 3 = 6*x. Let u be (-2)\/x*0*3\/12. Solve 6 = 2*v - u*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -3 - -9 - (-170126)\/(4\/2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sg when two letters picked without replacement from {g: 1, s: 1, k: 1, h: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -28*h + 409. Let b be w(15). Let r(l) = l**3 + 4*l**2 + 4*l + 4. Let v(q) = 3*q**3 + 11*q**2 + 11*q + 13. Determine b*r(g) + 4*v(g).\nAnswer: g**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 4 = -a, -4*a + 1 = 9. Let q be ((-5)\/((-75)\/10))\/(341\/(-12)). Let u = -7\/62 + q. Which is bigger: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y - 14 = 1. Let a(x) = -980*x + 27444. Let m be a(28). Put m, y, 9 in ascending order.\nAnswer: y, m, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 125402078 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a = 6.8 + 2.2. Let i = -7 + a. Let y = -6 + 4. Put 4\/5, i, y in descending order.\nAnswer: i, 4\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*n**3 - 303025*n**2 + 303020*n.\nAnswer: 5*n*(n - 60604)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 61 = -25*b + 357 - 146 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4409*y**3 - 4374*y**3 + 0*y**2 + 13203*y**3 + 0*y**2 - 4390*y**3.\nAnswer: 30*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = -3, -4*j + 18 = -h - 2*h. Let r = -13.4 - -0.1. Let f = r + 4.3. Which is the second biggest value? (a) h (b) f (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) be the third derivative of -2*t**7\/63 + t**6\/240 + 31*t**5\/15 - 75*t**2. Let r(v) be the third derivative of b(v). Differentiate r(f) wrt f.\nAnswer: -160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 466 minutes after 8:51 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (128\/(-28))\/(4\/(28\/(-125)) - (706 - 723)).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 65518?\nAnswer: 2, 17, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 i and 1 z when four letters picked without replacement from ziiiiiziiiiiiiiiiz.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1)\/3 + (8 - (-121)\/(-33)). Let x(k) be the first derivative of -1\/2*k**g - k**2 + 0*k + 4\/3*k**3 - 3. Factor x(i).\nAnswer: -2*i*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 + n - 1 - 4 + 3*n + 4 + (2 - 4 + 0)*(n - 2 + 2).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**0)**(-2\/9)*(k*k**0)**(-2\/7))\/(((k\/((k*(k\/(k*k\/(k\/k**(2\/9))))\/k)\/k))\/k*k)**(7\/9)\/((k\/k**(-8))\/k**(3\/5))) assuming k is positive.\nAnswer: k**(18104\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29*f + 252 = -23*f. Which is bigger: f or 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = 14*m - 1646, -3*m - 3*h = m - 464. Which is smaller: 112 or m?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 24*m**5 - 79*m**3 + 79*m**3 - m**5 + 0*m**5 - m**5 + (3*m**4 + 0*m**4 - m**4)*(4*m + 5 - 5).\nAnswer: 30*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 37\/372 and -26\/217.\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.12 in 3, 0.4, 17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-1)\/(-3))\/(5\/75). Suppose -5*b - 84 = t - 3*t, -p*t = -3*b - 58. Let y = b - -28. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 84 - (-2)\/(-3)*(-45)\/30. Let a = 81 - w. Let m be 195\/12 + ((-7)\/a)\/(-7). Solve -x - 3*x = -m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 198246 divided by 5217.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 20*q**2 - 13 + 27 + 5*q + 2 - 6. Is t(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is eighteen sevenths of a week in days?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.7113 - 0.4113. Let a be (5\/((-325)\/(-28)))\/(-2). Let c = 5\/13 - a. Sort -5, -2, c, f in ascending order.\nAnswer: -5, -2, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: d (base 16) to base 8\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 5984480860 a multiple of 4324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 289.6215 hours in days?\nAnswer: 12.0675625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7 + (-49)\/7 + -2 - -803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10391*t - 28316182 + 28316182.\nAnswer: 10391*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (4\/(-4))\/(-7*(-4)\/14)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 139 is divided by 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17637880 is divided by 200.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -21998812*t**4 + 5436019*t + 80 wrt t.\nAnswer: -263985744*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*(b\/b**(-5\/3))\/b*b*b)\/b*b**(1\/6)\/b)\/(b**4*b**(-2\/5))*((b**(-3\/4)\/b*b)**(-16\/7))**(2\/25) assuming b is positive.\nAnswer: b**(-661\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -575*f**3 + 11*f + 2. Let n(m) = 288*m**3 - 6*m - 1. Let q be (-735)\/98*(-8)\/(-10). Let j(i) = q*l(i) - 11*n(i). Differentiate j(s) wrt s.\nAnswer: 846*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 144 divide 19493632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 6b1875 (base 12) to base 6.\nAnswer: 100541425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 50 + -30. Suppose j - 8 = -r. What is the common denominator of -36\/5 and 18\/(-20)*(-112)\/j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*r - 100817 - 29647 = 0. Suppose -3*o - r = -19*o. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 73 - 72. Let z(u) = 498*u**3 + 2*u**2 - 2*u + 1. Is z(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -2707, -2723, -2755, -2809, -2891, -3007, -3163, -3365?\n\"Answer: -w**3 - 2*w**2 - 3*w - 2701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16\/6*(-31806)\/1116.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put together 2 and -212.772896.\nAnswer: -210.772896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -666*y - 225 = -675*y. Solve -h - y = -6*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -161 - -228. Suppose -f = -t - 3*t, 0 = t + 3*f. Suppose 1 = -y + 3*w - 0*w, t = 5*y + 3*w - h. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 35\/(-630) - 13\/(-18)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 4 (b) -1 (c) 0.1 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 4*f = 3*o + 8, 70 = 5*o - 2*f. Let n = 6 - 6. Solve n = -0*w - 4*w + o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-9 - -27)*1\/3. Solve b = -11*w + 14*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -34 - afa0?\nAnswer: -afd4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 2272.2105 milliseconds?\nAnswer: 0.037870175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -26*n. Let u(h) = -99*h**2 - 3*h + 15. Determine v(u(p)).\nAnswer: 2574*p**2 + 78*p - 390","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -242.26 rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-83)\/166 - 7*1\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (-2*(-5)\/(-30))\/((-1)\/12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -16126794*k**2 - 21379223 wrt k.\nAnswer: -32253588*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8*(-5)\/(-12)*(432\/(-55920))\/3.\nAnswer: -2\/233","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.43 + -27.93. Let g = k - -156.5. Put 1\/6, -2, g in descending order.\nAnswer: g, 1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/5? (a) -1 (b) 5 (c) -20 (d) 74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 622.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 29*u**2 + 30*u**2 + 25*u**2 to p*u + q*u**2 + l and give q.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -d**3 - 6*d**2 + 5*d - 9. Let r be f(-9). Let a = -342 + r. Is ((-2)\/3)\/(6\/a) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -1327221 + -3\nAnswer: -1327224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = b**3 - 4*b + 3. What is the units digit of l(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.099598916 to 4 decimal places.\nAnswer: -0.0996","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let -4*m**5\/5 + 624*m**4\/5 - 19524*m**3\/5 + 38024*m**2 - 324144*m\/5 + 152928\/5 = 0. What is m?\nAnswer: 1, 18, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 15186900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = 13 + -8. Suppose -3*o + 33 = 4*w, 4*o = 8*o - 3*w + 6. Determine z, given that t*z - 1\/2*z**4 - 6*z**2 - 3\/2 + 3*z**o = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -530*h**3 + 47*h**2 + 2*h + 1. List the prime factors of c(-2).\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 7, g: 5, i: 3, w: 4}. What is prob of sequence vw?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 23629935229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 110*k - 985 = 5 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 31*i = 39*i + 48 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is sixty-three eighths of a litre in millilitres?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 14 minutes before 3:15 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*i = -4*s - 23*i + 6380, s - 4*i - 1595 = 0. What are the prime factors of s?\nAnswer: 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 148*x + 3 + 48*x**2 - 114*x**2 + 66*x**2 - 4*x**3 to n*x**2 + i*x**3 + f + v*x and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 11443589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = 34 - -11. Let i(p) = p**2 - 7*p - 9. Suppose -10*r + 14*r - 36 = 0. Let k be i(r). What is the greatest common factor of z and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from etusefees. What is prob of picking 1 f, 1 u, 1 t, and 1 e?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 1168601174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out -2171.2215 + 7327.507.\nAnswer: 5156.2855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -2*g**3 - 176*g**2 + 362*g + 188. Give q(-90).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = 20*f**3 - 4*f + 3. Is x(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 45 and 85725?\nAnswer: 85725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -v - 2*g - 17 + 20, g = -2*v. Is v at most -1\/1466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: Let m be ((-2)\/5)\/(56\/(-40)). Let h = -0.0188 + 0.1188. Which is the closest to h? (a) m (b) -1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (2\/((-12)\/(-42)))\/(13\/(-1365)*7*-3)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 378386 bigger than 378385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -c. Let n be w(-4). Suppose -s - 4 = 0, -2*j = 2*j - 2*s + n. What is the tens digit of j\/18*2*-39?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -87 - -608\/7. Let r = -0.4 - -0.3. Which is the closest to r? (a) u (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-5)\/(-15))\/(7\/(-28)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2 - 12. Suppose 0 = -22*g + 12 + 76. Which is smaller: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2122*b - 2113*b - 132 + 6 = 0 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 197 - 12. Suppose -5*a + 0*a = 5*p - v, 4*a - p - 173 = 0. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*m**2 - 17055 + 17055.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -214*q + 255. What is d(2)?\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -40152 divided by -42\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -618\/7 (b) -16 (c) -8 (d) 0.1 (e) -0.1 (f) 3 (g) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/((s*s*s**26\/s*s*s)\/s)*s)\/(s*(s\/(s**(-13)*s))\/s)*(s\/(s\/s**1))**(-26\/3) assuming s is positive.\nAnswer: s**(-143\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*c + 4, 8*t - 2933 = 5*t - c. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in 2\/551, 1, -4, -3?\nAnswer: 2\/551","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*y**2\/5 + 552*y\/5 + 5588\/5.\nAnswer: 4*(y + 11)*(y + 127)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 4*r. Let q(t) = 117 - 56 - 15*t**2 + 13*t**2 + 220 + 64. Calculate j(q(y)).\nAnswer: -8*y**2 + 1380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 2813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -n = 4*p + 1, -9*n = -4*n - 15 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -2*y + 39. Is d(5) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 1867, 0.03, 2\/3, 1, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6042700 is divided by 251779.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-70)\/10)\/(-7)*(18 + 1). What is the smallest value in 5\/3, n, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 29 + -25. What is the tens digit of 2*(l - 111\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -2*a. Let g(l) = -75*l + 38*l + 32*l. Calculate g(k(t)).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -9*d**2 + 3*d + 24*d**2 - 4*d. Let f be m(-1). Calculate the greatest common divisor of f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = f**3 + 22*f**2 + 20*f - 18. Suppose -b = 4*j + 82, 5*j - b = -2*b - 103. Let y be c(j). Suppose y*q - 61 = -2*m, 4*q = m - 0*m - 58. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -13064 divided by 184\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:49 AM and 1:33 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 18 + 3 = 5*g, -3*z + 9 = -3*g. Let j be 339 - 9 - (0 + -1 + 1). Suppose z = -4*r - 7*r + j. Calculate the least common multiple of 1 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 25480 - 6677. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-14)\/((-280)\/(-15)))\/(-9*10\/3480)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -102374, -102350, -102316, -102266, -102194, -102094?\nAnswer: -101960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -n**3 + 22*n**3 + 10*n**3.\nAnswer: 31*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-12)\/(-20) - 69\/15)\/(65 + -59).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 144 (base 5) to base 3\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6104126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -4370.47256 rounded to the nearest 10?\nAnswer: -4370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/15 in 0.2, 1494, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1410 is divided by 430.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 1, m: 5, c: 1, b: 7, r: 2}. Give prob of sequence bmr.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 97935.42s in microseconds?\nAnswer: 97935420000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 10) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 472 minutes before 4:57 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w be 12\/(-42) + 16\/7. Suppose -p + 15 = 3*x - 0*x, -5*x = 3*p - 29. Suppose f + 7 + p = -4*o, -w*f = -o - 7. Solve f = -i - 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -6*j**3 + j**2 - 1430*j + 9922 wrt j.\nAnswer: -18*j**2 + 2*j - 1430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = -39.666977 + 35.96706. Let h = w + 3.7. What is h rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3222, -3221, -3220?\nAnswer: -3219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2439 + -874. Let o = -31351\/20 + p. What is the common denominator of o and 2\/(-1) - (-71)\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*i + 21132 = -4*j + 21156, 8*j + i = 3*i + 18 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-36)\/78)\/2*14\/63. What is the closest to -0.1 in j, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*w + 44*w**3 - 3*w.\nAnswer: 44*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 9*w**2 - w. Let k(g) be the first derivative of 4*g**3\/3 - 2. Let u = 0 + 2. Let i(v) = u*x(v) - 5*k(v). Factor i(r).\nAnswer: -2*r*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from tecxlhlcheeetxeltxc. Give prob of sequence tht.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 1 u when two letters picked without replacement from leupweu.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -15.44034919 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -1785.67 to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -232*m - 240*m + 473*m + 1. Let l be 5\/(-3) + (-2)\/6. Calculate n(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 39888 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 6498 and 208449?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 12994.984 rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) be the second derivative of 3\/140*a**5 - 1\/28*a**4 + 12*a + 0*a**3 - 1\/98*a**7 + 0 + 0*a**2 + 1\/70*a**6. Solve r(b) = 0 for b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.014138 rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 46550231 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = 77 + -26. List the prime factors of p.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4031.999998237 - -4032. Round u to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be -11*75\/90*4\/10 + 5. What is p in -2*p**2 + 3*p - g + 1\/3*p**3 = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 824352 divided by -4432.\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of ((-5)\/3)\/(-8 - (-3312345)\/414045)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3 + 30. Calculate the remainder when y is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -84 divided by -14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Total of -716445 and -8082.\nAnswer: -724527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -7472948, -14945898, -22418848, -29891798, -37364748?\n\"Answer: -7472950*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 692.5395cm to meters.\nAnswer: 6.925395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 143378412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 204006 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3 + 6. Let o(r) = r**2 - 35*r + 196. Let a be o(7). Put q, 4, a in decreasing order.\nAnswer: 4, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*x = -3*h - 37, 2*x - h = -4766 + 4777 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 72754500 a multiple of 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -5*x - 13. Determine u(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 31807211 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:33 AM and 3:38 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 43568818 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -70 = 5*f - 6*f. What is the remainder when f is divided by ((-4)\/(-5))\/(4\/90)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10 - 8) + -12 + 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 9*h + 38. Let s be y(12). Suppose -1 + 1 = -2*t. Suppose t*q + s = f + 3*q, 4*q = -4*f + 624. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 73 = 5*p + 63. Let y be (-10)\/p - (-1 + -2 + 0). Which is the nearest to -2\/5? (a) -2\/15 (b) -2\/29 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x - 3*p = -12, x = 6*x - 4*p - 2. Suppose -884 = -2*r - x*r. Suppose -2*y + 6*y + 5*q = r, 3*y - 127 = 4*q. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 0.8859757 millimeters?\nAnswer: 0.08859757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 627 (base 9) to base 15\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 2*i**2 - i - 1. Let c be j(-1). What is the third derivative of 3*z**2 - 2*z**5 - 1 + z**c + 1 wrt z?\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-27)\/93393)\/(0 - (-149)\/502449). Let l = -145\/149 - b. Let x = 28769\/32284 + l. What is the common denominator of -121\/10 and x?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) be the second derivative of -2592*b**2 - 76*b - 3\/20*b**5 + 0 - 9*b**4 - 216*b**3. Suppose d(o) = 0. What is o?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + (-29 - (-11 + -5)) + (3 - -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 7 + -1. Let d = 2 + 0. Solve d*k + 0 = -r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + -4*sqrt(13) + 2.\nAnswer: -4*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1167475.\nAnswer: 5, 17, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Subtract 1.569 from -0.1.\nAnswer: -1.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -43*k = -59 - 156 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 953 is divided by 252.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (324\/(-180))\/(4\/60)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 46 = -2*b + 37, 44 = 4*u - 4*b. Let n be (-2)\/5 + 126\/u. What is the derivative of n*d - 3 - 8*d - 3*d**4 wrt d?\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-243)\/(-6)*250\/15. What is the highest common divisor of 15 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -2*u - 6. Let k(r) be the third derivative of 0*r + 1\/6*r**3 + 0 - 3*r**2. Suppose -7 = -4*c + m, -4*c + 2*m + 8 = -2. Give c*y(d) + 4*k(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -5743*p - 132095. What is c(-23)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:05 PM and 9:00 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g be 0 + (-3 - -2) - -2. Let k be g\/(3\/(-3)) + 21. Solve -2*r + 6 = -3*b + 2, -2*r - 3*b = k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (11 - -6) + -415 + 393.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Let d = -80 - -90. Suppose d*q + 35 - 85 = 0. Solve t - 20 = 3*t - q*p, -23 = 3*t - 4*p for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 580 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: Suppose -3*l + 4766 + 4522 = j, -j - 5*l + 9282 = 0. List the prime factors of j.\nAnswer: 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 4 + -13410234333?\nAnswer: -13410234324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*y**2\/21 + 19350*y\/7 + 35852300\/21 = 0 for y.\nAnswer: -605, 29630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/(p*p**(2\/53)))**7\/(p\/(p**(30\/11)\/p)*p\/(((p**(-6)\/p)\/p)\/p)) assuming p is positive.\nAnswer: p**(-5560\/583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (-8)\/230*((-255)\/6)\/17\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 - (3 - (-2 - (-9 + 0))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - 5*o + 43 = 0, -3 = 5*o + 2. Calculate the remainder when ((-30)\/r)\/((-2)\/36) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -9*z - 46*z - 330 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 15*(-12)\/(-3)*(-99)\/(-396)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -20212001 - 10?\nAnswer: -20212011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve z + 3 = -3*l, -3*l + z - 13 = 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 78869*a**5 - 19411*a**2 wrt a.\nAnswer: 4732140*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 2311851 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -q**3 + 2 - 2*q**4 - 2*q**3 + q**2 + 10*q**3 - 9*q + 4*q**3 - 3*q**2 as j*q**4 + x + y*q**2 + w*q + r*q**3 and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -125 + 125 = 7*v. Sort 3, -4, v, -1 in decreasing order.\nAnswer: 3, v, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -5, 0.2736, 10, -1\/5?\nAnswer: 0.2736","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 2, g: 5}. What is prob of sequence gg?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-71*s + 71*s - 25*s**2)*(2*s**2 + 2 - 2)*(-91 + 0 + 157).\nAnswer: -3300*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = 11 - -11. Let r = -5 + y. Suppose -5*u + 3 + r = 0. Solve 3*g - g = -u for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 + 0 + 4)*(4*q + 4*q**3 - 2*q - 5*q**3)*(-4*q + 3*q + 3*q) to the form u*q**3 + z*q**2 + h*q + o + f*q**4 and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -359727, -1438875, -3237453, -5755461, -8992899, -12949767?\nAnswer: -17626065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.1239 + 0.1239. Which is the nearest to 4\/13? (a) -3 (b) s (c) 5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 930913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) be the second derivative of 7*z**4\/12 + 8*z**3\/3 - 3*z**2 + 95*z + 9. What is a(-4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -13, 3, 0.1, -0.2, -71 in decreasing order.\nAnswer: 3, 0.1, -0.2, -13, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1.1 + 3.1. What is the closest to j in 5, 8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -162 + 158. Let s = -151 + 1205\/8. Which is the second smallest value? (a) 3\/4 (b) h (c) s (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor k**3\/3 - 95*k**2\/3 - 3248*k\/3 - 8036.\nAnswer: (k - 123)*(k + 14)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = 6379 + 52381. What is the thousands digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = i**3 - 8*i**2 - 10*i + 4. Let u be h(9). Let q be ((-2)\/6)\/(u\/60). Solve -g - q*f = 15, 4*f + 0 = -20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 321 and 7135937.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) be the first derivative of -2*q**3\/15 + q**2\/5 + 10. Factor i(p).\nAnswer: -2*p*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4170 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = -4 + 6. Let h(r) = r**3 - 51*r**2 + 47*r + 155. Let y be h(50). Solve -q + 7 = -y*q + x, -x + 3 = -c*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.059 + -4.059. Suppose -d = 4*z + 9, 0*z - 9 = -z - 4*d. What is the fourth biggest value in z, -0.1, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -16*l**2 - 109*l + 20. Let s be z(-7). Let t = 16.3 - 2.3. What is the nearest to t in s, 1\/3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1051 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3065605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2\/4 - 1\/2. Suppose f = -2*k - k + 3*b + 42, 3*k - 26 = -b. Suppose 35 = -5*p - 5*y, -4*p + y - k = -y. Put -5, p, -2\/5 in ascending order.\nAnswer: -5, p, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3545536111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -52, -81, -100, -103, -84, -37, 44, 165?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -54, 1171, 4606, 11355, 22522, 39211, 62526?\n\"Answer: 184*s**3 + s**2 - 66*s - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -14\/127 and -29\/2?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -2*w**3 - 20*w**2 - w - 10. Let u be b(-10). What is the nearest to 0.5 in -5, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -262224244 + 490127308. Let z = w - 227902953.000067. Let s = 111 - z. Round s to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -54? (a) -4 (b) 1 (c) 3 (d) 8600\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Subtract -6.9 from -0.5246812.\nAnswer: 6.3753188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -r + 8. Let k be a(-5). Let u = -6 - k. Let q(w) = -63*w + 10. Is q(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 971146 is divided by 406?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 1\/1385, -31\/35, -0.3, 1, -0.4?\nAnswer: -31\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1158 + -56740\/49. Let s = p - 1061\/784. Calculate the common denominator of s and 17\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -2*z**2 + 19*z - 14. Let f be c(8). Calculate the highest common divisor of 70 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -3171042 (base 8) to base 4\nAnswer: -3033020202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 452 + -397. Let m = -7 + r. Calculate the smallest common multiple of m and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three eighths of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 334677 and 434.\nAnswer: 20749974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*h - 9*h + 5*l + 11 = 0, -15 = 5*h + 5*l. Let s(u) = 12*u**2 - 9*u - 9. Let j(o) = -3*o**2 + 2*o + 2. Calculate h*s(x) - 9*j(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -3 and 1076?\nAnswer: -3228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4009 - -60044\/15. Let f = -27\/5 - k. Which is the nearest to -1? (a) f (b) 0 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) be the third derivative of k**5\/30 + k**4\/24 - 2*k**3\/3 - 11*k**2. List the prime factors of u(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 42 - 37. Suppose 2*i + 8 = -f*t + t, -4*i = t + 23. Let y(m) = 8*m**2 + 2*m - 6. Let l(v) = v**2 - 1. Give i*l(g) + y(g).\nAnswer: 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3588 - -3588.1. Which is the fourth biggest value? (a) 3 (b) 2 (c) 9.2 (d) x (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 65 = -2*w + 25, -4*c + 75 = w. Let m = c + -18. Solve 3*o - 7 = m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*y**2 - 2*y**3 - 4*y**2)*(90 - 66 + 4*y**2 - y**2) + 6*y**3 - 12*y**5 - 44 + 44 + (-y**4 - 3 + 3)*(y - 3*y + 0*y).\nAnswer: -16*y**5 - 42*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x be 197 + (-1 - -2)*1. Let z = x - 134. Let o = z + -53. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -143\/60 and ((-12)\/(-30))\/(16\/355).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -9*x + 454. Let s be w(42). Is s bigger than 76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t\/(t\/(t\/t**(-2\/17)*t*t))*t*(t**(-1\/49)\/t)\/t)\/((t\/(t\/t**(-1\/51)))\/t)**(-3\/2) assuming t is positive.\nAnswer: t**(1306\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = 15 + -9. Let k(r) = -n*r - 6*r + 4*r + 2*r. Let o(d) = 3*d**2. Calculate k(o(q)).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y = f - 78, -f = -y - 3 + 21. What is the remainder when 123 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 95 divide 960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + (4 + -6 - -10) - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 43165, 43129, 43093, 43057, 43021, 42985?\nAnswer: 42949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) be the third derivative of -r**6\/24 + 5*r**5\/4 - 35*r**4\/12 - 296*r**2. Factor c(n).\nAnswer: -5*n*(n - 14)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u + 3*u = 60. Let a = -18 + u. Suppose a*k - 3 - 5 = 0. Calculate the lowest common multiple of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-1134)\/(-49)*(-42)\/(-9). What is the greatest common divisor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 18\/2 - (-3 - 2\/(-1)). Suppose -11*d + 7*d = -3*g - j, 3*g - 3*d = -6. Solve 12 = -g*p + 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7 + ((17 - (3 + 6)) + -17 - -5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 114 is divided by 4 - 2*4\/8*-9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 1 = -5. Let a = h + -2. Suppose -1 = -k + a. What is the smallest value in -0.1, 4, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5\/2 + 3. Let b = -1.35 + -0.05. Let n = -8.4 - b. Which is greater: n or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 42*x + 13. Let w be k(6). Suppose 5*f = 5*t + w, -3*f + 4*t + 70 + 89 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s + 2*i = -36, -5*s + 2*s + i = -25. Suppose s*y + 52 = 11*y. Suppose 98 = -t + 3*t. Calculate the remainder when t is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 0.3, 532, 0.09, -4.73?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Simplify ((w*(w*w**6*w)\/w*w*w)\/((w*w**(1\/7)\/w*w*w)\/w))**(-32) assuming w is positive.\nAnswer: w**(-1984\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -33861c (base 14) to base 11\nAnswer: -a97233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 256151 + -321?\nAnswer: 255630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-4)\/14 - (2 + (-2528)\/28). Suppose 6 = 3*a + h - 47, -5*a = 2*h - i. What is the tens digit of (-100)\/((2\/(-6))\/(6\/a))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 217971147 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45 + 72 = -3*y + 4*t, 0 = -y - t - 2. Put 684, y, 0 in increasing order.\nAnswer: y, 0, 684","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*a + 1 - 1)*(-4 + 3 + 5).\nAnswer: 28*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 21 - 8 - 4 - 3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -2 + c**3 + 0*c + 4*c**2 + 5*c - 2*c**3 + c. Let m be j(5). Suppose -3*o = -m*f + o - 9900004, 2*f = 3*o - 6600003. Round f to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 840 - 323. Calculate the greatest common divisor of b and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 18*w**3 + 8*w**2 + 20290*w + 40559. Give d(-2).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x - 23*t + 231 = -28*t, -3*x + 336 = -4*t. Suppose -12*d + x = -0*d. Let r(f) = -f**2 + 8*f + 8. Calculate r(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o - 3 = 3*t, -49917*o + 2*t = -49916*o - 16 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 28221257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 0.9421586 centimeters?\nAnswer: 9421.586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 156 divide 494236988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -9*b + 6. Let y be m(8). Calculate the common denominator of 2 + y\/4 + 2 and (6\/2)\/((-22)\/(-8)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -m + 5. Let a be o(5). Suppose 3*j + 9 + a = -x, x + 3 = -j. Let t(z) = 0*z**2 + 2*z + z**2 + x*z**2 - 30 + 23. Give t(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1081 - 1067. Let q(v) = v - 1. Let g(y) = y**2 - 8*y - 8. Let o(k) = g(k) + 3*q(k). Is o(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 32042739?\nAnswer: 3, 17, 628289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 5*f**3 - f**2 + f. Let x be l(1). Suppose x = y - 2. Solve 4*m - 13 - y = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 599*n. Let d(l) = -2*l. Determine t(d(c)).\nAnswer: -1198*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 98*w**3 - 37*w**2 + 250*w + 36. Is t(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by -1239?\nAnswer: 5\/1239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) be the third derivative of h**8\/336 - 11*h**7\/630 + h**6\/72 + h**5\/60 + 17*h**2 + 2. Find c, given that w(c) = 0.\nAnswer: -1\/3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 31 (base 5) to base 11\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j = -j + 20. Suppose i = 2*q + 5, j*i - 12 = -5*q + 2*q. Suppose -15 = -i*v - 2*v, -g = -4*v - 4. What is the least common multiple of 18 and g?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -15*q**2 + 453*q + 58. Calculate k(30).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 3 - -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = 43 - 27. Let l be (-44)\/(-20) + i\/20. Find the third derivative of -5*p**2 - l*p**2 + 4*p**2 + 5*p**3 - p**3 wrt p.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b + 3*m - 63 = 0, -m + 25 = b - 6*m. Calculate the smallest common multiple of b and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 35*t**4 - 35*t**4 - 13*t**5 + (-t**4 + 0*t**4 - t**4)*(t - 2*t - t) - 3*t**5 - 3 + 3.\nAnswer: -12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 1\/2 (b) 42 (c) -2\/35 (d) 3\/4 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -6*h**2*t**3 + 940*h**2*t**2 + 42*t**3 + 45*t**2 wrt h?\nAnswer: -12*h*t**3 + 1880*h*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/(-5*3\/(-15)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -9229 - -9239. What is the closest to -1 in 1\/3, n, -1\/114?\nAnswer: -1\/114","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -11 - 10?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2 + (1 - 2 - -17). Let w be l + -17 - (1 - -1). Is 5\/13 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -150118420 divided by 2.\nAnswer: -75059210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 326, 628, 930, 1232?\n\"Answer: 302*p + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 2*n + 2. What is b(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 15 - -4 - (-2 - -97)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + (-44 - -67) + -48?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 19450.042 - 19421. Let f = t - 0.042. Let u = f + -28.99953. Round u to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) be the first derivative of l**9\/1512 + l**5\/60 + l**3\/3 + 3. Let d(n) be the third derivative of x(n). What is the second derivative of d(b) wrt b?\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 3*i**2 + 4*i - 1. Let o be y(3). Suppose 0 = 2*t - 5*q + 61, 4*t - 4*q + 2 = 5*t. Let h = t + o. Calculate the least common multiple of h and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 7, -0.1, 4, -0.4 in decreasing order.\nAnswer: 7, 4, -0.1, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4\/281609 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rgcg when four letters picked without replacement from {g: 4, c: 2, s: 2, r: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = -30 - -58. Suppose -5*t - d = -u, 0*t - t = -2*u + 56. 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: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 170\/6249363?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Are 153616469 and 153616468 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 73 - 186*m**2 + 189*m**2 - 150 + 77.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + 8 + -13 + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (15 - 13*y + 1 + 15*y)*((-4 + 2 + 1)*(-y**2 + 3*y**2 - y**2) - y**2 + 2*y**2 - 3*y**2) to g*y**2 + u*y**3 + v + x*y and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1 - -212313004143?\nAnswer: 212313004142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express -5*t**3 - 19*t - 30*t + 4*t**3 - 9 + 44*t as g + v*t**3 + a*t**2 + w*t and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/4 in 13, -2, 2, 43\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 101483945?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is -1637971955 less than -1637971955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-24)\/4*(-1)\/(1 + 0). Calculate the highest common factor of 12 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 575981104.\nAnswer: 2, 53, 679223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 54*r = 49*r - 5. Let z = -2 - -2. Which is the nearest to z? (a) r (b) -2\/17 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2672 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2154*t + 2601*t - 3590*t.\nAnswer: -3143*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -2*j + 18. Let i be m(8). Let u(q) = 1 + 7 - i*q - 12. Let v be u(-6). What is the highest common factor of v and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32*b - 7854 = -2*b. Calculate the highest common divisor of 539 and b.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -18*p**2. Let z(c) = -12841*c - 13. What is z(l(q))?\nAnswer: 231138*q**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = 46*t + 1 - 1 - t**2 + 105*t + 117*t. Let r(c) = c. What is v(r(x))?\nAnswer: -x**2 + 268*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 9 = -6*v. Let f be 15\/(v\/(-3))*(-1)\/(-1). Suppose -5*y = l - 91, -89 = -l + 2*y - f*y. What are the prime factors of l?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**(-2)\/(v*v**(4\/3))*v**(-1\/16)\/v**(-2\/13) assuming v is positive.\nAnswer: v**(-2647\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -0.3 * -5155.949\nAnswer: 1546.7847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -10777806*o - 411881359 wrt o.\nAnswer: -10777806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) be the second derivative of 5*h**6\/144 + 19*h**5\/60 + 9*h**4 + 148*h. Let f(n) be the third derivative of k(n). What is the derivative of f(q) wrt q?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 204824 is divided by 539?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 399 minutes after 1:33 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = -485 + 487. What is the nearest to -2 in 5\/2, 0.2, x, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) be the second derivative of 0*v**2 + v + 0 - 1\/3*v**3 + 5\/6*v**4. What is the second derivative of g(w) wrt w?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (10*a + 3*a + 13*a)*((-2 + 3 - 2)*(-2 + 5 - 1) + 3 + 1 - 3 + 17 + 23 + 19) in the form k*a + p and give k.\nAnswer: 1508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 3, u: 2, q: 1, c: 3, a: 1, l: 5}. What is prob of sequence cd?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1040050 + -30?\nAnswer: -1040120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -p**3 - 6*p**2 - p - 5. Let v be w(-6). Let h be -1 + v + 4\/2. Suppose h - 30 = -2*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 98, 103, 112, 125, 142?\n\"Answer: 2*o**2 - o + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000963854 rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (71*r**5 - 327*r**5 - 394*r**5 + (0 + r**3 + 0)*(-r**2 + 2*r**2 - 2*r**2) + r**3 + 2*r**5 - r**3 - 4*r**5 + 2*r**5 + 0*r**5)*(4 + 1 - 1).\nAnswer: -2604*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 3 - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 16156 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from tttjjjtttjttjtjjjj.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -b**2 + 5*b + 4. Let l be d(5). Let g be 7\/(-14) - (-2 + (-2)\/l). Determine u so that -18*u**g - 18*u - 2\/3*u**4 + 0 - 6*u**3 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 1, a: 8, c: 6, i: 1, h: 4}. Give prob of sequence mc.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1072 and 704.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 9*n - n**2 + 0*n**2 - 3 - 11*n + n**3. Is 3 a factor of m(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 173716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = 8.4 - 0.4. Let i = -24 - s. Let k = i - -36. Which is the second biggest value? (a) -1 (b) k (c) -2\/3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-25)\/((-15)\/(-2) + -10). Suppose i = 3 - 0. Suppose 5*q + 14 = 4*m + 7*q, m - i*q = 7. What is the highest common divisor of l and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*d - 7*d + 3*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 0.03 (b) 0.4 (c) -3\/7 (d) -128 (e) 2\/9 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 4*k**2 + 2. Let l(a) = -9*a**2 - a - 4. What is -7*b(w) - 3*l(w)?\nAnswer: -w**2 + 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s = -0*s - 15. Suppose 0 = n + 2*n. Suppose n = -0*b - 2*b + 24. Solve 4*u + s*d = -11, -4*u + d = 5*d + b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18090190.\nAnswer: 2, 5, 23, 78653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Let d(c) be the second derivative of -7*c**5\/10 - 70*c**2 - c. What is the first derivative of d(q) wrt q?\nAnswer: -42*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3671, -2757, -271, 4573, 12561, 24479, 41113?\nAnswer: 63249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be (3 + -9)\/((-4)\/2). Suppose 2*g - 3*g + 38 = -m*w, 5*w + 34 = g. What is the remainder when g is divided by (15\/(-7) - -3)*14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13716 divided by 16734?\nAnswer: 2286\/2789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 + 9*b - 142991*b**2 + 142697*b**2 - 1 - 2.\nAnswer: -294*b**2 + 9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 7*y**6 - 848796*y**4 + 203043454*y**2.\nAnswer: 840*y**3 - 20371104*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -n**2 - 7*n + 6. Let x be u(-7). Let f(d) = -d**3 + 7*d**2 - 5*d - 7. Let w be f(x). Which is the smallest value? (a) 6 (b) -2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.08, 3, -2.\nAnswer: -2, -0.08, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = p**2 - 2*p - 5. Let i be (-1)\/(2\/(-222)*-3). Let k = 5 + i. Let o be (k\/28)\/((-4)\/14). What is f(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.01 (b) -4 (c) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -2*q. Let f(t) be the first derivative of t**6\/180 - 10*t**3\/3 - 15. Let c(v) be the third derivative of f(v). What is s(c(w))?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(1\/22)\/k**(-8))\/(k**(2\/27)*k*k)**34 assuming k is positive.\nAnswer: k**(-37109\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1394?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = -22503 - -30486. List the prime factors of w.\nAnswer: 3, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 39499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -r + 12. Let v be f(4). What is the least common multiple of 2\/4 - 3\/(-6) and (-6)\/(-4) + 4\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 4 + 48 + 18*z**2 + 90 - 47 + 113 in the form j*z + y*z**2 + q and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is eleven eighths of a millennium in years?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:21 AM and 10:57 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*w = 3*w + k + 14, -12 = 3*k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -7087\/4158 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4130 is divided by 218.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = n**2 + 93*n + 854. Let z be m(-86). Solve 44*w - 16*w = -z for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - -36) + (9 - (-93 - -103)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:41 AM and 5:46 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (24 - (-18 - (-19 + 15))) + -13?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + 180 = t - 5*k, t = -2*k + 27. Let s(x) = -x**2 - 7*x - 1. Let i be s(-7). Let l be 68\/14 - i\/7. Solve 8 = -l*w + t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 + 2*k)*(2 - k - 2) + 2 - 2 + 7*k**2 + (3*k - 2*k + 0*k)*(2*k + k - 2*k) + k**2 + 3*k**2 - 6*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = 312 - 304. Calculate the highest common divisor of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 1 q when two letters picked without replacement from diqciiicidcdc.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-8 + 8)*2\/4. Let g = 1 - q. Let j(n) = -n - 5. Let v be j(-7). Solve -h - g - v = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -8452382 at most -8452402?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x be 9 - 17 - 2358\/(-288). Let u(f) be the first derivative of -3\/2*f - f**3 + 14 - 15\/8*f**2 - x*f**4. Solve u(d) = 0 for d.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -37e5 + -9?\nAnswer: -37ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -24, -26, 1, -5 in ascending order.\nAnswer: -26, -24, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 188084513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1873027*s - 26130.\nAnswer: -1873027","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d be (35\/84)\/((-55)\/(-22)). Which is smaller: d or -158?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8 - 6*g**2 - 6*g**2 + 46*g**2 + 27*g**2 + 8*g**2.\nAnswer: 69*g**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*s - 8772*u = -8776*u - 4, 42*u + 42 = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + -4 + 16 + 0 + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.064835 + -0.065. Round z to five decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0993 times -0.5?\nAnswer: 0.04965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 127 and 690456709?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 145*n + 32*n - 27*n)*(-1 + 2*n + 1).\nAnswer: 300*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 317 minutes before 12:23 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 120*t**2 + 10*t. Determine k(1).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) be the second derivative of 149*p - 7\/3*p**3 - 1\/36*p**4 - 147\/2*p**2 + 0. Determine c so that j(c) = 0.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = o**3 - o**2. Let u(s) = 36*s**3 + 3*s**2 + 8*s - 1. Calculate 2*p(i) + u(i).\nAnswer: 38*i**3 + i**2 + 8*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.6 + 6.4. Let c = 2 - j. Let a be 40\/(-416) - 3\/(-12). What is the closest to -2\/11 in c, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1378 or 1379?\nAnswer: 1379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u - 5*b - 2 = 0, 8 = -2*u - 3*b + 6. Suppose 3*j = 2*s - 284 + 2230, -5*j = u*s - 3254. What are the prime factors of j?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qk when two letters picked without replacement from {k: 1, p: 1, v: 9, q: 3}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 322527820?\nAnswer: 2, 5, 16126391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + -5 + sqrt(175) + sqrt(175) + 2 - -2*(1 + sqrt(175) + -4))**2.\nAnswer: -440*sqrt(7) + 2921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*s + 3*s - 1845. Suppose 78 = 3*g - s. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -399 + 406. Differentiate -w - 17*z - 2 - 127 - 26*z with respect to z.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) be the third derivative of -5*g**4\/24 - 13*g**3\/6 + 18*g**2. What is the remainder when 66 is divided by y(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*d = 10*d - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -l**2 + 1. Let k(i) = 4*i**3 - i**2 - i + 14. Determine -k(z) + m(z).\nAnswer: -4*z**3 + z - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 89*p - 1. Let c(x) = -3*x. Calculate l(c(t)).\nAnswer: -267*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 153725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-312)\/(-1456) - (-698)\/(-2996). Which is bigger: 1.7 or c?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 6 - 2. Let q = 246 - 257. Let x(p) = p**2 + 9*p - 8. Let m be x(-10). Sort -4, t, m, q in increasing order.\nAnswer: q, -4, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 99 a factor of 30472002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -35 divided by 2408651?\nAnswer: -5\/344093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 34274.8 and -3.23?\nAnswer: 34278.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -131\/2820 and -24\/5.\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-48)\/((-13)\/(13\/2)) - (-4 - 0). Calculate the greatest common divisor of l and 21602.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/(w*w*w**(-7)*w)*w**(-3\/5)\/w)**(-42)*((w\/((w\/w**(1\/2))\/w)*w)\/w**(4\/9))\/(w**1*w\/(w*w**(1\/11))) assuming w is positive.\nAnswer: w**(-140237\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m + 13 = -3*l, -31*l + 33*l - 2*m = 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l**5\/5 + 148*l**4\/5 + 431*l**3\/5 - 116*l**2 = 0. What is l?\nAnswer: -145, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15003662?\nAnswer: 2, 151, 49681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -i - 5 = r, 298*r - 284*r + 3*i = -59 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -243*u**3 - 2*u**2 - 4*u - 15. Let f be l(-3). What is the hundreds digit of f\/32 - 3\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1845 - 1840. Sort -32, p, 10, 2.\nAnswer: -32, 2, p, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 9*y - 10. Let a(f) = 2*f + 27. Let p(i) = 6*i + 72. Let l(w) = 8*a(w) - 3*p(w). Give j(l(h)).\nAnswer: -18*h - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 357618365 divided by -71523673\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/(-65) + (-70320552)\/(-6858540).\nAnswer: 92\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -101*z + 98*z = 4*o - 1924286, -z + 5*o = -641435. What is z rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1*(6 + 29\/(-5)). What is the nearest to 6 in 0, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16662524 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*a**3*g**2 + a**3 + 9632*a**2*g - 3*a**2 + 13333*a*g**4 - 4*a wrt g?\nAnswer: 4*a**3 + 159996*a*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -r**3 - 10*r**2 - r - 1. Calculate s(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -322032 (base 10) to base 6.\nAnswer: -10522520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 13 - 17 = -z, -5*i + 53 = 12*z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(832) + (-1 + sqrt(832) + sqrt(832) + -5)**2 + (sqrt(832)*-3)**2 + 1.\nAnswer: -184*sqrt(13) + 10853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 332483590?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 85 is divided by 65?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert -130131 (base 6) to base 15.\nAnswer: -3714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -71 + 1. What is the units digit of 8\/10 - -2*(-11557)\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-4)\/(-6) + (-1)\/6. What is the third biggest value in -1, j, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 34 plus -17.97?\nAnswer: 16.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/(-3)*-5*(-159)\/(-159)*(-9)\/12.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*t = 267 + 607 - 178 for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -4 - 6056?\nAnswer: -6062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from sdakdsadssas. Give prob of sequence dkd.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1735 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert d (base 15) to base 10.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2, -3, 3, 4, 16, -0.2?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -60818 - 5?\nAnswer: -60820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 1666, 6571, 14710, 26083, 40690, 58531?\n\"Answer: 1617*t**2 + 54*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) be the first derivative of 73*b**5\/20 - 285*b**2\/2 - 157*b - 201. Let t(n) be the first derivative of s(n). What is the first derivative of t(u) wrt u?\nAnswer: 219*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1713, 1711, 1707, 1701, 1693, 1683, 1671?\nAnswer: 1657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = f + 8. Let i be (3\/(-2))\/(15\/30) + 1. Give n(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 74996143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -15\/28247 and -79\/1202?\nAnswer: 56494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1053948719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3 + p)*(2 - 10 - 7 - p**4).\nAnswer: -p**5 - 15*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) be the first derivative of 99*s - 22 - 2\/3*s**3 + 1\/2*s**2 + 1\/4*s**4. What is the units digit of f(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n\/(n**(-2\/5)*n*n)*n)**(2\/13)*((n*n**(4\/19))\/n)**(1\/3) assuming n is positive.\nAnswer: n**(1058\/3705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y + 89 = 695. Which is smaller: 203 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -v**3 - v**2 + 12*v + 1. Let g(f) = 5*f**3 - 343*f**2 + 6045*f - 6. Let p(t) = -g(t) - 6*x(t). Find the second derivative of p(d) wrt d.\nAnswer: 6*d + 698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -0.032571616739961 and 4.\nAnswer: 3.967428383260039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -m**2 + 65*m - 61. Let a(t) = -49*t + 396. Let b be a(7). Let g be y(b). Calculate the highest common divisor of 23 and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9*1\/(-2)*((-2000)\/12)\/50.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 20985747 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -d**2*h**2*i - 2*d**2*h*i**3 - 4131*d**2*p - 52*d*h**2*i*p - 7*d*i**2*p - 3*d*p - i**3*p wrt d.\nAnswer: -2*h**2*i - 4*h*i**3 - 8262*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = b + 15. Let p(g) = -2*g + 6. Let a(i) = -1. Let t(c) = 10*a(c) + p(c). What is t(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.080164291 rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 0 (b) -1 (c) -2 (d) 829\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m be 10\/15 + 28\/12. Solve 0 = -3*a + m*u + 3, -5*u + 6 = -a - 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = 32*g - 52. Let j be i(2). Suppose -2649 - 3723 = -j*t. What are the prime factors of t?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 9*a**3 - 284 + 3*a - 306 - 2*a**2 - a**4 + 2*a**4 + 591 + 2*a**4 in the form k*a**2 + t + q*a**3 + h*a + z*a**4 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 172 divide 256421551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*w + 411 = 62 + 9. Which is the third biggest value? (a) 0.5 (b) w (c) 5 (d) -5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*c + 129 - 405 = 0 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aaz when three letters picked without replacement from {a: 13, z: 3}?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*v + 7172 - 29594 = -69*v - 178*v for v.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Do -16823694 and -16823694 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + 5 + -2 + (-1 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = v - 5. Let h be y(7). Let r(f) = -80*f + 235. Let g be r(3). Sort -0.4, h, g in descending order.\nAnswer: h, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 11 - 47)*(-5 + 12*i - 8*i + 2)*(-3 + 3 + 2).\nAnswer: -464*i + 348","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/2? (a) 31.94 (b) 3 (c) -6 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Let h(d) be the third derivative of -d**6\/720 - d**5\/120 - d**4\/48 - d**3\/36 + 22*d**2. Factor h(j).\nAnswer: -(j + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20298970.\nAnswer: 2, 5, 61, 107, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*v - 29*v**2 - 2*v**4 - 40 + 29*v**2 to k + l*v**3 + s*v + i*v**4 + j*v**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -37*u - 638. Let w(i) = 9*i + 1. Give -k(y) - 4*w(y).\nAnswer: y + 634","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 884483480?\nAnswer: 2, 5, 17, 1300711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -11 - -19790071?\nAnswer: 19790060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0 + 1. Let m = s - -1. Suppose 39\/2*b**3 + 21\/2*b + 3\/2 + 6*b**4 + 45\/2*b**m = 0. What is b?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1158475 + 1158469 + 2*b**2 - 2316959.\nAnswer: 2*b**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of f*i*k**2*m**2 + 22*f*i*k**2 + 2*f*i*k*m**2 - 20*f*i + i*k*m**2 + 7*i*k - 5*k**2*m wrt k?\nAnswer: 2*f*i*m**2 + 44*f*i - 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 8 and 52997066?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = u**2 + 2*u + 3. Let t be b(-2). Suppose -8*s + t*s + 10 = 0. Solve 0 = -5*g - 17 + s for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) be the second derivative of -h**3\/6 + h. Let f(q) = -208*q + 12 + 219*q - 6 - 6. Determine f(m) + 4*i(m).\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 62955?\nAnswer: 3, 5, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1.296? (a) 10\/27 (b) -3\/2 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 - 4*s)*(-5*s + 5*s - 3*s).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3901200 - 11072107 = -151*t + 7613424. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-12)\/(-56)*4*1*777\/(-185).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w = 5*d - 0 + 1, -3*w = -d - 41. Calculate the remainder when 35 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -27 - -16a1?\nAnswer: 1679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -63, -69, -77, -87, -99, -113, -129?\n\"Answer: -j**2 - 3*j - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zoozozoqqjozoo. Give prob of picking 1 j and 1 z.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4 + 3 - (4 + 4)) + (-1 - 101) + -13?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*i - h + 2467 = 2465, 3*i - 6 = 3*h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 8699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 843*r - 840*r - 4*b = -26, 2*r + 18 = 3*b for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000909122 rounded to seven dps?\nAnswer: 0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) be the second derivative of n**4\/2 - 5*n**2\/2 + 13*n. Differentiate w(q) wrt q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 47718 and 8283.\nAnswer: 11977218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = 35 + -70. Calculate the remainder when 83 is divided by (q\/(-7) - 60)*2\/(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*s - 5*i + 12, 5*i - 8 = s + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 17379125573.9999179 - 17379126754. Let p = 1180 + x. What is p rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 78 (base 16) in base 3?\nAnswer: 11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sum -35970779 and -536.\nAnswer: -35971315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 - 4 + 3)*(-25 - 2*w + 25) + 96*w + 64*w - 19*w to the form x*w + a and give x.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -q**3 + 2*q**2 + 7*q + 8. Let y be g(4). Solve 5*i - 2*r = -21, -y*r + 6*r = 2*i + 6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(sqrt(612) + 2 + -1 + sqrt(612) + 5 - (5 + sqrt(612) + (sqrt(612) - ((sqrt(612) - (-1 + sqrt(612))) + sqrt(612))) + 1)))**2.\nAnswer: 12*sqrt(17) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ozoupopzfpzupoupzuzz. What is prob of picking 1 u, 1 o, and 1 f?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d = 6 + -4. Suppose -d = x - 3*x. Suppose -4*o - x = 3. Are -1 and o equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -n**2 - n - 3. Let f be s(-3). Let l = 5 - f. Suppose l = 2*d - z - 9, -3*d + 21 = 3*z. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:30 PM and 1:08 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = 33 - 30. Let n(o) be the second derivative of 2*o**2 - 8*o + 0 + 1\/3*o**3. What is n(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find h, given that -15\/8*h**3 + 0 + 3\/2*h**4 + 3\/8*h**2 + 0*h = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) be the first derivative of -7*p**2\/2 + 29*p + 1. What are the prime factors of x(-6)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3? (a) 0.3 (b) -1 (c) -2\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 31*o**2 - 2450*o + 95. Determine q(79).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -x + 1. Let g(a) = 0*a**2 + 3*a**2 - a**2 - 3*a**2. Let z(o) = -g(o) + 3*t(o). Let k be z(2). What is the highest common factor of k and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -927.1 + 853. Let w = k - -74. What is the nearest to 10 in 0.2, w, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 19602 and 104148?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -10*l - 78. Let o be d(-8). Suppose o*c - 5626 = 5196. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.4*-31.\nAnswer: -12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 591, 0.08, -3\/17, -5?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = -45 - -105. Let a be 36\/g - (-307)\/(-495). Are -1 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 2*k - 2. Let m be n(8). Suppose a - 4*i = -m, a - 6 + 0 = -i. What is the first derivative of -5*t**2 - a + 5*t**2 + 2*t**4 wrt t?\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 3 and 3183?\nAnswer: 3183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 242000 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5161 is divided by 1662?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence knvo when four letters picked without replacement from {o: 2, v: 1, p: 7, n: 5, u: 3, k: 2}.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h be (10\/8)\/(1\/4). Suppose 2*x + 264 = 4*l, -h*l - 5*x = -199 - 101. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-8)\/(-5 - -1)*1. Suppose -3*h - 18 = 2*k - 83, 3*k = -j*h + 90. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 19*f**4*m**3 + 3462750*f**3*m**3 + 776174774*f**2*m**3 wrt f.\nAnswer: 456*f*m**3 + 20776500*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 1 e when two letters picked without replacement from eeeeeceeeeeceeeeee.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*p = 24 - 264. Let o be (-15)\/p*4 + (-55266)\/(-4). Suppose -5*m = -14*m + o. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -134, 13, -5, 337, -3 in increasing order.\nAnswer: -134, -5, -3, 0, 13, 337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 r when two letters picked without replacement from vvvvvvvrvvvvrvvvvvvr?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is one twentieth of a millimeter in micrometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -33351*h - 33345*h - 33354*h + 100043*h.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 16 = -4*o, 9*d - 3*o - 1 = 7*d. Let w be (-20)\/(-208) - d\/26. Suppose b + 3 = 4*k, 3*b = -3*k - 2*b + 8. Which is smaller: w or k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 2 = -0. Let p be 4 + m\/(4\/8). Solve 5*o + 21 = p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 505*d**3*j**6 - d**3*j**3 - d**3*j - 127*d**2*j**2 - d*j wrt j?\nAnswer: 60600*d**3*j**3 - 6*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -7*a*z**4 - 100*a*z**3 + 24865*a*z - z**4 wrt z.\nAnswer: -84*a*z**2 - 600*a*z - 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 17627000 rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*q**2 + q**2 - q**2)*(-3 - 2*q + 3).\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 54102, 54257, 54516, 54879, 55346?\n\"Answer: 52*c**2 - c + 54051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify t\/(t\/(t**16*t))*t*t**(-2\/47)*t assuming t is positive.\nAnswer: t**(891\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1 (b) 3 (c) 0.5 (d) 1\/5 (e) -358\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = g**2 + 12*g - 2. Let c(j) = -4*j**2 - 118*j - 144. Let r(o) = -2*c(o) - 12*k(o). What is z in r(z) = 0?\nAnswer: -3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = 16571496*r. Let t(f) = f**2. Determine t(d(q)).\nAnswer: 274614479678016*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 91386 or 91389?\nAnswer: 91386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 3230*f - 3237*f = -y - 130, -5*f = -4*y - 83 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/6*(440\/(-15))\/11.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply -4 and 12966.\nAnswer: -51864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1\/((-3)\/(-15))*(-3)\/(-5). Let c = w - -20. What is the remainder when 64 is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 102434 by -1.\nAnswer: -102434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4973583.\nAnswer: 3, 1657861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + ((sqrt(17) - (1*sqrt(136) - sqrt(136) - sqrt(136))\/sqrt(8)) + sqrt(17) - sqrt(17))**2 + -1.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 54 - 437. Let r = q - -390. Calculate the lowest common multiple of r and ((-5)\/(-4))\/((-2)\/(-16)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = 36*p + 51. Does 93 divide i(27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(112) - ((sqrt(112) + sqrt(112) + 0 - sqrt(112))*1)**2) + (-5 + sqrt(112) + -2)**2)*3.\nAnswer: -156*sqrt(7) + 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 7806, 16207, 24608, 33009?\n\"Answer: 8401*a - 595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -o**2 - 5*o + 1. Let v be b(-4). Suppose l + f - 7 = 0, -v*l + 4 + 36 = 4*f. Solve 0 = 4*j - l, 5*h - 4 - 28 = -4*j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (0 + -1)*4 - -7. Is ((-10365)\/10)\/k*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1012788 and 1008.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand ((3 - 3 + 2)*(2 + 1 + 1) + 0 + 3 - 1 - 2 + 4 - 1)*(-6 + 2 + 1)*(2 + 2*f - 2).\nAnswer: -66*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -r + 31 - 31 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -64.08 + 57. What is h rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -d*s*v**3 - 2*d*s*v + 3*d*v**4 - d*v**3 + 6*d*v**2 + 5*d - s + 18*v**4 wrt v?\nAnswer: -6*d*s + 72*d*v - 6*d + 432*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -11, -9, -5, -3, 5 in ascending order.\nAnswer: -11, -9, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -22*z + 20*z = -6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put together -1108 and -1603.\nAnswer: -2711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = 2066*z**2 - 2067*z**2 + 24*z - 8*z - 18. Give w(16).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*r**3 + 2*r**3 - r**3 + (19*r**2 - 36*r**2 - 75*r**2)*(4 - 2*r - 4).\nAnswer: 181*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 5 = -2*z - 3*u, 5*z + 11*u = 7*u - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 45289 - 770560\/17. Let a = -4413\/170 - s. What is the common denominator of a and -3\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that 14*j**5\/5 - 914*j**4\/5 + 2038*j**3\/5 - 278*j**2 + 252*j\/5 = 0.\nAnswer: 0, 2\/7, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = -4*k + 30. Suppose 0 = -k*t - 3 + 33. What is the remainder when 10 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -10*o - 6. Let f(j) be the second derivative of -3*j**3 + 0 + 28*j - 11\/2*j**2. Let c(n) = 6*f(n) - 11*y(n). Let w(d) = -3*d. Calculate w(c(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42 = 2*g + 2*o, 0*g - 11 = -g + 4*o. Let h(a) = 4*a - 58. Let y = 95 - 65. What is the smallest common multiple of y and h(g)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 8 + -7.3. Suppose 0 = -4*c - 18*c + 7326. Let f = 333 - c. Which is smaller: f or l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qq when two letters picked without replacement from vjzvqfzfd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:22 AM and 1:09 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 4*y + 15*y - 9 - 20*y. Give l(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*f - 9803 = -9725. Let z be (4 + -2)*-1*1. Let q(c) = -9*c. Let i(m) = 8*m. Give f*i(x) + z*q(x).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -i**2 + 8*i - 9*i**2 - i**3 + 2*i + 2*i**3 + 6. Let q be z(9). Solve 3*v = -2*v + q for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) be the second derivative of -6 + 2\/11*m**3 - 2*m - 4\/11*m**2 + 1\/220*m**5 - 1\/22*m**4. Let g(s) = 0. Calculate s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:26 AM and 4:54 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (50*s - 97*s + 51*s)*(-s**2 + 3*s**2 + 0*s**2)*(2 - 3 + 2).\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2 - 4. Let l = 15.6 + -16. What is the closest to -1 in g, l, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -27056*t**2 + 13522*t**2 + 13526*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 1025*u - 180 = 3066*u - 1026*u - 1024*u for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = 44*y - 1272. Let q be n(29). Solve 5*g + i = -23, q*g + 20 = i + 7 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (8\/(-6) + 1)*(-24945)\/15. Let i = -561 + p. What is the common denominator of i and 79\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 4ae368 - 4?\nAnswer: 4ae364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*t + 74746 = -11*t + 24*t. Calculate the highest common factor of t and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1 + -1)*1 - 113. Which is greater: y or -574\/5?\nAnswer: -574\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 4 and 1879154.\nAnswer: 1879158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.7 + -0.3. Let z = -519 + 2077\/4. Which is the third biggest value? (a) u (b) z (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 12 and 668?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4301 and 1265?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -16 = 3*p - w, -7*p + w + 19 = -11*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -146363, -292787, -439211, -585635?\n\"Answer: -146424*n + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -w**2 + 6*w + 1. Let l = 104 - 102. Calculate the remainder when l is divided by h(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1 + 4. Let o(u) = -3*u + 3. Let t(b) = -13*b + 13. Let k(m) = 9*m - 9. Let d(r) = 7*k(r) + 5*t(r). Calculate w*o(y) - 4*d(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 141 = 3*l - 3*v, -3*l - 11 = 3*v - 140. Suppose 3*z = 5*x + l, -3*x - 4*z = -2*x + 32. Which is bigger: -1\/4 or x?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*k**3 - 11*k + 11*k + 8*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -8702, -34785, -78250, -139097?\nAnswer: -217326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -5 * 53.\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 737*i - 607. Give c(2).\nAnswer: 867","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -67 - -70. Solve -3*f + 0*r = 5*r + 23, 9 = c*f - 3*r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 3*h**2 - 3*h - 4. Let g be t(3). Let w = 8 - g. Let r = w - -3. Put 3, -2, r in decreasing order.\nAnswer: 3, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 2, r: 5, l: 2, w: 3}. Give prob of sequence rwrw.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -10078, -6, 57.\nAnswer: -10078, -6, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -z**3 - 6*z**3 + 2*z**4 + 2*z + 3*z**3 + 0*z**4 to the form c*z**4 + j*z**3 + d + s*z**2 + b*z and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 568620 is divided by 83.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2b4 + 60?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -16 in -0.33, -3\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 35\/40*(-9)\/(-21)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -27115 to the nearest 1000.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -m - 3. Let v be z(-12). Let q be (564\/v)\/(18\/27). Let g = -86 + q. What is the greatest common factor of 88 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(91) + -2*(sqrt(91) - sqrt(91)*1)))\/(6*(sqrt(14)\/sqrt(18) + sqrt(7) - sqrt(7))).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*g = -2*g + 4*g + 221 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gthtggaagggz. What is prob of sequence ag?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 189 and 1953.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 8 - 6. Solve 5*g + 26 = b*l, 2*l + 2*g + 3 = 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.8*11\nAnswer: -8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c be -1*(1 + -1 + -2 + 2). Is 61 a factor of 25\/10*(c + (-244)\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = u**2 + 23. Give o(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) be the second derivative of 23\/36*u**3 - 81*u + 0 - 13\/4*u**2 + 1\/36*u**4. Let x(o) = 0. What is o?\nAnswer: -13, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c, 1 u, and 1 v when three letters picked without replacement from {c: 3, v: 1, u: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -2*k**3 - 11*k**2 + 25*k - 410. Let v be c(-12). Let b = 33 - 19. What is the highest common factor of b and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - 17 = 1. Is 34 a factor of -204*((-2)\/(-4))\/(i\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -85\/2 and 374 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 35 + 2*b + 28 - 5.\nAnswer: 2*b + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-2)\/4*23)\/((-7)\/14). Let d = 25 - z. Solve d*t + w = 4, 5*t = 5*w - 13 - 7 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -15 (base 6) to base 2.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (11*l + 7*l - 5*l)*(1 + 4 - 4) - l - 6*l - 3*l as n + c*l and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 296296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 765 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 3 - 1)*(-2*m - 2*m + 6*m) - 4*m + m + m - 306*m + 1573*m - 41*m.\nAnswer: 1218*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -53*j - 13. Let y be x(-3). Suppose -y = -4*q - 22. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16493366117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*q**2 + 129*q - 132.\nAnswer: 3*(q - 1)*(q + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2855, 2897, 2961, 3041, 3131?\nAnswer: 3225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b and 2 o when three letters picked without replacement from {o: 7, s: 2, b: 1, w: 8}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -125\/414 and -28\/69?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 4, s: 2, u: 6, m: 1, j: 1, r: 4}. Give prob of picking 1 n and 1 j.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (15 - 9)*(-2)\/((-4)\/59)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 8\/(-12)*-3 + 3. Let h be (-1)\/(-2)*4\/(-18). What is the closest to 0 in h, -4, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 151*h - 7095 = 118*h. Calculate the remainder when h is divided by 48.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 173 minutes after 6:42 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 3*n + 18. Suppose -c = -6*c + 20, 0 = v + 2*c - 40. List the prime factors of b(v).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-15)\/(-10) - (-65)\/(-10). Is n bigger than -37\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9 (base 16) in base 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve s - 16 = -p - 19, -2*p + s + 18 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*z + 492 = 436 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1602*p - 600 = 1582*p. What is the smallest common multiple of p and 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -12054.537 - -3.\nAnswer: -12051.537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 149559*k - 74772*k - 74787*k - 15*k**3.\nAnswer: -15*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 18, 58, 98, 138, 178, 218?\n\"Answer: 40*a - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k = h - 1, -2*h + 4*k + 5 = 3*h. Is (3*75 - 3) + h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y - 365 = -337 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 6 = 0, q + 2*q = 5*x - 246122. What is the thousands digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j\/j**(-6\/19))\/(j*j\/(j*j\/(((j*(j\/(j\/j**(1\/34)))\/j*j)\/j)\/j))*j*j))\/(j**17\/(j*j**18\/j)) assuming j is positive.\nAnswer: j**(831\/646)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 106153 divided by -5\nAnswer: -106153\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:18 AM and 3:38 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 1 u when two letters picked without replacement from kukqqs?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b = -0 + 32 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = c**3 + 12*c**2 - 13*c + 2. Let s be x(-13). Let l = 222 - 321. Let y be (-35)\/(-11) + 18\/l. What is the highest common divisor of s and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0.1 equal to -26\/6193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 341*t = 345*t - c - 13, -4*t = -5*c - 33 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*p**2 + 4*p**2 - 6*p**2)*(-1 + 0 + 5)*(-666*p - 3*p**2 + 1 + 666*p).\nAnswer: 96*p**4 - 32*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (3\/(-6)*9)\/((-330)\/40)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -247, -181, -97, 11, 149, 323, 539?\n\"Answer: a**3 + 3*a**2 + 50*a - 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -297747, -297994, -298241, -298488, -298735, -298982?\n\"Answer: -247*t - 297500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*t + t + 5*o + 102, 0 = t - 2*o - 93. Suppose 0 = 3*g - 8*g + 220. What is the remainder when t is divided by g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -5*k**3 - k**2 - 2*k - 1. Let b be z(-1). Suppose 12 = 2*f + o, -3*o = -b*f - o + 39. Calculate the smallest common multiple of f and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 190*k**2 - 29909*k**4 + 0*k + 0*k + 85*k**3 + 29904*k**4.\nAnswer: -5*k**2*(k - 19)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 380632 and 5?\nAnswer: 380627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 364 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 divided by 12836885.\nAnswer: 2\/12836885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/(b*(b*b**(2\/13))\/b))\/((b\/b**(-6\/7))\/b)*(b*b**(-9))\/(b*b**9) assuming b is positive.\nAnswer: b**(-1730\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) be the third derivative of b**5\/60 + b**4\/6 - 4*b**3\/3 + b**2. Let o be k(6). Suppose -o = 2*d - 6*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 11 - 7 - (-10 - 0). Let y = -8.551 - -8.351. What is the second biggest value in i, 5, y, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 484975 is divided by 3762?\nAnswer: 3439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 934485355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand ((t + 2 - 2)*(-4*t - t**2 + 4*t) - 6*t**3 + t**3 + 21*t**3)*(-4*t - 24 + 24).\nAnswer: -60*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 140 - 280 + 140 + b. Suppose -3*z = -5*f + 3 + 14, -4 = 4*f + 2*z. Calculate w(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/9, -2\/125, -2, 0.1495 in decreasing order.\nAnswer: 0.1495, 1\/9, -2\/125, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 61*h - 1416 + 408 = -11*h for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 5*q + 2. Let g be v(3). Let f = -11 + g. Calculate the smallest common multiple of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 0*x - 13 = -5*k, -3*x = 2*k - 19. Let s be 43*(x + 4\/2*-1). Do s and 42 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -y**2 - 19*y - 49. Let s be d(-18). Let k be -34 - s - ((-5)\/6 + -2). Which is the smallest value? (a) k (b) -2\/9 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 47456909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put together -37133806.63 and -66.\nAnswer: -37133872.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-2)\/(-1) - 0) + 1. Let f be r + 4\/(-2) + 1. Solve f = -s - 0*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 703 minutes after 4:41 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 222 - -1001.\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 8*m + 35. Give p(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-9)\/(-4) - (-3)\/(-12). Suppose s*w + 2*w = 32. Suppose w = 5*j - j. Solve j*u - 3*u - 3 = 0, 2*n = -u - 7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 2*n - 14. Let k be v(7). Suppose -o = -a - 6 - 2, k = 5*o + 3*a. Suppose -5*m - 166 = -o*b, 2*b - 5*m = 106 + 13. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 991667 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = 14 - 5. Suppose 0 = 3*l - 6 - 0. Let n = l - -4. Solve -w - 2*m - m + n = 0, 3*m = s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 73 divide 90004018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3c7b + 3?\nAnswer: -3c78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 162 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 40818 take away 526258380?\nAnswer: -526217562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5*16\/120*(-3)\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*m + 29*m**2 + 7*m + 4*m.\nAnswer: 29*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 35 - 35 + 58*z**2 in the form u + g*z**2 + f*z and give g.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n = -2*c - 0*c + 112, -131 = -4*n + c. Let j be 10\/(-25) + n\/10. Suppose -2*h = j*h - 85. Calculate the remainder when 33 is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.02 (b) -3 (c) -1\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1261\/1680 + 27\/35. Let r(o) be the third derivative of 1\/24*o**3 + 0 - 5*o**2 + 0*o - i*o**4 + 1\/240*o**5. Suppose r(s) = 0. Calculate s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -13, 3, 5, -94, 2, 4 in increasing order.\nAnswer: -94, -13, 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2, -3031, -2\/19?\nAnswer: -3031","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = d**3 - d**2 + d + 2. Let u(q) = -11*q**3 + 5*q**2 - 2*q - 13. Calculate 4*n(y) + u(y).\nAnswer: -7*y**3 + y**2 + 2*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 6*m**3 + m**2 + 4*m - 5. Let x be (3 - 39\/18)\/(13\/78). Let d(k) = k**3 + k - 1. Determine x*d(a) - f(a).\nAnswer: -a**3 - a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + 2*sqrt(288).\nAnswer: -5 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 1 + 2)*(0*m - m + 0*m) + 3*m - m - 3*m + 4 - 4 - 3*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*z - 21 = 22*z. Let t = 49 - z. Calculate the highest common factor of t and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 64023.\nAnswer: 3, 21341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand 5 - 5 - 3*m**5 + (2 - 2 - 2)*(m**2 - m**5 - m**2).\nAnswer: -m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.015852 - -22.030948. Let x = p + 0.0532. Let t = x - 22. Which is greater: t or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 minutes before 3:13 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 5\/2 at least -0.068?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.015969695 rounded to 3 decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 409, -2, -3 in decreasing order.\nAnswer: 409, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 8 = -3*w - 5, -3*w = 2*f - 11. Let p be 314490\/48 - (-2 + w). Let u = p + -6563. Calculate the common denominator of u and -113\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -26 - 77?\nAnswer: -9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2.5 + -1.2. Let r = j + -1. Let l = 959 + -951. What is the third biggest value in -0.5, r, 2, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nmxbx. Give prob of sequence bx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Total of -9 and -302116123192.\nAnswer: -302116123201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:51 AM and 1:02 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -436, -455, -476, -499, -524, -551?\nAnswer: -580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -61773 + 0?\nAnswer: -61773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) be the third derivative of -v**7\/10080 - v**6\/720 - v**5\/120 + v**4\/12 + 4*v**2. Let z(q) be the second derivative of b(q). Factor z(a).\nAnswer: -(a + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3\/10)\/((-177)\/472)*((-760)\/(-656))\/19.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-7)\/(-3))\/(105\/495).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - (-16 + 3)) + -161 + 22 + 27?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in two sevenths of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3968, -3980, -4000, -4028, -4064, -4108?\nAnswer: -4160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v = 10 + 5. Let y be 80\/42 + (-2)\/(-21). Solve 3*z - 2*h + v*h = 30, y*z = -5*h + 35 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w + 4*s = 127 + 291, 4*s + 209 = w. Calculate the smallest common multiple of 57 and w.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -6 + 9. Let i = 3153 - 3156. Put 5, i, -4, d in descending order.\nAnswer: 5, d, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -j. Let z(r) = -7*r - 2. Let w(l) = -7*l + 20. Let n be w(2). Give n*s(y) - z(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1 + 46?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r - 6 = -3*r. Let v(t) = -11*t + 5. Let m(p) be the second derivative of 2*p**3\/3 - p**2 - 12*p. Calculate r*v(a) + 8*m(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.4? (a) 0.3 (b) -2\/17 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 534853, 1069450, 1604071, 2138728, 2673433, 3208198, 3743035?\n\"Answer: 2*k**3 + 534583*k + 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h + 2*x - 12 - 12 = 0, -42 = -3*h - 5*x. Let i(n) = n**2 - 8*n - 11. Determine i(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = h**2 - 15*h + 56. Let w be i(6). Solve 0 - 1 = 3*m - 2*g, g = 4*m - w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 44 minutes before 6:28 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (12\/(-10))\/(1\/(15\/6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine r, given that 3*r**3\/2 + 182925*r**2\/2 - 29513067*r + 58660272 = 0.\nAnswer: -61296, 2, 319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 9, j: 1, o: 4}. Give prob of picking 2 v.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = -106 - -106. Suppose -13*g - 5 + 5 = p. Which is the nearest to -1\/4? (a) g (b) 2\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 824578 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = p**3 + 6*p**2 + 2*p + 1. Suppose 53 + 9 = 2*o. Calculate the remainder when o is divided by d(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (20\/24)\/((-30)\/(-24))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.05 - -0.02. Let q = -27.03 + 27. Let u = h - q. What is the closest to u in 0.1, -0.5, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 11.6 * 3154\nAnswer: 36586.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 44573 or 44580?\nAnswer: 44573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2379037 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = 106819112437 - 106819001665.9199952. Let i = -110771 + q. Let o = i + -0.08. What is o rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -4*a - 6. Let m be r(-2). Suppose 4*j = 2*j + 52. Let l be 3\/(-9) - j\/(-6). Solve m*c + 12 = l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 1, z: 1, e: 2, n: 1, h: 1, q: 1}. What is prob of sequence zf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:50 PM and 6:05 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is ((13\/(-52))\/(3\/12))\/((-950)\/69350)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11770244 = 24*d + 11771324 for d.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28 = 7*p - 3*p. Suppose 5 = 2*s - 3*h - p, -h - 5 = -s. Suppose -3*v = -3*c - 24, -28 = -v - 3*v + s*c. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 8.5 + -9. Let u = 23 - 159\/7. Which is the nearest to u? (a) -0.2 (b) m (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 160425 and 690.\nAnswer: 320850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -28733535 times -0.1?\nAnswer: 2873353.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find q such that 2*q**3\/3 + 160*q**2\/3 + 3200*q\/3 = 0.\nAnswer: -40, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 15808 and 15067.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 362369914 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = 36 + -16. Suppose 5*g - i = 0, -g = 3*y + 2*g - 27. Let u be (-729)\/54*(3 + -5). Solve -u = y*t - 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand g**2 - g**2 - g**3 + (0*g - g + 0*g)*(-2*g**2 - g + g) - 5*g**3 + 119*g**2 + 3*g**3 - 107*g**2.\nAnswer: -g**3 + 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*z + 6*z - 291 - 61 = 0 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = 6*h - 4. Let g be k(-2). Let y = -8 - g. Solve 3*o + o - 3*t = y, 5 = -o - t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 3*c = -21 - 18, 5*c = 3*j - 33. Let i = 2 - -3. Put i, -5, j in decreasing order.\nAnswer: j, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 79397 or 79396?\nAnswer: 79397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -1006*u + 44625 = -2791*u for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1356199, 1356163, 1356065, 1355875, 1355563, 1355099, 1354453, 1353595?\nAnswer: 1352495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13 - 1971\/(-765)*-5.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = v - 12. Let d be a(0). Let n be ((-51)\/d)\/((-1)\/4). Let s = n + 27. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*y = -2*y - 105. What is the remainder when y is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) be the second derivative of -5\/2*l**2 + 225*l**3 + 13*l + 0. Is t(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 2, x: 5, u: 1, a: 7, i: 4, d: 1}. What is prob of sequence xzza?\nAnswer: 7\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3 - 24*n + 120*n - 13 - 9 + 11*n to the form g + b*n and give b.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 111*v + 3*v + 114. Sort v, -2, -73, 5 in increasing order.\nAnswer: -73, -2, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 2, p: 9, s: 6}. What is prob of picking 2 p?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -39*q**3 - 4095*q**2 + 57*q + 5992. What is k(-105)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g be 28\/(-66) - (-144)\/132. Factor g*r**2 - 4\/3 + 2\/3*r.\nAnswer: 2*(r - 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.418 * -96427.\nAnswer: 40306.486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 356, 351, 344, 335, 324, 311, 296?\n\"Answer: -o**2 - 2*o + 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 16 + -21 - 5\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 242193*d*f + 3*f + 287139 wrt d.\nAnswer: 242193*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 325729.071 to the nearest 1000.\nAnswer: 326000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 702 a factor of 24171264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/(((r**(-7)\/r)\/r)\/r*r))\/((r*r\/(r\/(r*(r\/(r**(-6\/7)\/r)*r)\/r)))\/r))\/(r\/((r*r**(2\/3))\/r)*r*r**(-1\/3)) assuming r is positive.\nAnswer: r**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -2.427682 * -0.01\nAnswer: 0.02427682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -0.436356 times 0.4\nAnswer: -0.1745424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -s**5\/3 - 24*s**4 - 671*s**3\/3.\nAnswer: -s**3*(s + 11)*(s + 61)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4 - -6. Let p(m) = 0*m**3 - 5*m**3 - 4 + 3*m**3 - 9*m**v. Let c(k) = k**3 + 4*k**2 + 2. Give 5*c(s) + 2*p(s).\nAnswer: s**3 + 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 43\/139568 and -45\/143?\nAnswer: 139568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l = 5 - -5. Let i be (l\/(-4))\/(2\/(-4)). Suppose 0 = 5*u + o - 185, -4*u - i*o = -7*u + 111. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = c**2 + c - 2. Let b(s) be the third derivative of s**3\/3 + 21*s**2. Calculate 2*b(g) + 2*t(g).\nAnswer: 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 0 - 4 = 0. Let v(x) = -x**3 + 22*x**2 + 196*x + 203. Let n be v(29). Factor n*k - 3*k**2 + 0 + 3\/2*k**3 + 3\/2*k**w.\nAnswer: 3*k**2*(k - 1)*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -7*a - 3. What are the prime factors of z(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2\/53 + -33\/530. What is the nearest to 2 in c, -2\/13, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -v**2 - 8*v + 270. What is w(-21)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -15 + -11 + (29 - 4) + -31?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 170 - 148. Let a(i) = -i**2 - i + 175. What is the remainder when a(0) is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 330 rounded to the nearest ten?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 60 = -2*h. Let a = 10 - -5. Let t = h + a. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -4. Let h(q) = 154*q - 89. Let d(f) = 231*f - 131. Let k(v) = -5*d(v) + 8*h(v). Let p(r) = -2*k(r) - 22*w(r). What is the derivative of p(s) wrt s?\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 43\/1570 and 19\/1570.\nAnswer: 1570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 4*g + 28. Which is bigger: -3 or g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7 - 9)*(-30)\/(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 14988 + -8592. Does 63 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3.06927 + -0.06927. What is the fourth biggest value in -6, 0.5, 145, s?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -233 + -116 + -24 + 257\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 3039*r - 2 = 4*f + 3037*r, 13 = 4*f + r for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 6 and 522?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p = 540 + -113. Let w = -397 + p. Solve -4*i - w = -2*a, -2 + 17 = 3*a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (3\/(-495)*-11)\/(2\/(-6))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = 535*k**2 + 6958*k + 17. Determine s(-13).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 6957003 and 294603?\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 2*u**3 - 9*u**2 - 14*u - 17. Let t(k) = k**3 - 4*k**2 - 7*k - 8. Let w = -124 - -127. Let h(o) = w*b(o) - 5*t(o). Give h(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 + 1 + (-949 + 956 - (-1 - -24))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r - 15*x - 20 = -22*x, -9 + 5 = -x - 0 + 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z = -11034 - -11033.9. Which is the nearest to 2? (a) z (b) -13 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.9 times -4649.3\nAnswer: -4184.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.016 - -11.616. Let h = c - -0.4. Let i = 12.5 - h. What is the third smallest value in -0.4, 3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2 - 1. Suppose y = j, -5*c - 3*j - j = -34. Suppose k - c = -2*s, -8 - 7 = -5*s - 5*k. Solve -s*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 69\/1583072 and 45\/804512.\nAnswer: 49075232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-20)\/12)\/(65\/234).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -702.9994954 - -703. What is u rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 24 divide (-6)\/5*((-799)\/2 + 7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine b so that -b**5\/3 - b**4\/3 + 617*b**3\/3 + 1895*b**2 - 2100*b = 0.\nAnswer: -15, 0, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0 + 20. Let k be (12\/10)\/(6\/f). Let n be 4\/(-14) + k\/14. Sort -4, n, 3 in ascending order.\nAnswer: -4, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 3608 by -3608.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 7551 = -4*i, 0*m - 5*i = -m - 7551. Let q(f) = -435*f + 94. Let k be q(7). Let h = k - m. What is h rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*v = -11*v + 108. Suppose -4202 = 5*c - 4257. Calculate the remainder when v is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1297 + -1297.00001108. What is r rounded to seven decimal places?\nAnswer: -0.0000111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2 + -1. Let l(t) = -t + 1. Calculate the remainder when l(-1) is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) be the first derivative of 0*y**3 + 0*y**2 + 2 + 4*y + 3\/4*y**4. Differentiate v(w) with respect to w.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2295756 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 607933*t - 304032*t - 303992*t.\nAnswer: -91*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (36\/21)\/((-1)\/(-28)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 15573 and 174?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 696670 is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = a**2 + 6*a. Let d be w(-4). Let f be -2 - -30 - (-2)\/d*0. Let t = f + -28. Solve t = -4*b + 3*b - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 648417 to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = q - i - 0, -3*q + 9 = 3*i. Let s(x) = 3*x + 4 + 0*x + 0*x. Let b(h) = 7*h + 9. Let l(u) = 4*b(u) - 9*s(u). Determine l(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 2734676780 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 2*3 + (-312)\/54\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*h - h - 69 + 69.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 78880\/(-1088)*2\/5*1.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Product of 15.2 and -134957.\nAnswer: -2051346.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 7, 11, 17, 25, 35?\n\"Answer: k**2 + k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 42 divide 3571764249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out 4157.7 + -5.\nAnswer: 4152.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3600 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + 2 + 1 - (1 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify j\/j**18*j*j*j**(-3\/16)\/j*j**(-1\/43)\/j**(1\/5) assuming j is positive.\nAnswer: j**(-56453\/3440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (105 - 79) + (-3 - 2) + -1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 319.3804 years to decades.\nAnswer: 31.93804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/10 of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 230*q**2 - 995*q**3 - 30*q**2 + 69*q**2 + 426*q**2 + 209*q**2 wrt q.\nAnswer: -5970","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h = -3*h + 10. Suppose 2*z = 8 + h. Solve 4*n = 3*n - z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -2*q**2 + 1357*q - 10720. Calculate i(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is seven quarters of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 465 divided by 73904?\nAnswer: 15\/2384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7637611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*p, 0 = -2*d + 2*p + p + 32. Solve -3*i - i = d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -58895962 divided by 2?\nAnswer: -29447981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 4603888777137 + -1\nAnswer: 4603888777136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 121*d**2 + 92*d**2 + 75*d**2 - 298*d**2.\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4\/8*0\/1. Suppose -4*c = 5*g + c - 35, c = 4. Suppose 2*l = 2*z + 3 + 11, 2*l - 16 = g*z. Sort m, -4, z in decreasing order.\nAnswer: m, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -60228*x - r + 23 = -60226*x, -4*x + 6*r = -9*x + 103 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1820 and 6?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 95\/46 and -3\/8.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 75.796 or -0.0239?\nAnswer: -0.0239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 16, -8119, -2.98?\nAnswer: -2.98","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -158696*o. Let v(g) = 19*g - 1. Determine v(y(t)).\nAnswer: -3015224*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -c**3 + 5*c**2 + 2*c - 4. Let l be y(5). What is the third derivative of -2*j - 125*j**2 + l*j**3 + 123*j**2 - 7*j wrt j?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -31 - p - 6*p + 3*p**2 + 24 + p**2. Let v be s(6). Let o = v - -62. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -n**3 - 14*n**2 - 16*n - 21. Calculate r(-13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -2930370808 + 0\nAnswer: -2930370808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i be -113*(-1 - 1) - (101 - 106). Factor 30 - i*x**2 - 28*x + 115*x**2 + 114*x**2.\nAnswer: -2*(x - 1)*(x + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000038633 rounded to 7 decimal places?\nAnswer: 0.0000386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -7*b**2 + 89*b + 8. Give g(13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 8\/33? (a) 0.3 (b) -2.4 (c) 4 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.3, -22, 3, -3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -166 (base 7) in base 13?\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 1, p: 1, r: 4, b: 4, j: 3}. What is prob of sequence prrb?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve p - 13*t = 40, -4*t - 10 = -20237*p + 20239*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 148761178 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) be the third derivative of w**6\/120 - w**5\/12 - w**4\/6 - 4*w**3\/3 - 458*w**2. Let g = 16 + -10. Determine q(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -5 + 30. What is the least common multiple of i and 23560\/88350 + -2*(-821)\/30?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7008 a factor of 1304672352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16431 is divided by 213.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -241, -3665, -39.\nAnswer: -3665, -241, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -791 or -1289?\nAnswer: -1289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = 53.1 - -0.9. Let j = -54.3 + k. What is the third biggest value in 0.3, j, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-54)\/45*(-10)\/3. Let l = x + 15. Calculate the remainder when l is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50 = -0*z - 2*z. Let g be (-6)\/10 - (-1310)\/z. Let t = g + 202. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-2\/5)*s)**(2\/47) assuming s is positive.\nAnswer: s**(6\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -0.067 times -0.05?\nAnswer: 0.00335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -234*f**3 + 3*f**2 + 30*f - 16. Let l(q) = 78*q**3 - q**2 - 11*q + 6. Determine -3*c(r) - 8*l(r).\nAnswer: 78*r**3 - r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(77) + -5*(sqrt(77) - 2*sqrt(77)) + sqrt(77))\/(2*sqrt(539)) - (3*(1 + sqrt(7) + 0 - -2*sqrt(175)))**2.\nAnswer: -7632 - 395*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 19.1 - 19.6. Let v = -0.5 + -5.5. Let k = -7 - v. What is the third biggest value in 0.1, k, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -384*w - 1936\/5 - 468\/5*w**2 + 4\/5*w**3.\nAnswer: 4*(w - 121)*(w + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -14 + 16. Suppose p*f + 2*c - 358 = 0, f - 3*c - 188 = -c. Suppose -i = -3*i - f. What is i rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 30*z**2 + 3*z + 3. Let i(l) = -7*l**3 + 5*l**2 + 2*l - 1. Let b be i(1). Let g(v) = -v - 1. Determine b*q(x) - 3*g(x).\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(2\/13)*d**(-7\/4))**(9\/7) assuming d is positive.\nAnswer: d**(-747\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 55\/582 and -62\/219?\nAnswer: 42486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 2133, 7485, 15979, 27615, 42393?\n\"Answer: 1571*q**2 + 639*q - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*q = 11 + 37. Suppose -q*l + 352 = -7*l. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 29 - 3*j**2 + j**2 + 3*j**2 - 2*j**2 + 2*j as y*j**2 + m*j + c and give c.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 - -50)*(-2)\/(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-145)\/(-7) - 2\/(-7). Suppose n - 4 = y + y, -5*y = 3*n + k. Let g(v) = v + 6. Is 2 a factor of g(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 261*w + 784*w - 260*w as x + b*w and give b.\nAnswer: 785","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(102)*-3)\/sqrt(6) + -1 - (-5 + (sqrt(17)*-1)**2*3).\nAnswer: -47 - 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (220\/(-105) + (-12)\/(-28))*(-2)\/(-10).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8\/(-20)*-20*6\/48*(-175)\/(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 2*m - 5 = -3*m, 3*o - 5*m = -13. Suppose -3 = 3*t, -o*t = -2*q + 3 - 1. Let d be 6\/(q + 0) + 2. Sort -3, d, 3 in descending order.\nAnswer: 3, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 8828 - 8828.03. Which is the fourth smallest value? (a) g (b) 1\/2 (c) 40 (d) 1 (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 21*c + 45. Let p be x(-1). Solve -20*j = -p*j - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2\/51 + 455\/102. Which is the nearest to 0.1? (a) -0.2 (b) -2\/7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 - -1 - (-24 - (10 - (-21 - (1 + -22)))).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 23.4? (a) 4 (b) -3.2 (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -10123496, -10123499, -10123502, -10123505?\nAnswer: -10123508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p + 0*p - 5*j = 0, -3*j - 5 - 9 = -p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m = -26 + 14. Let b = m - -33. Let t(u) = -u**3 + 11*u**2 + 14*u - 3. What is the smallest common multiple of t(12) and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 1, v: 1, x: 1, g: 2, t: 1, k: 1}. Give prob of picking 1 x and 1 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**14)**(-36) assuming m is positive.\nAnswer: m**(-504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/(-1) - 7 - (2 + (-28 - -57))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m = 4*x - 11, 4*m + 4 + 3 = -x. Let c(p) = 5*p**2 - 2*p - 1. Let u(j) = -6*j**2 + 2*j + 1. Let b(y) = -5*c(y) - 4*u(y). What is b(x)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 837?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 7510*f**2 - 1900*f**3 + 7334*f**2 - 15317*f**2 wrt f.\nAnswer: -11400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 45*u**2 - 41*u**2 + 60*u**2 + 0*u**2 + 6*u**2 - 3*u**2 + (6*u - 3*u - u)*(u - 3*u + u) + 3*u - 3*u + u**2 + 2 + u**2 - 2 as c*u**2 + l + f*u and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 401799 is divided by 280.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 18*d**3*s**2 + 2*d**3*s + 170*d**2*s**3 - 38951*d**2*s + 13*d*s**3 - 2 wrt s?\nAnswer: 36*d**3 + 1020*d**2*s + 78*d*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 91345417949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -h**2*l - 6*h**2*r - 42*h*l**3*r + 89*r wrt l?\nAnswer: -h**2 - 126*h*l**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 82*r - 796. Calculate l(-11).\nAnswer: -1698","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o = -2*o + 20. Suppose -6*r + o*r - 52 = 0. Let j = 43 + r. What is the remainder when j is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3744*y**6 - 2249*y**2 wrt y?\nAnswer: -449280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 2*d**2 + 3*d - 4. Let f be m(-3). Solve -f = -5*t - 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -43 - -42.89. Let m = v + -0.59. What is m rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1427 is divided by 492.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5 + (sqrt(1152) + (sqrt(1152) - (sqrt(1152)*-4 - sqrt(1152))))\/(4*sqrt(9)*2 + sqrt(9)))*-3)**2.\nAnswer: 560*sqrt(2) + 8297\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3 + -2. Let i = 1 - 0.8. What is the closest to 1 in -5, b, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 10 + -1251012?\nAnswer: -1251002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**(-1\/3)*b**0*(b*b**(-2\/7))\/(b\/(b*b**(-3))))**(1\/29))**22 assuming b is positive.\nAnswer: b**(-1210\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -k**2 + 647*k - 7019. What is r(11)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 37459782 to the nearest integer?\nAnswer: 6120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -647*o**2 - 9*o + 12. Let c(x) = -1941*x**2 - 26*x + 34. Calculate 6*c(q) - 17*i(q).\nAnswer: -647*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 7*i + 5. Determine f(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y = -67813 - -20954195\/309. What is the common denominator of y and -34\/21?\nAnswer: 2163","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 37*i**2 + 6*i. Let d(a) be the first derivative of -1333*a**3\/3 - 215*a**2\/2 - 2290. Calculate 6*d(z) + 215*w(z).\nAnswer: -43*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 16 and 4324006.\nAnswer: 34592048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o be (8 - 2) + -9 + 5. Suppose 10 = 4*u + v - 37, 19 = o*u + 5*v. Calculate the remainder when 58 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 96 and 96 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*1 + 583\/(-187).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/1*(443\/(-1329))\/((-26)\/(-18))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -231 = i + l - 225, 3*l = -i - 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*b - 12 = -5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find l such that -2*l**4\/3 + 151*l**3\/6 - 33*l**2\/2 - 294*l = 0.\nAnswer: -3, 0, 4, 147\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -k**3 - 18*k**2 + 93*k + 207. Let d be c(-22). Solve -d*a + 15 = -112*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -21936983, -21936984, -21936985, -21936986, -21936987?\nAnswer: -21936988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) be the second derivative of 0*b**2 + 0 - 1\/4*b**4 - 25*b - 1\/3*b**3. Let r = 3 - 8. Let h(f) = 7*f**2 + 5*f. What is r*g(d) - 2*h(d)?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is ((-360)\/(-5580) + (-4568)\/(-310) - -10) + (-4)\/5?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (3*(-3)\/(-30))\/((-1044)\/438) and 97\/20.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 66877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express 74*v**2 + 3*v**2 + 8*v**2 in the form n*v + h + u*v**2 and give u.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -18622, -37247, -55872, -74497, -93122, -111747?\n\"Answer: -18625*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let -49*o**4\/3 + 37513*o**3\/3 - 353819*o**2\/3 - 562945*o\/3 - 69300 = 0. Calculate o.\nAnswer: -5\/7, 11, 756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -426 divided by 4\nAnswer: -213\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 954583580 to the power of 1\/4, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(96)\/sqrt(8))\/sqrt(6) + 6*sqrt(12)\/sqrt(6))**2.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:27 PM and 1:48 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -16347.2 - 0.815006898\nAnswer: -16348.015006898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 48 (b) -14 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 99092372 is divided by 139.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2968 = -2*q + 2468. Let k be q\/135 + (-4)\/30. Suppose -2*c = 4*j - 110, c + k = 3*j - 75. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 302 - -1335?\nAnswer: 2041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 58 and 18?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 704739212.\nAnswer: 2, 43, 4097321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 6 = 5*k, -3*k = k + 8. Let q(o) = o**2 + o + 1. Let c(l) be the first derivative of l**4\/4 - 4*l**3\/3 - 2*l**2 - 4*l + 18. Calculate d*q(f) - c(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -306.7576805 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -39, -52, -65, -78, -91, -104?\n\"Answer: -13*s - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -42*b**3 + 3*b**2 + 4*b. Let y(x) = -83*x**3 + 5*x**2 + 7*x. What is -5*j(w) + 3*y(w)?\nAnswer: -39*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1468 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 4*a + 2*a = 0. What is the common denominator of -1 + 145\/(-10) + a and -53\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.353 - -0.053. Let j = -7 - -22\/3. What is the nearest to j in 0.5, t, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*l**3\/9 + 340874*l**2\/9 - 14589442822*l\/9 + 5537866498414\/9 = 0. Calculate l.\nAnswer: 383, 85027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1370073 and 80364?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 64 in -0.5, -2079\/8, -4, -2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 3*f**2 - 7*f. Let l(c) = 2*c**2 - 5*c. Let z(y) = -5*d(y) + 7*l(y). Let g(x) be the first derivative of 7*x**2\/2 + 30. Calculate z(g(b)).\nAnswer: -49*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -18, 36056, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q**(-3)\/q)\/q)\/(q\/(q\/(q\/(q\/q**(-1\/4)*q)))))**(-45) assuming q is positive.\nAnswer: q**(675\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -200122201120 (base 3) to base 6\nAnswer: -11512023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -144 divided by 27591\nAnswer: -48\/9197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 1111001101110010000111 (base 2) in base 13?\nAnswer: a98637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 688 minutes before 2:20 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -582271 divided by -3.\nAnswer: 582271\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u**3 - 103208*u**2 + 4133120*u - 41347200 = 0. Calculate u.\nAnswer: -25842, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 135706001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = -18 + 17. Is 36 a factor of k + -1 + (-32)\/(-4)*37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b + 13 = -b. Let c = -6 + b. Suppose -2*q - c = 3*n - 62, 0 = -4*q - 4. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*x + 2 = 0, 30*s + x = 35*s + 16 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z**3 - 474*z**2 - 8718*z - 8246 = 0. What is z?\nAnswer: -217, -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 3*y**3 - 2*y**2 + y. Suppose -2*m + 6 = -0. Suppose -m = 3*k - 6. Calculate o(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 48 minutes before 3:22 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -0.2, 4\/5, -4, 9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -7*d. Let p(c) = -29*c**2 + 9*c + 9. Let v(b) = -7*b**2 + 2*b + 2. Let r(x) = 2*p(x) - 9*v(x). Calculate w(r(a)).\nAnswer: -35*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 52 is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 13.9755 or -0.076?\nAnswer: 13.9755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find z such that -7\/10*z**3 - 2 + 11\/10*z**4 - 7\/2*z**2 + 26\/5*z - 1\/10*z**5 = 0.\nAnswer: -2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 156*b + 63. Let q(m) = -156*m - 64. Let i(a) = -5*l(a) - 4*q(a). Is i(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = 4*t**2 - 26*t - 51. Let x be (3\/2)\/(-8 + 1925\/238). Is 39 a factor of w(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 - 18 = -2*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15*t**3 - 25*t**3 - t**3 + 9*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -6*y + 8. Let d = 6 - 8. Let r = 37 + -23. Let s(q) = -q + 1. Calculate d*w(t) + r*s(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 28728540619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose a = 21 + 9. Suppose -4*h = -14*b + 18*b - 136, -4*h + 31 = b. Let p = a - b. Put p, 4, -1 in ascending order.\nAnswer: p, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 961 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8419 plus -2.92752048?\nAnswer: -2.08562048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 114 = -j. List the prime factors of j.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 4 by 1529202.\nAnswer: 2\/764601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -2 + (5 - 15) - -278 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n + 3*s - 70 = -0*n, 5*n = -3*s + 175. Suppose -112*o + 101*o = -374. Is o > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) be the second derivative of h**3\/6 - h + 23. Let m(s) be the third derivative of s**4\/4 + s**2. Determine i(m(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = c**3 - 5*c**2 - 6*c + 4. Let l be a(6). Suppose -5*n + 394 - 114 = 0. Suppose l*u = 180 - n. Calculate the remainder when u is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1bb7a5 + -6?\nAnswer: 1bb79b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j be 0\/(0\/2 - 2). Suppose j*g - 66 = 3*g. Let s be (-2)\/11 - 136\/g. Solve s = 3*u - 5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -u**4 - 31*u**3 + 38*u**2 + 192*u.\nAnswer: -u*(u - 3)*(u + 2)*(u + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b = 14 - -46. Suppose 8*t - b = 6*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -64842 * -1\nAnswer: 64842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 0 + -11000010?\nAnswer: -11000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/(-16 - 479427\/(-29963)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1796.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 853768 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Product of -3 and 269766462.\nAnswer: -809299386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) be the first derivative of -16\/3*c - 1 - 4\/3*c**2 - 1\/9*c**3. Factor x(t).\nAnswer: -(t + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 34282626 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1.3 in 83, -2\/221, -4\/7, -1\/4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4715 - -5314. Suppose 0*o = 3*o - m. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in -1\/6, -2\/9, -0.2, 245?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**2\/(n\/n**(-2\/3)))\/(n**6*n)**(-36) assuming n is positive.\nAnswer: n**(757\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express -13 + 0 + 14 - 21*r as a*r + v and give a.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 21*f + 151 = -4*o, -1 + 0 = 537*o - 540*o - 4 - 0 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l*l**2)\/(l*l**(9\/8)) assuming l is positive.\nAnswer: l**(7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 539278 is divided by 179628?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j = -62 + 247\/4. Which is the second biggest value? (a) 4 (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 604, 1316, 2028, 2740?\nAnswer: 3452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = -394 - -397. Calculate the least common multiple of b and 239.\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine v so that 2*v**5 + 5302*v**4 + 3665416*v**3 + 199044416*v**2 + 549752832*v - 752467968 = 0.\nAnswer: -1296, -56, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*z**3 - z**2 + 3607*z - 27961 wrt z?\nAnswer: 6*z**2 - 2*z + 3607","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 32799?\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 35 a factor of 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5435698 is divided by 26.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -9*x - 22. Let r(y) = 2*y. Calculate r(u(o)).\nAnswer: -18*o - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*v**2 - 8741*v**3 + 17491*v**3 - 8747*v**3.\nAnswer: 3*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.272 - -144.728. Let k = x + -144.52. Let p = k - 0.498. What is p rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 14.0092 - 14. What is d rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-15)\/d)**(-6) assuming d is positive.\nAnswer: d**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = 79 - 75. Let t(x) = 2*x**2 + 7*x + 7. Let q(j) = -j**2 - 4*j - 4. Let l(g) = p*t(g) + 7*q(g). Let w(z) = 8*z**2. Determine -12*l(o) + w(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 5643 and 12759450?\nAnswer: 114835050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 13310133 (base 4) in base 12?\nAnswer: 16653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38*x = 46*x - 61952. Suppose -x = -35*a + 27*a. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 827.8 - 832.8. Which is the closest to 2? (a) s (b) 4 (c) -737\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (3\/9)\/(2\/12). Suppose -4*x = -2*t + 16, 0 = -2*t - 0*t - 4*x + 8. Let i be 1\/s + 3\/t. Solve 0 = -2*d + d + i for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-9)\/72 + 5\/40\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = 5*w + 25, 0 = 2*a + 3*w + 7 + 22. Let y = a + 16. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.1 - 2.1. Let m = -408 - -412.97. Let x = m - 5. What is the nearest to 0 in 1, n, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = c - 325 + 114. Suppose f - 3*u - c = 429, -4*f = -4*u - 2560. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.02286, -0.2, 1\/5?\nAnswer: 0.02286","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.4 * 8.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 58351463921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1863830.\nAnswer: 2, 5, 29, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.06 - 2.94. Let v = 1059\/4204 - 2\/1051. What is the second smallest value in 0.31, v, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = s**3 - 8*s**2 - 9*s + 4. Let z = 154 - 145. Let a be k(z). Solve a*f - 7 = 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 340a + 1027?\nAnswer: 4436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1101871?\nAnswer: 1101871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -42*q - 2. Let o be w(-1). Suppose -o = -2*v + 4*a, -4*v + 29 = -2*a - 51. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -27664, -55353, -83076, -110845, -138672, -166569, -194548?\n\"Answer: -2*q**3 - 5*q**2 - 27660*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 55040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.6 - -50685544.8.\nAnswer: 50685544.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 2a (base 16) to base 6.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -3*z**2 - 2540*z - 154*z**3 + 5066*z - 2528*z - 666*z**3 in the form d*z**3 + b*z**2 + a + l*z and give d.\nAnswer: -820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 584 is divided by 86.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 3*y - 3422 = -26215, -4*q + 91164 = -4*y. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3313? (a) -547 (b) 4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1275773263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1115040 - -300?\nAnswer: 1115340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -6*d - 8. Let f(v) = -v - 1. Let w = -1 + -1. Let m(a) = 3*a - 142. Let y be m(52). What is w*i(c) + y*f(c)?\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -34 + -4 - (212 + -80 + -114).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 470 minutes before 10:05 AM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 24337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 90\/405 - 388\/(-36).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**3\/m**13)\/(m**21*m**25) assuming m is positive.\nAnswer: m**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 254891861 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = -116 - -66. Let a = t + 52. Suppose -g + 40 = -2*d - a*d, -3*g + 35 = 5*d. Solve -g = l - 5*h, 5*h = -l + 8 + 22 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 80 is divided by 63?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5216.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15489.\nAnswer: 3, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:33 PM and 1:09 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 29 - 80 - 33 - 15 - 52 + 4 + a.\nAnswer: a - 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -7*-36.6\nAnswer: 256.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-1\/8))**(8\/7)*((t\/(t\/t**(-1))*t*t)\/t)**(-34) assuming t is positive.\nAnswer: t**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l - 3*g - 16 = 0, 5*l - 22*g + 2 = -20*g for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1282 + 1275. Put 5, 4, 0, p in decreasing order.\nAnswer: 5, 4, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = u**3 + 8*u**2 - 10*u - 2. Let x be (-3)\/3 + 1 + 4. Suppose 9 = -x*n + 3*n. Calculate the remainder when 11 is divided by v(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 17458 and 142?\nAnswer: 1239518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 408066 - -2?\nAnswer: 408068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 92 minutes after 7:11 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10324.\nAnswer: 2, 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4 in -0.322, -1.6, -2\/7, -307, -0.3?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 33177 + -22975. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 903\/344*(-132)\/(-5313).\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*a - 6*a + 4*a)*(-2 + 1 - 1)*(-3 - 9 + 2) to o + h*a and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-4 - (-34)\/8)*-1. Which is the third biggest value? (a) k (b) 3 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 6484 and 64.\nAnswer: 103744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 87 times -11\nAnswer: -957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 0 smaller than 41\/56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/3 of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -4*l + 89. Let u = 2598 + -2598. What is n(u)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.6 - -0.2. Suppose -2*f + 8 = 6*f. Which is the closest to f? (a) -5 (b) n (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (1\/(-3)*0)\/(-1). Suppose 0 = -d*t + 5*t - 14725. Let v = t + -1732. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 6320 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -b. Let o(p) = -67*p - 11. Let t(s) = -2*s + 1. Let m(k) = 2*o(k) + 22*t(k). Give q(m(i)).\nAnswer: 178*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -35*v + 12*v + 29*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 332, -12, 4.\nAnswer: -12, 4, 332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 2 = 22. Solve 7*z = 2*z + x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-4)\/(-6)*(-33 - -3)\/(-2). Let t(l) = -l**3 + 9*l**2 + 11*l - 5. Let u be t(o). What is the highest common factor of 55 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40 = 2*t - 4*p, 0*t = -2*t - 3*p + 19. Let k = t - 23. Let r(g) = -4*g - 15. Is 7 a factor of r(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -6*i**3 + 2*i**2 - 11*i - 5. Let u(v) = 7*v**3 - v**2 + 12*v + 6. Let x(m) = -6*q(m) - 5*u(m). Factor x(s).\nAnswer: s*(s - 6)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is c - -21?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 396 and 144?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 4917 and 32?\nAnswer: 4885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3302047 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 14686 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 0.3*0.0856\nAnswer: 0.02568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 14785*d**2 - 115*d - 477. Is x(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 160 is divided by 44.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = -260.5 + 260.5007944. Round l to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2 - 0. Suppose 23*y + 69 = 26*y. Let b = f + y. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 680 minutes before 1:00 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -3*g - 2. Suppose 4*j + 12 = -5*z, 9 = 5*z + 3*j - 6*j. Suppose 3*m + 2 + 10 = z. Determine v(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 8703 divide 1055273732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 95\/22 and 121\/156815778.\nAnswer: 1724973558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 = -2*k - 2*y, 2*k + 14 = 34*y - 38*y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x be (20\/6)\/(14\/(-42)). Let l = 1532 + -1540. Which is greater: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -6\/59? (a) 5 (b) -5 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = 128 - -1745. Let g = c + -1873.0001033. What is g rounded to six dps?\nAnswer: -0.000103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 233 + -2?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 153693053?\nAnswer: 59, 149, 17483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 33947465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6)\/(-8))\/((-208)\/(559104\/6300)).\nAnswer: -8\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -203283 + 63*d**3 + 122*d**3 - 203439 + 406722.\nAnswer: 185*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -50970.79 to the nearest one hundred.\nAnswer: -51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -85\/56 and 29\/28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 138? (a) 7 (b) 2\/7 (c) -0.4 (d) -270\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*s + 9*s + 0*s + s + s - s + 2 + (3*s - 11 + 11)*(-2 - 2 + 5) + 4*s + s - 3*s.\nAnswer: 13*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -i**3 + 133*i**2 - 2264*i + 208. Calculate t(113).\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*z + 19 = -v, -4 = 3*v + z - 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 8*m - 11. Let d(b) = -199*b. What is d(y(t))?\nAnswer: -1592*t + 2189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2 - -1. Let y be 4\/(12\/15)*3. Calculate the greatest common divisor of y and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (12\/(-16))\/(-1)*4. Let g(j) be the first derivative of 0*j - 2\/5*j**5 + 0*j**h + 0*j**4 - 1 + 1\/2*j**2. Find the second derivative of g(k) wrt k.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -f**2 - 5*f - 7. Let k be t(-3). Which is the closest to -3? (a) 1 (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) be the third derivative of -h**6\/120 + 41*h**5\/15 - 266*h**4 - 4704*h**3 + 22*h**2 + 22. Solve a(n) = 0 for n.\nAnswer: -4, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 230 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -0.04546 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 17 + -7 + -20 - 6 - (-4 - -2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -v**3 - 5*v**2 + 6*v. Let y be k(-6). Let z(s) = s - 3. Let g be z(y). Sort -2, g, 2 in decreasing order.\nAnswer: 2, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -j - 41*j**4 + j**3 - 11*j**4 + 54*j**4 - 3*j**2 as d*j + l + t*j**4 + x*j**3 + p*j**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -22516, -43701, -64886, -86071, -107256, -128441?\n\"Answer: -21185*h - 1331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -4*s - s. Let u be (-1*7)\/(33 + -32). Put 5, u, s in increasing order.\nAnswer: u, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.05174 minus 331297622?\nAnswer: -331297622.05174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -30 + 1112?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -1246*n + 24*n - 10817 = 3847 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -48 + (106 - 81 - (-1 - -14))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -1251*o + 1529. Let x(y) = -y + 1. Determine 2*s(j) - 3058*x(j).\nAnswer: 556*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-12)\/(-24))\/((-77)\/78 - -1). Suppose 5*i + 69 = 4*s, 8*s - 4*s + i - r = 0. Solve 0 = -4*d + 5 + s for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 57797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 0.3348259ug?\nAnswer: 334.8259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 82, 1098, 3976, 9646, 19038, 33082, 52708, 78846?\n\"Answer: 155*y**3 + y**2 - 72*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 4, 85, 3 in ascending order.\nAnswer: -3, 3, 4, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -7*p + 62. Calculate the remainder when 57 is divided by i(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out -323 * -619.23.\nAnswer: 200011.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 2\/61 (b) -4 (c) -1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dsbsdfddssqqqdod. What is prob of sequence ofd?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = 121 + -84. Let c = -36.38 + w. Round c to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2134, -0.4, -3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 144 - -62?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2183 is divided by 1117.\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 667 times -0.5?\nAnswer: -333.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(-3)*j)**(-21))**16 assuming j is positive.\nAnswer: j**672","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 352*w**2 + 10*w**3 - 3*w**3 - 352*w**2.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:45 PM and 7:25 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f = -18 - 18. Let h(i) = i - 12. Let s be h(f). Which is greater: s or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 1, r: 2, j: 1}. Give prob of picking 1 j and 1 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-13)\/(-5) - 3) + (-32)\/(-30). Let p = 1 - 0. Let m be 8*11\/2772*7. Which is the closest to p? (a) m (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -255 + 263. Suppose 2*y - 6 = 2, -q - 2*y = -b. Let p(u) = u - 1. Determine p(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 1149 + 955 = -2*w, 5*i = -5*w + 2125. Let m = 422 - i. Find z such that 3\/5*z + m - 1\/5*z**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 42*d**4 - 11752*d**3 + 3337624.\nAnswer: 168*d**3 - 35256*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yf when two letters picked without replacement from fvzyb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -17 times -337.18\nAnswer: 5732.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) be the first derivative of 62*c**3\/3 - 89*c - 133. Find the first derivative of v(z) wrt z.\nAnswer: 124*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 24 + 24 = 24*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1\/(-2 + (-5)\/(-2)). Let y be (4\/6)\/(4\/30). Let f = 7 - 10. Put y, x, f in increasing order.\nAnswer: f, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -51582, -103167, -154752, -206337, -257922, -309507?\n\"Answer: -51585*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 3892370 a multiple of 515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1*57*(598\/(-39) - -7 - -9)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = s**2 - 1. Let l(h) = -3*h**2 - 3*h - 6. Calculate -l(r) - 2*m(r).\nAnswer: r**2 + 3*r + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = -6951 + 6951. Solve -30 = 5*x - l*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-1))**(-31)*(g**(-1\/11)\/g)\/(g\/(g*g**(-1\/2))*g) assuming g is positive.\nAnswer: g**(625\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 2460432757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find b such that 4*b**5\/7 - 124*b**4\/7 + 116*b**3 + 892*b**2\/7 - 6624*b\/7 + 720 = 0.\nAnswer: -3, 1, 2, 10, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 1 l when two letters picked without replacement from lckkfkiik?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 261 divide 66927708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -410*x**2 + 225*x - 560. Let g(o) = -49*o**2 + 28*o - 70. Let p(b) = -3*f(b) + 25*g(b). Factor p(q).\nAnswer: 5*(q - 2)*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = 17549*u + 6019312. Calculate d(-343).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = 7470*g + 11. Is s(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -26*c + 95. Let f(k) = -54*k + 190. Determine 4*f(d) - 9*s(d).\nAnswer: 18*d - 95","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -45, -85, 0.15?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 - (1 - 6) - (4 - 9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-z + z + 3*z**2)*(-265 + 141 + 136).\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q\/q**(30\/13))\/q)\/q*q*q*q**(2\/43) assuming q is positive.\nAnswer: q**(-705\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 241467 is divided by 59350?\nAnswer: 4067","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 5058793169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 2951609802 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: Add 3 and -0.0275365.\nAnswer: 2.9724635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 61*u - 57*u + 8 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 376213148, 376213150, 376213152?\nAnswer: 376213154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29 = 6*f - 5*f. List the prime factors of f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (11*(-84)\/1078)\/4.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -28*h - 2*h**2 + 39*h - 2*h.\nAnswer: -2*h**2 + 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 264029 is divided by 237.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t be (36 - 1)*(-24)\/(-10). Suppose -3*y = -6 - 6. Suppose -m - 34 = -3*u, -3*u + y = -5*m - 22. What is the highest common factor of u and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4350 - 4345. Solve -3*c + 2*g = -6*c + 4, -3*g - 32 = -p*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -16252, 3\/4, 12, 4 in increasing order.\nAnswer: -16252, 3\/4, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = 85 + -4. Let r = 1\/1413 + 30143\/1413. What is the common denominator of r and -2 + (-12)\/(-3) - 309\/k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 216 - 145. Let k = 76 - h. Suppose -2*n - 96 = -10*n. Solve 0 = -5*w - j + 6 + 2, 3*w = k*j - n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(3\/14)\/((u\/(u**(-4\/5)\/u))\/u))\/((u**1*u)\/u)**(-3) assuming u is positive.\nAnswer: u**(99\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, 0.4, 2, -0.043, -4.\nAnswer: -4, -0.043, 0.1, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -v - 3. Let a be x(-7). Let z = -32 + 36. Solve 0 = 2*c + 8, -z*s + 3*c - 12 = a*c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4.6844 - 0.6844. What is the closest to 4 in -3, y, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 108.1 + -115. Round s to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 607136965 to the nearest integer?\nAnswer: 24640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from auzzliua. Give prob of sequence lau.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -111*p - 113*p - 70*p - 116*p + 404*p - 9.\nAnswer: -6*p - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -a - 5*n - 0*n - 17, -4*a - 32 = 2*n. Let p = -5 - a. Suppose -p*f - 45 = -5*f. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 28616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - 93558 = 104205. Let r be (-3)\/2 - 665517\/6. Let t = o - r. What is t rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 o and 1 a when three letters picked without replacement from oaotoaastssooattasss.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a be 33\/11 - 16\/2. Put 5, -2, a in descending order.\nAnswer: 5, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 92\/90 + 4\/(-18). Let y(i) = -4*i - 36. Let v be y(-10). Which is the closest to 0.1? (a) v (b) p (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(2\/7)*u*u)**(-2)*u**(-2\/3)*u*u**(1\/3) assuming u is positive.\nAnswer: u**(-82\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand -c**5 + 9*c**3 - 10*c**3 + 2*c**5 - 3*c - 13*c**5 + c**5 + 37*c**5 + (2 - c**2 - 2)*(c**2 - c**2 + 2*c**3).\nAnswer: 24*c**5 - c**3 - 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d be (16\/20)\/((-1)\/(-70)). What is the greatest common divisor of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 47\/1384080 and 71\/300.\nAnswer: 6920400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w = -355 - -360. Let j = -35 - -209\/6. Which is the second biggest value? (a) -1 (b) -0.1 (c) j (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000936726 to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -22731*f**2 - 16882*f + 2?\nAnswer: -45462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.1 (b) 0 (c) -0.08 (d) 4\/3 (e) 0.05 (f) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3369 rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -17 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -81 * -4\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 2242073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 26532 and 3168?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 166 minutes before 12:46 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 2233.521105 rounded to the nearest integer?\nAnswer: 2234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 684 divided by 171.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*i**2 - 5*i**2 + 22*i**2 - 5*i**2.\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21 = -9*a + 48. Solve 0 = a*t - 1 - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1 + -21?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -68*s - 5985. Calculate i(-88).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose c = 3*s + 27, 5*s - 10*s - 4*c - 28 = 0. What is the remainder when 117 is divided by ((-2)\/(-3))\/(((-56)\/315)\/s)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ge when two letters picked without replacement from {r: 7, v: 2, g: 6, e: 1, h: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*a = -2*m + 20*a - 26, -2*m + 3*m + 8080 = -9*a + 8077 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = d**2 + 8*d - 8. Suppose 5*s = 14*s + 72. Give f(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*d + 31 = -136*s + 141*s, 0 = 2*s + 5*d + 34 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 16802 (base 10) in base 13?\nAnswer: 7856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1 - -6. What is the third derivative of 14*b**l + 0*b**2 - 7*b**5 + 15*b**2 wrt b?\nAnswer: 420*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y - 12 = 3*g - 39, 0 = -2*y + 3*g + 54. Let d = 41 - y. What is the smallest common multiple of 2 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 1\/4, -0.071, 0.2, 1\/6?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-33)\/44)\/(1\/(-4)). Find the third derivative of t**2 + 58*t**6 + 0*t**3 + 0*t**i - 66*t**6 wrt t.\nAnswer: -960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5 + -3. Which is the nearest to d? (a) -0.04 (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -1217\/38 and 0.21 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = -631.05534 + 0.05534. Which is the second smallest value? (a) f (b) -2\/21 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 17.51 + -0.41. Let r = o - 17. What is the second biggest value in 0.5, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 97*t**2 - 6*t + 5. Is a(1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/(t\/(t\/(t\/t**0*t))))**(3\/13)*t**(3\/8)\/t**4 assuming t is positive.\nAnswer: t**(-401\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-60)\/45 - -4*10\/12. Is 14334\/18 + n + 4\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2872 and 5959759.\nAnswer: 47678072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4 - -4. Let x be (-181)\/(-6) + q\/(-48). Calculate the highest common factor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7190915 = 68*u + 87*u. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.0574 - -0.9916. Let k = d + -0.98. Round k to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1431709633?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -14 - -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4691 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = 5.99 + -0.59. Let p = a + -0.4. Sort 1\/2, 2, p in ascending order.\nAnswer: 1\/2, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.09, 15, 25, -0.2, -1\/2 in decreasing order.\nAnswer: 25, 15, 0.09, -0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2204.2 + 2204. What is the third biggest value in 6, i, 2\/13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -52 + 49. Put r, 5, 1 in descending order.\nAnswer: 5, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 32087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s = 3 + 41. Suppose 13*g - s*g - 6 = 0. Calculate the remainder when g is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -r - 4*r - 4*d - 16, -4 = -4*d. Let z be (-55)\/(-10) + 2\/r. Let v = 0.2 + -0.1. Which is the nearest to -1? (a) -0.2 (b) z (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -7*m**6 + 3*m**5 - 760*m**4 - 112746834*m**2.\nAnswer: -840*m**3 + 180*m**2 - 18240*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = s**2 + 2*s - 6. Let r(t) be the second derivative of -t**4\/6 - 5*t**3\/6 + 13*t**2\/2 - 7*t. Give 9*f(b) + 4*r(b).\nAnswer: b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -71\/24 and -57\/368.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2253471 divided by 751157.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -7795?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -9*b**3 + 15*b**2 + 1. Let n(i) = 5*i**3 - 8*i**2. Give -3*h(l) - 5*n(l).\nAnswer: 2*l**3 - 5*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 227 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 83\/8122 and 143\/251520?\nAnswer: 7797120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -1877 + 1877 - 2102*i**2 + 18633*i**2 as l*i + v + b*i**2 and give b.\nAnswer: 16531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:55 PM and 2:53 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u\/(u**(-2\/5)*u)*u*u*u**(-6))\/(u**(1\/2))**19 assuming u is positive.\nAnswer: u**(-121\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 96432 is divided by 1221.\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-2 + 2)\/(((-16)\/(-4))\/(-4)). Factor 2*g**2 + 2 + a - 4*g + g**3 - 10.\nAnswer: (g - 2)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4082*-14.\nAnswer: 5.7148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bbvnnp. What is prob of picking 1 n, 1 v, and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = r**3 + 31*r**2 - 203*r + 2806. What is the hundreds digit of i(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 150 and 36948?\nAnswer: 923700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 21 and 2163?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**4*x**(-7) assuming x is positive.\nAnswer: x**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -1 - (-39)\/30 - (36\/120)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 2*v - 4. Let k be y(-4). Let q = -4 + k. Calculate the common denominator of -1\/5 and (70\/15)\/(q\/(-21)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:24 AM and 3:07 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -20 - 10 + 7 - 445*m**2 - 17*m + 446*m**2. Give j(18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*g + 4*g - 3*g + (-3 - 2 + 4)*(-6*g + g + 3*g))*(38 - 38 - 3*g**3) to l + y*g**4 + c*g + d*g**2 + v*g**3 and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = 48 - 48. Solve j = 4*z - 0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -8136127 > -8136135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 7964461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -1455399 (base 11) to base 4\nAnswer: -21201121200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = 8 + -12. Let m be -2 - z - 4*2. Let o(h) = h**2 + 5*h - 1. Determine o(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -3*f + 8. Suppose 0 = -2*i - f + 8. Suppose 12 = i*x + x. Solve -q + 1 = j - 3*j, -x*j - 6 = -3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6136?\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -1*1.48538\nAnswer: -1.48538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) be the third derivative of p**4\/12 + 2*p**3 - 4*p**2. What is the remainder when n(5) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 727 - -1140. Does 20 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2962 = -128*q + 750 for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 2.2513 to one decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor k**3\/6 - 2242*k**2 + 710543*k\/6 - 884334.\nAnswer: (k - 13399)*(k - 44)*(k - 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s + 26927*q - 76 = 26935*q, 2*s = q + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 0.1960214 weeks?\nAnswer: 118553742.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -12254 minus 2793951519?\nAnswer: -2793963773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = 101 + -72. Suppose 30*r - u*r = 4. Solve -2*b - 4 = 4*s, 2*s = 6*s - r*b + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1 - -3. Let s = 4 - -2. Let o = -4 + s. Solve -i*k = 8, o*k - 7 = 4*t - 27 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -404, 1, -1, -322600 in descending order.\nAnswer: 1, -1, -404, -322600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x be (8\/(-24))\/(1\/(-3)). Let g(d) = 23*d - 6. Let b(u) = 2*u - 1. Let a(h) = x*g(h) - 6*b(h). Let n(j) = j**2. Determine n(a(r)).\nAnswer: 121*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0 + 2. Let y be 2 + (-1 - -2 - g). Suppose y + 1 = s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -12*r**2 + 11*r + 18. Calculate u(-8).\nAnswer: -838","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 7*r**2 - 3*r + 1. Let p(g) = g**2 - 9*g - 11. Let c be p(10). What is the tens digit of b(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 65 + -57. What is the greatest common factor of 56 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 divided by 1002944.\nAnswer: -5\/1002944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 7, a: 9}. Give prob of picking 4 m.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 187379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 565 - -2?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2542959 is divided by 65204.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j - 10 = -2*u, -13*u = -12*u - 5. Suppose j = -5*z - 3*x - 2612, 5*x - 481 - 19 = z. Round z to the nearest ten.\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-180)\/(-3150))\/(12\/42).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -3762\/26287 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/x**(-1))**(-4\/3)*x**(2\/5)\/((x\/(x**(-6)*x*x)*x)\/x) assuming x is positive.\nAnswer: x**(-109\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 28325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -2*l - 2. Let x(o) = o**2 + 11*o + 11. Let j(h) = -11*s(h) - 2*x(h). Suppose -8*g + 26 = 2. Let a(n) = 5 - 6 + 6*n + 6 - n + g. Give j(a(q)).\nAnswer: -50*q**2 - 160*q - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -108 = m + p - 113, -4*m + 5*p + 2 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2*b**3*v**3 + 418*b**3*v**2 - 1529*b**3*z**3 - b*v**3*z**2 wrt z?\nAnswer: -4587*b**3*z**2 - 2*b*v**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 2267290 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21387077?\nAnswer: 21387077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xddkxdxdkxd. What is prob of picking 1 x and 1 d?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23032892 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 28 a factor of 382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 4 + 4)*(-2 - 7 + 0)*(3098*u - 2128*u + 1553*u)*(-1 + u + 1) to the form r*u + c*u**2 + l and give c.\nAnswer: -45414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*h + 6 - 22. Let o be h\/(-4) + (-198)\/(-252). Which is the third smallest value? (a) 2 (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(2 + sqrt(2) + sqrt(2))*-3 - ((sqrt(144)*-5 - sqrt(16))\/sqrt(8))**2.\nAnswer: -482 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l - 9 = -k, -3*k + 35 = 2*k - 5*l. Suppose -k*w = 142 + 1748. What is w rounded to the nearest ten?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 389 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 98857*p - 98900*p + 382872000 = 0. Round p to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -10 bigger than 186128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 341734 - 3132?\nAnswer: 336602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2097005 = -3*l - 5*p, 1086631 + 1709372 = -4*l - 3*p. Round l to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 611 is divided by 48.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-one fifths of a hour in minutes?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p be (57\/(-6))\/((-49)\/1764). What is the greatest common divisor of p and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 10145688 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 680144 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.04674554 rounded to 3 decimal places?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 5*t**2 + 55*t + 7. Let o be u(-11). Suppose 0*w + o*w = -4*w. Solve -19*f + 24*f + 20 = w for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by 842?\nAnswer: 2\/421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + 4*d = 17, -10 = -3*d + d. Let o be (136\/12)\/(4\/(-6)). Let l = s - o. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) be the first derivative of -5100*g**7\/7 + 2*g**3\/3 - 5*g**2\/2 - 240*g - 5952. Find the third derivative of n(h) wrt h.\nAnswer: -612000*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-45)\/(-7) + (-127)\/(-1778). Let g(j) be the first derivative of -2*j + d*j**2 - 4. Find the first derivative of g(y) wrt y.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -3030670535 + -2?\nAnswer: -3030670537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n be -13*(-3)\/315 + (-2)\/(-14). Which is the nearest to 1? (a) 0.4 (b) n (c) 1\/4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*s**2 + 84 - 164 + 80 + 5*s**2 - 11*s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/793? (a) -1\/4 (b) -7 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*o = 22*o - 1756. Suppose -2*n = -2*t + 310, 4*t + 5*n - 190 = o. What is the greatest common divisor of t and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -10879888*q**2*z**2 + 13*q*z**2 + 148*q*z + 83 wrt q?\nAnswer: -21759776*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 0.8298168 centuries?\nAnswer: 995.78016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2268) - (-2*sqrt(2268) - sqrt(2268)))\/sqrt(9) + -3*sqrt(63)*3.\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 741*y + 78. What is the thousands digit of r(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:39 AM and 1:19 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/2 in 2\/3, -3, -531\/98, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (6\/4)\/((-4)\/8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -t**2 + 101*t**3 + 106*t**3 + 550*t - 307*t**3 + 99*t**3 to the form d*t**2 + x*t**3 + l*t + p and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(3*sqrt(11) + sqrt(11) + 3).\nAnswer: -16*sqrt(11) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -5b + -1d?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = -85 + 84.6. What is the nearest to -1\/3 in 1, -33, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s + 3*i - 24 = 0, -288 = -4*s + 5*i - 301 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 49195200 rounded to the nearest 1000000?\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -27 = -3*j - 3*n, -3*j - 3*n = -n - 22 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1.88 and 38.\nAnswer: 71.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*l = 316 - 946. Let m = l - 104. Is 7\/6 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 24673 and 459815?\nAnswer: 5057965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = c + 36. Let l be r(-33). Suppose -3*i + 7 = m, -3*i = -6*i - 3*m - l. Calculate the remainder when 94 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 19190 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 144*w = 145*w - 12. Suppose -28*n = -34*n + w. Solve c = -1 + n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -20.84 + 21. Let i = w + 5.44. Let d = 5.6000063 - i. Round d to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -133 - 4074?\nAnswer: -4227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -x**2 + 2*x + 11. Let d be h(4). Suppose 0 = -d*w - w - 16, 4*w - 2379 = -5*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 61330 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: Sort 2, 0, 0.2, 65, 1\/4, 5.\nAnswer: 0, 0.2, 1\/4, 2, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*n**6 + 574*n**4 + n**3 + 5*n**2 - 898*n - 6 wrt n.\nAnswer: 240*n**3 + 13776*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -741 - -1209. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1789?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -2*n - 8. What is c(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1437?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o - 9 = 0, 2*o - o = 2*q + 7. Suppose 0 = 4*j + 2*b, -6*j = -2*j + 3*b - 4. Is j smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8 = -31*y + 34*y + 5*k, 3*k + 32 = 5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -4*d. Let v(c) = 1 - 1 - 13*c**2 + 14*c**2. Give v(h(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 14, t: 5}. Give prob of sequence tt.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + 0*r - 4 = 5*r, -2*k - 4*r + 22 = 0. Let g = -10 - -17. Calculate the smallest common multiple of k and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -29 by -40587.\nAnswer: 29\/40587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -6*i**4 - 58*i**3*w**3 - 2*i**2*w**3 - 5*i**2 + 15 wrt i?\nAnswer: -144*i - 348*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 480701, 480703, 480705, 480707?\n\"Answer: 2*w + 480699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/((-15)\/(-5)))\/(10\/50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 71 - 80 - (9 - (11 + 392\/16))?\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d = 4*d - 4. Suppose s + 12 = d*s. Suppose -2*j + s = 2*j. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -41*h = -47*h - 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find y, given that 154*y**4\/9 + 236*y**3\/9 + 2*y**2 - 56*y\/9 + 8\/9 = 0.\nAnswer: -1, 2\/11, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in fifteen quarters of a micrometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -53.984 - -0.084. Let q = h + 53.900243. Round q to five dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 3*a + 37. Calculate x(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 43 + (-41 + 38 - 61).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 2*w. Let n(c) = -2*c + 1539. Determine n(d(p)).\nAnswer: -4*p + 1539","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 1055*d + 2*d**2 - 1055*d. Let l(j) be the first derivative of j**2 - 1. Determine r(l(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -s - 5*s + 16 - 32 - 14*s. Let f(r) = 4*r + 3. Let m be (-8)\/(6 - 13\/2). Give m*f(a) + 3*v(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 47723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jjjfjjjjjjjjjffjjjjj. Give prob of picking 2 j and 1 f.\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -l**2 + 112*l + 1193. Give m(122).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 44.1 times 513?\nAnswer: 22623.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-41)\/((-1230)\/(-36))*30\/(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -71*c + 4*c - 49*c.\nAnswer: -116*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) be the second derivative of 5*m**3\/6 - 11*m. Let j(n) = 8*n**2 + 6*n + 6. Let t(w) = 7*w**2 + 5*w + 5. Let f(g) = -5*j(g) + 6*t(g). Calculate f(o(y)).\nAnswer: 50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -53596*g**3 - 265*g**2 - 5*g + 5517320?\nAnswer: -321576*g - 530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n - g - 7 = 0, -17 = -10*n + 13*n + 5*g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = x**2 + 1. Let c(v) = 5*v**2 - 8*v + 7. Let w(b) = -2*c(b) + 14*p(b). Suppose w(d) = 0. What is d?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = 328*v**2. Let l(d) = 0*d + 2*d + 0*d + 0*d. What is l(c(b))?\nAnswer: 656*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.343*-16.\nAnswer: -5.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 2485657313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -31*p - 9. Let w(j) = -j. Let h(z) = -u(z) + 5*w(z). Differentiate h(k) with respect to k.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.1 + 0.6. Let s = 0.7 - x. Let f = -4 + 6. Put 0.2, f, s in descending order.\nAnswer: f, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -a4 (base 16) to base 2.\nAnswer: -10100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 184 and 1928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 41974.2 nanoseconds?\nAnswer: 0.00000069957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 1 n when two letters picked without replacement from pkmmpmpmmnppmkpmp.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1149117851*s**4 - s**2 - 34*s - 111662.\nAnswer: 27578828424*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -26? (a) 25\/2 (b) 0.3 (c) -6\/4643 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*f - 5*v = 2 + 18, -f = -v - 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (-3*sqrt(76))**2 - -6*((sqrt(76)*1)**2 + sqrt(76)).\nAnswer: 12*sqrt(19) + 1140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: ((-68)\/68*1\/5)\/(15\/9)\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*c - 201*k - 1005 = 0, 0 = -5*c - 612*k + 613*k + 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 122788 is divided by 1535?\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 617292888 a multiple of 809?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 15009 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = 52 + -52.84. Round h to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-7 - -4)*(-18)\/693*14\/(-6)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (8*b - 3*b + 2*b)*(-b**3 + 0*b**3 - 5*b**3) + (-1 - 1 + 4)*(-7*b**4 - 4*b**4 + 5*b**4) - 2*b**4 + 5*b**4 + 0*b**4.\nAnswer: -51*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -39, -4, -5, 16.\nAnswer: -39, -5, -4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 139 is divided by 42?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 106690?\nAnswer: 2, 5, 47, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -86, -1174, -2994, -5552, -8854, -12906, -17714?\nAnswer: -23284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -23*a - 159. Let u be p(-7). Let k be 1\/(-6)*9*16\/(-3). Solve -u*j = k*j - 0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 56 - 80. Let d = a - -34. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:53 PM and 6:31 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -1184\/117 (b) -0.01 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let -700*d**5\/3 + 132940*d**4\/9 - 2025244*d**3\/9 - 293548*d**2 + 4121600*d\/9 + 414736\/9 = 0. What is d?\nAnswer: -2, -2\/21, 1, 161\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 532 minutes after 7:43 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1589)\/(-1085) - (-6)\/(-93).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z**(-9)\/z)\/z)**(-50)\/(z*z**(1\/13))**(-21))**(-9) assuming z is positive.\nAnswer: z**(-66996\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3\/4? (a) -2\/9 (b) 5 (c) 0 (d) -63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 2665387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -85 or -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -31.6 times -22211\nAnswer: 701867.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -43 (b) 155 (c) 2\/2763\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 1*-1*-3*6\/(-45)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + -6 - (-54)\/(-5 - -8).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -23326, -23324, -23322, -23320, -23318, -23316?\n\"Answer: 2*b - 23328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 191526565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 375, 382, 407, 456, 535, 650?\n\"Answer: b**3 + 3*b**2 - 9*b + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -95*y + 54*y + 46*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-15 + 23 - 29)*(-1 + 1 - 21*w).\nAnswer: 441*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -683880300 to the nearest 1000000.\nAnswer: -684000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 437124139 to the nearest integer?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*f = -f + 15. Let d be f*1*(-16)\/6. Let k(b) = 8 + 2*b**2 - d. Let l(r) = 5*r. Calculate l(k(s)).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = 350525*m + 7010518. Give a(-20).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 42 = 9*y - 3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 126 - 13b12c?\nAnswer: -13b006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express 4*f**2 + f**2 + 0*f**2 + 4*f in the form k*f**2 + o*f + l and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = 0*m**3 + 0*m**3 + 2*m - 3 + m**3 + 0*m + m**2. Let q be w(0). Let z be ((-32)\/(-12))\/(q\/(-27)). Solve -22 = 2*p + 5*s, -p - z = 3*p + 5*s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.2 - -2.2. Let o = 32 - 36. Which is the nearest to l? (a) 5 (b) -1\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2 and 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 3*y + 3*y**2 - y**3 - 2*y + 3*y - 3. Calculate the remainder when b(2) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00010697 rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = -59 - -83. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -4 less than or equal to 293929?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/((j*j*j**(-14)\/j)\/j*j))**(26\/5) assuming j is positive.\nAnswer: j**(364\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -31123232221 (base 4) to base 15\nAnswer: -4985d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = 39 + -32. Suppose j*l + 64 = 8*l. Let c = l - 61. Calculate the highest common divisor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2762*q - 2754*q + 5375*q)*(1 + 3 - 7 + 2).\nAnswer: 141*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -133 (base 4) to base 16\nAnswer: -1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -2*(-4)\/(-176)*((-140)\/(-10))\/(-14)\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 44, 120, 246, 0, 3 in decreasing order.\nAnswer: 246, 120, 44, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -7*q**2 + 11*q - 4. Let s(i) = -i**2 + i - 1. Let b(r) = -o(r) + 6*s(r). Is 16 a factor of b(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 6.97 - 544433009\nAnswer: -544433002.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) be the second derivative of 5*p**4\/12 + p**3 + 3*p**2 + 16*p. Let q = -33 + 39. Let g(u) = u**2 + u + 1. Determine q*g(i) - a(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*n - 2*a + 15 = 3*n, -4*n - 12 = 5*a. Let o(x) = -x**3 + 6*x**2 - x + 6. Let c be o(6). Let w = 224 + -228. Sort c, w, n.\nAnswer: w, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1011 + -2?\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and 2910\/20231 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -l**2 + 5*l - 1. Let t be u(5). Let f be t - (6\/(-10) - 0). Let g = -4.2 - -4. Which is the nearest to g? (a) -1\/8 (b) 1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3723384 a multiple of 518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 336631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 8\/305 and -53\/610.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 120 divided by 6.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 4817586*k**3*r + 4*k**3 - 73575*k**2 + 5*k - r wrt r.\nAnswer: 4817586*k**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 33491?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 63326.7 to the nearest 1000.\nAnswer: 63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -60*q + 72*q = 144. What is the lowest common multiple of q and 998?\nAnswer: 5988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v - 2*v = 0. Let p(c) = -2*c + 1. Let k be p(2). Let d = k - -3. Is v at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2976 - 5598. Is 4\/(-14) - i\/14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -0.13, -1\/2, 6484, 2, 23, -2\/11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 57*t - 15*t - 15*t - 20*t. Let z(i) = i**2 - 5*i. Let n(o) = o**2 - 3*o. Let f(b) = 10*n(b) - 6*z(b). What is h(f(p))?\nAnswer: 28*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18 - 6 + 137 + 11 - 21 - 35*j.\nAnswer: -35*j + 139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 38*c = -35*c + 11*c - 5952 for c.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2 minus 957.7003?\nAnswer: -957.9003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j be (3 - (-2 - -2))\/1. Let n(v) = v**3 + 9*v**2 + 7*v - 6. Let c be n(-8). Let h be c\/(2\/j)*220. What is h rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 21374 + -12296. Suppose 9*t + 2157 - n = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -13, 7, 36, 2, -2 in descending order.\nAnswer: 36, 7, 2, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-4 + 4781502\/88545)\/((-24)\/(-10)). Let s = 2\/5903 - o. What is the common denominator of s and -139\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h = 3*k + 15, -2*h + 164*k - 163*k + 5 = -4*h + 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 3*b + 5*b + b - 14*b + 29. Let m be k(8). Which is greater: -2\/5 or m?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -v**3 + 10*v**2 + v + 7. What is h(10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n - 49*n - 83*n + 1918 = 0. Let s = 84 - 60. Let x = s - n. Is x > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-21*q + 36*q - 18*q)*(-5 + 2 + 1) + q - 66 - 3*q + 48.\nAnswer: 4*q - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -22*r - 11 + 3 + 8. Let n(h) = 11*h**2. What is n(l(d))?\nAnswer: 5324*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-3564)\/180)\/((-1)\/5). What is the greatest common factor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1761 - -3339. What are the prime factors of v?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -133*w + 399. Let a be o(3). Which is bigger: -3\/1100 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 4, f: 4, a: 3, y: 9}. Give prob of picking 1 m, 2 y, and 1 f.\nAnswer: 192\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -118, -174, -120, 98, 534, 1242, 2276, 3690?\nAnswer: 5538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 2 (b) 901192 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000588 to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/(10*4\/80)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -z - 69. Let k(l) = -l - 69. Calculate -3*k(w) + 4*y(w).\nAnswer: -w - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 376 is divided by (2520\/(-8))\/(-5)*(-6 + 192\/28).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1290, -2262, -3234?\nAnswer: -4206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 293 minutes before 1:46 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -0.8*-25\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -r**2 + 0*r**2 + 5*r**3 - 2*r + r + 2*r**2 to c*r + t + w*r**3 + k*r**2 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*h - 38 - 12 - 29 = 2*l, h - 4*h - 76*l - 197 = 0 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express -5*b - 11*b + 5*b - 1 as j + d*b and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -341360*a**3 - 1044290*a**3 - 124130*a**3.\nAnswer: -1509780*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 983*m - 984*m = 4*d + 11, -d - 4*d = -4*m - 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1422048139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o and 2 l when four letters picked without replacement from lllllllloo?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 10001010101011010 (base 2) to base 5\nAnswer: 4233002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = r - 3*r + 942. Let g = -466 + r. Suppose 5*l - 2 = -17, i - 1 = -l. Sort g, i, 0.7.\nAnswer: 0.7, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (240\/(-117) + 2)\/(2\/(-6))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) 1.1 (c) 26\/33 (d) 1\/43 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) be the third derivative of 1527*m**6\/40 + 311*m**5\/12 + m**4\/24 - 5216*m**2. Find the third derivative of f(g) wrt g.\nAnswer: 27486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*p + p - p)*(3*p + p - p - 2).\nAnswer: -6*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 186337 is divided by 770?\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1 + 3550?\nAnswer: 3548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-28 - 2)\/(-14 + 12). Solve -i = -6*k + k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 11892*j + 164 = -2*y + 11887*j, 18*j + 576 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l - 3*c - 1 = 0, -5*l = -4*c - 25 + 3. Let p be (l + -5)*40\/(-12). Let m = -7 + p. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*t - s + 2, -2*t - 2*s + 4 = -0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 + 8 + 3 + -11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 - 5*q - 5*q - 54*q)*(-q + q - q) to the form u*q + m*q**2 + d and give m.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2163?\nAnswer: 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -114659, -221973, -329285, -436595?\nAnswer: -543903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 + 5 - 7) + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -104.16097 times 12?\nAnswer: -1249.93164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = 16 - 35. Let x = k + 2. Let t = -16.999956 - x. Round t to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find g such that -5*g**2 + 117525*g + 117530 = 0.\nAnswer: -1, 23506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22678.\nAnswer: 2, 17, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h*(h*h\/h**3*h)\/h*h*h*h*h)**23*h*h\/((h\/(h\/(h*h**(-7)*h)))\/h*h)*h**(-2\/3)\/h)**8 assuming h is positive.\nAnswer: h**(2336\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b - k + 264 = k, 132 = b + 5*k. Let z = -31 + 35. What is the greatest common factor of z and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m = -p + 579, 2*p + 3*p + 5 = 0. Let d = 42 - m. Suppose -11 = 3*s - d. Calculate the remainder when s is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = -5*g - 5493 + 26364, 0 = 5*g + 3*z - 20881. Suppose 2*l - 2*x - 2098 = 0, -4*l - 6*x + g = -3*x. Does 60 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4 + 13. Let f(d) = 3*d - 24. Calculate the remainder when 6 + -1 + 3\/(-3) is divided by f(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 148676 + 5?\nAnswer: 148681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -108 divided by -36?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -3869, -2, -6\/5 in ascending order.\nAnswer: -3869, -2, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 132 is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**(-7\/2)*a)\/a*a)**(3\/14) assuming a is positive.\nAnswer: a**(-15\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-238)\/357*(-6)\/4*-2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 2*w + 2. Suppose 0 = -6*p + 2*p + 116. Suppose -4*y + p = -3. What is the remainder when 35 is divided by v(y)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 21 = 4*z + 43, -z - 5*q = 14. Sort 1, z, -1, -3, -11.\nAnswer: -11, z, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -21887 - -36762. Let o = i + -10374. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-168)\/(-177) + -1)*-7. Let g = b - 1647\/649. Find the common denominator of g and 53\/(-24)*2*(-3)\/2.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 203 and 49.\nAnswer: 1421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -290, -579, -868, -1157, -1446?\n\"Answer: -289*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Are 0.0498 and 763 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) be the first derivative of -x**3\/3 + 2*x**2 + 49*x + 39. Determine n(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 5*i*k*v**2 + i*k*v + 27*i*v**2 - 3*i*v - 94*k*v wrt v?\nAnswer: 10*i*k + 54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4988 + 11136. What are the prime factors of w?\nAnswer: 2, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.2635 + -896.4635. Round u to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Convert 0.5828639 days to seconds.\nAnswer: 50359.44096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -9, 2, -2, -0.3, 3\/148 in increasing order.\nAnswer: -9, -2, -0.3, 3\/148, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1b9 + -a0379?\nAnswer: -a0554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -15*n + 48. Let m(f) be the third derivative of f**4\/3 - 25*f**3\/6 + 4*f**2 - 10. Let q(x) = 11*m(x) + 6*y(x). Let p(h) = 2*h. Calculate p(q(t)).\nAnswer: -4*t + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (4 + 1 - 3)*(-g**3 + g**3 + g**3) - 1 - 6*g**3 + 1 + 3 - 3 + g**3 in the form f*g + x*g**3 + l*g**2 + u and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 18c + -2c?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 0.14*-9144792\nAnswer: -1280270.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*f + 123 = 4*k + 135, k + 68 = 14*f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1 + (-54)\/1)\/(2\/(-4)). Suppose 2210 - r = 10*h. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -5 - -5. Let n = o - -2. What is the greatest common divisor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -12054, -24095, -36142, -48201, -60278?\n\"Answer: -u**3 + 3*u**2 - 12043*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 2*t + 9. Calculate the remainder when 33 is divided by i(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*v = 25*v - 16. Let l be (76\/(-16))\/(v\/688) + 3. Suppose 0 = -0*j + 2*j + o - 329, -5*o + l = 5*j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + 1*(-1*(sqrt(320) - (sqrt(320)*-2 - sqrt(320))) + -5 + 2*(1 + sqrt(320)) + (sqrt(320) - ((-1 + sqrt(320) + sqrt(320))*3 - sqrt(320))) + 2)**2.\nAnswer: -192*sqrt(5) + 11529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -114202*b**2 + 77852 with respect to b.\nAnswer: -228404*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 8890 - 8829. Solve m*f + 54 + 7 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -629, -1, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide (4 - 9)\/((-21990)\/(-7335) - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 = -7*b + 69. What is the remainder when b is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 14\/63 - (-2)\/(-9). Solve 5*s = -3*q - 26 + 6, 2*q + s + 4 = b for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -617 = -180*n - 15800 - 837. Which is bigger: n or 3\/58?\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5060 and 6145876?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eymyyytmytyyytme. Give prob of sequence tmm.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 22*v + 310. What is y(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide -1327139 by -7097.\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 120111012 (base 3) in base 9?\nAnswer: 16435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*g**5 + 4*g**4 - 4*g**4 + (-3 + 3 + 2*g)*(-4*g**4 + 3*g**4 - g**4) + g**2 - g**2 - 2*g**5 - g**2 + 6*g**2 + 4*g**5 - 3*g**2 - 1 + 1 - g**5.\nAnswer: -5*g**5 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -11605, -11536, -11493, -11488, -11533, -11640?\nAnswer: -11821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 1089*0.5\nAnswer: 544.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 4 divided by 260\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -66 = -209*q + 207*q. Calculate the highest common factor of 44 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 13*x**2 - 5*x - 33. List the prime factors of m(-5).\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 plus -757?\nAnswer: -757.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/(d\/d**(-11)))\/d*d**(-4\/5)\/d*d**(2\/33)\/d*d**(-8\/5)\/d*d)**(-38) assuming d is positive.\nAnswer: d**(102448\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6*1\/(-12)*83280\/1041?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 2, e: 4, d: 2, t: 1, f: 2, u: 6}. What is prob of sequence efuf?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r = 17 + -19. Let u(l) = -l**3 - 7*l**2 - 2*l - 10. Let g be u(-7). Put g, 11, r in decreasing order.\nAnswer: 11, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 18*c - 11*c**2 + 69 + 11*c**2 - 4 + c**2. Let f be d(-13). Sort -8, f, 2 in descending order.\nAnswer: 2, f, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*h - 3*q + 55080, -q = h - 3*q + 18361. Let d = -3388 - h. Suppose -5*o = -16*o + d. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 49\/171 and -47\/15?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 8 - 18 + 12*r + 6 + 11 to the form k + u*r and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i = 9*i - 1710. Let o = 180 - i. Calculate the remainder when 89 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -10444130011 (base 5) to base 9.\nAnswer: -24024474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = s**2 + s - 9. Let p be o(-4). Solve 2*y - 2*l = -2, -p*y - l - 1 = -2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22549.\nAnswer: 22549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = l**3 - 27*l**2 + 13*l + 306. Determine w(26).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 72 - (-130 - (27 + -294)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -52 + (-26 - (-35786)\/464).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = l**2 + 2*l + 1. Let o be t(-4). Suppose 0 = 2*a - p - 2*p - o, a - 1 = 5*p. Suppose a = 2*n + n. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-63)\/126*2\/(2\/(-2)). Let r = -2 - -5. Suppose 0 = 4*u - c + 49 - 57, 0 = -4*u - 5*c + 8. Solve r - p = u*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 123*m + 0 - 77*m)*(2 - 3 + 2).\nAnswer: 46*m - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-16)\/(-328) - 1152\/3444.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 460 a factor of 231587028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 61 divided by 8?\nAnswer: 61\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.033 and -0.51447.\nAnswer: 0.01697751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fffxflfxgfffxfghf. What is prob of sequence hxxx?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -0.3 (b) -0.041 (c) 0 (d) 96\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 7, -11.\nAnswer: -11, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2705 divided by -541.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c = -658 + 383. Let d = 281 + c. Solve d*t + 4 = 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*q + 18 + 17. Let z(p) = 3*p**2 - 79*p + 0*p**2 + 41*p - 44 + 45*p. Is 19 a factor of z(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1)\/(2\/(-5140)) - -3. Let c = 7943\/3 - f. Let g = c - 74. Sort -0.4, g, -4.\nAnswer: -4, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 10544573 and 255.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*s - 3*s - 200*s**2.\nAnswer: -200*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 1252*o + 6*o**2 - 5 - 30 + o**3 - 1310*o. Let d be b(-11). Let z(p) = -6*p**2 + 5*p - 4. Let y(c) = -5*c**2 + 4*c - 3. Determine d*z(l) + 3*y(l).\nAnswer: -3*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (63*m**3 + 3*m**4 - 63*m**3)*((2 - 2 + 30)*(5 - 5 + 2) - 4 - 2 + 4).\nAnswer: 174*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = y**2 - 3*y + 3*y. Suppose 0 = -n + 2*z + 5, 4*z - 2 = 2*n + 6*z. Let p(b) = 7*b**2 - b - 2. What is n*p(v) - 6*o(v)?\nAnswer: v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*d + 35 = 1270*w - 1272*w, -2*w + 35 = 5*d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5930 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 11.3291302 and -0.98?\nAnswer: 12.3091302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -1c (base 16) in base 7?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -t**3 + 9*t**2 - 92*t + 770. Let y be d(9). Which is the nearest to -1? (a) -5 (b) y (c) 0.024\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1872) + sqrt(1872) + sqrt(1872) + 1 + 1 - (sqrt(1872)*-1 + sqrt(1872) + -4))**2*3.\nAnswer: 1296*sqrt(13) + 50652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 2, a: 4}. What is prob of picking 2 a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f be (3 + 2 + -6)\/((-2)\/12). Solve -f + 1 = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-1\/3))**(-7)\/(k**(-1\/6)*k*k*k**(-3\/2)*k)*k*(k\/k**3*k)\/k*k\/k**(-2)*(k\/k**(-1))\/(k\/k**0) assuming k is positive.\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2545622 - -12225000904784\/4802363. Let o = -15209083429\/461026848 + y. Let r = 1225\/32 + o. Calculate the common denominator of r and -23\/33.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.516 - 0.249. Let o = 1.243 + y. Let p = o - -17.39. What is p rounded to 0 decimal places?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 95428?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 16555 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c and 1 p when three letters picked without replacement from wwcpwnpwnnncnnwnnw.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) be the third derivative of 143*c**7\/210 + 11*c**5\/15 + c**4\/24 - 38*c**2 - c. What is the third derivative of y(q) wrt q?\nAnswer: 3432*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 - ((-5 - (-2 + 2)) + (61 - 46))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mnndddn. Give prob of picking 2 n.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 3020\/8 - 9\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 15*b**3 + 199*b**2 + 38*b - 57. Let m(h) = 5*h**3 + 66*h**2 + 12*h - 18. Let d(w) = -6*c(w) + 19*m(w). Factor d(v).\nAnswer: 5*v**2*(v + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 114, 5 in increasing order.\nAnswer: -2, 5, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = 7*j - 2. List the prime factors of o(6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 3, u: 2, s: 7}. What is prob of sequence iui?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 22*h - 27*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out 1226 * 869.\nAnswer: 1065394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (sqrt(7) - (sqrt(42)\/sqrt(864) - sqrt(7))).\nAnswer: -1 + 23*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.0693 - -77.7307. Let w = a + -77.799255. Round w to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) be the second derivative of f**3\/2 - 6*f**2 - 4*f. Let g be y(6). Solve -g = -2*i - i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:19 PM and 7:33 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -7*o**3 + 5*o**2 + 310*o + 309. Give q(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -6*i**3 - 3*i**2 + 2*i - 14. Let r be b(-4). Suppose 0 = h - r + 266. Calculate the highest common divisor of h and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 29, 47, 65, 83?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = -60 + 130. Let p be (-8)\/2 + o\/8 + -5. Let v = -0.3 - 0.2. Sort -0.4, p, v in descending order.\nAnswer: p, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-15)\/30 - 13\/2. What are the prime factors of (h*3\/12)\/(2\/(-8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) be the first derivative of -z**7\/420 + z**4\/24 + z**3 - 3. Let v(n) be the third derivative of l(n). Find the first derivative of v(q) wrt q.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 8485 + -7537.1. Is j at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.04 * 632.0581\nAnswer: 25.282324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w be 101 - 3 - 40\/10. What is the highest common factor of 1 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*g - 3*g - 11. Suppose 0 = 2*t - 0*t + 12. Let a = g + t. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.2*0.06.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-4)\/5 - (-2064)\/30. Suppose -4*k - z - 3*z + s = 0, 0 = 2*z + 6. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -7227.2 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 413603 (base 8) to base 4\nAnswer: 201132003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 83, 2, -15\/58?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 55 is divided by 2*-10*(-9)\/12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-12 - 59*y + 12 - 2*y**2 + (4*y + 23*y - 3*y)*(0*y + 4*y - 6*y))*(2 + 2*y**2 - 2).\nAnswer: -100*y**4 - 118*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4 + 18. Let a be n + -1*(-1 + -1). Let r = -15 + 23. Calculate the highest common factor of a and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -41721 - -41722. Let p = -12 - -33. Calculate the remainder when p is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 266\/1255 - 3\/251. Let v(l) = l**3 + 3*l**2 - l - 3. Let o be v(-3). Determine y so that -q*y**3 + o - 1\/5*y**2 + 1\/5*y + 1\/5*y**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 445670, 1782707, 4011104, 7130861, 11141978, 16044455?\n\"Answer: 445680*v**2 - 3*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -52366, -52227, -52088?\n\"Answer: 139*a - 52505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -50*s**2 - 49*s**2 + 293*s + 95*s**2 - 293*s. Let d(z) = 2*z**2 + 103. Give f(d(n)).\nAnswer: -16*n**4 - 1648*n**2 - 42436","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -164*t + 63*t + 945 + 487*t wrt t.\nAnswer: 386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -993 + 3733. Suppose b = 4*i - 4*z, 2*i - 2055 = -i + 5*z. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -5 + 19. Let b(w) = -w**3 + 14*w**2 - 2*w + 25. Let i be b(d). Let t be ((-75)\/10)\/(i\/(-4)). Does t = -68\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.1 * 0.289\nAnswer: -0.0289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 404*t - 112. Let j be k(13). Suppose -17*w - 3*w = -j. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 18672.5 milligrams?\nAnswer: 18672500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q, 1 g, and 2 y when four letters picked without replacement from ggdyqdyugyggdydqquug.\nAnswer: 36\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*w**4\/3 - 13786*w**3 + 112301*w**2\/3 - 15764*w - 23644\/3 = 0. What is w?\nAnswer: -5911, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 85*(-96)\/(-320)*2\/3.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3913977.\nAnswer: 3, 1304659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -23*y = -59*y - 252 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from emllf. What is prob of sequence mf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = -14 - -38. What is the greatest common factor of 3 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 17076 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 82*c**3 + 3 - 22*c**2 + 18*c**2 - 83*c**3 - c to the form m*c + u*c**2 + w + h*c**3 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -z - 2. Let n be -12*z\/(-6)*-3. Suppose -156 = -n*b + 30. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 19823 and 77486?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 48 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 412*r - 17001. Calculate g(41).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 441933 is divided by 78.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor y**3 - 874*y**2 + 153425*y + 17147500.\nAnswer: (y - 475)**2*(y + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c = 5 + -5. Let v be (-38)\/5 + 4\/(-10) - (-3892188)\/486722. Which is smaller: v or c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4*(-7)\/98*(-5)\/((-1110)\/42)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3635368239.14 + 3635368393.139999617. Let h = -154 + t. Round h to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -107278*u**3*v**3 + u**2 - 3*u*v**2 - 635*v**3 - 2*v wrt u.\nAnswer: -643668*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-36)\/108)\/((-2)\/(-12)). Let q(v) = 14*v**3 - 2*v**2 - 2*v + 5. Let j(b) = 7*b**3 - b**2 - b + 2. Determine y*q(a) + 5*j(a).\nAnswer: 7*a**3 - a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -g**2 + 12*g + 4. Let u be m(12). Suppose -u*i - 2 = 5*f - 4, -1 = i + 2*f. Suppose -i*p - 346 + 1225 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 163013 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b be -2 - 6\/4*-4. Let m be (-3)\/135 - b\/(-18). Do m and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**(-12)\/(h**(5\/8)*h) assuming h is positive.\nAnswer: h**(-109\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*s = -5*s - 140. Let j = s + -37. What are the prime factors of 20\/8*(-76)\/j?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.09567 - -11.90433. What is the nearest to -33 in k, -1\/5, 1\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 2958 * -111.\nAnswer: -328338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = 130 + -28. Let b = 101.9921 - a. What is b rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 times 7968?\nAnswer: 47808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -57*h. What is the tens digit of m(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 96 is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2 or -574147?\nAnswer: -574147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.2739 - -1.7836. Round x to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/1895699 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -3218530 divided by -229895?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19800 = 12*l + 18*l. Calculate the remainder when l is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is a6a0 (base 11) in base 3?\nAnswer: 201101221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/(-46))\/((-26)\/5382*-54)*8\/18.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = 10*c**2 - 6*c - 4. What is the tens digit of u(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 2, u: 3, g: 2, c: 4}. What is prob of picking 1 g and 1 n?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-8)\/d**(3\/5)*(d\/(d**(5\/3)*d))**(-9\/7))**3 assuming d is positive.\nAnswer: d**(-678\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express (2*i + 3 - 3 + (-4*i - i + 3*i)*(-220 + 99 - 141))*(-1 + 1 - 1) in the form o*i + m and give o.\nAnswer: -526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -27*n + 22*n + 152*h = -25*h - 6*h - 338, -3*h - 3 = 0 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 251 minutes before 9:20 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 244 minutes before 1:48 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-4 - -1) + 7\/((-28)\/(-20)). Put 5, -1, -4, r in decreasing order.\nAnswer: 5, r, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -7*u**3 - 5*u - 4. Let g(w) = 4*w**3 + 3*w + 2. Let i = 6 - 1. Let l(b) = i*g(b) + 3*x(b). What is the first derivative of l(c) wrt c?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -10*t - 159*t + t**3 + t**3 + 3*t**3 + 0*t**3 - t**3 + (-t + t + 2*t**2)*(-t + 4*t - t) - t + t**3 + t.\nAnswer: 9*t**3 - 169*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = d + 2*v, -2*d + 3*v - 12 = -0*d. Let i(k) = -26*k - 12. Let y be i(-12). Let r = y - 5102\/17. Is r bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 2*z - l = -9838, 39354 = 4*z + 2*l. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 656 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -3*s + 3*d - 2*d, 2*s = 2*d - 2. Suppose -2*y - 3*y = -20. What is the second derivative of w**3 - w**s + w + y*w**5 - 2*w wrt w?\nAnswer: 80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3 + 6*x - 21*x - 3 in the form j + d*x and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 350146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -y + 3. Let c be j(9). Suppose 5*o = -4*t - 28, 0 = 4*o + 5*t - 11 + 37. Let i be 0 - (0 + -3)\/(c\/o). Solve 0 = -v - 1 + i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.46 - -28.54. Let d = t - 34.5. Let g = -0.5 - d. What is the third smallest value in g, 0.4, 1\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 361168.299861 + -361168. Let z = -0.3 + u. Round z to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = -440 + 450. Let a(s) = -s + 6. Let h be a(10). Let o(w) = -w**3 - 3*w**2 + 3*w - 1. Let x be o(h). Sort x, f, -1, -3.\nAnswer: -3, -1, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-3\/4)*t\/t**(1\/5))\/(t*t**(-9)*t\/(t\/(t**(-3\/4)\/t))) assuming t is positive.\nAnswer: t**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-138)\/320 - ((-108)\/20 - -5). Is i at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 14) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = v**3 + 4*v**2 + 2*v + 7. Let n be r(-3). Solve 2*j = 4*f + 4*j, n = -f + 2*j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 207 and 184.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*r**4 - 1 + 26*r - 23*r + 2*r**4 to l*r + n*r**3 + t + q*r**4 + g*r**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 6 and 6542.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 5}. Give prob of sequence ddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4525, -9035, -13543, -18055, -22577, -27115, -31675?\nAnswer: -36263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1279 = -4*c - n, -c + 328 = -39*n + 42*n. What are the prime factors of c?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 978.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = -5 - -11. Let m = -1021.8 - -1022. Put 1\/4, -3, b, m in decreasing order.\nAnswer: b, 1\/4, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -16 (base 11) in base 15?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 + 4*m - 5)*(205*m**2 + 255*m**2 + 1137 - 1137).\nAnswer: 1840*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m be 39\/9*3 + -5. Let k be 2 + (-114)\/(-12) - (-5)\/(-10). Solve m*p - 29 = k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-i**2 + 3*i**2 - i**2)*(-3 - 1 + 5)*(i - 4*i - i).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 398844 divided by 33237?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 89\/8710 and 91\/2010.\nAnswer: 26130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -71*l + 5085. Let i(c) = 94*c - 5084. Determine 4*b(v) + 3*i(v).\nAnswer: -2*v + 5088","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3.03747 + 0.03747. Which is the third biggest value? (a) r (b) 3\/7 (c) 5 (d) 3 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 98 and 833?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -15198 or -151993\/10?\nAnswer: -15198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = -42 - -52. Suppose 0 = -4*u + 2*u + m. Suppose u*h - 5*k = -170, -20 + 140 = -4*h - 4*k. Which is smaller: -33 or h?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*f**3 + 2612*f - 4 + 4 - 2728*f.\nAnswer: -2*f**3 - 116*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 358.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = -4*b - 2*m, -2*b + 3*m + m - 14 = 0. Let c = 9 + b. Suppose 0*p = -c*p + 4. Is 1 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -3*y**3 + 8*y**2 - 5. Let p be i(4). Let c = p + 71. Solve -h = c, -3*v - 5*h = -0*h + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1010110011111 (base 2) in base 11?\nAnswer: -4182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = -241 + 961\/4. Which is the closest to 1\/2? (a) 0.35 (b) m (c) 19 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 - 7*k + 3 - 2)*(2*k**3 - 3*k**3 + 2*k**3).\nAnswer: -7*k**4 - 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2247362 is divided by 251.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*j - 1170 + 851 = 0 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -32 - -28. Let a be (-2)\/(-1*(11 + r)). What is the closest to 0.1 in -2\/7, -1\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11564 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 3041814365?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve m + 3*z + 24 - 23 = 0, 10*m = 6*m + 2*z + 24 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*z - 5*z + z + (2*z + z - z)*(0 + 0 + 1) + 0*z + 2*z + z - 26*z - 2*z + z + 2*z - 4*z - 3*z to the form q + s*z and give s.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -2372 (base 13) in base 3?\nAnswer: -20211222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is ((-14)\/(-14))\/(-1 + 5)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (6\/(-8))\/((-1)\/4). Let l(v) = 4*v**2 + 5*v + 3. Let p(m) = 7*m**2 + 8*m + 4. Let d(o) = -5*l(o) + 3*p(o). What are the prime factors of d(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5*5*299\/(-65)*(156\/65)\/3.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1777253 a multiple of 921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 26037 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 23336, 23337, 23338, 23339, 23340, 23341?\nAnswer: 23342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/4? (a) -31\/4 (b) -1\/9 (c) -3 (d) -67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -2190415266 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 46, 89, 132?\n\"Answer: 43*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*s + 64 = -15*s - 5*i, -2*i + 2 = -3*s. Let g(j) = 11*j + 2. Let h(o) = -22*o - 3. What is s*h(x) - 10*g(x)?\nAnswer: 22*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) be the second derivative of -7*n**3\/6 + n - 1. Let c(p) = 10*p. What is o(c(s))?\nAnswer: -70*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/3 in -1, -0.8, 4599922?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 857913.6 millilitres to litres.\nAnswer: 857.9136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 13082677789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find v such that -v**4 - 41*v**3 + 42*v**2 = 0.\nAnswer: -42, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out 0 * 62.6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f be (5 - (-2 + 6)) + -148. Let n = f - -268. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 12, 0.5, -32\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -3940*g + 108143 = -216352 - 183765 for g.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2950408 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 60839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) be the third derivative of h**8\/504 - 2*h**7\/15 + 13*h**6\/60 + 41*h**5\/45 + 408*h**2. Find p, given that w(p) = 0.\nAnswer: -1, 0, 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 358364 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -m**2 - 8*m + 2. Let b be t(-8). Suppose b*q - 5 = 5. Factor -s**3 - s**3 + s**q + 2*s**2 + s**5 - 2*s**4.\nAnswer: 2*s**2*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -456*c + 645*c - 2314 - 4490 for c.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -78.2 + 78. What is the nearest to d in -3, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 79\/82308 and 79\/228.\nAnswer: 82308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) -4 (c) -210\/17 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -508 - -567. Let x = 23 + -36. Let b = 33 + x. Calculate the remainder when u is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.4 and -717.7?\nAnswer: 287.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -3524, -4180, -4824, -5450, -6052, -6624, -7160?\n\"Answer: r**3 - 663*r - 2862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 41\/45 or 2?\nAnswer: 41\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -158, -164, -160, -140, -98?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 29756 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 8 and 60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*a + a + 3*m + 19, -4*a + 14 = -2*m. Suppose 0 = a*i - 4*u - 25 + 1, 2*i = -2*u. Suppose -12 = -i*v + v. Solve -s = v*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand a**2 + a - a + (0 + 3 - 5)*(a**2 - 5*a**2 + 3*a**2) + 1 - 4*a**2 + 3*a**2 - 8*a**2.\nAnswer: -6*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b = 7523.9371451 + -7466.93711. Let l = b + -57. Round l to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = q**3 - 2*q**2 + 1. Let a(g) = 7*g**3 - 13*g**2 + 7. Let b(v) = -6*a(v) + 39*t(v). Differentiate b(c) with respect to c.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 24059 is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in -473, -2172, -5885, -12332, -22233, -36308, -55277?\nAnswer: -79860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/(((-2044)\/(-2184))\/73).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify d\/d**11*d\/d**(-27) assuming d is positive.\nAnswer: d**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -17 (b) 4 (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oiff when four letters picked without replacement from {u: 2, y: 5, o: 6, f: 2, i: 1, r: 3}.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -13 (base 7) to base 15\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 168203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2870, 5746, 8622, 11498, 14374, 17250?\nAnswer: 20126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3033\/2 - 1558. Find the common denominator of 23\/2124 and j.\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 8\/135?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uv when two letters picked without replacement from {v: 2, x: 8, t: 1, u: 7}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 2175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:33 AM and 9:16 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 27\/4 of a microgram in nanograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let -2*r**2 - 3212*r - 1289618 = 0. What is r?\nAnswer: -803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f be (165\/(-2))\/15 - -4. Put 3\/16, -1, -0.2, f in ascending order.\nAnswer: f, -1, -0.2, 3\/16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-72)\/(-6) - (-25 + 33). Let p(l) be the second derivative of 1\/4*l**b + 15\/2*l**2 + 3*l**3 + 10*l + 0. What is j in p(j) = 0?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 11\/2380 and 139\/1428.\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.35 + -0.35. Which is the third smallest value? (a) -3 (b) n (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 + (-3 - (1 + -4 - 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12 + ((-52)\/5434)\/(18\/22590).\nAnswer: -2\/209","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -133*p**3 - p + 13?\nAnswer: -798*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is ((-96)\/(-32))\/(-21)*-5?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7*(-36)\/(-42) + 5 + -11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 4, s: 15}. Give prob of sequence ssgg.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -p**2 + 23*p + 17. Let f be v(24). Find the common denominator of -5\/18 and (109\/(-18))\/(f\/(-7)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -7\/6*h**2 + 59\/6*h - 35\/3.\nAnswer: -(h - 7)*(7*h - 10)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-264)\/(-40))\/(-11))\/(((-9)\/(-3))\/15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -223040401 + -2?\nAnswer: -223040403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express (-449 + 901 - 253*j - 451)*(j + 2*j - j) as m + w*j**2 + v*j and give w.\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express 8*x**3 + 16*x**3 + x**2 - 24*x**3 - 2 + 3*x**4 as d*x**3 + n*x**2 + y*x + o + m*x**4 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*f + f + 0*f)*(-3 + 0 + 2) + (-f + 5*f + f)*(0 - 3 + 4) + 0*f - 3*f + f - 6*f + 0*f - 3*f to g + l*f and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 2*y**3 - 25*y**2 + 11*y + 14. Let p be h(12). Let s be 9\/((-135)\/10)*-3. Let u(x) = x**s - 2*x**p + 16*x - 16*x. Let n(i) = 26*i. What is n(u(k))?\nAnswer: -26*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12 - (8 + (-5 - 8)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v**0)**(5\/6)\/(v**(-1\/4)*v**(-8)*v))**(-6) assuming v is positive.\nAnswer: v**(-97\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 14383 less than 0.48?\nAnswer: -14382.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 4*g = -g - 2175, 0 = -4*g - 16. Let l = -2883\/4 - d. Find the common denominator of l and 31\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 33550 divided by -10?\nAnswer: -3355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) be the first derivative of 79*o**3\/3 + 6*o**2 - 20*o + 31. Let g be y(12). What is g rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 0.3, -4, 10\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 2941623957 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 121872 and 396084.\nAnswer: 1584336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ndn when three letters picked without replacement from {n: 5, d: 5, s: 3}?\nAnswer: 25\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*((sqrt(208) + 1 + -3 - 2*(sqrt(208) + -1)) + -5*-2*sqrt(208) + sqrt(208) + 1 + -2)*-1)**2.\nAnswer: -2880*sqrt(13) + 748836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = 5*f - 2315, 2*d - 521 = -5*f + 1789. What is f rounded to the nearest ten?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 86721.\nAnswer: 3, 137, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*r + 106 = -62. Let z = 24 - r. Is 447 + -1*(0 - z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 15 = 2*d, -2*p + 22 = 2*d. Let n(l) = -l + 4. What is the lowest common multiple of p and n(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2610 = 78*p - 136*p. Which is smaller: -30 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 140, 6, 5, -8, -5 in decreasing order.\nAnswer: 140, 6, 5, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2613820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -7*h. Let b = -4 - -3. Let d be a(b). Solve 3 = -5*p - d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -5687 - -17776. List the prime factors of d.\nAnswer: 7, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s + 28 - 92 = 0. Is 137*(s\/28)\/((-10)\/(-35)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Let i(x) = x**2 - 8*x - 6. What is i(7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 2\/5, -5, 56473709?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -l + 6. Let s be z(5). Let t be 3 - 17\/5 - s\/35. Which is the third biggest value? (a) -0.4 (b) t (c) -2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2377.626 hours in days?\nAnswer: 99.06775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -679274, -1358549, -2037824?\n\"Answer: -679275*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -20428, -20402, -20352, -20278, -20180, -20058, -19912?\nAnswer: -19742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2230 - 2226. Let f = 15.1 + -17. Let s = f + 2.4. What is the nearest to 1\/3 in s, r, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-3)\/7 - ((-204)\/28)\/3. Suppose -4*p - v*p = -4038. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 1 - 10 - f**2 + f**4 + 3*f - 35*f**3 - f + 11 as y*f**2 + z*f**4 + w*f**3 + l + c*f and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -15204212 (base 6) to base 8\nAnswer: -2012460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -48 - 44?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 6460 less than -6?\nAnswer: -6466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 88 = -20*w - 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -401*k**3 + 247 + 399*k**3 + 66 + 22.\nAnswer: -2*k**3 + 335","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a = 4*a + 304. Let m be a\/1 - (4 + -6). What is m rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 278*v + 1460 with respect to v.\nAnswer: 278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w be -1026*((-8)\/(-20))\/((-6)\/10). Let s be w\/45 - (-1)\/(-5). Solve 0 = 5*y + 5*b - s, 4*y - b = 2*b - 23 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:08 AM and 2:31 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3445*n + 581 + 2534*n + 587 - 1168.\nAnswer: 5979*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 8760563 and 931?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: ((-175)\/840)\/(((-2)\/(-1))\/8)*1\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 20 (base 6) to base 13.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -102245205 divided by 3\nAnswer: -34081735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 44, 0.5, -2, 8420\/139.\nAnswer: -2, 0.5, 44, 8420\/139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-w + 0*w + 3*w)*(0*w**4 + 2*w**4 + w**4) + (-6*w**3 + 3*w**3 - 5*w**3)*(-2*w**2 + w**2 + 0*w**2).\nAnswer: 14*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 1, k: 1, x: 9, m: 6}. Give prob of sequence mck.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c be 30 - 0 - (1 - (-2 + 6)). Let w = c + -54. Let y = w + 26. What is the remainder when 13 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -6606 + 24062?\nAnswer: 14153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 30450000 rounded to the nearest one million?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*sqrt(156))\/sqrt(12) - ((sqrt(13) - ((sqrt(13) - -4*sqrt(13)) + sqrt(13))) + -1))*-5 + 3*(sqrt(468) + -1 + -1 + sqrt(1053)).\nAnswer: -11 + 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 39 = -0. Let y = 82 + -44. Calculate the remainder when y is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000068308 rounded to seven dps?\nAnswer: -0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*i + 4*j - 179, -3*j = i - 6*j + 27. Let y = i - -86. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3521 divided by 19.\nAnswer: -3521\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a minute in seconds?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -7565*h**2 - 233 wrt h.\nAnswer: -15130*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 4, -0.3, 0.12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 4*v - 20. Let c be x(5). Suppose t = -o + 3 - c, -3*o - 6 = 0. Solve -m - 5 = 2*p, -m = -t*p - 11 + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 2*x. Let k(t) = 19*t. Let d(r) = 3*r. Suppose 0 = -h + 2*g, 0*g = 5*h + 2*g + 36. Let s(c) = h*k(c) + 39*d(c). Determine m(s(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 5 + -21?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) be the second derivative of 9*c**5\/20 + c**4 - c**3\/2 - 3*c**2 - 37*c. Find l such that m(l) = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -6*w**2 - 1235*w + 8603. Give a(7).\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 3266341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/92*(-4)\/(-2). Let q = k + -41\/115. Which is bigger: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 7.17 + -0.17. Let t = v - 6.9999875. What is t rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 374*-54898.\nAnswer: -20531852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*z**3\/7 + 86*z**2\/7 - 60*z\/7 - 144.\nAnswer: -2*(z - 42)*(z - 4)*(z + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.1637 - 3.\nAnswer: -2.8363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (70\/8)\/((-10)\/16)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = k**3 - 4*k**2 - 17*k + 43. Let a be p(6). Let l(g) be the third derivative of -a*g**2 - 1\/24*g**4 + 0*g**3 + 0*g + 0. Calculate l(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5903 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*x = -209*z + 204*z + 15, 27 = 5*x - 2*z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 6696 and 8451.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zzyzvvwdzzvwvddhwd. What is prob of sequence wyv?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -r**3 + 41*r**2 - 58*r - 88. What is the units digit of c(36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 10010 (base 2) to base 16\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -44902, -90166, -135430?\n\"Answer: -45264*f + 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 2, j: 8}. Give prob of picking 2 n.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 127 minutes before 1:48 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -q**3 - 10*q**2 + q + 16. Let y be i(-13). Suppose -5*u = 2*t - y, -4*t + 2*t = 10. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 27 and 81776301.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -822 + 873. Let v(q) = 23*q**2 - 3*q - 2. Let f be v(-2). Let o = f - b. Does 15 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 1, g: 1, v: 1}. Give prob of sequence vwg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 0.9445189 years?\nAnswer: 0.0009445189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -13144 + -24231?\nAnswer: -42430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -2*f**3 - f**2 + 4*f + 4. Let i be l(-2). What is the tens digit of 748\/i*2 + (-1 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yucc when four letters picked without replacement from yucucyyyuuuucycucu?\nAnswer: 5\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in -0.35, -3\/10, 1, 2\/3, -0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 714676.\nAnswer: 2, 29, 61, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -5a7c3 (base 14) to base 7\nAnswer: -1610333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d - 20 = -15*d. Suppose 1 = 5*g - 4*g, -2*i + 2*g = -8. Let w(j) = -7*j**2 - 7 + d + i*j**2. Let b(c) = -3*c**2 - 6. Give -5*b(x) + 6*w(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 817110 and 894930?\nAnswer: 18793530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 496 and 6845792?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-382)\/(-8) - 9\/(-36). Suppose 2*q - 58 = -n. Solve 0 = -q*b - 5, 4*y + 0*b - b = -19 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -215781*z**2 + 56602*z**2 - 910918*z**2 - 36579*z**2.\nAnswer: -1106676*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/v**(6\/13))\/v**(7\/5) assuming v is positive.\nAnswer: v**(-56\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*t + 8*t + 2*n + 27 = 31*t, 0 = -5*t + n + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = s**3 - 3*s**2 + s + 1. Let j = -9 - -31. Let i = j + -19. List the prime factors of t(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 22 and -324.\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 187, 786, 1787, 3196, 5019, 7262, 9931, 13032?\n\"Answer: x**3 + 195*x**2 + 7*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = o**3 + 14*o**2 + 17*o + 33. What is i(-13)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -39 + -27. Let i = s + 70. Let z = 1 + 1. What is the closest to 1 in i, 6\/5, z?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 33*c + 1. Let m(z) = -50*z - 2. Let t(g) = -7*f(g) - 5*m(g). Let l(i) = -20*i - 4. Calculate 3*l(k) + 4*t(k).\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 3*v**2. Let x = -9 - -14. Suppose 11 - 1 = x*w. Let y(d) = 6 - 5 - 1 - w*d**2. Calculate y(l(k)).\nAnswer: -18*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:05 AM and 5:30 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 20, 0, -56, -166, -348, -620, -1000, -1506?\nAnswer: -2156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32 = 5*n - 4*q, q - 26 = -n - 2*n. Let j = n + -4. Solve 2*d + c = 5, -j*d = -5*d + 4*c + 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -11 - -8. Let k be 0\/((4\/o - -2)*-3). Let c(j) = -j**2 + j + 10. Is c(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 0*i + 192 = 0. Suppose 0 = -5*p + 3*k + i, 9*k - 26 = -2*p + 4*k. Calculate the lowest common multiple of 22 and p.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -k**2 - 5*k + 5. Suppose -5*y - 15 = 0, -a - 11*y = -14*y - 12. Suppose -28 = 3*c - 2*t, 0 = a*c + 3*t + 2*t + 14. Calculate m(c).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) be the third derivative of 0 - 1\/3*u**4 + 0*u + 2*u**3 + 70*u**2 - 1\/60*u**5. Calculate x(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = c**3 - 9*c**2 + 8*c + 5. Suppose -3*y - y - 28 = -u, -27 = -4*u - y. Let g be h(u). Put -2, g, 2 in increasing order.\nAnswer: -2, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -s**2 + 40*s + 7. What is u(31)?\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1486, 1354, 1220, 1084, 946, 806?\nAnswer: 664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rffrzlmmkzrmz. Give prob of sequence fm.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = 4.09 + -0.09. Suppose 1222 = 329*w + 282*w. What is the third biggest value in z, w, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = g + 2. Let o be y(0). Let f be (-8)\/(-20)*o\/(-4). Let j = -8 - -4. Which is the nearest to 1? (a) j (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in 2\/9, 0.6, 0.02762, 0.4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = 2*x**2 - 4. What is the smallest common multiple of q(-3) and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 3 - -1a2?\nAnswer: 1a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3456 and 504.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = p**3 - 4*p**2 + 3*p - 2. Suppose 0 = 2*y - f - 3*f + 10, -5*y - f - 69 = 0. Let b(i) = -i**3 - 12*i**2 + 14*i + 16. Let q be b(y). What is d(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (1 + sqrt(11) + 1 + 1)**2.\nAnswer: 15 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 161, -2148, 0 in decreasing order.\nAnswer: 161, 0, -2148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*p + 5*p + 48 = p for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 52, -21, 3, -3, 4, -54 in ascending order.\nAnswer: -54, -21, -3, 3, 4, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y = -113\/3 - -37. Let l = 329 + -321. Is y < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 262*c**3 + c - 258*c**3 - c.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:16 PM and 7:19 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 163875?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -579, -5, 0, 1, -30, -1 in increasing order.\nAnswer: -579, -30, -5, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2 + sqrt(175)*-1)*1*5)**2 + 2 + 1.\nAnswer: 500*sqrt(7) + 4478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3062218*h**3*q**3 + 8*h**3*q + 3*h**2*q**4 + 2*h**2*q - h**2 + 8*h*q**2 - 44*h*q + 423*q**2 wrt q.\nAnswer: 18373308*h**3 + 72*h**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -940212\/437 or -2153?\nAnswer: -940212\/437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose u = -2*h + 5, -4*h + u = -2*u - 15. Suppose 0 = q - 2, 6 = -5*g + 5*q - 9. Let r = g + h. Sort r, 5, -4.\nAnswer: -4, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is r in r**4\/5 - 248*r**3\/5 - 254*r**2\/5 + 1248*r\/5 - 747\/5 = 0?\nAnswer: -3, 1, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 28450.1 nanometers in micrometers?\nAnswer: 28.4501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.02462996048 rounded to 4 decimal places?\nAnswer: -0.0246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dd when two letters picked without replacement from dwwdwdd?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = 12*i - 8. Is u(9) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + k = 129, -137 = -3*c - 3*k - 245. Let r(b) = -39*b**3 + 11*b**2 - 11. Let o(s) = -8*s**3 + 2*s**2 - 2. What is c*o(l) + 6*r(l)?\nAnswer: 30*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-4\/7)*x**(-14))**41 assuming x is positive.\nAnswer: x**(-4182\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - 327 = 5*m, 0 = 2*h + 3*m - 91 - 108. Which is smaller: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 0*q + 344 = 0. List the prime factors of q.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/7, 55, 0.3, 4, -23.\nAnswer: -23, -3\/7, 0.3, 4, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 80 = 2*x + 3*x. Suppose 3*b + x = 4*u + 60, -b + 13 = -3*u. Calculate the greatest common factor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aar when three letters picked without replacement from {a: 2, r: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0001068481 rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 238572581*w**2. Let t(r) = r. Give t(z(y)).\nAnswer: 238572581*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = -79 - -468. Suppose -k + n = 37. Is k\/2 - ((2 - 0) + -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 - (-6 + 21 - 14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 118171855 - 6?\nAnswer: 118171848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (6 - -4) + -14 - 57\/(-14)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 5 and 375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -2*x - 3. Let b be (-6)\/10 + 206\/10. Let m = b - 26. Determine j(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 160 - 45. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 40, 242, 688, 1462, 2648?\nAnswer: 4330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1405 is divided by 321.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-15)\/(-10))\/(-1 - 13\/(-10)). Calculate the least common multiple of g\/(-45)*3 - (-37)\/3 and 86.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -16636*f + 16635*f = 3*u - 1, -2*u = f + 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -z**2 - 2117*z - 929016.\nAnswer: -(z + 621)*(z + 1496)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i be 40\/(-25) + (-3)\/(-5). What is the nearest to i in 2, 1\/3, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 0.02539 and -0.352.\nAnswer: -0.32661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = 507761.05999912 - 507745.06. Let q = y + -16. Round q to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve y - 2*y + 2 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = -2*i + 963 + 251, -2432 = -4*i - 3*n. Calculate the highest common divisor of i and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 300304 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = f**2 - f - 3. Let y be d(4). Let a(h) = h**3 - h**3 - y*h + 4*h**3. Let u(g) = g**3 + 2*g**2 - 2*g**2 - 2*g. Give 2*a(w) - 9*u(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 41606666 and 189576?\nAnswer: 5266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = k**3 + 6*k**2 + 7*k + 7. Let d be w(-5). Let q(c) = -c**3 - 2*c**2 + 2*c - 2. Let r(j) = -j**2 + j - 1. What is d*q(p) + 6*r(p)?\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 27063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 6366207 divided by 16199?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q**(2\/11))**40*(q\/(q**7\/q*q))\/q*q**(3\/5))**(-49))**18 assuming q is positive.\nAnswer: q**(-42336\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2, -2\/21, 13, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n = -40.53 + 50.334. Let f = n + 0.196. Are 5 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 154*i**2 - 5. What is the units digit of t(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29*j + 9 = -26*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(121) + 1*sqrt(121))*-1 + sqrt(121))\/sqrt(11).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n = 22 - -5. Suppose -3*d = -p + 15 - 36, 4*d + 5*p = 28. Suppose -n = -h - d. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) be the first derivative of a**2 + 5. Calculate d(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 181632490 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = j**3 + 5*j**2 - j - 2. Let a be l(-5). Solve 2*v = -a*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh smallest value in 293144, 0.3, 2\/11, 0.05, -0.1, -1\/2, -0.3?\nAnswer: 293144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b = 2*b + 3. Suppose l + 1 = 4*x, 0 = -3*l - 0*x - b*x - 3. Let u be (4 - l)*2\/1. Calculate the highest common factor of 25 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 0 + -351?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -f**3 + 10*f**2 - 11*f + 19. Let o be p(9). Which is smaller: o or -1\/60?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 0, 0.1, 2\/17 in descending order.\nAnswer: 2\/17, 0.1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 11, t: 2, l: 4, z: 2}. What is prob of picking 1 l and 1 z?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**11*i*i**3 assuming i is positive.\nAnswer: i**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -4*v. Let r be l(5). Let m be 184\/10 + 8\/r. Find the common denominator of 6\/7 and m\/(-14)*(5 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 36 - 34. Suppose -10*g + 64 = -o*g. Solve -12 = -2*q - 5*d + g, -4*q + 14 = -3*d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 297471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 1166442 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 20, 40, 60?\n\"Answer: 20*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 8.75558ml?\nAnswer: 0.00875558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 3*t + 24. Let d be n(-7). Let j be (1 + (3 - 3))\/1 + d. Suppose 2 = 2*r + 3*p - 44, 0 = r - 2*p - 9. Solve -j*w - r = -1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = g - 1. Let i be f(4). Suppose 4 = 2*h, 0 = l - 3*h + i - 0. Let n be (-140)\/(-12) + (-2)\/l. Solve -4 - n = -5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -r**3 - 6*r**2 - 9*r - 26. Give l(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3007?\nAnswer: 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q be (0*(-2)\/6)\/(-1). Suppose h - 5*h = 0, q = -3*k + h + 9. Suppose 0 = 2*c + 2*z + k*z - 42, 0 = 5*z. Solve 1 = 4*j + c for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.006463 rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 2*d**3 - 26*d - 113. Determine u(-4).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1245266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = 6411 - 6406. Sort 0, -28, j, 3 in decreasing order.\nAnswer: j, 3, 0, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 290\/(-120)*(-6)\/(-2). Is s greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*(sqrt(75) + -2*sqrt(75) + 4 + sqrt(75)))**2 - (sqrt(4356)*-2 - sqrt(4356))\/((sqrt(12) + sqrt(36)\/sqrt(3))*3))*-3.\nAnswer: -1200 - 33*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 8 = -2*v - 5*r, -3*v = 2*r - 41. Suppose 7*o = 3*o + 128. Calculate the remainder when o is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + 2 + sqrt(700) + -3*(-1 + sqrt(700) - sqrt(700)))**2.\nAnswer: 40*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 145*o - 1 + 2.\nAnswer: -145*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = 10 - 10. Put -3\/4, b, 2 in ascending order.\nAnswer: -3\/4, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 3*y + 37 = -107, -5*y = -3*n + 156. Solve 0 = 14*i + n*i - 112 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -3d6 - -164e?\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = 210.87 + -210. Let g = 0.87352 - t. Round g to 4 decimal places.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2956307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 2*f = 5*f - 25, 19 = 2*j + 3*f. Suppose -j*m + 25 = 3*m. Let p be ((-1008)\/9)\/16 + (4 - -5). Solve p*q = m*q + 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -b**3 + 8*b**2 - 10*b + 15. Let p be t(7). Let r be (-3)\/(-2)*(-776)\/p. Let u = r - 11. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 15 - 8. Suppose -3*w - 5*r + r - g = 0, -2*w - 3*r - 6 = 0. Let f = 5 - w. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16464632 (base 8) in base 4?\nAnswer: 32212212122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -7*d - 655. Let r(f) = 2*f. What is r(g(p))?\nAnswer: -14*p - 1310","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-68)\/48 - 3\/(-4). Let u = 11.26 + -0.26. Let c = -9 + u. What is the nearest to q in -0.1, -2\/5, c?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -14\/9 or -35402?\nAnswer: -35402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.1752821 millimeters to micrometers.\nAnswer: 175.2821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -17 - 83. Let z = r + 148. Is z a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-3)\/1)\/(-171))\/((-163)\/978).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -5135, -3, -30 in ascending order.\nAnswer: -5135, -30, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 969*c = 984*c - 42765. List the prime factors of c.\nAnswer: 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3 - 2. Let a = o - -5. Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gnzgvzzgngznfgzfgz. What is prob of picking 1 n, 1 v, and 2 z?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aa when two letters picked without replacement from {l: 1, f: 2, b: 1, a: 2, c: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/37 or -1\/114?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -6990.6 to the nearest 100.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1774642.\nAnswer: 2, 337, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (37 - (20 + -5)) + -24?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 27213985, 27213980, 27213975, 27213970?\n\"Answer: -5*m + 27213990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 266784 to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*n**3 + 2*n**2 - 2*n + 5*n + 6 - 2 to x + s*n**2 + r*n**3 + v*n and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -3*p**3 - 84*p**2 - 74*p + 50. What is the thousands digit of l(-31)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 16905 and 1071.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in one twentieth of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1504280 is divided by 614?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 1, o: 3, i: 6, r: 5}. What is prob of picking 1 r, 1 i, and 1 o?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 291843 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1 - -1. Suppose a*m = -2, -10595 - 5909 = 3*p + 4*m. Round p to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -h**2 - 2*h + 1. Let d = -2 - -4. Suppose -8 = 2*s + d*s. Let g be m(s). Put -4, 0, g in decreasing order.\nAnswer: g, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 328394.4 to the nearest 100.\nAnswer: 328400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l = -57.3 + 57. Let s = 11 + -10. Let h = s + -0.5. Which is the third biggest value? (a) l (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -2*q**3 + q**2 + q - 2. Let c be f(-2). Solve -1 + 0 = -2*y + 3*j, -2*y = 2*j - c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -53 (b) -2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 5, k: 4, h: 2, o: 2, f: 4}. What is prob of sequence khko?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(4*sqrt(612) + 2 - sqrt(612)).\nAnswer: 12 + 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*l + 3*l + 2*l**2 - l**3 + 0*l**3 to the form p*l**3 + n + m*l + k*l**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 847?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: ((-93)\/(16740\/(-1584)))\/(32\/10)\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine g, given that -17150*g**5 + 9604*g**4 + 15862*g**3 - 9620*g**2 + 1288*g + 16 = 0.\nAnswer: -1, -2\/175, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = 24746 - 224*b - 24746. Let m(y) = -2*y. Give m(n(g)).\nAnswer: 448*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve y - 6 = -5*t, 3*y + 14 = -2*y - 3*t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1201220021 + 2441?\nAnswer: 1201223012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = 57\/2 + -27. Let x be (-7 - -1)*((-247)\/78 - -3). What is the nearest to -1\/4 in 0.5, x, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is g in -2*g**4\/3 + 16223828*g**3\/3 - 32901671714522*g**2\/3 + 131606102800856*g - 394817724345624 = 0?\nAnswer: 6, 4055951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 7 = -358. Calculate the remainder when c*((-4)\/(-6) - 1) is divided by (19 + -17)*1*(-14)\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 164 - 165.92. Let y = -5.92 - q. Which is the third biggest value? (a) -3\/5 (b) -8 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 3*s - 3834 = -0*s, -6*s + 2540 = 2*r. What are the prime factors of r?\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4 + 1 + sqrt(6912))**2 - (sqrt(6912) + sqrt(6912) + 2 + 0))*2 + 0.\nAnswer: -768*sqrt(3) + 13838","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -2*u + 28. Let s be y(0). Let z = -27 + s. Let a(t) = 2*t**3. Give a(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -61 - 621?\nAnswer: -702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 48771967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand -m**2 + m**3 + m**2 + (m**3 - m + m)*(-55 - 3 + 23) + 3 + m**3 - 3.\nAnswer: -33*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 170 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + -2*(-4 + sqrt(1377) + -4*sqrt(1377)*4)*5*4 + -3)**2.\nAnswer: 1728000*sqrt(17) + 495745600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-1)\/(-3)*0 - 0. Suppose w = -4*c - 3*s + 19, -4*c - s = 4*s - 21. Solve 3*d = 2*d + c for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = l**3 - 6*l**2 + 2. Let b be t(6). Let k be b\/(-4)*6\/3. Let w be (-3 - 347)*k*40. What is w rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 555263 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -0.5, 143, -4, 15?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (x + 2*x**4 - x)*(-31*x + 7 - 7*x - 5).\nAnswer: -76*x**5 + 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b = -15730847867781638 + 15730847801742247.62900151. Let i = b + 66039390. Let a = i + 0.371. What is a rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(448) - (sqrt(448) + (sqrt(448) - (sqrt(448) + -2*(1 + sqrt(448)) + sqrt(448)))**2)) - ((0 + sqrt(448))*-3 - (2 + sqrt(448)*2)**2).\nAnswer: 248*sqrt(7) + 4056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand 26*s**3 - 167*s + 167*s + (-9 + 9 - s)*(-2*s + 4*s**2 + 2*s).\nAnswer: 22*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 32 a factor of 1017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u + 974 - 1013 = 0. What is the second biggest value in 1, u, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.001200667802 to 5 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 - 7 - (-31 - (21 - 56))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/8 + (-171)\/(-36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 192 = 3*v. What is the remainder when 70 is divided by v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*u**2 + u**2 + 0*u**2 + 3 - 3 - 16*u**2 + (-1 - 2 + 4)*(u**2 - 2*u**2 + 2*u**2).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -1 times 9.5?\nAnswer: -9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t be -1 - -7 - (1 - -2). Let f be 27\/(-9)*4\/(-6). Solve 3*l - l + 6 = f*d, -d = -t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2800) + sqrt(2800) + -2*sqrt(2800))\/sqrt(4) - (-4 + (-2 + sqrt(847) - sqrt(847))))**2*2*4.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 2271446 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1036*f**3 - 120082 + 1039*f**3 + 60046 + 60036.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = 40.4384 + 0.6716. Let z = 7.99 + i. Let r = z - 49.1000251. What is r rounded to 6 decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 3 = -16. Suppose y*l = 11*l + 552. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4 - -4.2. Let r = g + 0.1. Let z = -352 + 703\/2. What is the third smallest value in r, z, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 60 = -6*s - 2*u, -171 = 3*s + 2*u - 117 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-4)\/6*(-165)\/22. Suppose r + 5*s = 22, w*s - 1 = 2*r + 15. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 134800542.\nAnswer: 2, 3, 191, 39209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 138160098 and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -4.941684 + -0.058616. Let f = 5 + o. What is f rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 43847.46 micrometers?\nAnswer: 4.384746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1799 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 45 and -4183034?\nAnswer: -188236530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-9)\/(252\/(-16))*2*21. Solve -19 = -o - k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, 33, 2 in decreasing order.\nAnswer: 33, 7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q be (207\/(-24))\/(-3) + -6 + 3. Which is the second smallest value? (a) -0.9 (b) -1\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-2)\/(-6) + (-30)\/(-18). Let v(g) = g + 2. Let o be v(-5). Which is the nearest to z? (a) -0.4 (b) o (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1 + 2. Let k(x) = x**2 - 1. Let d be k(-2). Suppose -j = o + 3, -5*j + 1 = -3*o - 0. Sort d, t, j.\nAnswer: j, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 62 + 2965*r - 62.\nAnswer: 2965*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -43*f + 944362 = -82994. What are the prime factors of f?\nAnswer: 2, 3, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -y - 5. Let b be a(-6). Let c be (13 - (1 - 3))\/b. Suppose 3*l + 3*h - c = 0, -2*h + 29 + 2 = 5*l. Does 2 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (1 - 22)*(-2)\/6. What is the highest common divisor of w and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 + (2 - 8) + (-2 - -4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 13 - 501712?\nAnswer: -501699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*y - 24 = 5*w, -2*y + 38 = -3*y - 6*w for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + -17 + 14 - (0 + -11) - -69 - 10.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 281431, -8 in increasing order.\nAnswer: -8, -2, 281431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = -13 - -17. Suppose 0 = s*n - 7*n - 6. Let i be ((-28)\/(-8))\/((-1)\/n). Calculate the greatest common divisor of i and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 54852 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: b\"What is the th term of -240833, -241151, -241469, -241787, -242105, -242423?\n\"Answer: -318*b - 240515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i = r - 3*r + 40, 107 = 5*r + 4*i. Let l = r + -18. Suppose l*y - 30 = 25. Calculate the highest common divisor of 88 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 1, o: 1, w: 1, q: 5, n: 7, y: 4}. Give prob of sequence ywy.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 459\/35? (a) -3\/2 (b) -4 (c) 2\/5 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -1074*f = -1131*f - 513 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 427099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = s**2 - 2. Let g be (10 + -15)\/(15\/6). Determine w(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 369221 and 13303.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = 8 + 112277*t - 112277*t + 6*t**2 - t**3. Let o = 1 + -3. Let n be 4*1*(-3)\/o. What is w(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -1360 (base 10) to base 5\nAnswer: -20420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4399985*s**4 - 356*s**2 + 1222*s.\nAnswer: -105599640*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = 0*o**3 - 5*o**3 + 7*o**4 + 11*o**5 - o**5 - 5*o. Let m(w) = -w**5 - w**4 + w**3 + w. Let c(z) = k(z) + 5*m(z). Solve c(q) = 0 for q.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 356, -1, 4, 3, 10 in descending order.\nAnswer: 356, 10, 4, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -10*4\/16*-1.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 364 and 240513.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1255695 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find q, given that 0*q + 1\/2*q**4 + 0*q**2 - 1\/6*q**5 + 2\/3*q**3 + 0 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19 = 4*z - 5*r, 9 = -4*r - 3. Let b = -584 + 287. Let t = 2373\/8 + b. Are z and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -141 or 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 40 divide 129807480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express -n**4 + 6*n - 2 - 12*n - 2*n**2 + 4*n + 2*n**4 as m*n**2 + q + v*n**3 + t*n**4 + l*n and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z + 17336 = 2*b, -3*z - 9461 + 837 = -b. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) be the second derivative of s**8\/336 - s**5\/30 - 3*s**2\/2 + s. Let o(m) be the first derivative of q(m). Find the third derivative of o(i) wrt i.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -1533 divided by 13\nAnswer: -1533\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Total of 391 and -1.\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.26 - -0.844. What is u rounded to two dps?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -6\/41209 and 40\/5374831.\nAnswer: 37623817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 6358, 12721, 19084, 25447, 31810?\n\"Answer: 6363*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.75 - 0.25. What is the third smallest value in 0.2, q, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9492 is divided by 4576?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -43*b = -21*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = 49 + -48.6. What is the nearest to 0 in c, -4, 8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 17 - 11. Let f = -57.6 - -64. Let g = f - q. Put -5, -3\/8, g in descending order.\nAnswer: g, -3\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0022186 to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-11811)\/93)\/508)\/((-5)\/(-92)*(-3)\/30).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be -158*((-4)\/8 - 0). Let c = -46 + y. Solve 5*g + 0*o + c = 4*o, -7 = g - o for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -38, -26, -6, 22, 58?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*((-1*sqrt(504))\/sqrt(9))\/((sqrt(72) - (sqrt(72)*2 + sqrt(72))) + sqrt(8)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 132352.7 nanograms in grams?\nAnswer: 0.0001323527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -86 - -90. Suppose 4*o - 66 = -d, -j*d + 6*o - 2*o = -264. Is d a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 298723183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -142632 divided by 4\nAnswer: -35658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor m**5 - 5*m**4 + 6*m**3 + 2*m**2 - 7*m + 3.\nAnswer: (m - 3)*(m - 1)**3*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 5 = 13. What is the units digit of 4\/2 + r - -75?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1.5 + -0.5. Suppose -4*n + 0*m = m - 10, 3*m - 6 = 0. Suppose -3*i - j = 4*j - 5, j = -n*i + 1. What is the smallest value in -0.1, i, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -123330114 to the nearest 100000.\nAnswer: -123300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 61\/216 and ((-927)\/(-132))\/(189\/14).\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 4, p: 3, c: 3, s: 2, d: 1, b: 3}. What is prob of sequence cn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = 67049\/22 - 3045. Calculate the common denominator of 111\/14 and w.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:49 AM and 8:47 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 4362970 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) be the third derivative of 18*x**2 - 17\/120*x**6 + 0*x**4 + 0 + 0*x + 0*x**5 - 13\/6*x**3. Differentiate q(f) wrt f.\nAnswer: -51*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(sqrt(1573)*-2 + 5) + 3)**2 - (sqrt(1573) + -1)*1*6*-5.\nAnswer: -6798*sqrt(13) + 227211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10100000 + 1101001000011011?\nAnswer: 1101001010111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 49\/4529592 and -37\/36.\nAnswer: 4529592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 3\/209074?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -56331 divided by 2\nAnswer: -56331\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let 3*h**4\/5 + 3429*h**3 + 171201*h**2\/5 + 290979*h\/5 + 27384 = 0. What is h?\nAnswer: -5705, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*n - 4*w - 12 = 0, 248 - 264 = -4*w for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 89\/1155640 and 83\/400?\nAnswer: 11556400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5493 + -3900. Suppose -3*n - 2*j + 7*j = -967, -5*n - j = -s. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 5, 12, 9, 1, 4 in ascending order.\nAnswer: -5, 1, 4, 5, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 286 and 4180?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-153)\/180 + (-21)\/(-210). Put -0.1, 8.5, b in ascending order.\nAnswer: b, -0.1, 8.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 0.2 (b) -1\/5 (c) -2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -282 = 9*x - 15*x. Let z = -35 + x. What is the second derivative of 5*h**4 + z*h - 415 + 415 wrt h?\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Let o = 1225871\/10 + -122123. Let a = o + -466. Calculate the common denominator of a and -71\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = g**3 + 2*g**2 - g + 6. Let j be y(-3). Let w(b) be the second derivative of j*b**2 + 0 + 0*b**3 - 1\/6*b**4 + 3*b. Let k(l) = 10*l. Give w(k(h)).\nAnswer: -200*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*c - 2*c - 13*c)*(0 + 2*c**2 - 4 + 0*c**2).\nAnswer: -38*c**3 + 76*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 0.4766 * 0.4\nAnswer: 0.19064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = s - 4*s + 3*b, -47*s + 50*s - 14 = -4*b for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -5024684, -10049366, -15074048, -20098730?\n\"Answer: -5024682*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 4, r: 6, w: 1, u: 8, q: 1}. Give prob of picking 3 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -118, -106, -94, -82, -70?\n\"Answer: 12*l - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -2*l - 1. Suppose y - 3*y = -8. Determine z(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 379 divide 1538422078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand k + 0 + 0 + 0 - k + 0 - 2*k - 2*k + 3*k + (-3 + 0 + 1)*(-k - 3*k + 5*k) + 3*k - 2*k - 3*k + (-k - 2*k - k)*(4 - 3 + 3).\nAnswer: -21*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1 - -1011111111001110010?\nAnswer: 1011111111001110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 88871905?\nAnswer: 5, 181, 283, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 6219963 to the power of 1\/2, to the nearest integer?\nAnswer: 2494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 1901*-3*(-1)\/(-6)*-2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (6\/(-8))\/(12\/672*7) + 78. Solve i*n = 70*n - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 605286 and 26206642.\nAnswer: 707579334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 780042 or 780040?\nAnswer: 780042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 421960077?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v = -5, 6*j + 4*v = j + 11. Solve -2*c - 3*g = 8, j*c + 2 + 10 = -5*g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-4)\/(-16) + (-2)\/8. Suppose -3*u - 14 + 77 = p. What is the highest common divisor of u and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = 21*v - 3. Let u(n) = n. Let g(a) = -j(a) - 3*u(a). Let w be g(-2). Let z = w - -156. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 54 and 1453437.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -208 - -988773912.\nAnswer: 988773704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*s**2\/8 + 3*s - 21\/8.\nAnswer: -3*(s - 7)*(s - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*v + 0*v - v**3 + 3*v**3 + 0*v**3 - 4*v**3 + 0*v**3 + 4*v**3 - 5*v**3 + (2 + 0 - 3)*(-2*v**3 + v**3 + 3*v**3) - 104*v**3 + 62*v**3 + 67*v**3.\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3265 + 13068. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 868, 3395, 7632, 13585, 21260, 30663, 41800?\nAnswer: 54677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from iddiddidddiiiiddidi. Give prob of picking 3 d and 1 i.\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27 + 23 = -5*d. Let k be ((-15)\/d)\/((-2)\/(-4)). Suppose x - 281 = -k*g - 8, -5*x - 182 = -2*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 5313014 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b = 4*i - i + 82, 0 = 5*b + 3*i + 104. Let p be -6 + (-5)\/(-40)*8*-17. Which is smaller: p or b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 13*x**2 + 5*x + 4. Determine r(-2).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 749386 is divided by 1484?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -a**3 - 10*a**2 - 11*a - 9. Let q be z(-9). Calculate the greatest common factor of 6 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44\/13*k**2 - 16\/13*k**3 - 2*k - 4\/13 = 0. What is k?\nAnswer: -2, -1\/2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*z + b + 30, -z + 26 = 3*z - 3*b. Suppose z*s - 9 - 31 = 0. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1486315 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -5408\/19 or -99?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d = -69449.140399 + 0.140399. Let v = 69374.062 + d. Let x = 75 + v. Round x to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4875075847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4099689?\nAnswer: 3, 11, 41411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 2*l**3 + 18*l**2 - 5. Let y(j) = -j**3 - 17*j**2 + j + 4. Let t(s) = -2*p(s) - 3*y(s). Let n be t(6). Let c = 426 - n. List the prime factors of c.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 51952 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1006\/7 - -144. Let d = 707\/5 - 141. Which is the closest to d? (a) x (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 k and 1 t when three letters picked without replacement from {o: 1, h: 2, t: 1, k: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1458659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/5, -1, 1, -4\/5, 0, -542 in descending order.\nAnswer: 1, 0, -2\/5, -4\/5, -1, -542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -72*-0.6.\nAnswer: 43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z - 4*q + 6*q = -19, -2*q + 8 = 4*z. What is the smallest common multiple of 4*((-40)\/(-18) - 14\/63) and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(26)\/sqrt(18) + sqrt(91)\/(sqrt(21)\/sqrt(3)) + -3.\nAnswer: -3 + 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -682 plus 0.018?\nAnswer: -681.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 186253 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: Which is the closest to 57? (a) -0.1 (b) 1\/3 (c) 14 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 4586526047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 32 (base 8) to base 5\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-24)\/15*(-10)\/4. What is the highest common divisor of 16 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 56276 and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 2048*z + 2049*z + 2.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 1 d when two letters picked without replacement from ddgggggggggg?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let 0 - 16\/9*k**4 - 16\/3*k**2 + 76\/9*k**3 + 0*k = 0. What is k?\nAnswer: 0, 3\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 66\/10*10\/(-4)*(-20)\/10. Calculate the highest common factor of 9075 and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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 is 163981 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 5*h = 6*h - 18. Suppose 6 = 4*r - h. What is the lowest common multiple of 35\/6 + 3\/18 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + 4 = 8. Let f be j\/16*4\/2. Let h be 2*3\/(-30)*-1. Which is the third smallest value? (a) f (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -221 - -252. Calculate the smallest common multiple of p and 1.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 less than or equal to -12\/26911?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 4}. What is prob of picking 3 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -2\/5 (b) -6\/5 (c) -1\/5 (d) -11537\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -22 - 11 + 30 - 9*m - 158 - 178 to the form u*m + x and give x.\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-614640)\/(-288))\/(-197)*-6?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((1729\/(-39))\/19)\/((-112)\/(-1440))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 0 - -53516a?\nAnswer: 53516a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = -9 - -9.3. Let t = f - -0.2. Let g = t + -0.6. Which is the closest to -3? (a) 0.5 (b) g (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1850055239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*k + 46 - 38 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1249 - 464. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 8 + 0. Differentiate 28 + r*o - 27 + 2*o with respect to o.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 + 5 = -2*h + 3*o, 19 = -2*h + o. Let m(n) = n**3 + 7*n**2 + 4*n + 2. Let c be m(-3). Let s = c + h. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1197628?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 100*o**2 - 3*o**4 - 9*o**3 + 80*o**3 + 32*o**2 - 11*o**3 = 0 for o.\nAnswer: -2, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) be the second derivative of a**4\/12 - 13810*a. Let l(j) = -3040*j. What is l(b(m))?\nAnswer: -3040*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -11045 + -2263?\nAnswer: -13318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q be (6 - 2)\/2 + 2. Suppose q*p - 24 = f + f, 3*f - 24 = -4*p. Let y be ((-8)\/12)\/(4\/p). Which is greater: y or -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*o**3 - 2 + 0 + 2.\nAnswer: -11*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n be 30\/9 - 40\/30. Let k(a) be the first derivative of 4 + 16\/3*a - 4*a**n + 4\/3*a**3 - 1\/6*a**4. What is z in k(z) = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 22012133 (base 6) to base 11\nAnswer: 4080a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-87)\/(-1) - (-40399439)\/(-464435)?\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (151 - (-105747)\/(-707))\/(5\/(-168))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -449 + 243. Let r = 198 + w. Which is the nearest to 1? (a) -2 (b) 2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1406132, 5624545, 12655234, 22498199, 35153440, 50620957?\nAnswer: 68900750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 10150, 20366, 30570, 40756, 50918, 61050, 71146?\n\"Answer: -a**3 + 10223*a - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*p**2 - 77367744*p + 498813984304128.\nAnswer: 3*(p - 12894624)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*l**4\/15 - 38*l**2\/15 + 4*l.\nAnswer: 2*l*(l - 3)*(l - 2)*(l + 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -40*i**2 + 199*i + 276. Calculate o(9).\nAnswer: -1173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 227 - (-4 + (0 - (-1 - -1)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = 6*y - 4*y. Suppose -2*m - t + 4*t = -y, -m + t = -8. Suppose m = -0*q + 3*q. Calculate the highest common factor of 44 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 31 - 26. Suppose k - 101029 = g*t - 7101049, -14000012 = 2*k - 3*t. What is k rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-three thirds of a century in months?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(6\/19)*t*t**(-1\/13)*t assuming t is positive.\nAnswer: t**(553\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*g + 14395 = -f + 14413, 2*f = 5*g + 37 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = k**3 + 2*k**2 - 5*k - 3. Let v be h(-3). Suppose p + 2*c - c - 1 = 0, -3 - 1 = c. Solve -17 = -v*n - q, 23 = p*n + 3*q - 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*r + 10*r + 3 = z, -2*z - 4 = -2*r. Let w(h) = -h**2 - 8*h - 7. Let q be w(z). Which is the nearest to q? (a) -1 (b) 3 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) 4\/3 (b) 2\/9 (c) 1 (d) -4\/119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 526 + -5798\/11. Let j = 1706 - 1706.5. Which is the smallest value? (a) 1 (b) l (c) j (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i*i**(-4\/5)*i*i**(2\/7)\/i)\/((i\/i**(1\/2)*i)\/i**(-2\/21))*((i**(-5)\/i)\/(i**(1\/4)\/i))**43 assuming i is positive.\nAnswer: i**(-95281\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 14239 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -10*l**2 - 115*l + 112. Calculate g(-9).\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -0*k + 2*k. Let y = -15 - k. What is the tens digit of 4\/2 + (-105)\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -46584 by -1941.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 66 = 4*v + 2*y, 209*y - 212*y = 4*v - 63. Solve v = -35*t - 157 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 227116 (base 11) to base 9.\nAnswer: 608872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*u + 4*q - 12, 396*q - 400*q + 8 = 4 - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 670 to the nearest ten.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = t**3 + 8*t**2 - 21*t + 12. Determine u(-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 135.4 + -149. Let r = n - 4.4. What is the second smallest value in 0.3, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) be the third derivative of s**8\/1120 + s**6\/720 + 2*s**5\/15 + 13*s**2. Let m(u) be the third derivative of y(u). Give m(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) be the second derivative of 2187*k**7\/91 + 15066*k**6\/65 + 18468*k**5\/65 + 1992*k**4\/13 + 1744*k**3\/39 + 96*k**2\/13 + 17*k - 4. Factor p(z).\nAnswer: 2*(z + 6)*(9*z + 2)**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 8*o**2 + 8*o + 1. What is the tens digit of b(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 192*w - 190*w - 4 = 0. Let l(c) be the first derivative of 8 + 5\/2*c**w + 0*c**3 + 11\/4*c**4 + 0*c. Find the second derivative of l(s) wrt s.\nAnswer: 66*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -33\/72382765 and -97\/187096.\nAnswer: 579062120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**(-4)*w*w\/(((w\/(w*w**14))\/w)\/w) assuming w is positive.\nAnswer: w**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + 3*a - 20 = 0, g + a = -2*g - 41. Let w be (3 + -1)\/((-1)\/g). Let k = 39 - w. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 12, 152223, -4 in ascending order.\nAnswer: -4, 12, 152223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = -19 - -20.5. Let g = -1.8 + p. What is the smallest value in -4, -6, g?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3453?\nAnswer: 3, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Subtract -568.583 from 482.\nAnswer: 1050.583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 6\/135 + (-12)\/20 and 19\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -15 divided by -1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor -6*a**2 - 9*a + 42*a - 12*a**3 + 36 + 9*a**3.\nAnswer: -3*(a - 3)*(a + 1)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 7328235 and 160180.\nAnswer: 29312940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 11*s - 9*s - v - 515, -3*s + 800 = 4*v. Does 70 divide ((-105)\/10)\/((-3)\/s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -1255254 by 143.\nAnswer: -8778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 24608, 49229, 73860, 98501, 123152, 147813?\nAnswer: 172484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(-4*sqrt(288)*-4 + 5 - (-6*(sqrt(2) + sqrt(162))**2 + sqrt(14)\/sqrt(63))).\nAnswer: -7230 - 1150*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = s**3 + 8*s**2 - 2*s - 8. What is the hundreds digit of k(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1 + -9. Let x = -7 - v. Suppose 5*r - 23 = -2*q, -17 + x = -2*r + 4*q. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find b, given that -116*b**2 - 944896*b - 1563648 = 0.\nAnswer: -8144, -48\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -q**3 + 3*q**2 + 6*q - 5. Suppose 2*f = 2*r + 18, -2*f - f = 2*r - 2. List the prime factors of b(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -10 - -10. Let z(p) be the first derivative of -p**2 + 0*p + 3 + x*p**3 - 1\/4*p**4. What is the second derivative of z(t) wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 8381 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 68328, 136655, 204982, 273309, 341636?\nAnswer: 409963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = 472*p**2 + 2*p + 1. Let g be z(-1). List the prime factors of ((-24)\/8)\/((-9)\/g).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -364*x + 741*x = 447*x + 7770 for x.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = n + 6. Let i(m) = m - 1. Let z(f) = i(f) + r(f). Let t be z(-5). Let o be (-2)\/5 + (-2)\/t. Solve 2*p - 5*p + 3 = o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4283221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-96 - 15) + 125 - 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) be the third derivative of g**6\/180 - 23*g**3\/3 + 36*g**2. Let f(b) be the first derivative of z(b). Let r(q) = -58*q. What is r(f(i))?\nAnswer: -116*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4093, -8056, -12013, -15958, -19885, -23788, -27661?\nAnswer: -31498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3\/2 (b) -0.5 (c) -1261334\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 1 k when two letters picked without replacement from kffhxfsfx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -2 minus 84416523?\nAnswer: -84416525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 206 a factor of 946342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) be the second derivative of -c**4\/6 - 290*c. Let j(y) = -485*y**2. Give j(u(x)).\nAnswer: -1940*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 12 = 28. Suppose -d - 2*d - o*y = -5, -3*y = -2*d + 9. What is the units digit of 14\/6 + 2\/d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 141 minutes after 8:37 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -2*i. Let d(a) be the second derivative of a**4\/4 - 4*a. Calculate n(d(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -558187, -1116709, -1675195, -2233627, -2791987, -3350257?\n\"Answer: 3*q**3 - 558543*q + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -42*i + 50. Let p be x(8). Let n = p - -465. Is 35 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**0\/c*c*c)**21\/(c**(-1\/4)*c*c)**(2\/35))\/((c**(-1\/18)\/c**8)\/(c*c\/(c**(-1\/2)*c))**(-46)) assuming c is positive.\nAnswer: c**(-1802\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -3530503 + -1?\nAnswer: -3530504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -r**2 - r. Let b(u) = 2*u**2 + 7*u - 2. Let n(f) = b(f) + 4*p(f). Let q(m) = m**3 + 8*m**2 - 6*m - 46. Let y be q(-8). Calculate n(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -23, -74, -219, -506, -983?\n\"Answer: -8*h**3 + h**2 + 2*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -0.06, 5, 0.4, 2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 22*n + 15 + 73. Let m be n\/(763\/(-105) - -7). Suppose -p = -2*s + 3 - 6, 2*s = 4*p - 12. Solve s = -0*i - 3*i - m for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 277582 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1465249059?\nAnswer: 3, 162805451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out -132952004 * -0.5.\nAnswer: 66476002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 61310?\nAnswer: 2, 5, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o = 14 - -7. Let x(r) = r**3 - 13*r**2 + 12*r + 5. Let l be x(12). Let a be 8\/6 + (2775\/9)\/l. Calculate the highest common factor of a and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 126162.4551 - 126157. What is w rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = z**2 - 124*z - 509. Determine y(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-5)\/25)\/((-2)\/10). Let a be (g + -4)\/(27\/(-6)). Solve a - 2*h + 4\/3*h**2 = 0 for h.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 1, m: 2, e: 1, o: 4, v: 3, j: 7}. Give prob of picking 2 o.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1289337639 rounded to 4 dps?\nAnswer: 0.1289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert -139 (base 13) to base 7.\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**(-2\/9)\/(f*f\/f**(-4\/3))*(f\/f**(2\/7))**(1\/8) assuming f is positive.\nAnswer: f**(-1747\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = l**3 - 8*l**2 + 12*l + 8. What is g(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = f**2 - 6*f - 4. Let s(i) = -i - 1. Let u be s(-8). Let o be b(u). Determine m, given that m**3 + o*m**3 - 2*m**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = 15*v - 174. Calculate n(11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-8)\/(8\/11) + 0 + -1. Let w(o) = o + 118. What are the prime factors of w(t)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -f**2 - 2*f**4 + f**3 + 4405 - 4347 + 2*f**2 to q + j*f**3 + t*f**2 + r*f + v*f**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -8\/12292571 at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -24197, -24170, -24161, -24176, -24221, -24302?\n\"Answer: -p**3 - 3*p**2 + 43*p - 24236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*b - 5 = b, 0 = -3*s + 2*b + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -8 - -7. Let p = x - -1. Which is the smallest value? (a) -2 (b) -0.2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 7 + -3. Suppose 2*z - 5*z = 9. Let l be z*s\/(-6) + 52. What is the greatest common divisor of l and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 95103 * -0.2739.\nAnswer: -26048.7117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = 4*s**2 + 71*s - 12. What is x(-17)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 158374 to the power of 1\/2, to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -24*v**3 + 13*v**2 + 13*v. Let j(l) = -6*l**3 + 3*l**2 + 3*l. What is -26*j(g) + 6*q(g)?\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -15*y**2 - 9*y + 18. Let m(d) = -7*d**2 - 4*d + 8. Let p(l) = 9*m(l) - 4*v(l). Let w(s) = 23*s**2. What is p(w(r))?\nAnswer: -1587*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 l when four letters picked without replacement from lclgglllgllgggl?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*b - 110 = 26*b. Calculate the remainder when b is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) be the first derivative of 5*w**3\/3 + 935*w**2 + 3720*w - 2665. Factor g(u).\nAnswer: 5*(u + 2)*(u + 372)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*c + 12 + 13. Let r be 145\/(-13) + 16\/104. Let s = c - r. Solve -5*x + 1 = s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) be the third derivative of -89*d**7\/35 + 61*d**4\/12 + 492*d**2. Find the second derivative of m(r) wrt r.\nAnswer: -6408*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z = 0, 2*q + 2*q = 4*z + 16. Suppose 3726 = -q*f + 3*b, -302 + 1228 = -f - 2*b. Round f to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -52 + 86*y - 185*y + 54 - 2*y**2 - 141*y to z*y**2 + k + l*y and give l.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -122.9153 rounded to 1 decimal place?\nAnswer: -122.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fy when two letters picked without replacement from {y: 1, f: 19}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3331?\nAnswer: 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 18 = -19. What is the common denominator of 1281\/(-98)*x\/6 and 83\/2?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + 3 + (sqrt(200) + 0)**2 - (sqrt(240)\/(sqrt(30)\/sqrt(3)) + sqrt(24))\/(sqrt(12) + (sqrt(12) - sqrt(24)\/sqrt(2)*3)).\nAnswer: 2*sqrt(2) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -17893, -35858, -53919, -72070, -90305?\nAnswer: -108618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:59 PM and 12:43 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -f**3. Let c(z) = 6*z**3 - z**2 - z + 30. Let d(m) = c(m) + 5*r(m). Let n = -433 - -433. Is 12 a factor of d(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (24\/(-14))\/(1\/1*442\/1547)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2103589, -2103593, -2103599, -2103607, -2103617, -2103629?\nAnswer: -2103643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 3431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -647, -1, 14044 in descending order.\nAnswer: 14044, -1, -647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 775681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 662 minutes before 6:25 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1011998742?\nAnswer: 2, 3, 359, 469823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Total of -21.2 and -1.\nAnswer: -22.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o - 18 = 4*m + 30, 0 = -2*o - 4*m + 32. Solve 4*l + 5*f - 19 = -4, 3*l - f - o = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -442.7131 rounded to 0 dps?\nAnswer: -443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 7, q: 2, g: 1}. What is prob of picking 1 g and 2 q?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = 11 - 5. Suppose 3*h + 5*d - q = 4*h, -14 = -h - 5*d. Solve -3*u - f = f + 2, h*u = f + 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 24\/(-75)*145\/58 - 2.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -902\/7 - -3119\/21. Suppose -5*p = t - 0*t + 22, p - 7 = -4*t. Let s = t - -7\/6. What is the common denominator of s and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -2264 and -2262 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 2095 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7700 = 29*r - 15*r. Let u = 578 - r. Is u even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 50 + -7 + 87 + -97.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mr when two letters picked without replacement from ismtsfmsiisiifsmfrs.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (6\/(-6))\/(7*2\/126)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -1119 at most as big as -1118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 14 = 3*u - 4*o, 0 = -57*u + 59*u - 5*o - 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -42139 - -6?\nAnswer: -42133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -6717*l + 8841. Give u(1).\nAnswer: 2124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -156 - -158. Let a = -2 + 0. Sort k, -3, a in decreasing order.\nAnswer: k, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 193 = -133. Suppose c + 2*c = -3*m + v, 0 = -5*m + c - 5. Solve -3*q - y - 8 = m, -4*y + 8 = -q + 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 188\/(-28) + 4\/(-14). Let y = -2 - j. Suppose -17 = -y*x + 68. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (35 + 22 + 2*r**2 + 0)*((1 + 0 - 5)*(1 - 5 + 1) + 3 + 3 - 4 + (1 + 0 + 0)*(0 + 1 - 2) + 1 + 3 - 2 + 4 - 1 - 5).\nAnswer: 26*r**2 + 741","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (0 + sqrt(1700) + 5)**2.\nAnswer: 100*sqrt(17) + 1727","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + h + 2338382 = 0, -3*y - 477661 + 1880681 = 4*h. Suppose -y = -45*f + 9*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 2\/(4*5\/(-40))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 315.0297 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Simplify (u*(u\/u**(-3\/2))\/u*u*u*u\/u**11)**35\/((u**(-5)\/(u**(-4)*u))\/((u*u**(2\/7)*u*u)\/(u*u*(u\/u**(-9))\/u*u*u))) assuming u is positive.\nAnswer: u**(-2803\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n - 20 = -5*v + 4, -v - 2*n = 0. Suppose 94 = v*g - 5*a, -7*a = -4*g - 3*a + 92. Suppose -4*w = -g + 5. Put 5, w, -1 in descending order.\nAnswer: 5, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*b - 219*b**2 + 0*b + b.\nAnswer: -219*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1 - (-3)\/3 - 0. Let p = -6 + n. Is p + 1 - (-22 - -5) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 926714 and 3?\nAnswer: 2780142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -175*k = -260*k + 192440. Calculate the remainder when k is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/(o\/((o*o\/(o*o*o\/(o\/(o\/(o**(-3)*o))*o)))\/o)))\/o*o\/(((o**(-1)*o)\/o)\/o)*o*o*o*o\/o**5*o**(1\/3) assuming o is positive.\nAnswer: o**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = g + 2. Let d(i) = 9*i + 56. Let x(h) = -4*h - 24. Let v(q) = 3*d(q) + 7*x(q). Give -3*v(n) + w(n).\nAnswer: 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1215\/(-864)*16*8\/6.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 6446394 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d be 7\/((-700)\/(-8))*1. Do d and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 168\/6*1*(-168)\/196\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -51 + 55.4. Let p = o + -3.78. Let z = 0.6 - p. Round z to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j + 52 = 17*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 210 a factor of 588078540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -19, -35, -49, -61?\n\"Answer: n**2 - 19*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = 3 - 2 + 0*l + 29*l**2 + 0*l. Let w be y(4). Let m = 847 - w. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 630 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6 - 5 - 1367*k - 3 - 17 + 4.\nAnswer: -1367*k - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 316*g**2 + 24545*g - 10007877?\nAnswer: 632*g + 24545","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -19*d + 5*d - 12 + 13*d. Let k be j(-13). Solve k + 11 = 3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -18 - -88. Suppose 2*j - y = -12*j. Let l = 19 + -13. Solve 0 = -j*v + l + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -890.70957 to 0 decimal places.\nAnswer: -891","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -8 in 4, -5, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + 2 + -6 - (1 - 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 33 and 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -10*s - 6*s + 15*s - 4*s. Let f(a) = a**2. Determine f(b(u)).\nAnswer: 25*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q be 3 - (2 - 2)\/3. Let k(v) = -3 - 4 + q - 2 + v. What is the least common multiple of 6 and k(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-2)*t)**(-7\/4)\/(t*t**(-3\/10)*t*t**16) assuming t is positive.\nAnswer: t**(-319\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = -32 + 126. Let p = x + -93.99902. What is p rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -7 + 6.99. Let h = t - -3.01. Which is the smallest value? (a) 0 (b) h (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (53 + 5 - 1 + 4)*(25*h + 17*h - 6*h).\nAnswer: 2196*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4 plus -21161?\nAnswer: -21160.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5742808 is divided by 69?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -3757 (base 9) to base 11\nAnswer: -2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -2 - 9*u**3 + 2 + (2 + 2 - 2)*(-4*u**2 + 3*u**2 + 2*u**2)*(-3 + 3 - 2*u).\nAnswer: -13*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1042*x = 2*t - 1043*x - 989, 2*x = -t + 482. What is the highest common factor of 36 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 62*f = 71*f + 72 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*b + 25, 0 = 2*z + 3*z - 2*b - 135. Suppose -4*o - 1 = -4*c + 3, 5*c = z. Solve -o = 4*r - 5*v + 4*v, 0 = -2*r + v - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bbclhoooholllocbylo. What is prob of sequence hho?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 215585696?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = 7\/3359 + 6669\/23513. Let w = 0.7 + 0.3. Let o = -1 + 0.9. What is the closest to -1 in w, o, i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -h**2 - 12*h - 22. Determine u(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -91 (base 10) to base 14.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*w + 2*w**3 - 4*w - w**2 - w**2.\nAnswer: 2*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*w + 8 + 37 = 0. Suppose 50 = -l - 3*h + 7*h, -2*h = 3*l + 150. Let a be (-26)\/w + 10\/l. Is 6 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0001227371248 to 6 dps.\nAnswer: -0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 1244090 (base 11) to base 5.\nAnswer: 1023021100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 9280 or 9276?\nAnswer: 9280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -1429*t + 21429. Give i(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u, 1 j, and 1 s when three letters picked without replacement from {i: 1, j: 11, y: 1, s: 1, u: 1}.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 526*f**2 - 17*f*g**3 - f*g*m**3 + 3*g**3*m - 67*g**2*m**3 + g**2*m - 28*g*m**3 with respect to f.\nAnswer: 1052*f - 17*g**3 - g*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = y + 3. What is q(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 4*f**2 - 2*f + 10. What is the units digit of o(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(-4\/3)\/((n*n**(1\/20))\/n)*n**14\/n*n\/(((n*n*(n\/(n\/(n\/((n**(-13)*n)\/n*n*n))))\/n)\/n*n)\/n) assuming n is positive.\nAnswer: n**(37\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n be -1 - (5 - (1227 + 1 - 6)). Calculate the highest common factor of 38 and n.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3 - -1. Let t be 4\/8 + 3\/s. Let u be 3\/6*0\/3. Sort 5, t, u in ascending order.\nAnswer: t, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9830?\nAnswer: 2, 5, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2912945 and 24675?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*s**2*z**2 - 58176385*s**2*z - 4285*s**2 - 6691*s wrt z?\nAnswer: 4*s**2*z - 58176385*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -31*v + 2. Let a(j) = 31*j - 2. What is 5*a(b) + 4*r(b)?\nAnswer: 31*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-14*(-147)\/(-686))\/((-9)\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1357664?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = -14 - -16. What is the greatest common factor of i and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 74581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -34, -147, -466, -1099, -2154?\n\"Answer: -18*h**3 + 5*h**2 - 2*h - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 37 + (-33 - (2 - 12) - -34).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1\/1834 - -6427\/14672. Find the common denominator of -77\/8 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 - 5 = g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -1, -0.1, -3\/4, 0, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1880679?\nAnswer: 3, 29, 21617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 32659176 is divided by 1484507?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = -156 + 156.2. Let z be ((-6)\/26)\/((-6)\/4). What is the third smallest value in z, 0, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-8)\/(-4))\/(6\/(-33)). Let v = j - -26. Let w be (3\/(-5))\/(3\/v). Put 5, -2, w in increasing order.\nAnswer: w, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -107\/2016 and -163\/18144.\nAnswer: 18144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(99) + 4 + sqrt(110)\/sqrt(90))**2.\nAnswer: 80*sqrt(11)\/3 + 1244\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 15 - 21.8. Let r = g - -7. Put r, 0.5, -1 in increasing order.\nAnswer: -1, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11844829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s - 4*r - 12 = 0, 2*r = 4*s + 4 - 10. Let q = 2145\/4 - 536. Sort s, q, -8, -0.3 in ascending order.\nAnswer: -8, -0.3, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 115736233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -598.1109 to the nearest 10.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 5*d + 6 = -3, 0 = 4*p + d - 6. Let x = 1 + p. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 3024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -1.2524 rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q = -8.4 + 8.86. Let d = q - 2.46. What is the closest to -1 in 4, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + 23 - (-1524 - -1560).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1 + 0. Let l be (3\/(-21)*-3)\/d. Suppose p - 1 = 5*j + 3*p, 2*j + 8 = 3*p. What is the third biggest value in 1\/4, j, l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 138245326 to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 23 + 1113?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = 37517 + 58134. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 6\/773, -0.1, 4, -8, 0, 3\/4 in decreasing order.\nAnswer: 4, 3\/4, 6\/773, 0, -0.1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*c + 2*c + c)*(0*c**3 + 0*c**3 - c**3) - 98*c + 98*c + 7*c**4 - 399*c**4 + 790*c**4 + 58*c - 393*c**4.\nAnswer: 4*c**4 + 58*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = 31 - 31. Let u(p) = -p**2 + 2 + y*p**2 + 7 + p**3 - 2. Calculate u(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 566 + -408. List the prime factors of j.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1568*z**2 + 2284*z**2 + 2459*z**2 + 5279*z**2 to q*z + b*z**2 + n and give b.\nAnswer: 8454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 113358.\nAnswer: 2, 3, 7, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = 61 + 209. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -6715, -11088, -15461?\n\"Answer: -4373*o - 2342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (t**2 + 2*t**2 - 5*t**2)*(-1 - 1 + 3)*(1 - 1 + 2*t**2)*(-17 + 19 - 19) to the form n*t**4 + b*t**3 + r*t + p*t**2 + x and give n.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*l - 2*l + 5*y + 126 = 0, 2*l = -51*y + 52*y + 18 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -13071.1 * -5\nAnswer: 65355.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 4*f*o**2 + 7*f - 204934*o**2 - 50111 wrt o.\nAnswer: 8*f*o - 409868*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 504*o**4*q**2 + 136*o**3*q**3 - 27*o*q**3 + 5741*q**3 wrt o?\nAnswer: 6048*o**2*q**2 + 816*o*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (((-4)\/10)\/(74\/(-185)))\/(3\/42)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0001173578245 rounded to 6 dps?\nAnswer: -0.000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 8*q = 20. Solve -r - q = -2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -277000 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1368.993454 - 1369. What is u rounded to 4 decimal places?\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express ((3 - 5 + 0)*(-4*i + 4*i - 2*i) + 0*i - 4*i + 5*i)*(-4 + 0*i**2 + 5*i**2 + 6) as l*i + p + t*i**2 + z*i**3 and give z.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -29\/608 and 107\/408576?\nAnswer: 408576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 19896564?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20*d**2 - 20278201*d - 20278192*d + 40556393*d.\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(1\/2)*u*u**(1\/2)*u)**0 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2209394, -54, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/(-9))\/(2*(-3)\/36).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-6137)\/(-1938))\/((-2)\/(-8)*1)*(-171)\/114?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*u - 168 = -488. Suppose -9*t = -5*t - u. What is the remainder when 36 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 7.85 + 1.15. What is the closest to -2\/7 in -2\/23, g, 2?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -230 + 244. Suppose -z = -o*z + 26. Solve -x - 4*b = x + z, 0 = 4*x + 5*b + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 28, 38, 48, 58?\n\"Answer: 10*x + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 248 or 246?\nAnswer: 248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 2*w)*(5*w - w - 2*w) + (-w - 1 + 1)*(-w - 4 + 4).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = 76 + -23. Let v = -53.0037 + t. What is v rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 119, -0.4, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*u - u + 2*u + 3*u - 3*u + u + 3*u - 4*u + 2*u - u + 0 + 0 + (-3 + 0 + 4)*(-5*u + 3*u + 0*u) - 38*u + 6 - 9 + 1.\nAnswer: -41*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 430 = -2*n, q + 4*q - 3*n = 1069. Is q a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*(2\/7)\/(-2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 14208 and 20424.\nAnswer: 326784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*z**2 + 54*z - 648.\nAnswer: 2*(z - 9)*(z + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -583, -584, -587, -592, -599, -608?\nAnswer: -619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1238 a factor of 1415201130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*((sqrt(847) + -1 + sqrt(847))*5)**2.\nAnswer: -2200*sqrt(7) + 169450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4 - (-2 - -2 - -1)) + 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -2*q**2 - q + 91. Calculate k(8).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 41 divide 976415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 368000 and 550850?\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 144\/(-45) - 1\/(4\/(-8))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 40774163?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = 7404 + -7400. Which is the biggest value? (a) 108 (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 532*p - 533*p - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*b - 5*y + 29, -b - 2*b + 3*y = 18. Let s = 0.3 - 2.8. Let u = 2 + s. Sort -0.3, u, b.\nAnswer: b, u, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -2978646.4 + -2.\nAnswer: -2978648.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -7a (base 14) to base 13\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 30.22 * 2.8.\nAnswer: 84.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -19652*o**3*s**2 - 89*o**3*s + o**2 - 4*s wrt s?\nAnswer: -39304*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1614, 13079, 44200, 104805, 204722, 353779, 561804, 838625?\nAnswer: 1194070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in three fifths of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -y + 4. Let n(m) = m - 3. Let j(v) = 4*n(v) + 3*x(v). Let r(c) = -c**2 + 0*c**2 + 2*c**2. Calculate r(j(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -6.4, -2\/11, -8?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 163 or -64?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2*55\/(-528)*-16*(0 + 6).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -116, -4, 11.2004, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 3 (b) 0 (c) -4 (d) -3\/7 (e) -10\/11 (f) 0.32308\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40 = 7*o - 2*o. Suppose -344 = 3*x + 70. Let w be ((-2)\/(-3))\/((-4)\/x). Solve -4*v - o = 2*l, w = 4*l - v - 4*v for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 37226 + -22359. List the prime factors of v.\nAnswer: 14867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*m + 3*m + 27 = -m. Solve 5*s = -m*f + 32, 5*f = 5*s - 2*s + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4972, -10107, -15410, -20881, -26520, -32327, -38302?\nAnswer: -44445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(1\/21))**(30\/7) assuming d is positive.\nAnswer: d**(10\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5.788 + 1203.\nAnswer: 1208.788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from thetthhhhthhthhhhtht. What is prob of picking 1 t and 1 e?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -2198, -4291, -6384, -8477, -10570, -12663?\n\"Answer: -2093*d - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 38 at most -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from orro. Give prob of sequence orr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*r**2 - 919*r + 919*r + 9.\nAnswer: -6*r**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -6.625 rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -16158, -32541, -48924?\nAnswer: -65307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 973663983 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yg when two letters picked without replacement from cyycygyycc.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 19\/162 or 2\/5?\nAnswer: 19\/162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + 6*i = 2*i - 16, -5*i = 5*d + 20. Suppose 4*m = 5*z + 43, m + d*m = -3*z + 15. Solve 3*x + 3 = m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 3\/154 + -477\/770. Put -5, -0.2, d in descending order.\nAnswer: -0.2, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3574 - -3574.00004298. What is k rounded to 6 dps?\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -892647 and 184.0552.\nAnswer: -892462.9448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.1 and 5.8452.\nAnswer: -0.58452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) be the second derivative of -r**5\/170 + r**4\/102 - 4*r. Factor d(z).\nAnswer: -2*z**2*(z - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tyt when three letters picked without replacement from yyttyyyyyyyyy.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/(b*b**1)*b**(2\/21)*b)\/(b*b*b**1*b**(2\/51)))**(3\/31) assuming b is positive.\nAnswer: b**(-1051\/3689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = l**3 + 7*l**2 + 6*l + 5. Let c be x(-6). Suppose c*h - 29 = 11. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -59 - -175\/3. Put -4, h, -0.04 in increasing order.\nAnswer: -4, h, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.09 - 109?\nAnswer: -109.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 2032678 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -2853*o + 7 = -2854*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v**4\/7 + 208*v**3 + 351360*v**2\/7 + 27624704*v\/7 - 116214272\/7 = 0 for v.\nAnswer: -244, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wz when two letters picked without replacement from wgugwwzwgwgwgwuwuu?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 15259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-16 + 16 - 10*z**3 + (-z - 2*z**2 + z)*(-3*z + 3*z + z))*(-3*z - 490 + 22*z**2 + 251 + 241).\nAnswer: -264*z**5 + 36*z**4 - 24*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 294*v = 291*v - 5*s + 25, 4*s + 17 = 5*v. What is the remainder when 1262 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 368 = 3*y - 37. Suppose 3*k = -4*t - 98 - 0, -t = 5*k + y. Let l = k + 46. Solve 9 = 5*s - 3*f, -4*s + 0*f - 4*f = -l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 9591289 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -32044 + 64083 - 32025 + j. Give m(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18\/(-45)*(-1)\/2*-10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 2403286922 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) be the first derivative of m**2 + 1. Let x(u) be the third derivative of 9*u**5\/20 + 47*u**2. Calculate p(x(k)).\nAnswer: 54*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -11*q**2 + 59*q + 230. Let i(l) = -13*l**2 + 60*l + 231. Let t(m) = -6*i(m) + 7*j(m). Find the first derivative of t(y) wrt y.\nAnswer: 2*y + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -8*r**2 - 2. Let d be -3*(-2)\/18*42\/(-2). Let a(g) be the second derivative of 7*g**4\/12 + g**2 + 14*g. Give d*a(t) - 6*h(t).\nAnswer: -t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 7343641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x be (16 + -19 - (-6 - 1)) + -10 + 5. Let o(f) = -f**3 - 5*f**2 + 8*f + 3. Let m be o(-7). Suppose 5*q - m = 10. Is x equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8224321 divided by -1?\nAnswer: 8224321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 25 minutes after 1:03 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = j**3 + 7*j**2 - 4*j - 64. What is n(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f - 525*t + 526*t + 3 = 0, 48 = -4*f - 3*t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 294 divide 239022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.874685313 - 2.\nAnswer: -1.125314687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide -5104 by -2.\nAnswer: 2552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 975 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 6 + (4 + -4)\/(-1) and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 2, v: 1, o: 1, u: 2}. What is prob of sequence vo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -b**4 - 103304*b**3 + 7*b**2 - 6819844*b.\nAnswer: -12*b**2 - 619824*b + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + t + 2)*(t**3 + 0*t**3 + 0*t**3 + (-4 + 4 - 3)*(-t + t - t**3)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g be -98 + (2 - 0) + 0. Let x = g - -61. Let i = 256 + x. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9532139 to the power of 1\/2, to the nearest integer?\nAnswer: 3087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9 + (1 - 13 - (116 - 127)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 370814534.\nAnswer: 2, 3301, 56167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -10\/13, 1, -111, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = g**3 + g. Let x be u(3). Let t = -3 - -4. Suppose -3*j + 8 = -t. What is the highest common divisor of j and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (70280\/770)\/((-4)\/(-22))?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 67 minutes after 11:29 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 d when four letters picked without replacement from zddidoo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/(h\/h**(-2\/9)))\/(h*h\/(h*h**(12\/11)\/h*h))*(h\/((h\/h**(-17))\/h))\/h*h**(2\/13) assuming h is positive.\nAnswer: h**(-21850\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1, -5, -66455?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-4)\/84)\/(92\/18 - 5). What is the closest to -0.2 in h, -5, 6, 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -81*t = -0*t + 648 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m be 3 - (-18)\/(0 - 3). Let x(y) = -2*y**3 + 2*y - 3. What is the units digit of x(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = b**3 + 19*b**2 - 93*b - 84. Calculate z(-23).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -61\/84 and -74\/483?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (21\/(-5) - 1) + (-42)\/(-8 - -1)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2 or 5701\/2109?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-6)\/4*(-35 - 474318\/(-13554)). What is the third smallest value in 0.1, -0.2, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-572*r - 541*r - 593*r - 274*r)*(4*r**3 - 5*r**3 + 0*r**3).\nAnswer: 1980*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 329*w + 5369 + 5394 = 50*w + 3509 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) be the second derivative of -x**4\/4 + 25*x**3\/2 - 231*x**2 + 13*x + 4. Determine g so that l(g) = 0.\nAnswer: 11, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 6748533 and 2178?\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -r**2 - 1 + 7 + 2*r + 1. Let v(x) = 1. Let m(l) = 3*s(l) - 21*v(l). Factor m(g).\nAnswer: -3*g*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1085.\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 29, 27, 13, -7, -27, -41, -43, -27?\n\"Answer: x**3 - 12*x**2 + 27*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p - 5*s + 35 = 0, -4*p - 36 = -2*s - 14. Let k(m) = 2*m + 8. Let z be k(p). Let l be z + 38 - (-2)\/2. What is the greatest common divisor of l and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -m**3 - m**2 - m - 2. Let a be i(-2). Let k = -22 + a. Let l = -55\/3 - k. What is the third biggest value in -0.09, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 689\/120 + -57\/10. Let x(p) be the third derivative of 0 + 0*p - 1\/6*p**3 - 2*p**2 + v*p**4. Give x(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*x + 8 = 2*q, 589*q - x = 1187*q - 595*q + 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = y + 3. Suppose -5*k + 0*w - 10 = 5*w, w = 0. What is a(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -3303220123 - -3?\nAnswer: -3303220120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 369 and 38691?\nAnswer: 1586331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -550 != -540?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 11661 and 1421628.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -2045015 (base 7) in base 8?\nAnswer: -741545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -8 + 5 + (3 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -r**3 + 2*r**2 - 8*r + 5. What are the prime factors of m(-4)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.254 - -0.46. Let n = -0.106 + c. Sort 8, -4, -3, n in descending order.\nAnswer: 8, n, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wsvpelvp. Give prob of sequence esl.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 122 and 854.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 288 a factor of 5184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 45, 46, 53, 72, 109, 170, 261?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1846 and 213?\nAnswer: 5538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p = -414 + 419. Suppose p*h - 82 = -2*k + 3, 3*h = 9. Calculate the greatest common factor of 119 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -371*i - 7. Is f(-1) a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*i - 0*i + 16. Suppose 3*h + 3 = -3*x, 0*x = -5*h + 2*x - 12. Let n be 4\/i + h\/(-12). Is -1 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 55 + -55 + (-1 - -61) + (1 - -1 - -4)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-9)\/2 + (-5)\/(-10). Let j = 1.7 - 1.8. Let n = -1216.5 + 1216. Put n, -0.21, j, b in descending order.\nAnswer: j, -0.21, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -t - 7. Let a(o) = o - 18. Let w be a(11). Calculate g(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -696362520 - -0.2\nAnswer: -696362519.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = 200 - 200 - 22*q. Let m(b) = -3*b. What is -21*m(z) + 3*s(z)?\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = x**2 - x. Let q be b(2). Let v be 1 + (-3)\/4 - (-10010)\/88. Suppose 368 = q*h + v. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 41\/2 of a millimeter?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -3 - 10 - (-4 - (-3 - (5 + -10)))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 13 - 9. Suppose -148*g + 140*g = 0. Solve h*j + j - 10 = g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-217)\/42 + (-10)\/4 + 8. Which is the closest to w? (a) -4 (b) 16 (c) 2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -182 - 2c?\nAnswer: -1b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*s - s - 3*s)*(-3*s - 2*s + s) + (3*s + 0*s - s)*(-3580 + 1831 - 3*s + 1865).\nAnswer: 10*s**2 + 232*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w = -11 + 45. Let u(o) be the second derivative of -o**4\/3 - o**3 - 32*o. Let f be u(-3). Is f at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -56 at most -90\/145999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -473 at least as big as -475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = -27 + 29. Suppose a + 5*l - g*l = 21, 2*a - 5*l = 75. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) be the second derivative of 0 - 58*g - 4\/15*g**3 + 1\/30*g**4 + 3\/5*g**2. Suppose c(u) = 0. Calculate u.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34*n + 26*n + 12552 = 0. Let o = n - 424. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2*g**2 + g**2 + 3*g**2)*(-4 + 5 + 1) + (5*g**2 - 8*g**2 - 7*g**2)*(0 - 1 + 3))*(-2*g**3 + 2*g**3 - 2*g**3).\nAnswer: 32*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l = 13 - 35. Let r be l\/(3 - (2 + 3)). What is the highest common factor of 121 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 866145*q**3 - 742762*q?\nAnswer: 5196870*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 597822.\nAnswer: 2, 3, 17, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.3, 4.01, 16, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1.5 + -1.2. Let n = -6\/89 - 219\/712. What is the closest to 2 in n, y, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2719210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1391015064?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 24552\/4950 - ((-20)\/(-6))\/(4\/6)?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = s. Let l be j(2). Let o be (-9 + l - 1)\/(-1). Let r be (9\/(-6))\/((-3)\/o). Let y(m) = -m**2 + 6*m - 1. What is y(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 23*x**2 + x + 2. Let c be l(-2). Let i be (-1)\/(2\/c + 0). Let r = 65 + i. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*h**5 + 43530*h**4 + 1130508*h**3 + 10953144*h**2 + 46933344*h + 75085056 = 0 for h.\nAnswer: -14484, -8, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide 569070 by -6.\nAnswer: -94845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in q + 564*q + 2045*q.\nAnswer: 2610*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 387*p + 14920 + 12848 = -770*p for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express -3 + s + s**4 + s**3 + 28*s**2 - 3*s - 10*s**2 - 16*s**2 in the form g + r*s + v*s**4 + p*s**3 + b*s**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -69*l + 617 = 61*l - 33. Let t(u) = -4*u**2 - 5. Let o(b) be the third derivative of -b**5\/30 - b**3\/3 + 7*b**2. Calculate l*o(z) - 2*t(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 1 - 4)*(-1 + 1 - g) - 2*g + 16 - 2 + 4.\nAnswer: -3*g + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 5*r - 9 + 8*r**4 + 3 - 11*r - 3*r**2. Let j(d) = 15*d**4 - 7*d**2 - 11*d - 11. Let q(x) = -6*j(x) + 11*k(x). Find the third derivative of q(y) wrt y.\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 73593 and 22893.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s - 5*n + 55 = 0, 89 - 24 = 3*s - 5*n. Suppose 3*r - s = -0*r. Solve r = 5*m, 2*c - m + 11 = 4*m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 15, -17.2, 1\/6, -10?\nAnswer: -17.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y be (2\/(-1))\/(5\/(-10)). Suppose 0 = -y*f - 0*f + 4. Let s = -0.3 - -0.1. What is the biggest value in -3, f, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1067 + 10683\/10. What is the common denominator of n and (-26)\/15*-4 - 44\/(-66)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -15294*k - 76518. Determine s(-5).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 30269948099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(1\/13))**(-3\/4) assuming b is positive.\nAnswer: b**(-3\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 3081.8 to the nearest 10.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 82\/7 - 80\/7*m - 2\/7*m**2.\nAnswer: -2*(m - 1)*(m + 41)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) be the third derivative of -g**5\/20 - 11*g**2 + 3. Let w(s) = -9*s + 2. Determine k(w(i)).\nAnswer: -243*i**2 + 108*i - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 2045663.64ns?\nAnswer: 0.0000000236766625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -345520 = -44*t + 242161 - 34865. List the prime factors of t.\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 9, -44, 2\/7, 1\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) be the first derivative of -9*v**2 + 5*v - 7\/6*v**4 + 0*v**3 - 4. Let r(d) be the first derivative of h(d). What is the derivative of r(i) wrt i?\nAnswer: -28*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/5, -1, -4, 7, -2\/18909, 0.5 in ascending order.\nAnswer: -4, -1, -2\/18909, 0.5, 3\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 2021307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -4*c + 47. Let l be u(11). Let v(r) = 7*r + 28. Let z be v(l). Calculate the greatest common factor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:44 PM and 2:29 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -b**2 + 22*b - 17. Let l be i(21). Solve -14 = 3*q - 2, -l*q = 4*c + 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a = -3*u + 7, -2*u + u = -4*a + 49. Let p(x) = 5*x - a*x + 3*x + 2*x. Let t(j) = -j + 1. Give p(y) - 3*t(y).\nAnswer: 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -559680?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 2027029819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-5)\/(-1) + (3 - 0). Suppose 0*y = -4*y + z. Factor 2*b**y - 2*b**2 + 0*b**2 - 2*b**2 - 12*b - 18.\nAnswer: -2*(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + x - 535 = 0, 0 = 3*x + 2*x - 25. Let y be (-2)\/5 + 1134\/(-15). Let n = y - s. What is the highest common divisor of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:04 PM and 8:45 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.18 - 0.86. Let v = 0.04 + u. Which is the third biggest value? (a) 1\/4 (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -2*v**2 + 131975*v + 8190134. Calculate q(-62).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -4*b + 78. Calculate f(19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - 3 = -3*u - 1, u = -k + 1. Let p = -109 - -111. Let j(z) = p - 1 + u + z + 1. Give j(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -38*y + 1682. Determine x(45).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x be 0 + 21 - 1\/1. Let n be 0 + 0 + 1*x. Suppose t = -t + n. Calculate the highest common divisor of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 4, v: 5, t: 2}. What is prob of picking 1 y and 2 t?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -m + c - 11, 4*m - 4*c = 5*m - 4. Let j(r) = -r**3 - 4*r**2 + 10*r + 4. Let a be j(m). Suppose -1047 = -3*x - a. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 228112 is divided by 11914?\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i*i**2)\/(i*i*i**(-4)))\/(i**(1\/8)\/i**(-1\/6)) assuming i is positive.\nAnswer: i**(113\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) 2\/11 (b) 2\/5 (c) -1\/8 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 923984?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = 2*b. Let s(h) = 17*h**2 + 19*h - 140. What is s(p(g))?\nAnswer: 68*g**2 + 38*g - 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -5*t**2 - 175*t. Let i(v) = 14*v - 493. Determine i(b(q)).\nAnswer: -70*q**2 - 2450*q - 493","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in 106724, 106723, 106722, 106721, 106720?\nAnswer: 106719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 135415\/211 or 10\/17?\nAnswer: 135415\/211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1384.9 - 1385. Let p = 19 - 17. Sort 3, p, d, 0.01.\nAnswer: d, 0.01, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -167*f + 162*f + 25 = 0. Sort 13, 3, -4, f in ascending order.\nAnswer: -4, 3, f, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 103125.93244 rounded to the nearest one thousand?\nAnswer: 103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Are -11 and -20999\/1993 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*v - 92 + 80 = 0. Suppose -5 - 5 = 2*n, 0 = -v*u + 3*n + 17. Is u != -6\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (44 - 131 - -99)*(-3)\/(-162).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + 2867 - 8406 = -3*y, 5*d = 4*y + 13905. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*l**3 - 3*l + 3*l - 39*l**3.\nAnswer: -53*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 240 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {c: 4, h: 2, s: 1, g: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*p + 2*p + 0*p)*(0 + 3 - 1 + (0 + 0 + 1)*(1 + 0 + 2)).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in 701619921, 701619919, 701619917, 701619915?\nAnswer: 701619913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.145 and 0.28?\nAnswer: 0.425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express 0*m - 9*m + m + 2*m in the form c*m + q and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1.3 - -0.7. Suppose 3*j + 34 = 70. Suppose 1 = -j*l + 13. Which is smaller: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 15 = l, 2*t = -7*l + 2*l + 23. Let u = -206 - -216. Let w(m) = -m**2 - 75 + 74 - u*m + 2*m + 14*m. Determine w(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 123232 and 9673712.\nAnswer: 19347424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u = -5*p + 4 + 21, -5*p + 3*u = -30. Suppose p*q - 98 = -92. Let r(f) = f - 1. Give r(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j**0)**36 assuming j is positive.\nAnswer: j**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r be 12\/(-2) + 6468\/630. Which is smaller: 4 or r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s - 35 = -5*u, -5*u + 10 = -13*s + 15*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (40\/(-16))\/(4\/8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yd when two letters picked without replacement from yrrd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 1745191258 to the power of 1\/3, to the nearest integer?\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -3390 * -3.\nAnswer: 10170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -7, -49, -95, -139, -175, -197, -199?\n\"Answer: c**3 - 8*c**2 - 25*c + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be -8*(3404\/(-8) - -3). Let q be (y\/12)\/(-5) - 1\/(-3). Let n be (0 - (-3 - -5))*1\/q. Is n at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 187713.\nAnswer: 3, 20857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w be (2 - (-8)\/7) + (-4)\/28. Suppose -219*y - w = -220*y. Calculate the lowest common multiple of 2 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -3.66 - 0.05.\nAnswer: -3.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -1 - -254682636?\nAnswer: 254682635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*y - m - 40, 4*y - m = -3*m + 18. Let a(r) = r**2 - 8*r + 10. Let h be a(y). Find u such that -4*u**2 + 7\/3*u**h + 2\/3 + u = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 343709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (14\/(-4))\/((-735)\/3780).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -21438544, -21438517, -21438500, -21438499, -21438520?\n\"Answer: -t**3 + t**2 + 31*t - 21438575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 73 and 3431?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((t**(2\/3)\/t)\/t*t**4*t)\/(t**1)**(-1))\/((t\/t**2*t**(-2\/11))\/(((t**1*t)\/t)\/t)**(5\/13)) assuming t is positive.\nAnswer: t**(193\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-11)\/(-3) - 12\/18. Suppose -8*o + 9*o + j = 0. Is 2\/o*1*-18 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -c + 13. Let n be k(7). What is the highest common factor of n and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) be the first derivative of -2*t**3 + 4*t**2 + 14*t + 175. Factor k(r).\nAnswer: -2*(r + 1)*(3*r - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.03, -0.936, 138 in decreasing order.\nAnswer: 138, -0.03, -0.936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -412 divided by 103?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 334 at most 0.03658?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3887 in -7, 0.3, 3\/2, -0.2, -1\/21?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:30 PM and 10:25 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.6 + 4.6. Let k = f + -3.99999966. What is k rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -8\/11 at least as big as -46959?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2812805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -14*t**2 + 1 + 305*t**4 - 304*t**4 - 5*t**2 - 2*t**3 to the form d + o*t + k*t**2 + i*t**3 + c*t**4 and give k.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*i - 16*i = 968. Let d = i - 78. Let n be (-6)\/(-4)*(-82)\/1. Are d and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ifizzzfkirrziy. What is prob of sequence yzfi?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ikik when four letters picked without replacement from {k: 2, h: 3, i: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zzv when three letters picked without replacement from zxvzvvvzvzvvvzxi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 43391725?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -3, -2 in descending order.\nAnswer: -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v be 10\/8*-6*(-5 + 115\/25). Solve -y - 3*x = -9, x = y + 4*y + v for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 66044102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by -14514446\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 2*w = -14, -w - 9 = 11*k - 10*k. Let f be 0\/(1 + (0 - k) + -4). Which is bigger: f or -4\/221?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 266 - 292. Are -2 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (sqrt(2) + (sqrt(2) - (-1*sqrt(2) - sqrt(2) - sqrt(2))) + 3 - sqrt(2)).\nAnswer: -2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 1, d: 1, z: 1, h: 1, p: 1}. Give prob of picking 1 v and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) be the third derivative of -i**5\/30 - 3*i**4\/8 + 7*i**3\/2 + 2812*i**2. Give z(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -3*t**2*u**2 - 3*t*u**2 - 6*t + 34*u**2 - 4*u wrt t?\nAnswer: -6*t*u**2 - 3*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide 113061 by -1458.\nAnswer: -37687\/486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-d**3 + 6*d**3 - 2*d**3)*(-211 + 87 + 77).\nAnswer: -141*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 525 minutes after 9:15 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**(2\/3))**(-25))**(-16) assuming n is positive.\nAnswer: n**(800\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xxy when three letters picked without replacement from yxxwxxxywxwxxxxyxy.\nAnswer: 55\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -10989*j**2 + 108*j + 540. Let k(q) = 511*q**2 - 5*q - 25. Let u(y) = -108*k(y) - 5*s(y). Let g(z) = -2*z. Determine u(g(l)).\nAnswer: -972*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 - 2)*(-8 + 1 - 2)*(-3*f + 0*f + 6*f + (3*f - f + 0*f)*(2 + 2 - 2) - f + 1 - 1 + f + 0*f + f).\nAnswer: 144*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -21 = 30*b - 351 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 2 k when three letters picked without replacement from ddksddkddksskddddd.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose q + 2660 = 4*o, 6*q = -2*o + 5*q + 1330. Calculate the highest common divisor of 70 and o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w - 4*y = 6, -6*y = 3*w - 7*y + 9. Is -49 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = k**3 + 10*k**2 - 39*k + 5. Let o be d(-13). Solve -o*n = 2*n - 28 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 0*-2*(-4)\/(24\/(-3)). Suppose 5*z - 5 - 5 = y. Solve z*u = -0*u - 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = 13*w**2 - w - 9. Let i(v) = 2*v - 10. Let d be i(3). Is s(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2790 + -2790. Let d = 0.042 - -2.898. Let c = d + 0.06. What is the smallest value in 1, c, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 11*h - 15. What is y(-40)?\nAnswer: -455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3 + -861?\nAnswer: -864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5512939.\nAnswer: 23, 281, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -s**3 + 6*s**2 - 5*s + 7. What is the units digit of c(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-2))**(-13\/8)\/((y*y*y\/(y*y**3*y))\/y**(-2\/3)) assuming y is positive.\nAnswer: y**(55\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 8 divided by -923?\nAnswer: -8\/923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -100521 - 5?\nAnswer: -100530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1 + 15. Suppose c = h + 7, 0 = 2*h + 7*c - 4*c + q. Let l(f) be the first derivative of f**3\/3 + 7*f**2\/2 + 3*f + 9634. Determine l(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -20206*x**3 - 229519*x**2.\nAnswer: -121236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3968737*s**2*y + 216*s*y + s + 2489*y - 2 wrt s?\nAnswer: -7937474*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -v = 4*v - 2*t + 26, -52 = v - 4*t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 + -3 + 4 + 1 - 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 + 8 = 3*r. Let j be 8\/r*81\/2. Calculate the highest common factor of j and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13 - 52*d**3 + 0*d**2 + 63*d**3 + 0*d**2.\nAnswer: 11*d**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = v**3 - 10*v**2 - 11*v + 22. Let w be h(11). Let y be (-42)\/110 - (-3 - (-62)\/w). Which is the closest to -0.2? (a) y (b) 1\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 820 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -h. Let x(u) = 267*u**2. Give a(x(n)).\nAnswer: -267*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let -8*d**5\/3 + 89554*d**4\/3 - 84167658*d**3 + 10502217832*d**2\/3 + 18963039232*d\/3 + 2736076288 = 0. Calculate d.\nAnswer: -1, -3\/4, 44, 5576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-3)\/(-10))\/((-18)\/(-555)))\/(15\/1260*21).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -33 - 2*c**2 - 64 - 3*c**3 + 121 + 2*c**2.\nAnswer: -3*c**3 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-h + 3*h - 3*h)*(281*h + 11*h - 47*h + 118*h) - 4 + 4 - h**2.\nAnswer: -364*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(75)\/sqrt(5)*-5*-5)\/(1*sqrt(405)*3).\nAnswer: 25*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 52*p + 263. Let t be s(-4). Solve 47*i + t = 36*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-301)\/(-258) - (-4)\/(-6). Let c = -0.26 - 0.04. Sort c, -2\/5, g, -1 in ascending order.\nAnswer: -1, -2\/5, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/2 in 0.3, 1\/7, 1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 1272 divided by -8\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21366682?\nAnswer: 2, 10683341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Add -27560.463 and 33.\nAnswer: -27527.463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = 204171465\/1166 + -175104. Let y = 1\/106 + k. What is the nearest to -0.1 in y, 1\/4, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 0.5 (b) 0.11 (c) -26 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -179\/79 + 1095\/553. Which is the nearest to -0.1? (a) 46.7 (b) 1\/5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-791142)\/165)\/(1\/(-5)). Suppose 7*n - 139273 = b. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2.5 times -17?\nAnswer: 42.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -11 at least as big as -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide -10253 by -264.\nAnswer: 10253\/264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -0.02111 rounded to three dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.004596 - -0.395404. Let j = -2 + 2.2. Which is the closest to -1\/2? (a) y (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1596630, -1596627, -1596624?\nAnswer: -1596621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5 - 2. Suppose a - 2*j = 20, 3*a - 27 - 27 = w*j. Let o = -1 + a. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -k + 239. Let y(j) = 235*j**2. Determine h(y(r)).\nAnswer: -235*r**2 + 239","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 23*g**3 - 17*g**2 + 17. Let y(w) = 8*w**3 - 6*w**2 + 6. Let i = 27 - 21. What is i*j(r) - 17*y(r)?\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 358810 is divided by 97.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Let u = -62 - -32. Let i be 10\/(u\/(-9)) - 1. Solve -i*c + 12*c = 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 64, 93, 130, 187, 276, 409?\nAnswer: 598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -67536 (base 13) in base 5?\nAnswer: -22001020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - 2805 = -29*l + 13*l. Solve -29*i = 67 + l for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 58 less than 0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -s - 17 = -11*m, -13*s = 4*m - 2*m - 17*s + 16 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 26 + 17 = 0. Let i(f) = 15 - 7 - 8 + v*f. Let d(g) = -5*g**2. Calculate i(d(a)).\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -7846*c*f**3 + 18*c*f + 10*c - 2*f**2 - 11*f wrt f?\nAnswer: -47076*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 23232725 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -u**3 + 509354*u**2 - 446792*u?\nAnswer: -6*u + 1018708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -48\/159953 and 83\/34?\nAnswer: 319906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(153) - sqrt(153)*-1*-1)*-4)\/((sqrt(225) - sqrt(225)*-1)*-2 + sqrt(225)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4 - -6. Let n = q + 1. Suppose 3*k + s = 20, -6*k + n*s = -2*k - 44. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -s + 7. Let k = 46 - 43. Let i be h(k). Suppose -5*l + 0*l + 41 = 4*t, -i*t + 34 = -2*l. Solve 0*a = -3*a + t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -9, -0.5, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -4693a (base 11) in base 13?\nAnswer: -24a64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1571597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 13, -2, -2\/5, 1102717 in descending order.\nAnswer: 1102717, 13, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v be (2\/(-3))\/(2\/(-6)). Solve s - 5 = 0, 0 = m - 5*m + v*s + 6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 6\/5 of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 0 + (-6)\/(-4) + 7064\/16 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-84)\/(-8) + -3)*2. Let j be (-2)\/(-8) - f\/(-4). Which is smaller: j or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -0.2, 4, 3\/2, -2, -4\/3, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) 2 (c) 0.2 (d) 3.07 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -324*t - 2219. What are the prime factors of p(-54)?\nAnswer: 15277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -1523, -1519, -1513, -1505, -1495?\n\"Answer: o**2 + o - 1525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = -285 - -285. Put -7, 4\/5, -1\/2, b in increasing order.\nAnswer: -7, -1\/2, b, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1569637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = f**2 + 4. Let t be (6\/5)\/((-24)\/(-60)). Suppose t*v = 4*m + 28, -22 = -5*v + 2*m + 34. Suppose -d - 4 = -5*y, 2*d = y - d - v. Calculate h(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 7.1 + -6.29. Let h = 73.79 + d. Round h to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 2*o - 228 = -3*n, -244 = -3*o + n. Suppose -2*m = 2*m - o. Let q(s) = -13*s**3 - 224*s**2 - 49*s + 39. Let h be q(-17). Solve h*p + 0*p = -m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = n**2 - 10*n - 2. Let y be (-88)\/(-12)*((-30)\/(-4))\/5. What is m(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 84*c - 2103. Calculate q(25).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 42*a + 156 - 169 - 533. Calculate the smallest common multiple of 16 and a.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -1, -244, -20 in ascending order.\nAnswer: -244, -20, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j, 2 k, and 1 f when four letters picked without replacement from pkkdapjakfpdpdpkapa.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 1947434 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n - w + 16 = 0, -3*w + 112 - 9 = -147*n + 152*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 12\/25 of a microsecond in nanoseconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s - 2*i - 990 = 1344, -3*i = -2*s + 1161. Let a be (-15 - -42)\/((-3)\/(-10)). What is the greatest common factor of s and a?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*v + 8 + 23 - 120 + 24 + 65.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -7*z + 10*z. Suppose 0 = -2*n + 19 + z. Let p(s) = -19*s - 166. Let m be p(-9). Solve -2*b = -i + 7, -4*i - n = m*b - 9*i for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = d**3 - 16*d**2 + d - 19. Let z be i(16). Let g be (0 + -4 - z) + 73. What is the remainder when 60 is divided by (-20)\/(-6)*g\/15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-9)\/(-6) - 2)\/(-3). Let g(y) be the third derivative of 0 + 1\/48*y**4 + 0*y + x*y**3 - 2*y**2 - 1\/120*y**5. Factor g(t).\nAnswer: -(t - 2)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3616 and 800?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (y**2 - 3*y + 3*y)*(-154*y + 428 - 428).\nAnswer: -154*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 10517409 to the power of 1\/3, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -h + 11. What is the lowest common multiple of g(5) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**3*x)\/(x*x\/(x*x**(-1)\/x*x)))\/(x**5\/x**(-1\/2)) assuming x is positive.\nAnswer: x**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fv when two letters picked without replacement from {v: 2, f: 3, i: 8, m: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify q\/(q*q\/q**(-2\/69)*q)*q*q*(q\/(q\/(q*q\/(q\/(q*q**9\/q))*q*q))*q*q)\/q*q*(q\/(q**(-6)*q))\/((q\/(q\/(q*q\/(q**(1\/3)*q)))*q)\/q) assuming q is positive.\nAnswer: q**(444\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*y**5\/15 - 8*y**4 + 142*y**3 - 1012*y**2\/3 - 6776*y - 63888\/5.\nAnswer: 2*(y - 22)**3*(y + 3)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express 343*c**2 + 107*c**4 - 341*c**2 - c**3 + 20*c**4 as g*c**2 + d*c + h*c**4 + u + k*c**3 and give h.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.7 and 0.7?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 364\/(-4 - -8) + -5 is divided by 47?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = 6*d. Let c(y) = -y. Determine 33*c(t) + 6*k(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -446173 and 0.01866?\nAnswer: 446173.01866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = 111 - -41. Calculate the remainder when 94 is divided by 2568\/t + -3*2\/(-57).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 n and 1 x when three letters picked without replacement from {x: 3, n: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5 - 1 + 6)*(-3*d + 2*d - 16*d) to o*d + k and give o.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 156 and 3049512.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -40*b - 219. Let a(j) = -79*j - 426. Let u(z) = -3*a(z) + 5*d(z). Determine u(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 1\/10 of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*((sqrt(720) + 1 - sqrt(720))**2 - sqrt(720))*-1 + 1.\nAnswer: -2 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 253936 divided by -521?\nAnswer: -253936\/521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1209.1521 - 0.1521. Let i = -1203.01 + j. Let x = i - 6. Round x to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 98522.25 years?\nAnswer: 98.52225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -b**3 - 3*b**2 - 4*b - 2. Let w be z(-2). Suppose 0 = 4*d - w*d - 20. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w = -m - 8, -w = 5*m - 6 + 2. Let q = w + 1. Suppose 110 + 105 = q*b. What are the prime factors of b?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 41\/335 and 89\/6968.\nAnswer: 34840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -7728, -61586, -207710, -492234, -961292, -1661018, -2637546?\n\"Answer: -7689*n**3 + n**2 - 38*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) be the second derivative of z**4\/12 + z**2\/2 + 3*z. Let y be a(0). Let f(x) = -8*x**2 + x**2 - 3 + 2 + x**2. Determine f(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00001217 to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -13, -15, -5, 17, 51, 97, 155?\n\"Answer: 6*n**2 - 20*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 57 + -64. Let t(m) = 2*m**3 - 7*m**2 + 12*m + 9. Let a(q) = 5*q**3 - 21*q**2 + 35*q + 26. Let f(r) = -3*a(r) + 8*t(r). List the prime factors of f(w).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.1 - 0. Let l = -1.3 + 16.3. Let m = 12 - l. What is the nearest to w in -0.5, -1, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = f**2 + 10*f - 10. Let h be z(-11). Let g(d) = 9*d + 27. Let c be g(-8). Let j = -42 - c. Solve h = j*m + 10 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -3*b - 0*b. Let f be 6\/18 - (-2)\/3. Suppose f - b = -g. Solve 8 = -5*d - 4*m, g*d = -3*m - 7 + 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -177*a**2 - a. Let r(t) = 694*t. Calculate c(r(z)).\nAnswer: -85249572*z**2 - 694*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3030, -3014, -2986, -2946, -2894?\nAnswer: -2830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) be the third derivative of r**8\/1344 - r**7\/210 + r**6\/120 + 2*r**2 - 39. Factor h(j).\nAnswer: j**3*(j - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 132920?\nAnswer: 2, 5, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 0.04, -4, -18?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 148 a factor of 1499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 0, -184, -3 in decreasing order.\nAnswer: 0, -1, -3, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = -13 + 23. Let s(r) = -2*r + 4. Let q be s(3). Calculate the remainder when 0\/q + -2 - -31 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -747, -868, -535, 258, 1517, 3248, 5457?\nAnswer: 8150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.1 + 0.1. Let v be 12\/10*(-376)\/12. Let q = v + 37. Which is the nearest to y? (a) -1\/3 (b) q (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 367*l - 2474 = -14218 for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -172 + 100 = -6*t for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w + 14 = -10. Suppose -30 = -w*j + j. Solve u = j*u + 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = 0*p**2 + 3*p**2 - 2*p**2 + 1 + 5. Give x(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*v - 147 = -107. Solve -v*d + 0 = 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ndyn when four letters picked without replacement from mmydmdmynndyymm?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = 22 - 9. Solve -7*g = -y*g - 18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1\/4417 - 410807\/114842. What is the common denominator of ((-2282)\/4075)\/((-8)\/(-90))*(3 + (-65)\/30) and d?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 5.19136 to 2 decimal places.\nAnswer: 5.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3 - -7. Suppose -l*g + 4 = -3*g. Solve 0*n + n = -g for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 145 + -147. Is 270 - (-4 - (k + 3)) a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*k - 195 + 5. What is the remainder when k is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by -7881\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 836.9 times -118.2?\nAnswer: -98921.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1825567?\nAnswer: 347, 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) -174 (b) -0.016 (c) -2\/7 (d) 5 (e) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -61*b**3 + 3*b**2 - 15. Let d be k(-2). Is 485 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3883 and 121144.\nAnswer: -470402152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*c**4*m**3 - 265*c**4*m + 564736*c**3 - 347*c**2*m**3 - 195620*c**2*m**2 wrt c?\nAnswer: 48*c*m**3 - 6360*c*m + 3388416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 o and 1 n when four letters picked without replacement from noononnnnnoonoon.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -443101*j**2*w**3 + 10*j**2*w**2 + 5470*j*w**2 wrt w?\nAnswer: -2658606*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1204, -8792, -29152, -68662, -133700, -230644?\nAnswer: -365872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 9 minus 9106.80230997?\nAnswer: -9097.80230997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = 145\/182 + -67195\/66066. Calculate the common denominator of 23\/3 and b.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -11 divided by 108\nAnswer: -11\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 21\/4 in -1\/2, -3\/5, 2\/5, 0.1, 2\/9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 w when two letters picked without replacement from qbwq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b be 55\/(-44)*(-28)\/(-10) - -4. Let x = 0 - 0.1. Let t = -6\/35 + 1\/35. Sort t, b, x.\nAnswer: t, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -33.1 * -2419.\nAnswer: 80068.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 3 + -144aba00?\nAnswer: -144ab9b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = 9*x - 21. Let c = 72 - 67. Let h(d) = -3*d - 13*d + 17*d - c + 3. Determine -21*h(k) + 2*u(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-82)\/(-123) + (-1)\/(-3). Which is smaller: b or 5\/14?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 19\/9*2 - (-8)\/(-36). Factor t*f + 0*f**3 - 681 - 4*f**3 + 679 + 2*f**4.\nAnswer: 2*(f - 1)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 456726014 is divided by 5383?\nAnswer: 5379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = -6 + 8. Let m = -1 - -2. What is the smallest common multiple of t and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -37*b + 1492. Let j be y(37). Solve -109*x = -j*x + 42 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 0 + 0)*(-9*a**2 + 9*a**2 - a**3) + a**3 + a**3 + 0*a**3 - a**3 - 1 + 1 + (-2*a**3 + 2*a**2 - 2*a**2)*(-1 - 1 + 3) - a**3 - 3*a**3 + a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 3 + 0.6392378\nAnswer: 3.6392378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eew when three letters picked without replacement from ewweweeweeeww.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -2*n**2 - 1122*n - 123304. Calculate z(-411).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = w**3 + 11*w**2 - 3*w + 70. Let k be x(6). What is the greatest common divisor of k and 1909?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6\/36*0*29\/58.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -31 = -14*i - 101 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1587, 3109, 4657, 6243, 7879, 9577, 11349?\nAnswer: 13207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 0\/((-1)\/(-2)*2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be 5\/(-1)*(2 + 1). Let r be ((-24)\/(-10))\/(2\/x). Let h = 22 - r. Calculate the highest common factor of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2763126 nanograms in tonnes?\nAnswer: 0.0000000000000002763126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*d**(-2))\/(d\/d**(-5)))\/(d\/d**(-3)*d*d**(3\/8)) assuming d is positive.\nAnswer: d**(-99\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 266430277 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 6, z: 2}. What is prob of picking 1 z and 2 a?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Subtract 175.76506 from -0.603.\nAnswer: -176.36806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 594757 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide 3688 by 216.\nAnswer: 461\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = -5 - 1. Let m = 7.02 + -7. Let g = -1.1 - -1. What is the closest to g in m, c, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 652 minutes after 8:37 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 1 - (-88 - (-245 + 44))\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -69224*v**2. Let c(t) = -2*t. Determine k(c(z)).\nAnswer: -276896*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000725518214 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 71*s**2 - 71 - 2*s - 70 - s**3 + 132 as n + i*s + y*s**2 + w*s**3 and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = -20.3 + 20. Which is the third smallest value? (a) i (b) 5 (c) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/7, 59, -5, -7, -0.111 in descending order.\nAnswer: 59, 2\/7, -0.111, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -0.5, 0.11, -1367, 1, 0, 2\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -450 = -30*u + 15*u. Suppose -14*m + u*m = 7*m. Solve -6*r + r - 3*q = m, 4*q = -2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-66)\/(-36) + (-5)\/((-30)\/4).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = r**2 + 2*r - 8. What is the remainder when 52 is divided by q(-7)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (6561\/54)\/27*(-8)\/6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*f + 1 = 3*v, -f + 13*v - 27 = 9*v for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -167*i = -406 - 1598 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -m - 3. Let h be n(-10). Let f = h - 4. What is the second derivative of -2*i**3 + 3*i**3 - 3*i**3 + 0*i + f*i wrt i?\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*((sqrt(270) + (sqrt(270)*1 - sqrt(270) - sqrt(270)))*6 + sqrt(270)))\/(((1*sqrt(90) - sqrt(90))*5 + sqrt(90))\/sqrt(9)))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 + -20 + 25 + (0 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -7103*r - 156275. Calculate t(-22).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Calculate (-8)\/(-9) - (-48 - 13949\/(-333)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -q**2 - 7*q + 3. Let h be y(-4). Let f = 17 - h. Let o(s) = 4*s**2 - 2*s + 1. Let r be o(1). Solve r*k = -f - 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 16 - 18. Calculate the common denominator of 20\/60 - ((-452)\/30)\/w and 0 - 0 - (-26)\/(-11).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 610 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -5441*t - 3*j = -5436*t + 54, 6*t - 4*j - 34 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 1547*p + 1572*p - 9792 = 3272*p for p.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Add 5 and 2272507019.\nAnswer: 2272507024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert d6787 (base 14) to base 13.\nAnswer: 151642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 4*d = 27, -x + 4*x = -2*d + 51. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*n + 10 = -2*d + 6*n, n = 0. Let w = -22 + 26. Put d, w, -1, -3 in descending order.\nAnswer: w, -1, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) be the second derivative of -926*m**5\/5 - 2*m**4\/3 - 95*m**2\/2 + 2*m - 964. What is the third derivative of j(w) wrt w?\nAnswer: -22224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = t**3 + 5*t**2 - 6*t. Let w be s(-6). Suppose w = -4*q - 12, 4*y - 2*q - 31 = -y. What is the closest to 0 in 0.5, -3\/5, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.2282885 and -8?\nAnswer: 7.7717115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 2623 divided by -6\nAnswer: -2623\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 0.001795043 rounded to 5 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 47475*y - 1122 = 47458*y. What is the greatest common factor of y and 825?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -r**2 - 155*r - 544. Let f be q(-114). What is the highest common factor of f and 630?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (700\/(-1820))\/(798\/(-56)*50\/(-15)).\nAnswer: -2\/247","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine v, given that 23*v**2 + 25590013*v + 6675654 = 0.\nAnswer: -1112609, -6\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 154 + -141?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-10)\/(-4))\/((-10)\/(-8)). Let l(g) = 50*g**2 - 16*g**b - 32*g**2. Let n(i) = 164*i**2. Give n(l(v)).\nAnswer: 656*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -145c (base 14) to base 2\nAnswer: -111000011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3 + (sqrt(99) - 1*sqrt(99)))**2 + ((sqrt(99) - (sqrt(99)*3 + 1)) + sqrt(99))**2)*6.\nAnswer: 36*sqrt(11) + 654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 15214552487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 86953 is divided by 133.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h, 1 p, and 1 l when three letters picked without replacement from mxphpexlpee.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 9*k**3 - k**2 + k - 1. Let x = 2 - 0. Let l(f) = f - 1. Let m be l(x). Determine z(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.3 + 0.1. Let d = -903 - -1281. Let l = 376 - d. What is the fourth smallest value in q, l, 2\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.6 + -1.2. Let s = f - -2. Let t = -226330 - -905321\/4. Which is the fourth smallest value? (a) 5 (b) s (c) -15 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2011202 - -11?\nAnswer: 2011220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) be the third derivative of -1209*m**4\/8 + 151*m**3\/3 - 2*m**2 + 365*m - 3. Differentiate l(v) with respect to v.\nAnswer: -3627","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) be the first derivative of h**4\/4 - 80*h**3\/3 + 7419*h + 10372. Differentiate p(u) with respect to u.\nAnswer: 3*u**2 - 160*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) be the first derivative of 2*j**2 - 35*j + 9501. Determine d(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 5 + 25*w + 4 + 2 + 3 wrt w.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 6690144?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 671364.7kg in micrograms?\nAnswer: 671364700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:13 PM and 6:57 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-2820)\/(-846))\/(10\/102). What is the highest common factor of 153 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 8*r + 13*r + 2*r**2 + 1 - 3*r**2 - 20*r. Let t = -15 + 13. Let p = t - -4. Determine j(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15287388 divided by 9914.\nAnswer: 1542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -86 = 7*i - 9*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/((-160)\/(-8))*((-10810)\/329)\/23.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -2*z**2. Let o(d) be the second derivative of -7\/3*d**3 + 4*d + 0 + 0*d**2. Determine v(o(j)).\nAnswer: -392*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) be the third derivative of l**5\/60 + 5*l**4\/8 + 5*l**3\/2 - 2*l**2. Let g be q(-11). Is g\/(-1) - (5 - 7) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 8867610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1.226 + -0.926. Let g = 0.163 + -0.363. Which is the second biggest value? (a) -0.4 (b) z (c) -2\/15 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -2*c**2 + 6*c + 7. Let z be q(5). Let f = z + 18. Suppose f*b + a = -5, -4*a - a - 25 = -5*b. Which is greater: b or -2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1\/10 (b) -1\/7 (c) -2 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1190 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 14194 and 36002.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 36501251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -w**3 + 2*w**2 + 8*w - 15. Let j be y(-5). Suppose 24*i - j = -6*i. Which is the nearest to 0.2? (a) 5\/2 (b) i (c) -0.1 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*(sqrt(245)*-6 - sqrt(245)) - sqrt(245)) + sqrt(245) + sqrt(245) + sqrt(245) + -2 + 3)**2.\nAnswer: 126*sqrt(5) + 19846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a be 5 - 7 - (-2)\/(1\/1). Suppose a = 5*z - 4*b - 683, -407 = z - 4*z + b. Let c = z - -452. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -o - 25. Determine v(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1824443 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2\/(-11) + (-216)\/(-99). Suppose h*q + 5*d - 14 = 0, -3*d = -5*q + 2*d + 105. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-3)\/2)\/(2*15\/(-40)). Let q(w) = 16*w**3 + 4. Let y be q(g). Calculate the greatest common factor of y and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find m such that m**2 - 12*m + 11 = 0.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-4)\/10*100\/30. Let h(j) = -j**3 - 10*j**2 + 32*j + 99. Let u be h(-12). What is the closest to u in 4, 1\/3, z, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*y + 3*y**3 + 3*y)*(-3*y - y + 2*y) + (-1 + y**3 + 1)*(-3*y + 2*y - y) - 6*y**2 - 6*y**4 + 6*y**2 + 2*y**4 - 5*y**4 + 6*y**4 + 2*y**4 + y**4 - 5*y**4.\nAnswer: -13*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) be the second derivative of 164*k - 5*k**2 + 0 - 1\/3*k**3. Let z(p) = -2*p**2. Calculate w(z(q)).\nAnswer: 4*q**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*b + 26 + 102 = 0. Calculate the remainder when 111 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17870356 is divided by 1153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = 686 + -666. Solve -s = 5*b - 10*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 7, -14, -67, -152?\n\"Answer: -16*x**2 + 27*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a*a*a*(a*a**(-4\/9))\/a*(a*((a\/(a*a**(-1)))\/a)\/a)\/a*a)**(-29) assuming a is positive.\nAnswer: a**(-928\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 52*n**2 - 11 + 4*n**3 - 52*n**2 + 13*n + 11.\nAnswer: 4*n**3 + 13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Determine x so that x**5\/2 + 216*x**4 + 6908*x**3 + 56736*x**2 + 87560*x = 0.\nAnswer: -398, -22, -10, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 49986 divided by -9?\nAnswer: -5554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + t - 3*r = 1053, -5*r = 5. Calculate the lowest common multiple of t and 180.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 152511*u**3 + 83*u**2 - 1312032175?\nAnswer: 457533*u**2 + 166*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -2bbc2 (base 13) to base 16\nAnswer: -1456a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 396.4 - 381. Let r = -3 + 18. Let p = r - n. Is -0.5 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 37\/2 of a week?\nAnswer: 3108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 2*f - 6. Let u be q(3). Suppose 0 = -u*l - 4*l. Let 4*k**3 + 3*k**2 - 2*k - 2*k**4 - 2*k**3 - k**2 + l*k**4 = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 20 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 6054 or 6002?\nAnswer: 6054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 2*-43222\nAnswer: -86444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1950990?\nAnswer: 2, 3, 5, 65033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*a - w + 287, a + 5*w + 305 = 6*a. Does 29 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 2*q, 0 = -2*b + b + 4*q - 6. Sort b, 4, 0.\nAnswer: b, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1019.\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:33 AM and 6:01 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34*v + 59*v = 160975. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) be the first derivative of y**2\/2 + y - 2479. Let p(h) = -14*h - 1. What is -4*f(q) - p(q)?\nAnswer: 10*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 1, z: 1, s: 6, o: 1}. Give prob of picking 1 z, 1 s, and 2 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 27649166 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1347 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*s = 3*i - 11, 32*s + 56 = -6*i + 34*s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 2*w + 828 = 2*m, 3*w = -5*m + 2112. Let b be 74\/m*(-178)\/6. Let l = b - -216\/35. Find the common denominator of l and -31\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 9.9, -1\/4, -54, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 43 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 130.9540298 rounded to two decimal places?\nAnswer: 130.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 90067691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 1716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) be the first derivative of y**4\/4 - 8*y**3\/3 + 7*y**2\/2 + 2*y - 3. Let p be d(7). Suppose 2*t + 8 = 4*t. Solve -3*b - 4 = b, t*b = p*i - 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (244*m - 63 - 120*m - 123*m)*(4 - 4 + 1).\nAnswer: m - 63","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.3? (a) -1 (b) 4 (c) 0.011 (d) -1\/1653\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x be (166\/121)\/((-40)\/503). Let s = x - -1\/605. Find the common denominator of 2\/6 + (-217)\/(-24) and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 13\/4 of a day?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 9936401 by 10.\nAnswer: 9936401\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -58 + 35 - 29 - 2*k.\nAnswer: -2*k - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + (3 - 7) - (3 + -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -79, 5, -2\/9, -0.4, 0.07, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 9404 (b) -1\/4 (c) -2\/25 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 109 in 0.6, 4, 1\/4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from ttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/5*(4355\/(-182) + 25)\/(12\/(-8)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 0.3 times 1024032\nAnswer: 307209.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:54 PM and 9:36 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3 - -2. Suppose -4*h + n - 6*n = -8, 4*h - 20 = -2*n. Suppose -h*r = 18*r - 300. Which is smaller: o or r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4.94 - 5. Let w = 190379 + -190378.79. Are o and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 18*u**2 - 6*u + 36. Calculate k(-6).\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 140, 111, 52, -49, -204, -425?\nAnswer: -724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 40, 94, 148?\n\"Answer: 54*j - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 49, 52, 55?\n\"Answer: 3*w + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*b + 4*b + 2*b**2)*(13 + 4 - 1).\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*p - 961 = -217 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -s**3 + s + 2. Let k be n(0). Suppose -k*i - 4*z + 88 = 0, -i + 3*z = -0*z - 54. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 771716301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1179173260.\nAnswer: 2, 5, 58958663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1162.3 - -381.4. Let f = -781 - b. Which is bigger: 157 or f?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 36*a**3 - a**3 + 34*a**3 - 5*a**3.\nAnswer: 64*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is a - -d1?\nAnswer: db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 4080003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express -6650*g**2 - 41*g + 3344*g**2 + 3393*g**2 + 10*g as m*g + l*g**2 + u and give l.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 2395739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*i**4 + 2*i**5 - 4*i**4 + (3 + 0 - 2)*(-i**5 - 5*i**5 + 5*i**5) - 28*i**3 + 28*i**3 + 17*i**5 - 18*i**5 + 46*i**5 - 96*i**5.\nAnswer: -50*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2290 - 2518. Which is smaller: p or 2\/13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 13693583438.936 from 0.5.\nAnswer: -13693583438.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 312 and 52?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x be 4\/14*(6\/1)\/3. What is the closest to 1 in 2, -1\/2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -3*t**2. Let m(u) = u**3 + 3*u**2 + 2. Let h be m(-3). Suppose -6 + 2 = -h*j. Let r(g) = 5*g**2 - g**j - 2*g**2. Give f(r(c)).\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 6067397 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1045678611?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -4 (b) -1\/2 (c) 1\/4 (d) -2 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (-66 - (-3 - -37)) + -7 + 18?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -546147 divided by -21\nAnswer: 26007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1.2171 + 1.222238. Round l to 4 decimal places.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 119*r + 0 + 58*r + 0. Let i(y) = -2*y. Calculate x(i(h)).\nAnswer: -354*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = -7256.999996199 + 7257. What is y rounded to seven decimal places?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 - 52 - -13 - ((-2 - -5) + 6).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 0 + 3*x**4 - 3)*(-3*x + 0*x + 0*x) + 4*x**5 - 2*x**5 + 0*x**5.\nAnswer: -7*x**5 - 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = a**2 - 15*a + 18. Let c = 19 - 13. Let q be ((-63)\/c)\/(36\/(-48)). Let l be t(q). Solve -y + 7 = l for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*g + 14*g + 25*g = 3104. Calculate the highest common divisor of g and 10767.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 20.29 to 0 decimal places.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 288*l*q**3 - 4*q**3 + 9 with respect to l.\nAnswer: 288*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -a + 83401*y - 83414*y + 41, -5*a + 205 = 5*y for a.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (94 - 100) + -35 + 129?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3369500, -6738916, -10108332?\nAnswer: -13477748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = -6 - -10. Let n = t + -3.999998. What is n rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.2 and 191191?\nAnswer: -38238.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -706, 311, 3054, 7523, 13718?\n\"Answer: 863*t**2 - 1572*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 9, g: 2, r: 1, p: 8}. What is prob of picking 1 g and 1 r?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 52072, 104144, 156216, 208288, 260360, 312432?\n\"Answer: 52072*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*j**5\/7 - 1140*j**4\/7 - 10314*j**3 - 1199904*j**2\/7 + 39056160*j\/7 + 1177862400\/7 = 0.\nAnswer: -55, -52, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 3, e: 2, u: 2, v: 6, h: 2}. Give prob of picking 4 v.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/(d*d\/d**5))\/d**(-2\/3)*(d*d**1)**(-18\/5))**(-47) assuming d is positive.\nAnswer: d**(1786\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pdddpod. Give prob of picking 4 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 1152445087.3 to the nearest 10000.\nAnswer: 1152450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000467956735 to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 383 is divided by 46?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -24261562*4.\nAnswer: -97046248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3, 7, -0.1721, -0.92, -0.31?\nAnswer: -0.1721","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1495\/207 + (-5 - 2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Determine n so that -4*n**5 + 12*n**4 + 20*n**3 - 60*n**2 - 16*n + 48 = 0.\nAnswer: -2, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qwwwoqqwoqqq. What is prob of picking 2 o and 2 w?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 45491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = g**3 + 29*g**2 + 19*g - 25. Let l be j(-25). Let w be (12\/15)\/(70\/l). Is w smaller than 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 128965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*t - 15 = 5*g - 0*g, 4*t + 32 = -4*g - 4*t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 - (((-1 - 4) + -31 - 38) + (-1 - -11)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 26 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide 64284 by 22.\nAnswer: 2922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 100*o = 97*o + 7185. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -28015\/812 - -1\/812. Find the common denominator of 7\/18 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4 + 3. Let p be 14\/(-35)*(-31 - t). What is the highest common factor of p and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 254*h + 2139 = 2636 + 3821 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 699 minutes before 12:55 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -173\/10680 and -49\/132273936.\nAnswer: 661369680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Differentiate f*k*m - 48*f*k*u - f*m*u - 3*k*m*u + 10*k*m with respect to f.\nAnswer: k*m - 48*k*u - m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express (0*v**2 + 2*v**2 + 0*v**2)*(-5 + 1 + 2)*(3 - 1 - 1)*(-29*v + 61*v + 242*v) - v + 2*v**3 + v in the form g*v**2 + p + k*v**3 + x*v and give k.\nAnswer: -1094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -155151*j - 4. Let k be q(-3). Let l = k - 5571581\/12. Let p = 1145 - l. Find the common denominator of p and 5\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 91, -1, 4, -230 in decreasing order.\nAnswer: 91, 4, 1, -1, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g*g*g**3)**(-4\/13))**45\/((g\/(g*(g*g**8)\/g)*g*g*((g*g**(-5))\/g*g)\/g)\/(g**(3\/11)\/(g**(-5)\/g*g))) assuming g is positive.\nAnswer: g**(-7573\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -75 (base 13) to base 3\nAnswer: -10120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -54? (a) -0.05 (b) 4 (c) -0.2 (d) -37 (e) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}